MATHEMATICS MIDDLE SCHOOL

the kinetic energy of a moving object can be calculated from the expression 1/2mv[2], where m is the mass of the object in kilograms and v is its speed in meters per second. find the kinetic energy of a 145-kg baseball that is thrown at a speed of 40 meters per second

Answers

Answer 1

Answer:

So, we plug the values back into the formula. 1/2(145)(40)^2

First we square velocity, so it will be: 1600.

Then 1600*145 = 232000

Divide this by 2, so: 116,00

So, the kinetic energy would be 116,000.

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On a real number line, x = -4 and y = 7. What is the length of the line XY? A: 11
B: 3
C: -11
D: 7

Answers

$x=-4 \n y=7 \n \n xy=4+7 \n =11 \n =A$

I need help w this math ASAPTeri lives d miles from school. Joel lives 1 mile more than 3 times the distance from school Teri lives. Joel lives 7 mile from school.

Which equation can Joel use to show an equality between two different ways of expressing the distance he lives from school?
A. 3d + 1 = 7
B. 3d – 1 = 7
C. d/3 + 1 = 7
D. d/3 - 1 = 7

Answers

Answer:

anwser is A

Step-by-step explanation:

14 is what percent of 56?

Answers

let the what be x
56%* x=14
x= 14/56%
x= 25%

The solution of the number for the given condition x% of 56 is the number 14 is 4%

Used the concept of percentage which states that,

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.

Given that,

The x% of 56 is the number 14.

Now, we can write a mathematical expression as,

x% of 56 is 14.

$14 = (x)/(100) * 56$

Multiply both sides by 100,

$14 * 100 = 56x$

$56x = 1400\n$

$x = (56)/(14)$

$x = 4$

So, we get;

4% of 56 = 14

To learn more about the percentage visit:

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-6(a+8) how do I simplify ?

Answers

Answer:

-6a-48

Step-by-step explanation:

distribute

Use the Distributive Property:

You "distribute" -6 into the equation by multiplying it by each number in the parentheses.

-6(a+8)
1) multiply -6 by a, which equals -6a
2) multiply -6 by 8, which equals -48

Your equation should be -6a-48

From there, it can be seen that you can divide -6 from each number in the equation.
-6a/-6 just leaves you with a
-48/-6 gives you 8

a-8

Find the roots of the quadratic equation x^2-8x=9 by completing the square. Show your work.

Answers

$x^(2) -8x=9 \n x^(2) -8x+(-4)^(2) = 9 + (-4)^(2) \n x^(2) -8x+16 = 9 + 16 \n (x-4)^(2) =25 \n x-4= √(25) \n x-4= \pm 5 \n x= \pm 5+4$
x = 5 + 4 or -5 + 4
x = 9 or -1

7.025 how to change it to a fraction?

Answers

$7.025=7+0.\underbrace{025}_(3\ digits)\ /3\ decimal\ places\ are\ thousandths/\n\n=7+(25)/(1000)=7+(25:25)/(1000:25)=7+(1)/(40)=\boxed{7(1)/(40)}$

7.025
.025 = 25/1000=1/40
7 1/40

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