A ball is hit into air at time t=0 seconds.its height above the ground is given by the equation h=25t-9.8t².what is the value of t when the ball lands on the ground?

Answers

Answer 1

Answer:

The ball lands on the ground at t=2.55 seconds

Step-by-step explanation:

Quadratic Equation

The following function models the height above the ground of a ball hit into the air at time t seconds:

[tex]h=25t-9.8t^2[/tex]

We need to find the value of t when the ball hits the ground.

At ground level, h is zero, thus:

[tex]25t-9.8t^2=0[/tex]

This is an incomplete quadratic equation that can be easily solved by factoring:

[tex]t(25-9.8t)=0[/tex]

There are two solutions:

t=0

t=25/9.8=2.55 s

The first solution corresponds to the moment when the ball is hit, and the second is when it returns to the ground, thus:

The ball lands on the ground at t=2.55 seconds


Related Questions

3x + 7 = 13 (x = -2; x = 2; x = 5)

Answers

Answer:

(x=2)

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

3(-2) + 7 = 1....its not this one because when we plug in -2 for x we get 1 not 13.

3(2) + 7 = 13...its this one because when we plug in 2 for x we get 13.

3(5) + 7 = 22...its not this one because when we plug in 5 for x we get 22 not 13.

hope this helps

UCF is a major Metropolitan University located in Orlando Florida. UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13). The Director of Institutional Research at UCF is interested in testing this information. She decides to conduct a survey of 50 randomly selected recent graduate economic students. The sample mean is $43,350 and the sample standard deviation is 15,000. Alpha = 0.01

Answers

Answer:

The claim is rejected

Step-by-step explanation:

Claim: UCF is advertising their bachelor in Economics with the statistic that the starting salary of a graduate with a bachelor in economics is $ 48,500 according to Payscale (2013-13).

Null hypothesis: [tex]H_0: \mu = 48500[/tex]

Alternate hypothesis :[tex]H_a : \mu \neq 48500[/tex]

n = 50

Since n is more than 30 .

So we will use Z test

x=43350

Standard deviation = 15000

[tex]Z=\frac{x-\mu}{\frac{s}{\sqrt{n}}}\\Z=\frac{43350-48500}{\frac{15000}{\sqrt{50}}}\\Z=-2.42[/tex]

Refer the z table

p value = 0.00776

[tex]\alpha = 0.01[/tex]

p value < [tex]\alpha[/tex]

So, We are failed to accept null hypothesis

Hence The claim is rejected

Calculate a point estimate of the mean pull-off force of all connectors in the population (Round the answer to four decimal places (e.g. 90.2353).) g

Answers

Answer:

The answer is "75.627"

Step-by-step explanation:

Please find the correct question in the attached file.

The mean displacement force among all connectors throughout the population calculates the point estimation.

[tex]\bold{ \bar x= \frac{\text{Sum of observation}}{\text{Amount of observations}}}[/tex]

   [tex]= \frac{1966.88}{26}\\\\=75.627[/tex]

Choose the fraction that goes in the blank 1/2< <4/5

Answers

Answer:

What are the answer choices?

Step-by-step explanation:

Choose a linear function for the line represented by the point-slope equation y - 5 = 3(x - 2)

A) f(x) = 3x + 1
B) f(x) = 3x - 1
C) f(x) = 8x + 10
D) f(x) = 8x - 10

Answers

your answer would be B

express the following into standard form
[tex] \frac{1}{3500000000} [/tex]

Answers

Answer:

350000

P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6P(-2,2), Q(4,2), R(2, -6), S(-4,-6

I am actually dumb just help me please

Answers

Answer:probably about 50 years

Step-by-step explanation:did for my family’s live oak

Hey I need help with this question:

6(x-3)^2-26 = 10

Answers

Answer:

x = 3 ±sqrt(6)

Step-by-step explanation:

6(x-3)^2-26 = 10

Add 26 to each side

6(x-3)^2-26+26 = 10+26

6(x-3)^2 = 36

Divide by 6

6/6(x-3)^2 = 36/6

(x-3)^2 = 6

Take the square root of each side

sqrt((x-3)^2) = ±sqrt(6)

x-3 =  ±sqrt(6)

Add 3 to each side

x-3+3 =3 ±sqrt(6)

x = 3 ±sqrt(6)

An ant crept to a hole, which was 210 cm away.
It crept 40 cm per minute, but the wind pushed
it back 5 cm every minute. How many minutes
will it take the ant to reach the hole?

