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charle [14.2K]
2 years ago
6

If f(x) = 3x5 - 2x3 + 1, then f(-1) = ?

Mathematics
1 answer:
dmitriy555 [2]2 years ago
6 0
f(x) = 3x5 - 2x3 + 1
put x = -1
f(-1) = 3(-1)^5 - 2(-1)³+1
f(-1) = -3+2+1 =0
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A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350
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Answer:

378.5 or just 378

Step-by-step explanation:

This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by.  When x = 0, y = 350 so that's the y-intercept of our equation.)

The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.

Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.

If we want y when x = 19, plug 19 in for x and solve for y:

y = 1.5(19) + 350

y = 378.5

Since we can't have .5 of a butterfly we will round down to 378

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How fast should the ant walk to go around the rectangle in 4 minutes if the sides are 12 inches and 16 inches
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14 inches per minute.
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A rectangular solid with a square base has a volume of 5832 cubic inches. (Let x represent the length of the sides of the square
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Answer:

a) 18 in x 18 in x 18 in

b) S = 1944\ in2

Step-by-step explanation:

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The surface area is given by the equation:

S = 2s^2 + 4sh

The volume of the solid is given by the equation:

V = s^2h = 5832

From the volume equation, we have that:

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Then, using this value of h in the surface area equation, we have:

S = 2s^2 + 4s(5832/s^2)

S = 2s^2 + 23328/s

To find the side length that gives the minimum surface area, we can find where the derivative of S in relation to s is zero:

dS/ds = 4s - 23328/s^2 = 0

4s = 23328/s^2

4s^3 = 23328

s^3 = 23328/4 = 5832

s = 18\ inches

The height of the solid is:

h = 5832/(18)^2 = 18\ inches

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S = 2(18)^2 + 4(18)(18)

S = 1944\ in2

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A group of customer service surveys were sent out at random. The scores were 90, 50, 70, 80, 70, 60, 20, 30, 80, 90, and 20. Fin
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Answer:

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