If a toy rocket is launched vertically upward from ground level with an initial velocity of 120 feet per second, then its height h after t seconds is given by the equation h(t) = -16t2 + 120t. How long will it take the rocket to return to the ground?
A) 7.5 seconds
B) 16 seconds
C) 3.75 seconds
D) 120 seconds

Answers

Answer 1

Answer:

A) 7.5 seconds

Step-by-step explanation:

Height of the ground is zero

-16t^2 + 120t = 0

Divide both sides by 16

-t^2 + 7.5t = 0

Factor out t

t(-t + 7.5) = 0

From the zero product rule

t = {0, 7.5}

0 would be time of launch

7.5 is time back to the ground


Related Questions

maths help me maths giving 10 point​

Answers

Well because prime numbers are prime none of them divide evenly by four but the ones that are divided by 4 and less than 3 are, 2,3,5,7,11.

fill in the blank
( ___-2a)^2=9b^2-___+___

Answers

Answer:

(3b-2a)^2=9b^2-12ab+4a^2

Step-by-step explanation:

Using the formula (a-b)^2=a^2-2ab-b^2, you can plug in the values to get your answer. (Sorry I can't really explain more, it's just using the formula. Hope this helps)

Find the circumference of a wheel whose radius is 35cm. Find the distance covered in 60 seconds ,if it revolves 5 times per second​

Answers

Answer:

hey I hope this is clear

Step-by-step explanation:

p + 7 /8 = 18/ 12 what does p equal

Answers

Answer:

P = 5/8 or 15/24

Step-by-step explanation:

p = 18/12 - 7/8

p = 36/24 - 21/24

p = 15/24   ( Simplify )

p = 5/8

Answer:

Step-by-step explanation:

[tex]p+\dfrac{7}{8}=\dfrac{18}{12}\\\\p=\dfrac{18}{12}-\dfrac{7}{8}\\\\\\LCM \ of 8 \ and \ 12 \ is \ 24\\\\p=\dfrac{18*2}{12*2}-\dfrac{7*3}{8*3}\\\\p=\dfrac{36}{24}-\dfrac{21}{24}\\\\p=\dfrac{15}{24}[/tex]

[tex]p=\dfrac{5}{8}[/tex]

how to solve

2(x+6)=4

x=?

Answers

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

[tex]2(x+6)=4~(Given)\\\\2x+12=4~(Distribute~2~to~x+6)\\\\2x+12-12=4-12~(Subtract~12~on~both~sides)\\\\2x=-8~(Simplify)\\\\\frac{2x}{2}=\frac{-8}{2}~(Divide~2~on~both~sides)\\\\x=-4~(Simplify)[/tex]

Answer:

[tex]\boxed {x=-4}[/tex]

Step-by-step explanation:

[tex]2(x+6)=4[/tex]

Divide both sides by 2 :

[tex]\cfrac{2\left(x+6\right)}{2}=\cfrac{4}{2}[/tex][tex]x+6=2[/tex]

Subtract 6 from both sides:

[tex]x+6-6=2-6[/tex][tex]x=-4[/tex]

______________________

Kirsty is making a fruit drink for 9 people. How many oranges does she use?

Answers

Answer:

9

Step-by-step explanation:

Kristy uses 9 oranges.

Write the equation of the line in point-slope form.

Answers

Answer:

y= 4/3x+2

Step-by-step explanation:

the y intercept is at 2 and you do rise over run for m

ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

PS: Only answer #8

Answers

Answer:

Sequence 1: Translate 5 units to the right, and 5 units down

Sequence 2: Reflect across the origin, translate 1 unit down, 1 unit to the right

Step-by-step explanation:

Chose 1 point to focus in, such as (-1, 1)

Move that point 5 units to the right, and 5 units down. See how it matches up with the same corner of the red square?

Now, use that same point, and change the signs of both the x and y, this is to reflect across the origin. (In reality, you are just reflecting across the x and y axis)

So you originally have: (-1,1) -> (1, -1)

Now move this point one unit to the right, and 1 unit to the left.

