If a toy rocket is launched vertically upward from ground level with an initial velocity of 120 feet per second, then its height h after t seconds is given by the equation h(t) = -16t2 + 120t. How long will it take the rocket to return to the ground?
A) 7.5 seconds
B) 16 seconds
C) 3.75 seconds
D) 120 seconds

Answers

Answer 1

Answer:

A) 7.5 seconds

Step-by-step explanation:

Height of the ground is zero

-16t^2 + 120t = 0

Divide both sides by 16

-t^2 + 7.5t = 0

Factor out t

t(-t + 7.5) = 0

From the zero product rule

t = {0, 7.5}

0 would be time of launch

7.5 is time back to the ground


Related Questions

what is the answer ..

Answers

Answer:

m = 5, -1/3

don't know if this is right or wrong

Answer:

if the questio is 3m-7 over 4 -2 than

Step-by-step explanation:

the awanser is 3/4m+ -15/4

B.
B.
6.4 cm
114 cm
15 cm
1.5 cm
8 cm

-
Find volume

Answers

Answer:

143.4

Step-by-step explanation:

Please someone brilliant answer this!!!
Eighteen plumbers can install 540 water lines in six weeks. How long will it take twelve plumbers to install the same number of lines?

Answers

It will take twelve (12) plumbers 9 weeks to install the same number of lines

From the question,

We have that, 18 plumbers can install 540 water lines in 6 weeks,

To determine how long it will take 12 plumbers to install the same number of lines,

First, we will determine how long it will take 1 plumber.

If 18 plumbers can install 540 water lines in 6 weeks

Then,

1 plumber will install 540 water lines in 18 × 6 weeks

18 × 6 weeks = 108 weeks

∴ It will take 1 plumber 108 weeks to install 540 water lines

Now, for the number of weeks it will take 12 plumbers

If 1 plumber can install 540 water lines in 108 weeks

Then,

12 plumbers will install 540 water lines in [tex]\frac{108}{12}[/tex] weeks

[tex]\frac{108}{12} = 9 \ weeks[/tex]

Hence, it will take twelve (12) plumbers 9 weeks to install the same number of lines

Learn more here: https://brainly.com/question/18880656

The length and breadth of a rectangles are in the ratio 8:5. If its perimeter is 104cm, find the length of the rectangle​

Answers

20.8 cm

so sorry if incorrect :(

This is algebra, functions, and data analysis

Answers

greater than: -2

Because x+2 ≥ 0 for the square root to not break, so x ≥ -2

Find the missing angles

Answers

Step-by-step explanation:

<3 = 47°, alternate angle.

<2 = 52° , alternate angle.

<5=180-47-52=81°, linear pair.

<1= 180-52=128°, alternate angle, linear pair.

<4= 180-47= 133°, alternate angle, linear pair.

hope this helps you.

If the f(x)=2x-1 and g(x)=x^2-1 find what the g(f(a-1)) is

Answers

Answer:

GOOD LUCK ON YOUR TEST YOU WILL DO GOOD

Step-by-step explanation:

Hel me please!
Find two points from this graph.

Answers

Answer:

-4,-8 : 8,8

Step-by-step explanation:

Which fraction is equal to
2/8
A. 1/4
B. 2/4
C. 3/4
D. 6/4
E. 4/8

Answers

Answer:

a

Step-by-step explanation:

because if you divide 8 by 2 the number 2 goes into 8 4 times so 4 divided by 1 is 4 because 1 goes into 4 4 times

Answer:

a

Step-by-step explanation:

half the fraction

8%2=4

2%2=1

1/4

If line AB is congruent to line CD then CD is congruent to AB what property

Answers

Transitive property

845 + 68 =.....￴ ￴ ￴￴ ￴￴ ￴ ￴​

Answers

Answer:

777

Step-by-step explanation:

Answer:

913

good luck <3

help plssssssssssssssssssssssssssssssssssssz

Answers

Answer:

2x+y=-10

Step-by-step explanation:

Ordered pairs are ordered as (x,y) What is the constant of proportionality
for the ordered pair (-2,18)?

Answers

i dont k n o w w w

s o r r y

Marsha is twice as old as Karli. The sum of their ages seven years ago was 13. How old
are they now?

