A thermometer reading 70F is taken outside. Five minutes later the thermometer reads 40F. Thirty-five minutes after being taken outside, the thermometer reading is within one-half a degree of the outside temperature. Find the value of the outside temperature assuming it is constant. Ans. 9.5oF
Answers
Answer:
yes
Step-by-step explanation:
Final answer:
To find the value of the outside temperature, we will convert the Fahrenheit temperature readings to Celsius and use the given information. The outside temperature is approximately 9.5 °C assuming it is constant.
Explanation:
To find the value of the outside temperature, we will solve the problem using the Celsius scale. On the Celsius scale, the freezing point of water is 0 °C and the boiling point is 100 °C. The unit of temperature on this scale is the degree Celsius (°C). We can convert the Fahrenheit temperature readings to Celsius and then find the outside temperature using the given information.
Step 1: Convert the initial temperature from Fahrenheit to Celsius:
Initial temperature = 70 °F = 21.111 °C
Step 2: Convert the temperature after 5 minutes from Fahrenheit to Celsius:
Temperature after 5 minutes = 40 °F = 4.444 °C
Step 3: Calculate the change in temperature:
Change in temperature = (Temperature after 5 minutes - Initial temperature) = (4.444 °C - 21.111 °C) = -16.667 °C
Step 4: Calculate the rate of change of temperature per minute:
Rate of change of temperature per minute = (Change in temperature / 5 minutes) = (-16.667 °C / 5 minutes) = -3.333 °C/minute
Step 5: Calculate the temperature 35 minutes after being taken outside:
New temperature = (Initial temperature + (Rate of change of temperature per minute x 35 minutes)) = (21.111 °C + (-3.333 °C/minute x 35 minutes)) = 9.444 °C
Step 6: Since the thermometer reading 35 minutes later is within one-half degree of the outside temperature, the outside temperature is approximately:
Outside temperature = (New temperature ± 0.5 °C) = (9.444 °C ± 0.5 °C) = 8.944 °C to 9.944 °C
So, assuming the outside temperature is constant, the value of the outside temperature is approximately 9.5 °C.
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Answers
Answer: x=3y−9
Step-by-step explanation:Let's solve for x.
−x+3y=9
Step 1: Add -3y to both sides.
−x+3y+−3y=9+−3y
−x=−3y+9
Step 2: Divide both sides by -1.
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x=3y−9
Answers
A₁ = (2*(12.5 ft + 10.5 ft))*(8.0 ft) = 368 ft²
The window and door area together is
A₂ = 2*((4 ft)*(3 ft)) + (7 ft)*(3 ft) = 45 ft²
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A₃ = (2.5 ft)*(30 ft) = 75 ft²
Then the number of rolls of wallpaper required will be
1.1*(A₁ - A₂)/A₃ ≈ 4.74
5 rolls of wallpaper should be purchased.
_____
As a practical matter, not much of the window and door area can be saved. The rolls are 30 inches wide, but the openings are 36 inches wide. Some will likely have to be cut from two strips. The strips will have to be the full length of the wall, and the amount cut likely cannot be used elsewhere. If the window and door area cannot be salvaged, then likely ceiling(5.4) = 6 rolls will be needed (still allowing 10% for matching and waste).
sample of 10 apartments advertised in the localnewspaper is $580.
Assume that the standard deviation is$90. Find a 95% confidence
interval for the mean monthly rentfor unfurnished one bedroom
apartments available for rent in thiscommunity.
Answers
Answer:
Step-by-step explanation:
Confidence interval for population mean is given by :-
, where = Sample mean
z* = critical z-value.
= Population standard deviation.
n= Sample size.
Let x be the denotes the monthly rent for unfurnished one bedroom apartments available for rent in this community.
As per given , we have
n= 10
Critical value for 95% confidence : z* = 1.96
So the 95% confidence interval becomes,
Hence, a 95% confidence interval for the mean monthly rent for unfurnished one bedroom apartments available for rent in this community=
B) 1 ≤ ƒ(x) ≤ 6
C) –2 ≤ x ≤ 2
D) –2 ≤ ƒ(x) ≤ 2
Answers
Answer:
Option (C)
Step-by-step explanation:
Domain of a function is represented by the 'x' values on the graph.
Similarly, y-values of a function represents the range.
Therefore, options (B) and (D) will not be the answer as they are representing the function values or y-values.
Given segments starts form x = -2 and ends at x = 2 (Including these points).
Therefore, Domain of the segment will be [-2, 2] Or -2 ≤ x ≤2
Option (C) will be the correct option.
Answer:
B) 1 ≤ ƒ(x) ≤ 6
Step-by-step explanation:
this is the right answer I got it right on usa test prep
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Answers
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Whose purple paint will be bluer?
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In this case, Hassan mixes 1 cup of blue paint and 3 cups of red paint. The percentage for blue paint will be:
= 1 / (1 + 3) × 100
= 1/4 × 100
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Skylar mixes 5 cups of blue paint and 3 cups of red paint. The percentage for blue will be:
= 5 / (5 + 3) × 100
= 5/8 × 100
= 62.5%
Skylar has bluer paint.
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Answers
Answer:
8
Step-by-step explanation:
x² − x = 56
x² − x − 56 = 0
(x − 8) (x + 7) = 0
x = -7 or 8
x is positive, so x = 8.