You throw a ball at a height of 5 feet above the ground. The height h (in feet)
of the ball after t seconds can be modeled by the equation h=-16tsqaured +44t +5
A. After how many seconds does the ball reach a height of 15 feet?
B. After how many seconds does the ball hit the ground? Round your answer
to two decimal places.

Answers

Answer 1

Answer:

A.    After 2.5 sec and .25 sec the ball was at a height of 15 ft.

B.    2.86 sec is the time it takes to hit the ground

Step-by-step explanation:

A.   let h = 15

then 15 = -16t^2 + 44t + 5

16t^2 - 44t + 10 =0

2(8t^2 - 22t + 5) = 0

2(2t - 5)(4t - 1) = 0

t = 5/2 = 2.5    or t = 1/4 = .25

After 2.5 sec and .25 sec the ball was at a height of 15 ft.

B.   Let h = 0.  

-16t^2 + 44t + 5 = 0

Use the quadratic formula to find t.  (I will let you do that)

t = 2.85929...    or t = -.10929...

t cannot be negative, so 2.86 sec is the time it takes to hit the ground

Answer 2

The answer of A is  After 2.5 sec and 0.25 sec the ball was at a height of 15 ft and the answer of B is 2.86 sec is the time it takes to hit the ground.

A.   let h = 15

What is the quadratic equation?

[tex]ax^2+bx+c=0[/tex]

a, b, c = known numbers, where a ≠ 0

x = the unknown

then 15 = -16t^2 + 44t + 5

16t^2 - 44t + 10 =0

2(8t^2 - 22t + 5) = 0

2(2t - 5)(4t - 1) = 0

t = 5/2 = 2.5    or t = 1/4 = 0.25

After 2.5 sec and 0.25 sec the ball was at a height of 15 ft.

B.   Let h = 0.  

-16t^2 + 44t + 5 = 0

Use the quadratic formula to find t.

t = 2.85929...    or t = -.10929...

t cannot be negative, So 2.86 sec is the time it takes to hit the ground.

To learn more about the quadratic equation visit:

https://brainly.com/question/1214333

#SPJ2


Related Questions

in the year 2001, a person bought a new car for $22000. for each consecutive year after that, the value of the car depreciated by 5%. how much would the car be worth in the year 2005, to the nearest hundred dollars

Answers

Answer:

To the nearest hundred dollars, the car will be worth $17,900 by 2005

Step-by-step explanation:

Firstly, we need to write the depreciation equation

We have this as:

V = I(1 - r)^t

V is the present value which is what we want to calculate

I is the initial value, the amount the cad was bought which is $22,000

r is the rate of change which is 5% = 5/100 = 0.05

t is the time difference which is 2005-2001 = 4

Substituting all these into the depreciation equation, we have it that

V = 22,000(1 -0.05)^4

V = $17,919.1375

To the nearest hundred dollars, that would be;

$17,900

HELP PLS
have this math assignment due in an hour

Answers

30.- 12*9/2 = 54

29.- 20*16/2 = 160

16.- The number one

And last image 343yd

Lee is selling spirit wear for a
fundraiser. Hats cost $8 and shirts cost $12. Lee sold $272 worth of spirit wear in the first month. If Lee sold a total of
28 items, how many hats did Lee sell?

Answers

I agree with the other comment!!

what is 6÷2 squaredwhat is 6 ÷ 2 squared ​

Answers

Answer:

(6/2)² = 3² = 9

6²/2² = 36/4 = 9

Answer:

9

Step-by-step explanation:

6/2 is 3

squaring three we get 3 to  the power of two or 3x3

3x3=9

3 squared is 9

A tank contained 80 liters of water. The function “w” represents the relationship between “t”, time in minutes, and the amount of water in the tank in liters. The equation w(t) = 80 - 2.8t defines this function. How would the graph of the inverse function of compare to the graph of “w”? PLEASE HELP!!

Answers

w(t) tells you the amount of water w at a given time t.

The inverse function tells you at which time t the tank contains an amount of water w.

To get the inverse function, solve the equation

w = 80 - 2.8t

for t :

w = 80 - 2.8t

2.8t = 80 - w

t = (80 - w) / 2.8

t ≈ 28.57 - 0.357 w

The graph of w(t) is a downward-sloping line. The graph of the inverse is also a downward-sloping line, but its intercept (28.57) and slope (-0.357) are both smaller than the intercept and slope of w(t).

I NEED TO PASS SO I CA GO TO A CONCERT AND GET MY PHONE BACKKK I WILL GIVE 15 POINTS!! :)

Answers

Answer:

Step-by-step explanation:

Answer:

x=-5, y= 52

x=-1, y= 12

x=0, y= 2

x=1, y= -8

help in need help and plz dont give me a website plz

Answers

Answer:

u = 7

Step-by-step explanation:

In a parallelogram, GI = GK so:

u + 28 = 5u

4u = 28

u = 7

Plz help will mark brainliest

Answers

the answer should be 7 mm :)

The students put recycling bins for cans and bottles in the cafeteria and teaches lounge. At the end of last week, there was a total of 48.9 pounds of cans and bottles. They split them evenly into 3 bags. How many pounds were in each bag?

