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3 years ago

The average rate of elevation change in feet per second if a submarine dives 440 feet in 20 seconds?

Mathematics

1 answer:

Lyrx [107]3 years ago

6 0

440/20 = 22

The average rate of elevation change is 22 feet per second

hope this helps

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A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function

FinnZ [79.3K]

Answer:

The ball reaches a height of 29.25 ft after 1.125 seconds

Step-by-step explanation:

The maximum height of a parabola can always be found by looking for the vertex. You can find the x value (or in this case the t value) of a vertex by using -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.

-b/2a

-(36)/2(-16)

-36/-32

1.125 seconds

Now to find the height, we input that value in for t

h = -16t^2 + 36t + 9

h = -16(1.125)^2 + 26(1.125) + 9

29.25 feet

6 0

3 years ago

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What is the area of the pentagon

vlada-n [284]

The area of the pentagon is 140

3 0

3 years ago

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A data set includes 103 body temperatures of healthy adult humans having a mean of 98.9degreesf and a standard deviation of 0.67

trasher [3.6K]

Answer:

Step-by-step explanation:

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation = 0.67

n = number of samples = 103

From the information given, the population standard deviation is unknown hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 103 - 1 = 102

Since confidence level = 99% = 0.99, α = 1 - CL = 1 – 0.99 = 0.01

α/2 = 0.01/2 = 0.005

the area to the right of z0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995

Looking at the t distribution table,

z = 2.6249

Margin of error = 2.6249 × 0.67/√103

= 0.173

Confidence interval = 98.6 ± 0.173

This suggests that the mean body temperature could very possibly be

98.6degrees°F.

3 0

3 years ago

Linear Functions <br> 7g+3g-10+3=43<br> Step by step solution? <br> Thankss!❤️

Ivahew [28]

7g + 3g - 10 + 3 = 43

(first combine likes terms)

10g - 7 = 43

(then add 7 to both sides)

10g - 7 = 43
+7 +7

10g = 50

(then divide by 10 to get what g is equal to)

10g = 50
/10 /10

g = 5

4 0

3 years ago

I need help to these questions. Convert these fractions to a decimal 7/8 , 4 3/8. Thanks

ehidna [41]

Simple...

you have: $\frac{7}{8}$ and $4 \frac{3}{8}$

Now, the first one is easy just divide it...

$\frac{7}{8} =0.875$

Now....

$4 \frac{3}{8}$ needs to be converted...

Multiply the whole number*denominator...

4*8=32

Now add the numerator....

32+3=35

Now use the original denominator...

$\frac{35}{8}$

Now divide...

$\frac{35}{8}=4.375
$

Thus, your answer.

7 0

3 years ago

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