A ball is thrown from the top row of seats in a stadium. The function
ℎ()=−162+64+80

gives the height, in feet, of the ball t seconds after it is thrown. How long will it be before the ball hits the ground

Answers

Answer 1

Answer:

It will be 5 seconds before the ball hits the ground  

Step-by-step explanation:

∵ A ball is thrown from the top row of seats in a stadium

∵ The function

h(t) = −16t² + 64t + 80 , gives the height, in feet, of the ball t seconds

   after it is thrown

∵ The ball hits the ground

→ That means h(t) = 0

∵ h(t) = 0

0 = -16t² + 64t + 80

→ Reverse the two sides

∴ -16t² + 64t + 80 = 0

→ Divide both sides by -16 to simplify it

∵  [tex]\frac{-16t^{2}}{-16}+\frac{64t}{-16}+\frac{80}{-16}=\frac{0}{-16}[/tex]

t² - 4t - 5 = 0

→ Factorize it into two factors

∵ t² = t × t

∵ -5 = -5 ×  1

∵ -5t + 1t = -4t ⇒ the middle term

→ The factors are (t - 5) and (t + 1)

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

→ Equate each factor by 0 to find t

∵ t - 5 = 0

→ Add 5 to both sides

t = 5

∵ t + 1 = 0

→ Subtract 1 from both sides

∴ t = -1 ⇒ rejected because no negative value for the time

∵ t = 5

It will be 5 seconds before the ball hits the ground  


Related Questions

Simplify the following expression:
69 + 12 - 49 + 5

Answers

Answer:

86-49. 86-49= 37

Step-by-step explanation:

you add 69+5+12=86

then you subtract 49

and get 37

it should be 37..... min

-1/2 + 3/4 - 3/8 what is it?

Answers

Answer:

-1/8

Step-by-step explanation:

-1/2 + 3/4 - 3/8 = -1/8

Can I have Brainliest please?

Answer:

[tex]\frac{-1}{8}[/tex]

Step-by-step explanation:

So first find the greatest common factor of the denominators

GCF of 2 , 4 and 8 is 8

Then :

[tex]\frac{-4 + 6 - 3}{8}[/tex]

So you do this to get the above answer:

8 divided by the denominator times the numerator.

You still need to work it out

-4 + 6 = 2

[tex]\frac{2- 3}{8}[/tex]

2 - 3 is -1

Thus the answer is [tex]\frac{-1}{8}[/tex]

HOPE THIS HELPED

PLEASE HELP
Write a word problem with the numbers -3 and 6 that result in -9

Answers

Answer:

6+-3 =-9

Step-by-step explanation:

so if u add a positive number to a negative number the whole answer  is a negative number i

hey i need some help with this​

Answers

Answer:

82 degrees

Step-by-step explanation:

if lines m and n are parallel then the two angles are equivalent. The angles on the opposite side are 98 degrees.

Help!!!!!!!!!!!!!!!!Will mark BRAINLIEST​

Answers

Answer:

Step-by-step explanation:

1. true

2. true

3. false ( pie chart )

4. true

5. false ( y axis )

6. true

7. true

Hope this helps

plz mark as brainliest!!!!!!

The money earned varies directly to how many hours you work. Working 12 hours you earn $102. If Josue worked 8 hours, how much would he earn?​

Answers

Answer:

about 94

Step-by-step explanation:

All I did was subtract then added I multiplied rounded then dot my answer

Please show all work

Answers

Answer:

w = 19/15 or 1 4/15

Step-by-step explanation:

11/15 = w-(8/15) // - w-(8/15)

11/15-w+8/15 = 0

19/15-w = 0 // - 19/15

-w = -19/15 // * -1

w = 19/15

w = 19/15

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Swap~sides~so~that~all~variable~terms~are~on~the~left~hand~side:[/tex]

[tex]\bold{\frac{11}{15} =w-\frac{8}{15}}~=~\bold{w-\frac{8}{15}=\frac{11}{15} }[/tex]

[tex]2.)~Since~\frac{11}{15} ~and~\frac{8}{15}~have~the~same~denominator,~add~them~by~adding~their~numerators:[/tex]

[tex]\bold{w=\frac{11+8}{15}~=~\frac{19}{15}}[/tex]

______________________________

 [tex]\bold{Answers:}[/tex]

[tex]Improper~Fraction~Form:\bold{w=\frac{19}{15}}[/tex][tex]Mixed~Number~Form:\bold{w=1\frac{4}{15}}[/tex][tex]Decimal~Form:\bold{w=1.266666667}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]

To prepare for a bake-off, Dan used 0.68 kilogram of flour each day for 4 weeks. How many grams did Dan use in those 4 weeks? (1 kg = 1,000 g) this question is from Zearn and I've been doing the same one for a week now :3 and no im not in highschool it put that for some reason

Answers

Answer:

19040 grams

Step-by-step explanation:

Dan used the amount of flour each day = 0.68 kg

He used the flour for 4 weeks.

