A ball is projected upward from ground level. After t seconds, it’s height in feet is a function defined by f (t) = -16t^2 + 96t. In how many seconds will the rocket be at a height of 128 ft above the ground?

Answers

Answer 1

Answer:

t = 2 s and t = 4 s

Step-by-step explanation:

A ball is projected upward from ground level. After t seconds, it’s height in feet is a function defined by,

[tex]f (t) = -16t^2 + 96t[/tex]

We need to find in how many seconds will the rocket be at a height of 128 ft above the ground.

It means,

[tex]128= -16t^2 + 96t\\\\-16t^2+96t-128=0\\\\16(-t^2+6t-8)=0\\\\(-t^2+6t-8)=0\\\\-t^2+4t+2t-8=0\\\\t(-t+4)-2(-t+4)=0\\\\(t-2)=0\ and\ (-t+4)=0\\\\t=2\ and\ t=4[/tex]

So, it will be at a height of 128 feet at 2 second and 4 second.


Related Questions

Pat volunteered to bake 80 biscuits for a family reunion breakfast. She plans to bake 8 biscuits in each pan. Which number sentence can be used to find p, the number of pans of biscuits that she will need to bake?

Answers

Answer: 10 pans

Step-by-step explanation:

Step 1:

If the number of biscuits needed= 80

Step 2:

And the number of biscuits on each pan= 8

Step 3:

Then the number of pans needed= 80 ÷ 8

Answer: 80 ÷ 8 = 10pans

Ms. Johnson is drawing a floor plan of her square room that has an area of 100 ft2. She is using the scale of 0.5 inch =2 ft. What is the length of her room on the floor plan?

Answers

Answer:

it's 2.5 inches cool profile pic to

Step-by-step explanation:

Jose has scored 555 points on his math tests so far this semester. To get an A for the semester, he must score at least 660 points. Write and solve an inequality to find the minimum number of points he must score on the remaining tests, n, in order to get an A.

Answers

If I am not wrong, n = 105, because 660-555=105.

The "h" in the lateral area formula, L = Ph, stands for

Answers

P= perimeter of the base P=(2 x L) + (2 x w) h= height. Total Surface area: S= Ph + 2B.

Answer each question based on the graph below. How many solutions does this system have? ___________________ List the solution(s) to this system ____________________ What is the x-intercept of the linear equation? ____________________ What is the y-intercept of the quadratic equation? ____________________

Answers

No graph attached...

what is the y-value

y = 6x – 3

x+2y = 7

Answers

Answer:

i love algebra anyways

the ans is in the picture and the steps how got it

(hope it helps can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

(this is about Write Expressions)
~~
Eric is 3 times older than his sister Alyssa. Eric is 15 years old. Create an equation to find out Alyssa's age​

Answers

Answer:

the answer is five because 3 times 5 is 15

Step-by-step explanation:

Answer:

Equation : - three times a number is equal to 15

3x = 15

x = 15 ÷ 3

x = 5

Q1 Expand the following brackets
(a) 5(y + 3) (b) 4(a + 2)
(c) 8(W + 10)
(
(e) 9(s - 1)
(f) 2(8-t)
(g) 7(4 + h)
(i) 4(3y + 2)
6) 5(2p - 1)
(k) 3(7a +2)​

Answers

Answer:

[tex]a)5y + 15 \\ b)4a + 8 \\ c)8w + 80 \\ e)9s - 9 \\ \: f)16 - 2t \\ \: g)28 + 7h \\ \: i)12y + 8 \\ \: 6)10p - 5 \: \\ k)21a + 6[/tex]

[tex]plzz \: \: mark \: as \: brainliest[/tex]

help! A pack of cinnamon-scented pencils sells for $6.00. What is the sales tax rate if the total cost of the pencils is $6.18?

Answers

Answer

Step-by-ste$6.48- $6.00= $.48

.48÷ 6.0= 0.08

0.08 = 8%

tax rate is 8%

p explanation:

Answer:

3%

Step-by-step explanation:

6.18-6.00 = .18

.18/6.00= .03

.03= 3%

A man covers 1000meters when he completes five rounds around a square field. what would be the length of the field?

