MATHEMATICS HIGH SCHOOL

A race car moving along a circular track has a centripetal acceleration of 12 m/s. Ifthe distance between the car and the center of the track is 40 m, what is the speed
of the car?

Answers

Answer 1
Answer:

Answer:

The speed of the car is 21.91 m/s

Step-by-step explanation:

Centripetal Acceleration

It's the acceleration experienced by an object in a uniform circular motion.

It always points toward the center of rotation and is perpendicular to the linear velocity v.

The magnitude of the centripetal acceleration is:

\displaystyle a_c=(v^2)/(r)

Where r is the radius of rotation.

The race car has a centripetal acceleration of a_c=12 m/s^2 and the radius of rotation is r=40 m.

We can calculate the speed of the car by solving the above equation for v:

v=√(a_c\cdot r)

v=√(12\cdot 40)

v=√(480)

v=21.91\ m/s

The speed of the car is 21.91 m/s

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Really confused. Need help asap

What value or values of x satisfy 2|x+5.3|=4.2a. x can only equal –3.2.
b. x can only equal 7.4.
c. x can equal –3.2 or –7.4.
d. x can equal –3.2 or 7.4.

Answers

we have

2\left|x+5.3\right|=4.2

Step 1

Find the first solution (case positive)

2(x+5.3)=4.2

Eliminate the parenthesis left side

2x+10.6=4.2

Subtract 10.6 both sides

2x=4.2-10.6

2x=-6.4

Divide by 2 both sides

x=-3.2

Step 2

Find the second solution (case negative)

2[-(x+5.3)]=4.2

Eliminate the parenthesis left side

-2x-10.6=4.2

Adds 10.6 both sides

-2x=4.2+10.6

-2x=14.8

Divide by -2 both sides

x=-7.4

therefore

the answer is the option C

x can equal –3.2 or –7.4
We have, /x+5.3/ = 2.1;
Then, x + 5.3 = 2.1 or  x + 5.3 = -2.1;
x = 2.1 - 5.3; x = -3.2;
x = -2.1-5.3; x = -7.4;
The correct answer is c.

K=A+32 solve for Variable A

Answers

K=A+32\n\nA+32=K\ \ \ \ |subtract\ 32\ from\ both\ sides\n\n\boxed{A=K-32}
K=A+32
A=K-32
.........

Which unit would you use to measure the weight of a cell phone?ounces
pounds
tons
pints

Answers

The answer should be ounces.

What is the least common multiple of 27 and 36

Answers

The least common multiple of 27 and 36 is 108.

What is the least common multiple?

The least common multiple is defined as the smallest multiple that two or more numbers have in common.

Given that, what is the least common multiple of 27 and 36,

To find the LCM of 27 and 36, we need to find the multiples of 27 and 36 Multiples of 27 = 27, 54, 81, 108;

Multiples of 36 = 36, 72, 108, 144

The smallest multiple that is exactly divisible by 27 and 36, is 108.

Hence, the least common multiple of 27 and 36 is 108.

Learn more about LCM, click;

brainly.com/question/20739723

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To get the Least Common Multiple (LCM) of 27 and 36 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:

27:     33336:   2233 LCM:   22333

The Least Common Multiple (LCM) is:   2 x 2 x 3 x 3 x 3 = 108

Solve the equation 8x-12=5x+15

Answers

8x-12=5x+15
add 12 to both sides

8x=5x+27
subtract 5x from both sides

3x=27
divide by 3

x=9

8x = 5x + 27 Add 12 to both sides

3x = 27 Subtract 5x from both sides

x = 9 Divide both sides by 3

A bowl holds 100 peanuts . how many bowls would hold a million peanuts?

Answers

You would need 10,000 bowls to hold a million nuts
1 bowl = 100
? bowl = 1,000,000

1,000,000 / 100 = 10,000
Therefore
10,000 bowl = 1,000,000 nuts
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