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Paul [167]
3 years ago
12

When one power is exponentiated by an exponent, what is done with the exponents?

Mathematics
1 answer:
Mama L [17]3 years ago
3 0
I’m pretty sure they are multiplied, if I understand your wording
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Let A(t) be the area of a circle with radius r(t), at time t in min. Suppose the radius is changing at the rate of drdt=6 ft/min
mylen [45]

Answer:

The rate of change is 108\pi ft^(2)/min

Step-by-step explanation:

The area of a circle is given by the following equation:

A(t) = \pi r^{2}

To solve this question, we have to realize the implicit differentiation in function of t. We have two variables, A and r. So

\frac{dA(t)}{dt} = 2\pi r \frac{dr}{dt}

We have that:

\frac{dr}{dt} = 6, r = 9.

We want to find \frac{dA}{dt}

So

\frac{dA(t)}{dt} = 2\pi*9*6

\frac{dA}{dt} = 108\pi

Since the area is in square feet, the rate of change is in ft^(2)/min.

So the rate of change is 108\pi ft^(2)/min

5 0
3 years ago
What operation should be used to solve the equation 153=g+45
Advocard [28]

Answer:

Subtraction

Step-by-step explanation:

Subtraction

153 - 45 = g + 45 - 45

108 = g

3 0
3 years ago
At the north campus of a performing arts schools, 10% of the students are music majors. At the south campus, 70% of the students
ad-work [718]

Answer:

10000

Step-by-step explanation:

3 0
3 years ago
What is two plus two
irinina [24]
Four 1+1+1+1=4 1+1=2 2+2=4!!!!!!
5 0
3 years ago
What is the slope of a trend line that passes through the points (5, 80) and (7, 65)?
Vlad [161]

Answer:

-15/2 or -7.5 or -7½

Negative StartFraction 15 Over 2 EndFraction

Step-by-step explanation:

Slope or gradient of a line is the ratio of change in y co-ordinates to the change in x co-ordinates.

Therefore;

M=∆y÷∆x

The change in y co-ordinates is given by

∆y=y2-y1

Similarly, change in x co-ordinates is given by

∆x=x2-x1

Given the two points as (5, 80) and (7, 65)

X1=5 Y1=80

X2=7 Y2=65

∆y=65-80=-15

∆x=7-5=2

Hence ∆y÷∆x will be -15÷2=-7.5 or -7½

Negative StartFraction 15 Over 2 EndFraction

4 0
3 years ago
Read 2 more answers
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