2. A rocket is shot upward with an initial velocity of 40 feet per second. Its height above the ground after t seconds is given by h= 40t - 16t?. What is its maximum height? When will it retum to earth?

Answers

Answer 1

Answer:

24

Step-by-step explanation:

All you have to do is subtract....

Ask yourself hmmm... what is 40t - 16t. 40-16 24t

                                    And there you have it as your answer have a nice day!

Answer 2

The maximum height the will rocket achieve is 21.76 feet and the time taken to return to the earth is 8/5 seconds.

What is velocity?

Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.

Average velocity can be given as;

Average velocity = total distance / total time taken

As per the given,

Velocity v = 40 feet/second

Height at time t as,

h = 40t - 16t²

Since, velocity = distance /time

dh/dt = velocity

dh/dt = 40 - 2 x 16 = 40 - 32t

v = 40 - 32t

At maximum height velocity will be zero,

40 - 32t = 0

32t = 40

t = 32/40 = 4/5 seconds

Maximum height = 40(4/5) - 16(4/5)²

Maximum height = 32 - 10.24 = 21.76 feet per second

Time taken = 2 x 4/5 = 8/5 seconds

Hence "The maximum height will rocket achieve is 21.76 feet and the time taken to return to the earth is 8/5 seconds".

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Related Questions

need help please asap!

Answers

Answer:

40 degrees

Step-by-step explanation:

90 degrees-50 degrees is equal to 90 degrees.

Answer:

a = 40°

Step-by-step explanation:

Since the total angle measurement is 90°, you can tell by the square indicator in the bottom right, you need to subtract 90 by 50. Doing to gives you 40. You can check by reversing this process. 50 + 40 = 90

Look at the three dimensional solid below

Answers

Answer:

A.

Step-by-step explanation:

Answer: A

Step-by-step explanation:

A rain barrel has a diameter of 18 inches and a height of 3 feet. Find the total surface area to the nearest hundredth

Answers

Answer:

8.25 feet approx

Step-by-step explanation:

Given data

Diameter= 18inches to feet= 1.5 feet

radius= 1.5/2= 0.75 feet

Height= 3 feet

The expression for the total surface area of the barrel(cylinder) is given as

TSA= 2πrh+2πr^2

substitute

TSA= 2*3.142*0.75+ 2*3.142*(0.75)^2

TSA= 4.713+ 6.284*0.5625

TSA= 4.713+ 3.53475

TSA= 8.25 feet

Hence the TSA is 8.25 feet approx

3 times 3 times 9 times 10 Equals??

Answers

Answer:

810

Step-by-step explanation:

3 x 3 x 9 x 10 = 810 [times means multiply]

810.

3 X 3 = 9

9 X 9 = 81

81 X 10 = 810

Hope this helps and have a nice day.

-R3TR0 Z3R0

(50Pts) When using the vertical method to multiply polynomials, your like terms must be lined up in ____________.

descending order
ascending order
columns
rows

Answers

I think you line them up in columns

Answer:

C. Columns

Step-by-step explanation:

It's correct, I took the test and got it right.

juan sells raffle tickets at a charity event for $6 each.How many tickets does he have to sell to make $1114?

Answers

Answer:

186

Step-by-step explanation:

1114/6=185.6

then you round it cuz u cant sell .6 of a ticket

186

1114/ 6 = 185.6 round to 186

Mrs. Warren has b boxes of Girl Scout cookies that
she wants to distribute to the members of her troop. If
she gives each girl 4 boxes, she will have 11 boxes left
over. If she wanted to give each student 5 boxes, she
would need an additional 12 boxes. How many girls
are in Mrs. Warren's Girl Scout troop?
A) 12
B) 23
C) 27
D) 32

Answers

Answer:

B) 23

Step-by-step explanation:

23 girls x 4 boxes each = 92 boxes

92 + 11 extra = 103

23 girls x 5 boxes each = 115 boxes

115 - 12 = 103

Mrs. Warren has 103 boxes and 23 girls in her Girl Scout troop.