So the number of days taken by Dan = 4 × 7 = 28 days

Now amount of flour used in 28 days = Flour used in a day × Number of days

= 0.68 × 28

= 19.04 kg

Since 1 kg = 1000 grams

Therefore, 19.04 kg = 1000 × 19.04 = 19040 grams

Dan used 19040 grams of flour in 4 weeks.

The number of grams of flour that was used is 19040 grams.

Since Dan used 0.68 kilogram of flour each day for 4 weeks, this means that the flours used will be:

= 0.68 × 4

= 2.72kg

Therefore, 2.72kg will be converted to grams and this will be:

= 2.72 × 1000 = 2720 grams

Now, we'll multiply the value by 7 since there are 7 days in a week. This will be:

= 2720 × 7 = 19040

Read related link on:

https://brainly.com/question/17025675

idk how to do this please help 1/5 + 2/15 =

Answers

Answer:

2/3

Step-by-step explanation:

you can turn 1/5 into 3/15

3/15 + 2/15 = 5/15

5/15 = 2/3

Multiply 1/5 by 3 so you can get a common denominator of 15, your new fraction will know me 3/15. then add 3/15 and 2/15 to get 5/15, Then you can reduce 5/15 to get 2/3

I hope this helped have a great day!

Select each inequality that 0 is a solution to. Q No. 2



-3(y - 1) > 3


2y - 4 0


y + 8 < 2y + 8

Answers

Answer:

Can you reformat?

So far, 0 is a solution to none of these.

Answer:

1. nope

2. not sure

3. nope

Step-by-step explanation:

1.

-3(y - 1) > 3

-3y + 3 > 3

-3y > 0

y > 0

0 is not a solution since 0 is not greater than 0

2.

I'm not sure what this question means, is there a [tex]\geq or \leq[/tex] between the 4 and the 0?

3.

y + 8 < 2y + 8

8 < 2y - y + 8

8 - 8 < y

0 < y

0 is not a solution because 0 is not greater than 0

im confused- I prolly got something wrong.

Tonya’s dog-walking service charges a flat rate of $20 per month, plus $3 per mile that each dog is walked. Beth does not charge a monthly fee for her dog-walking service, but she charges $5 per mile that each dog is walked.

Answers

You need to include the question not just the explanation.

hayley jogs 3/4 miles in 1/6 of an hour
maxwell jogs 2/3 miles in 2/15 who is faster and how much faster

Answers

Maxwell is faster by 30 seconds. Max jogs 1 mile in 12 minutes while Hayley jogs 1 mile in 12.5 minutes. 1/6 of an hour is 10 minutes, 2/15 is 8 minutes. Find how long it takes each person to complete one mile (meaning find a common point of comparison) to determine who is faster

Maxwell is faster and faster by 0.5 miles/hour.

Given that, Hayley jogs 3/4 miles in 1/6 of an hour and Maxwell jogs 2/3 miles in 2/15.

We need to find who is faster and how much faster.

What is an average speed?

An average speed is the total distance travelled divided by the total time travelled. The formula to find the average speed is Average speed = Total distance / Total time.

Now speed of Hayley= 3/4 ÷ 1/6

=3/4 × 6=9/2

=4.5 miles/hour

Speed of Maxwell= 2/3 ÷ 2/15

= 2/3 × 15/2 = 5 miles/hour

The difference in the speed =5-4.5=0.5 miles/hour

Therefore, Maxwell is faster and faster by 0.5 miles/hour.

To learn more about the average speed visit:

https://brainly.com/question/17277454.

#SPJ2

I NEED HELP ASAP.

A factory manufactures 7.1x10⁵ bottles of ketchup per month. How many bottles are manufactured in a year?​

Answers

Answer:

8,520,000

Step-by-step explanation:

hope it help

Step-by-step explanation:

factory manufactures 71*10^5 bottles of ketchup per month.

