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1 year ago

13

The equation below represents the total price of Michigan State University per

1 answer:

castortr0y [4]1 year ago

8 0

Answer:

See below ~

Step-by-step explanation:

<h3>What number represents the slope?</h3>

The slope refers to the rate of change of the equation.

Here, the slope is 1473 as that is the value that is multiplied on increasing the number of classes.

It represents the price per class.

<h3>What number represents the y-intercept?</h3>

The y-intercept refers to where the line intersects the y-axis.

Here, the y-intercept is 5495.

It represents the one time fee for room and board.

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Find the area of the region that lies inside the first curve and outside the second curve. r = 6 − 6 sin θ, r = 6

yan [13]

Each curve completes one loop over the interval $0\le t\le2\pi$ . Find the intersections of the curves within this interval.

$6-6\sin\theta=6\implies 1-\sin\theta=1\implies \sin\theta=0\implies \theta=0,\theta=\pi$

The region of interest has an area given by the double integral

$\displaystyle\int_\pi^{2\pi}\int_6^{6-6\sin\theta}r\,\mathrm dr\,\mathrm d\theta$

equivalent to the single integral

$\displaystyle\frac12\int_\pi^{2\pi}\bigg((6-6\sin\theta)^2-6^2\bigg)\,\mathrm d\theta$

which evaluates to $9\pi+72$ .

8 0

2 years ago

A family is planning a three-week vacation for which they will drive across the country. They have a van that gets 12 miles per

svetoff [14.1K]

Answer:

The family will pay 34722 cents more if they take the van

Step-by-step explanation:

Given

Van = 12 miles per gallon

Sedan = 36 miles per gallon

Distance = 2500 miles

Gas = $2.50 per gallon

First, we need to determine the number of gallons that'll be used by both vehicles

This is done by dividing total distance by number of miles per gallon

$Van = \frac{2500}{12} \ gallon$

$Sedan = \frac{2500}{36}\ gallon$

Next, is to multiply this by the cost of gas per gallon;

This gives the total spendable amount on both vehicles

$Van = \frac{2500}{12} * \$2.50$

$Van = \frac{\$6250}{12}$

$Van = \$520.833$

$Sedan = \frac{2500}{36}* \$2.50$

$Sedan = \frac{\$6250}{36}$

$Sedan = \$173.611$

Next is to get the difference between these amounts

$Difference = \$520.833 - \$173.611$

$Difference = \$347.222$

Multiply by 100 to convert to cents

$Difference = 347.222 * 100 cents$

$Difference = 34722.2 \ cents$

$Difference = 34722\ cents$ (Approximated)

Hence;

<em>The family will pay 34722 cents more if they take the van</em>

8 0

2 years ago

What is the domain and range? Is the relation a function? Explain why or why not. {(2, 0), (5.0), (0.5), (0, 2)}

agasfer [191]

Answer:

Domain: {0, 2, 5}

Range: {0, 2, 5}

The relation is not a function since the 0 appears more than once as an x-coordinate.

Step-by-step explanation:

The domain is the set of the x-coordinates.

The range is the set of the y-coordinates.

If any value appears more than once as an x-coordinate, it is not a function.

Domain: {0, 2, 5}

Range: {0, 2, 5}

The relation is not a function since the 0 appears more than once as an x-coordinate.

8 0

2 years ago

HURRYYYYY UPPPP

Reika [66]

Kenneth wrote per page is 4

8 0

2 years ago

Point L is on line segment KM. Given LM = 3x + 3,

iris [78.8K]

Answer:

KM = 4

Step-by-step explanation:

$LM = 3x + 3$

$KM = 5x + 4$

$KL = 5x + 1$

$KL + LM = KM$ (segment addition postulate)

$(5x + 1) + (3x + 3) = 5x + 4$ (substitution)

Solve for x

$5x + 1 + 3x + 3 = 5x + 4$

Combine like terms

$8x + 4 = 5x + 4$

$8x + 4 - 4 = 5x + 4 - 4$

$8x = 5x + 0$

$8x - 5x = 0$

$3x = 0$

$x = 0$

$KM = 5x + 4$

Plug in the value of x

$KM = 5(0) + 4$

$KM = 0 + 4 = 4$

7 0

2 years ago