The function 1=21.55 cos m-7 +43.75models the average high temperature in degrees Fahrenheit each month b throughout the year in Anchorage, Alaska, where m 1 for January and m 12 for December. Approximate y how many nmonths is the average high temperature above freezing (32 F)?
Answers
Answer:
8
Step-by-step explanation:
The number of months that having average high temperature above freezing (32 F) is approximately for 3 months.
What is a function?A function is defined as a relation between a set of inputs having one output each. It is a set of permissible outputs with the property that each input is related to exactly one output.
For the given situation,
The function is [tex]t=21.55 cos(\frac{\pi }{6}(m-7) )+43.75[/tex]
The temperature for months are calculated using the function t.
Here m = 1 refers January,
m = 2 refers February and so on.
Now substitute m = 1 for January,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(1-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-6) )+43.75[/tex]
⇒ [tex]t=22.2[/tex]
For February m = 2,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(2-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-5) )+43.75[/tex]
⇒ [tex]t=25.08[/tex]
For march m = 3,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(3-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-4) )+43.75[/tex]
⇒ [tex]t=32.9[/tex]
For April m = 4,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(4-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-3) )+43.75[/tex]
⇒ [tex]t=43.75[/tex]
For May m = 5,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(5-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-2) )+43.75[/tex]
⇒ [tex]t=54.525[/tex]
For June m = 6,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(6-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(-1) )+43.75[/tex]
⇒ [tex]t=62.41[/tex]
For July m = 7,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(7-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(0) )+43.75[/tex]
⇒ [tex]t=65.3[/tex]
For August m = 8,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(8-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(1) )+43.75[/tex]
⇒ [tex]t=62.41[/tex]
For September m = 9,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(9-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(2) )+43.75[/tex]
⇒ [tex]t=54.525[/tex]
For October m = 10,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(10-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(3) )+43.75[/tex]
⇒ [tex]t=43.75[/tex]
For November m = 11,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(11-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(4) )+43.75[/tex]
⇒ [tex]t=32.975[/tex]
For December m = 12,
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(12-7) )+43.75[/tex]
⇒ [tex]t=21.55 cos(\frac{\pi }{6}(5) )+43.75[/tex]
⇒ [tex]t=25.087[/tex]
Thus from the above temperatures of each month, the temperature for three months are less than 32°F.
Hence we can conclude that the number of months that having average high temperature above freezing (32 F) is approximately for 3 months.
Learn more about functions here
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Answers
Answer:
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Step-by-step explanation:
The given parameters are;
The initial number pf bushels the farmer has = 120 bushels
The amount of bushels of wheat the farmer sells each day = 16⁵/₈ = 16.625
The number of bushels sold after 5 days = 16.625 × 5 = 83.125 bushels
The total change in the number of bushels she has for sale after 5 days = The number of bushels sold after 5 days
The total change in the number of bushels she has for sale after 5 days = 83.125 bushels.
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Step-by-step explanation:
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Step-by-step explanation:
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hahahahawe fiefu3j4ion31pigjp 34gn4j32ogfp34 ijg3 4g1i34onglm3go 314go34n1go31lg 34ogp13m4ogfp123g 34p1gfoi32jmfop23f 31ogi3j4go
Step-by-step explanation:
Simple Interest
Simple interest represents a fee you pay on a loan or income you earn on deposits.
When borrowing money: You must repay the amount you borrowed and make extra payments for interest, which represents the cost of borrowing.
When lending money: You typically set a rate and earn interest income in exchange for making your money available to other people.
When depositing money: Interest-bearing accounts such as savings accounts pay interest income because you are making money available to the bank to lend to others.
How to Calculate It
In the following example, the term "simple" means you're working with the simplest way of calculating interest. Once you understand how to calculate simple interest, you can move on to other calculations, such as annual percentage yield (APY), annual percentage rate (APR), and compound interest.
Hope this helps! <3
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Answer:
[tex]g^{-1}(x)=1+10^{x/2}[/tex]
Step-by-step explanation:
Inverse Function
Let's call:
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Divide by 2:
[tex]y/2=log(x-1)[/tex]
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[tex]10^{y/2}=x-1[/tex]
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Answers
Answer:
10 water stations are needed
Step-by-step explanation:
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Answers
Answer:
40%
Step-by-step explanation:
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A triangle has an 8-inch height and a 10-inch base. The percent of the area of the triangle is within 4 inches of the base exists 40%.
What is meant by the area of triangle?Area of triangle = 1/2 (b h), where b is the base and h is the height, is the fundamental formula for calculating a triangle's area.
The type of the triangle and the known dimensions can affect other formulas that are used to calculate the area of a triangle.
Given: A triangle has an 8-inch height and a 10-inch base.
Let the equation be
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substitute the values in the above equation, we get
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Once more with a 4 inch base
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= 16 square inches.
Within 4 inches of the base, % of the triangle's surface area
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= 40%
Therefore, the percent of the area of the triangle is within 4 inches of the base exists 40%.
To learn more about area of triangle refer to:
brainly.com/question/17335144
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miles
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Answers
Answer:
A)
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Step-by-step explanation:
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And the distance the bird traveled is:
[tex]d=15x[/tex]
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Answers
A number is :
[tex]m[/tex]
_________________________________
Cube of it equals :
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_________________________________
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[tex]2 {m}^{3} [/tex]
_________________________________
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_________________________________
So the correct answer is A.
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Answer:
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Step-by-step explanation:
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Answers
Answer:
x = 32n + 437............
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1,854
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
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Answers
Answer:
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Step-by-step explanation:
Answer:
7/9 is equivalent to 14/18
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8/10 is equivalent to 4/5
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Answer:
2=24
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Step-by-step explanation:
Answer:
2 is 24 and 12 is 144
Step-by-step explanation:
5x12 is 60, so you know its gonna be x's 12 from then on out
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Answers
Answer:
the slope of the line for y=12x+7 is steeper compared to the other equation
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Step-by-step explanation:
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Ayah akan membuat sebuah kolam ikan hias. Kolam tersebut berbentuk lingkaran dengan panjang diameter 80 cm, luas tanah yang di perlukan untuk membuat kolam adalah??
Answers
Answer:
[tex]A=5024\ cm^2[/tex]
Step-by-step explanation:
Father will make an ornamental fish pond. The pool is circular with a diameter of 80 cm, the area of land needed to make a pool is ??
The diameter of a circular pool, d = 80 cm
It means that,
Radius, r = d/2
r = 40 cm
We need to find the area of the land needed to make a pool. The area of a circular path is given by :
[tex]A=\pi r^2[/tex]
Put the values in the above formula.
[tex]A=3.14\times (40)^2\\\\A=5024\ cm^2[/tex]
So, it will require [tex]5024\ cm^2[/tex] area of land to make a pool.
1/5p=15
Pls solve in steps forgot how to do it lol
Answers
Answer:
(1/5)*p = 15 // - 15
(1/5)*p-15 = 0
1/5*p-15 = 0 // + 15
1/5*p = 15 // : 1/5
p = 15/1/5
p = 75
p = 75
Answer:
p=75 cause that's just it
Find the value of x. Round the length to the nearest tenth.
Answers
Answer:
9.230095943 or 9.2
Step-by-step explanation:
Trigonometry: sine, cosine, tang: Sohcahtoa
O: opposite(side from angle)
H: hypotenuse(side opposite from 90*)
A: Adgacent(side from angle)
Use scientific calculator: tang(40*) x 11 = 9.230095943
