8xy(x^3 y) fully simplify

Answers

Answer 1

Answer:

8x^4y^2

Step-by-step explanation:

Just plug it in to the calculator and that will be your result.


Related Questions

The table shows the price for different numbers of icecream treats:





Number of Icecream Treats Price(in dollars)
2 6
5 15
7 21
12 36


Does this table of numbers represent a proportional relationship? (5 points)

a
Yes, because the price is 3 times the number of icecream treats

b
Yes, because 3 times the price is the number of icecream treats

c
No, because the price of 5 icecream treats should be $12 and not $15

d
No, because the price of 12 icecream treats should be $48 and not $36

Answers

the answer is a, yes

Match each triangle on the left to its description on the right. Some answer choices on the right will not be used.

Answers

The triangles that are given above that matches the correct descriptions would be listed below as follows:

First triangle = Scalene right

Second triangle = Isosceles right

Third triangle = Scalene obtuse

What is a triangle?

A triangle is defined as the type of polygon that is always made up of three edges and three vertices. There are different types of triangle which are based on the length of their sides and the range of the interior angles.

Scalene right triangle is defined as the type of triangle that all three sides are different in length and one angle is equal to 90 degree. This is seen in the first triangle.

Isosceles right is defined as the type of triangle that has two side lengths that are equal. This is seen in the second triangle.

Scalene obtuse is defined as the type of triangle that one of the angles measures greater than 90 degrees but less than 180 degrees and the other two angles are less than 90 degrees. This is seen in the third triangle.

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Match each triangle on the left to its description on the right. Some answer choices on the right will

Question, Frank is wanting to create a scale model of the Eiffel Tower. the real Eiffel Tower is 984 feet tall and 328 feet wide at its base. If Frank's model is 15 inches tall, how wide (in inches) must his scale model be?

Answers

Answer:

5

Step-by-step explanation:

If Z3 and 25 are adjacent and
supplementary, what reason could support
the following statement?
Statement
23+ 25 = 180°
Reason
[?]

Answers

Being supplementary angles

Suppose that an airline uses a seat width of 16.6 in. Assume men have hip breadths that are normally distributed with a mean of 14.8 in. and a standard deviation of 1.1 in. Complete parts (a) through

Answers

The probability that if an individual man is randomly​ selected, his hip breadth will be greater than 16.6 in. is 0.0509.

What is a Z-table?

A z-table also known as the standard normal distribution table, helps us to know the percentage of values that are below (or to the left of the Distribution) a z-score in the standard normal distribution.

As the distribution is normally distributed, with a mean of 14.8 In., while the standard deviation is 1.1 inches. Therefore,

A.) The probability that if an individual man is randomly​ selected, his hip breadth will be greater than 16.6 in.

\(P(X > 16.6)=P(z > 16.6)\)

                    \(=1-P(z < 16.6)\)

                    \(=1-P\huge \text(\dfrac{16.6-\mu}{\sigma}\huge \text)\)

                    \(=1-P\huge \text(\dfrac{16.6-14.8}{1.1}\huge \text)\)

                    \(=\sf 1- 0.9491\)

                    \(\sf =0.0509\)

Hence, the probability that if an individual man is randomly​ selected, his hip breadth will be greater than 16.6 in. is 0.0509.

B.) The probability that 127 men have a mean hip breadth greater than 16.6 in.

\(P(X > 16.6)=P\huge \text(z > \dfrac{16.6-14.8}{\frac{1.1}{\sqrt{127} } } \huge \text)\)

                    \(=P(z > 18.44)\)

                    \(=1-P(z\leq 18.44)\)

                    \(\sf =1-0.9995\)

                    \(\sf =0.0005\)

Hence, the probability that 127 men have a mean hip breadth greater than 16.6 in. is 0.0005.

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Complete question is-

Suppose that an airline uses a seat width of 16.6 in. Assume men have hip breadths that are normally distributed with a mean of 14.8 in. and a standard deviation of 1.1 in. Complete parts (a) through (c) below. (a) Find the probability that if an individual man is randomly selected, his hip breadth will be greater than 16.6 in. The probability is (Round to four decimal places as needed.) (b) If a plane is filled with 127 randomly selected men, find the probability that these men have a mean hip breadth greater than 16.6 in. The probability is (Round to four decimal places as needed.) (c) Which result should be considered for any changes in seat design: the result from part (a) or part (b)? The result from should be considered because

(a) To find the probability of a randomly selected man having a hip breadth greater than 16.4 inches, we calculate the z-score and use the standard normal distribution.

