Answer:
The percent is 26%
Step-by-step explanation:
189 divided by 150 is 1.26 but since the original price is $150 the percent is 100% and 189 is 126% so the percent difference is 26%.
Answer:

Step-by-step explanation:
<u>Fundamental Theorem of Calculus</u>

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.
Given indefinite integral:

Rewrite 9 as 3² and rewrite the 3/2 exponent as square root to the power of 3:

<u>Integration by substitution</u>
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Find the derivative of x and rewrite it so that dx is on its own:


<u>Substitute</u> everything into the original integral:

Take out the constant:











Learn more about integration by substitution here:
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Answer:
Step-by-step explanation:
5
H(t) = -16t² + 60t + 95
g(t) = 20 + 38.7t
h(1) = -16(1²) + 60(1) + 95 = -16 + 60 + 95 = -16 + 155 = 139
h(2) = -16(2²) + 60(2) + 95 = -16(4) + 120 + 95 = -64 + 215 = 151
h(3) = -16(3²) + 60(3) + 95 = -16(9) + 180 + 95 = -144 + 275 = 131
h(4) = -16(4²) + 60(4) + 95 = -16(16) + 240 + 95 = -256 + 335 = 79
g(1) = 20 + 38.7(1) = 20 + 38.7 = 58.7
g(2) = 20 + 38.7(2) = 20 + 77.4 = 97.4
g(3) = 20 + 38.7(3) = 20 + 116.1 = 136.1
g(4) = 20 + 38.7(4) = 20 + 154.8 = 174.8
Between 2 and 3 seconds.
The range of the 1st object is 151 to 131.
The range of the 2nd object is 97.4 to 136.1
h(t) = g(t) ⇒ 131 = 131
It means that the point where the 2 objects are equal is the point where the 1st object is falling down while the 2nd object is still going up.
Answer:
4
Step-by-step explanation:
If you set the numbers in order from least to greatest, you will find that 4 is the middle value(median)