Y=-16t^2+8t
the function represents the height y (in feet) of a grasshopper jumping straight up from the ground t seconds after the start of the jump.

After how many seconds is the grasshopper 1 foot off the ground

The grasshopper is 1 foot off the ground after ___ seconds

Answers

Answer 1

Answer:

1/4th of a second, or .25 seconds

Step-by-step explanation:

graphed it.

Answer 2

The grasshopper is 1 foot off the ground after 0.25 seconds.

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

The given function is,

f(t) = -16t² + 8t

This represents the height y (in feet) of a grasshopper jumping straight up from the ground t seconds after the start of the jump.

We have to calculate the time t when f(t) = 1 foot.

-16t² + 8t = 1

-16t² + 8t - 1 = 0

This is a quadratic equation.

Solve using quadratic formula.

Discriminant = [tex]\sqrt{8^2-(4*-16*-1)}[/tex] = 0

t = (-8 ± 0) / (2 × -16) = -8/-32 = 0.25

Hence the time is 0.25 seconds when the grasshopper is at 1 foot.

Hence the grasshopper will be at 1 foot from the ground in 0.25 seconds.

Learn more about Quadratic Functions here :

https://brainly.com/question/11540485

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Related Questions

Select all fractions equivalent to 3/12 .
A.1/2

B.6/12

C.6/24

D.1/4

"(help me)"

Answers

Answer:

Option D 1/4 is the correct answer.

I think it will help you.

Answer:

the answer is C.) 6/24 i hope that helps

Mr. Jackson orders lunches to be delivered to his workplace for himself and some coworkers. The cost of each lunch is `\$6.25`. There is also a one-time delivery fee of `\$3.50` to deliver the lunches. What expression could Mr. Jackson use to find the cost of ordering `n` lunches?

Answers

Answer:

$6.25n+$3.50

Step-by-step explanation:

 Solve;

Assume the cost is y

then y = 6.25n + 3.50 ($)

{6.25n is the cost of n lunches and 3.50 is the delivery fee}

[RevyBreeze]

Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9. 955% annually. Which, if any, of the following loans meet Melanie’s criteria? Loan A: 9. 265% nominal rate, compounded weekly Loan B: 9. 442% nominal rate, compounded monthly Loan C: 9. 719% nominal rate, compounded quarterly a. B only b. A and C c. A and B d. None of these fit Melanie’s criteria. Please select the best answer from the choices provided A B C D.

Answers

Melanie should take A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

What options Melanie should choose for the best deal?

It is given that

Loan A: 9.265% nominal rate, compounded weekly

In order to find the easiest effective rate, we need to divide this rate by 52 (which are the weeks in a year). Once we do that, we convert this effective weekly rate into an effective annual rate. Let´s walk you through all this.

[tex]r(Eweek)=\dfrac{0.09265}{52} =0.00178173[/tex]

Or 0.178173% effective weekly. Now we can transform it into an effective annual rate.

[tex]r(e,a)=1+(r(e.week))^{52} -1[/tex]

[tex]r(e,a)=1+(0.00178173)^{52} -1=0.09699[/tex]

Or 9.669% annual, which is less than 9.955%, so this one is selected, let´s check the next.

Loan B: 9.442% nominal rate, compounded monthly

Just like we did with Loan A, we need to divide this rate too, only this time, we will divide by 12, therefore obtaining an effective monthly rate.

[tex]r(Emonth)=\dfrac{0.09442}{12} =0.00786833[/tex]

Or 0.786833% effective monthly, let´s turn it into an effective annual rate.

[tex]r(e,a)=1+(r(e.month))^{12} -1[/tex]

[tex]r(e,a)=1+(0.00786833))^{12} -1=0.09862[/tex]

Or 9.862% annual, so this rate would work for Melanie too. This means that option C) is the answer we are looking for but, let´s walk that extra mile and turn that Loan C rate into an annual rate.

[tex]r(Eweek)=\dfrac{0.09719}{4} =0.0242975[/tex]

or 2.42975% effective quarterly, now, let´s convert it into an effective annual rate.

[tex]r(e,a)=1+(0.0 242975))^{12} -1=0.010079[/tex]

That is 10.079% effective annual, therefore, Loan C is not an option for Melanie.

Thus Melanie should take A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

To know more about Compound interest follow

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Graph it y=1/2x+8\\5x+2y=-8[/tex]

Answers

Answer: ITS IS THIS or that i dont know what you mean.