(b) To find the probability of the mean hip breadth of 111 randomly selected men being greater than 16.4 inches, we use the Central Limit Theorem and calculate the z-score for the sample mean.

(c) The result from part (a) should be considered for seat design changes as it focuses on individual comfort and fit, while the result from part (b) considers the mean hip breadth of a group, which may not represent individual needs.

(a) To find the probability that a randomly selected man will have a hip breadth greater than 16.4 inches, we can use the standard normal distribution. First, we calculate the z-score using the formula: z = (x - μ) / σ, where x is the value we're interested in (16.4 inches), μ is the mean (14.1 inches), and σ is the standard deviation (1 inch).

Plugging in the values, we get: z = (16.4 - 14.1) / 1 = 2.3.

Next, we look up the z-score in the standard normal distribution table or use a calculator to find the corresponding probability. In this case, the probability associated with a z-score of 2.3 is approximately 0.0228.

Therefore, the probability that a randomly selected man will have a hip breadth greater than 16.4 inches is 0.0228 (or approximately 2.28%).

(b) To find the probability that the mean hip breadth of 111 randomly selected men will be greater than 16.4 inches, we use the Central Limit Theorem. According to the Central Limit Theorem, the distribution of sample means will approach a normal distribution, regardless of the shape of the original population, as the sample size increases.

Since the sample size is large (n = 111), we can assume that the distribution of the sample mean will be approximately normal. We calculate the standard error of the mean using the formula: σ / sqrt(n), where σ is the standard deviation of the population (1 inch) and n is the sample size (111).

Plugging in the values, we get: standard error = 1 / sqrt(111) ≈ 0.0947.

Next, we calculate the z-score for the sample mean using the formula: z = (x - μ) / (σ / sqrt(n)), where x is the value of interest (16.4 inches), μ is the population mean (14.1 inches), σ is the population standard deviation (1 inch), and n is the sample size (111).

Plugging in the values, we get: z = (16.4 - 14.1) / (1 / sqrt(111)) ≈ 24.17.

We then look up the z-score in the standard normal distribution table or use a calculator to find the corresponding probability. In this case, the probability associated with a z-score of 24.17 is very close to 0 (practically negligible).

Therefore, the probability that the mean hip breadth of 111 randomly selected men will be greater than 16.4 inches is approximately 0 (or extremely close to 0).

(c) When considering changes in seat design, the result from part (a) should be considered rather than the result from part (b). This is because individual passengers occupy the seats, and their individual comfort and fit should be the primary concern. The result from part (a) provides information about the probability of a randomly selected man having a hip breadth greater than 16.4 inches, which directly relates to the individual passenger's experience. On the other hand, the result from part (b) considers the mean hip breadth of a group, which may not accurately represent the needs and comfort of individual passengers.

The correct question should be :

Suppose that an airline uses a seat width of 16.4 in. Assume men have hip breadths that are normally distributed with a mean of 14.1 in. and a standard deviation of 1 in. Complete parts​ (a) through​(c) below.

​(a) Find the probability that if an individual man is randomly​selected, his hip breadth will be greater than 16.4 in. The probability is nothing . ​(Round to four decimal places as​needed.) ​

(b) If a plane is filled with 111 randomly selected​ men, find the probability that these men have a mean hip breadth greater than 16.4 in. The probability is nothing . ​(Round to four decimal places as​ needed.) ​

(c) Which result should be considered for any changes in seat​design: the result from part​ (a) or part​ (b)?

The result from ▼ part (b) part (a) should be considered because ▼ only average individuals should be considered. the seats are occupied by individuals rather than mean

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The value of y varies directly with x. If x = 4, then y= 10. What is the value of x when
y = 25
A 10
B. 2 1/5
C. 6
D. 15

Answers

The value of x when y = 25 is 10.

Thus, the correct answer to the question is Option A. 10

From the question given above, we were told that y varies directly as x. This can be written as:

y ∝ x

Removing the proportionality sign, we have

y = Kx.

Next, we shall determine the constant K. This can be obtained as follow:

x = 4

y = 10

Constant (K) =?

y = Kx.

10 = K × 4

Divide both side by 4

\(K = \frac{10}{4} \\\\K = \frac{5}{2}\)

Finally, we shall determine x when y is 25.

