A man drops a ball from the top of a 300 foot cliff. The height of the falling ball is modeled
by h(t)=-16t2+300 where h is in feet and t is in seconds. How long does it take for the ball to be 44 feet above the ground?

Answers

Answer 1

Answer:

The ball reaches 44 ft above the ground after 4 sec.

Step-by-step explanation:

Set h(t)=-16t^2+300 equal to 44 feet and solve for time, t.  Indicate exponentiation with " ^ "

-16t^2 + 300 = 44 becomes

-16t^2 + 256 = 0, or 16t^2 = 256.  Then, taking the square root of both sides, we get:

4t = 16, or t = 4 sec.  The ball reaches 44 ft above the ground after 4 sec.

Answer 2

The ball will take 4 seconds.

What are quadratic equations?

A quadratic equation, or simply "quadratics," is a polynomial equation with a degree of two as its highest. This is how it is expressed:

a x² + b x + c = 0 where x is the unknown variable and the constant terms are a, b, and c.

Given equation of height h(t) = -16t² + 300...…..(1)

where h is height in feet and t is time in seconds,

and height at t = 0 is 300 feet

when ball is 44 feet above ground then time is,

put h = 44 in equation 1

44 = -16t² + 300

16t² = 300 - 44

t² = 256/16

t = √16

t = 4

Hence time taken by ball is 4 seconds.

Learn more about quadratic equations;

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Related Questions

Kate paid $34 for a dress that was on sale at 15% off. What was the original price for this dress?

Answers

Answer:

40

Step-by-step explanation:

Price x .85 (100-15%)=34

price=34/.85

price=40

How long will it take an investment of $400 earning 3% annual interest compounded monthly to triple in value?

Answers

Answer:

$12 is 3% of $400, triple the value is $1200, it would take 100 months, or 8 years

Which lists the fractions from least to greatest?
A.-1/3,-2/3,1/3
B.1/3,-1/3,-2/3
C.1/3,-2/3,1/3
D.-2/3,1/3,-1/3
E.-2/3,-1/3,1/3

Answers

Answer:

E

Step-by-step explanation:

Jane wants to pick out an outfit for the school dance . She can choose from 3 pairs of pants 5 shirts and 2 pairs of shoes . How many different outfits dose Jane have to choose from?

Answers

Answer:

30

Step-by-step explanation:

we multiply each number. There are 3 pairs of pants 5 shirts and 2 pairs of shoes, so we multiply 3x5x2 to get 30

She should pick out this outfit...

hii! i’ll give brainliest pls help

Answers

Answer:

the answer's option 3 * landslide *

Step-by-step explanation:

-

Answer:

Option 3

Step-by-step explanation:

A landslide is the most occurring disaster for people living in hills

Hope it helps

The radius of a circle is 2 m. Find the circumference to the nearest tenth.

Answers

Answer:

25.13 or 25.1

Step-by-step explanation:

2 x pi/3.14x4

Answer:

12.6

Step-by-step explanation:

circumference=2πr

=2 x 3.142 x 2

= 12.6 to the nearest tenth

Whitney had 84 fish in her fish tank. She gave 14 fish to her friend Max. Then, she moved 29 fish to another tank How many fish are still in the first fish tank

Answers

Answer:

41

Step-by-step explanation:

Started with 84

less               14

less.              29

=.                   41

Eddie made a video.
• The video included a 5-minute introduction followed by short segments.
• Each segment was 8 minutes long.
• Eddie's video was 149 minutes long.
How many segments were in Eddie's video?
A. 11
B. 18
C. 19
D. 30

Answers

the answer is either 18 or 19

Find the volume of the cylinder in terms of pi. The diagrams are not drawn to scale.
Height is 11m and radius is 1.9m
A. 75.449pi m3
B. 49.02pi m3
C. 41.8pi m3
D. 39.71pi m3

Answers

Answer:

D

Step-by-step explanation:

givens

r = 1.9 m

h = 11 m

Equation

V = pi * r^2 * h

Solution

V = pi * 1.9^2 * 11

V = pi * 3.61 * 11

V = pi * 39.71

V = 39.71 pi

Find the magnitude and directon of F +ū.

Answers

Answer:

Step-by-step explanation:

Someone please help!!!! I’ll give brainliest!!!

Answers

can you make the picture more clear?

*LOOK AT PICTURE FOR QUESTION*

F) 20.5 in

G) 14.74 in

H) 9.3 in

J) 10.1 in

Answers

I’m Pretty sure it’s g

A.) Kokochi walks 4 and 1 twelfth miles in one day. He walks the same distance for one week. How many miles does Kokochi walk?

B.) The next week, Kokochi walks 8 and 1 fourth miles in one day for a week. How many miles does Kokochi walk?

C.) What is the distance Kokochi walked if the answers to part A and B were combined?

