Simplify each of the following expressions:
-5 + 2 + 8 =

Answer:

because see a time

Step-by-step explanation:

Answer:

The common difference in the given sequence is 5.

Step-by-step explanation:

The common difference in the sequence is 5 because they all add by 5 each time for example 5 + 5= 10 and 10+5=15

Answer:

18inch

Step-by-step explanation:

Answer:

I sadly cannot answer your problem, hence you don't have enough evidence to calculate the radius. To find the radius, you have to do C/2π. You need the circumfernece to be able to solve this.

Answer:

Step-by-step explanation:

The unknown is 5 I.e

1+5 = 6

5 + 5 = 10

8 + 5 = 13

Then n + 5

Answer:

help calll me daddy

Step-by-step explanation:

Answer:

y = -1/2x + 1/2

Step-by-step explanation:

Step 1: Write in known variables

y = -1/2x + b

Step 2: Find b

2 = -1/2(-3) + b

2 = 3/2 + b

b = 1/2

Step 3: Rewrite equation

y = -1/2x + 1/2

Answer:

250

Step-by-step explanation:

Answer:

4.47

Step-by-step explanation:

3x²+31=91

3x²=91-31

3x²=60

x²=60÷3

x²=20

x=√20

x=4.47

Answer:

5c = 24.75

Step-by-step explanation:

5c = 24.75  If you divide both sides by 5, you will find out how much each movie cost.

\(\frac{5c}{5}\) = \(\frac{24.75}{5}\)

c = 4.95

Each movie cost $4.95 to rent.

Answer:

One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:

Iaₙ₊₁I < IaₙI

This means that the absolute value of the terms must decrease as n increases.

Then we must have:

\(\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}\)

We can write this as:

\(\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}\)

If we assume that n is a really big number, then:

n + 1 ≈ 1

And we can write:

\(\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}\)

Then we have the inequality

\(1 > (x - 2)/3\)

And remember that this must be in absolute value, then we will have that:

-1 < (x - 2)/3 < 1

-3 < x - 2 < 3

-3 + 2 < x < 3 + 2

-1 < x < 5

The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.

Answer:

First, let's establish a few facts based on your question:

1. The food costs $7 per pound.

2. An adult animal eats x pounds of food per day.

3. There are other costs totaling $15,000 per week.

4. We are assuming a 7-day week.

Now, let's write an expression for the total cost of keeping an adult animal for one week.

The food cost for one day for an adult animal is 7x dollars (because the animal eats x pounds of food per day, and each pound costs $7).

So, an adult animal's food cost for one week (7 days) is 7x * 7 dollars.

Plus the other expenses of $15,000 per week, the total cost for one week becomes:

7x * 7 + 15,000

This simplifies to:

49x + 15,000

This expresses the total cost of keeping an adult animal for one week.

The baby animal usually eats less than an adult. We can't establish an exact formula if we don't have a specific proportion or ratio. Let's assume a baby animal eats half the amount of an adult animal (0.5x); you could adjust this as per the actual ratio for your specific animal.

So, a baby animal's food cost for one day is 7*0.5x dollars.

A baby animal's food cost for one week (7 days) is 7*0.5x * 7 dollars.

So, adding the other expenses of $15,000 per week, the total cost for one week becomes:

7*0.5x * 7 + 15,000

This simplifies to:

24.5x + 15,000

This would be the expression for the total cost of keeping a baby animal for one week, assuming it eats half the amount of an adult. You can adjust the 0.5 factor to match your specific animal's actual food consumption ratio of the baby to the adult.

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

y = 2/3 x + 1/3

Step-by-step explanation:

First find the slope of the given line by solving for "y":

3 x + 2 y = -7

2 y = - 3 x - 7

y = - 3/2 x - 7/2

which shows a slope of "- (3/2)"

Then, the slope of a line perpendicular to it must be "the opposite of the reciprocal" of this slope, that is: "2/3"

We use this info and the requested point (1, 1) to find the complete equation of the perpendicular line:

y = 2/3  x + b

1 = 2/3 (1) + b

1 - 2/3 = b

b = 1/3

Then the equation of the line is:

y = 2/3 x + 1/3

which agrees with the third answer shown in the list of options.

9514 1404 393

Answer:

  (a) 422 / 495, rational

Step-by-step explanation:

The two-digit repeating decimal 0.2525... is equivalent to those two digits over an equal number of 9s: 25/99.

When 3/5 is added to that, the result is ...

  25/99 +3/5 = (25(5) +99(3))/(99·5) = (125 +297)/495 = 422/495

The sum of two rational numbers is always rational.