\(K = \frac{5}{2}\)

y = 25

x =?

y = Kx

\(25 = \frac{5}{2}x\)

Cross multiply

5x = 25 × 2

5x = 50

Divide both side by 5

\(x = \frac{50}{5} \\\\\)

x = 10

The value of x when y = 25 is 10.

Therefore, the correct answer to the question is Option A. 10

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a helium filled balloon has a volume of 50.0 l at 25 and 1.08 atm what volume will it have at .855 atm and 10.0 c

Answers

The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.

To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the initial temperature of 25 °C to Kelvin:

T1 = 25 + 273.15 = 298.15 K

Next, we can rearrange the ideal gas law equation to solve for V2:

V2 = (P1 * V1 * T2) / (P2 * T1)

We have:

P1 = 1.08 atm (initial pressure)

V1 = 50.0 L (initial volume)

P2 = 0.855 atm (final pressure)

T2 = 10.0 °C (final temperature)

Converting the final temperature to Kelvin:

T2 = 10 + 273.15 = 283.15 K

Substituting the values into the equation:

V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)

V2 ≈ 42.81 L

Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.

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Pls help me I am stuck

Pls help me I am stuck

Answers

Answer:

240, 270, 120, 225

Step-by-step explanation:

There are 360° in a circle, so you are going to multiply 360° by each fraction to get the Degree of Angle Measure.

I'm going to make 360 a fraction by putting it over 1.

\(\frac{2}{3} (\frac{360}{1}) =\frac{720}{3}= 240\\ \frac{3}{4} (\frac{360}{1}) =\frac{1080}{4}= 270\\\\\frac{2}{6} (\frac{360}{1}) =\frac{720}{6}= 120\\\\\frac{5}{8} (\frac{360}{1}) =\frac{1800}{8}= 225\\\)

How could you use the function y = sin 2x to find the zeros of y = tan 2x

Answers

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

To find the zeros of the function y = tan(2x), we can utilize the fact that tan(x) is equal to sin(x)/cos(x).

Given y = tan(2x), we can rewrite it as:

y = sin(2x) / cos(2x)

Now, let's consider the numerator of this expression, which is sin(2x). If we set sin(2x) equal to zero, we can determine the values of x that make the numerator zero:

sin(2x) = 0

By solving this equation, we can find the zeros of sin(2x). The solutions will be the values of x for which sin(2x) equals zero.

Similarly, we can look at the denominator of the expression y = sin(2x) / cos(2x), which is cos(2x). If cos(2x) equals zero, the denominator will be zero, which leads to undefined values for y. These points will be vertical asymptotes of the function tan(2x).

To find the zeros of y = tan(2x), we need to solve the equation sin(2x) = 0 to determine the x-values where sin(2x) is zero. These x-values will correspond to the zeros of the function tan(2x).

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select the type of sample that proportionately reflects the relevant diversity of opinions in the population from which it is drawn.

Answers

according to the question

given data in the question,

the type of sample-

random stratified sampling

The usage of satisfied sampling may be required for a variety of distinct features.

The population is first split into two or more strata or subgroups in this kind of random sampling. Beginning with the sampling procedure, each unit is assigned to one stratum based on the unit's historical performance. Following that, separate random samples are chosen using a basic random sampling technique from each stratum, which contains a percentage of the population. that is, they are both mutually and jointly exhaustive.

The traits that we are evaluating are distinct from those of members of another stratum and similar to those of the sample unit stratum.

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the type of sample that proportionately reflects the relevant diversity of opinions in the population from which it is drawn is random stratified sampling

What do you mean sample?

A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.

What is sample size maths?

The sample size in statistics is a measurement of the total number of samples utilized in an experiment. The sample size is 50, for instance, if we are evaluating 50 samples of city dwellers who watch TV. It's also known as sample statistics.

Considering the query

the information in the query

a sample's type-

stratified sampling at random

For a number of unique traits, satisfied sampling may be necessary.

In this type of random sampling, the population is initially divided into two or more strata or subgroups. Each unit is categorized into a stratum at the start of the sampling process depending on its prior performance. A basic random sampling approach is then used to select distinct random samples from each stratum, which represents a portion of the population. they are mutually and jointly exhaustive, in other words.

The characteristics that we are examining are different from those of members of one stratum and comparable to those of the stratum that contains the sample unit.

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What is x divided by x?

