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melamori03 [73]
3 years ago
10

Hannah finds purple, blue, and silver space rocks while exploring. 2/3

Mathematics
1 answer:
iren [92.7K]3 years ago
6 0

Answer:

try 41

Step-by-step explanation:

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the initial vertical velocity of a rocket shot straight up is 42 meters per second. How long does it take for the rocket to retu
Snowcat [4.5K]
It takes 4.3 seconds for the rocket to return to earth.

The equation is:
0=-9.8t^2+v_0t+h_0
where -9.8m/sec² is the acceleration due to gravity, v₀ is the initial velocity, and h₀ is the initial height.  We will go from the assumption that the rocket is launched from the ground, so h₀=0, and we are told that the initial velocity, v₀, is 42.  This gives us:

0=-9.8t^2+42t

We will use the quadratic formula to solve this.  The quadratic formula is:
x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Plugging in our information we have:
t=\frac{-42\pm \sqrt{42^2-4(-9.8)(0)}}{2(-9.8)}
\\
\\=\frac{-42\pm \sqrt{1764-0}}{-19.6}
\\
\\=\frac{-42\pm \sqrt{1764}}{-19.6}
\\
\\=\frac{-42\pm 42}{-19.6}=\frac{-42-42}{-19.6} \text{ or } \frac{-42+42}{-19.6}
\\
\\=\frac{-84}{-19.6}\text{ or }\frac{0}{-19.6}
\\
\\=4.3\text{ or }0

x=0 is when the rocket is launched; x=4.3 is when the rocket lands.
8 0
3 years ago
Tisa and Paloma are measuring different lengths of sidewalk.
katen-ka-za [31]

Answer:

The answers are the 2nd, 5th, and last answer choices. Source: I did this question before and I remember the answers.

IAnswerQuestionsBoi avatar

Your welcome if that helped

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
After a discount of 15%, the of a shirt is $51. what was the original price of the shirt?
lina2011 [118]

Answer:

$58.65

Step-by-step explanation:

change 15% to a decimal than multiply .15 by 51 then add 51.

6 0
3 years ago
Read 2 more answers
Which of the following expressions is correctly written in scientific notation?
valentinak56 [21]

Answer: D is correctly written in scientific notation.

Step-by-step explanation:

The base has to be between 1 and 10.

A has a base of 16.4 which is greater than 9.

B is not even in scientific because the base it being raise to an exponent

C has 0.71 as base which is less that.

3 0
3 years ago
Deshawn invests $5,000 in a savings account that earns 6% annual interest, compounded continuously. How long will it take to dou
koban [17]

Answer:

Step-by-step explanation:

Investment = $5,000

Annual Interest = 5%

5000/100 x 5/1

50×5 = 250

First year interest = $250

Therefore, 250 x 20

= $5,000

It will take him 40 years.

6 0
3 years ago
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