Step-by-step explanation: Is this what you're looking for? if you were paying attention you would've KNOWN SO NExt time PAY ATTENTION BUT GOOD LUCK

Answer:

(0,8), (8,-1)

Step-by-step explanation:

Three side lengths of 5.2 cm, 6.3 cm and 10.5 cm will form exactly one unique triangle.
O True
O False

Answers

True, the three sides will form exactly one unique triangle.

What is a triangle?

A triangle is three dimensional shape, whose third length is less than the sum of the first and second length.

let the first length = alet the second length = blet the third length = k

(b - a) < k < (b + a)

(6.3 cm - 5.2 cm) < k (6.3 cm + 5.2 cm)

1.1 cm < k < 11.5 cm

The third length = 10.5 cm which is greater than 1.1 cm and less than 11.5 cm.

Thus, the three sides will form exactly one unique triangle.

Learn more about conditions of a triangle here: https://brainly.com/question/22674890

The volume of a different right cylinder is 7, 4481 cubic centimeters. The diameter of the base of the
cylinder is 28 centimeters. What is the height, in centimeters, of the cylinder?

Answers

Answer:

120.96

Step-by-step explanation:

v = pi × R squared × hight

it's like when

14=2×7

14÷2=7

you turn the equation

HELLP PLEASE I NEED IT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The ordered pairs for two points are listed in the table. What is the equation, in slope-intercept form, of the line that contains these points?

A. y = -6x + 2
B. y = -6x - 2
C. y = -2x + 6
D. y = -2x - 6

Answers

The answer is D try substituting the values of x and y and it will prove that it is correct

The ordered pairs for two points are listed in the table. What is the equation, in slope-intercept form, of the line that contains these points?

A. y = -6x + 2

B. y = -6x - 2

C. y = -2x + 6

D. y = -2x - 6 ✓

A. y = -6x + 2

putting the value of x & y as 3 & -12-12 = -6 x 3 +2 -12 ≠ -16

B. y = -6x - 2

putting the value of x as 3 & y as -12-12 = -6 x 3 -2-12 ≠ -20

C. y = -2x + 6

putting the value of x as 3 & y as -12-12 = -2 x 3 + 6-12 ≠ 0

D. y = -2x - 6✓

putting the value of x as 3 & y as &12-12 = -2 x 3 -6-12 = -6-6-12 = -6

What is the value of t?

Answers

Since the big angle is equal to 77 deg. That makes the other angle equal to 77. So 77-32 is equal to 45 making t=45

A movie which ended at 8:15 p. M. Lasted for 3 hours and 40 minutes. At what time did the movie begin

Answers

Answer:4:35pm!

Step-by-step explanation:

Answer:

4:35 pm

Step-by-step explanation:

We are given the time that a movie ends, the duration of the movie, and we are asked to find the start time. Therefore, we just need to subtract the duration from the end time, and we'll have the start time.

First, we subtract the 3 hours from 8:15 pm, and that is 5:15.

*Remember that the minutes counter resets at 60*

Then we just subtract the 40 minutes, which means we end at 4:35.

Five friends—Allison, Beth, Carol, Diane, and Evelyn— have identical calculators and are studying for a statistics exam. They set their calculators down in a pile before taking a study break and then pick them up in random order when they return from the break. What is the probability that at least one of the five gets her own calculator?

Answers

Answer:

20%

Step-by-step explanation:

this is because that 1 in 5 is equal to 20%

A farm produces 35,000 kg of mangoes. They sell the mangoes in boxes of 5kg to the supermarkets. How many boxes can they make ?

Answers

Answer:

  7000 boxes

Step-by-step explanation:

The number of boxes can be found by dividing the total quantity by the quantity in each box.

  (35000 kg)/(5 kg/box) = 7000 boxes

The farm can fill 7000 boxes with their produce of mangoes.

What is the positive solution for the equation: x2−8x=9

Answers

Answer:

3.33..

Step-by-step explanation:

x2-8x=9

x-6x=9

-5x=9

x=-5/9

(-5/9)(2)-8(-5/9)=3.33.. (3 and 1/3)

Answer:

x = 9

Step-by-step explanation:

x² - 8x = 9

x² - 8x - 9 = 0

(x - 9)×(x + 1) = 0

x = 9 or x = -1

Positive solution : x = 9

tell which is greater 12/5 or 245%

Answers

Answer:

245% is greater

Step-by-step explanation:

12÷5=2 R2

2÷5=0.4

2.4=240%

240<245

5 3/4- 2 1/4 as a fraction please help my maths go work is due tomorrow

Answers

Answer:14/4

Step-by-step explanation:5 3/4 - 2 1/4 = 3 2/4 = 14/4

a) find the measure of arc AB
b)find angle measure APC

Answers

Answer:

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

arc AB = 43/100 x 360 ≈ 155

18/100 x 360 ≈  155 = 65

Section 1: Interests What job (career) interests you? Why does this job (career) interest you? What specifics do you like about it? Explain.