Answers

Answer:

its 1

Step-by-step explanation:

the value of x and x is like having 1÷1 = 1

same with x : x÷x=1

since x is just a value

When x is divided by x , it's 1.

What is division?

Division is the process of splitting a number or an amount into equal parts.

Here, given that,

x is divided by x

=x/x

=1.

Hence, When x is divided by x , it's 1.

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vacation hours earned by blue-collar and service employees. the u.s. bureau of labor statistics (bls) reported that the mean annual number of hours of vacation time earned by blue-collar and service employees who work for small private establishments and have at least 10 years of service is 100. assume that for this population the standard deviation for the annual number of vacation hours earned is 48. suppose the bls would like to select a sample of 15,000 individuals from this population for a follow-up study. a. show the sampling distribution of x, the sample mean for a sample of 15,000 individuals from this population. b. what is the probability that a simple random sample of 15,000 individuals from this population will provide a sample mean that is within one hour of the popu?lation mean? c. suppose the mean annual number of hours of vacation time earned for a sample of 15,000 blue-collar and service employees who work for small private establishments and have at least 10 years of service differs from the population mean m by more than one hour. considering your results for part (b), how would you interpret this result?

Answers

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1.

A. The sampling distribution of X, the sample mean for a sample of 15,000 individuals from this population, can be approximated by a normal distribution with a mean of 100 and a standard deviation of 4/15,000 = 0.0026667.

B. The probability that a simple random sample of 15,000 individuals from this population will provide a sample mean that is within one hour of the population mean can be found by finding the area of the normal curve that is between 99 and 101: 0.9772.

C. This result would indicate that there is a 97.72% chance that the mean annual number of hours of vacation time earned for a sample of 15,000 blue-collar and service employees who work for small private establishments and have at least 10 years of service is within one hour of the population mean.

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Please help!!! Please!!!​

Please help!!! Please!!!

Answers

Answer: 12

Step-by-step explanation:

Determine whether the following statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The graph of a function with origin symmetry can rise to the left and rise to the right. Choose the correct answer below. A. The statement is true. B. False, because the graph of a function with origin symmetry can rise to the left and fall to the right. C. False, because the graph of a function with origin symmetry can fall to the left and fall to the right.

Answers

False, because the graph of a function with origin symmetry can rise to the left and fall to the right.

The statement is false because a function with origin symmetry, also known as an odd function, cannot rise both to the left and to the right. By definition, a function with origin symmetry exhibits symmetry about the origin, which means that if we reflect any point on the graph across the origin, we will obtain another point on the graph.

Since the origin is the point (0, 0), if the function rises to the left of the origin, it must fall to the right of the origin, and vice versa. This behavior is a result of the function's odd symmetry. Therefore, a function with origin symmetry cannot rise to the left and rise to the right simultaneously.

In other words, if we consider a point (x, y) on the graph of an odd function, where x is a negative value, the corresponding point (-x, y) must also lie on the graph. However, if x is a positive value, the point (-x, y) will not lie on the graph since the function falls to the right of the origin.

Overall, it is important to understand the characteristics of functions with origin symmetry in order to correctly interpret their behavior on a graph.

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The table represents a linear function. What is the end behavior of the linear function?

The table represents a linear function. What is the end behavior of the linear function?

Answers

Answer:

  A.  x → ∞, y → ∞

Step-by-step explanation:

You want the end behavior of the linear function illustrated in the table.

Slope

The table shows that y-values increase as x-values increase. That means the line has a positive slope.

End behavior

The end behavior of any odd-degree polynomial will be a tendency toward infinity with the same sign as the leading coefficient (as x goes to +∞). It will tend in the opposite direction when x goes to -∞.

A linear function is a polynomial function of degree 1 (odd). This one has a positive slope (coefficient of x, leading coefficient), so will tend to +∞ as x goes to +∞.

  x → ∞, y → ∞

Mike works at a car dealership. He sells 2 cars to every 3 trucks. So far this month, Mike has sold 14 cars. Assuming his sales are consistently proportional, how many trucks has Mike sold this month?

A
15 trucks


B
9 trucks


C
21 trucks


D
18 trucks

Answers

Answer:

[C] 21 trucks

Step-by-step explanation:

Given;

Mike sells - 2 Cars to Every 3 Trucks

⇒ Question given;

Assuming his sales are consistently proportional,

how many trucks has Mike sold this month?

