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Kay [80]
3 years ago
10

During battling practice, two pop flies are hit from the same location, 2s apart the paths are modeled by the equations h equal

negative 16t squared + 56t and h = -16t + 156t - 248 where t is the time that has passed since the first ball was hit
Mathematics
1 answer:
Oliga [24]3 years ago
3 0

Answer:

Step-by-step explanation:

To find the time at which both balls are at the same height, set the equations equal to each other then solve for t.

h = -16t^2 + 56t

h = -16t^2 + 156t - 248

-16t^2 + 56t = -16t^2 + 156t - 248

You can cancel out the -16t^2's to get

56t = 156t - 248

=> 0 = 100t - 248

=> 248 = 100t

=> 2.48 = t

Using this time value, plug into either equation to find the height.

h = 16(2.48)^2 + 56(2.48)

Final answer:

h = 40.4736

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So exactly it would be 39.48, but do you want me to round to a specific ten?
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3 years ago
What direction does the line go?
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3 0
4 years ago
Please solve the following question.
insens350 [35]

The confidence interval for the difference p1 - p2 of the population proportion is (0.063, 0.329)

<h3>How to determine the confidence interval?</h3>

The given parameters are:

n₁ = 93; n₂ = 80

p₁ = 0.814;  p₂ = 0.618

The critical value at 95% confidence interval is

z = ±1.96

So, we have:

CI = (p_1 - p_2) \pm z * \sqrt{\frac{p_1(1  - p_1}{n_1} + \frac{p_2(1 - p_2)}{n_2}}

Substitute known values in the above equation

CI = (0.814 - 0.618) \pm 1.96 * \sqrt{\frac{0.814 * (1  - 0.814)}{93} + \frac{0.618 * (1 - 0.618)}{80}}

Evaluate

CI = 0.196 \pm 1.96 * \sqrt{0.001628 + 0.00295095}

This gives

CI = 0.196 ± 0.133

Expand

CI = (0.196 - 0.133, 0.196 + 0.133)

Evaluate

CI = (0.063, 0.329)

Hence, the confidence interval is (0.063, 0.329)

Read more about confidence interval at:

brainly.com/question/15712887

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7 0
2 years ago
Rectangle with a side length of 11" and a diagonal of 14" what is the perimeter
notka56 [123]

Answer:

10sqrt3+22

Step-by-step explanation:

Ok, let us imagine it as a sort of rectangle split upon its diagonal.

Using that, we can Pythag it out,

11^2+b^2=14^2

121+b^2=196

b^2=75

b=sqrt75

b=5sqrt3

Ok, using this info, we find the perimeter,

5sqrt3+5sqrt3+11+11

10sqrt3+22

The answer is 10sqrt3+22

7 0
3 years ago
Read 2 more answers
A circle is placed in a square with a side length of 16 ft , as shown below. Find the area of the shaded region.
Luda [366]

Answer:

55.04 ft²

Step-by-step explanation:

Calculate the area of the square, the area of the circle, then subtract the area of the circle from the area of the square.

Area of square = 16 x 16 = 256 ft²

Area of circle = \pir²

radius = 16 ÷ 2 = 8

⇒ Area of circle = 3.14 x 8² = 200.96 ft²

Shaded area = 256 - 200.96 = 55.04 ft²

7 0
2 years ago
Read 2 more answers
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