All categories

3 years ago

Find the missing exponet

Mathematics

1 answer:

Ganezh [65]3 years ago

5 0

The answer to this question is 48828125 I think. It should be right

You might be interested in

Given that f(x) is the original function, what is true about the transformation, g(x)? g(x) is reflected about the y-axis. g(x)

dusya [7]

Answer:C, g(x) is reflected about the x-axis

Step-by-step explanation: hope that helps

6 0

3 years ago

Read 2 more answers

The volume of a sphere is decreasing at a constant rate of 9988 cubic centimeters per minute. At the instant when the volume of

Inessa05 [86]

Using implicit differentiation, it is found that the rate of change of the surface area of the sphere -2201.293 square centimeters per second.

<h3>What is the volume of a sphere?</h3>

The volume of a sphere, of radius r, is given by:

$V = \frac{4\pi r^3}{3}$

<h3>What is the surface area of a sphere?</h3>

The surface area of a sphere, of radius r, is given by:

$S = 4\pi r^2$

<h3>What is the rate of change?</h3>

Applying <em>implicit differentiation</em>, the rate of change of both the volume and the surface area can be found, as follows:

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

$\frac{dS}{dt} = 8\pi r\frac{dr}{dt}$

Volume of 3131 cubic centimeters, hence:

$V = \frac{4\pi r^3}{3}$

$\frac{4\pi r^3}{3} = 3131$

$4\pi r^3 = 3(3131)$

$r = \sqrt[3]{\frac{3(3131)}{4\pi}}$

$r = 9.0754$

The volume of a sphere is decreasing at a constant rate of 9988 cubic centimeters per minute, hence:

$\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}$

$-9988 = 4\pi (9.0754)^2\frac{dr}{dt}$

$\frac{dr}{dt} = -\frac{9988}{4\pi (9.0754)^2}$

$\frac{dr}{dt} = -9.651$

Then, the <u>rate of change of the surface area</u> of the sphere is given by:

$\frac{dS}{dt} = 8\pi (9.0754)(-9.651) = -2201.293$

The rate of change of the surface area of the sphere -2201.293 square centimeters per second.

To learn more about implicit differentiation, you can take a look at brainly.com/question/25608353

4 0

3 years ago

A study of consumer smoking habits includes 193 people in the 18-22 age bracket (60 of whom smoke), 127 people in the 23-30 age

Thepotemich [5.8K]

Total number of people in the sample = 193 + 127 + 96 = 416

Probability of picking 23-30 year old = 92 /416 = 0.2212 ( not including the people who smoke)

Number of people who smoke = 60+35+23 = 118 people

Prob(someone who smokes) = 118/416 = 0.2837

So required probability = 0.2837 + 0.2212 = 0.505 (answer)

3 0

3 years ago

Find the equation of the circle with center at (-1.3) and radius of 4.

Zigmanuir [339]

Answer:

(x+1)^2+ (y-3)^2=16

Step-by-step explanation:

3 0

4 years ago

Find the cartesian product Ax B of the following sets a) A = {x:x=1,2,3},b{y:y=3-x}

BabaBlast [244]

Answer:

Step-by-step explanation:

A=(1,2,3)

B=(0,1,2)

A×B=(1,2,3)×(0,1,2)

A×B=((0,1),(1,1),(1,2),(0,2),(1,2),(2,2),(0,3),(1,3),(2,3))

3 0

2 years ago