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3 years ago

A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 9, s(0) = 8, v(0) = −7

1 answer:

4 0

If you mean by a(t)=2t+9 is the acceleration function then we integrate...

v(t)=2t^2/2+9t+c where c is vo and we are told that that is -7 so

v(t)=t^2+9t-7 integrating again we get:

s(t)=t^3/3+9t^2/2-7t+c where c is the initial position which is 8 so

s(t)=t^3/3+9t^2/2-7t+8 which neatened up as

s(t)=(2t^3+27t^2-42t+48)/6

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A special discount was offered to the employees of Ryan's, a lead ing men's store. Employees were given their employee discount

Helen [10]

Answer: a) $2155, b) $1763.03.

Step-by-step explanation:

Since we have given that

Number of cable knit sweaters = 15

Cost per sweaters = $65.00

Number of pairs of khaki twill pants = 22

Cost of each pair = $50.00

Number of casual jackets = 18

Cost of each jackets = $62.00

total sale volume would be

$15\times 65+22\times 50+18\times 62\\\\=\$3191$

Employee discount = 35%

Additional discount = 15%

So, Total markdown dollars taken is given by

$3191\times \dfrac{100-35}{100}\times \dfrac{100-15}{100}\\\\=3191\times \dfrac{65}{100}\times \dfrac{85}{100}\\\\=3191\times 0.65\times 0.85\\\\=\$1763.0275$

Hence, a) $2155, b) $1763.03.

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3 years ago

The measures of two sides of a triangle are 4in and 13in. Find all possible values that the third side of this triangle can be?

ElenaW [278]

Answer:

9 < x < 17 is the possible length of the third side of a triangle.

Step-by-step explanation:

The Triangle Inequality theorem defines that if we are given two sides of a triangle, the sum of any two given sides of a triangle must be greater than the measure of the 3rd side.

Given the two sides of the triangle

4 in

13 in

Let 'x' be the length of 3rd size.

According to the Triangle Inequality theorem,

The difference of two sides < x < The sum of two sides

13 - 4 < x < 13+4

9 < x < 17

Therefore, 9 < x < 17 is the possible length of the third side of a triangle.

5 0

2 years ago

Plz help me!!!! What's the answer in decimal form?

marysya [2.9K]

When I did the math in my head the fraction I got was 20/100000. 20/100000 as a decimal form is 0.0002.

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2 years ago

Read 2 more answers

Solve the problem. For large numbers of degrees of freedom, the critical chi χ squared 2 values can be approximated using the f

kykrilka [37]

Answer:

0.01 =0.0001

Step-by-step explanation:

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2 years ago

The heart rate variability (HRV) of police officers was the subject of research published in a biology journal. HRV is defined

nexus9112 [7]

Step-by-step explanation:

Consider the provided information.

Part (A) We need to find the confidence coefficient.

The given value or percentage of probability is known as the confidence coefficient that the interval contains the parameter.

Hence, the confidence coefficient is 0.90

Part (B) Practical interpretation of both of the 99% confidence intervals.

It means that there is 99% confident that the mean of population HRV for officers diagnosed hypertension which lies between 6.9 and 122.9

There is 99% confident that the mean of population HRV for officers those are not hypertensive which lies between 144.2 and 184.9.

Part (C)

If you are saying 99% confident that means the 99% of the similarly generated confidence intervals will contain the true value of the population mean in repeated sampling.

Part (D)

If We want to reduce the width of each confidence interval, you need to use smaller confidence coefficient.

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2 years ago