A bag of flour weighs 5 pounds. The flour is priced per ounce. How many ounces of flour are in the bag?

1 pound = 16 ounces

9514 1404 393

Answer:

  3/(x +1) -4/(x +1)^2

Step-by-step explanation:

The partial fraction expansion will be of the form ...

  A/(x+1)^2 +B/(x+1)

We can find the values of A and B by writing the sum of these terms:

  = (A +B(x +1))/(x +1)^2

Then we require ...

  B = 3

  A +B = -1   ⇒   A = -4

So, the desired expansion is ...

  3/(x +1) -4/(x +1)^2

Answer:

Matt would walk 8 miles in to hours.

Step-by-step explanation:

15 minutes is 1/4 of an hour, meaning it would be 1/8 of 2 hours.

1 mile times 8 = 8 miles

Hope that helps!

Given,

The function is,

Taking, x = 3 then,

Substituting the value of x in the above expression then,

Hence, 7 is the equivalent value of f(3) for the given function.

Therefore, option 1 is correct.

We may infer that y = 5x - 3 has a positive slope and a negative

y-intercept, which are 5 and -3, respectively, from the provided possibilities.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.

Where slope = m and b = y-intercept.

Given, an equation that represents a non-proportional linear function with a positive slope and a negative y-intercept.

From the given options we can conclude that y = 5x - 3 has a positive slope and negative b intercept they are 5 and - 3 respectively.

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Answer:

The equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.

Step-by-step explanation:

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

We have the point (-6,8) and a slope of -5/3.

Step 1: Use the point-slope formula to find the equation of the line in point-slope form.

y - y1 = m(x - x1)

where x1 and y1 are the coordinates of the given point.

y - 8 = (-5/3)(x - (-6))

Simplify this equation:

y - 8 = (-5/3)(x + 6)

Step 2: Convert the equation to slope-intercept form.

Distribute (-5/3) to get:

y - 8 = (-5/3)x - 10

Add 8 to both sides:

y = (-5/3)x - 2

This is the equation of the line in slope-intercept form. Therefore, the equation of the line that passes through the point (-6,8) and has a slope of -5/3 is y = (-5/3)x - 2.

Center-to-center spacing between the beams is 11.375in

If there are 19 beams then there will be 18 spaces between them.

Let's call the center-to-center spacing "x". Then we can set up the following equation:

18x = 204.75

To solve for x, we can divide both sides by 18:

x = 204.75 / 18

x = 11.375 (to 3 decimal places)

Briefly, a beam is a structural element that is designed to resist loads applied transverse to its longitudinal axis.

Beams are often made of materials like:

Beam comes in various sizes and shape depend on the specific application and the loads that they are designed to support.

Beams are an important component of many types of structures, from buildings and bridges to vehicles and machinery.

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Answer: 2.5 quarts

Step-by-step explanation: I looked it up

Answer:

40 cups in 10 quarts

Step-by-step explanation:

1 quart = 4 cups

So...

4*10=40

Answer:

x = 37°

Step-by-step explanation:

the sum of the exterior angles of a convex polygon is 360° so the sum of all the angles must yield to 360°.

just a trial!!!!!

x+2x+x+10+x+18+3x+x-1=360°

9x=333

x= 37°

Answer:

x=37 degrees

Step-by-step explanation:

9x + 27 = 360

- 27

9x =333

x= 333/9

x= 37

Hope this helps!

Answer:

See below

Step-by-step explanation:

Starting with 42, there would be two branches of 2 and 21 connected to 42. Since 2 is prime, there are no more branches. Since 21 is composite, then two more branches are drawn of 3 and 7 connected to 21. Since 3 and 7 are prime, there are no more branches.

Therefore, the prime factorization of 42 is 2*3*7, and its factors would be 1,2,3,6,7,14,21,42.

This illustrates the rule of large numbers, according to which the sample mean approaches the population mean as the sample size rises.

The likelihood or chance of an occurrence occurring is measured by probability. It is expressed as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty of the occurrence. Additionally, probabilities can be stated as percentages, with 0% denoting an improbable event and 100% denoting a specific event. By dividing the number of favourable outcomes by the total number of potential outcomes, the probability of an occurrence is determined.

given

Since there are six potential outcomes and only one of them is a 5, the theoretical probability of rolling a 5 on a fair die is 1/6.

