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3 years ago

11

Grissom draws different sized spheres in a notebook. He knows there is a relationship between the volume of the sphere and the l

ength of its diameter. What is the independent quantity in the situation?

1 answer:

grigory [225]3 years ago

4 0

Answer:

The independent quantity in the situation is the length of the diameter.

Step-by-step explanation:

Consider a relationship between two variables.

Of the two variables one variable is dependent upon the other.

Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variable values are changed.

Independent variables are the variables that are being altered to see a proportionate change in the dependent variable.

In this case, it is provided that Grissom knows there is a relationship between the volume of the sphere and the length of its diameter.

With every sphere that Grissom draws, the volume of the sphere changes according to its diameter length.

That is the volume of the sphere depends upon the length of its diameter.

Thus, the independent quantity in the situation is the length of the diameter.

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You deposit $2000 into an account that pays 6% compounded monthly. a. How much money will you have in the account after 1 year?

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We have a deposit of $2000 into an account that pays 6% compounded monthly, after a year we will have:

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The effective annual yield (EAY) will be:

$\text{EAY}=\frac{account_{year}}{2000}-1=\frac{4024.14}{2000}-1=1.0122$

The EAY is 101.22%

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1 year ago

Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 630 miles on 15 gallons

Ne4ueva [31]

Answer:

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Step-by-step explanation:

<u>Step 1-</u> Find the miles the car can travel per gallon

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3 years ago

Write an equation of the line shown. Then use the equation to find the value of x when y=112

PtichkaEL [24]

Answer:

$y = 8x + 16$

$x = 12$

Step-by-step explanation:

Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format $y = mx + b$ .

Where,

$m = slope = \frac{y_2 - y_1}{x_2 - x_1}$

b = y-intercept or the point at which the line cuts the y-axis.

Let's find slope (m) using the slope formula:

Let,

$(0, 16) = (x_1, y_1)$

$(3, 40) = (x_2, y_2)$

$slope (m) = \frac{40 - 16}{3 - 0}$

$slope (m) = \frac{24}{3}$

$slope (m) = 8$

Find b. Substitute the values of x = 0, y = 16, and m = 8 in the slope-intercept formula to find b.

$y = mx + b$

$16 = 8(0) + b$

$16 = 0 + b$

$16 = b$

$b = 16$

Plug in the values of m and b into the slope-intercept formula to get the equation of the line.

$y = mx + b$

$y = 8x + 16$

Let's use the equation to find x when y = 112.

$y = 8x + 16$

Substitute y = 112 in the equation

$112 = 8x + 16$

$112 - 16 = 8x$

$96 = 8x$

Divide both sides by 8

$12 = x$

$x = 12$

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3 years ago

The owner of two hotels is ordering towels. He bought 38 hand towels and 31 bath towels for his hotel in Arcadia, spending a tot

ololo11 [35]

Answer:

Cost of the hand towels is $2 and cost of the bath towels is $7 .

Step-by-step explanation:

Let us assume that the cost of hand towels be x .

Let us assume that the cost of bath towels be y .

As given

The owner of two hotels is ordering towels.

He bought 38 hand towels and 31 bath towels for his hotel in Arcadia, spending a total of $293.

Than the equation becomes

38x + 31y = 293

As given

He also ordered 45 hand towels and 71 bath towels for his hotel in Middletown, spending $587.

Than the equation becomes

45x + 71y =587

Multiply the equation 45x + 71y =587 by 31 .

45x × 31 + 71y × 31 = 587 × 31

1395x + 2201y = 18197

Multiply 38x + 31y = 293 by 71.

71 × 38x + 71 × 31y = 293 × 71

2698x + 2201y = 20803

Thus two equations are

1395x + 2201y = 18197

2698x + 2201y = 20803

Subtracting 1395x + 2201y = 18197 form 2698x + 2201y = 20803 .

2698x - 1395x + 2201y - 2201y = 20803 - 18197

1303x = 2606

$x = \frac{2606}{1303}$

x =$ 2

Putting this x = 2 in the equations

1395 × 2 + 2201y = 18197

2790 + 2201y = 18197

2201y = 15407

$y = \frac{15407}{2201}$

y = $7

Therefore the cost of the hand towels is $2 and cost of the bath towels is $7 .

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timofeeve [1]

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So just follow my steps
1. Find the mean
2. Find the difference from the mean of each number
3. Find the mean of step 2
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3 years ago