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lara31 [8.8K]
3 years ago
15

12. Based on the pattern below, what would you expect the next block to look like? O

Mathematics
1 answer:
TiliK225 [7]3 years ago
8 0

Answer:

Choice 3

Step-by-step explanation:

The block is rotating counterclockwise 90º each time. If you visualize the cube you can think of the triangle rotating and the circle being on the face adjacent to the triangle's base.

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Find the area of the region under the graph of f on [a, b].<br> f(x) = x2 − 8x + 17; [−1, 2]
Harman [31]

Answer:

The area is 42 area units.

Step-by-step explanation:

The area of a function f(x) on an interval [a,b] is given by:

A = \int\limits^a_b {f(x)} \, dx

Applying to this question:

A = \int\limits^-1_2 {x^2 - 8x + 17} \, dx

Then

F(x) = \frac{x^{3}}{3} - 4x^{2} + 17x

A = F(2) - F(-1)

F(2) = frac{2^{3}}{3} - 4*2^{2} + 17*2 = \frac{8}{3} + 18 = \frac{8 + 3*18}{3} = \frac{62}[3}

F(-1) = frac{(-1)^{3}}{3} - 4*(-1)^{2} + 17*(-1) = -\frac{1}{3} - 21 = \frac{-1 - 21*3}{3} = -\frac{64}[3}

A = F(2) - F(-1) = \frac{62}[3} - (-\frac{64}[3}) = \frac{62+64}{3} = 42

The area is 42 area units.

5 0
3 years ago
Peter walks 40 meters in 1 minute what is his walking rate in meters per second
Softa [21]
Incorrect, I apologize.
4 0
3 years ago
Which side lengths form a right triangle chose all that apply
KengaRu [80]

Answer:

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Step-by-step explanation:

only b is true

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charle [14.2K]
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Explanation:
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First, Add the 1-8 so it’s now n-11 =3n -9
Next, collect like terms so now it’s is -2n=-9+11
Lastly, divide both sides by -2 which will leave you with n=-1
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Find the value of x in each case.
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