The height, h, in feet of a ball above the ground is given by h= -16t^2+64t+80, where t is the time in seconds. How long does it take the ball to hit the ground?

A) 3 seconds
B) 4 seconds
C) 5 seconds
D) 6 seconds

Answers

Answer 1

Answer:

It is 5 seconds     option C

Step-by-step explanation:

When the ball would hit the ground, h would reduce 0.

We can equate the R.H.S to 0.

∴ 0= -16t²+64t+80

0 = t² - 4t - 5              (dividing both sides by -16)

0 = t²+t - 5t -5  (by splitting the middle term)

0 = t ( t+1) -5 (t+1)

0= (t-5) * (t + 1)

when t-5=0   ;   when t+1=0

t =5           ;          t= -1                    time cannot be -ve

∴ t= 5 seconds

Hope this helps you.

Answer 2

Answer:

C)  5 seconds

Step-by-step explanation:

Given equation:

[tex]h=-16t^2+64t+80[/tex]

where:

h = height of a ball above the ground (in feet).t = time (in seconds).

The ball hits the ground when the height is zero.  

Therefore, substitute h = 0 into the given equation and solve for t.

[tex]\begin{aligned}\implies -16t^2+64t+80 & = 0\\-16(t^2-4t-5) & = 0\\t^2-4t-5 & = 0\\t^2-5t+t-5&=0\\t(t-5)+1(t-5)&=0\\(t+1)(t-5)&=0\\\end{aligned}[/tex]

Apply the zero-product property:

[tex]\implies t+1=0 \implies t=-1[/tex]

[tex]\implies t-5=0 \implies t=5[/tex]

As time cannot be negative, t = 5 only.  

Therefore, it takes 5 seconds for the ball to hit the ground.


Related Questions

a box of cereal states that there in 93 calories in 1/4 cup serving. What is the unit for calories per cup? How many calories are there in two cups of the cereal?​

Answers

Answer:

372 calories per cup

744 calories in two cups

Step-by-step explanation:

unit rate: (per cup)

93*4= 372

In two cups:

372*2= 744

Hope this helps!

Someone pls help me I will make you as brain

Answers

Answer:

B: shift vertically up by 3

Step-by-step explanation:

I suggest using desmos graphing for future questions like these

Hope this helps :)

Answer this for 50 points

Answers

Answer:

This would be point M.

Step-by-step explanation:

Hope this helps!

Answer:

M

Step-by-step explanation:

(3.75, -2.25)

The first coordinate is the x coordinate which means left or right.

Since it is positive we go to the right 3.75 units

The second coordinate is the y coordinate which means up or down

Since it is negative we go down 2,25 units

The point is labeled M

Help ASAP I’ll mark you as brainlister

Answers

Answer: It would be about 10 cents an ounce.

Step-by-step explanation:

1.25/12 = ~.10

Cesar is excited that he only has 12 months left before he pays off his credit card completely. His current balance is $3,750 and his APR is 17.5%. But when he is involved in a car accident, he is forced to use his credit card to pay a $1,000 deductible to get his car fixed. How much will Cesar’s minimum monthly payment increase if he still wants to pay off his credit card in 12 months?
a.
$83.33
b.
$91.44
c.
$342.91
d.
$434.35

Answers

The answer is.

b.

$91.44

Answer:

✅ B. $91.44

i took the test⬇️

Please help me with algebra!!

Answers

Hello!

Answer:

-11

Hope this helps!

suppose river has new treats that are 10 calories each. how many of the new treats can she have and remain in her calorie range?

Answers

She can have at least 3 and at most 6 dog treats in a day

River can have - n = 10/y number of treats to remain in her calorie range, where the calorie range is [y] calories.

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have the following problem -

River has new treats that are 10 calories each. how many of the new treats can she have and remain in her calorie range.

Assume the calorie range to be [y] calories and assume she can have [n] number of treats. We can write the linear function as -

10n = y

OR

y = 10n

This this the equation of the straight line. She can have -

n = 10/y

number of treats to remain in her calorie range.

Therefore, River can have - n = 10/y number of treats to remain in her calorie range.

To solve more questions on straight lines, visit the link below-

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what is (4x+1)(2x-1)

Answers

I think the answer is 8x. I am not 100% sure

please see attachment below

Answers

Hey there!

Refer to the attached picture.

Hope it helps ya!

make q the subject of the formula 5(q+p)/2 = 3 + 4p

Answers

Answer:

q = [tex]\frac{6+3p}{5}[/tex]

Step-by-step explanation:

[tex]\frac{5(q+p)}{2}[/tex] = 3 + 4p ( multiply through by 2 to clear the fraction )

5(p + q) = 6 + 8p ← distribute parenthesis on left side )

5p + 5q = 6 + 8p ( subtract 5p from both sides )

5q = 6 + 3p ( divide both sides by 5 )

q = [tex]\frac{6+3p}{5}[/tex]

A large rectangle is made up of nine identical rectangles whose longer side equals 10. What is the area of the large rectangle?