Mrs. Warren has 103 boxes and 23 girls in her Girl Scout troop. so option B is correct.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given; Mrs. Warren has b boxes of Girl Scout cookies that she wants to distribute to the members of her troop.

If she gives each girl 4 boxes, she will have 11 boxes left over then,

23 girls x 4 boxes each = 92 boxes

92 + 11 extra = 103

If she wanted to give each student 5 boxes, she would need an additional 12 boxes then,

23 girls x 5 boxes each = 115 boxes

115 - 12 = 103

Hence, Mrs. Warren has 103 boxes and 23 girls in her Girl Scout troop. so option B is correct.

Learn more about the unitary method;

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CAN SOMEONE PLEASE ANSWER THIS ONE? I NEED HELP. I WILL GIVE BRAINIEST!

Answers

Answer:

d

its by 5

Step-by-step explanation:

5÷5=1

10÷5=2

15÷5=3

20÷5=4

25÷5=5

What is the volume of a spherical water balloon with a radius of 3 inches?

Answers

Answer:

volume of a spherical water balloon=4/3πr³=4/3×π×3³=36π or 113.14in³

what is 35.7/0.07 x 100/100​

Answers

Answer:

510

Step-by-step explanation:

100 / 100 = 1

35.7/0.07 = 510

510 * 1 = 510

Help me with this :))))))))

Answers

Answer:

19.1

Step-by-step explanation:

6.6 + 12.5 = 19.1

Answer:

19.1

Step-by-step explanation:

It is adding PQ to QR which added up to 19.1

In △ ABC and △DEF, AC = DF, AB = DE and < A =

Pls help dont scam me pls....

Answers

Answer:

∠A = ∠D  (**but very important Δ ABC has to be congruent to Δ DEF)

Step-by-step explanation:

It will help if you draw the triangles out and label the same sides. Then according to the side-angle-side (SAS) rule, ∠A should be equal to ∠D

What number is the opposite of the opposite of -99?

Answers

Answer:

Step-by-step explanation:

99

Answer: the opposite of -99 is 99 if your doing the absolute value

Step-by-step explanation:

AABC is dilated by a factor of 1/2 to produce AA'B'C',


What is BC, the length of BC after the dilation? What is the measure of ZA?

A. B'C' = 32, m2A = 28°
B. B'C' = 17. m2A=62
C. B'C' = 8. m ZA=28
D. B'C' = 8. m ZA' = 14

Answers

Answer:

your answer will be C. B´C=8. m ZA=28

Step-by-step explanation:

hope it helps have a nice day

After dilation of ΔABC, the length of B'C' = 8m and ∠A' = 28°.

What is Dilation?

Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

When the triangle undergoes dilation, the length of its sides gets multiplied by 1/2 (dilation factor) but the angles remain the same ( since, the shape has to remain same).

Learn more about dilation here,

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Braden logged 3 2/3 hours last week in his reading journal and 2 3/6 hours last week how many fewer hours did Brayden log in his reading journal this week then last week​

Answers

Answer:

1 1/6

Step-by-step explanation:

im guessing you need this fast so i wont explain it

Will mark brainliest!! please give me the right answer

Answers

Answer:

2 1/4 or 9/4

Step-by-step explanation:

Because if you add up all the fractions and simplify them they equal 5/4 and if u add the 1 gallon to it it equals 1 5/4 but thats not it 5/4 also makes up a whole gallon its self with 1/4 left over

what is the value of X?​

Answers

Answer:

Do you have a picture?

Step-by-step explanation:

Answer:

what is the math problem?

Step-by-step explanation:

Measure Math | Welcome, HAILEE KNOTT
What is another way to write 15 divided by 2?
15
O 15+2
O 15 x 2

Answers

Answer: [tex]15\times\frac{1}{2}[/tex]

Explanation:

Multiplying by 1/2 is the same as dividing by 2.

