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Komok [63]
2 years ago
12

The distance an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 1

44 feet in 3 seconds, how far will it fall in 17 seconds? a 4046 ft b 272 ft c 4624 ft d 5202 ft answer is C​
Mathematics
2 answers:
USPshnik [31]2 years ago
4 0

Step-by-step explanation:

Assuming the Height is denoted by "h" and the time by "t" , h=kt² since h varies as t².

When h=144ft , t=3

k=h/t²

k=144/3²

k= 16

This implies that h=16t² is the relation to be used.

Therefore when t= 17s, h=16*17²

h=4624ft

Tanzania [10]2 years ago
3 0

Answer:

the object will fall 792 feet in 17 seconds

Step-by-step explanation:

first you can do 144 multiplied by 5 because that would be 15 of those seconds next you would do 144 divided by 2 because you only need 2 seconds to reach 17 your answer would be 72 then you would do 720+72=792 so it would fall 792ft in 17 seconds

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Solve for t. 5(t + 3)= -3.5
sattari [20]

Answer:

Step-by-step explanation:

5(t+3)=-3.5

distribute

5t+15=-3.5

subtract 15 from both sides

5t= -18.5

divide both sides by 5

t=-3.7

5 0
2 years ago
17. Your goal is to save at least $360.00 over the next 6 weeks. How much money must you save each week in order to meet that go
OLga [1]
<h2>Answer </h2>

D. 6x>_360; x>_60

<h2>Explanation</h2>

Let x be amount you will save each weeks

Since we know that you are saving over a period of 6 weeks, you will save 6x.

We also now that your goal is to save at least $360.00 over the period of 6 weeks, so saving more than $360.00 will be very desirable, but the goal is to save $360.00. We can rephrase this as: You need to save $360.00 or more; we can say the same using the inequality symbol \geq (greater on equal than)

Now we can combine our tow parts using the inequality symbol:

6x\geq 360

To simplify divide both sides by 6:

\frac{6}{6} x\geq \frac{360}{6}

x\geq 60

You need to save at least $60 per week, so the correct answer is D. 6x>_360; x>_60



4 0
3 years ago
Work out the equation of the line which has a gradient of 2 and passes through the point (1, 4)
leva [86]

Answer:

y = 2x + 2

Step-by-step explanation:

The slope is also called the gradient of the line.

The slope that is given is two, and the point is (1, 4).

I made a point slope equation, and then converted it into a slope-intercept equation.

y-4=2(x-1)\\\\y-4=2x-2\\\\y-4+4=2x-2+4\\\\\boxed{y=2x+2}

Hope this helps.

4 0
3 years ago
At Silver Gym, membership is $25 per month, and personal training sessions are $40 each. At Fit Factor, membership is $75 per mo
ludmilkaskok [199]

Answer:

5

Step-by-step explanation:

You start with each membership for each gym as your starting point, then you add the personal sessions to that number.

Silver Gym: 25 65 105

Fit Factor: 75 105

As you can see, it will take Sarah 5 sessions to have both costs equal

4 0
2 years ago
For a sample of n = 30 scores, X = 45 corresponds to z = 1.50 and X = 40 corresponds to z = +1.00. What are the values for the s
Ber [7]

Answer:

Sample mean = 30

Standard deviation = 10

Step-by-step explanation:

A system with two linear equations can be modeled with the information given in order to find the sample mean (M) and the standard deviation (s):

z=\frac{X-M}{s}\\\\1.50=\frac{45-M}{s} \\1.00=\frac{40-M}{s}

Solving the linear system:

40-M = \frac{45-M}{1.5}\\M=\frac{15}{0.5}\\M=30\\\\s=\frac{45-30}{1.5}\\s=10

The sample mean is 30 while the standard deviation is 10.

3 0
3 years ago
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