Mya's experimental chance of rolling a 5 after 100 trials is 25/100, which can be expressed as 1/4. Her experimental probability after 200 attempts is 30/200, which can be expressed as 3/20.

This implies that the experimental probability moves closer to the theoretical probability as the number of trials rises.

In other words, Mya's experimental findings get closer to the anticipated theoretical probability the more times she rolls the die.

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The complete question is :-   Communicate and Justify Mya rolls a fair die and counts the number of times she rolls a 5. She rolls a 5 on 25 of the first 100 trials. She rolls a 5 on 30 of the first 200 trials. Compare the experimental probability to the theoretical probability after 100 trials and 200 trials. What do you notice? Explain.

Step-by-step explanation:

the area of a parallelogram is

baseline × height = 5 × 3.2 = 16 m²

Answer:

1/14

Step-by-step explanation:

The ratio is 5:70. The fraction form of that is 5/70. To get the lowest terms, I divided both numbers by 5. So it is 1/14

The first step to solve the equation 1 1/2 + 2 1/3 = ? is (a) First, you should convert the mixed numbers to improper fractions.

The equation is given as:

1 1/2 + 2 1/3 = ?

The terms in the equation are mixed numbers.

So, the first stem is to convert the mixed numbers to improper fractions

Hence, the true statement is (a) First, you should convert the mixed numbers to improper fractions.

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Answer:

Step-by-step explanation:

What are the other colors?

if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2

similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....

depends on how many colors are there

Answer:

  (d)  (1, 2)

Step-by-step explanation:

You want to know which of the given points satisfies the inequality.

We find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)

__

Additional comment

Another way to choose the answer is to try each of the points in the inequality.

If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).

You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.

Answer:

Step-by-step explanation:

4+(25-512)=-487+5=-482

The value of the given expression by basic number system law will be 21.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

As per the given expression,

4 + (5² - 2³)

By basic number system concepts,

⇒ 4 + (25 - 8)

⇒ 4 + 17

⇒ 21

Hence "The value of the given expression by basic number system law will be 21".

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Answer:

The equations have one solution at (5, -5).

Step-by-step explanation:

We are given a system of equations:

\(\displaystyle{\left \{ {{-2x+5y=-35} \atop {7x+2y=25}} \right.}\)

This system of equations can be solved in three different ways:

Graphing the Equations

We need to solve each equation and place it in slope-intercept form first. Slope-intercept form is \(\text{y = mx + b}\).

Equation 1 is \(-2x+5y = -35\). We need to isolate y.

\(\displaystyle{-2x + 5y = -35}\\\\5y = 2x - 35\\\\\frac{5y}{5} = \frac{2x - 35}{5}\\\\y = \frac{2}{5}x - 7\)

Equation 1 is now \(y=\frac{2}{5}x-7\).

Equation 2 also needs y to be isolated.

\(\displaystyle{7x+2y=25}\\\\2y=-7x+25\\\\\frac{2y}{2}=\frac{-7x+25}{2}\\\\y = -\frac{7}{2}x + \frac{25}{2}\)

Equation 2 is now \(y=-\frac{7}{2}x+\frac{25}{2}\).

Now, we can graph both of these using a data table and plotting points on the graph. If the two lines intersect at a point, this is a solution for the system of equations.

The table below has unsolved y-values - we need to insert the value of x and solve for y and input these values in the table.

\(\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & a \\ \cline{1-2} 1 & b \\ \cline{1-2} 2 & c \\ \cline{1-2} 3 & d \\ \cline{1-2} 4 & e \\ \cline{1-2} 5 & f \\ \cline{1-2} \end{array}\)

\(\bullet \ \text{For x = 0,}\)

\(\displaystyle{y = \frac{2}{5}(0) - 7}\\\\y = 0 - 7\\\\y = -7\)

\(\bullet \ \text{For x = 1,}\)

\(\displaystyle{y=\frac{2}{5}(1)-7}\\\\y=\frac{2}{5}-7\\\\y = -\frac{33}{5}\)

\(\bullet \ \text{For x = 2,}\)

\(\displaystyle{y=\frac{2}{5}(2)-7}\\\\y = \frac{4}{5}-7\\\\y = -\frac{31}{5}\)

\(\bullet \ \text{For x = 3,}\)

\(\displaystyle{y=\frac{2}{5}(3)-7}\\\\y= \frac{6}{5}-7\\\\y=-\frac{29}{5}\)

\(\bullet \ \text{For x = 4,}\)

\(\displaystyle{y=\frac{2}{5}(4)-7}\\\\y = \frac{8}{5}-7\\\\y=-\frac{27}{5}\)

\(\bullet \ \text{For x = 5,}\)

\(\displaystyle{y=\frac{2}{5}(5)-7}\\\\y=2-7\\\\y=-5\)

Now, we can place these values in our table.

