Natalie found a tennis ball outside a tennis court. She picked up the ball and threw it over the 12-foot fence into the court. The height of the ball, h, and time t seconds is given by the equations h(t) = -16t^2 + 18t +5. Will she make it iver the fence?

Answers

Answer 1

Answer:

Natalie cannot make it over the fence.

Step-by-step explanation:

After reading the statement, we must demostrate if the following inequation is possible, that is:

[tex]-16\cdot t^{2}+18\cdot t+5 \ge 12[/tex]

After some algebraic handling we find this equivalent expression:

[tex]16\cdot t^{2}-18\cdot t +7\le 0[/tex] (1)

The polynomial is factorized by the Quadratic Formula:

[tex]\left(t-0.563-i\,0.348)\cdot (t-0.563+i\,0.348)\le 0[/tex]

Since all roots are complex, we conclude that Natalie cannot make it over the fence.


Related Questions

PLEASE HELP ME I NEED THE ANSWER ASAP THANK YOU SO MUCH!!

Answers

dark blue is the answer

(3,1) is the answer

Rewrite the equation C = 2nr to show the expression that can be used to find the value of r.

Answers

The process is:

C = 2nr

2nr = c

r (2n) = c

[tex]r = \frac{c}{2n} [/tex]

That's the answer☝️☝️☝️☝️

or maybe this one

r = 2n + c

sorry, I'm unsure, it has been too long since I studied that...

Answer:

C = 2nr

you divide by 2n both sides

that means C/2n = 2nr/2n

after that you simplify then it will be C/2n = r

r = C/2n

What is the relationship between two coplanar lines that are perpendicular to the same line?

Answers

Answer:

If two lines are perpendicular to the same line, then the two lines are parallel, and if two lines are parallel, then their slopes are equal

Step-by-step explanation:

Answer:

I'm sorry for this but I'll help you if you help me?

Write an equation for the lines shown.

Answers

Black line: y=-3x+2

Blue line:  y=-3x+8

Answer:

blue line: y=3/-1x+8

black line: y=3/1x+2

Step-by-step explanation:

I WILL GIVE BRAINILEST AND 5 STAFS IF CORRECT

Use the expression 9(7 + 2x) to answer the following:

Part A: Describe the two factors in this expression. (4 points)

Part B: How many terms are in each factor of this expression? (4 points)

Part C: What is the coefficient of the variable term? (2 points)

Answers

Answer:

Part A: Describe the two factors in this expression. (4 points) The factors are (1) the constant coefficient 9 and (2) the binomial (7+2x).

Part B: How many terms are in each factor of this expression? (4 points) The first factor (multiplicand), 9, has one term. The second factor (multiplicand), (7+2x), has two terms (and is thus called a binomial).

Part C: What is the coefficient of the variable term? (2 points) The only such coefficient is 2.

HELP!
Ella swims four times a week at her club’s pool. She swims the same number of laps on Monday, Wednesday, and Friday, and 15 laps on Saturday. She swims a total of 51 laps each week. Write an equation for the problem.

Answers

Answer: 3x + 15 = 51

x is the number of laps that she swims on Monday, Wednesday, and Friday. Since she swims the same amount, we can multiply x by three. Since Saturday  gives us an explicit answer, we can just add that to the equation.

Hope this helps :)

472 students are going on a field trip. 120 students will be returning home and the rest will be spending the night in cabins. If 8 people can sleep in one cabin, how many cabins need to be rented for the students?

Answers

470 kids went on the trip, and 120 students returned home, the total of kids staying is 350.

One cabin= 8 students

The equation i came up with is 350/8 = 43.75

They need 44 cabins to fit all the kids

What is X 15x - 7 + 8 - 6x

Answers

15x-7+8-6x
=15x-6x-7+8
=8x+1

HELP!!!

18. A storage facility has small units designed to hold 40 - 50 large boxes, a large box on average weighs 85 lbs. On average, if someone fills the container to capacity, how much will all the boxes they store weigh?
a. 3400 lbs
b. 4250 lbs
c. 4175 lbs
d. 3825 lbs

Answers

Answer:

All the boxes in the store will weigh b. 4,250 lbs.

Step-by-step explanation:

Well, we know that the storage facility can hold a maximum of 50 large boxes, each weighing about 85 pounds.

85 x 50 = 4,250

Therefore, all the boxes in the store will weigh b. 4,250 lbs.