Answers

200m i’m pretty sure
1000 metres =5 rounds
1000/5=200 metres= 1 round
Perimeter of square = 4 times length
4 times length =200
Length =200/4
Length =50 metres

Tim has completed five math problems and 13 minutes if he continues at the same rate how long will it take him to finish 20 problems

Answers

Answer:

52 minutes

Step-by-step explanation:

it takes him 13 minutes to complete 5 so if he wants  to do 20 problems  do 20 divided by 5 (4) then do 13 times 4=52

Which statement is not true in the
equation
y = 0.5x?

Answers

Answer:

Are there set answers? Ill edit my answer after.

Step-by-step explanation:

Please help I’ll mark you brainly!

Answers

9514 1404 393

Answer:

  A.  f(x) = (x -3)² -1

  B.  vertex: (3, -1); axis of symmetry: x=3; x-intercepts: {2, 4}; y-intercept: 8

  C.  see attached for a graph

Step-by-step explanation:

A. Put the function in vertex form by completing the square. Start by putting parentheses around the terms containing x.

  f(x) = (x² -6x) +8

Now, identify the coefficient of x (-6) and square half of that. (-6/2)² = 9. Add this value inside parentheses, and subtract this value outside parentheses.

  f(x) = (x² -6x +9) +8 -9

Rewrite the trinomial in parentheses as a square. The constant in the binomial will be the value you squared in the previous step.

  f(x) = (x -3)² -1 . . . . . vertex form; a(x -h)²+k for vertex (h, k)

__

B. The vertex and the axis of symmetry can be read from the equation. Here, the vertex is (3, -1). The axis of symmetry is the vertical line through the vertex: x = 3. The x-intercepts are found by solving f(x) = 0.

  f(x) = 0

  (x -3)² -1 = 0

  (x -3)² = 1 . . . . . add the opposite of the 'k' value

  x -3 = ±√1 . . . . take the square root. We need both signs.

  x = 3 ± 1 . . . . . add 3 to get x by itself. These are the x-intercepts.

  x = 3-1 = 2  and  x = 3+1 = 4

The x-intercepts are 2 and 4, points (2, 0) and (4, 0).

The y-intercept is the value of f(0). It is the constant in the original form of the function. f(0) = 8 . . . . y-intercept

__

C. The graph is attached. The various points above are marked, and the axis of symmetry is shown.

Simplify the expression by combining all the like terms 6+2x+5+4x

Answers

Answer:

6x+11

Step-by-step explanation:

6+2x+5+4x

4x+2x+6+5

(4x+2x)+(6+5)

6x+11

Answer:

6x +11

Step-by-step explanation:

group like terms (terms with the same variable and powers) together

(2x+4x) + (6+5)

6x +11



A cylinder has a base radius of 10m a height of 18m. What is its volume in cubic

m, to the nearest tenths place?

Answers

Answer:

5656 m^3

Step-by-step explanation:

Volume of a cylinder can be calculated using below formula

V = πr²h

Where

h= height =18m

r= radius= radius = 10m

If we substitute the values we have

V = π × (10)²× 18

= 5655.6 m^3

= 5656 m^3

Answer: 5654.9

Step-by-step explanation:

Find the degree of the monomial.
9xy3z7

Answers

The answer is 11 :)
Your answer is 11, let me know if its correct?

HELP MEEEE!!!!!!!!!!!!!!!!!!!! I will give brainliest to whoever answers first.

Answers

A. Multiply the 2 numbers.

A bicycle shop is selling $500 bikes at 10% off. If the sales tax is 7%, how much will the bike cost?