Answers

• On the top row of rectangles, the length is 10 + 10 = 20
• The middle row has 5 rectangles with all of their short sides equaling the top row, 20
• So 5x = 20 where x is the short side of the rectangle
• x = 4
• So each rectangle’s area = 4 x 10 = 40
• There are 9 rectangles
• So 9 x 40 = 360 = area of the large rectangle
• We can check our work
• Large rectangle side 1 = 10 + 10 = 20
• Large rectangle side 2 = 4 + 10 + 4 = 18
• 18 x 20 = 360
Answer:  360 square units

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

Explanation:

Refer to the diagram below.

A small rectangle has its longer side equal to 10 and its shorter side is x, which is some real number on the interval 0 < x < 10.

Across the top, the two sides of length 10 add to 20. So the larger rectangle has a horizontal dimension of 20 units.

The vertical side of the larger rectangle is x+10+x = 2x+10 units

The area would be

area = length*width = 20(2x+10) = 40x+200

Each of the nine smaller rectangles has area of length*width = 10x. Since we have 9 identical copies, the smaller rectangle areas must add to 9*10x = 90x

---------------

Equate those two expressions and solve for x

90x = 40x+200

90x-40x = 200

50x = 200

x = 200/50

x = 4

So each smaller rectangle has area of 10*x = 10*4 = 40 square units. In total, the nine smaller rectangles combine to an area of 9*40 = 360 square units

Note how x = 4 leads 40x+200 to result in 360 as well.

PLEASE HELL ME WITH THIS. I feel like I did it all wrong. I will choose brainliest

Answers

Answer:

i good

Step-by-step explanation:

Examine the following budget:
Monthly Budget
Budgeted Amount
Actual Amount
Income
Wages
Savings Interest
$1150
$25
$900
$25
Expenses
Rent
Utilities
Food
Cell Phone
Savings for Car
$400
$100
$250
$75
$200
$400
$80
$200
$75
$200
Net Income
$30


What is the actual net income for the month? What, if any, changes would have improved the budget for the month?
a.
The actual net income for the month is -$30. No changes to the budget are necessary.

b.
The actual net income for the month is $30. No changes to the budget are necessary.

c.
The actual net income for the month is $30. More money could have been spent on food.

d.
The actual net income for the month is -$30. Less money could have been spent on food.




Please select the best answer from the choices provided


A
B
C
D

Answers

The answer is:D. The actual net income for the month is -$30. Less money could have been spent on food.

Answer:

Yes the answer is D. The actual net income for the month is -$30. Less money could have been spent on food.

Step-by-step explanation:

Just took the test on Edg. 2021

please can somebody help me? I need to do this but i dont know how to

Answers

Answer:

n = 3.16 units; p = 5 units

Step-by-step explanation:

to find the length of the lines you need to use the pythagorean  theorem or a^2 + b^2 = c^2

in this case a is x, b is y, and c is the length

so for n it is:

1^2 + 3^2 = c^2 -->

1 + 9 = c^2 -->

10 = c^2

c = 3.16227766 or about 3.16 (this is n's length)

for p it is:

3^2 + 4^2 = c^2 -->

9 + 16 = c^2 -->

25 = c^2 -->

c = 5 (this is p's length)

Find x to the nearest tenth.

18.7
1.3
19.3

Answers

To solve this problem, we will need to use trigonometry.

Remember: SOH-CAH-TOA

Looking from the angle, we know the opposite side and want to find the adjacent side. Therefore, we should use the tangent function.

tan(15) = 5 / x

x * tan(15) = 5

x = 5 / tan(15)

x = 18.7 units

Hope this helps!! :)

This I my question any body help

Answers

I believe it’s table 2 I hope it helps

Answer: table 2

Step-by-step explanation:

its because the rest of the tables do not have a pattern that ‘makes sense’ unlike table 2. for table 2, for every one 1 km there’s 10$

2. Find the value of x and y.
62°
(4x+2)°
(12y)
144°
Ox= 15, y= 12
Ox= 14, y= 11
Ox=14, y = 12
Ox= 15, y= 11

Answers

Answer:

x=15,y=12

Step-by-step explanation:

Alternate angles are those angles that are on the opposite side of the parallel lines transverse with a line touching both parallel lines.

The value of x and y are 15 and 12.

x = 15

y = 12

Option A is the correct answer.

What are corresponding angles?

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

The figure contains four angles.

62 and (4x + 2) are alternate angles.

12y and 144 are alternate angles.

We know that alternate angles are equal.

So,

62 = 4x + 2 ____(1)

12y = 144 _____(2)

From (1) we get,

62 = 4x + 2

Subtract 2 on both sides.

62 - 2 = 4x + 2 - 2

60 = 4x

Divide both sides by 4.

