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;

https://brainly.com/question/17177510

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Related Questions

how many triangles are there

*image insert here*

Answers

There are 69 triangles

You pick a card at random. Without putting the first card back, you pick a second card at
random.
123
What is the probability of picking a 2 and then picking a 1?
Write your answer as a fraction or whole number.

Answers

Answer:

1/6

Step-by-step explanation:

Firstly, Pr(e) = n(e)/Total outcome

Pr(2) = 1/3

Pr(1) = 1/2

Pr(1 and 2) = 1/3 * 1/2 = 1/6

Briana and her brother, Dimitri, each inherit $8,000 that they use to open new savings accounts.
Briana's account earns 4.3% annual compound interest. Dimitri's account earns 5.4% simple
interest. Assuming neither makes any additional deposits or withdrawals, how much more will
Briana's account be worth than Dimitri's account after 18 years? Round all final answers to the
nearest whole number.

Answers

Answer:

Dimitri's will have 3547.8 more than Briana

Step-by-step explanation:

but If your asking how much more she will have she won't but if you have to put something out -3547.8 hope this helps

I=$26.24, P=$500, T=18 months the annual interest rate is

Answers

A = $2,861.60

I = A - P = $2,361.60

Equation:
A = P(1 + rt)

Calculation:
First, converting R percent to r a decimal
r = R/100 = 26.24%/100 = 0.2624 per year.

Solving our equation:
A = 500(1 + (0.2624 × 18)) = 2861.6
A = $2,861.60

The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 26.24% per year for 18 years is $2,861.60.

Zari folds the net shown into a model of a solid figure. How many​ edges, faces, and vertices does the model​ have?

Answers

Answer:

-5 Faces

-10 Edges

-6 Vertices

Step-by-step explanation:

Folded out there are 3 rectangles and 2 triangles, 5 faces

Count the straight lines, no dotted, it's 10 edges

Count the corners only and the top of the triangles 6 vertices

what is the value of x
A.6
B. 10
C.4
D.8

Answers

2x+19 = x+23
x=4

So the answer is C
The answer is going to be C

8 in.
8 in.
8 in.
Find the area of the figure above.
[?] in2

Answers

Answer:

96

Step-by-step explanation:

Total area = area of cube + area of triangle

A = 8² +  = 64 + 32 = 96 in

There are 65 chairs set up for a movie. They are arranged into 5 rows. How many chairs are in each row?, don’t answer if u don’t know it

Answers

Answer:

13 chairs in each row

Step-by-step explanation:

divide 65 by 5 to get 13

Answer: 13

Step-by-step explanation: 65 divided by 5

What are the domain and range of the function represented by the set of
ordered pairs?
{(-9,-3), (8,0), (10,-4), (11,6)}

Answers

Domain (the range of x values)
Range (the range of the y values)

Domain: (-9, 11)
Range: (-4, 6)

Answer:

domain: {-9,8,10,11}

range: {-4,-3,0,6}

Step-by-step explanation:

did the test already

help? could someone help me with this?

Answers

Answer:

A, C, And F

Step-by-step explanation:

Fiona arranged fresh apples in the fruit aisle of the supermarket. The apples are priced according to their weight. This is shown on the graph. What equation represents this situation?

Answers

Answer:

Where's the graph?

Step-by-step explanation:

need an better explanation on how to do this question

URGET PLEASE HELP
Let f(x) = 5x4 – 2x2 – 8x + 3 and g(x) =
-7x4 + 6x3 + 10x²
x + 4. What is f(x) + g(x)?

Answers

Answer:

f(x)+ g(x) = [tex]-2x^{4} + 6x^{3} +8x^{2} -8x+3[/tex]

Step-by-step explanation:

You just have to add the like terms separately,

5-7 in [tex]x^{4}[/tex]

only 6 in [tex]x^{3}[/tex]

10-2 in[tex]x^{2}[/tex]

-8 in x

and 3 as the constant

If the surface area of a sphere is 484π, what is the radius?

Answers

Answer:

6.21 is the radius I believe

Step-by-step explanation:

Answer:

It would be 11.

Step-by-step explanation:

The equation for the surface area of a sphere is 4πr^2, so lets reduce the answer to get the value of r, the radius.

484π = 4πr^2

Divide by π

484 = 4r^2

Divide by 4

121 = r^2

Lastly, square root each side

11 = r

r is 11.


Ryan goes for a run for 29 minutes. He knows that each mile he runs
takes 6 minutes. To the nearest tenth, how many miles did Ryan run?
(turn your answer into a mixed number...simplify it...then type it as a decimal)

Answers

Answer:

4 and 5/29

Step-by-step explanation:

Write the following expression using a single exponent. 4^6 ÷ 4^-2

Answers

Answer:

4^8.

Step-by-step explanation:

4^6 ÷ 4^-2     when dividing we subtract exponents , so we have:

4^(6- (-2))

= 4^8.