Answers

Answer:

16.3

Step-by-step explanation:

There was a total of 48.9 pounds of cans and bottles

They were split evenly in 3 bags

Hence the number of each pounds in the bag can be calculated as follows

= 48.9/3

= 16.3

Hence 16.3 pounds are found in each bags

Which property explains why these two expressions are equal?
(w+ 2/3) + 5 = w + (2/3 + 5)
A)
associative
B)
commutative
C)
distributive
D)
transverse

Answers

The correct answer is letter S

Compare using >is greater than, 2/3 or 9/12

Answers

2/3 > 9/12 because 2/3 is closer to a whole

Answer:

Step-by-step explanation:

i dont know what ur asking but

9/12 > 2/3

Which graph represents a positive correlation?

Answers

Answer:Your answer is C

Step-by-step explanation:

An airplane is flying at 5,000 ft above sea level. A submarine is1,200 feet below sea level. What is the vertical distance between the plane and the submarine?

Answers

Answer:

6200 m

Step-by-step explanation:

5000-(-1200)=5000+1200=6200 m

Answer:

the picture answer is 8 km

Step-by-step explanation: im not sure where u got the question from but the pitcure answer is 8 km because one cube means 2 km and there are 4 cubes in total making 4 times 2 be 8 km away

Simplify the expression.
-10a -
3a

Answers

Answer:

-13a

Step-by-step explanation:

they are like terms so it means they will add each other giving you -13a

:)

Answer:

-13a

Step-by-step explanation:

-10a-3a=13a

hope it helps.

Which of the following shows the sample space for spinning the spinner one time?

Answers

Answer:

There are two colors and 8 numbers.

One color is represented by 3 numbers 2, 3, 7

The second color is represented by 5 numbers 1, 4, 5, 6, 8

P(color 1) = 3/8P(color 2) = 5/8

A space ship traveled from the earth
to the moon in 248 hours. How fast did it travel?

Answers

Is there any measurement units?

12 + x/4 = 9
Simplify Plz need ASAP

Answers

Answer: X = -12

Step-by-step explanation:  1)  12 + x/4 = 9

                                              2)  12 + x/ 2^2 = 9

                                              3)   x/ 2^2  + 12 = 9  

Can someone please help me with this....im stuck.

Answers

The answer is C hope it helps

Answer:

Step-by-step explanation:

One clue about where to start is this: the sentence describes the length by referring to the width. "The LENGTH is blah, blah, blah, the WIDTH. When that happens, choose a variable to represent the width (the quantity being referred to).

Width = w

Length IS three more than (added to) 4 times (multiplied by) the width

Length = 4w + 3

Area of a rectangle is the width multiplied by the length.

Equation: w(4w + 3) = 24

Solve.

Multiply out the left side.

4w^2 + 3w = 24

Subtract 24.

4w^2 + 3w -24 =0

This equation does not factor. Use the Quadratic Formula. One of the solutions is a negative number, so that should be rejected (width can't be a negative number).

[tex]w=\frac{-3+\sqrt{393}}{8}[/tex]

Substitute this into the expression 4w + 3 to find the length. A calculator can give you decimals for both dimensions.

The ratio of black beads to green beads is 10:3.
If there is 50 black beads, how many green beads
are there?

Answers

Answer= 15
Hope this helps

answers are
126in cubed
377in cubed
565in cubed
1131in cubed

Answers

126

Step-by-step explanation:

hdhfgdhdgdhdhrgdgdgdhdgdhdhdh

Pls help And explain!!

Find the numbers between 1 and 50 that
are even, multiples of 6 and when divided
by 5 have a remainder of 2.
and

Answers

Answer:

12

Step-by-step explanation:

Divide 12 by 5 to get about 2 as the remainder. 12 is also a multiple of 6!

I hope this helps! Can you please mark brainliest!


NOTE: Angles not necessarily drawn to scale.

Answers

Its 157, because 180-23= 157 degrees.

Circle T is shown. Angle Q S R intercepts arc Q R. Angle Q S R is 52 degrees. What is the measure of arc Q R? 26° 52° 104° 128°

Answers

Answer:

104 degrees'

Step-by-step explanation:

Find the diagram attached

According to the theorem;

Angle at the vertex is half the angle at its intercepted arc

Given

Angle at the vertex = 52 degrees

Angle at the intercepted arc = arc QR

Hence;

52 = 1/2 arcQR

Cross multiply

52 * 2 = arcQR

104 = arc QR

Swap

arc QR = 104 degrees'

Answer:

C)104

Step-by-step explanation:

edg 2021

can somebody please answer this. I will give brainliest answer.