For example, if you have 10 slices of cake and 2 friends, then each friend gets 10/2 = 5 slices. We could also say [tex]10\times \frac{1}{2} = 5[/tex]

The fraction 1/2 converts to the decimal form 0.5, which means [tex]10 \times \frac{1}{2} = 10*0.5[/tex]

I need serious help with these 2 questions. I already used the first attempt and have 1 left so please help me

Answers

Answer:

c and full truat i nwver wrong

Answer:

1. 0.13

2.0.26

Step-by-step explanation:

1. In geometric probability, the probability of an event is based on a ratio of geometric measures such as length or area.

The area model is used here. The measures of various dimensions of the sample space and the included figures are given.

The sample space is the area of the large rectangle.

Find the area of the sample space.

Substitute the known values for the length, l=25

m, and width, w=17 m, into the formula for the area of a rectangle, A=lw

.

A=(25)(17)=425

m2

The probability that a randomly chosen point will lie either inside the trapezoid or inside the triangle is the sum of the individual probabilities.

The probability that a randomly chosen point will lie inside the trapezoid is equal to the ratio of the area of the trapezoid to the area of the large rectangle.

Find the area of the trapezoid.

Substitute the known values for the bases, b1=13

m and b2=8 m, and height, h=4 m, into the formula for the area of a trapezoid, A=12(b1+b2)h

.

A=12(13+8)(4)=42

m2

Find the probability that a point chosen randomly inside the rectangle is in the trapezoid.

P1=42425

The probability that a randomly chosen point will lie inside the triangle is equal to the ratio of the area of the triangle to the area of the large rectangle.

Find the area of the triangle.

Substitute the known values for the base, b=4

m, and height, h=7 m, into the formula for the area of a triangle, A=12bh

.

A=12(4)(7)=14

m2

Find the probability that a point chosen randomly inside the rectangle is in the triangle.

P2=14425

Sum the individual probabilities to find the probability that a point chosen randomly inside the rectangle is either in the trapezoid or in the triangle.

P=P1+P2

=42425+14425

=56425≈0.13

Therefore, the probability that a point chosen randomly inside the rectangle is either in the triangle or in the trapezoid is about 0.13

2.

In geometric probability, the probability of an event is based on a ratio of geometric measures such as length or area.

The area model is used here. The measures of various dimensions of the sample space and the included figures are given.

The sample space is the area of the large rectangle.

Find the area of the sample space.

Substitute the known values for the length, l=16

m, and width, w=11.8 m, into the formula for the area of a rectangle, A=lw

.

A=(16)(11.8)=188.8

m2

The probability that a randomly chosen point will lie either inside the triangle or inside the circle is the sum of the individual probabilities.

The probability that a randomly chosen point will lie inside the triangle is equal to the ratio of the area of the triangle to the area of the large rectangle.

Find the area of the triangle.

The height of the triangle equals 11.8−7.3=4.5

m

.

Substitute the known values for the base, b=8

m, and height, h=4.5 m, into the formula for the area of a triangle, A=12bh

.

A=12(8)(4.5)=18

m2

Find the probability that a point chosen randomly inside the rectangle is in the triangle.

P1=18188.8

The probability that a randomly chosen point will lie inside the circle is equal to the ratio of the area of the circle to the area of the large rectangle.

Find the area of the circle.

The radius is half of the diameter. So, r=6.22=3.1

m

.

Substitute the known value for the radius, r=3.1

m, into the formula for the area of a circle, A=πr2

.

A=π(3.12)=9.61π

m2

Find the probability that a point chosen randomly inside the rectangle is in the circle.

P2=9.61π188.8

Sum the individual probabilities to find the probability that a point chosen randomly inside the rectangle is either in the triangle or in the circle.

P=P1+P2

=18188.8+9.61π188.8

=18+9.61π188.8≈0.26

Therefore, the probability that a point chosen randomly inside the rectangle is either in the circle or in the triangle is about 0.26

.

Does anyone know how to solve this?