Calculate the value of this

Answers

Answer: here’s your answer

Step-by-step explanation:

Find the area please

Answers

Answer:

th answer would be 20.8 :)

Step-by-step explanation:

lmk if this helps <33

about 20.8 would be the answer

choose the diagram that show's the graph of the inequality 12 ≤ x + 14​

Answers

I’m pretty sure the answer would be B

Answer:

A

Step-by-step explanation:

12≤x+14                subtract 14 by both sides

-2 ≤ x

this means x is greater than or equal to -2

hope this helped have a great day :)

The map shows the locations of 11 shelters along the Appalachian Trail. The distances (in miles) between these
shelters are 0.1, 14.3,5.3, 1.8, 14, 8.8, 8.8, 16.7, 6.3, and 3.3.
a. Find the mean, median, and mode of the distances.
b. A hiker starts at Shelter 2 and hikes to Shelter 11. How
does this affect the mean, median, and mode? Explain.

Answers

yesssssss yesssssss broooii yesssssss yesssssss broooiiou290
explain segssyy1100

Does the orientation change in quadrilateral
ABCD to A'B'C'D'? when reflected?
A.)Yes, and it is reflected over the x-axis
B.) yes , and it is reflected over the y-axis

Answers

Answer:

b

Step-by-step explanation:

i have had this before

HELP DUE IN 5 MINUTES
Explain how you use a net to find the surface area of a prism. ​

Answers

Answer:

how to use a nurse to do find of surface prism is that you want to Play-Doh lens height and width

Step-by-step explanation:

The coordinates of the vertices of a polygon are (1, 2), (1,-1).(-6, -1), and (-6, 2).
What is the perimeter of the polygon?
A. 10 units
B. 14 units
C. 18 units
D. 20 units

Answers

The answer is D. 20 units

Answer:

20 units

Step-by-step explanation:

Find the area of the kite below.

Answers

Answer:

160 unit^2.

Step-by-step explanation:

Area = xy/2 where x and y are the length of the diagonals, so here:

Area = (16*20)/2

= 320/2

= 160.


Help!!!

Shawn has a piece of cardboard as shown in the diagram.
He wants to cut out as many squares as possible from the cardboard.
How many squares can he cut if each side of a square is....

Answers

Answer:

A. 2 cm long

Step-by-step explanation:

The there would be more squares cut out, the squares are smaller and its all even

Answer:

Step-by-step explanation:

A)  4+15=19 total 2cm squares

B) 4 + 3 = 7 total 3cm squares

C) 1 + 2 = 3 total 4cm squares

16. The hood of Olivia's car is the shape of a trapezoid. The base bordering the

windshield measures 30 inches and the base at the front of the car measures

24 inches. What is the width of the median of the hood?

F. 25 in.

G. 27 in.

H. 28 in.

J. 29 in.

Answers

Answer:

Option G: 27 inches.

Step-by-step explanation:

When we have a trapezoid with bases:

B₁ and B₂, the median of the trapezoid can be calculated as:

M = (B₁ + B₂)/2

In this case, we know that the bases are:

B₁ = 30 in

B₂ = 24 in

Then the median is:

M = (30in + 24in)/2 = 54in/2 = 27in

The correct option is G.

owen follows the rule divide by 2 to write the pattern below. he will write two more numbers to complete the pattern. which statement is true?

Answers

Answer:

Every number in the pattern will have a 0 or a 5 in its ones place

Step-by-step explanation:

Given

Rule: Divide by 2

[tex]800, 400, 200, 100, [\ ], [\ ][/tex]

See attachment for complete question

Required

Which statement is true

First, we apply the rule to complete the blanks.

Divide by 2 implies that we divide the current element by 2, to get the next

So, the first blank becomes

[tex][\ ] = \frac{100}{2} = 50[/tex]

The next is:

[tex][\ ] = \frac{50}{2} = 25[/tex]

So, we have:

[tex]800, 400, 200, 100, 50, 25[/tex]

Compare each option with the above dataset, we have:

(a) False; because 25 do not have 0 in its 1's space

(b) False; because 50 and 25 do not have 0 in their 10's space

(c) True; because each of the dataset either have 0 or 5 in their 1's space

Help me solve this problem for a hug





Answers

Answer:

4

4in

Step-by-step explanation:

what grade lvl is this???

Have a nice day! :-)

3x+2y=12 2x-3y=21 elimination please solve with answer and steps

Answers

Answer:

(6,-3)

or

x=6 y= -3

Step-by-step explanation:

Taking a quick look at this question we notice that we simply cannot add/subtract the two equations and eliminate a variable

What we can do is mulitply an equation to make the above true

let's try to get the first equation to have a 3y, and we can do this by multiplying it by 1.5 (this is legal because we do it to both sides)

So our new first equation is

1.5(3x+2y)=12*1.5

which simplifies to

4.5x+3y=18

We then add the two equatiosn

(4.5x+3y)+(2x-3y)=18+21

6.5x=39

x=6

Now that we know x we can plug that in and solve for y

3(6)+2y=12

18+2y=12

-6=2y

y= -3

Fill in the blank.
2. The volume of a cone is _____ the volume of a cylinder with the same base and height.

Answers

The volume of a cone is three times the volume of a cylinder with the same base and height.

Step-by-step explanation:

the volume of a cone is equal toone-third of the volume of a cylinderhaving the same base radius and height

No links! If ∆DEF~∆GHF, find the value of x.

Answers

Answer:

i couldn't atatch it onto here but you can down load it here

Step-by-step explanation:  

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