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maks197457 [2]
3 years ago
5

Round numerical answers to the nearest hundredth, if necessary.

Mathematics
1 answer:
MAXImum [283]3 years ago
6 0

We are to find how long will it take to return to the ground?

Answer:

t = 0.48 sec

Step-by-step explanation:

We are given;

initial velocity; vi = 40 ft/s

hi = 70 ft

acceleration due to gravity; a = 32 ft/s²

Now, we are given that the rocket's height as a function of time is;

h = -12at² + vit + hi

At ground, h = 0

Plugging in the relevant values to obtain ;

0 = -12(32)t² + 40t + 70

-384t² + 40t + 70 = 0

The roots of the equation gives; t = 0.48 sec

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87.15

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3 years ago
Complete the Table
lianna [129]

Answer:

a= 6

b = 7

c = 8

d = 7

e = 6

Step-by-step explanation:

Notice that the bike is 6 feet above the ground to start with, so when it starts rolling, the green dot is exactly 6 feet from the ground, which gives a=6

when the distance covered by the bike is \frac{\pi}{2}, (see first red dot in the attached image), the position of the green dot is exactly 1 foot added to 6 ft= 7 feet

so b = 7

when the distance covered is \pi, now the green dot would be at the top of the wheel (second red dot in the attached image) which involves adding 2 feet to the original 6 feet. That is: c = 8

when the distance covered is \frac{3\pi}{2}, the green dot is at the position of the third red dot in the attached image., that it exactly one foot added to 6 feet = 7 ft which gives the value of d = 7

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5 0
3 years ago
A local hamburger shop sold a combined total of 813 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburger so
Naya [18.7K]

9514 1404 393

Answer:

  375 hamburgers

Step-by-step explanation:

Let h represent the number of hamburgers. Then h+63 is the number of cheeseburgers, and the combined total is ...

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  2h = 813 -63 = 750

  h = 750/2 = 375

375 hamburgers were sold on Saturday.

_____

<em>Additional comment</em>

In a "sum and difference" problem like this, the smaller number is half the difference between the sum and the difference. h = (813 -63)/2 = 375. This generic solution applies to all "sum and difference" problems.

8 0
2 years ago
What's -8.2 x 10 to the fifth power? Please explain your answer. Thank you!
Stolb23 [73]

First lets find -8.2 x 10 = -82 know we find 82^5 which is 82*82*82*82*82

-82*-82=6724 and then 6724*-82= -551368 and then -551368*-82 =45212176 and then 45212176*-82= -3707398432 and finally -3707398432 is our answer i checked the calc to after i did the hard math that took me forever i had some help from the calc and i got this hopefully this helps

8 0
2 years ago
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