Section 2: Skills What technical (hard) skills are related to this career? What are some personal/creative (soft) skills that are related to this career? Explain.

Section 3: Connecting to the Career From the skills listed in section 2 what technical skills do you already have? How do you plan on improving the technical skills you do not have or the skills that need to be improved? Explain.


please help if u can answer this right i will give braniest ​

Answers

Answer:

The 7 Soft Skills You Need in Today's Workforce

Leadership Skills. Companies want employees who can supervise and direct other workers. ...

Teamwork. ...

Communication Skills. ...

Problem-Solving Skills. ...

Work Ethic. ...

Flexibility/Adaptability. ...

Interpersonal Skills.

Step-by-step explanation:

Given the function what are the following values?

Answers

Answer:

25

36

0

100

Step-by-step explanation:

square the number in the parenthesis

Consider the inequality 2y > 18.8.

Which of the following values make this inequality true? Select all that apply.

8.2
9.4
11
12.5
10.6

Answers

Answer:

11, 12.5, 10.6

Step-by-step explanation:

2y > 18.8

y > 9.4

given values which are true :-

11, 12.5, 10.6

To solve this, We need to solve the equation with each given value of y

y = 8.2

[tex] \sf \: 2y > 18.8 \\ \sf \: 2 \times 8.2 > 18.8 \\ \sf16.4 > 18.8 \\ \boxed{ \tt \: false}[/tex]

y = 9.4

[tex] \sf \: 2y > 18.8 \\ \sf \: 2 \times 9.4 > 18.8 \\ \sf18.8 > 18.8 \\ \boxed{ \tt \: false}[/tex]

y = 11

[tex] \sf \: 2y > 18.8 \\ \sf \: 2 \times 11 > 18.8 \\ \sf22 > 18.8 \\ \boxed{ \tt \: true}[/tex]

y = 12.5

[tex] \sf \: 2y > 18.8 \\ \sf \: 2 \times 12.5 > 18.8 \\ \sf25> 18.8 \\ \boxed{ \tt \: true}[/tex]

y = 10.6

[tex] \sf \: 2y > 18.8 \\ \sf \: 2 \times 10.6> 18.8 \\ \sf21.2> 18.8 \\ \boxed{ \tt \: true}[/tex]

Thus, Options C, D and E are correct!!~

i dont know how to find the answer

Answers

Answer:

a rotation followed by a translation

Step-by-step explanation:

i took the class last trimester

Which one is right triangle angle
a. 45, 55 and 35
b. 52, 48 and 20​

Answers

option b. 52, 48 and 20

Step-by-step explanation:

let's solve:-

To test whether given this triangle is right triangle or not, we can use the Pythagorean Theorem .

soo

Pythagorean Theorem=

[tex]\bold \green{(leg1)^{2} +(leg2)^{2} =(hypotenuse)^{2} }[/tex]

_____________________________________

Here:-

[tex]\bold \blue{leg \: 1 = 48} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \bold \blue{ leg2 = 20} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \bold\blue{hypotenuse = 52}[/tex]

Putting values:-

[tex] {48}^{2} + {20}^{2} = {52}^{2} \: \: \: \: \: \: \\ \\ 2304 + 400 = 2704 \\ \\ 2704 = 2704 \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

_____________________________________

Solve the following system of equations

3x+2y=1
Y=x-2

Answers

Answer:

X=1

Y=-1

Step-by-step explanation:

Y=X-2

3X+2(X-2)=1

3X+2X-4=1

5X-4+1

5X=1+4

5X=5

X=1(5/5)

Y=X-2

Y=1-2

Y=-1

Divide 2/9 by 2/4. I need this answer asap.

Answers

Answer:

The answer is 4/9

Step-by-step explanation:

On dividing 2/9 by 2/4, we multiply [tex]\frac{2}{9}[/tex] with the reciprocal of [tex]\frac{2}{4}[/tex].

= [tex]\frac{2}{9}[/tex] × [tex]\frac{4}{2}[/tex] = 4/9

Write 7+3 as a difference.

Answers

Answer:

∣x−y∣=4

Solution:

∣x−y∣

=∣7−3∣

=∣4∣=4

how many square feet of out door carpet will we need for this hole​

Answers

Answer:

12ft² + 12ft² = 24ft²

Step-by-step explanation:

Pls, choose me as brainliest!

