A model rocket is launched from the roof of a building. Its flight path is modeled
by h = -5t^2 +30t +10 where h is the height of the rocket above the ground in
metres and r is the time after the launch in seconds.
What is the rocket's maximum height?

Answer:

734,000

Step-by-step explanation:

The thousands digit is the fourth digit from the right (1000) so we start by underlining that digit.

733,712

Look at the digit to the right of the underlined digit. If the number is 5 or more, add one to the underlined digit. Since 7 is 5 or more, we add one to the underlined digit.

All of the digits behind the underlined digits turn to zeros to hold the place values.

734,000

Answer:

3 7/12

Step-by-step explanation:

Answer:

0.2miles at 12minutes

Answer:

n = 2

Step-by-step explanation:

[tex]n + 11 = 13[/tex]

Subtract 11 from both sides to isolate n.

[tex]n + 11 - 11 = 13 - 11[/tex]

[tex]n = 2[/tex]

Answer:

X ∈ {-2, -1 ,1 ,5 ,6}

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

2 to the power of 3 is 8 so

8 + 4.8 = 12.8

Step-by-step explanation:

Complete Question

1. (12 points) The tennis team at Taft High School has 8 players, and the tennis team at McKinley High School has 7 players. Rebecca is on the team at Taft, and her sister Leah is on the team at McKinley. The two teams are going to play a tournament with 4 rounds. In each round, one player from Taft will play a match against one player from McKinley. Each player can play in at most one match. A schedule for the tournament consists of an ordered list of the names of the players from each school who will play in each of the four rounds. The schedule does not include the results of each match.

(a) How many schedules are there?

(b) How many schedules include neither sister?

Answer:

a

   [tex]N  =  1,411,200[/tex]

b

  [tex]M  =  302, 400[/tex]

Step-by-step explanation:

From the question we are told that

   The  number of players in Taft High School is t =  8

    The  number of players in McKinley High School  is k = 7

   The number of rounds is  n  =  4

   The highest number of match each player can play is  w =  1

Generally the total number of schedules is  

      [tex]N  = ^tP_4 * ^k P_4[/tex]

      [tex]N  = ^8P_4 * ^7 P_4[/tex]

=>   [tex]N  =  \frac{8!}{(8-4)!} * \frac{7!}{(7-4)!}[/tex]

=>   [tex]N  =  \frac{8!}{4!} * \frac{7!}{3!}[/tex]

=>  [tex]N  =  \frac{8*7 *6*5*4*3*2*1}{4*3*2*1} * \frac{7*6*5*4*3*2*1}{3*2*1}[/tex]

=>  [tex]N  =  1,411,200[/tex]

Generally the  number of schedules that include neither of the sisters is  mathematically represented as

        [tex]M= \ ^{t-1}P_4 *\ ^ {k-1} P_4[/tex]

        [tex]M= \ ^{8-1}P_4 *\ ^ {7-1} P_4[/tex]

=>    [tex]M= \ ^{7}P_4 *\ ^ {6} P_4[/tex]

=>     [tex]M  =  \frac{7!}{(7-4)!} * \frac{6!}{(6-4)!}[/tex]

=>     [tex]M  =  \frac{7!}{3!} * \frac{6!}{2!}[/tex]

=>     [tex]M  =  \frac{7 *6*5*4*3*2*1}{3*2*1} * \frac{6*5*4*3*2*1}{2*1}[/tex]

=>      [tex]M  =  302, 400[/tex]

Answer:

11.06

Step-by-step explanation:

55.30/5 Separate the decimals and whole numbers and divide both by 5

55/5=11 and 0.30/5=0.06

11+0.06=11.06

Answer:

11.06

Step-by-step explanation:

Complete Question

The complete question is shown on the first uploaded image

Answer:

The line is [tex]y = -4 x[/tex]

Step-by-step explanation:

From the question we are told that

The line is [tex]y = \frac{1}{4} x + 8[/tex]

The point is P(0,0 )

Generally the equation for a line is [tex]yn = mx + c[/tex]

Now comparing this with the given equation we see that

[tex]m =\frac{1}{4} = slope[/tex]

[tex]C =8 = intercept [/tex]

Generally the slope of the perpendicular to the given line is mathematically evaluated as

[tex]m_1 = - \frac{1}{m}[/tex]

=> [tex]m_1 = - \frac{1}{ \frac{1}{4}}[/tex]

=> [tex]m_1 = -4 [/tex]

Generally from the univesal equation of a line and the given point we have that

y = mx + c at p(0,0) and [tex]m_1 = -4[/tex] is

0 = -4 (0 ) + c

=> c = 0

Hence the equation perpendicular to the line given at the point given is

[tex]y = -4 x[/tex]

Answer:

Bernard ate a little less than Two-thirds of the pizza.