Answers

Answer:

20

Step-by-step explanation:

the twis old as karli

the sum of their ages 7 years ago

13+7=20

write each of the following in the form of a x + B Y + C is equal to zero and find the values of a b and c ​

Answers

Step-by-step explanation:

(i) 2x = 5

compare with ax+by+c = 0

→ 2x + 0.y - 5 = 0

» a = 2 ,b = 0 ,c = -5

(ii) y - 2 = 0

compare with ax + by + c = 0

→ 0.x + 1y -2 = 0

» a = 0 , b = 1 , c = -2

(iii) y/7 = 3

y = 3×7

y = 21

y - 21 = 0

compare with ax + by + c = 0

→ 0.x + 1y -21 = 0

» a = 0 , b = 1 , c = -21

(iv). x = -14/13

13x = -14

13x + 14 = 0

compare with ax + by + c = 0

→ 13x + 0.y + 14 = 0

» a = 13 , b = 0 , c = 14

I need help!!! Can you figure this out?

Answers

Answer:

128 degrees

Step-by-step explanation:

38+90=128

Evaluate the expression when x= -7. x²+4x-3​

Answers

The answer is 18
-7^2+4(-7)-3
49+(-28)-3
21-3
18

49+(-29)-3.Answer:

The answer is -80

Step-by-step explanation:

1. What I did first was plug in -7 into "x", so then your  expression is[tex](-7^{2} )+4*(-7)-3[/tex]

2. Then you multiply 7 two times and get - 49... So then you have -49+4(-7)-3

3. Then you multiply the 4 and -7 and get -29... So now you have -49+(-29)-3

4. Then you add -49 and -29. but keep the negative and get -77... so now you have -77-3

5. Then you add -77-3 but keep the negetive and get -80.

I hope this helps... have a wonderful day.

Find the unknown sizes of angles:​

Answers

First we find X:
3x+x=180
4x=180
x=180/4
x=45.

3x=135

135+y=180
y=180-135
y=45

45+z=180
z=180-45
z=135

In conclusion, x=45, 3x=135, y=45 and z =135

Also note that the opposite angles are equal so you can just find 3x and that will be equal to z and x will be equal to y.

Hope this helped

Step-by-step explanation:

We have ,

x = y ( vertically opposite angles ) 3x = z ( ,, )

As we know ,

Complete angle = 360° x + y + 3x + z = 360° x + x + 3x + 3x = 360° 8x = 360° x = 45°

Hence ,

x = 45° y = x = 45° z = 3x = 45*3 = 135° 3x = 135°.

What’s 2+2 as a decimal

Answers

Answer:

4.0

Step-by-step explanation:

the correct answer is 4.0


From the graph, write the linear equation in slope-intercept form

Answers

Answer:

y = -3x + 1

Step-by-step explanation:

slope intercept form -> y=mx+b

you can find your slope, m, by doing rise over run ( up 3, left one -> -3/1 )

you can find your y-intercept, b, by just looking at the y axis ( 0,1 -> 1 )

from there you just plug in the values

y = m ( slope ) x + b ( y-intercept )

y = -3x + 1

Hooke’s Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?

Answers

Answer:

7.5m

Step-by-step explanation:

Set up a proportion and cross multiply to find the unknown

Hope this helps

The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given question,

Elongation of spring in 180 newtons = 5 cm

The ratio of elongation to force applied = 5/180

The force the second time is 270 newtons.

Let's say the elongation at this time is x cm.

The ratio of elongation to force applied = x/270

Both ratios must be the same.

Therefore,  x/270 = 5/180

x = 270/36 = 7.5 cm

Hence "The elongation of spring by 170 newtons force maintaining the given ratio is 7.5 cm".

For more information about ratios and proportions,

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if two angle of a right angle triangle are in the ratio 1:2,find them​

Answers

Answer:

let the angles be x,2x

=>90+x+2x=180

=>3x=90

=>x=30

so, the angles are 30,60

let the angles be x,2x

=>90+x+2x=180

=>3x=90

=>x=30

so, the angles are 30,60

precalculus question please help

Answers

Answer:

It is the 1st one x=6, y=2

Step-by-step explanation:

you find this out by comparing the degrees in the numerator and the denominator. Have a nice day!!!

Which equation represents a proportional relationship?
A. 1/4x + y = 10
B. y = 1/4x
C. y = 1/3x + 1

Answers

B. y = 1/4x

The equation has no y intercept so the line goes through the origin and it’s saying that as x increases by 1/4, y increases by 1

Factorise; 2 cubed multilpied by 2 squared

Answers

Hello Harry4Hudson!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Factorise; 2 cubed multilpied by 2 squared.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Firstly let's change the statement to a numerical expression.

