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zzz [600]
2 years ago
7

A rocket is launched from a hill above a lake. The rocket will fall into the lake after exploding at its maximum height. The roc

ket's height above the surface of the lake is given by g(x)= -16x² + 72x + 80. How long will it take to hit the ground?
Mathematics
1 answer:
KonstantinChe [14]2 years ago
4 0

Step-by-step explanation:

g(x)= -16x² + 72x + 80

Plug 2 in to check if it's correct.

g(2)= -16(2)² + 72(2) + 80

-16(4)+128+80

-72+128+80

= 136

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At a garden center grass seeds sell for $8 per pound. Kalil spent $10 on grass seed. What amount of seed did he buy
Brut [27]
Kalil bought 1 pound and 1/4. ( 1 1/4)  It means: 1 pound and a quarter pound.
7 0
3 years ago
Aisha is going to ship some gifts to family members, and she is considering two shipping companies. The first shipping company c
olasank [31]

Answer Step-by-step explanation:

Word (story) problems are easy if you use a table to translate the words to precise, concise math variables and operations.  For example,

      Is means                =

    Larger than                                   +

     Four times a                           4*a

    F is 550 less than S                F = S – 550

      Total of A, B, C                       A + B + C  

This seems obvious – until you get stuck on a word problem.  So,

 “the first company” ,  “a second company”      becomes       Let their costs be F and S

                                                                                                 Let K be the number of kilograms

  “$20 to ship a medium box, plus an additional $2 per kilogram”           F =  $20 + 2*K

   “10 for the same size of box, plus an additional $3 per kilogram”           S  =  $10 + 3*K

  “the two shipping methods will cost the same amount”                               F = S

 “What is that weight?”                                                                             report K

 

Now, the math:

        F        =        S

  20 + 2K   =   10 + 3K

     $10  =  K

3 0
3 years ago
Simplify the problem: Sin theta Sec Theta
kherson [118]

Answer:

\tan \theta

Step-by-step explanation:

We have to simplify the following expression as given by

\sin \theta \times \sec \theta

= \frac{\sin \theta}{\cos \theta}

= \tan \theta ( Answer )

Because, we know that \sec \theta =\frac{1}{\cos \theta} and \tan \theta = \frac{\sin \theta}{\cos \theta}

If we consider \sin \theta = \frac{Perpendicular}{Hypotenuse} and \sec \theta = \frac{Hypotenuse}{Base},

then \sin \theta \times \sec \theta = \frac{Perpendicular}{Hypotenuse}\times \frac{Hypotenuse}{Base} = \frac{Perpendicular}{Base}= \tan \theta

3 0
3 years ago
Help. Algebra word problem
scoray [572]
They will be 170 pounds by the end of the year. 5% of 100 would be 5 so 5% of 200 is half of 5 which is 2.5. 2.5 times 12 will get you 30. 200-30 is 170

Answer:170
7 0
3 years ago
Matthew is designing a new board game, and is trying to figure out all the possible
icang [17]

The computation shows that there are 8640 combinations.

<h3>How to compute the value?</h3>

From the information, we are to find the combination when he rolls a cube that has six sides labeled 1 to 6, spins a spinner with three equal-sized sections labeled Walk, Run, Stop, and flips a coin.

This will be:

Cube = 6

Spinner = 3

Coin = 2

The combination will be:

= 6! × 3! × 2!

= 8640 ways

Therefore there are 8640 combinations.

Learn more about combinations on:

brainly.com/question/4658834

#SPJ1

3 0
2 years ago
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