Answers

Answer:

121.21 people per square mile

Step-by-step explanation:

area = 1/2(12 + 21)(14) = 231 mi²

28,000/231 = 121.21 people per square mile

PLEASE HELP!!!! While observing the fare meter in a taxi, a student records the following data:

Reading on Taxi Fare Meter
Time (minutes) Meter Reading
0 $7.75
10 $13.25
20 $18.75
30 $24.25

What is the equation that relates the cost, C(t), of the taxi ride and time, t, in minutes? What is the cost of a 42-minute taxi ride? (7 points)

C(t) = 0.55t + 7.75, $30.85
C(t) = 1.71t + 7.75, $79.57
C(t) = 0.775t + 5.50, $38.05
C(t) = 5.5t + 0.775, $231.78

Answers

Answer:

C(t) = 0.55t + 7.75, $30.85

Step-by-step explanation:

the fixed cost is $7.75. this is the cost incurred at zero minutes of the taxi ride

the variable cost or the cost per minutes driven =

(13.25 - 7.77) / (10 - 0) = 0.55

total cost = 7.75 + 0.55t

cost of 42 minutes = 7.75 + 0.55(42) = $30.85

what is the area of 12 inches and 9 inches?

Answers

Answer:

i believe the area would be: 108

Step-by-step explanation:

you would multiply the numbers ( 12 x 9 = 108)

= 108 in

~ i rlly hope this is correct and has helped you in any way, have a gr8 day/night my friend!~

Answer:

area is 180

Step-by-step explanation:

Given the function f(x)=x^2-8x+13f(x)=x, determine the average rate of change of the function over the interval −1≤x≤6.

Answers

Given:

Consider the given function is:

[tex]f(x)=x^2-8x+13[/tex]

To find:

The average rate of change of the function over the interval [tex]-1\leq x\leq 6[/tex].

Solution:

The average rate of change of the function f(x) over the interval [a,b] is:

[tex]m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

We have,

[tex]f(x)=x^2-8x+13[/tex]

At [tex]x=-1[/tex],

[tex]f(-1)=(-1)^2-8(-1)+13[/tex]

[tex]f(-1)=1+8+13[/tex]

[tex]f(-1)=22[/tex]

At [tex]x=6[/tex],

[tex]f(6)=(6)^2-8(6)+13[/tex]

[tex]f(6)=36-48+13[/tex]

[tex]f(6)=1[/tex]

Now, the average rate of change of the function f(x) over the interval [tex]-1\leq x\leq 6[/tex] is:

[tex]m=\dfrac{f(6)-f(-1)}{6-(-1)}[/tex]

[tex]m=\dfrac{1-22}{7}[/tex]

[tex]m=\dfrac{-21}{7}[/tex]

[tex]m=-3[/tex]

Therefore, the average rate of change of the function f(x) over the interval [tex]-1\leq x\leq 6[/tex] is -3.


Find the ordered pair that is a member of both -2x + 6y = 34 and
2x + 2y = 14 or indicate if it does not exist or there are infinite
possibilities.

Answers

Answer:

(1, 6) is the solution

Step-by-step explanation:

-2x + 6y = 34

2x + 2y = 14;     divide by 2

x + y = 7;        subtract x

y = 7 - x

let's substitute y with 7 - x in first equation

-2x + 6*(7 - x) = 34;    expand multiplication

-2x + 6*7 - 6*x = 34;    group

-8x + 42 = 34;         subtract 42

-8x = 34 - 42 = -8;      divide by -8

x = 1

y = 7 - 1 = 6

It is the only solution, as we've arrived at exact numbers.

PLEASE HELP
TIMED!!!
For function Limit of h (x) as x approaches c minus = negative infinity and limit of h (x) as x approaches c plus = infinity. Which statement describes the existence of an asymptote at c?

Answers

Answer:

A. there must be a vertical asymptote at x=c

Step-by-step explanation:

Answer: A

Step-by-step explanation:

got it right edge 2022

Lucy Liu went shopping at Hollister with her friends together they spent a mean price of $40 on eight sweaters the first step and sweaters cost $50 $55 $30 $35 $39 $40 and $42 how much in dollars does the eighth sweater cost

Answers

Answer:he eighth sweater costs $29

Step-by-step explanation:

Let the price of the eighth sweater be re[presented as X

We know that

Mean Price =Total sum of cost of sweater bought/ Number of sweater'

Plugging in our known values we have that  

40=$50+ $55+ $30+ $35+ $39+ $40 + $42+X  /8

8 X 40 =291 +X

320=291 +X

X =320-291

X=29

Therefore, the eighth sweater costs $29

Answer: 29

Step-by-step explanation:

I got a question and im  anwsering here bc i want the points either way how is this a high school question im in 6th this is a hw problem

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