The cylinder shown here has a height of 7 cm and a radius of 4 cm

How many cubic centimeters of fluid can fill this cylinder?

Answer:

g(x)=1/2x+2

Step-by-step explanation:

the coordinates provided here are (2,3) and (6,5)
slope intercept form is g(x)=mx+b

m is slope and b is y intercept

We use slope formula to find slope y2-y1/x2-x1

5-3/6-2

2/4

1/2

Now we can find b by putting the values in

g(x)=1/2x+b

5=1/2(6)+b

5=3+b

-3 -3

2=b

g(x)=1/2x+2

Hopes this helps please mark brainliest

Answer: You must start with the parentheses first because you have to leave the x by itself.

Step-by-step explanation:

That means it would be turned into 3(-5x) =6.

Answer: 7313

Step-by-step explanation:

Answer:

irrational

Step-by-step explanation:

9/11 is a decimal that gets repeated so it is irrational

Answer:

11

Step-by-step explanation:

Answer:

A B and C

Step-by-step explanation:

it's a simple question

Answer:

D,xy=-12

Step-by-step explanation:

y=x²+x-2

x+y=1

or x+x²+x-2=1

x²+2x-3=0

x²+3x-x-3=0

x(x+3)-1(x+3)=0

(x+3)(x-1)=0

either x=-3

or x=1

when x=-3

x+y=1

-3+y=1

y=1+3=4

one solution is (-3,4)

xy=-3×4=-12

if x=1

1+y=1

y=0

second solution is (1,0)

xy=1×0=0

umm whichever grade this is I don't know

Answer:

I believe the answer is 24.

Step-by-step explanation:

hope it helps.

The standard deviations calculated from larger sample sizes should exhibit less variability and more consistency relative to the overall standard deviation for all 126 people in the population.

As the sample size increased from 21 to the entire population of 126 people, the standard deviations may have undergone changes in a systematic manner. The standard deviation measures the dispersion or spread of data points around the mean. When the sample size is small, the standard deviation tends to be less reliable and can fluctuate more due to the limited amount of data.

As the sample size increased from 21 to 126, the standard deviations would likely become more stable and accurate estimates of the population's true standard deviation. With a larger sample size, there is more data available, providing a more comprehensive representation of the population. As a result, the estimates of the standard deviation become more reliable, and the fluctuations that may have occurred with smaller samples tend to diminish.

In general, as the sample size approaches the size of the whole population, the standard deviation calculated from the sample tends to converge towards the overall standard deviation of the entire population. This convergence occurs because, with a large enough sample size, the sample becomes a more accurate reflection of the population's characteristics.

Therefore, the standard deviations calculated from larger sample sizes should exhibit less variability and more consistency relative to the overall standard deviation for all 126 people in the population.

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Answer:

x=42

Step-by-step explanation:

The tens digit of a two-digit number is twice the units digits. put it in an equation:

10(2x)+x = 10x+2x+18

21x=12x+18

21x-12x=18

x=18/9=2

substitute x:

10(2x)+x = 10x+2x+18

10(2*2)+2=10(2)+2(2)+18

42=24+18

Step-by-step explanation:

The square root of 0.0144 is 0.12.

To find the square root of 0.0144, we can use a calculator or estimate it manually. One way to estimate the square root of 0.0144 is to recognize that it is very close to 0.01, which has a square root of 0.1. Since 0.0144 is slightly larger than 0.01, we can expect its square root to be slightly larger than 0.1.

To get a more precise answer, we can use a calculator or long division. Here's one way to do it:

- Write 0.0144 as a fraction: 0.0144 = 144/10000

- Take the square root of the numerator and denominator separately: sqrt(144)/sqrt(10000)

- Simplify the square roots: 12/100

- Reduce the fraction: 3/25

Therefore, the square root of 0.0144 is 0.12 or 3/25.

The median of a sample will always equal the 50th percentile.

The median is the value in the middle of a data set, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median. The statistical median is the number in the middle of a series of numbers. To find the median, sort each number by size; the number in the middle is the median. The median is the value in the middle of a set of data. First, organize and sort the data in ascending order from smallest to largest. Divide the number of observations by two to find the midpoint value. If there are an odd number of observations, round that number up to the nearest whole number, and the value in that position is the median.

Here,

A sample's median will always equal the 50th percentile.

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The equation of the line would be y = (-3/4)x + 5.

What is the slope-point form of the line?

For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be

                      y - y1 = m(x - x1)

The given equation is \(y=-\frac{3}{4}x-17\)

The required line is parallel to the given line.

and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4

And the required line passes through (8, -1)

so by using slope - point form of the line,

      y - (-1) = (-3/4)(x - 8)

      y + 1 = (-3/4)x - (-3/4)8

       y + 1 = (-3/4)x + 24/4

       y = (-3/4)x + (12/2 - 1)

       y = (-3/4)x + 5

Hence, the equation of the line would be y = (-3/4)x + 5.