Step-by-step explanation:

i took the test

Answer:

c 2/3

Step-by-step explanation:Bernard ate part of a small pizza. He started with StartFraction 11 Over 12 EndFraction of a pizza but only ate Two-thirds of it. Which is the best estimate of the amount Bernard ate?as u can see it said HOW many did he eat he ate 2/3 of it your welcome friend!

Answer:

9.6

Step-by-step explanation:

60 pounds of pressure is needed to break a 5-foot-long board,

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Richard uses 24 pounds of pressure to break a 2-foot-long board.

How many pounds of pressure is needed to break a 5-foot-long board,

we have to find.

i.e. 24/2 * 5

   =12*5

  =60

hence, 60 pounds of pressure is needed to break a 5-foot-long board,

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

Answer:

true

Step-by-step explanation:

negatives keep getting smaller and smaller

Answer:

false

Step-by-step explanation:

negative 6 is bigger because its closer to a whole number (integer which is bigger) so it has more value

Answer:

you can make 10 servings

Step-by-step explanation:

Answer:

A.$12

B.$4.5

C.4.5$ per game + 12$

Step-by-step explanation:

It shows the first payment being 12$ so A is 12$

then it goes up to 16.5$ so

16.5-12= 4.5$

So 4.5$ per game.

C. 4.5$ per game + 12$

A -120 difference will be seen in the temperature within a 7 hour period

Equation

-30 x 7

Multiplying two of different signs ( - + ,  + - ) will always be negative.

Multiplying two of the same sign ( - - , + + ) will always be positive.

Answer:

53

Step-by-step explanation:

so first sutract the large angle from 360:

360 - 213 = 147

then subtract the other large known angle:

147 - 107 = 40

now we know the x - 13 = 40 so to find x we just have to add 13:

40 + 13 = 53

Answer:

- 2 11/35

Step-by-step explanation:

Step 1:

9/7 × - 9/5     Equation

Step 2:

- 81/35      Multiply

Answer:

- 2 11/35       Convert

Hope This Helps :)

Answer:

Step-by-step explanation:

nevermind sry

Hey there!

Sorry if I answered your question too late, but here is the answer!

Step-by-step explanation:

Toby will require $2,000 for expenses for one year of college. He plans to enroll for 2 semesters per year, so Toby has to divide $2,000 by 2 to find the expenses for each semester. He can set up the division as $2,000 ÷ 2 or 2 ⟌2,000.

Answer: He will need $1,000 for each semester.

You are free to use the Step-by-step explanation to show your work. Have a great day! :))

Answer:

186cm im pretty sure

Step-by-step explanation:

Answer:

The perimeter is 186 centimeters.

Step-by-step explanation:

The perimeter is the combination of all the side lengths of a figure. So, to figure this one out, it would be:

31 + 31 + 31 + 31 + 31 + 31

Or in simpler terms:

31 times 6.

All you need to do is multiply, and the answer comes out to 186cm

Answer:

6

Step-by-step explanation:

becuase 6^2 equals 36

Answer:

d=6

Step-by-step explanation:

Use the inverse operation of square roots

Answer:

14.92 ^-^

Step-by-step explanation:

Answer:

have you check google or try mathaway or slander

Answer:

648

Step-by-step explanation:

9 times 27

Answer:

$8.

Step-by-step explanation:

72 divided by 9

hope this helped </3

Answer:

I have NO IDEA

Step-by-step explanation:

???????????????????????????/?

Answer:

1 19/30

Step-by-step explanation:

Just multiply and cross simplify

7/9 x 21/10

9 and 21 can be simplified to 3/7

7/3 x 7/10

Multiply from left to right

49/30

1 19/30

Answer: 1.63333333333

7/9 = 0.77777777777

(7/9) * 21 = 16.3333333333

((7/9) * 21)/10 = 1.63333333333

Answer:

Question 1

9|x/4| -10=8 Answer- x= (8,-8)

Question 2

4+|3x+3|=28  Answer- x=(7,-9)

Question 3

4|x-9|+7=67  Answer- x=(24,-6)

Step-by-step explanation:

Answer:

No solutions I think

Step-by-step explanation: