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Pavlova-9 [17]
3 years ago
5

Show your work (?) please

Mathematics
1 answer:
julsineya [31]3 years ago
3 0
2013
Because you move the decimal three places to the right.
OR.
2.013 x 1,000
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What are the coordinates of the point on the directed line segment from (-4,1) to (1,6) that partitions the segment into a ratio
Aleksandr [31]

Answer:

a segment is partitioned at a ratio of 1:3, then the point is one-fourth of the distance from (-4,-1) to (2,7).

To compute the x-coordinate of that point, you will need to compute one-fourth of the x-distance between 2 and -4 then add it to -4: (2--4)/4 = 1.5; 1.5 + -4 = -2.5.

To compute the y-coordinate of that point, you will need to compute one-fourth of the y-distance between 7 and -1 then add it to -1: (7--1)/4 = 2; 2 + -1 = 1.

The point is (-2.5,1)

3 0
2 years ago
Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
shtirl [24]

Given:

The focus of the parabola is at (6,-4).

Directrix at y=-7.

To find:

The equation of the parabola.

Solution:

The general equation of a parabola is:

y=\dfrac{1}{4p}(x-h)^2+k                  ...(i)

Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.

The focus of the parabola is at (6,-4).

(h,k+p)=(6,-4)

On comparing both sides, we get

h=6

k+p=-4                            ...(ii)

Directrix at y=-7. So,

k-p=-7                            ...(iii)

Adding (ii) and (iii), we get

2k=-11

k=\dfrac{-11}{2}

k=-5.5

Putting k=-5.5 in (ii), we get

-5.5+p=-4

p=-4+5.5

p=1.5

Putting h=6, k=-5.5,p=1.5 in (i), we get

y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)

y=\dfrac{1}{6}(x-6)^2-5.5

Therefore, the equation of the parabola is y=\dfrac{1}{6}(x-6)^2-5.5.

4 0
2 years ago
the ortiz will travel fron indianapolis to denver this summer.The driving distance between the two cities is 1058 miles. They ne
Sladkaya [172]

Answer:

  a. 2116 miles

  b. 105.8 gallons

  c. $305.76

  d. cost per gallon = total cost / number of gallons = total cost/105.8

Step-by-step explanation:

<h3>a. </h3>

The round-trip distance is the sum of the distances there and back. It is double the one-way distance.

  round-trip distance = 2 × one-way distance

  round-trip distance = 2 × 1058 miles = 2116 miles

__

<h3>b.</h3>

The gas used will be the distance divided by miles per gallon.

  gas used = round-trip distance / miles-per-gallon

  gas used = (2116 mi)/(20 mi/gal) = 105.8 gal

__

<h3>c.</h3>

The cost of gas will be the product of cost per gallon and number of gallons.

  cost of gas = cost-per-gallon × gallons

  cost of gas = $2.89/gal × 105.8 gal = $305.762 ≈ $305.76

__

<h3>d.</h3>

The relation used in the previous step can be used to find the cost per gallon. Divide that equation by gallons to get ...

  (cost of gas)/gallons = cost-per-gallon

For the same trip, the number of gallons is 105.8, so the equation becomes ...

  cost-per-gallon = (cost of gas)/105.8

3 0
2 years ago
Last question of today<br> 20pts/brainliest//thx
ziro4ka [17]
Answer is 32 square feet
7 0
2 years ago
Read 2 more answers
H 0 : μ ≥ 25 H 1 : μ &lt; 25 Your sample consists of 28 subjects, with a mean of 23.2 and standard deviation of 8.6. Calculate t
kykrilka [37]

Answer:

The test statistic would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

And replacing we got:

t=\frac{23.2-25}{\frac{8.6}{\sqrt{28}}}=-1.11    

Step-by-step explanation:

Information given

\bar X=23.6 represent the sample mean

s=8.6 represent the sample standard deviation

n=28 sample size  

\mu_o =25 represent the value that we want to test

t would represent the statistic

System of hypothesis

We want to test if the true mean is lower than 25, the system of hypothesis would be:  

Null hypothesis:\mu \geq 25  

Alternative hypothesis:\mu < 25  

The test statistic would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

And replacing we got:

t=\frac{23.2-25}{\frac{8.6}{\sqrt{28}}}=-1.11    

7 0
3 years ago
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