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Answer:

5.5,5.5081, 5.58, 7.428

Step-by-step explanation:

to look from least to greatest just look at each place value and see which one is slower and any that you can’t see is zero

Hopes this helps please mark brainliest

\( \bf\bigg( - 3 \frac{1}{4} d + \frac{3}{5} \bigg) - \bigg(2 \frac{7}{8} d + \frac{7}{10} \bigg)\)

\( \bf \longrightarrow \boxed{ - \frac{49}{8}d - \frac{1}{10} } \: {\underline{\underline{ans}}}\)

\( \bf \longrightarrow \bigg( - 3 \frac{1}{4} d + \frac{3}{5} \bigg) - \bigg(2 \frac{7}{8} d + \frac{7}{10} \bigg)\)

\( \bf \longrightarrow \bigg( - \frac{4 \times 3 + 1}{4} d + \frac{3}{5} \bigg ) - \bigg(\frac{8 \times 2 + 7}{8} d + \frac{7}{10} \bigg)\)

\( \bf \longrightarrow\bigg( \frac{ - 13}{4}d + \frac{3}{5} \bigg) - \bigg( \frac{23}{8}d + \frac{7}{10} \bigg)\)

\( \bf \longrightarrow \frac{ - 13}{4}d + \frac{3}{5} + \frac{ - 23}{8} d + \frac{ - 7}{10} \)

\( \bf \longrightarrow \bigg( \frac{ - 13}{4}d + \frac{ - 23}{8}d \bigg) + \bigg( \frac{3}{5} + \frac{ - 7}{10} \bigg)\)

\( \bf \longrightarrow \bigg( \frac{(2 \times - 13) + (1 \times - 23) }{8}d \bigg) + \bigg( \frac{(2 \times 3) + (1 \times - 7)}{10} \bigg)\)

\( \bf \longrightarrow \bigg( \frac{ (- 26) + ( - 23)}{8}d \bigg) + \bigg( \frac{(6) + ( - 7)}{10} \bigg) \)

\( \bf \longrightarrow\bigg( \frac{ - 26 - 23}{8} d\bigg) + \bigg( \frac{6 - 7}{10} \bigg)\)

\( \bf \longrightarrow\frac{ - 49}{8}d + \frac{ - 1}{10} \)

\( \bf \longrightarrow \boxed{ - \frac{49}{8}d - \frac{1}{10} } \: {\underline{\underline{ans}}}\)

\( \bf\bigg( - 2 \frac{1}{2} n + \frac{1}{4} \bigg) + \bigg(3 \frac{3}{4} n - \frac{5}{8} \bigg)\)

\( \bf \longrightarrow \boxed{\frac{5}{4}n - \frac{3}{8} } \: {\underline{\underline{ans}}}\)

\( \bf\frac{1}{5}(3x + 10) - \frac{11}{15}x\)

\( \bf \longrightarrow \boxed{\frac{-2}{15}x + 2} \: {\underline{\underline{ans}}}\)

\( \bf\longrightarrow\frac{1}{5}(3x + 10) - \frac{11}{15}x\)

\( \bf\longrightarrow\frac{1}{5}(3x) + \frac{1}{5}(10) + \frac{-11}{15}x\)

\( \bf\longrightarrow\frac{3}{5}x + 2 + \frac{-11}{15}x\)

\( \bf\longrightarrow\bigg(\frac{3}{5}x + \frac{-11}{15}x\bigg) + 2\)

\( \bf \longrightarrow \boxed{\frac{-2}{15}x + 2} \: {\underline{\underline{ans}}}\)

Answer:

True

Step-by-step explanation:

With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.

To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.

To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).

We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.

In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).

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Moving on to step 20, you need to take a screenshot issues of the tools menu. This can usually be accessed by clicking on the "Tools" option in the menu bar of the program or application you are using.

To take a  of the tools menu in step 20, you can follow these steps:Open the tools menu in the desired application or software.Press the "Print Screen" (PrtSc) button on your keyboard. This will capture a screenshot of your entire screen.

Open an image editing software or any program that allows you to paste imagesPaste the screenshot by pressing "Ctrl" + "V" on your keyboard.Save the image in your desired format.

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15 benches are needed for 75 students in the boys' school. To determine the number of benches needed for 75 students if 5 students sit in every bench, we can use division. Number of benches = Number of students / Students per bench.

To accommodate 75 students in a boys' school, with 5 students sitting in each bench, we need to divide the total number of students by the number of students that can sit in one bench.

In this case, 75 students divided by 5 students per bench equals 15 benches. Therefore, we need 15 benches to seat all 75 students.

This calculation is an example of division, one of the basic arithmetic operations. Division involves splitting a quantity into equal parts. In this case, we are dividing the total number of students by the number of students that can sit in one bench to find the number of benches needed.

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Complete question:

In a boys' school, if 5 students sit in every bench, how many benches are needed for 75 students?