Answers

Answer:

A) 28 7/12, or 343/12, or 28.583

B) 57.75

C) 86.3 or 86 1/3

Step-by-step explanation:

Mr. Bates and Mr. Z want to refinish the community center gym floor. The rectangular floor is 15.2 m wide and 25.6 long. If each gallon of polyurethane covers about 180 square meters, how many gallons should Mr. Bates and Mr. Z buy? *

Answers

Answer:

3 gallons

Step-by-step explanation:

area = 15.2 x 25.6 = 389.12 m²

389.12/180 = 2.16

You have have a bag of marbles (3 purple, 5 green, and 4
yellow)
Write your probability in fraction form-no need to reduce
1a) What is the Plyellow marble)=
1b) What is the P(purple marble)=
1c) What is the Plyellow marble "and" purple marble)
1a) 4/12, 1b) 3/12, 1c) 12/12
1a) 4/100, 1b) 3/100, 1c) 12/100
1a) 4/12, 1b) 3/12, 1c) 12/144
1a) 4, 1b) 3, 1c) 12

Answers

Answer:

4/12 = yellow

3/12 = purple

12/144 = yellow and purple

Step-by-step explanation:

the first two are pretty self explanitory. The last one requires you to multiply the answers of the first two together. Make sure you multiply both the top and the bottom (don't use common denominator here)

Answer:

The answer to this is the 3rd choice which is 1a) 4/12, 1b) 3/12, 1c) 12/144.

Step-by-step explanation:

This is pretty simple. To identify the probability of the yellow marbles, you can find the amount of yellow marbles and the total amount of marbles. You take it as a fraction which would be 4/12.

The total amount of marbles : 3 purple + 5 green + 4 yellow = 12 total marbles

The amount of yellow marbles : 4 yellow

Probability of yellow marbles : 4/12

To identify the probability of the yellow marbles, you can find the amount of purple marbles and the total amount of marbles. You take it as a fraction which would be 3/12.

The total amount of marbles : 3 purple + 5 green + 4 yellow = 12 total marbles

The amount of purple marbles : 3 purple

Probability of purple marbles : 3/12

To identify the probability of both the yellow and purple marbles, you can find the amount of yellow and purple marbles along with the total amount of marbles. Since we know this from the work above, you just need to multiply both probabilities. You take it as a fraction which would be 12/144.

The total amount of marbles : 3 purple + 5 green + 4 yellow = 12 total marbles

The amount of yellow marbles : 4 yellow

The amount of purple marbles : 3 purple

Probability of yellow marbles : 4/12

Probability of purple marbles : 3/12

Probability of both marbles : 12/144

PLEASE HELP WITH THIS

Answers

Answer:

A = 1/2 x b x h

A = 1/2 x bh

A = 1/2bh

Will mark brainliest!
Find the Volume of the Sphere. Use 3.14 for pi. Round your answer to the nearest whole number.

Answers

Answer:

It is 14130 mm^3

Step-by-step explanation:

So the equation for the volume of a sphere is (4/3) (3.14) r^3. So since we already have the radius, we just plug it in to get the answer:

(4/3) (3.14) r^3

(4/3) (3.14) 15^3

(4/3) (3.14) 3375

(4/3) (10597.5)

14130 mm^3

Pls help me fast thx

Answers

Answer:

The answer is C

Step-by-step explanation:

The equation y = 450x represents the number of miles alrplane traveled y ot x hours. The graph below shows the number miles a 5hour flight , after 2 hours which airplane had traveled the farther and by how much ? I need help

Answers

Answer:

y = 200x.....the airplane travels 8000 miles in 40 hrs

Step-by-step explanation:

Answer:

Airplane W by 100 miles

Step-by-step explanation:

Airplane Z

y = 450x

Distance travelled after 2 hours

y = 450(2)

y = 900 miles

------------------------

Airplane W

Distance travelled after 2 hours

Reading from the graph

1000 miles

----------------------

after 2 hours which airplane had traveled the farther

Airplane W

and by how much

1000 - 900 = 100

Im doing an extra practice and need help with this one problem

Answers

Answer:

it might be this 8.74777778 im not sure if it is tho so if im wrong then im sorry

Step-by-step explanation:

Select all the statements that describe the expression 5+2x.

The expression represents the sum of 5 and 2x.
The expression represents the sum of 5 and 2x.

The expression represents 5 plus x plus x.
The expression represents 5 plus x plus x.

The expression represents 5 plus 2 times x.
The expression represents 5 plus 2 times x.
The expression represents 5 plus 2 plus x.
The expression represents 5 plus 2 plus x.
The expression represents the product of 5 and 2x.
The expression represents the product of 5 and 2x.
The expression represents 5 plus x times x.

Answers

Answer:

The expression represents the sum of 5 and 2x.The expression represents 5 plus x plus x.The expression represents 5 plus 2 times x.

