A ball is thrown from an initial height of 3 feet with an initial upward velocity of 21 ft/s. The ball height h (in feet) after t seconds is given by the following. h=3+21t-16t^2 find all values of t for which the balls height is 9 feet.

Answers

Answer 1

Answer:

Step-by-step explanation:

The position equation is given as

[tex]s(t)=-16t^2+21t+3[/tex] and we are looking for the times when the position of the ball is 9 feet. That means that we simply plug in a 9 for s(t) and factor to solve for t:

[tex]9=-16t^2+2t+3[/tex] and

[tex]0=-16t^2+21t-6[/tex] and this is what we factor to find t:

t = .42 sec and then again on its way back down at t = .89 sec


Related Questions

100 Brainly points!!!!

In the figure, polygon ABCD is dilated by a factor of 2 to produce A’B’C’D’ with the origin as the center of dilation.

Point A’ is at _ options > •(2,1), (-2,-2), (1,2), (-2,2)•

& point D is at _ options > (-2,2), (4,-2), (4,2), (-2,-2).

Answers

Answer:

Point A’ is at (-2,-2)

& point D' is at (4,-2)

Step-by-step explanation:

Point A’ => (-1×2, -1×2) => (-2 , -2)

Point D' => (2×2 , -1×2) => (4 , -2)

A is at (-1,-1)

So A' is at

2(-1,-1)(-2,-2)

D is at

(2,-1)

D' is at.

2(2,-1)(4,-2)

A small town experienced an explosive population increase Originally the town had population 170 within 3 years the town's population increased by 400% what is the town current population

Answers

Answer:

Step-by-step explanation:

We need to first find out how much 400% of 170 is and then add that increase to the original 170 people.

4(170) = 680 and

680 + 170 = 850 people after 3 years.

Cos15°°- Sin 15°= 1/√2​

Answers

Refer this attachment

Hope it's help you

A line contains the points (2,4) and (−6,−2).

Which equation represents the line?






a. y+2=4/3(x+6)

b. y−2=3/4(x−6)

c. y−2=4/3(x−4)

d. y−4=3/4(x−2)

Answers

Answer:

D) y-4=3/4(x-2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-4)/(-6-2)

m=-6/-8

simplify

m=3/4

y-y1=m(x-x1)

y-4=3/4(x-2)

Please help with question 2

Answers

Answer:

Step-by-step explanation:

7*(4) - 2(-3) - (-3)^2

28 +  6 - 9

34 - 9 = 25

Determine the number of solutions to the given system without graphing. 2x + y = 2 2x +y = 5
one solution
no solution
infinite number of solutions

Answers

Infinite number of solutions I believe.

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The two lines are parallel, so do not intersect. There is no solution.

12. Mr. Ellis bought several rose bushes
for $65 each. He was charged a $15
delivery fee. If r represents the number
of rose bushes, which expression
can be used to find the total cost of
Mr. Ellis' purchase?
A 150 - 65
B 65r + 15
c 15(r + 65)
D 651 - 15

Answers

Answer:

B

Step-by-step explanation:

Because every rose bush costs $65 and it's charged with a $15 delivery fee.

I’ll give u brainlest if u answer this question

Answers

The answer for the question is going to be 25in

Please help ASAP!!!

Answers

Answer:

C.

Step-by-step explanation:

When you replace x with x - h, the graph shifts h units horizontally.

Here, x is replaced by x - 12.

Compare x - 12 to x - h.

h = 12

The graph shifts 12 units to the right.

Answer:

answer maybe A..not sure but it might be in my opinion..

Out of 90 civil servants, 65 were working in the office, 50 were working in the field and 35 were working in both the premises (sites). How many civil servants were absent? How many civil servants were working in the field only? Represent the above information in the Venn diagram. 1​

Answers

Answers:

10 people absent15 people working in the field onlySee the below image for the venn diagram

=======================================================

Explanation:

35 people are working in both places. 50 work in the field or both, so 50-35 = 15 people work solely in the field. 65 work in the office or both, so 65-35 = 30 people work solely in the office

So far that accounts for 15+30+35 = 80 people who work in the field, the office, or both.

The remaining 90-80 = 10 people are absent.

The venn diagram is below.

cort
Here are ten numbers:
3 7 2 4 7 5 7 1 8 8
Write down the mode.
b)
Work out the median.
c)
Calculate the mean.
What is the range?

Answers

Answer:

The mode is 7 and 8

The mean is 5.2

The range is 7

Helppppp which one is it?

Answers

c because of the step by step explanation an i’m sorry

Solve the equation on the interval (0,2pi). Write your answer in exact simplest form.

[tex]cos6x-5sin3x+2=0[/tex]

Answers

9514 1404 393

Answer:

  x ∈ {π/18, 5π/18, 13π/18, 17π/18, 25π/18, 29π/18}

Step-by-step explanation:

Using the trig identity ...

  cos(2x) = 1 -2sin²(x)

we can rewrite the equation as ...

  (1 -2sin²(3x)) -5sin(3x) +2 = 0

  2sin²(3x) +5sin(3x) -3 = 0 . . . . . standard form

  (sin(3x) +3)(2sin(3x) -1) = 0 . . . . factored form

There are no real values of x that will make the first factor zero. The second factor is zero when ...

  sin(3x) = 1/2

  3x = arcsin(1/2) +2nπ   or   (2n+1)π -arcsin(1/2)

  x = 1/3(π/6 +2nπ)   or   1/3((2n +1)π -π/6)

  x = (12n+1)π/18  or  (12n+5)π/18

  x ∈ {π/18, 5π/18, 13π/18, 17π/18, 25π/18, 29π/18}

Y=4x pls help pls help

Answers

(1,4),(3,12),(5,20) since (x,y)

Answer:

(1,4) , (3,12) , (5,20)

Step-by-step explanation:

You should put the first number in X and find the second number from equation.