Hope this helps! :D

The answer will most likely be d I did the math and that’s what I got

Please help I just relized that my dumb self waited 35 min for her science class to start but the class didnt start bc i missed math so i need to do thisss nowww my mother is so strictttt

Answers

it do be 1/4 tho not gonna lie

10) Joe took a taxi from his home to the airport. The taxi driver charged an initial fee of $8 plus
$4 per mile. The total fare was $48, not including tip. How many miles did Joe travel by taxi on
this ride?

Answers

10 miles I believe

I hope this helps :)

Quick I need the answer

Answers

Answer:

x = 25!

Hope This Helps!


Dan eats of a pizza.
2
Rachel eats another of the pizza.
What fraction of the pizza was eaten?

Answers

the answer is 3/5 on slime

I WILL GIVE BRAINLIEST!!!!
The following figures give the distribution of land (in acres) for a county containing 67,000 acres. Identify each category on the circle graph. Land Use Acres Relative Frequency Forest 10,050 0.15 Farm 6700 0.10 Urban 50,250 0.75 A circle graph titled Land Use. Blue is about 75 percent; green, 15 percent; red, 10 percent. a. Farm - Blue - 75% Forest -Green - 15% Urban - Red - 10% c. Forest - Blue - 75% Urban - Green - 15% Farm - Red - 10% b. Urban - Blue - 75% Forest - Green - 15% Farm - Red - 10% d. Forest - Blue - 75% Farm - Green - 15% Urban - Red - 10% Please select the best answer from the choices provided A B C D

Answers

Answer:

c

Step-by-step explanation:

its c on edge

due in 30 min! Order the Angles from LEAST TO GREATEST
B, C, A


A, C, B


A, B, C


B, A, C


C, B, A


C, A, B

Answers

Answer:

Pretty sure it's C, A, B

Step-by-step explanation:

En una panadería se elaboraron 140 panes diarios, el 25% son conchas, 10% cortadillos, 40% donas y 25% bolillos. Cada pieza de pan tiene un costo de $8 pesos. ¿Cuanta ganancia se obtuvo en la venta de donas?, ¿Y cuanta ganancia se obtuvo en la venta de bolillos ?

Answers

Answer:

Se obtuvo $ 448 de ganancia por la venta de donas.

Se obtuvo $ 280 de ganancia por la venta de bolillos.

Step-by-step explanation:

1) ¿Cuanta ganancia se obtuvo en la venta de donas?

La ganancia es el producto del porcentaje producido de donas, expresado como razón, el precio unitario de la dona y el total producido de panes. Es decir:

[tex]C = \frac{40\,donas}{100\,panes}\times (140\,panes)\times \left(8\,\frac{USD}{dona} \right)[/tex]

[tex]C = 448\,USD[/tex]

Se obtuvo $ 448 de ganancia por la venta de donas.

2) ¿Cuanta ganancia se obtuvo en la venta de bolillos?

La ganancia es el producto del porcentaje producido de bolillos, expresado como razón, el precio unitario del bolillo y el total producido de panes. Es decir:

[tex]C = \frac{25\,bolillos}{100\,panes}\times (140\,panes)\times \left(8\,\frac{USD}{bolillo}\right)[/tex]

[tex]C = 280\,USD[/tex]

Se obtuvo $ 280 de ganancia por la venta de bolillos.

In this exercise we have to use the knowledge of finance to calculate the profit.

1) $ 448 profit was made from donut sales.

2) A profit of $ 280 was obtained from the sale of cupcake.

1)The profit is the product of the percentage produced of donuts, expressed as a ratio, the unit price of the donut and the total produced of breads. That is to say:

[tex]C= (\frac{40}{100} )*(140)*(8)= 448 USD[/tex]

$ 448 profit was made from donut sales.

2) The profit is the product of the percentage of cupcake produced, expressed as a ratio, the unit price of the cupcake and the total amount of bread produced. That is to say:

[tex]C= (\frac{25}{100}) *(140)*(8)= 280 USD[/tex]

A profit of $ 280 was obtained from the sale of cupcake.

See more about finances at brainly.com/question/16520540

Which is the better deal: $3.15 for 10 apples or $4.10 for 11 apples?

Answers

Answer:

3.15 for 10 is the better deal

Step-by-step explanation:

This is because $3.15 for 10 apples is worth 32 cents per apple. On the other hand, $4.10 for 11 apples is worth 37 cents per apple. And even though you're getting more apples it is costing you more per apple.

