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3 years ago

H = -16t2 + 64t + 80 Determine the maximum height of the rocket. Show your work.

1 answer:

3 0

H = -16t² + 64t + 80 (:16)
H = -t² + 4t + 5
/\ = b²-4ac
/\ = 4²-4.(-1).5
/\ = 16+20
/\ = 36
Yv = -/\ / 4a
Yv = -36/4.(-1)
Yv = -36/-4
Yv = 9

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An experiment consists of choosing objects without regards to order. Determine the size of the sample space when you choose the

sdas [7]

Answer:

$n= 75, 582$

$n= 2300$

$n = 253$

Step-by-step explanation:

Generally the size of the sample sample space is mathematically represented as

$n = \left N } \atop {}} \right. C_r$

Where N is the total number of objects available and r is the number of objects to be selected

So for a, where N = 19 and r = 8

$n = \left 19 } \atop {}} \right. C_8 = \frac{19 !}{(19 - 8 )! 8!}$

$= \frac{19 *18 *17 *16 *15 *14 *13 *12 *11! }{11 ! \ 8!}$

$n= 75, 582$

For b Where N = 25 and r = 3

$n = \left 25 } \atop {}} \right. C_3 = \frac{25 !}{(19 - 3 )! 3!}$

$= \frac{25 *24 *23 *22 ! }{22 ! \ 3!}$

$n= 2300$

For c Where N = 23 and r = 2

$n = \left 23 } \atop {}} \right. C_2 = \frac{23 !}{(23 - 2 )! 2!}$

$= \frac{23 *22 *21! }{21 ! \ 3!}$

$n = 253$

4 0

3 years ago

In the storage room of a certain bakery, the ratio of sugar to flour is 5 to 8, and the ratio of flour to baking soda is 10 to 1

olasank [31]

Answer:

1,500

Step-by-step explanation:

Ratio of Sugar to Flour: 5:8 -> 25:40

Ratio of Flour to Baking Soda: 10:1 -> 40:4

Sugar to Flour to Soda: 25x:40x:4x

$\frac{40x}{(4x+60)}$ = $\frac{8}{1}$ -> x = 60

Sugar = 25x = 1,500

Hope this helps :)

7 0

3 years ago

PLEASE ANSWER THIS ASAP!!!!

Anit [1.1K]

Answer:

82 units

Step-by-step explanation:

7 x 3 = 21

21 x 2 = 42

7 x 2 = 14

14 x 2 = 28

2 x 3 = 6

6 x 2 = 12

42 + 28 + 12 = 82

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3 years ago

Which choice correctly describes this event? I will pull a green marble at random out of a jar with 10 blue marbles and 40 green

Simora [160]

Answer:

certinStep-by-step explanation:

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3 years ago

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N^2- 5n +4=0 quadratic equation

luda_lava [24]

Answer:

n = 1, 4

Step-by-step explanation:

Step 1: Write equation

n² - 5n + 4 = 0

Step 2: Solve for n

Factor: (n - 4)(n - 1) = 0

Find roots: n = 1, 4

Step 3: Check

Plug in n to verify if it's a solution.

1² - 5(1) + 4 = 0

1 - 5 + 4 = 0

-4 + 4 = 0

0 = 0

4² - 5(4) + 4 = 0

16 - 20 + 4 = 0

-4 + 4 = 0

0 = 0

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3 years ago

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