Answer:

3x-x+2=4

Step-by-step explanation:

i ain readin allat !!

The speed of the slower plane is 325 mph and the speed of the faster plane is 365 mph.

This is a classic problem of relative speed. The two planes are moving toward each other, so their effective speed is the sum of their individual speeds. If we denote the slower plane's speed as x mph, then the faster plane's speed would be x + 40 mph. As they pass each other in 4 hours, we get the equation: 4*(x + x + 40) = 2760.

Solving this equation, we first simplify it to 2x + 40 = 690. Subtracting 40 from both sides gives us 2x = 650. Dividing both sides by 2 yields x = 325 mph, which is the speed of the slower plane, and the faster plane's speed is x + 40 = 365 mph.

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A number = x

Is multiplied by 6 = 6x

And the product is added to 4 = 6x + 4

The sum is equal to the product of 2 and 17 ; 6x + 4 = 2 * 17

Solve for x

6x + 4 = 2 * 17

Combine like terms

6x = 34 - 4

6x = 30

Divide both sides by 6

6x/6 = 30/6

x = 5

Answer:

5, hope this helped my love have a good rest of your day ^^

Step-by-step explanation:

the product of 2 and 17 is 34

34 - 4 is 30

30 devided by 6 is 5

therefore, by working backwords we can figure out that this math riddle would be equal to 5 ^^

It should be noted that a dot plot, is also known as a strip plot or the dot chart. It is a form of data visualization which consists of the data points that are plotted as dots on a graph with an x- and y-axis.

Your information is incomplete. Therefore, an overview will be given.It should be noted that fit plots are tge types of charts that are used to graphically show certain data trends or groupings

A dot plot is the graphical display of data using dots. It should be noted that a good example is the choice of foods that one and their friends ate for snacks.

A dot plot is a graphical display that is used in statistics that uses dots to represent data. They can be used for univariate data; which is, data with only one variable which is being measured. They are useful when the variable is quantitative.

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Answer:

---------------------------------

Answer:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

Answer: 225

Step-by-step explanation:

Create a ratio part/whole for radians = part/whole for degrees

\(\frac{\frac{5\pi }{4} }{2\pi } = \frac{x}{360}\)      Keep change flip because you are dividing fractions for left side

\(\frac{5\pi }{4} (\frac{1}{2\pi }\)) = \(\frac{x}{360}\)

\(\frac{5}{8} (\frac{360}{1} ) =x\)

x = 225

The mean from a Histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

Out of the given options, the display of data for which it is not possible to find the mean is the stem-and-leaf plot.

A histogram displays data in the form of bars, where the height of each bar represents the frequency of data within a specific range. From a histogram, it is possible to calculate the mean by summing up the products of each value with its corresponding frequency and dividing it by the total number of data points.

A table presents data in a structured format, typically with rows and columns, allowing for easy calculation of the mean. By adding up all the values and dividing by the total number of values, the mean can be obtained from a table.

A stem-and-leaf plot organizes data by splitting each value into a stem (the first digit or digits) and a leaf (the last digit). While a stem-and-leaf plot provides a visual representation of the data, it does not directly provide the frequency or count of each value. Hence, it is not possible to determine the mean directly from a stem-and-leaf plot without additional information.

A dot plot represents data using dots along a number line, with each dot representing an occurrence of a value. Similar to a histogram and table, a dot plot allows for the calculation of the mean by summing up the values and dividing by the total number of data points.

In summary, while it is possible to find the mean from a histogram, table, and dot plot, it is not possible to determine the mean directly from a stem-and-leaf plot.

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Answer: A

Step-by-step explanation:

Formula for inverse of a matrix is:

\(A=\left[\begin{array}{cc}a&b\\c&d\end{array}\right]\qquad \rightarrow \qquad A^{-1}=\dfrac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\end{array}\right]\)

\(A=\left[\begin{array}{cc}2&5\\3&8\end{array}\right] \qquad \rightarrow \qquad A^{-1}=\dfrac{1}{2(8)-5(3)}\left[\begin{array}{cc}8&-5\\-3&2\end{array}\right]\\\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \quad =\dfrac{1}{1}\left[\begin{array}{cc}8&-5\\-3&2\end{array}\right]\\\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \quad =\left[\begin{array}{cc}8&-5\\-3&2\end{array}\right]\)

We have that  Option A is the correct option as its the correct in verse of the Matrix A

From the question we are told that:

\(A= \begin{vmatrix}2 & 5 \\3 & 8\end{vmatrix}\)

Inverse of a Matrix

The inverse of matrix is another matrix, which on multiplication with the given matrix gives the multiplicative identity. For a matrix A, its inverse is A^{-1}, and A.A^{-1} = I.

