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aliina [53]
3 years ago
15

A water balloon is thrown out of a window 96 feet above the ground. The balloon is traveling downward at 16 feet per second init

ially. If h is the balloon’s height in feet after t seconds, then
h = -16t 2 -16t + 96,

It will take the balloon
a0 seconds to hit the ground.
Mathematics
2 answers:
gulaghasi [49]3 years ago
7 0
It hits the ground at h=0

0=-16t^2-16t+96
undistribute -16
0=-16(t^2+t-6)
factor
0=-16(t-2)(t+3)
set to zero
0=t-2
2=t

t+3=0
t=-3, nope, we can't have negative time

at t=2, or 2 seconds
kirill [66]3 years ago
5 0

Answer:

2 seconds

Step-by-step explanation:

Given : h = -16t^2 -16t + 96

To Find: after how many seconds it will hit the ground?

Solution:

The height of the balloon is given at time t :  h = -16t^2 -16t + 96

Now we re supposed to find after how many seconds it will hit the ground i.e. height will be 0 , h=0

Substitute h = 0 in the equation

0 = -16t^2 -16t + 96

0 = -16(t-2)(t+3)

t=2,-3

Since the time cannot be negative

So, it will hit the ground after 2 seconds .

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Answer:

3x-4

Step-by-step explanation:

y=ax+b general type of the line

a is the slope

y=3x+b

put 5 instead of the x and put 11 instead of the y

11=15+b

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Equation is 3x-4

4 0
2 years ago
How do i complete the rest of the table
Rufina [12.5K]
To find Vanilla for ages 8-12, you add up the known amount from each flavor for that age group and subtract it from the total to get... 50 - (25 + 12) = 13
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Now that we have that number, we can use it to find the amount of people ages 13-17 who chose Vanilla. To find this you subtract the total amount of people who chose chocolate and strawberry from the total amount of people to get... 80 - (40 + 12) = 28

This should help :)
4 0
3 years ago
Read 2 more answers
The roots of an equation are x=-1 plus or minus I the equation is x^2+ ?
Oxana [17]

Answer:

x^2+2x+2

Step-by-step explanation:

If the roots of the equation are -1\pm i, then by the zero product rule:

x=-1\pm i \\\\x+1\pm i=0 \\\\(x+1+i)(x+1-i)=0\\\\x^2+x-ix+x+1-i+ix+i+1=0 \\\\x^2+2x+2=0

You can confirm this with the quadratic equation:

x=\dfrac{-2\pm\sqrt{4-8}}{2}=\dfrac{-2\pm 4i}{2}=-1\pm i

Hope this helps!

8 0
3 years ago
A physical education teacher wanted to test whether her county’s students are falling below the national proportion. It is known
Ipatiy [6.2K]

Answer:

(a) The population parameter is students who ran the mile in less than 10 minutes.

(b) The hypothesis being tested is:

H0: p = 0.70

Ha: p < 0.70

(c) The significance level is 0.05.

(d) In order to conduct a one-sample proportion z-test, the following conditions should be met:

The data are a simple random sample from the population of interest.

The population is at least 10 times as large as the sample.

n⋅p ≥ 10 and n⋅(1−p) ≥ 10, where n is the sample size and p is the true population proportion.

n⋅p = 756 * 0.70 ≥ 10

n⋅(1−p) = 756 * (1 - 0.70) ≥ 10

All the conditions are met.

(e) p = 504/756 = 0.67

The test statistic, z = (p - p)/√p(1-p)/n = (0.67 - 0.70)/√0.70(1-0.70)/756 = -2.00

(f) The p-value is 0.0228.

(g) Since the p-value (0.0228) is less than the significance level (0.05), we can reject the null hypothesis.

(h) Therefore, we can conclude that less than 70% of students run one mile in less than 10 minutes.

Step-by-step explanation:

7 0
3 years ago
Arrange the following numbers from smallest to largest: 3.04, 3<br> 10<br> 3.024
andre [41]

Answer:

3, 3.024, 3.04, 10

I'm sorry if I misunderstood.

Good luck mate! :)

Please add Brainliest if you'd like, not that it matters.

Remember to try your best every day!

8 0
3 years ago
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