[tex] \cdot\sf \: 2 \: cubed = 2 ^{3} \\ \cdot\sf \: multiplied \: by = \times \\\cdot\sf \: 2 \: squared = 2 ^{2} \\ \\ \sf \: So, \: the \: expression \: becomes \rightarrow \boxed{\tt {2}^{3} \times {2}^{2} }[/tex]

__________________

[tex]2 ^{3} \times 2^{2} [/tex]

To solve this, we must know that while multiplying exponents which have a same base we must take their base as common & add the exponents.

[tex]2 ^{3} \times {2}^{2} \\ = (2) ^{3 + 2} \\ = \underline{\underline{ 2 ^{5} }}[/tex]

We got 2⁵. Now, multiply 2 five times to get the answer.

[tex] {2}^{5} \\ = 2 \times 2 \times 2 \times 2 \times 2 \\ = \huge \boxed{\boxed{\bf 32}}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

Hey there!

2 cube multiplied by 2 squared

= 2³ × 2²

= (2 × 2 × 2) × (2 × 2)

= 8 × 4

= 32.

Hope it helps ya!

F(0)=4-8x indicate value

Answers

f(0)=4-8x
f(0)=4-8(0)
f(0)=4

Answer:

f(0) = 4

Step-by-step explanation:

F(x) = 4-8x

We know that f(0) = 4-8x

Thus we sub 0 for the x value, resulting in;

f(0) = 4-8(0)

f(0) = 4-0

f(0) = 4

Hayami was riding her bike on a loop that is 15/16 mile long. she rode for 3/4 mile and then stopped to rest she rode another 1/8 mile and then has a flat tire. how far does Hayami have to walk her bike to complete the loop?

A.1/16 mile
b.1/32
c. 3/16
d. 1/8

Answers

1/16 mile

3/4 = 12/16

1/8 = 2/16

12/16 + 2/16 = 14/16

1/16 Mile left to walk

Hayami has to walk her bike Option A) 1/16 mile to complete the loop.

Hayami rode a total of 3/4 + 1/8 = 7/8 mile before getting a flat tire. To complete the loop, she needs to cover the remaining distance of the loop, which is

= 15/16 - 7/8

= 15/16 - 14/16

= 1/16 mile.

Thus, Hayami has to walk her bike 1/16 mile to complete the loop. Therefore, the correct answer is 1/16 mile.

To find out how far Hayami has to walk her bike to complete the loop, we need to calculate the remaining distance after she rode her bike before stopping for a rest and getting a flat tire.

1. First, we calculate the distance Hayami rode before stopping for a rest:

  She rode 3/4 mile.

2. Then, we calculate the distance she rode after stopping for a rest but before getting a flat tire:

  She rode 1/8 mile.

3. Now, let's find out the total distance she rode:

  = 3/4 + 1/8

  = 6/8 + 1/8

  = 7/8 mile.

4. The length of the loop is \(15/16\) mile.

5. To find the remaining distance to complete the loop, subtract the distance she rode from the total loop length:

  = 15/16 - 7/8

  = 15/16 - 14/16

  = 1/16 mile.

6. Therefore, Hayami has to walk her bike 1/16 mile to complete the loop.

In conclusion, the correct answer is 1/16 mile (Option A).

To know more about Distance here

https://brainly.com/question/28747400

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Complete Question

Choose the correct answer from the given options:

Hayami was riding her bike on a loop that is 15/16 mile long. she rode for 3/4 mile and then stopped to rest she rode another 1/8 mile and then has a flat tire. how far does Hayami have to walk her bike to complete the loop?

A.1/16 mile

b.1/32 mile

c. 3/16 mile

d. 1/8 mile

20% of the tickets sold at a water park were child tickets. If the park sold 50 tickets in all,
how many child tickets did it sell?
tickets

Answers

Answer:

= 10 tickets

Step-by-step explanation:

= 20% × 50

= 20/100 × 50

= 1000/100

= 10

giving brainly if correct!! - select the unit rate​

Answers

Answer:

2nd option.

Step-by-step explanation:

Please help I have 15 minutes left for my assessment. Thank you!

Answers

Answer:

57kg

Step-by-step explanation:

We need to find the length of each piece of metal:

We already know that 2 of them are 6m and 8m and this would be the same for the pieces of metal opposite.

So we have four lengths - 6m, 6m, 8m, and 8m

To find the last length, we need to use pythagoras theory

a² + b² = c² where c is the slanted side, or the diagonal

6² + 8² = c²

36 + 64 = 100

c² = 100

c = √100 = 10

So the five lengths are 6m, 6m, 8m, 8m, and 10m and the total is 38m

If:

1m = 1.5kg

38m = ?kg

We have to multiply both sides by 38

1m × 38 = 38m

1.5kg × 38 = 57kg

So, the total weight of metal in the frame is 57kg

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