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bagirrra123 [75]
3 years ago
12

The braking distance Dv (in meters) for a certain car moving at velocity v (in meters/second) is given by =Dvv234.

Mathematics
1 answer:
MaRussiya [10]3 years ago
8 0

Answer:

S(t)=\frac{9t^2}{34}

Step-by-step explanation:

We are given that

Th braking distance for a certain car moving at velocity v(in m/s) is given by

D(v)=\frac{v^2}{34}

The velocity of car B(t) t seconds after starting =B(t)=3t

We have to find the value for braking distance S(t) after t seconds.

To find the formula for braking distance we will substitute the value of velocity B(t) in place of v in D(v)

Substitute the value of velocity then we get

Then, we get

The formula for the braking distance S(t) after t seconds=\frac{(3t)^2}{34}

The formula for the braking distance S(t) after t seconds=\frac{9t^2}{34}

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Salsk061 [2.6K]

Answer:

x = 41.2

Step-by-step explanation:

Assuming the dotted line at the top is parallel to the segment with length x, it follows from the alternate interior angles theorem that the interior angle of the triangle (marked in diagram) is also 27º.

Using SOH-CAH-TOA, we get that tan(27º) = 21/x, so x = 21/tan(27º), which is approximately equal to 41.2.

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What is 7/8 as a percent do not round?
bezimeni [28]

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87.5%

Step-by-step explanation:

1) divide 7 by 8 which gives you 0.875

2) move the decimal in 0.875 two spaces to the right which makes it as a percent of 87.5%

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At 8:30 A.M.., Briana started filling a 2,800-gallon pond. At 10:30 A.M., she had filled 1,400 gallons. At what time will the po
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Answer:

12:30 pm

Step-by-step explanation:

8:30 am pond is empty

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  time?    pound is 2,800 gallons full

from 8:30 to 10:30 are 2 hours so the rate of filling up is

             1,400 gallons in 2 hours

to have a whole pond filled we need another 2 hours because

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3 0
3 years ago
Center: (-2,5), radius:7
Firlakuza [10]

Answer:

(x + 2)² + (y - 5)² = 7²

Step-by-step explanation:

Incomplete question.  I believe you meant, "write the equation of the circle with center at (-2, 5) and radius 7.

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A publisher reports that 344% of their readers own a particular make of car. A marketing executive wants to test the claim that
inysia [295]

Answer:

No, there is not enough evidence at the 0.02 level to support the executive's claim.

Step-by-step explanation:

We are given that a publisher reports that 34% of their readers own a particular make of car. A random sample of 220 found that 30% of the readers owned a particular make of car.

And, a marketing executive wants to test the claim that the percentage is actually different from the reported percentage, i.e;

Null Hypothesis, H_0 : p = 0.34 {means that the percentage of readers who own a particular make of car is same as reported 34%}

Alternate Hypothesis, H_1 : p \neq 0.34 {means that the percentage of readers who own a particular make of car is different from the reported 34%}

The test statistics we will use here is;

                T.S. = \frac{\hat p -p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } } ~ N(0,1)

where, p = actual % of readers who own a particular make of car = 0.34

            \hat p = percentage of readers who own a particular make of car in a

                  sample of 220 = 0.30

            n = sample size = 220

So, Test statistics = \frac{0.30 -0.34}{\sqrt{\frac{0.30(1- 0.30)}{220} } }

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Now, at 0.02 significance level, the z table gives critical value of -2.3263 to 2.3263. Since our test statistics lie in the range of critical values which means it doesn't lie in the rejection region, so we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the actual percentage of readers who own a particular make of car is same as reported percentage and the executive's claim that it is different is not supported.

3 0
3 years ago
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