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garik1379 [7]
3 years ago
8

The kinetic energy k of an object in joules is given by the formula k=1/2mv² where m is the object's mass in kilograms and v is

its velocity in meters per second. An object’s velocity is 20 meters per second, and its kinetic energy is 48,000 joules. If it speeds up to 40 meters per second, what is its new kinetic energy?
Mathematics
1 answer:
Tamiku [17]3 years ago
5 0

Answer:

192000 J

Step-by-step explanation:

k = 1/2 mv²

48000 = 1/2 x m x (20)²

48000 = 200m

m = 240 kg

new k

k = 1/2 x 240 x 40²

k = 192000 J

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: Which equations have an infinite number of solutions? Select all that apply. A -2(x - 2) + 3x = x - 4 B 2x + 4(x - 1) = 3(2x +
MissTica

Option C and Option D

3x + 2(x - 2) + 6 = 2(2x + 3) + x - 4 has infinite number of solutions

4(x + 2) + x + 1 = 2x - 3 + 3(x + 4) has infinite number of solutions

<h3><u>Solution:</u></h3>

Given that we have to find the equations that has infinite number of solutions

If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions.

If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.

<h3><u>Option A</u></h3>

-2(x - 2) + 3x = x - 4

Multiply the terms inside the bracket

-2x + 4 + 3x = x - 4

x + 4 = x - 4

Thus this equation does not have infinite number of solutions

<h3><u>Option B</u></h3>

2x + 4(x - 1) = 3(2x + 1) - 2(x - 1)

2x + 4x - 4 = 6x + 3 - 2x + 2

6x - 4 = 4x + 5

6x - 4x = 5 + 4

2x = 9

x = \frac{9}{2}

Thus this equation has only one solution.

Thus this equation does not have infinite number of solutions

<h3><u>Option C</u></h3>

3x + 2(x - 2) + 6 = 2(2x + 3) + x - 4

3x + 2x - 4 + 6 = 4x + 6 + x - 4

5x + 2 = 5x + 2

Thus this equation has infinite number of solutions

<h3><u>Option D</u></h3>

4(x + 2) + x + 1 = 2x - 3 + 3(x + 4)

4x + 8 + x + 1 = 2x - 3 + 3x + 12

5x + 9 = 5x + 9

Thus this equation has infinite number of solutions

3 0
3 years ago
Rewrite the following expression using the properties of logarithms. log2z+2log2x+4log9y+12log9x−2log2y
kramer
Use the rules of logarithm:
1. log(x)+log(y)=log(xy)
    log(x)-log(y)=log(x/y)
2. k*log(x) = log(x^k)
    log(x)/k = log(x^(1/k))

<span>log(2z)+2log(2x)+4log(9y)+12log(9x)−2log(2y)
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=log(2z)+log(4x^2)+log(6561y^4)+log(282429536481x^12)−log(4y^2)
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3 years ago
How would you find if these two triangles are congruent?
nexus9112 [7]
Compare the small marks on the lines of the triangles, if you draw them both out next to each other, are they exactly the same? If so, they’re congruent
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3 years ago
Put these numbers from least to greatest. I'm too lazy to do it. it's for trigonometry.
blagie [28]

Answer:

15, 20, 25, 40, 50, 55, 65, 70, 75, 80, 85, 95

Hope this was all the numbers.

:)

8 0
3 years ago
Read 2 more answers
Converting Units Attachment Included
kumpel [21]
100÷11=9.09090909
converting it it will be 9.1 miles per hour
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3 years ago
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