Sixty percent of the people surveyed use sunscreen. A random number generator was used to simulate the results of asking the next three people. The numbers 0–5 represent people who use sunscreen, and the numbers 6–9 represent people who do not use sunscreen. What is the probability that two of the next three respondents use sunscreen?

Answers

Answer:

[tex]Pr = 0.50[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Probability that 2 of 3 use sunscreen

From the attached data, we have:

[tex]S = \{275, 738, 419, 582, 987, 436, 578, 472, 178, 839\}[/tex]

[tex]n(S) = 10[/tex]

Events where 2 of the 3 uses sunscreen is:

[tex]x = \{275, 419, 582, 436, 472\}[/tex] --- i.e. where 0 -5 represents sunscreen

[tex]n(x) = 5[/tex]

So, the required probability is:

[tex]Pr = \frac{n(x)}{n(S)}[/tex]

[tex]Pr = \frac{5}{10}[/tex]

[tex]Pr = 0.50[/tex]

Every morning Nora makes five gallons of her refreshing lemonade. Each order of lemonade is exactly one cup.

How many cups of lemonade can she sell each day before she runs out?

Answers

Answer:

80 cups

I had writtened 80 cups then thought i was wrong.

sorry.

Step-by-step explanation:

Answer:

Step-by-step explanation:

16 US cups are in 1 US gallon. So 16x5 =50

Determine which statements are reasonable conclusions based on the data.
Choose Yes or No for each statement.
a. The point at (19, 14) is an outlier because it is outside the main cluster of data.
b. As the number of hits increases, the number of runs scored tends to decrease.
There is a positive linear association between the number of hits and the
number of runs scored.
d. There is a non-linear association between the number of hits and the
number of runs scored.
The point at (7, 13) is an outlier because it is the only game for which the
number of runs is greater than the number of hits.
f. If the trend continues, for a game when Tyler's team gets 20 hits, the number
of runs scored will most likely be greater than 10.
Yes No
Yes No
Yes No
curriculum Associates, 11.0
Coming permitted for classroom se
Grade Lesson 28 Scatter Plots
2

Answers

Answer:

no yes no

Step-by-step explanation:

In ΔOPQ, q = 6.5 inches, o = 8.6 inches and ∠P=55°. Find ∠Q, to the nearest 10th of an degree.

Answers

Answer:

∠Q = 35.5°

Step-by-step explanation:

We are given;

q = 6.5 inches

o = 8.6 inches

∠P = 55°

Let's first use cosine rule to find p.

p² = q² + o² - 2qo cos P

Plugging in the relevant values;

p² = 6.5² + 8.6² - (2 × 6.5 × 8.6 × cos 55)

p² = 42.25 + 73.96 - 32.0629

p² = 84.1471

p = √84.1471

p = 9.17 inches

Using sine rule, we can find ∠Q;

p/sin P = q/sin Q

sin Q = (q•sinP)/p

sin Q = (6.5 × sin 55)/9.17

sin Q = 0.5806

Q = sin^(-1) 0.5806

Q ≈ 35.5°

Answer:

47.5  

Step-by-step explanation:

From delta math

Dameon wants to move to a new apartment in his neighborhood. The data shows the monthly rate for the one bedroom apartments in his neighborhood. What is the monthly rent for his apartments?

Answers

Answer:

1,010

Step-by-step explanation:

Answer:

1010

Step-by-step explanation:

Helpppppppppp please....

Answers

The answer is 8! 48 divided by 8 =6

Help, please!!! This is urgent!!!!!

Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5 points)
Part B: What is the solution to the equations of lines A and B? Explain your answer. (5 points)

Answers

Answer:

Part A: one solution:

Part B: x = 3, y = 4.

1) Part A: how many solutions does the pair of equations for lines A and B have?

The solution of a system of equations in a graph is given by the intersetion of the curves that represent the equations.

In this case, there are two straight lines, which intersect in one and only one point.

Hence, the system has one solution.

2) Part B: what is the solution to the equations of lines A and B?

The solution is the pair of coordinates of the intersection point. It is (3, 4).

Therefore, the solution is x = 3, y = 4.

Step-by-step explanation:

MRK ME BRAINLIEST PPLLZZZZZZZZZZZZZZZZZZZ

Find the slope of the line
A 4/3
B 3/4
C -4/3
D -3/4

Answers

Answer: B) 3/4

Step-by-step explanation:

b 3/4...............

use f(x) = 2x-9 and g(x)=9-x^2 to evaluate g(f(3))​

Answers

Answer:

g(f(3))​ = 0

Step-by-step explanation:

f(x) = 2x - 9

f(3) = 2(3) - 9

f(3) = -3

g(-3) = 9 - (-3)^2

g(-3) = 9 - 9

g(-3) = 0

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