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Oksana_A [137]
3 years ago
15

Evaluate: 100−20.2×4.5. i need this for imagen math

Mathematics
1 answer:
Ilya [14]3 years ago
3 0

Answer:

359.1

Step-by-step explanation:

100 - 20.2 is 79.8

79.8 x 4.5 is 359.1

therefore it is 359.1

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NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+121t
Alenkasestr [34]

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

h(t)=-4.9t^2+121t+283

The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:

h(t)=0\implies-4.9t^2+121t+283=0

Using the quadratic formula, the solution for our problem is

\begin{gathered} t=\frac{-(121)\pm\sqrt{(121)^2-4(-4.9)(283)}}{2(-4.9)} \\ =\frac{121\pm142.083778...}{9.8} \\ =\frac{121+142.083778...}{9.8} \\ =26.8452834694... \end{gathered}

The rocket splashes after 26.845 seconds.

The maximum of this function happens at the root of the derivative. Differentiating our function, we have

h^{\prime}(t)=-9.8t+121

The root is

-9.8t+121=0\implies t=\frac{121}{9.8}=12.347

Then, the maximum height is

h(12.347)=1029.99

1029.99 meters above sea level.

6 0
2 years ago
In the following exercises, translate into an equation and solve
Citrus2011 [14]

Answer: 6 children

Step-by-step explanation:

Given:

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Groups - 4

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24 ÷ 4 = x

x = 6

Hope it helps!!! Please mark as brainliest. Thanks :D

7 0
2 years ago
A display of data in which all scores in a data set are arranged from highest to lowest is a
gtnhenbr [62]
I would say Median but thats from lowest to highest not highest to lowest so I'm not sure :/
5 0
4 years ago
Do the ratios 1/3 and 2/9 form a proportion
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Answer: No they don't because there is not way 1/3 can be multiplied by a number to get  2/9 and there is no way 2/9 can be divide by any number to get 1/3.

Step-by-step explanation:

4 0
4 years ago
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The Ratio of men to women in a certain factory is 3 to 4. There are 198 men. How many workers are there?
klemol [59]

So 3:4::198:?. 3 is to 198 as 4 is to ?. You're solving for ? so you want that on the top of the fraction. 4/3=?/198. Multiply both sides by 198. ?=(4/3)(198)=264 women. Then add the men. 264+198=462 workers.

Check your work. (462/7)*3=198 men.

4 0
3 years ago
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