Factor the following polynomial completely. 0.3x^2-3x+7.2

The radius of circle A is r cm. The radius of circle B is twice the radius of circle A. What difference between the circumferenc

avanturin [10]

9514 1404 393

Answer:

2πr cm

Step-by-step explanation:

The circumference of a circle of radius r is ...

C = 2πr

For a radius of (r cm), the circumference is ...

A = 2π(r cm) = 2πr cm

For a radius of (2r cm), the circumference is ...

B = 2π(2r cm) = 4πr cm

Then the difference between the circumferences is ...

B -A = (4πr cm) -(2πr cm) = 2πr cm . . . . difference in circumference

3 0

3 years ago

IF A LIQUID WEIGHS 2 POUNDS AND HAS A CApacity of 3 gallons. what is its density

umka21 [38]

Answer:

0.08 g/cm³

Step-by-step explanation:

We are given;

Mass of the liquid = 2 pounds

But; 1 pound = 453.592 g

Therefore, mass = 907.184 g

Volume of the liquid = 3 gallons

But; 1 gallon = 3785.41 cm³

Thus, volume = 11356.23 cm³

We are required to determine the density of the liquid;

We need to know that;

Density = Mass ÷ Volume

Therefore;

density of the liquid = 907.184 g ÷ 11356.23 cm³

= 0.0799 g/cm³

= 0.08 g/cm³

Thus, the volume of the liquid is 0.08 g/cm³

3 0

3 years ago

What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.

elena-s [515]

Given:

The height of a golf ball is represented by the equation:

$y=x-0.04x^2$

To find:

The maximum height of of Anna's golf ball.

Solution:

We have,

$y=x-0.04x^2$

Differentiate with respect to x.

$y'=1-0.04(2x)$

$y'=1-0.08x$

For critical values, $y'=0$ .

$1-0.08x=0$

$-0.08x=-1$

$x=\dfrac{-1}{-0.08}$

$x=12.5$

Differentiate y' with respect to x.

$y''=(0)-0.08(1)$

$y''=-0.08$

Since double derivative is negative, the function is maximum at $x=12.5$ .

Substitute $x=12.5$ in the given equation to get the maximum height.

$y=(12.5)-0.04(12.5)^2$

$y=12.5-0.04(156.25)$

$y=12.5-6.25$

$y=6.25$

Therefore, the maximum height of of Anna's golf ball is 6.25 units.

7 0

3 years ago

Explain how you would graph the line y = 2/3x + 3 using its slope and y-intercept.

Ivahew [28]

Answer:

Slope = 2/3 Y intercept +3

Step-by-step explanation:

Plot the y-intercept (0,+3) in the xy axis. Remember, this point always lies on the vertical axis y.

Starting from the y-intercept, find another point using the slope. Slope contains the direction how you go from one point to another.

The numerator tells you how much steps to go up or down (rise) while the denominator tells you how many units to move left or right (run).

Connect the two points generated by the y-intercept and the slope using a straight edge (ruler) to reveal the graph of the line.

5 0

3 years ago

Read 2 more answers

Evaluate the polynomial 6x - y for x= -3 and Y=2. A.15 B. -20 C.4 D.-16

ra1l [238]

I think the answer is B.
6(-3)=-18, and y=2
so 6x-y=-18-2=-20

6 0

3 years ago