If f(x) = 3x⁴ - 13x, find f(-2)​

Answers

Answer:

answer is

74....................

No step by steps or links please

Answers

Answer:

Six at top, ten at second, twenty-seven at third, and four at bottom.

Should I get my nose pierced??

Answers

Answer:

no...you can just use a clip on

Answer:

it's absolutely worth it. The pain of getting one isn't that bad, at least for me. It's just a quick pinch. It'll look so good. Just make sure you are also cleaning it.

Step-by-step explanation:

mnv
[tex]2 \times \frac{7}{?} = 4[/tex]

Answers

Answer:

? = 7/2

Step-by-step explanation:

? = x

a denominator can’t be equal to 0

x ≠ 0

14/x = 4

14 = 4x

x = 7/2

Graph the image of Kite BCDE after a translation 5 units down.​

Answers

Answer:

Step-by-step explanation:

please help ill give brainliest I need this answer​

Answers

Answer:50

Step-by-step explanation:8+7x =9x-4 2x =12 x =6 so 8+42=50

Answer:

50°

Step-by-step explanation:

These 2 angles are vertically opposite, meaning they equal each other.

This gives the equation 9x-4=7x+8.

Subtracting 7x from both sides gives 2x-4=8.

From there, you want to add 4 to both sides, leaving 2x=12.

In order to isolate the x, divide both sides by 2. This creates a final result of x=6.

We want to find the angle given by 8+7x. Since we know x, we can sub it with its value (6). This makes the equation 8+7×6.

We can then solve this to 8+42, and even further to 50°.

**This content involves transversals and solving algebraic equations, which you may wish to revise. I'm always happy to help!

A group of 5 students was asked, "How many hours did you watch television last week?" Here are their responses:
14, 6, 18, 15, 13
Find the median and mean number of hours for these students.
If necessary, round your answers to the nearest tenth.
Median: hours
?
Mean: [hours

Answers

The answer is this because it is 30

PLEASE ANSWER DUE IN 20 MINUTES

Answers

x= 60 degrees :)

you have to add the two angles of the triangle together.. and then subtract that number by 180… then since the lines are parallel.. it is the same angle… i hope that makes sense :))

Need help with practice problem please

Answers

the answer would be x=3, y=6, z=-3 or 3,6,-3

What is the first step in using the square root property?

Answers

Answer: Isolate the term that contains the squared variable. Then, take the square root of both sides and solve.

Step-by-step explanation:

To solve an equation by using the square root property, you will first isolate the term that contains the squared variable. You can then take the square root of both sides and solve for the variable. Make sure to write the final answer in simplified form.

In AUVW, W = 840 cm, u = 350 cm and ZV=63º. Find the area of AUVW, to the
nearest square centimeter.

Answers

Answer:

[tex]Area = 130977cm^2[/tex]

Step-by-step explanation:

Given

[tex]W=840[/tex]

[tex]U = 350[/tex]

[tex]\angle V = 63^o[/tex]

Required

The area

The area is calculated as:

[tex]Area = \frac{1}{2}UW\sin(V)[/tex]

So, we have:

[tex]Area = \frac{1}{2}*350*840*\sin(63^o)[/tex]

[tex]Area = \frac{1}{2}*350*840*0.8910[/tex]

[tex]Area = 130977cm^2[/tex]

A workbench for a motorcycle is in the shape of parallelogram IJKL. The motorcycle is
raised and lowered as the angles of the parallelogram change. Which statement is
correct?



ZJ and ZL are supplementary
ZJ and ZK are congruent.
65° K
ZJ and ZK are supplementary
ZI and ZL are congruent.

Answers

Answer:

J and K are supplementary

Step-by-step explanation:

Given

The attached image

Required

The true statement

From the attached image, it is hard to determine the values of angles I and L as there are no enough information to determine their values.

However, J and K can be worked easily.

From the image

[tex]J = 65^o[/tex] --- vertically opposite angles

And:

[tex]K + 65^o = 180^o[/tex] ---- angle on a straight line

Substitute: [tex]J = 65^o[/tex]

[tex]K + J = 180^o[/tex]

When two angles add up to 180, the angles are supplementary.

Hence, (c) is correct

Một hộp đựng 10 phong bì bốc thư trúng thưởng trong đó 3 phong bì đựng 500 nghìn 7 phong bì đựng 100 nghìn. Bốc ngẫu nhiên liên tiếp hai phong bì. Nếu biết phong bì thứ hai có 500 nghìn, tìm xác xuất để phong bì đầu tiên cũng có 500 nghìn?

Answers

I can't understand tell me in english

can you do 3 pages of work for me?

Answers

Answer:

if it is easy i can do it

hope it helps

Answer:

3

Step-by-step explanation:

I will help

how to solve letters and numbers in a box

Answers

It depends on what its asking for and what dimension it is. If its 2D, the area is lengthXwidth, and perimeter you would add all the side lengths. If its 3D, volume is lengthXwidthXheigth.

ASAP!!! Use the relationships in the diagrams below to calculate the the values of the variables if possible part. B

Answers

Answer:  y = 57°;

               Angle Values: 66° and 114°.

Step-by-step explanation:

The sum of the corresponding angles is 180°.

y + 9 + 2y = 180

3y = 180 - 9

3y = 171

y = 57

Angle Values:

57° + 9° = 66°

57° · 2 = 114°

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