Answers
Answer:
A) 30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F
B) [tex]f(x)=-0.4x+88[/tex]
Step-by-step explanation:
A)
In this problem, f(x) represents temperature, in degrees Fahrenheit, of Sam’s house x minutes after the air conditioner started to cool the house.
So we have:
x = minutes after the air conditioner started to cool the house
f(x) = temperature
Here we want to find what is the meaning of
[tex]f(30)=76[/tex]
Which implies that:
[tex]x=30[/tex], which means that 30 minutes have passed after the conditioner has started to cool the house
[tex]f(x)=76[/tex], which means that the temperature of the room at that time is 76°F
So, the interpretation of f(30) =76 is that:
"30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F"
B)
Here we want to write explicitly a function that tells us how the temperature inside the house varies as a function of x, the number of minutes passed after the air conditioner has turned on.
We know the following information:
- At time x = 0, the temperature inside the house is 88°F
- At time x = 30 min, the temperature inside the house is 76°F
We can assume that the temperature inside the house changes linearly with time; so, we can describe the temperature function with the equation of a line:
[tex]f(x)=mx+q[/tex]
where
[tex]q[/tex] is the value of the temperature at x = 0, so q = 88
m is the rate of change of the temperature
The rate of change can be found by calculating the rate of change of the temperature with respect to the change in time; so we find:
[tex]m=\frac{76-88}{30-0} =-0.4[/tex]
which means that the temperature decreases by 0.4°F every minute. So, the function can be written as
[tex]f(x)=-0.4x+88[/tex]
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Answers
Answer:
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Answers
The relationship between her height and the tree's is an illustration of ratios and proportions
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[tex]\mathbf{h =1.85}[/tex]
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Answers
Answer:
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Answer:
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Step-by-step explanation:
Sorry I Can't explain because I'm busy right now
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Answers
Answer:
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Step-by-step explanation:
A. 32 divided by 1 = 32
Works, it is correct
B. 32 divided by 2 = 16
Works, it is correct
C. 32 divided by 3 = 12
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Works, it is correct
-Chetan K
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Answers
Answer:
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Answers
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Answers
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Answers
Answer:
?? No questions asked here
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Answers
Answer:
118.72
Step-by-step explanation:
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Answer:
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Answers
Answer:
15 and 5 hours.
Step-by-step explanation:
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Answers
Answer:
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Answer:
Choose the option D
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Answers
The expected gain or loss is an illustration of mean and expected values.
The expected total gain is 83 points
The given parameters are:
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[tex]\mathbf{E(x) = 0.83}[/tex]
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[tex]\mathbf{Gain = 100 \times 0.83}[/tex]
[tex]\mathbf{Gain = 83}[/tex]
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Answers
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6.1
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Answer:
x = 6.06
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
EXPAND AND SIMPLIFY
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Answers
Hey there!
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DISTRIBUTE
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= 10x + 6 - 4x + 6
COMBINE the LIKE TERMS
= 6x + 12
Therefore, your answer should be:
6x + 12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
10x + 6 - 4x - 6
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Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3 feet longer than the width. What are the approximate dimensions of the rug? Round each dimension to the nearest tenth of a foot. 10. 4 feet by 7. 4 feet 11. 1 feet by 8. 1 feet 13. 4 feet by 10. 4 feet 14. 1 feet by 11. 1 feet.
Answers
A rectangular rug divided by its diagonal becomes a right angle triangle
The length and width of the rug is 14.1 feet by 11.1 feet
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length = x + 3
diagonal ² = length ² + width ²
18² = x² + (x + 3)²
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2x² + 6x - 315 = 0
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x = - b ± √b² - 4ac / 2a
= - 6 ± √6² - 4×2×-315 / 2×2
= -6 ± √36 - (-2520) / 4
= -6 ± √36 + 2520/4
= -6 ± √2556 / 4
= - 6 ± 6√71 / 4
= -6/4 ± 6√71 / 4
= -3/2 ± 3√71/2
x = 11.1392 or -14.1392
The value of x can't be negative
So,
x = 11.1 to the nearest tenth
Therefore, the value of width and length is
width = x
= 11.1 feet
length = x + 3
= 11.1 + 3
= 14.1 feet
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Answers
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Step-by-step explanation:
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Answers
Answer:
The expected value is 50 degrees.
Step-by-step explanation:
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Admission to a science museum is $22 for an adult. The cost for a child is five dollars less than the cost for an adult. What would be the total cost of admission for 12 adults and 15 children? Explain.
Answers
Children: $22 - $5 = $17
22a + 17c = t
22(12) + 17(15) = t
264 + 255 = $519
The total cost of admission is $519.
Hope this helped!
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Answers
Answer:
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The supermarket has 10 aisles. 1 of the aisles is empty. What percentage of the aisles are empty?
Write your answer using a percent sign (%).
Answers
Answer:
10%
Step-by-step explanation:
1 out of 10 isles is the same as doing 1 divided by 10, which gets 0.1. To make this a percentage you would multiply it by 100 to get 10%
Name
Lily Daku November 17, 2021 pec
Common Core Standards Practi
Selected Response
co
1. Find the slope of the line that
passes through the points (-1,9)
and (3, 17).
Answers
Substitute
(9 - 17/-1 - 3) = 2