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Pani-rosa [81]
3 years ago
9

Write and solve the following expression:The sum of 7 and twice a number is 15

Mathematics
1 answer:
Nastasia [14]3 years ago
8 0

Answer:

It would be 7 + 2x = 15

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Water pours into a tank at the rate of 2000 cm3/min. The tank is cylindrical with radius 2 meters. How fast is the height of wat
Gennadij [26K]

Volume of water in the tank:

V=\pi (2\,\mathrm m)^2h=\pi(200\,\mathrm{cm})^2h

Differentiate both sides with respect to time <em>t</em> :

\dfrac{\mathrm dV}{\mathrm dt}=\pi(200\,\mathrm{cm})^2\dfrac{\mathrm dh}{\mathrm dt}

<em>V</em> changes at a rate of 2000 cc/min (cubic cm per minute); use this to solve for d<em>h</em>/d<em>t</em> :

2000\dfrac{\mathrm{cm}^3}{\rm min}=\pi(40,000\,\mathrm{cm}^2)\dfrac{\mathrm dh}{\mathrm dt}

\dfrac{\mathrm dh}{\mathrm dt}=\dfrac{2000}{40,000\pi}\dfrac{\rm cm}{\rm min}=\dfrac1{20\pi}\dfrac{\rm cm}{\rm min}

(The question asks how the height changes at the exact moment the height is 50 cm, but this info is a red herring because the rate of change is constant.)

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3 years ago
A triangle with sides of lengths 16, 63, and 65 is a right triangle.
malfutka [58]
False I think it doesn't add up to 18
3 0
3 years ago
The vertex of the function y= 32x-4x^2
mafiozo [28]

I'm very sure the answer would be (4, 64)

7 0
3 years ago
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The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and
Ilya [14]

Answer: 55-1/2w=p

Step-by-step explanation: 55 is the starting weight. Therefore, you need to subtract  55 by 1/2 (the amount of weight he loses each week) times each week. This will determines the weight- (p).

6 0
3 years ago
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Given the function h(a) = -x^2+ 7x + 14, determine the average rate of change
Yakvenalex [24]

Answer:

- 2

Step-by-step explanation:

The average rate of change of h(x) in the closed interval [a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [a, b ] = [1, 8 ], thus

f(b) = f(8) = - 8² + 7(8) + 14 = - 64 + 56 + 14 = 6

f(a) = f(1) = - 1² + 7(1) + 14 = - 1 + 7 + 14 = 20

average rate of change = \frac{6-20}{8-1} = \frac{-14}{7} = - 2

6 0
3 years ago
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