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2 years ago

Which of the following points is not coplanar with polnis C, D and E?

Mathematics

1 answer:

Leokris [45]2 years ago

7 0

Answer: Point R

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Explanation:

The term "coplanar" means "points that are in the same plane".

Points A, S and U are all in the base plane. Think of this as the floor of the pyramid, so to speak. These three points are with C, D, and E, which are also on the base plane or floor plane. So we can say that all of these points are coplanar.

In contrast, point R is not on the floor plane. It's higher up. So that's why R is not coplanar with points C,D,E.

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A devastating freeze in California's Central Valley in January 2007 wiped out approximately 75% of the state's citrus crop. It t

solniwko [45]

The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.

The linear equation of the function is: $g(P) = 22.9P+7$ .
The inverse function is: $g^{-1}(c) = \frac{1}{22.9}(c - 7)$ .
A practical domain is from 0% to 100%
A practical range is from 7 to 29.9

A. Input quantity

The input quantity is the percentage of frozen citrus crop

B. Output quantity

The output quantity is the cost of box of oranges

C. The linear function

We have:

$(P_1,c_1) = (20\%,11.58)\\(P_2,c_2) = (80\%,25.32)$

Calculate the slope of the function

$m = \frac{c_2 - c_1}{P_2 - P_1}$

$m = \frac{25.32 - 11.58}{80\%-20\%}$

$m = \frac{13.74}{60\%}$

$m = 22.9$

The linear equation is calculated as follows:

$c -c_1 = m(P-P_1)$

$c -11.58= 22.9(P-20\%)$

$c-11.58 = 22.9P-4.58$

D. Rewrite as y = mx + b

We have:

$c-11.58 = 22.9P-4.58$

Collect like terms

$c = 22.9P - 4.58 + 11.58$

$c = 22.9P+7$

The function is:

$g(P) = 22.9P+7$

E. A practical domain

The domain is the possible values of P. Because P is a percentage, its possible values are 0% to 100%.

The domain of the function is: $[0\%,100\%]$

F. A practical range

When P = 0%

$c = 22.9 \times 0\% + 7 = 7$

When P = 100%

$c = 22.9 \times 100\% + 7 = 29.9$

Hence, the range of the function is: $[7,29.9]$

G. The meaning of $g^{-1}(12)$

The inverse function of g(P) is $g^{-1}(P)$

So:

$g^{-1}(12)$ is the percentage of frozen citrus crop, when the cost is $12.

H. The inverse formula

We have:

$c = 22.9P+7$

Subtract 7 from both sides

$c - 7 = 22.9P$

Make P the subject

$P = \frac{1}{22.9}(c - 7)$

So, the inverse formula is:

$g^{-1}(c) = \frac{1}{22.9}(c - 7)$

Substitute 12 for c

$g^{-1}(12) = \frac{1}{22.9}(12 - 7)$

$g^{-1}(12) = \frac{1}{22.9} \times 5$

$g^{-1}(12) = 22\%$

Read more about linear equations at:

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6 0

2 years ago

3+2−16⋅9=? can you help me

wel

-99..?? I think that’s the answer

7 0

3 years ago

Read 2 more answers

What's the ordered pair ?

nekit [7.7K]

The answer will be the set of points that contains a different x value for each point.

We clearly see that for ever point in terms of CHOICE C the value of x is different.

Answer: Choice C

5 0

3 years ago

Ross has to fill up a 300 gallon tank. There are already 75

stepan [7]

Answer: He needs 9 hours to finish the task.

Step-by-step explanation:

Hi, first we have to subtract the gallons of water already in the tank (75) to the total capacity of the tank (300).

300-75 = 225

He needs to fill 225 gallons.

Since the pump Ross uses can fill 25 gallons of water per hour, the proportion is :

25 g / 1h

For 225 gallons:

225 g / x hours

Solving for x

25/1 = 225/x

x= 225/ (25/1)

x = 9 hours

5 0

3 years ago

? points Simplify completely : 5x - 20 9x - 36

pantera1 [17]

Answer:

5/9

Step-by-step explanation:

4 0

2 years ago