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Cerrena [4.2K]
3 years ago
13

The distance traveled by a falling object is directly proportional to the square of the time it takes to fall that far. If the o

bject falls 100 feet in 2.5 seconds, how far does it fall in 5 seconds?
Mathematics
1 answer:
Aleks04 [339]3 years ago
4 0

Answer:

400 ft

Step-by-step explanation:

Let the distance traveled = d

Let the time taken = t

d α t^2

d = kt^2

k = d /t^2

When d = 100 and t = 2.5secs

k = 100/ (2.5)^2

k = 16

d = 16t^2

When t = 5secs

d = 16(5)^2

d = 16 * 25

d = 400 ft

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PLEASE HELP Word problem involving average rate of change
oee [108]

Answer:

(a): 26.1

(b): 27.9

Please see below for the steps.

Step-by-step explanation:

(a):

Use points (0,0) and (3, 78.3)

Use slope formula. The slope formula is also used to find average rate of change (just so you know).

y2-y1/x2-x1

78.3-0/3-0=78.3/3=26.1

Answer for (a) is 26.1

(b):

Use points (4, 147.6) and (9, 287.1)

Use slope formula.

y2-y1/x2-x1

287.1-147.6/9-4=139.5/5=27.9

The answer for (b) is 27.9

Hope this helps!

Please mark as brainliest if correct!

Have a great day!

5 0
10 months ago
An experimenter conducted a two-tailed hypothesis test on a set of data and obtained a p-value of 0.44. If the experimenter had
Lyrx [107]

Answer:

Correct option is (C).

The possible value of the <em>p</em>-value for a one-tailed test are 0.22 and 0.78.

Step-by-step explanation:

The <em>p</em>-value is the probability of acquiring a result as extreme as the observed result, assuming the null hypothesis statement is true.

The <em>p</em> value of a test is:

Left-tailed test: P(TS

Right-tailed test: P(TS>ts) = 1- P(TS.

Here,

TS = Test statistic

ts = computed value of the test statistic.

The two-tailed <em>p</em>-value is: 2P(TS or 2P(TS>ts).

The <em>p</em>-value of the two tailed test is, 0.44.

Compute the <em>p</em>-value for one-tailed test a follows:

  • For a left-tailed test:

            2P(TS

  • For a right-tailed test:

            P(TS>ts) = 1- P(TS

Thus, the possible value of the <em>p</em>-value for a one-tailed test are 0.22 and 0.78.

The correct option is (C).

3 0
3 years ago
PLEASE HELP
Mkey [24]

-4,2, for the first two

7 0
2 years ago
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Olin [163]

Answer:

Here are a few examples.

(30/2 + 1)/2

(26/2 + 3)/2

(28/2 + 2)/2

5 0
2 years ago
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Answer:

1x

6y

Step-by-step explanation:

6 0
3 years ago
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