Please simplify ∛(16x4)

Answers

Answer 1
Answer: ∛(16x4) = ∛(64) = 4, because 4^3 = 4 x 4 x 4 = 64. Final Answer: ∛(16x4) = 4

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Each diagram shows a cube intersected by a plane. In which case is the cross section a square?
What is the y-value of the solution to the system of equations? 3x + 5y = 1 7x + 4y = −13
The function h(t)=16t^2+144 represents the height , h(t) , in feet , of an object from the ground at t seconds after it is dropped . a realistic domain for this function is 1) -3 2) 0 3)0>h(t)<144 4) all real numbers

Suppose f(x) = abx is an exponential GROWTH function. Which function, then, represents exponential DECAY?A) f(x) = abx
B) f(x) = abx - 4
C) f(x) = a(b-1)x
D) f(x) = a( 1 b )x

Answers

Answer: The answer is (D) f(x)=a^((1-b)x).

Step-by-step explanation: We are given four exponential functions, out of which we are to select the one that represents exponential decay.

Given that the following function is an exponential growth function.

f(x)=a^(bx).

We take the values of a and b as 2 and 3 respectively so that the given function represents exponential growth.

We have drawn the graphs of all the four exponential functions taking these values of 'a' and 'b' in the attached figure.

We will see the the graph of the fourth function will show an exponential decay.

and the rest three will show exponential growth.

Thus, (D) is the correct option.

the correct function is D

The temperature on Wednesday was 8° more than a third of Tuesday’s temperature. If T represents Tuesday’s temperature, write an expression for Wednesday’s temperature, W.

Answers

I love these problems -- you don't have to do math -- it's all just reading and using logic! So we're saying T represents Tuesday. 8 more than can be expressed as what?  +8. A third can be expressed as what? 1/3. What are we splitting into thirds? T. Therefore, 1/3t+8 is your answer.

Answer:

what is it

Step-by-step explanation:

What is the inverse of the function f(x) = 2x – 10? A. h(x) = 2x - 5B. h(x) = 2x + 5 C. h(x) = 1/2x - 5 D. h(x) = 1/2x - 10

Answers

Answer:

f^-1(x)=1/2x+5

Step-by-step explanation:

y=2x-10

inteechange 'y' with 'x'

x=2y-10

make 'y' the subject

2y=x+10

divide by 2both sides

y=(x+10)÷2

y=1/2x+5

f^-1(x)=1/2x+5

Which is bigger 4/7 or 3/5

Answers

3/5 is bigger because 4/7 = 20/35 and 3/5 = 21/35
3/5 is bigger because if you cross multiply 4/7 with 3/5 3/5 gets 21 and 4/7 gets 20

Write an equation or inequality that models the situation below: April started a workout program at a local health club. She began with a 45 minute workout and has increased her time by 5 minutes per week. How many weeks should she increase her time, if she wants her work out to be no more than one hour?

Answers

Answer:

45+5x \leq60

Step-by-step explanation:

A 36 inch by 48 inch poster is reduced to an image that is 3 in by 4 inch in size. What is the scale factor?A: 1/3
B: 1/6
C: 1/9
D: 1/12

Answers

The correct answer for the question that is being presented above is this one: "D: 1/12."
The original dimension is 36 x 48.
The scaled dimension is 3 x 4.

The ration between 3 and 36 ;  4 and 48 is reduced to 1/12.
So the scale factor is 1/12.