4x = 60

x = 60/4

x = 15

From (2)

12y = 144

Divide both sides by 12.

y = 144/12

y = 12

Thus,

The value of x and y are 15 and 12.

x = 15

y = 12

Option A is the correct answer.

Learn more about corresponding angles here:

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True or False
2+2=22 or 2+2=4
correct answer gets brainliest

Answers

Answer:

haha 2+2 = 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Picture

On Sunday, a local hamburger shop sold a combined total of 536 hamburgers and cheeseburgers. The number of cheeseburgers solid was three times the
number of hamburgers sold. How many hamburgers were sold on Sunday?
Il hamburgers

Answers

Answer:

134 hamburgers sold on Sunday

Step-by-step explanation:

x+3x=536

4x=536

4x/4=x, 536/4=134

x=134

The circle graph shows the results of a survey. Of those surveyed, 80 said yes. About how many people were surveyed?

Answers

Answer:

134 people

Step-by-step explanation:

80 / .6 = 133.333

Answer:

134 people

Step-by-step explanation:

we can use cross multiplication to solve this problem:

we know that 60% is 80 people and 40% is x people (we put x because we don't know the exact number of how many people yet)

now we set it up:

[tex]\frac{80}{60}[/tex] = [tex]\frac{x}{40}[/tex]

= 60x = 3200

= x = 53.33333

now we add the two numbers of people up:

53.33333 + 80 = 133.3333

since it is a decimal, it would be safer to assume that there are 134 people

Complete the equation. − 3^2 =

Answers

Answer:

I'm guessing that's supposed to be an exponent.

Step-by-step explanation:

-3 to the 2nd power = positive 9

-3 x - 3 = 9

* A negative times a negative equals a positive.

You're welcome. May GOD Bless You and Have a nice day!!!

Someone plz help me :(

Answers

Answer:

b

Step-by-step explanation:

i think it is b good luck

Answer:

The answer is D

Step-by-step explanation:

Hope it helps. Pls mark brainliest if it does

What is the solution to the equation −p − 13 = −4 /3 p + 2/3 ( 5p − 6 ) ?


((will give brainliest to best answer

Answers

Answer:

The answer is p= 2 and 1/3

Step-by-step explanation:

This answer can be found using the order of operations to solve for p.

Start by distributing 2/3 by (5p-6)

add -4/3p to 10/3p equaling 6/3p or 2p

subtract 13 from both sides

-p= 2p - 7

p=2 and 1/3

PLEASE HELP ASAP!

4y - 5x = 6 - 3x
Solve for X

Answers

Answer:

 X= -2

Step-by-step explanation:

Today only, a desk is being sold at a 33% discount. The sale price is $603.
What was the price yesterday?

Answers

The original price of the desk before discount was $900.

What is discount?

A discount is the reduction in the marked price of items, discounts are generally given to customers to attract them towards some items or on sale.

Given that a desk is at sell today, the shop is offering 33% discount on it, which will give a selling price of $603.

We need to find the desk's yesterday price,

So, let the yesterday price be x,

Therefore,

100 - 33 = 67

Therefore,

67% of x = 603

x = 603 × 100 / 67

x = 900

Hence the original price of the desk before discount was $900.

Learn more about discount click;

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Convert 250.025 to a mixed number

Answers

Answer:

1/5

Step-by-step explanation:

It's already a mixed number.

The whole number part is 250 .

The fraction part is 0.025 . (Same thing as 1/40 .)

Done

Steven says 5 x 1022, carbon atoms are in 1 gram of carbon. How many carbon atoms
are in 3 grams of carbon?

Answers

In 1 gram if carbon there is 5 × 10²² carbon atoms,

so, in 3 grams of carbon the number of carbon atom is equal to :

[tex]3 \times 5 \times 10 {}^{22} [/tex]

[tex]15 \times 10 {}^{22} [/tex]

[tex]1.5 \times 10 {}^{23} \: \: carbon \: \: atoms[/tex]

Please help me asap with explanation please ​

Answers

Answer:

[tex] \sqrt{5 \times 5 \times 2 \times {x}^{2} \times {y}^{2} \times y} = \\ 5xy \sqrt{2 \times y} [/tex]

Which series of transformations will not map figure H onto itself?

(x + 0, y − 2), reflection over y = 1
(x + 2, y − 0), reflection over x = 3
(x + 3, y + 3), reflection over y = −x + 7
(x − 3, y − 3), reflection over y = −x + 2

Answers

Answer:

(x − 3, y − 3), reflection over y = −x + 2

view attached pic for proof :)

hELP! NO LINKSSS U ROBOTS!!!

Answers

Answer:

The answer is angle 4.

Step-by-step explanation:

Complimentary angles add up to 90°. So when it says what is the complimentary angle to angle 5, they want to know which angle will add up to 90° along with angle 5. We know that angles 1 and 3 are congruent and that angle 2 and angles 4+5 are congruent. Therefore angles 4 and 5 must add up to 90°.

Answer: Angle 4 is the correct option
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