In a year:

71*10^5*12=71*12*10^5=852*10^5=852*100000=

85200000 bottles of ketchup in a year.

If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x).

Answers

Answer:

4x + 1

Step-by-step explanation:

Multiply f + g by x because f + g is in parenthesis:

f(x) + g(x)

Then implement equation #1 for f(x) into our equation:

3x - 1 + g(x)

Then implement the other equation for g(x) into our equation:

3x - 1 + x + 2

Then switch the positions of -1 and +x:

3x + x - 1 + 2

Simmplify:

4x + 1

Pls consider giving my answer the Brainliest! Because it would help and mean a lot! ; )

4. If your bill at a restaurant is $30 and you want to tip 20%, how much
should you tip. Enter the number only. Round to the nearest cent.

Answers

Answer: 6

Step-by-step explanation:

30 divided by 10 = 3 (aka 10%)

3 x 2 = 6 (20%)

Answer: Tip Total:$ 6.00 Total (Bill + Tip):$ 36.00

Step-by-step explanation: Yes you should tip

PLZ HELP!! 50POINTS BRAINLYEST IF CORRECT ANSWER IF U GIVE BAD ANSWER OR JUST SOMTHING RANDOM OR SAY HOLD UP ONE SEC I WILL REPORT I REALLY NEED THIS TO BRONG UP MY GRADE WILL GIVE U 50 more if u want I have 900 points

Answers

-17 8/9= -6 4/9-3 2/9- 8 2/9
-15.1= -12.48-(-2.99)-5.62
-19 8/9= -19 2/9-4 1/9-(-3 4/9)
-201.65= -353.92-(-283.56)-131.29
74= 83 1/5-108 2/5-(-99 1/5)
(not in order) hope this helps:)

Answer:

see below

Step-by-step explanation:

-6 4/9 - 3 2/9 - 8 2/9

      = -6 4/9 - 3 2/9 = -9 2/3

      = -9 2/3 - 8 2/9

      = -17 8/9

-12.48 - (-2.99) - 5.62

      = -12.48 + 2.99 + 5.62

      = -15.11

-19 2/9 - 4 1/9 - ( -3 4/9)

      = -173/9 - 37/9 + 31/9

      = -179/9

      = -19 8/9

-353.92 - (-283.56) - 131.29

      = -353.92 + 283.56 - 131.29

      = - 201.65

83 1/5 - 108 2/5 - ( - 99 1/5)

      = 416 - 542 + 496

                       5

      = 74

Let event A = The student plays basketball.
Let event B = The student plays soccer.
What is P(AB)?

Answers

show the answers you have to choose from

P(A|B) = 1/3

What is Venn diagram?

"A Venn diagram in mathematics is a diagram that uses overlapping circles or other shapes to represent the logical relationships between two or more sets of items. "

What is probability?

"For any experiment, a probability denotes the possibility of outcome for any event."

The formula to calculate the probability of an event:

For event A, the probability of event A is,

P(A) = number of favorable outcomes/ total umber of outcomes

What is conditional probability?

"Conditional probability is the probability of an event occurring given that another event has already occurred."

The formula to calculate the conditional probability:

P(A|B) = P(A∩B)÷P(B)

For given diagram:

Let A represents a set of students playing Basketball and B represents a set of students playing Soccer

So, A = {Fran, Ian, Juan, Ella}

⇒ n(A) = 4

B = {Mickey, Marcus, Ella}

⇒ n(B) = 3

(A ∩ B) = {Ella}

⇒ n(A ∩ B) = 1

sample space: S = {Fran, Ian, Juan, Ella, Mickey, Marcus, Mai, Karl, Jada, Gabby}

⇒ n(S) = 10

Now, we calculate probability of B and A∩B.

P(B) = n(B)/n(S)

P(B) = 3/10

Also, P(A∩B) = n(A∩B) / n(S)

P(A∩B) = 1/10

So, the required probability would be,

⇒ P(A|B) = P(A∩B) ÷ P(B)

⇒ P(A|B) = (1/10) ÷ (3/10)

P(A|B) = 1/3

Therefore, P(A|B) = 1/3

Learn more about probability here:

https://brainly.com/question/12478394

#SPJ2

Hi, i would really appreciate if someone helped me out!

A corner store sells two kinds of baked goods: cakes and pies. A cake costs $11 and a pie costs $10. In one day, the store sold 11 baked goods for a total of $117. How many cakes did they sell?

