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3 years ago

5

Your class built a tepee to use in the school play. The tepee has a diameter of 16 feet and a height of 13.5 feet. What is the v

olume? Use 3.14 for pi. Round your answer to the nearest whole number. please help thank you:)

1 answer:

Art [367]3 years ago

5 0

Volume = PI x r^2 x H/3

3.14 x 8^2 x 13.5/3

3.14 x 64 x 4.5 = 904.32 cubic feet

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zhuklara [117]

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3 years ago

Write an equation of a parabola that passes through (3,-30) and has x-intercepts of -2 and 18. Then find the average rate of cha

Nookie1986 [14]

Answer:

The equation of the parabola is $y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}$ . The average rate of change of the parabola is -4.

Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ - Coefficients, dimensionless.

If we know that $(3, -30)$ , $(-2, 0)$ and $(18, 0)$ are part of the parabola, the following linear system of equations is formed:

$9\cdot a +3\cdot b + c = -30$

$4\cdot a -2\cdot b +c = 0$

$324\cdot a +18\cdot b + c = 0$

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

$a = \frac{2}{5}$ , $b = -\frac{32}{5}$ , $c = -\frac{72}{5}$ .

The equation of the parabola is $y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}$ .

Now, we calculate the average rate of change ( $r$ ), dimensionless, between $x = -2$ and $x = 8$ by using the formula of secant line slope:

$r = \frac{y(8)-y(-2)}{8-(-2)}$

$r = \frac{y(8)-y(-2)}{10}$

$x = -2$

$y = \frac{2}{5}\cdot (-2)^{2}-\frac{32}{5}\cdot (-2)-\frac{72}{5}$

$y(-2) = 0$

$x = 8$

$y = \frac{2}{5}\cdot (8)^{2}-\frac{32}{5}\cdot (8)-\frac{72}{5}$

$y(8) = -40$

$r = \frac{-40-0}{10}$

$r = -4$

The average rate of change of the parabola is -4.

3 0

3 years ago

Pls help ASAPI don’t understand can you show steps too pls

tensa zangetsu [6.8K]

Answer:

x = -2 , y = -1

(-2,-1)

4 0

3 years ago

two crates contain Apple's, pears and oranges. there are 184 apples and pears in crate one and 248 apples and oranges in the sec

netineya [11]

$184 + 248 \div 3 =$

6 0

3 years ago

I forgot how to do most of this yet they gave it to me as hw ‍♀️

svp [43]

18.

-2(-9)+3

18+3

21

Explanation: -2(-9) When multiplying numbers that have both a negative sign, the answer is positive. Multiply normally.

19.

-6(-4)0

24(0)

0

Explanation: -6(-4) As I explained before, the answer would be positive.

24(0) Every number multiplied by 0 is 0.

20.

56+(-7)

49

Explanation: 56+(-7) Any problem like this is just basically going to be 56-7.

21.

-36+(-4)

-40

Explanation: -36+(-4) You are simply adding normally then adding the sign. This will only work if the signs are the same. (Signs are positive and negative.)

8 0

3 years ago

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