Write and solve the equation to find the value of x below.

Answers

Answer:

7x + 10 = 150

-10           -10

7x = 140

/7      /7

x = 20 degrees

A right cubic prism has edges of 212 inches. How many cubes with side lengths of 12 inches would be needed to fill the prism?

Answers

Answer:

the answer should be 15.625

Step-by-step explanation:

which pair of ratios will make a proportion ?

Answers

Answer:

B. 3/5 and 9/15

Step-by-step explanation:

When looking for a proportion, you must look at a ratio that equals the same like:

1/2 = 2/4

You could see that I would just have to multiply or divide the numbers by 2.

So, that means they doubled.

3/5 = 9/15

How would you get 9 from 3? You would multiply by 3 to get 9.

Therefore, to check if it is a proportion, multiply with the same number you used to multiply the first number, which would be 3.

5 × 3 = 15.

Since 15 is written in the ratio, B would be the correct answer.

Therefore, B is the Correct Answer.

-kiniwih426

36 people pay a total of 1936 to visit the theatre. If each person pays the
same amount, how much does each person pay?

Answers

Answer:

53.78

Step-by-step explanation:

[tex] \frac{1936}{36} = 53.777778 \\ = 53.78[/tex]

(Please someone help me!) (No links!)

Answers

Answer:

1

Step-by-step explanation:

it is 4/4 probability, which is equal to a whole (1)

21/10 divided by 3/4 as a fraction

Answers

Answer:

5/14

Step-by-step explanation:

hope this helps

Other Questions
A car accelerates on a horizontal surface, with friction, over a distance. Which equation is equal to the work done by the engine of the car?A. (change in kinetic energy of the car) + (frictional force) (distance) B. (change in kinetic energy of the car) - (friction energy) (distance) C. (change in momentum of the car) - (friction energy) (distance) D. (change in potential energy of the car) + ( frictional energy) (distance) identify the correct solution to the problem 3 x 9/10 please help i am very stressed :( Write a story to illustrate the saying."thos who live in a glass house should not throw stones " describe the roles of innovation and change to facilitate supply chain operation If the front of an active glacier is observed to be stationary, it is correct to infer that the ice in the glacier is 1: What function is the inverse of the exponential function y = 3?a) y=xb) y = 3c) y = log Xd) y = log 34: What is the best estimate of the value of in 16?a) 1.20b) 2.77c) 3.23d) 4.005: Which of the following logarithmic expression have been evaluated correctly? Select all that apply.a) In 1 = 0b) log 9 = 3c) log 1/100 = 1/2d) log (-1) = 1/3e) log 1/125 = -5 3) Which point is located at (6, 3)?A B C D Suppose you owe 10 dollars to a friend. Each week you pay your friend at least 1 dollar back. Sometimes however you might pay your friend back 2 dollars in a week and other times you might pay your friend 5 dollars in a week. How many different payment sequences are possible In the diagram of a polymer above , the repeating subunits are known as A) amino acids B) polysaccharides C) nucleotides D) fatty acids What direction does the magnetic needle of a compass point to?. NO LINKS!!! Part 11 How was Washington State impacted by the Civil Rights movement?A. Court cases led to the end of the state's laws.B. Businesses in Seattle prohibited African Americans from shopping in the area.C. There were legal challenges to the state's unfair housing practices.D. African Americans were subjected to new laws limiting their rights. An article is bought and sold with a profit of 25% of selling price.find the profit percent D1C. The measuD. The value of x is 30.16. In the figure below, lines A and B areparallel.AB.2523219622 The equation of a line is y + 4 = 6x + 13 What is the value of y at the point where the line crosses the y-axis? Consider the portrayal of Greenville in these three poems: greenville, south carolina, 1963, the cousins, andafter greenville #1.For Jacquelines mother, how is Greenville both a beautiful and difficult place to call home? Enter the following December 31 normal balances in the first row of T-accounts below: K. Korver, Capital $18,000; K. Korver, Withdrawals $2,000; Services Revenue $33,000; Salaries Expense $25,000; and Rent Expense $3,000. (1) Post closing entries to each account's T-account. (2) Compute the ending balance of each T-account, even if the final balance is $0. Geet sells television He earns a fixed amount for each television and an additional $30 if the buyer gets an extended warranty. If Geet sells 11 televisions with extended warranties, he earns $990. How much is the fixed amount Geet earns for each television? 1. Ideas often move from one place to another. In what ways did the Hippodrome inConstantinople reflect Roman influences? Provide details from the passage to supportyour answer.