Therefore the inverse of the Matrix A is

\(A= \begin{vmatrix}2 & 5 \\3 & 8\end{vmatrix}\)

Giving

\(A^{-1}= \begin{vmatrix}8 & -5 \\-3 & -2\end{vmatrix}\)

In conclusion

The correct Option is Option A as its the correct in verse of the Matrix A

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In conclusion

The graph which correct shows an image and pre-image after reflecting across the line; y = -x as required in the task content is; Option 1.

It follows from the task content that the answer choice which correctly represents an image ajd pre-image after reflecting across the line; y = -x.

First it is noteworthy to know that the line; y = -x is one which passes through the origin and has a negative slope of; -1.

On this note, by observation; when the line y = -x is drawn; the graph which represents the image and pre-image after reflecting across the line; y = -x is; Option 1.

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Answer:

(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is 0.0537.

(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is 0.0023.

(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is 0.1101.

Step-by-step explanation:

We are given that according to an NRF survey conducted by BIG research, the average family spends about $237 on electronics in back-to-college spending per student.

Suppose back-to-college family spending on electronics is normally distributed with a standard deviation of $54.

Let X = back-to-college family spending on electronics

SO, X ~ Normal(\(\mu=237,\sigma^{2} =54^{2}\))

The z score probability distribution for normal distribution is given by;

                                 Z  =  \(\frac{X-\mu}{\sigma}\)  ~ N(0,1)

where, \(\mu\) = population mean family spending = $237

           \(\sigma\) = standard deviation = $54

(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is = P(X < $150)

        P(X < $150) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{150-237}{54}\) ) = P(Z < -1.61) = 1 - P(Z \(\leq\) 1.61)

                                                             = 1 - 0.9463 = 0.0537

The above probability is calculated by looking at the value of x = 1.61 in the z table which has an area of 0.9463.

(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is = P(X > $390)

        P(X > $390) = P( \(\frac{X-\mu}{\sigma}\) > \(\frac{390-237}{54}\) ) = P(Z > 2.83) = 1 - P(Z \(\leq\) 2.83)

                                                             = 1 - 0.9977 = 0.0023

The above probability is calculated by looking at the value of x = 2.83 in the z table which has an area of 0.9977.

(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is given by = P($120 < X < $175)

     P($120 < X < $175) = P(X < $175) - P(X \(\leq\) $120)

     P(X < $175) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{175-237}{54}\) ) = P(Z < -1.15) = 1 - P(Z \(\leq\) 1.15)

                                                         = 1 - 0.8749 = 0.1251

     P(X < $120) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{120-237}{54}\) ) = P(Z < -2.17) = 1 - P(Z \(\leq\) 2.17)

                                                         = 1 - 0.9850 = 0.015

The above probability is calculated by looking at the value of x = 1.15 and x = 2.17 in the z table which has an area of 0.8749 and 0.9850 respectively.

Therefore, P($120 < X < $175) = 0.1251 - 0.015 = 0.1101

The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.

To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.

Add the square of half of the coefficient of x to both sides of the equation:

x² + 2x + (2/2)² = 319 + (2/2)²

x² + 2x + 1 = 320

The left-hand side of the equation can now be factored as a perfect square:

(x+1)² = 320

This is the equation in the form (x+a)²=b, where a=1 and b=320.

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The complete question is as follows:

What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?

x² + 2x = 319

The radius of the circle, marked p on the diagram, is approximately 5.8 cm.

Radius is a term used in geometry to describe the distance from the center of a circle to any point on the circumference. It is a line segment that has its two endpoints at the center of the circle and at any point on the circumference.

The area of a sector is equal to the fraction of the circle's area that the sector occupies multiplied by the area of the entire circle.
Therefore, the area of the sector is equal to (θ/360) × πr^2.
Since the area of the sector is given as 85 cm^2, we can rearrange the equation to get:
85 = (θ/360) × πr^2
Rearranging further, we get:
r^2 = (85 × 360)/(πθ)
Taking the square root of both sides, we get:
r = √((85 × 360)/(πθ))
Since the angle θ is not given, we cannot solve for r. However, we can approximate the angle θ to be equal to 360° since the sector occupies the entire circle.
Therefore, the radius of the circle is equal to:
r = √((85 × 360)/(π × 360))
r = √(85/π)
r ≈ 5.8 cm
Therefore, the radius of the circle, marked p on the diagram, is approximately 5.8 cm.

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Answer:

Linear

Step-by-step explanation:

cost = 79 * weeks

79*1=79

79*2=158

etc.