Answers

Answer:

6 minutes

Step-by-step explanation:

The ant can crawl 40 cm per minute but is pushed back 5 cm every minute aswell. In total the ant will crawl 35 cm per minute (40 - 5 = 35).

In order to find how long it will take for the ant to reach the hole we divide 210 by 35 (210/35) to get the answer of 6, therefore it takes the ant 6 minutes to reach the hole.

3+2/3x=2/5 rewritten without fractions or decimals

Answers

The answer is
10x=-39

Answer:

its c

Step-by-step explanation:


- Karan has n chocolates. He gave his younger brother 5 chocolates and distributed the remaining is
equally between his friend and himself. How many chocolate did his friend get in terms of n?

Answers

Answer:

4 chocolates

Step-by-step explanation:

n-c

brother-5n

5n-n=4

=4

Karan will have 4 chocolate bars.

If the bother has 5, then that leaves the rest to be 12 which is evenly distributed among his friends

N=4

How much was the initial website fee? (from this equation)

Answers

Answer:

y= .75x + 3.75

Step-by-step explanation:

1. Distribute x:

Original Equation= y-2.25=.75(x-8)

So you just do .75 times x and .75 times -8= .75x - 6

2. Isolate the y Variable:

Add 2.25 to both sides. So -6 + 2.25= 3.75

Now you have left y= .75x + 3.75

In multiple regression analysis, the word linear in the term "general linear model" refers to the fact that β0, β1, . . ., βp all have exponents of a. at least 1. b. less than 0. c. 0. d. 1.

Answers

Answer:

d. 1

Step-by-step explanation:

it is called linear because β0, β1, . . ., βp all have their exponents to be 1. A multiple linear regression is a type of regression which has more than one independent variable. it tells us the existing relationship between 2 or more of these independent variables on the dependent variable. for it to be regarded to be linear, it is very important that the exponents be equal to 1. else it could be quadratic.

You are a business owner and you want to know if you have made a profit
for the month. You are given the following information:
1. The monthly salary of your employees is Php 10000.00 each and you
have 5 employees.
2. The store rent is Php 40,000.
3. Utilities expenses amount to Php 20,000.00
4. 200 pieces of your product were sold at Php 1000.00 each.
Questions: Did your business make a profit for the month? How much?
Why?
Pleae help PLEASE

Answers

Answer: Yes the business made a profit for the month. They made $90,000 net profit. They made a profit of $90,000 after all the taxes were deducted.

Step-by-step explanation: 200 times $1000 = $200,000. $200,000 - $50,000 = $150,000. $150,000 - $40,000 = $110,000. $110,000 - $20,000 = $90,000

Jamie borrowed $361.75 from his uncle,
who has agreed to charge him a monthly
simple interest rate of 2.5%. Jamie pays
his uncle back in 7 months.

Answers

Answer:

Jamie will pay back a total of 370.79

Step-by-step explanation:

361.75 x 1.025

Simple interest is not compounded so just multiply the borrowed amount by

1 + .025

He pays 370.28125.

What is Simple Interest?

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given:

Jamie borrowed =  $361.75

Simple interest = 2.5%

As, Simple interest is not compounded.

so,

361.75 x 1.025

=370.28125

Hence, he pays 370.28125.

Learn more about simple interest here:

https://brainly.com/question/25845758

#SPJ2

- 7/8 k = -21
Please show the steps... :(

Answers

Answer:

Your answer is: k = 24

Solve for  k  by simplifying both sides of the equation, then isolating the variable.

Step-by-step explanation:

Hope this helped : )

-7/8k = -21

Step 1: Multiply both sides by 8/(-7).

(8/-7) x -7/8k = -21 x (8/-7)

Answer= k = 24

solve the following equation 5+7=11+7

Answers

Answer:

The equation, 5+7=11+7 solved step by step is:

5 plus 7, which equals 12.

And then, 11 plus 7, which equals 18.

You put it all together, it turns into 12=18 which isn't true.

So, your problem is not real.

Step-by-step explanation:

Your question has no answer because the two sides aren't equal.

