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3 years ago

8

Rosa's best time in a race is two seconds faster than her second-best time. Her second-best time is 1 1/4 times her best time. W

hat is her best time? A) 12 seconds B) 10 seconds C) 16 seconds D) 8 seconds

1 answer:

Svetradugi [14.3K]3 years ago

8 0

B) 10 seconds. 10/8=1 1/4

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Evaluate using <br> Definite integrals

swat32

Since $[0,4]=[0,1]\cup(1,4]$ , we can rewrite the integral as

$\displaystyle \int_0^1f(t)\;dt + \int_1^4 f(t)\; dt$

Now there is no ambiguity about the definition of f(t), because in each integral we are integrating a single part of its piecewise definition:

$\displaystyle \int_0^1f(t)\;dt = \int_0^11-3t^2\;dt,\quad \int_1^4 f(t)\; dt = \int_1^4 2t\; dt$

Both integrals are quite immediate: you only need to use the power rule

$\displaystyle \int x^n\;dx=\dfrac{x^{n+1}}{n+1}$

to get

$\displaystyle \int_0^11-3t^2\;dt = \left[t-t^3\right]_0^1,\quad \int_1^4 2t\; dt = \left[t^2\right]_1^4$

Now we only need to evaluate the antiderivatives:

$\left[t-t^3\right]_0^1 = 1-1^3=0,\quad \left[t^2\right]_1^4 = 4^2-1^2=15$

So, the final answer is 15.

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3 years ago

The prism has a volume up to 150.find the length of the prism

Varvara68 [4.7K]

Step-by-step explanation:

We have to know that in order to solve for the volume of a rectangular prism, we have to use this formula: l * w * h. This stands for length multiplied by width multiplied by height.

<u>Step 1</u>

Let's look at the numbers we already have. The height of the prism is 4 feet and the width is 5 feet. When we multiply them together, we got 20 feet.

<u>Step 2</u>

The volume of this prism adds up to 150 square feet. To find the length of this prism, we have to divide 150 by 20.

$150 / 20=7.5$

Our final answer: l = 7.5 feet

We can check our answer by multiplying all the numbers together.

4 * 5* 7.5 = 150

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3 years ago

1/4 to 1/2 find the percent of change-increase or decrease

Vika [28.1K]

The percent of change would be -33.3% which would then equal a 33.3% decrease (when decimal is rounded)

what I did was turn 1/4 and 1/2 into decimals to make it easier to solve

8 0

3 years ago

Read 2 more answers

The graph of g(x) is a translation of y = 3/x

Crank

Answer:

d

Step-by-step explanation:

6 0

3 years ago

1/6(x+6)=11 whats the x??

Katarina [22]

Answer:

60

Step-by-step explanation:

1/6(x+6)=11

1/6x+1=11

1/6x=11-1

1/6x=10

1/6/1/6=10/1/6

10x6=60

pls brainliest

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3 years ago