Answers

Answer:

The bike will cost $481.50

because

10% off of 500 is 50

so 500 - 50 = 450

Now include the sales tax which is

450 * 0.07 = 31.5

Now add the two totals to get

$481.50

please help me, I am so confused. Thanks​

Answers

Answer:

c. 80

Step-by-step explanation:

cos x = sin(x-70)

cos x = cos [90-(x-70)]

cos x = cos (90-x +70)

cos x = cos 160 -x

x= 160-x

2x = 160

x =80

Donald's Earnings, x (dollars) Fallons Earnings, y 38 45 43 50 48 55 53 60 58 65 Which equation best represents Fallon's earnings in terms of Donald's earnings? A. y=x+7 B. X=7y C. y=7x D. x=y+7

Answers

Given:

The table of values for Fallon's earnings in terms of Donald's earnings.

To find:

The equation that best represents Fallon's earnings in terms of Donald's earnings.

Solution:

In the given table the x-values are increasing by 5 units and  y values increasing by 5 units. It means the rate of change of y with respect to x is constant and the table represents a linear function.

If the graph of a linear function passes through two points, then the equation of linear function is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Consider any two points from the table. Let the two points are (38,45) and (43, 50). Then, the equation is

[tex]y-45=\dfrac{50-45}{43-38}(x-38)[/tex]

[tex]y-45=\dfrac{5}{5}(x-38)[/tex]

[tex]y-45=1(x-38)[/tex]

[tex]y-45=x-38[/tex]

Adding 45 on both sides, we get

[tex]y=x-38+45[/tex]

[tex]y=x+7[/tex]

Therefore, the correct option is A.

Find DC (Image Below)

Answers

Answer:

79239729379249

Step-by-step explanation:

your aswer is 284389300 oo

please help 11 points and will give brainelist

Answers

C
81 + 56 + 43 = 180 = measure of triangles

Answer:

i believe it should be C

Step-by-step explanation:

dont forget to say thanks

brainelist??

Find the scale factor
A. 3.5
B. 3/5
C. 35

Answers

Answer:

3.5

Step-by-step explanation:

35/10 = 3.5

7x + 4 = 25, then x is equal to

a) 29/ 7 b) 100/7 c) 2 d/ 3

Answers

Answer:

d) 3

Step-by-step explanation:

7x+4=25

7x=21

X=3

Answer: D. 3

Step-by-step explanation:

Given

7x+4=25

Subtract 4 on both sides

7x+4-4=25-4

7x=21

Divide 7 on both sides

7x/7=21/7

x=3

Hope this helps!! :)

Please let me know if you have any questions

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal
costs $78.86 before the discount, and they leave a 20% tip. If the tip applies to the cost of
the meal before the discount, what is the total cost of the meal? Round your intermediate
calculations and answer to the nearest cent.

Answers

Answer: $80.44

Step-by-step explanation:

First of all, find 20% of 78.86, which is approximately 15.77.

Then, add it to the cost of the meal.

Finally, discount 15% of 94.63, which is approximately $14.19, and then subtract it from $94.63, and there's your answer.

Mrs. Smith took her bird to the vet. Tweety weighed 1 and 3/10 pounds. The vet said that Tweety weighed 4/10
pound more last year. How much did Tweety weigh last year?

Answers

Add 4/10 to the bird’s current weight of 1 an 3/10...you get 1 and 7/10 pounds
(or 1 7/10)

add x³-2x²y+4xy²-y³,2x³-5xy²+3x²y-4y³​

Answers

Answer:

Step-by-step explanation:

.......................................

How many zeros are shown in this graph:

Picture of the graph down below.

Answers

Answer:

4

Step-by-step explanation:

the zeros are each time it touchs/crosses the x axis

Find the area...
HURRY!!!!!

Answers

Answer: 38

Step-by-step explanation:

Which relation is a function?

{(3, 4), (2, 4), (5, 1), (3, 5)}

{(1, 4), (1, 3), (1, 2), (1, 1)}

{(1, 3), (2, 6), (3, 9), (4, 12)}

{(3, 4), (3, 3), (1, 2), (1, 5)}

Answers

Answer:

its 1

Step-by-step explanation:

look it up big dig daddy

the third one.

explanation:

for it to be a function an x-value can never be the same. so therefore it’s the 3rd one.
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