⇒ Solve;

Since every 2 cars = every 3 trucks

Let put it as a proportional:

Knowing that;

\(\mathrm{\frac{Cars}{Trucks} =\frac{Cars}{Trucks}}\)

Thus,

\(\mathrm{\frac{ 2\;Cars}{3\;Trucks} =\frac{14\;Cars}{ x\;Trucks}}\)

\(\mathrm{\frac{ 2}{3} =\frac{14}{ x}}\)

Multiply 14 by 3; [14 × 3]

= 42

Then divide by 2; [42/2]

= 21

Hence, Mike sold 21 trucks. As a result, the answer is [C] 21 trucks.

RevyBreeze

The volume of a right circular cone is 36 units3. If the height of the cone is 12 units, what is the radius of the cone?.

Answers

The radius of the cone, when the volume is 36 units^3 and the height is 12 units, is approximately 1.6939 units.

To find the radius of a right circular cone when the volume and height are given, we can use the formula for the volume of a cone and solve for the radius. Let's proceed with the calculation.

The formula for the volume of a cone is:

V = (1/3) * π * r^2 * h

Where:

V is the volume of the cone,

π is the mathematical constant pi (approximately 3.14159),

r is the radius of the cone, and

h is the height of the cone.

In this case, we are given that the volume of the cone is 36 units^3 and the height is 12 units. We can substitute these values into the formula and solve for the radius.

36 = (1/3) * π * r^2 * 12

To isolate the radius, we can divide both sides of the equation by (1/3) * π * 12:

36 / [(1/3) * π * 12] = r^2

Simplifying the right side:

36 / (4π) = r^2

Taking the square root of both sides:

√(36 / (4π)) = r

Simplifying further:

√(9 / π) = r

Therefore, the radius of the cone is √(9 / π) units.

To obtain an approximate value for the radius, we can substitute the value of π (approximately 3.14159) into the equation:

r ≈ √(9 / 3.14159)

Calculating this expression gives us the approximate value of the radius.

r ≈ √(2.8654) ≈ 1.6939

Hence, the radius of the cone, when the volume is 36 units^3 and the height is 12 units, is approximately 1.6939 units.

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GCF(a, b)• LCM (a, b) = 77
What are the possible values of a and b?

Answers

The variables a and b have a possible value of 7 and 11

How to determine the possible values of a and b?

The given parameters are

GCF(a, b)• LCM (a, b) = 77

As a general rule, the product of two numbers equals the product of the greatest common factor and the least common multiple of the numbers

This implies that

a * b = GCF(a, b)• LCM (a, b)

So, we have

a * b = 77

Express 77 as 7 * 11

a * b = 7 * 11

By comparison, we have

a = 7 and b = 11

Hence, the possible values are a = 7 and b = 11

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eric borrowed 5,000 to buy a used car. he agreed to make monthly payments of 175.00 for 36 months how much will how actually pay the bank

Answers

If Eric agreed to make monthly payments of 175.00 for 36 months, the total amount of money he will pay the bank is 6,300.

How much will Eric pay the bank?

Given that;

Amount of money borrowed = 5000Monthly payment = 175.00Number of month = 36Total amount of money paid to the bank = ?

To determine the total amount of money that Eric will pay the back, we simply multiply his monthly payment and the number of months.

175.00 × 36

= 6,300

Hence, if Eric agreed to make monthly payments of 175.00 for 36 months, the total amount of money he will pay the bank is 6,300.

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If Jimmy has 5 apples and Sandra gives him 2 more how much does he have?​

Answers

Answer:

He has 7

Step-by-step explanation:

5 plus 2 equals 7

Answer:

7 apples

Step-by-step explanation:

5 + 2 = 7

Justin had 2 passes intercepted
out of 17 attempts in his last
football game. What percent of
Justin's passes were
intercepted? Round to the
nearest tenth if necessary.

Answers

Answer:

12 percent

Step-by-step explanation:

Technically its 11.7647 but I'm pretty sure you would round that to 12 percent, if not 12 percent 11.8 percent. Hope this helps!

Roberts plants tomatoes and radishes in the areas shown in the model below

Answers

Complete Question:

Mrs. Roberts plants tomatoes and radishes in the areas shown in the model below.

\(Tomatoes: 35\ acres\)

\(Radishes: 28\ acres\)

Which expression is equivalent to the sum of the two areas?

