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3 years ago

PLS HELP HELP HELP HELP HELP

Mathematics

2 answers:

Anna35 [415]3 years ago

8 0

Answer:

B 7.5

Step-by-step explanation:

Yanka [14]3 years ago

4 0

Answer:

B 7.5 because it's a dilation of -5, meaning you divide 15/2 to get the answer.

Step-by-step explanation:

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Answer please n thank you :)

Norma-Jean [14]

Answer:45

Step-by-step explanation:

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3 years ago

Is 3 1/2 a whole number

Alina [70]

No it isnt. hope this helps

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2 years ago

Read 2 more answers

Find three right triangles based upon the Pythagorean Triple of 8, 15, and 17. Explain how you know these are triangles.

Luba_88 [7]

A^2 + b^2 = c^2
8^2 + 15^2 = 17^2
64 + 225 = 289
289=289
It is a triangle because the numbers match the Pythagorean Theorem.

7 0

3 years ago

The Consumer Price Index (CPI) is a measure of the change in the cost of goods over time. If 1982 is used as the base year of c

Mashcka [7]

Answer:

a) $y = 3.8 x +100$

b) $Abs. change= |168.4-167.5|=0.9$

So the calculated value is 0.9 points above the actual value.

$Relative. Change =\frac{|168.4 -167.5|}{167.5}x100 =0.537$ %

And the calculated value it's 0.537% higher than the actual value.

c) For this case we can use the slope obtained from the linear model to answer this question, and we can conclude that the CPI is increasing at approximate 3.8 units per year.

Step-by-step explanation:

Data given

1982 , CPI=100

1986, CPI = 191.2

Notation

Let CPI the dependent variable y. And the time th independent variable x.

For this case we want to adjust a linear model givn by the following expression:

$y=mx+b$

Solution to the problem

Part a

For this case we can find the slope with the following formula:

$m =\frac{CPI_{2006}-CPI_{1982}}{2006-1982}$

And if we replace we got:

$m =\frac{191.2-100}{2006-1982}=3.8$

Let X represent the number of years after. Then for 1982 t = 0, and if we replace we can find b:

$100 = 3.8(0)+b$

And then $b=100$

So then our linear model is given by:

$y = 3.8 x +100$

Part b

For this case we need to find the years since 1982 and we got x = 2000-1982=18, and if we rpelace this into our linear model we got:

$y = 3.8(18) +100=168.4$

And the actual value is 167.5 we can compare the result using absolute change or relative change like this:

$Abs. change= |168.4-167.5|=0.9$

So the calculated value is 0.9 points above the actual value.

And we can find also the relative change like this:

$Relative. Change =\frac{|Calculated -Real|}{Real}x100$

And if we replace we got:

$Relative. Change =\frac{|168.4 -167.5|}{167.5}x100 =0.537$ %

And the calculated value it's 0.537% higher than the actual value.

Part c

For this case we can use the slope obtained from the linear model to answer this question, and we can conclude that the CPI is increasing at approximate 3.8 units per year.

3 0

3 years ago

If a girl in a bikini has walked 4 KM in 10 minutes, How many kilometers does she walk in 3 years?

Mashutka [201]

Answer:

631139.04 kilometers in 3 years

Step-by-step explanation:

Let x = how many kilometers she walk

y = time (minutes)

Since she walks 4km in 10 minutes.

x = 4, y = 10

(4,10)

But how many minutes if she walk only a kilometer? Divide x and y by 4.

(1,2.5)

She walks a kilometer under 2.5 minutes.

Now finding rate of changes.

$\displaystyle \large{m = \frac{10 - 2.5}{4 - 1} } \\ \displaystyle \large{m = \frac{7.5}{3} } \\ \displaystyle \large{m = 2.5}$

Since m = 2.5

and of course, the function should be proportional so the equation should be y = mx.

$\displaystyle \large{y = 2.5x }$

Since time should be minutes instead of years.

Since 3 years = 1577847.6 minutes

$\displaystyle \large{1577847.6 = 2.5x}$

Divide both sides by 2.5

$\displaystyle \large{ \frac{1577847.6}{2.5} = x} \\ \displaystyle \large{631139.04 = x }$

5 0

2 years ago