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natta225 [31]
3 years ago
12

What is the answer to 186,000 miles per second rounded to the nearest thousand miles per second.

Mathematics
1 answer:
vitfil [10]3 years ago
3 0
I didn't round by the answer would be 115.575042 miles per second.
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find an equation in the form y=ax^2+bx+c for the parabola passing through the points. (2,28),(4,116),(-3,88)
IgorC [24]
<h3>Answer:</h3>

y = 8x² -4x +4

<h3>Explanation:</h3>

I find it quick and easy to let a graphing calculator do quadratic regression on the given points. It gives the coefficients of the equation directly. (See attached.)

_____

If you want to do this "by hand," you can substitute each of the x and y value pairs into the equation to get three linear equations in a, b, and c. These are generally easy to solve, as the "c" variable can be eliminated right away.

<em>For x = 2</em>

... 28 = a·2² +b·2 +c = 4a +2b +c

<em>For x = 4</em>

... 116 = a·4² +4b +c = 16a +4b +c

<em>For x = -3</em>

... 88 = a·(-3)² +b·(-3) +c = 9a -3b +c

Subtracting the first and third equations from the second, we have ...

... (16a +4b +c) -(4a +2b +c) = (116) -(28) ⇒ 12a +2b = 88

... (16a +4b +c) -(9a -3b +c) = (116) -(88) ⇒ 7a +7b = 28

Dividing the first of these reduced equations by 2, and the second by 7, we have ...

  • 6a +b = 44
  • a +b = 4

Subtracting the second of these from the first gives ...

... (6a +b) -(a +b) = (44) -(4) ⇒ 5a = 40

From which we find

... a = 8

... b = 4 -a = 4 -8 = -4

We choose the first of the original equations to find c:

... c = 28 -4a -2b = 28 -4·8 -2(-4)

... = 28 -32 +8 = 4

With (a, b, c) = (8, -4, 4), the equation of the parabola is ...

... y = 8x² -4x +4

5 0
3 years ago
a container of coffee is 1/6 full.The container contains 2/3 of a pound of coffee.write division expression that represents the
zimovet [89]

Answer:

capacity of the container is 4 pound

Step-by-step explanation:

We have given that a container of the coffee is \frac{1}{6} full

And it contains \frac{2}{3} of a pound so \frac{2}{3} pound

It means \frac{1}{6} f of container contain  \frac{2}{3}  pound coffee

So capacity of the container is \frac{\frac{2}{3}}{\frac{1}{6}}=4pound

So capacity of the container is 4 pound

8 0
3 years ago
Use the table to answer the question.
Akimi4 [234]

Step-by-step explanation:

You can choose one of the prices above to find the proportion.

\frac{2}{4}  =  \frac{2.30}{y}  \\ 2 \times y = 2.30 \times 4 \\ y = 2.30 \times 2 \\ y = 4.60

<h3>#CMIIW</h3>

7 0
3 years ago
Read 2 more answers
PLEASE HELP AGAIN DUE TONIGHT WILL GIVE BRAINLIST!!!
Volgvan

Answer:

-3072

Step-by-step explanation:

8 0
3 years ago
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Andrew and his father are scuba diving at -38 feet and tackle box Canyon has an elevation of -83 feet right and inequality to co
zepelin [54]
-38 > -83
Where Andrew and his father are scuba diving has a higher elevation than tackle box Canyon.
7 0
3 years ago
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