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Gre4nikov [31]
3 years ago
14

After t seconds, a ball in the air from the ground level reaches a height of h feet given by the equation h= 144t-16t^2 . After

how many seconds will the ball hit the ground before rebounding?
Mathematics
1 answer:
Effectus [21]3 years ago
3 0
H=0
Therefore:
144t-16t²=0
t (144-16t)=0
We have two equations:
1)
t=0    (when the ball is released)
2)
144-16t=0
-16t=-144
t=-144 / -16=9  (this is the time )

Answer: the ball hit the ground in 9 s. 
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PROBLEM: Juan hires an electrician. Juan pays a one-time fee of $30. Juan also pays $45 for each hour the electrician works. A.
PolarNik [594]

Answer:

A: C=45h+30

B: C=$322.50

Step-by-step explanation:

A: We'll start with the equation for the total charge. Juan is saying he will pay a one time fee of $30, meaning there is 30 dollars added to what ever the hourly wage is. This can be represented by the +30. Now if "h" represents the variable for which the hourly wage will be calculated, and he pays $45 dollars per hour this will be represented as 45h. <em>As an example if I pay you 2 dollars per hour using the same variable "h", this would be represented as 2h. So if you worked for two hours you would get 4 dollars, this is proven by the fact the 2(2) (remeber im replacing the "h" with the hours you worked) obviously 2 times 2 is 4 proving my point. </em>This information will give you the equation you see above.

B: Onto solving for how much Juan will pay. Now you say youre supposed to have 9 answer but this can't be true. All you need to do is plug the hours given into "h" and solve the equation. It should look something like:

<u>C=45h+30</u>

<u>C=45(6.5)+30</u>

Im using a decimal because it should be clear 1/2=0.5

<u>C= 292.5+30</u>

45x6.5 always go with PEMDAS, we are multiplying first. Then add 292.5 plus 30

This results in the answer of:

<u>C=$322.50</u>

3 0
3 years ago
Which of the following statement is false?​
emmainna [20.7K]

Answer:

D.) rational numbers are associative under subtraction

Step-by-step explanation:

rational numbers are closed under subtraction

↳ TRUE

zero is the identity for addition of rational numbers

↳ TRUE

subtraction is the inverse of the addition

↳ TRUE

rational numbers are associative under subtraction

↳ FALSE

5 0
2 years ago
Solve for all solutions x2=29
Westkost [7]

Answer:

x=14.5

PLEASE MARK BRAINLIST!!

Step-by-step explanation:

2x=29

Divide by 2 on both sides:

x=14.5

5 0
3 years ago
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How are the measures of the angles of an equilateral triangle related?
mafiozo [28]
I believe the answer is B
4 0
3 years ago
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The temperature falls from 0 degrees to Negative 12 and one-fourth degrees in 3 and one-half hours. Which expression finds the c
ANEK [815]

Answer:

The expression used to find the change in temperature per hour is Algebraic expression

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

Step-by-step explanation:

A temperature falls from 0 to  - 12\dfrac{1}{4}     in     3\dfrac{1}{2} \ hours

Which expression finds the change in temperature per hour.

From the above given information;

The initial temperature is 0

The final temperature is  - 12\dfrac{1}{4}  

The change in temperature is \Delta T = T_2  -  T_1

\Delta  T = -12\dfrac{1}{4} -0

\Delta T = -12.25

Thus;

-12.25 ° = 3.5 hours

To find the change in x°   per hour; we have;

x°            = 1 hour

The expression used to find the change in temperature per hour is Algebraic expression

From above if we cross multiply ; we have;

(- 12.25° × 1 hour) = (x° × 3.5 hour)

Divide both sides by 3.5 hours; we have:

\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}

x° =  - 3.5

x° = - 3\dfrac{1}{2}

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

8 0
3 years ago
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