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slega [8]
3 years ago
9

A creature on the moon throws a rock off a cliff. The height of the rock above the surface of the moon, in meters, t seconds aft

er it is thrown is given by h(t) = −t 2 + 8t + 10. When does the rock hit the surface of the moon?
Mathematics
1 answer:
elena-s [515]3 years ago
6 0

Answer:

9.099 seconds

Step-by-step explanation:

The rock hits the surface of the moon when is t is 0.

-t^2 + 8t + 10 = 0\\t^2 - 8t - 10 = 0

Use the quadratic formula

t = -1.099 and 9.099

Since time can't be negative, the answer is t = 9.099

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nathan smiled at 50 people one day and recorded that 36 people smiled back at him.Based on his observations how many people shou
Olegator [25]

Given :

Nathan smiled at 50 people one day and recorded that 36 people smiled back at him.

To Find :

How many people should Nathan expect to return a smile if he smiles at 650 people over a period of time.

Solution :

Ratio of people smiled by total number of people is :

R = \dfrac{36}{50}

Now, it is given that we have to use the given conditions.

Therefore, ratio will be same :

\dfrac{s}{650}=\dfrac{36}{50}\\\\s = \dfrac{36}{50}\times 650\\\\s = 468

Therefore, number of smiles Nathan expect to return is 468.

4 0
3 years ago
Form a sequence that has two arithmetic means between 13 and 88.
hichkok12 [17]

Answer:

Correct choice is A

Step-by-step explanation:

For the numbers 13 and 88, find the difference 88-13:

since 88-13=75 and \dfrac{75}{3}=25 (two arithmetic means tells you there will be three intervals), two arithmetic means will be

  • 13+25=38;
  • 38+25=63.

The only correct sequence is 13, 38, 63, 88.


7 0
3 years ago
Read 2 more answers
Rasida ran 5 more miles than 2 times the number of miles Diallo ran this week. Rasida ran 27 miles this week.
Sholpan [36]

Answer:

11

Step-by-step explanation:

Rasida ran 27 miles total.  she ran 5 more miles than double what Diallo ran.

27-5=22

Now divide 22 by 2 to get how many miles Diallo ran.

7 0
3 years ago
Can some one please help me.
Otrada [13]
X = 29 and y = 101.

To find this, you need to set up an equation.

6x - 95 = 79. Once you solve this, x would equal 29.

Since 6x - 95 and y are on a straight line, they would have to equal 180. So you make another equation except you plug in 29 for x this time.

6(29) - 95 + y = 180. Once you solve this, y would equal 101.
6 0
3 years ago
A landscaper buys 1 gallon of plant fertilizer. He uses 1/5 of the fertilizer, and then divides the rest into 3 smaller bottles.
PIT_PIT [208]

Answer:

\frac{4}{15} of a gallon per bottle

Step-by-step explanation:

1 - \frac{1}{5} = \frac{4}{5}

\frac{4}{5} / 3 = \frac{4}{5} x \frac{1}{3} = \frac{4}{15}

5 0
3 years ago
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