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3 years ago

100 POINTS plz help Chuck drops a rock from a height of 70 m. How long will it take the rock to hit the ground?

Mathematics

2 answers:

elixir [45]3 years ago

7 0

Answer:

3.8 seconds

Step-by-step explanation:

h(t) = −4.9t² + v0t + h0,

0 = -4.9t² + 70

4.9t² = 70

t² = 100/7

t = 3.77964473

lord [1]3 years ago

4 0

Answer:

3.8

Step-by-step explanation:

We are going to plug in the values of the equation, so h(t)=-4.9^2+v0t+h0 will

now be h(t)=-4.9^2+0+70

Now we will find the a b and c of the equation, a=-4.9 b=0 c=70

Now we must find the discriminant of the equation, which the equation for that is D=b^2+(-4)(a)(c)

So D=1,372

Now we use the quadratic formula (see picture below for finished product)

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What’s the answer to the 4th question?

babunello [35]

Answer:

1440 Buckets of Water

Step-by-step explanation:

1 Bucket = 2.5 Gallons of Water

1 Cubic Foot = 7.5 Gallons of Water

1 Cubic Foot = 3 Buckets

480 x 3 = 1440

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2 years ago

What is the volume of a sphere with a radius of 6.6 cm, rounded to the nearest tenth of a cubic centimeter?

Dvinal [7]

Answer:

Volume=1204.26cm3

Step-by-step explanation:

6.6

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2 years ago

The rainfall amount last year was 6 inches below normal. The rainfall this year was 13 inches more than last year. What is the d

Lostsunrise [7]

Answer:

Step-by-step explanation:

The term difference means to subtract. Therefore, 13in - 6in, is equal to 7 inches.

13-6=7

Hope this Helps!!!

6 0

2 years ago

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confiden

Vlad [161]

Answer:

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.

This means that $n = 2161, \pi = \frac{1214}{2161} = 0.5618$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a p-value of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Margin of error:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}$

$M = 0.0209$

The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.

4 0

3 years ago

What point on the graph of y = 0.5f(x) corresponds to (4, 16)? Explain.

SVETLANKA909090 [29]

We are given a coordinate (4,16).

Where first coordinate is the value of x and second coordinate is the value of y for the function y=f(x).

We need to find the value of given point (4,16) for function y= 0.5f(x).

Here function f(x) is being multiplied by 0.5.

On multiplying 0.5 by y, it will effect the value of y only. It does not effect value of x . Because x value is still x. Only function f(x) is being multiplied by 0.5.

Therefore, y= 0.5f(4) = 0.5 * 16 = 8.

So, (4,8) is the point on the graph of y = 0.5f(x) corresponds to (4, 16).

4 0

3 years ago