Answer:

\(A + B = 63\)

Step-by-step explanation:

Given

Represent the area of Tomato with A and area of Radish with B

So:

\(A = 35\)

\(B = 28\)

The sum of the two areas is therefore:

\(Sum = A + B\)

Substitute 35 for A and 28 for B

\(Sum = 35 + 28\)

\(Sum = 63\)

So, you either represent the model as:

\(Sum = 63\)

or

\(A + B = 63\)

Answer:

Step-by-step explanation:

7(5+4)

Order the rational numbers from least to greatest.

4.35, 4 and 1/3rd , 4.35 , 14/3rd

Answers

The order of the rational numbers from least to greatest is 1 4/3, 4 1/3 and 4.35

How to order the rational numbers from least to greatest?

The numbers are given as:

4.35, 4 1/3, 1 4/3

Express the numbers as decimals

4.35, 4.33, 2.33

Order the number from least to greatest

2.33, 4.33, 4.35

Replace the converted numbers with their original form

1 4/3, 4 1/3 and 4.35

Hence, the order of the rational numbers from least to greatest is 1 4/3, 4 1/3 and 4.35

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PLEASE HELP!!!
Why do complementary or supplementary angles not have to be adjacent? Why are vertical angles always congruent? Justify your answers.

Answers

Answer:

Complementary angles do not have to be adjacent because they add up to 90 degrees, regardless of their placement. Vertical angles are always congruent because two intersecting lines will always form four angles that are equal in measure. The pairs of opposite angles which are formed by two intersecting lines will always be equal in measure.

Evaluate each expression using the values given in the table.

Evaluate each expression using the values given in the table.

Answers

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

From the question,

We have that:

\(\begin{gathered} a)\text{ f (1) =2 and g(1) =0} \\ We\text{ n}eed\text{ evaluate :} \\ (fog\text{ ) (1) = f(g(1)) = f (0) =-1} \\ \text{Then, (fog)(1) = - 1} \end{gathered}\)\(undefined\)

Evaluate each expression using the values given in the table.

The values of each composite function are:

a) -1

b) -1

c) 2

d) 0

e) 2

f) -4

We have,

These are composite functions.

It is written as:

(f o g) (x) = f (g(x))

Now,

From the table, the values for each function f and g at specific values x are taken.

a.

(f o g)(1)

f(g(1)) = f(0) = -1

b.

(f o g) (-1)

f(g(-1)) = f(0) = -1

c.

(g o f) (-1)

g(f(-1)) = g(-2) = 2

d.

(g o f) (0)

g(f(0)) = g(-1) = 0

e.

(g o g) (-2)

g(g(-2)) = g(2) = 2

f.

(f o f) (-1)

f(f(-1)) = f(-2) = -4

Thus,

The values of each composite function are:

-1, -1, 2, 0, 2, and -4.

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25t-13=-24t-30 for t

Answers

Answer:

t = -17/49

Step-by-step explanation:

25t-13=-24t-30

Add 24t to each side

25t+24t-13=-24t+24t-30

49t-13=-30

Add 13 to each side

49t-13+13=-30+13

49t = -17

Divide each side by 49

49t/49 = -17/49

t = -17/49

The right answer is - 17/49

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

 25t-13=-24t-30 for t

When graphing the solution of an inequality on a number line, you will see either an open or closed circle and a part of the line shaded.

Part A:
Describe what an open circle represents and when you would use it.

Part B:
Describe what a closed circle represents and when you would use it.

Part C:
Describe what the shading on the number line represents.

Answers

Part A: An open circle on a number line represents an excluded value, indicating that the endpoint is not included in the solution set of the inequality. It is used when the inequality includes the symbols < (less than) or > (greater than), which denote strict inequality.

Part B: A closed circle on a number line represents an included value, indicating that the endpoint is part of the solution set of the inequality. It is used when the inequality includes the symbols ≤ (less than or equal to) or ≥ (greater than or equal to), which denote inclusive inequality.

Part C: The shading on the number line represents the range of values that satisfy the given inequality. It indicates which values make the inequality true. Typically, the shading is done to the right or left of the circle(s) depending on whether the inequality is greater than or less than.

Part A:

For example, if we have the inequality x > 2, we would represent it with an open circle at 2 on the number line. This means that 2 itself is not a valid solution, but any value greater than 2 is included.

