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Orlov [11]
3 years ago
14

Geometry math question no Guessing Please help

Mathematics
1 answer:
STALIN [3.7K]3 years ago
6 0

Starting from the parent function f(x) = x^2, the first function is

f(x-2) + 5

So, it's translated two units right and five units up.

The second function is

f(x+2) - 3

So, it's translated two units left and three units down.

This means that, horizontally, you go from two units right to two units left, so you must go 4 units to the left globally.

x-coordinate: -4

Vertically, you go from five units up to three units down, so you must go 8 units down globally.

y-coordinate: -8

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The side of the base of a square prism is decreasing at a rate of 7 kilometers per minute and the height of the prism is increas
Ber [7]

Answer:

dV = - 5.73*10⁹ m³/s

Step-by-step explanation:

Question: What is the rate of change of the volume of the prism at that instant (in cubic meters per second) ?

A function can be dependent on one or more variables. The change in the function due to a change in one o its variables is given by the functions derivative with respect to that variable. For functions that are composed of products of its variables, we may use the product rule to determine its derivative.

The volume of a square prism with base a and height h is given by

V = a²h

When the base and height are changing, we have

dV = 2ah(da/dt) +  a²(dh/dt)

Given

a = 4 Km

h = 9 Km

da/dt = - 7 Km/min

dh/dt = 10 Km/min

we have

dV = 2(4 Km)(9 Km)(- 7 Km/min) +  (4 Km)²(10 Km/min)

⇒   dV = - 504 Km³/min + 160 Km³/min = - 344 Km³/min

⇒   dV = - 5.73*10⁹ m³/s

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3 years ago
X + 2 = 3<br> What’s the answer
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Answer: x=1

Step-by-step explanation:

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After releasing of radioactive material into.The atnosphere from.A nuclear.Powe plant in a country in 1988, the hay in that coun
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Answer:

the question is incomplete, so I looked for a similar one:

<em>After the release of radioactive material into the atmosphere  from a nuclear power plant, the hay was contaminated by iodine  131 ( half-life, 8 days). If it is all right to feed the hay to cows  when 10% of the iodine 131 remains, how long did the farmers  need to wait to use this hay? </em>

iodine's half life (we are given x, we need to find b):

0.5A₀ = A₀eᵇˣ

x = 8 days

we eliminate A₀ from both sides

0.5 = eᵇ⁸

ln 0.5 = ln eᵇ⁸

-0.69315 = b8

b = -0.69315 / 8 = -0.08664

since the farmers need to wait until only 10% of the iodine remains (we already calculated b, now we need to find x):

0.1A₀ = A₀eᵇˣ

0.1 = eᵇˣ

ln 0.1 = bx

where b = -0.08664

x = ln 0.1 / -0.08664  = -2.302585 / -0.08664  = 26.58 days

4 0
2 years ago
to convert feet per minute to inches per second which of the following conversion factors would be used select all that apply
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The sum of angles is equal to 180 so they are called supplementary angles
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