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2 years ago

8

Your teacher says he will give you 2200 seconds to complete the practice quiz, how long is this in hours? Express your answer ro

unded to the nearest hundredth of an hour.

1 answer:

Rama09 [41]2 years ago

7 0

0.611 hour

hope this helps!

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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.

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

<u>A. Input quantity</u>

The input quantity is the percentage of frozen citrus crop

<u />

<u>B. Output quantity </u>

The output quantity is the cost of box of oranges

<u>C. The linear function</u>

We have:

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

<em>Calculate the slope of the function</em>

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

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

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

$m = 22.9$

<em>The linear equation is calculated as follows:</em>

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

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

$c-11.58 = 22.9P-4.58$

<u>D. Rewrite as y = mx + b</u>

We have:

$c-11.58 = 22.9P-4.58$

Collect like terms

$c = 22.9P - 4.58 + 11.58$

$c = 22.9P+7$

<em>The function is:</em>

$g(P) = 22.9P+7$

<u>E. A practical domain</u>

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: $[0\%,100\%]$

<u>F. A practical range</u>

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.

<u>H. The inverse formula</u>

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:

brainly.com/question/19770987

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2 years ago

-x=2-3x+3<br> Help me solve this

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I got the answer x=5/2

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3 years ago

Read 2 more answers

Need help ASAP!!!!Make sure you can explain your answer

SCORPION-xisa [38]

Answer:

see below

Step-by-step explanation:

point A(x,y) becomes A'(-x,-y).

So point E (-3,-5) becomes E'( 3,5)

F (-1,-1) becomes F'(1,1)

and G (0,-5) becomes G'( 0,5)

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Nina has $5 and $10 bills in her wallet. She has a total of 13 bills with a value of $85. How many of each type of bill does she

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Answer:

I got eleven 5 dollar bills and and I got 3 ten dollar bills

Step-by-step explanation:

what i did was start out with 85/5, then that was 17 so I started minusing 2 fives to = 1 ten so 15 5's and 1, 10 then so forth 13 5 dollar bills and 2 10 dollar bills, 11 5 dollar bills and 3 ten dollar bills. y=-2x+17

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If the boy is 5’6 tall and his shadow is 4 ft and the shadow of the pole 18 ft determine the height of the pole to the nearest 1

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The answer is 24.7ft

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