Answers

Answer:

<30,-20>

Step-by-step explanation:

4u + 2v

4< 6,-4> + 2< 3,-2>

<24,-16> + < 6,-4>

<30,-20>

PLEASE HELPPPPP!!!!!! Solve each equation. Check your solution. (Please help! I will give brainliest to whoever answers them all!)
1. -1/2 = -6/18h
2. 16 = 3/10 a
3. 3/5 x = 12
4. 15/7y = 3
5. 14/3 = -7/9b

Answers

1) Answer:

[tex]h = \frac{3}{2} [/tex]

2) Answer:

[tex]a = \frac{160}{3} [/tex]

3) if you mean,

[tex] \frac{3}{5} x = 12[/tex]

Then the answer is. x = 20.

but, if you mean

[tex] \frac{3}{5x} = 12[/tex]

then the answer would be, x = 1/20.

4) Answer:

[tex]y = \frac{5}{7} [/tex]

5) If you mean,

[tex] \frac{14}{3} = - \frac{7}{9b} [/tex]

then the answer would be, b = -1/6

but if you mean,

[tex] \frac{14}{3} = - \frac{7}{9} b[/tex]

then the answer would be, b = -6

The diameter of a circle is 7 ft. Find its area to the nearest tenth.

Answers

Answer:

38.5ft²

Step-by-step explanation:

we know the formula for Area is

A=pi*r²

A=38.5

Isabell watch the movie that was four hours long. She stood up every 1/4 hours to stretch your legs. How many times it Isabell stand up during the movie?

Answers

Answer:

16

Step-by-step explanation:

The quadratic equation x2 + 28 = 64 has two solutions.
Write the of the two smaller solution is X =larger solution is X=

Answers

Answer:

X=6 x=6

Step-by-step explanation:

[tex]x^{2} +28=64[/tex]

subtract 28

[tex]x^{2} =36[/tex]

Square Root

[tex]\sqrt{x^{2} } =\sqrt{36}[/tex]

Remember + or -

x=6 or -6

Answer:

x=-6, 6

Step-by-step explanation:

Subtract 64 from both sides

x^2-36=0

Uses difference of squares

(x-6)(x+6)

x=-6, 6

Write an equation of the line that has the given properties
Slope:-1, y intercept:2

Answers

Answer:

y=-x+2

Step-by-step explanation:

y=mx+b form means m=slope and b= y intercept

Answer:......

Y= -X+2

negative 4 and negatice3 equals 12 true or false

Answers

if you’re multiplying the two then it’s true

find the smallest natural number by which 1008 should be multiplied to make it a perfect square​

Answers

Answer:

7

Step-by-step explanation:

Therefore 1008 must be multiplied by 7 to make it a perfect square.

PLEASE DONT SEND LINK JUST ANSWER IT Monica goes to Target. Her items total to $150. She gets a 5% DISCOUNT from using her Target credit card.

She must pay 7% SALES TAX. How much will she pay in all?

Answers

$99.75

Step-by-step explanation:

$150(.5)=$7.50. 150.00-7.50 =142.50 ( 7)=99.75

Write eight thousand two hundred fifteen ten-thousandths in decimal form

Answers

Answer:

8,215

Step-by-step explanation:

I think thats' it , could be wrong

Answer:

8,215.001

Step-by-step explanation:

First look at each chunk of the question and split up the question into easily readable sections. Make sure you do not confuse the first decimal place as a ones place.

I need help with these questions (see image). Please show workings.

Answers

Answer:

24 cm

Step-by-step explanation:

The altitude from the centre to the chord is 5 cm and bisects the chord.

The radius of the circle is 26 cm ÷ 2 = 13 cm

There is a right triangle formed with legs 5 and x ( x is half the chord )

The hypotenuse is the radius, then using Pythagoras' identity

x² + 5² = 13²

x² + 25 = 169 ( subtract 25 from both sides )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

Then

length of chord = 2x = 2 × 12 = 24 cm

Answer:

24 cm

Step-by-step explanation:

The  chord, if the ends connected with the center, form an isosceles triangle with two sides being a radius of the circle.

We have:

Length of chord = xHeight of triangle = h = 5 cmRadius = r = 26/2 = 13 cm

From the triangle we get:

(x/2)² + h² = r²x²/4 + 5² = 13²x²/4 = 144x/2 = 12x = 24

The length of the chord is 24 cm

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