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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

You might be interested in
The time (in number of days) until maturity of a certain variety of tomato plant is Normally distributed with mean μ. You select
VLD [36.1K]

Answer: 60.93 < μ < 69.07

Step-by-step explanation: The true mean of a set of data is between an interval of values with a percentage of precision, e.g., a <u>99% confidence interval</u> means we are 99% confident the true mean is between the lower and upper limits.

To find the interval, use

x±z\frac{s}{\sqrt{n}}

z is z-score related to the % of confidence level

In this case, a 99% confidence interval is 2.576

x is sample mean

Calculating:

x=\frac{63+69+62+66}{4}

x = 65

65±2.576\frac{3.16}{\sqrt{4}}

65±4.07

Confidence Interval: 60.93 < μ < 69.07

Meaning that we are 99% sure the population means is between 60.93 and 69.07.

7 0
3 years ago
A beetle was running along a number line…
melamori03 [73]

Answer:

Its average speed is 7 units per second.

Step-by-step explanation:

25-4= 21

Distance is 21.

Divide the \frac{distance}{time} , which will be \frac{21}{3}. 21/3 is 7.

Its average speed is 7 units per second.

4 0
3 years ago
The graph of a polynomial function is shown here.
mezya [45]

Answer:

a i thike mybe

Step-by-step explanation:

3 0
3 years ago
If f(x)=x+7 and g(x)= 1 divided by x-13, what is the domain of (f•g)(x)?
andrew11 [14]
<h2>Hello!</h2>

The answer is:

The domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

<h2>Why?</h2>

This is a composite function problem. To solve it, we need to remember how to composite a function. Composing a function consists of evaluating a function into another function.

Composite function is equal to:

f(g(x))=(f\circ} g)(x)

So, the given functions are:

f(x)=x+7\\\\g(x)=\frac{1}{x-13}

Then, composing the functions, we have:

f(g(x))=\frac{1}{x-13}+7\\

Therefore, we must remember that the domain are all those possible inputs where the function can exists, most of the functions can exists along the real numbers with no rectrictions, however, for this case, there is a restriction that must be applied to the resultant composite function.

If we evaluate "x" equal to 13, the denominator will tend to 0, and create an indetermination since there is no result in the real numbers for a real number divided by 0.

So, the domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

Have a nice day!

5 0
3 years ago
40 POINTS
Hatshy [7]

Answer:

Step-by-step explanation:

6 0
3 years ago
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