Answer:

(-38,18)

Step-by-step explanation:

Step: Solvex+3y=16for x:

x+3y+−3y=16+−3y(Add -3y to both sides)

x=−3y+16

Step: Substitute−3y+16forxin2x+5y=14:

2x+5y=14

2(−3y+16)+5y=14

−y+32=14(Simplify both sides of the equation)

−y+32+−32=14+−32(Add -32 to both sides)

−y=−18 Divide both sides by -1

\(\frac{-y}{-1} =\frac{-18}{-1}\)

y=18

Step: Substitute18foryinx=−3y+16:

x=−3y+16

x=(−3)(18)+16

x=−38

The function that takes an input, adds 2, and then multiplies by 3 is a linear function with two operations: addition and multiplication. It can be represented by the equation y = 3(x + 2), where x is the input and y is the output.

To describe the function that adds 2 to the input and then multiplies by 3, we can break it down into two steps. First, we add 2 to the input, which can be represented by (x + 2). This expression ensures that the input is increased by 2.

The next step is to multiply the result by 3. Multiplying the expression (x + 2) by 3 gives us 3(x + 2). This step ensures that the increased input is further multiplied by 3.

Combining the two steps, we have the equation y = 3(x + 2), where y represents the output of the function. This equation indicates that the input (x) is first incremented by 2 and then multiplied by 3 to produce the final output (y).

Therefore, the function that takes an input, adds 2, and then multiplies by 3 can be described by the equation y = 3(x + 2).

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The required number of children and adults for sitting in the theater are 300 and 50 respectively.

A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.

Let be consider number of children be x and that of adults is y.

We have,

x + y = 350-------(1)

y = 350 - x

And 5x + 10y = 2000------------------(2)

Put value of y in equation (2)

5x + 10( 350 - x) = 2000

5x + 3500 - 10x = 2000

-5x = -1500

x = 300

Then

y = 350 - x = 350 - 300 = 50

Thus, There will be 300 children and 50 adults in the  theater .

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Answer:

30

Step-by-step explanation:

Answer:

The answer would be 480

the volume of the apple would increase by ΔVtotal over the five-week period

The volume of the apple is directly proportional to the cube of its radius. Therefore, if the radius increases by 1/8 inch per week for five weeks, the total increase in radius would be 5/8 inches.

To calculate the change in volume, we can use the formula V = (4/3)πr^3.

Initially, let's assume the radius of the apple is r.

After the first week, the radius would be r + 1/8 inches. Therefore, the new volume would be:
\(V_1 = (4/3)\pi(r + 1/8)^3\)

To calculate the change in volume, we can subtract the initial volume from the new volume:

\(\DeltaV_1 = V_1 - V_0\)

where V0 is the initial volume of the apple.

Similarly, after the second week, the radius would be r + 2/8 inches, and the new volume would be:

\(V2 = (4/3)\pi(r + 2/8)^3\)

The change in volume after the second week would be:

ΔV2 = V2 - V1

We can repeat this process for the remaining three weeks and find the total change in volume by adding all the individual changes:

ΔVtotal = ΔV1 + ΔV2 + ΔV3 + ΔV4 + ΔV5

By simplifying this equation, we get:

\(\Delta V_{total }=  (4/3) \pi r^3[(r + 1/8)^3 + (r + 2/8)^3 + (r + 3/8)^3 + (r + 4/8)^3 + (r + 5/8)^3 - 5r^3]\)

Therefore, the volume of the apple would increase by ΔVtotal over the five-week period.

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The volume of the apple will increase by \((4/3)π[(r0 + 5/8)^3 - r0^3]\) during the five-week period.

Assuming that the apple is a perfect sphere, we can use the formula for the volume of a sphere:

\(V = (4/3)πr^3\)

where V is the volume of the sphere and r is the radius of the sphere.

Let's start by finding the initial volume of the apple. We are not given the initial radius, so let's assume it to be r0.

\(V0 = (4/3)πr0^3\)

After one week, the radius increases by 1/8 inch, so the new radius is r1 = r0 + 1/8. The new volume is:

\(V1 = (4/3)π(r0 + 1/8)^3\)

After two weeks, the radius increases by another 1/8 inch, so the new radius is r2 = r0 + 2/8. The new volume is:

\(V2 = (4/3)π(r0 + 2/8)^3\)

Similarly, after three weeks, the new radius is r3 = r0 + 3/8 and the new volume is:

\(V3 = (4/3)π(r0 + 3/8)^3\)

After four weeks, the new radius is r4 = r0 + 4/8 and the new volume is:

\(V4 = (4/3)π(r0 + 4/8)^3\)

Finally, after five weeks, the new radius is r5 = r0 + 5/8 and the new volume is:

\(V5 = (4/3)π(r0 + 5/8)^3\)

To find how the volume changes during the five-week period, we need to subtract the initial volume from the final volume:

ΔV = V5 - V0

\(ΔV = (4/3)π(r0 + 5/8)^3 - (4/3)πr0^3\)

Simplifying this expression, we get:

\(ΔV = (4/3)π[(r0 + 5/8)^3 - r0^3]\)

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Answer:

7/2

Step-by-step explanation:

Calculate the product: 15/2 - 4

Solve: 7/2