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3 years ago

13

The expression -5p + 20 factored is factor out the coefficient of the variable

1 answer:

krek1111 [17]3 years ago

6 0

Answer: -5(p-4)

Step-by-step explanation: The coefficient of a variable is the number multiplying it. To factor it, take the coefficient out and put it outside the parantheses. However, if you do that, make sure you take that coefficient out of all of your other terms!

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paul has a paperweight shaped like a square pyramid shown what is the total area in square centermeters

DedPeter [7]

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3 years ago

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The angle of elevation from a ball on a football field to the top of a 30-foot y'all goal post is 16 degrees 42'. How far is the

timama [110]

Answer:

100.0 feet

Step-by-step explanation:

For an acute angle in a right triangle, the cotangent function is the ratio of the adjacent side to the opposite side:

cot(16°42') = (distance to goal)/(30 ft)

Multiplying by the denominator, we have ...

(distance to goal) = (30 ft)cot(16°42') = (30 ft)(3.33317) ≈ 100.0 ft

The football is 100.0 feet from the base of the goal.

_____

cot(16°42') = tan(73.3°)

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3 years ago

10) There are 144 seats for a concert at your school Twenty-eight of those seats will be taken up by the teachers. If each band

Korvikt [17]

Each band member would get 4 tickets.
144-28=116
116/29=4

8 0

3 years ago

The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

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3 years ago

Whats the capacity of a water bottle thats 8 inches

suter [353]

1 pt; or 1 pint seems most reasonable here.

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3 years ago