PLEASE HELP I NEED THE ANSWER BY 3PM EST ON 3/3/21
How do you find the time an object is at a certain height algebraically? For example, given the function h(t) = -16t2 +32t represents the height of a ball thrown from ground level. How do you find the time when the ball is 10 feet above the ground? Explain in your own words.

Answers

Answer 1

9514 1404 393

Explanation:

To find the time, substitute the height for h(t), then solve the quadratic equation for t.

___

To solve the equation, you subtract the height from both sides, then use the quadratic formula. In generic terms, this looks like ...

  -16t^2 +32t -h = 0

  t = (-32±√(32^2 -4(-16)(-h)))/(2(-16))

  t = (-32 ± √(1024-64h))/-32

  t = 1 ± √(1 -h/16)

For h = 10 ft, the times are ...

  t = 1 ± √(3/8) ≈ {0.388, 1.612} . . . . seconds

__

Using the quadratic formula is not the only way to solve a quadratic. One of my favorite methods is using a graphing calculator.

PLEASE HELP I NEED THE ANSWER BY 3PM EST ON 3/3/21How Do You Find The Time An Object Is At A Certain

Related Questions

A company was able to increase its staff from 200 employees to 348
employees. What was the percentage increase in staff?

Answers

Answer:

The percent increase is 74%

Step-by-step explanation:

Copy and Paste

The answer 74% i agree with the other poster

2) What angle measurement will make the value of sine and cosine
equal?
A) 30°
B)
45°
C) 60°
D 90°

Answers

The answer is D because Sine and cosine equals 90.

If the area of a rectangle is

(15x2 - 16x - 15) square feet,

and its length is (3x - 5) feet,

find its width.

Answers

(5x+3) is the width, its factors form is (5x+3)(3x-5)

As part of your exercise routine, you jog around the neighborhood block which is shaped like a right triangle. Your street, the hypotenuse of the triangle, is 850 feet long. If the total distance around your block is 2000 feet, what are the distances of the other two streets that enclose your block?

Answers

Answer:

The other distances are 400 ft and 750 ft.

Step-by-step explanation:

a + b + c = 2000

a + b + 850 = 2000

a + b = 1150     Equation 1

a^2 + b^2 = c^2

a^2 + b^2 = 850^2

a^2 + b^2 = 722,500     Equation 2

a + b = 1150

a^2 + b^2 = 722,500

a = 1150 - b

(1150 - b)^2 + b^2 = 722,500

1,322,500 - 2300b + b^2 + b^2 = 722,500

2b^2 - 2300b + 600,000 = 0

b^2 - 1150b + 300,000 = 0

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-(-1150) \pm \sqrt{(-1150)^2 - 4(1)(300,000)}}{2(1)} [/tex]

[tex] x = \dfrac{1150 \pm \sqrt{1,322,500 - 1,200,000}}{2} [/tex]

[tex] x = \dfrac{1150 \pm \sqrt{122,500}}{2} [/tex]

[tex]x = \dfrac{1150 \pm 350}{2}[/tex]

[tex] x = \dfrac{1500}{2}~~~or~~~x = \dfrac{800}{2} [/tex]

x = 750   or   x = 400

Answer: The other distances are 400 ft and 750 ft.

I'm in Algebra 1 and I need help with this, (show all working as well please)

Answers

Answer:

Step-by-step explanation:

All you do is  draw a line straight across 5x and then graph 1 which is right next to 5.

If 1700 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.

Answers

Answer:

[tex]V = 6746.30cm^3[/tex]

Step-by-step explanation:

Given

[tex]Surface\ Area = 1700cm^2[/tex]

Required

Determine the largest possible volume

Represent the dimension with:

[tex]Height = h[/tex]

[tex]Sides = x[/tex]

Surface Area with an open top is:

[tex]Surface\ Area = x^2+ 4hx[/tex]

Substitute 1700 for Surface Area

[tex]1700 = x^2+ 4hx[/tex]

Make h the subject

[tex]4hx = 1700 - x^2[/tex]

[tex]h = \frac{1700 - x^2}{4x}[/tex]

The volume (V) is calculated as:

[tex]V = x^2h[/tex]

Substitute value for h in [tex]V = x^2h[/tex]

[tex]V = x^2*\frac{1700 - x^2}{4x}[/tex]

[tex]V = x*\frac{1700 - x^2}{4}[/tex]

[tex]V = \frac{1700x - x^3}{4}[/tex]

[tex]V = \frac{1700x}{4} - \frac{x^3}{4}[/tex]

[tex]V = 425x - \frac{x^3}{4}[/tex]

[tex]V = 425x - \frac{1}{4}x^3[/tex]