Part B:

For example, if we have the inequality x ≥ -3, we would represent it with a closed circle at -3 on the number line. This means that -3 itself is a valid solution, as well as any value greater than or equal to -3.

Part C:

For example, if we have the inequality x > 2, we would shade the portion of the number line to the right of the open circle at 2. The shaded region represents all the values greater than 2 that satisfy the inequality. The shading visually illustrates the solution set and helps identify the range of valid values for the variable in the given inequality.

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Please help, having trouble figuring out this word problem. Thanks if you do :)

Please help, having trouble figuring out this word problem. Thanks if you do :)

Answers

Answer:

-21. -19.-17

Step-by-step explanation:

Let x be the smallest

x+2 next smallest

x+4 be the largest

4*(x) = 18+6(x+4)

Distribute

4x = 18+6x+24

Combine like terms

4x = 42+6x

Subtract 6x from each side

-2x = 42

Divide by -2

-2x/-2 = 42/-2

x = -21

x+2 = -19

x+4 = -17

Answer:

- 21, - 19, - 17

Step-by-step explanation:

Let y be the smallest no.

& y + 2 next smallest no.

& y + 4 be the largest no.

= 4 * (y) = 18 + 6 * (y + 4)

4y = 18 + 6y + 24

4y - 6y = 42

- 2y = 42

= - 21

The other 2 numbers are:

y + 2

= - 19

y + 4

= - 17

Hope this helps!

Helpful conversions: 1 acre =43,560 square feet 1 hectare =10,000 square meters 1lb=454 grams 1 kg=2.2lbs=1000grams 1. Scouting for cover crop establishment in the field requires conversion of your massbased seeding rate (e.g., lbs/acre) to a population-based establishment rate (e.g., plants/f? ). Let's practice doing that. Convert the following seeding rates: a. Cereal rye - 60 ibs/acre = H seeds/square foot b. Crimson clover −15 kg/ha= H seeds/square meter 2. Convert the following population-based seeding rates to mass-based seeding rates. a. Oats −30 plants/square foot = Ibs seedlacre b. Hairy vetch −20 plants/square meter = kg seedsha 3. Your farm manager wants you to drill crimson clover seed, but the seed hasn't arrived yet and you don't know if it's coated or not. If the seed is not coated, the seeding rate is 20 blacre. Will you need to increase or decrease your seeding rate if the seed is coated?

Answers

Coating the seed typically improves seed quality and germination rates, so the same seeding rate can be maintained even with coated seed.

To convert mass-based seeding rates to population-based establishment rates, we need to consider the area conversion factors provided:

a. Given a seeding rate of 60 lbs/acre for cereal rye, we can convert it to seeds per square foot by using the conversion factor of 1 acre = 43,560 square feet.

b. Given a seeding rate of 15 kg/ha for crimson clover, we can convert it to seeds per square meter using the conversion factor of 1 hectare = 10,000 square meters.

To convert population-based seeding rates to mass-based seeding rates, we can use the given area conversion factors:

a. Given a seeding rate of 30 plants/square foot for oats, we can convert it to pounds of seed per acre.

b. Given a seeding rate of 20 plants/square meter for hairy vetch, we can convert it to kilograms of seed per hectare.

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The sum of a three digit number is 11. The hundred's digit is three times the ten's. If the digits are reversed in order,

the new number is 297 less than the original. What is the

original number? Any three digit numbers can be expressed as 100h+10t+u

Answers

The original number is 385.

Let's use the given information to form equations:

From "the sum of a three digit number is 11", we have h + t + u = 11.

From "the hundred's digit is three times the ten's", we have h = 3t.

From "the new number is 297 less than the original", we have 100u + 10t + h = 100h + 10t + u - 297.

We can simplify the last equation to get 99h - 99u = 297, which leads to h - u = 3. Substituting h = 3t into this equation gives us 2t - u = 1.

Now we can use the first equation to find u: u = 11 - h - t = 11 - 3t - t = 11 - 4t. Substituting this into the previous equation gives us 2t - (11 - 4t) = 1, which simplifies to t = 4. Then we can find h and u: h = 3t = 12 and u = 11 - h - t = -1 (which doesn't make sense as a digit). This means we made an error, so let's backtrack and check our work.

If we start with t = 3 instead of t = 4, we get h = 9 and u = -1 again. But if we start with t = 5, we get h = 15 and u = 1, which satisfies all the conditions. Therefore, the original number is 100h + 10t + u = 385.

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