Answers

Answer:

7cakes and 4 pies

Step-by-step explanation:

HELP ASAP! PLEASE!

What relationship between the population of Ohio and the number of years displayed in the scatter plot

Answers

Answer:

The number line has to be shown in a picture if you want more specific instructions from others.

Step-by-step explanation:

Show a picture

Ashley practiced the piano for 41
minutes. She practiced 13 minutes
I less than her brother did. Write and
solve an equation to determine how
long her brother practiced the piano.

Answers

Answer:

41+13=54 so Ashleys brother practiced the piano for 51 minutes

Step-by-step explanation:

can someone help me with this?

Answers

Answer:

the answer is 200

Step-by-step explanation:

PLEASE HELP! A store receives a shipment of boxes. Each box measures 18 in. wide, 28} in. long, and 14 in. high. What is the volume of each box? ​

Answers

Answer:

7056

Step-by-step explanation:

the volume of the box is 7056.  

Jeremiah dad Ordered five large pepperoni pizzas in each large cheese pizzas for the birthday party he spent a total of 144 on pizza if a pepperoni pizza cost 12 right and solve a linear equation to find the cost of a cheese pizza

Answers

This question is incomplete because part of the information is missing; here is the complete question:

Jeremiah's dad ordered 5 large pepperoni pizzas and 8 large cheese pizzas for the birthday party. He spent a total of $144 on pizza. If a pepperoni pizza costs $12, write and solve a linear equation to find the cost of a cheese pizza.

The answer to this question is $10.50

Explanation:

The first step to solve this problem is to write a linear equation. In this, the unknown should be represented by an x, and other variables should be included using correct mathematical symbols. Here is the process:

1. In an equation there is always an equality symbol = and mathematical expressions on both sides.

2. In this situation, the value after the = symbol should be 144 or the total spend on pizzas.

3. The values missing should be expressed as 5 (12) + 8x because there are 5 pepperoni pizzas and each of these costs $12; also, this should be added to the 8 cheese pizza and x represents the missing value (the price of a cheese pizza.)

4. Solve the equation

5 (12) + 8x = 144 -Simplify using multiplication

60 + 8x = 144 - Solve by moving the number to the right side and changing the symbol

8x = 144 - 60

8x = 84

x = 84 ÷ 8

x = 10.5

x3 = 0.008 what does the x equal

Answers

.2 because 2^3 is equal to 8. Which is 2*2*2=8.

A student organization sells shirts to raise money for events and activities. The shirts are printed with the organization's logo and the total costs are $100 plus $7 for each shirt, x. The students sell the shirts for $15 each.


Write an expression for the cost AND an expression for the revenue (money earned). Then evaluate for the specified number of shirts.




Solution

Write the expression in the order of the problem.


Cost Expression: Answer

(View hint)


Revenue (Money Earned) Expression: Answer

(View hint)


How much would it cost to make 25 shirts?


$ Answer


How much would students earn if they sold 25 shirts?


$ Answer


Will students make more money than they spent if they make and sell exactly 25 shirts?

Answers

Answer:

The answer is below

Step-by-step explanation:

The total cost for producing x number of shirts = 100 + 7x

The price of each shirt is $15, therefore:

Revenue = price per shirt × number of shirts = 15 × x = 15x

Revenue = 15x

The cost of making 25 shirts is given as:

Cost = 100 + 7x = 100 + 7(25) = $275

The money earned from producing 25 shirts is given as:

Revenue = 15x = 15(25) = $375

Since the revenue is greater than cost, the students would make more money than they spent if they make and sell exactly 25 shirts

you earn $25 for washing 5 cars how much do you earn for washing 4 cars

Answers

You will earn $20 washing 4 cars

whats the slope of this graph​

Answers

The answer is 3/2 rise over run

Mrs. mott called two companies about getting new uniforms for the soccer team. The first company she called charges $70 per uniform. The second company she called charges $280 plus $30 per uniform. For how many uniforms will the cost from the first company be less expensive than the cost from the second company?

Answers

The correct answer is yes

Which expression is equivalent?

- 5(2x -3y +4)

Answers

Answer:

A

Step-by-step explanation:

what is 6= -4+z what is the answer to that question​

Answers

Answer:

z=10

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6=z−4

Step 2: Flip the equation.

z−4=6

Step 3: Add 4 to both sides.

z−4+4=6+4

z=10

Answer:

z is 10

Step-by-step explanation:

Move the terms, Calculate, Change the signs

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