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Crazy boy [7]
4 years ago
10

With no air resistance, the time, t, it takes an object to fall h feet, can be determined by the equation t = square root of h/4

. What is the height when the time to reach the ground is 25 seconds?
Mathematics
1 answer:
34kurt4 years ago
4 0

Answer:

  10,000 ft

Step-by-step explanation:

We can solve the given relation for h:

  t=\dfrac{\sqrt{h}}{4}\\\\4t=\sqrt{h}\\\\h=16t^2

Putting t=25 into this formula, we get ...

  h = 16(25²) = 10,000

With no air resistance the object will take 25 seconds to fall from 10,000 feet.

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Figure ABCD is a square. Angle B measures 15 x minus 30 degrees. Find the value of x.
Yuliya22 [10]
A square has four 90° angles.  So:

15x-30=90  add 30 to both sides

15x=120  divide both sides by 15

x=8°
3 0
4 years ago
A new automated production process averages 1.4 breakdowns per day. Because of the cost associated with a breakdown, management
dalvyx [7]

Answer:

The required probability is 0.167

Step-by-step explanation:

Consider the provided information.

Let x be the number of breakdown per day.

A new automated production process averages 1.4 breakdowns per day.

λ=1.4

Probability of having three or more breakdowns during a day is:

P(x\geq 3)=1-[f(0)+f(1)+f(2)]

The Poisson probability function is: f(x)=\frac{\lambda^xe^{-\lambda}}{x!}

Therefore the required probability is:

P(x\geq 3)=1-[\frac{\left(1.4^{0}e^{-1.4}\right)}{0!}+\frac{\left(1.4^{1}e^{-1.4}\right)}{1!}+\frac{\left(1.4^{2}e^{-1.4}\right)}{2!}]

P(x\geq 3)\approx1-0.833

P(x\geq 3)=0.167

Hence, the required probability is 0.167

4 0
3 years ago
Write an expression using an expoent that is equivalent to 9x9x9x9x9x9x9.
dexar [7]

Answer:

try nine to the seventh power

Step-by-step explanation:

tell me if it works

4 0
3 years ago
In a certain population, body weights are normally distributed with a mean of 152 pounds 30) and a standard deviation of 26 poun
Paul [167]

We are given the following variables:

μ = the sample mean = 152 pounds

σ = the standard deviation = 26 pounds

x = the sample value we want to test = 180 pounds

n = the sample size = unknown

MOE = margin of error = 4% = 0.04

Confidence level = 96%

 

The first thing we can do is to find for the value of z using the formula:

z = (x – μ) / σ

z = (180 – 152) / 26

z = 1.0769 = 1.08

Since we are looking for the people who weigh more than 180 pounds, therefore this is a right tailed z test. The p value is:

p = 0.1401

 

Then we can use the formula below to solve for n:

n = z^2 * p * (1 – p) / (MOE)^2

n = 1.08^2 * 0.1401 * (1 – 0.1401) / (0.04)^2

n = 87.82 = 88

 

Therefore around 88 people must be surveyed.

8 0
3 years ago
Factor 125x9 64. (5x3 – 4)(25x6 20x3 16) (5x3 – 4)(25x3 20x3 16) (5x3 4)(25x6 – 20x3 16) (5x3 4)(25x3 – 20x3 16).
MatroZZZ [7]

The factorization of \rm 125x^9 + 64 is  \rm (5x^3 + 4)(25x^6 - 20x^3 +16).

<h3>Factorization;</h3>

Factorization is nothing but writing a number as the product of smaller numbers.

Given

Polynomial; \rm 125x^9 + 64

To find the factorization the polynomial equates the equation with zero following all the steps given below.

Then,

The factor of the polynomial is;

\rm= 125x^9 + 64\\\\= 125x^9 -100x^6+80x^3+100x^6-80x^3+64 \\\\ =5x^3(25x^6 - 20x^3 +16) +4(25x^6 - 20x^3 +16) \\\\=(5x^3 + 4)(25x^6 - 20x^3 +16)

Hence, the factorization of \rm 125x^9 + 64 is  \rm (5x^3 + 4)(25x^6 - 20x^3 +16).

To know more about factorization click the link given below.

brainly.com/question/17595467

3 0
2 years ago
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