I like strawberries.

Which of these values could be the slope of the line? Select TWO options

mylen [45]

Answer:

7/4 and 3

Step-by-step explanation:

It's a positive slope (sloping up and to the right).

If its sloping from quadrant 3 to 1, it's positive

5 0

3 years ago

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

Probabilidad un cubo numérico <br><br>

yKpoI14uk [10]

Answer:

87

Step-by-step explanation:

87

6 0

3 years ago

A biologist estimated that the current population of ladybugs in the region was 8.3 x 106. He predicts that a swarm of

stiks02 [169]

Answer:

iId

Step-by-step explanation:

6 0

3 years ago

A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm. a regular hexagon has an apothem with le

taurus [48]

<u>The approximate area of the </u><u>hexagon</u><u> = </u><u>672 cm²</u>

What is hexagon ?

In geometry, hexagon is a polygon with 6 sides.
If the lengths of all the sides and the measurement of all the angles are equal, such hexagon is called a regular hexagon.
In other words, sides of a regular hexagon are congruent.

apothem of the hexagon = 14 cm

perimeter of the hexagon = 96 cm

Area of the hexagon = [(3√3) / 2] a² ; where a is the measure of the side

hexagon has 6 sides.

Perimeter = 6a

96 cm = 6a

96 cm / 6 = a

16 = a

There are 6 triangles in the hexagon .

Area of a triangle = (height * base) / 2

A = (14 cm * 16 cm) / 2

A = 224 / 2

A = 112 cm²

The approximate area of the hexagon = 112 cm² * 6 triangles = 672 cm²

Learn more about hexagon .

brainly.com/question/3295271

#SPJ4

7 0

1 year ago