\(\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & -7 \\ \cline{1-2} 1 & -33/5 \\ \cline{1-2} 2 & -31/5 \\ \cline{1-2} 3 & -29/5 \\ \cline{1-2} 4 & -27/5 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}\)

As we can see in our table, the rate of decrease is \(-\frac{2}{5}\). In case we need to determine more values, we can easily either replace x with a new value in the equation or just subtract \(-\frac{2}{5}\) from the previous value.

For Equation 2, we need to use the same process. Equation 2 has been resolved to be \(y=-\frac{7}{2}x+\frac{25}{2}\). Therefore, we just use the same process as before to solve for the values.

\(\bullet \ \text{For x = 0,}\)

\(\displaystyle{y=-\frac{7}{2}(0)+\frac{25}{2}}\\\\y = 0 + \frac{25}{2}\\\\y = \frac{25}{2}\)

\(\bullet \ \text{For x = 1,}\)

\(\displaystyle{y=-\frac{7}{2}(1)+\frac{25}{2}}\\\\y = -\frac{7}{2} + \frac{25}{2}\\\\y = 9\)

\(\bullet \ \text{For x = 2,}\)

\(\displaystyle{y=-\frac{7}{2}(2)+\frac{25}{2}}\\\\y = -7+\frac{25}{2}\\\\y = \frac{11}{2}\)

\(\bullet \ \text{For x = 3,}\)

\(\displaystyle{y=-\frac{7}{2}(3)+\frac{25}{2}}\\\\y = -\frac{21}{2}+\frac{25}{2}\\\\y = 2\)

\(\bullet \ \text{For x = 4,}\)

\(\displaystyle{y=-\frac{7}{2}(4)+\frac{25}{2}}\\\\y=-14+\frac{25}{2}\\\\y = -\frac{3}{2}\)

\(\bullet \ \text{For x = 5,}\)

\(\displaystyle{y=-\frac{7}{2}(5)+\frac{25}{2}}\\\\y = -\frac{35}{2}+\frac{25}{2}\\\\y = -5\)

And now, we place these values into the table.

\(\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & 25/2 \\ \cline{1-2} 1 & 9 \\ \cline{1-2} 2 & 11/2 \\ \cline{1-2} 3 & 2 \\ \cline{1-2} 4 & -3/2 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}\)

When we compare our two tables, we can see that we have one similarity - the points are the same at x = 5.

Equation 1                  Equation 2

\(\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & -7 \\ \cline{1-2} 1 & -33/5 \\ \cline{1-2} 2 & -31/5 \\ \cline{1-2} 3 & -29/5 \\ \cline{1-2} 4 & -27/5 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}\)                 \(\begin{array}{|c|c|} \cline{1-2} \textbf{x} & \textbf{y} \\ \cline{1-2} 0 & 25/2 \\ \cline{1-2} 1 & 9 \\ \cline{1-2} 2 & 11/2 \\ \cline{1-2} 3 & 2 \\ \cline{1-2} 4 & -3/2 \\ \cline{1-2} 5 & -5 \\ \cline{1-2} \end{array}\)

Therefore, using this data, we have one solution at (5, -5).

Answer:

The system of linear equations has no solution.

Step-by-step explanation:

We can solve the system of linear equations using substitution or elimination method.

Here's how you can solve it using substitution:

Solve one equation for either x or y.

Substitute the expression you found in step 1 into the other equation.

Solve for the remaining variable.

Use the values you found in steps 3 to find the other variable.

Starting with the first equation:

3y = 6 + x

Solving for x:

x = 3y - 6

Next, we substitute this expression into the second equation:

3x - 9y = 9

Plugging in x = 3y - 6:

3(3y - 6) - 9y = 9

Expanding the left-hand side:

9y - 18 - 9y = 9

Combining like terms:

0y - 18 = 9

Adding 18 to both sides:

0y = 27

Since y cannot equal 0, we have a contradiction and the system has no solution.

