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Finger [1]
2 years ago
10

If an object is dropped from a height of 144 feet, the function gives the height of the object after t seconds. When will the ob

ject hit the ground?
Mathematics
1 answer:
IgorC [24]2 years ago
7 0
A=-32  (acceleration is the constant g)  integrating with respect to t

v=-32t+vi  but initial velocity is equal to zero as it is just "dropped".

h=-32t^2/2+hi, since the initial height is 144 ft

h(t)=-16t^2+144

The object will be at the ground when h(t)=0

-16t^2+144

-16(t^2-9)=0  

-16(t+3)(t-3)=0, but since we know t>0

t=3 seconds.
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6 0
1 year ago
2.
scZoUnD [109]

Inversely proportional : it is relationship between two variables in which when one variable's value is increasing than other one is decreasing.

Situation A : The number of miles Rashid drives increases over a period of 5 hours.

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in next two situation , two variables are increasing with each other.

so we take last situation ↓

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4 0
3 years ago
A regional planner employed by a public university is studying the demographics of nine counties in the eastern region of an Atl
Brilliant_brown [7]

Answer:

Step-by-step explanation:

Hello!

Given the variables:

X₁: Median Age

X₂: Median Income

b) Considering it from a logical point of view, income changes with age, for example, the more experienced the worker is you would think he would get a better paying job than a younger worker who is just starting. Then the dependent variable will be the median income and the independent variable will be the median age.

a)  and c)

To see if there is a linear regression between the median income and median age you have to conduct a hypothesis test for the slope. If the slope is equal to zero, there is no linear regression between the two variables, if it is different to zero, there is a regression between the two of them:

H₀: β=0

H₁: β≠0

α: 0.05

t= \frac{b-\beta }{Sb} ~~t_{n-2}

The estimated regression equation for this regression ^Yi= 20.01 + 0.50X

The standard deviation for the slope is Sb= 0.11

t_{H_0}= \frac{0.50-0}{0.11} = 4.545

And the p-value for the test is 0.0022

The p-value is less than the level of significance I choose, so the decision is to reject the null hypothesis. You can conclude that there is a linear regression between these two variables.

The correlation coefficient between the median income and the median age is r= 0.87 ⇒ This means you could expect a positive and strong linear correlation between the two variables.

d)

The slope represents how much the variable Y is modified whenever the variable X increases one unit.

In this example: Is the modification of the population mean of the median income, when the median age increases one year.

5 0
3 years ago
what is area of the triangle in a coordinate plane. a 9.0. b 14.0 c16.5. d 24.5 ​
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Answer:

<h2>c. 16.5</h2>

Step-by-step explanation:

It's the right triangle.

The formula of an area of a right triangle:

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Look at the picture.

We have

leg=3,\ leg=11

Substitute:

A=\dfrac{(3)(11)}{2}=\dfrac{33}{2}=16.5

4 0
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<span>B) Mike does not have enough money budgeted for food or medical expenses.</span>
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