Differentiate and equate to 0, afterwards

[tex]V' =425 - \frac{3}{4}x^2[/tex]

[tex]425 - \frac{3}{4}x^2 = 0[/tex]

[tex]\frac{3}{4}x^2 = 425[/tex]

Solve for [tex]x^2[/tex]

[tex]x^2 = 425 * \frac{4}{3}[/tex]

[tex]x^2 = 566.67[/tex]

Take the square root of both sides

[tex]x = \sqrt{566.67[/tex]

[tex]x = 23.80[/tex]

Substitute 23.80 for x in [tex]h = \frac{1700 - x^2}{4x}[/tex]

[tex]h = \frac{1700 - 23.80^2}{4*23.80}[/tex]

[tex]h = \frac{1133.56}{95.20}[/tex]

[tex]h = 11.91[/tex]

So, the largest possible volume is:

[tex]V = x^2h[/tex]

[tex]V = 23.80^2 * 11.91[/tex]

[tex]V = 6746.30cm^3[/tex]

geometry unit 5 homework 5

Answers

Answer:

Oh gosh- I'm learning geometry in school. IDEK WHATS HAPPENING! But where's the question? Is there supposed to be a file attached or something?

there is nothing attached

have a good day

If berry has 30 ounces of coke and sells each ounce for 8 bucks an ounce how many ounces do you get if you spend 13 dollars on coke.

Answers

Answer would be $104

What is the value of x?

Answers

Answer:

b. 17

Step-by-step explanation:

Answer:

x=17

Step-by-step explanation:

180=7x+28+33

180=7x+61

180-61=7x+61-61

119=7x

119÷7=7x÷7

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Answers

Answer:

The GCF of 4x^2 + 6x

is. (2x )

hope it helps

2x

The answer is 2 because it just it

WILL MARK AS BRAINLIEST PLEASE HELP!!!

Answers

Step-by-step explanation:

2x = y-10

Rewrite as: 2x + 10 = y

Therefore:

2x+10 = y

2x +7 = 2y

Subtract the equations:

 2x + 10 = y

- 2x + 7 = 2y

______________

          3 = -y

Therefore y = -3

Substiture y = -3 into the second equation:

2x + 7 = 2(-3)

2x + 7 = -6

2x = -13

x= -6.5

Answer : (-6.5, -3)

Answer:

(-13/2,-3)

Step-by-step explanation:

First you want to isolate y from 2x=y-10 or 2x+7=2y. In this case, I picked 2x=y-10 so I added 10 on each side to make y=2x+10. Because we know what y is equal to, we have to plug that into the other equation which is 2x+7=2y so the equation will look like 2x+7=2(2x+10). Simplify this to get 2x+7=4x+20. Simplify this again to get 2x=-13. Divide 2 by each side to get x=-13/2. Then, you have to -13/2 back into one of the equations. In this case, I picked 2x+7=2y so the equation will look like this. 2(-13/2)+7=2y. Simplify this to get -13+7=2y. Simplify again to get -6=2y. Simplify this again to get y=-3. Therefore, x=-13/2 and y=-3. To put it in ordered pair form which is (x,y). Plug that in to get (-13/2,-3).

If this has helped you, please mark the is brainliest

The surface area of this cube is 864 square yards. What is the value of q?

Answers

Answer:

Volume  

=

512

cubic feet

Explanation:  

A cube has  

6

faces all with equal area.

If the total surface area of the cube is  

384

sq.ft.

then each face has an area of  

384

÷

6

=

64

sq.ft.

Each face of a cube is a square and if we denote the length of an edge as  

E

then the area of a face (in this case  

64

sq.ft.) is equal to  

E

2

XXX

E

2

=

64

sq.ft.

XXX

E

=

8

sq.ft.

The volume of a cube with edges of length  

E

is  

E

3

In this case  

Volume

=

E

3

=

8

3

=

512

sq.ft.

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Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:  22.88 dollars

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

Work Shown:

x = total bill amount ignoring the tip

18% of x = 0.18x = tip amount

x+0.18x = 1.18x = amount Martin paid = 27

1.18x = 27

x = 27/1.18

x = 22.8813559322033 approximately

x = 22.88 dollars was the total bill.

----------

Checking the answer:

18% of 22.88 = 0.18*22.88 = 4.1184 = 4.12

Martin left a tip of $4.12

Add this on top of the bill to get 22.88+4.12 = 27

This matches with the fact he paid $27.

The answer is confirmed.

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Answers

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Step-by-step explanation:hope I helped

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer: 57.34
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Answers

Answer:

15 calories

Step-by-step explanation:

Number of calories in 8 ounces of orange juice = 100

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Answer:

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Step-by-step explanation:

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