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2 years ago

What is the range of g(x)=3(2)^x-1?

1 answer:

4 0

This one is C since the graph of 3(2^x) approaches 0 and does not touch zero so if we subtract 1 then the limit would be -1

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Substract 8 times the sum of a and b from 9y

erastovalidia [21]

Answer:

Step-by-step explanation:

according to the question ur equation is

9y-8(a+b)

9y-8a-8b

6 0

2 years ago

Read 2 more answers

The radius of a cone is decreasing at a constant rate of 7 inches per second, and the volume is decreasing at a rate of 948 cubi

inessss [21]

Answer:

The height of cone is decreasing at a rate of 0.085131 inch per second.

Step-by-step explanation:

We are given the following information in the question:

The radius of a cone is decreasing at a constant rate.

$\displaystyle\frac{dr}{dt} = -7\text{ inch per second}$

The volume is decreasing at a constant rate.

$\displaystyle\frac{dV}{dt} = -948\text{ cubic inch per second}$

Instant radius = 99 inch

Instant Volume = 525 cubic inches

We have to find the rate of change of height with respect to time.

Volume of cone =

$V = \displaystyle\frac{1}{3}\pi r^2 h$

Instant volume =

$525 = \displaystyle\frac{1}{3}\pi r^2h = \frac{1}{3}\pi (99)^2h\\\\\text{Instant heigth} = h = \frac{525\times 3}{\pi(99)^2}$

Differentiating with respect to t,

$\displaystyle\frac{dV}{dt} = \frac{1}{3}\pi \bigg(2r\frac{dr}{dt}h + r^2\frac{dh}{dt}\bigg)$

Putting all the values, we get,

$\displaystyle\frac{dV}{dt} = \frac{1}{3}\pi \bigg(2r\frac{dr}{dt}h + r^2\frac{dh}{dt}\bigg)\\\\-948 = \frac{1}{3}\pi\bigg(2(99)(-7)(\frac{525\times 3}{\pi(99)^2}) + (99)(99)\frac{dh}{dt}\bigg)\\\\\frac{-948\times 3}{\pi} + \frac{2\times 7\times 525\times 3}{99\times \pi} = (99)^2\frac{dh}{dt}\\\\\frac{1}{(99)^2}\bigg(\frac{-948\times 3}{\pi} + \frac{2\times 7\times 525\times 3}{99\times \pi}\bigg) = \frac{dh}{dt}\\\\\frac{dh}{dt} = -0.085131$

Thus, the height of cone is decreasing at a rate of 0.085131 inch per second.

3 0

2 years ago

Complete the recursive formula of the arithmetic sequence 14, 30, 46, 62, ....

Sauron [17]

Answer:

They are adding 16 to the number each time. So the next number in the sequence would be 78.

Step-by-step explanation:

d(1) = 14

d(n) = d (n-1) + 16

14 + 16 = 30

30 + 16 = 46

46 + 16 = 62

62 + 16 = 78 and so on...

5 0

2 years ago

You have 63 coins in your piggy bank, all quarters and nickels. The total amount is $12.55. How many quarters do you have?

Kaylis [27]

Answer:

Step-by-step explanation:

divide 1200 by 25 and u get 47 so we have 1 nickel to add the 5 cents.

4 0

1 year ago

You have a coupon for your favorite clothing store for $25 off any purchase of more than $50. The store is also running a 20%-of

dusya [7]

F(x) = (1 - 0.25)x = 0.75x
f(x) = 0.75x

g(x) = (1 - 0.2)x = 0.8x
g(x) = 0.8x

(f o g)(x) = f(g(x)) = 0.75(0.8x) = 0.6x
(f o g)(x) = 0.6x

(g o f)(x) = 0.8(0.75x) = 0.6x
(g o f)(x) = 0.6x

It does not matter which one you apply first.

5 0

2 years ago