It may seem that you made it touch the wring corner, but do the same thing with another corner's points. They all flipped!

matt is buying jeans and sweaters for his younger brothers. each pair of jeans will cost 22.50 and each sweater will cost 12.50. if matt spends a total of $200 at the clothing store and buys 12 articles of clothing, how many pairs of jeans and how many sweaters did he buy? you must create and solve the system for points

Answers

Answer:  220

Step-by-step explanation:

A- 22.50 x 12 = 270

B- 12.50 x 12 = 150

C- 270 + 150 - 200 = 220

ANSWER- 220

The number 356 is between which pair of numbers? a. 340 and 350 b. 350 and 360 c. 360 and 370 d. 370 and 380​

Answers

B. 350, 351, 352, 353, 354, 355, ‘356’, 357, 358, 259, 360

I need help asap please

Answers

Answer:

[tex]p(t) = - 3t + 75 \\ p(t) = 0 \\ - 3t + 75 = 0 \\ 3t = 75 \\ t = \frac{75}{3} \rightarrow \boxed{t = 25 \: mins} \\ 3 \: papers \: per \: mins \\ domain \: \boxed{t \geqslant 0} \: \\ because \: time \: cant \: be \: negative \: on \\ \: this \: perticular \: occasion \\ \therefore \: range \: \boxed {p(t) \geqslant 0 }[/tex]

pls help don't send links​

Answers

Answer:

there is not any correct answer among the options.

the answer is

[tex] \frac{ - 21}{45} [/tex]

Simplify the expression!

-7/15

. The first day of a water polo tournament the total value of tickets sold was $17,610. One-day passes sold for $20 and tournament passes sold for $30. The number of tournament passes sold was 37 more than the number of day passes sold. How many day passes and how many tournament passes were sold?

Answers

Answer:

330 day passes, 367 tournament passes

Step-by-step explanation:

The number of day passes sold is 330, while the number of tournament passes sold is 367.

What is a System of equations?

A set of simultaneous equations, often known as a system of equations or an equation system, is a finite collection of equations for which common solutions are sought.

Let the number of day passes sold be represented by x, while the number of tournament passes sold is y.

Given that on the first day of a water polo tournament, the total value of tickets sold was $17,610.

y = x + 37

Also, The number of tournament passes sold was 37 more than the number of days passes sold.

20x + 30y = 17610

20x + 30(x + 37) = 17610

20x + 30(x+ 37) = 17610

20x + 30x + 1110 = 17610

50x = 16,500

x = 16,500 / 50

x = 330

y = x + 37

y = 330 + 37

y = 367

Hence, the number of day passes sold is 330, while the number of tournament passes sold is 367.

Learn more about the System of equations here:

https://brainly.com/question/12895249

#SPJ2

Helppppppp pleaseee tyy smmm

Answers

Answer: 56

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

fifteen is the same a one-fifth a number

15 = 1/5+x or 15 = 1/5x

Answers

Answer:

74/5

Step-by-step explanation:

15x5 =75 5ths. 1/5 + 74/5 = 75/5

Your classroom received 150 books. You are placing them in bins. Each bin holds 20 books. How many bins do you need? Remainder:
Quotient:
Answer:
how many bins do I need.

what to do with remainder
do l Ignored it or Round the quotient up
then explain
THANK U!!!​

Answers

Answer:

you need 8 bins because 150/20 is 7.5 but you can't have half a bin and you need somewhere to put the other books

suppose 48 out of every 120 people like baseball. of the people who like baseball 3 out of 5 play base ball if you ask 500 people how many would play baseball

Answers

Answer:

120 people would play

Step-by-step explanation:

Davonte has a yearly gym membership. His yearly
membership fee is $25 plus he must pay $3 each
time he goes to the gym. Last year, Davonte payed
$250 for his gym access. How many times did he
go to the gym?

Answers

Answer:

sorry I don't know about it

Before the sale, the store had 100 pairs of flip-flops in stock. After selling some they noticed that 3/5 of the flip flops they have left are blue. If the store has 39 pairs of blue flip flops, how many pairs of flip flops (any color) have they sold?

Answers

Answer:

35

Step-by-step explanation:

[tex]\sf x-12=14[/tex]

Answers

Answer:

X - 12 = 14
+12. +12

X = 26

The sides of a square have length s. Write a formula for the perimeter P of the square. Write a formula for the area A of the square.