Negative 1.5 (4 minus r) = negative 12

Answers

Answer:

r = - 4

Step-by-step explanation:

Given

- 1.5(4 - r) = - 12 ( divide both sides by - 1.5 )

4 - r = 8 ( subtract 4 from both sides )

- r = 4 ( multiply both sides by - 1 )

r = - 4

Answer:

12

Step-by-step explanation:

1.5(4-r) = -12

To solve, first multiply 4-r by 1.5. When you do this, you can then simplify the expression and write it as 6-1.5r=-12.

With the simplified expression, you can solve for r.

Subtract 6 from both sides then divide by -1.5.

-1.5r=-18

r=12

PLEASE HELP FIRST ANSWER GETS BRAINLIEST. is this a plant cell or animal cell?​

Answers

Answer:

I am pretty sure that is a plant cell

Step-by-step explanation:

Choose the correct answer and rationale. “The prices listed on retail websites...”
a.
...are open to negotiation, because you can email the company.
b.
...are reliable, because you have proof of the advertised price.
c.
...are unreliable, because internet commerce does not have the same regulations as normal commerce.
d.
...are often below the total cost, because they usually do not include shipping charges.

Answers

Answer:

Step-by-step explanation:

D

Answer:

D

Step-by-step explanation:

EDGE 2021

Mary bought these art supplies: 4 paint brushes at $1.29 each, 6 dowel rods at $1.49 each, a jar of paste at $1.25, and 2 canvases at $6.00 each. How much change did she get from $40?


A. $8.25


B. $9.35


C. $10.45


D. $12.65
I'll give brainliest!

Answers

Answer: The answer is D.

Step-by-step explanation:

Multiply the art supplies with their assigned prices, then combine like terms.

The answer is D


Explanation:

1.29 times 4 is 5.16 1.49 times 6 is 8.94 and 6.00 times 2 is 12.00. Add those together including 1.25 and you are going to get 27.35 then you subtract that from 40.00

Devon is saving money for a ski trip. He has already saved $62.50, but his goal is to save at least $100. What is the least amount Devon needs to save to reach his goal? Let m= money:

Answers

Answer:

Step-by-step explanation:

You have to divide 100 by 62.50= m answer

If f(x) = x^5 - 1, g(x) = 5x, and h(x) = 2x, which expression is
O 2(5(95-1))
O 2(593– 1)
O 5((2-9)- 1)2
O (5(2 9)5-1

please hurry ! will mark as brainly

Answers

The answer is 5(2-9)-1)2

Please help i'l Gove you brainiest

Answers

Answer:

B.Plot a point at the slope

Step-by-step explanation:

Find the rule, and type the missing number in the sequence. 920, 855, 790, ____

Answers

It’s “725”, just subtract it by 65..
It’s 725,just by subtracting it by 65...

Can someone help me please

Answers

Answer:

B

Step-by-step explanation:

210/3.5=60 60*8.5=510 Add the first fence post to get 518.50

Answer:

B

Step-by-step explanation:

✨Hope it helps✨

45 points I will give BRAINLIEST! I give stars to! First place gets Brainlest, 5 stars, and a heart! Second place gets 4 stars and a heart! But it has to be right or you won't get anything.

Write the percent as a fraction in simplest form and as a decimal. 23.5%
The fraction is
The decimal is

Answers

Answer:

Fraction:  47/200

Decimal: 0.235

Step-by-step explanation:

Answer:

fraction is 47/200

decimal is 0.235

Step-by-step explanation:

sorry i forgot to add a couple numbers i was in a rush

Based on the given figure, determine the angles that show congruent alternate exterior angles

Answers

Answer:

Angle 1 and angle 8

Angle 2 and angle 7

Step-by-step explanation:

Alternate exterior angles are angles positioned alternating each other along the transversal, where both angles are found outside the two parallel lines cut across by the transversal.

Thus from the diagram given, the following are alternate exterior angles that are congruent:

Angle 1 and angle 8

Angle 2 and angle 7

PLEASE HELP ME

ILL GIVE YOU BRAINIEST

PLEASE ASAP

Answers

Answer:

b

Step-by-step explanation:

please help I am timed!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Option 3

Step-by-step explanation:

If you get more of these just now that a y value of a graph in this case -2, will be outside of the radical or else it would start at 2 and keep going right above 0 due to the radical.

Answer:

the answer is C

Step-by-step explanation:

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