So, the system of linear equations has no solution.

Answer:

33%

Step-by-step explanation:

Since the probability of rain on Thursday is 67%, the probability of no rain on Thursday is 100% - 67% = 33%.

Answer:

11.25 seconds

Step-by-step explanation:

first, we need to figure how how far william can run per second

we can find this by 40 ÷ 4.5

= 8.889 per second

so we know that 8.889 • s (seconds) = 100

8.889s = 100                 divide both sides by 8.889

s = 11.25 seconds

Answer:

William will take 11.25 seconds to run 100 yards

Step-by-step explanation:

Constant Rate

William runs 40 yards in 4.5 seconds. The rate of change of the distance is

\(\frac{40}{4.5}\)

To run 100 yards, we divide by the rate obtained above:

\(\displaytstyle \frac{100}{\frac{40}{4.5}} =100*\frac{4.5}{40} =11.25\)

William will take 11.25 seconds to run 100 yards

Answer:

y=5x+7

or

f(x)=5x+7

Step-by-step explanation:

Slope (m) = 5

Y-intercept (b) = 7

Using the equation y=mx+b, you can find m and b to make y=5x+7.

Steps:

(1, 12) (2, 17)                          formula: y2-y1 / x2-x1 = m

17-12= 5

 2-1 = 1

5/1=5

m=5

12=5(1)+b

12=5+b

7=b

17=5(2)+b

17=10+b

7=b

Answer: y=5x+7

or

f(x)=5x+7

The domain and the range are

From the question, we have the following parameters that can be used in our computation:

Domain of f(x) = [-3, 5]

Range = [-2, 1]

The function r(x) is given as

r(x) = -f(3(x + 2))

So, the domain is

Domain = [3(-3 + 2),  3(5 + 2)]

Domain = [-3,  21]

The range is

Range = [--2, -1]

Range = [2, -1]

The function s(x) is given as

s(x) = 3 * f(-(x + 3)) - 2

So, the domain is

Domain = [-(-3 + 3),  -(5 + 3)]

Domain = [-6,  -8]

The range is

Range = [3 * -2 - 2, 3 * 5 - 2]

Range = [-8, 13]

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It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.

V7 * V2 = V(7 * 2) = V14

Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.

This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.

In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.

It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.

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A function is a relation that gives one input for every one output thus the value of g(10) is -31.

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

As per the given function,

g(x) = -3x - 1

The value of the function at x = 10

g(10) = -3(10) - 1

g(10) = -30 - 1 = -31

Hence "A function is a relation that gives one input for every one output thus the value of g(10) is -31".

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Approximately 456.3 feet of fence to surround the entire circular yard.

Now, For the amount of fencing needed to surround a circular yard, we have to calculate the circumference of the circle, which is the distance around the circle.

Since, The circumference of a circle is,

⇒ C = πd,

where, C is circumference, d is diameter,

Here, the diameter of the circular yard is 145 feet,

So the radius is half of that,

r = 145/2 = 72.5 feet.

So, Using the formula, we can calculate the circumference as:

C = πd

C = 3.14 x 145

C = 456.3 feet

Therefore, Approximately 456.3 feet of fence to surround the entire circular yard.

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Answer:

A

Step-by-step explanation:

=(2(3x+4)(x−1))(x+−3)

=(2(3x+4)(x−1))(x)+(2(3x+4)(x−1))(−3)

=6x3+2x2−8x−18x2−6x+24

=6x3−16x2−14x+24

After solving the given expression, the equivalent expression will be equal to 6x³ - 16x² - 14x + 24.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given expression in the question,

2(3x+4) (x−1) (x−3)

(6x + 8) (x² -3x - x + 3)

6x³ - 18x² - 6x² + 18x + 8x² - 24x - 8x + 24

Now, collect similar terms and add them,

6x³ - 16x² - 14x + 24

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Answer:

the answer is 12 i got it right\(tell me if it is right\)

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

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

There are two triangular faces with base of 16 cm and height of 15 cm and three rectangular faces.

Find the sum of areas of all five faces:

16m2 – 24mn + 9n2

((16 • (m2)) - 24mn) + 32n2

(24m2 - 24mn) + 32n2

= (4m - 3n)2