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Licemer1 [7]
3 years ago
7

20 points for correct answer and a brainliest for first correct answer!

Mathematics
1 answer:
natka813 [3]3 years ago
6 0

Answer:

D

Step-by-step explanation:

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A helicopter hovers over a mountain top, and a professional snowboarder drops onto the snow 252525 feet below. the snowboarder's
pantera1 [17]
Given:
  h(t) = 25 - a·t²
  h(0.5) = 21

Find:
  t such that h(t) = 0

Solution:
  h(0.5) = 25 - a·0.5² = 21
  25 - 21 = a/4
  4·4 = a = 16
Then
  h(t) = 25 - 16t²
We want h(t) = 0, so
  0 = 25 - 16t²
  16t² = 25
  t² = 25/16 = (5/4)²
  t = 5/4 = 1.25

It takes 1.25 seconds for the entire 25 ft drop.

8 0
3 years ago
The monthly utility bills in a city are normally distributed with a mean of $100 and a standard deviation of $12. Find the proba
Korolek [52]
40% just because that the answer
4 0
3 years ago
In order to solve the following system of equations by addition, which of the
Pavlova-9 [17]

Answer:

Multiply the top equation by -3 and the bottom equation by 2

Step-by-step explanation:

Given <u>system of equations</u>:

\begin{cases}4x-2y=7\\3x-3y=15 \end{cases}

To solve the given system of equations by addition, make one of the variables in both equations <u>sum to zero</u>.  To do this, the chosen variable must have the <u>same coefficient</u>, but it should be <u>negative</u> in one equation and <u>positive</u> in the other, so that when the two equations are added together, the variable is <u>eliminated</u>.

<u>To eliminate the </u><u>variable y</u>:

Multiply the top equation by -3 to make the coefficient of the y variable 6:

\implies -3(4x-2y=7) \implies -12x+6y=-21

Multiply the bottom equation by 2 to make the coefficient of the y variable -6:

\implies 2(3x-3y=15) \implies 6x-6y=30

Add the two equations together to <u>eliminate y</u>:

\begin{array}{l r r}& -12x+6y= &-21\\+ & 6x-6y= & 30\\\cline{1-3}& -6x\phantom{))))))} = & 9\end{array}

<u>Solve</u> for x:

\implies -6x=9

\implies x=-\dfrac{9}{6}=-\dfrac{3}{2}

<u>Substitute</u> the found value of x into one of the equations and <u>solve for y</u>:

\implies 3\left(-\dfrac{3}{2}\right)-3y=15

\implies -\dfrac{9}{2}-3y=15

\implies -3y=\dfrac{39}{2}

\implies y=-\dfrac{39}{2 \cdot 3}

\implies y=-\dfrac{13}{2}

Learn more about systems of equations here:

brainly.com/question/27868564

brainly.com/question/27520807

3 0
2 years ago
Read 2 more answers
I will upvote and give brainliest answer
grigory [225]

Answer:

The answer is 67 degrees.

Step-by-step explanation:

The angle x is supplementary with 23 degrees because that angle is an alternate interior. Recall that is within a right angles as well so

90 - 23 = 67

7 0
3 years ago
Read 2 more answers
-1/2 + 4/9
stira [4]

Answer:

-1/18

Step-by-step explanation:

First, you have to change both fractions to have like denominators. The LCM of 2 and 9 is 18.

Second, you have to multiply -1/2 by 9/9 to get a denominator of 18. -1/2 x 9/9 is - 9/18.

Third, you have to multiply 4/9 by 2/2 to get a denominator of 18. 4/9 x 2/2 = 8/18.

Fourth, -9/18 + 8/18 = -1/18

Hope this helps!

4 0
3 years ago
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