Hope this helped! :)

Which undefined geometric term is described as a two-dimensional set of points that has no beginning or end?

Answers

The answers is plane. A line is one dimensional.

1. What is the value of 125 - 34 + 7 x 3?
a.) 294
c. 112
b. 252
d. 70

Answers

Answer:

c

Step-by-step explanation

7x3=21

125-34=91

91+21=112

the answer for the problem is 112.

The Walt Disney Company, the production studio behind the Marvel Cinematic Universe, is trying to find the best release date for their new super hero movie. They are hesitating between the summer and winter holiday release, and they want to know if there is any difference between the earning potential during those seasons. The analytics division in the company examined a random sample of box-office data for movies released during the past 5 years in the USA and Canada and found that 53 out of 1252 movies with summer release date earned over 400 million dollars. They also counted that out of 544 movies released in the winter, 6 earned over 400 million dollars. Round all answers to four decimal places.


Over 400 million USD Under 400 million USD Total
Summer release 54 1252
Winter release 6 547
Total

Required:
a. What are the hypotheses for testing whether there is a significant difference in the proportion of movies who earn over 400 million dollars for the two release seasons?
b. Calculate the difference in the proportions of movies that earned over 400 million dollars.

Answers

Answer:

dont know..................

when writing fraction from a graph does the x axis number go on top or bottom​

Answers

Answer:

x ax-s can be horizontal and top

y axis is bottom

Step-by-step explanation:

y= -2x - 45. solve for x if y = -10

Answers

Answer:

-17.5

Step-by-step explanation:

-10 = -2x - 45

(add 45 on both sides)

35 = -2x

(divide both sides by -2)

x = -17.5

NEED ANSWER ASAP! !!!

Answers

I believe the answer to your question is hydrophilic.!

Turn 2 1/8 into an improper fraction. Explain your steps

Answers

Answer:

17/8

Step-by-step explanation:

2 1/8    multiply 2 times 8 and 1 which equals to 17/8. The whole number times the denominator plus the numerator basically.

Answer:

17/8

Step-by-step explanation:

8 x 2 = 16

16 + 1 = 17

Jenna must run a total of 12 miles on Monday.
Jenna ran 3 5/6 miles in morning and 4 1/12 miles in the afternoon.
How many miles does Jenna still need to run before the end of the day?
•1 9/12
•4 1/12
•7 11/12
•5 5/12

Answers

Jenna would need to fun 4 1/12 miles before the end of the day.
12-3 5/6= 8 1/6
8 1/6-4 1/12= 4 1/12

hope that helps!

What does ± mean in math?
I WILL MAKE YOU A BRAINLIEST AND YOU WILL RECEIVE 50 POINTS!!!

Answers

positive or negative

Find the measure of ZMLN
degrees. (Numbers only for your answer)

Answers

def not !!!!!!!!!!!!!!

The elevation of a sea animal is -20 what is elevations tat are greater than the elevation of the sea animal?

Answers

Answer:

20

Step-by-step explanation:

Answer:

-10, 0, 10, 20, 30, etc.

Step-by-step explanation:

There are multiple elevations greater than -20

If you add +10 you will get closer to the positives. Any positive is greater than -20, EVEN 0!

what is the answer for this -6+x=-11

Answers

Answer:

x = -5

Step-by-step explanation:

-6 + x = -11

x = -11 + 6

x = -5

Answer:

x=17

Step-by-step explanation:

17+ -6= 11

pls mark brainlest for real ('>')

g You measure 40 textbooks' weights, and find they have a mean weight of 73 ounces. Assume the population standard deviation is 11.7 ounces. Based on this, construct a 99% confidence interval for the true population mean textbook weight.

Answers

Answer:

The confidence interval is 73 ± 4.8

Step-by-step explanation:

Here, we want to construct a 99% confidence interval

Mathematically;

mean ± Z * S.D/√n

From the question

mean = 73

SD = 11.7 ounces

Z score = 2.576 for 99% Confidence interval

n = sample size = 40

Thus;

73 ± (2.576 * 11.7)/√40

73 ± 4.8

So the range of values are;

73 + 4.8 and 73-4.8

= 77.8 and 68.2

The lower boundary is 68.2

The upper boundary is 77.8

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