Answers

Answer:

a

Step-by-step explanation:

Simplify 3a^2-a^2 pleassssewwwwwww

Answers

Answer:

2a^2

Step-by-step explanation:

Multiply 6 times two-ninths.


After multiplying, the numerator is ?
After multiplying, the denominator is ?

Answers

Answer:

numerator - 4

denominator - 3

Step-by-step explanation:

6 × 2/9

12/9

4/3

PLEASE ANSWER ALL THESE FOR 60 POINTS!!!

Answers

Answer:

Step-by-step explanation:

17. ≈ 1.41 + 5 = 6.41

18. ≈ 1.73 × 2.24 = 3.8752

19. ≈ 3.14 × 25 = 78.5

20. ≈ 2.24 × 2.24 = 5.0176

21. ≈ 10 - 2 × 3.14 = 10 - 6.28 = 3.72

22. I’m sorry. I don’t know.

please give me a brainliest answer

The maximum throwing speeds of pitchers on one team are shown in the table.

A 1-column table with 6 rows. Column 1 is labeled Maximum pitching speed (miles per hour) with entries 75, 60, 63, 51, 45, 48.

The mean of the data set shown in the table is 57. What is the mean absolute deviation?
6
9
9.5
12

Answers

The answer is 9 trust big dawg, muyayno

Answer:

9

Step-by-step explanation:

simplify
please anyone solve this please​

Answers

Answer:

= a²-b²/a²b+ab²-a²b-ab²/a²b² =√√727+=% = infinite

Step-by-step explanation:

I'm not sure if this correct but hope it helps

Answer:

1

Step-by-step explanation:

This  is the solution to your question . Hope it helps you !!

What are the values of each Halloween icon? (Math Logic Puzzles)

Answers

Witch hat = 5

Jack o' lantern = 2

Ghost = 7

Witch Pot = 10

7 x 5 = 35 + 5 = 40

10 x 2 = 20 + 2 = 22

7 + 10 = 17 + 10 = 27

2 x 5 = 10 + 7 = 17

7 + 7 = 14 + 5 = 19

1. 7x5+5=40

2. 10x2+2=22

3. 7+10+10=27

4. 2x5+7=17

5. 7+7+5=19

Evaluate 7 10 × 4 5 Give your answer in its simplest form.

Answers

289254654976 if the 7 10 is to the power of not quite sure what you’re supposed to do with the 7 and 10 and 4 and 5

David uses software to draw two triangles. He finds that he can use a rotation and a reflection to map one triangle onto the other, and he finds that the image of vertex D is vertex L, the image of vertex V is vertex C, and the image of vertex W is vertex Y. In how many different ways can David write a congruence statement for the triangles? Complete the explanation.
Use the given information to select congruence statements.
△DVW ≅ △
△DWV ≅ △
△VDW ≅ △
△VWD ≅ △
△WDV ≅ △
△WVD ≅ △

There are __ more ways with the order of the triangles reversed. There is a total of __ ways to write a congruence statement.

Answers

Transformation involves changing the position of a shape.

The complete statement is:

There are _3_ more ways with the order of the triangles reversed. There is a total of _9_ ways to write a congruence statement.

From the question, we understand that:

[tex]\mathbf{\triangle DVW \cong \triangle LCY}[/tex]

This mean that, the following 6 statements can be used as the congruent statements

[tex]\mathbf{\triangle DVW \cong \triangle LCY}[/tex]

[tex]\mathbf{\triangle DWV \cong \triangle LYC}[/tex]

[tex]\mathbf{\triangle VDW \cong \triangle CLY}[/tex]

[tex]\mathbf{\triangle VWD \cong \triangle CYL}[/tex]

[tex]\mathbf{\triangle WDV \cong \triangle YLC}[/tex]

[tex]\mathbf{\triangle WVD \cong \triangle YCL}[/tex]

A triangle has 3 sides, and there are 2 triangles in the question.

The number (n) of congruence statements is:

[tex]\mathbf{n = 3^2 = 9}[/tex]

The remaining (r) number of congruent statement is:

[tex]\mathbf{r = 9 - 6 = 3}[/tex]

So, the blanks should be completed with 3 and 9

Read more about congruent triangles at:

https://brainly.com/question/12413243

Find the value of c-6 when c = 12

Answers

Answer:

6

Step-by-step explanation: You subtract 12-6

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