OK this is hard math
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)?
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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A mall is designing an outdoor space. The available space is 127 feet by 46 feet. The
plan is for a grassy section with a width of 40 feet. Next to the grass will be a cement
sidewalk with a width of 6 feet. What is the area of the available space in square feet?
Answer:
5882
Step-by-step explanation:
Answer:
5842
Step-by-step explanation:
The grass and sidewalk is extraneous information (not needed) since it only asks for the available space total. so 127 x 46
PLEASE HELP Identify and solve the inequality that
represents how many $20 bills, n , you can withdraw from the account without
going below the minimum balance. Current amount $320.00 minimum $100.00
you can withdraw 11 times before it reaches the minimum of $100
HELP!!! ITS DUE TODAY
Answer:
Well one thing that created a demand was the fact that more and more people were getting farms and also slaves were dying. It was mainly the colonization of the new world
Step-by-step explanation:
The history is the Portugese came to africa and started kidnapping them and taking them to portugal. they were looked at as a novelty so more and more people started to get them and also bring them to america with them
Find the factored form of the expression. Check your answer.
5x2 +5
5x² +5= 1 (Type an exact answer, using radicals and i as needed.)
Answer:
5² × 5
5²: 10
karena ada pangkat 2
jadi kita kalikan dengan jumlah yang
dihitung yang sesuai dengan pangkat nya
Contoh:
5×10+5 =
55
Step-by-step explanation:
( Type an exact answer,using radicals and i as
needed) .
Find the real-number root -81
A sweater that originally cost $40 is on sale for 10 percent off. What is the amount of the discount?
Answer:
$36
Step-by-step explanation:
orig price = $40
discount=10%
40*10/100= 400/100 = 4
$40-4= $36
Answer:
$4
Step-by-step explanation:
x percent = x/100
10 percent = 10/100 = 0.10
10% of $40 = 0.10*40 = 4
You save $4
The old price is $40 and changes to $36 after the discount is applied. This is ignoring any taxes or other surcharges
Anyways I'm going a bit off tangent. The final answer is choice B) $4
Retha is building a rock display for her science project. She put 72 rocks in the first row, 63 rocks in the second row, and 54 rocks in the third
row.
If the pattern continues, how many rocks will she use in the sixth row?
OA. 54
OB. 45
O c. 36
O D. 27
O E. 18
Answer:
b
Step-by-step explanation:
What are the values of x, y and z in the diagram below? x 107° N z w
Answer:
73,107,73
Step-by-step explanation:
x=73 ,y=107 ,z=73
What is this expression in simplified form?
3V3 • 6V6
Answer:
18V^9
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
please help look at the attachment
Answer:
i think the answer is that y is 7 and x is 9
Step-by-step explanation: sorry if this is wrong it probley is
Write the exponent for the expression.
3x3
Answer:
First, rewrite the expression as:
3
x
3
×
1
8
Next, use this rule of exponents to rewrite the expression again as:
x
a
×
b
=
(
x
a
)
b
3
x
3
×
1
8
⇒
3
(
x
3
)
1
8
Now, use this rule of exponents to write the expression as a radical:
x
1
n
=
n
√
x
3
(
x
3
)
1
8
=
3
8
√
x
3
Step-by-step explanation:
Step-by-step explanation:
it is 3 to the power of 3 or 3 with a tiny three next to it. The answer to 3 to the power of three is 27. 3x3=9 9x3=27
Please Help Me! "Given ABC ~ ADE with AB = 2 Centimeters, and DE= 10 Centimeters" Whats the length of BC?
A. 6 2/3 centimeters
B. 5 Centimeters
C. 4 Centimeters
D. 6 Centimeters
Question 5
Given the sequence, 35, 32, 29, 26, 23, ...
Find the following:
a1 =
Answer:
a1 = 2
Step-by-step explanation:
what does a1 mean?
35, 32 29, 26, 23, 20 , 17, 14, 11, 8, 5, (2)
Pleaseeeee helppppppp
Answer:
1.) y=3x
2.) y= -2/3 x + 1
3.)y = -2/3 x - 4
4.) y = 4
5.) y = x + 5
6.) y = 2x
whats 8/10 = ?/20
I REALLYYYYYYYYYY NEED HELP WITH THIS!!!!!!!!!!!!!!!!!!
Answer:
16
Step-by-step explanation:
Answer:
16/20
Step-by-step explanation:
8x2=16 and the remainder is 20 so that makes 16/20
Drag each tile to the correct location on the table. Each tile can be used more than once, but not all tiles will be used.
Choose the justification for each step in the solution to the given equation.
multiplication property of equality
subtraction property of equality
division property of equality
addition property of equality
simplification
Multiple tiles can be used.
From up to down in justification :
1) Subtraction property of equality
2) Simplification
3) Subtraction property of equality
4) Simplification
5) Division property of equality (( I'm not sure))
6) Simplification
Answer:
Subtract
simp
subtract
simp
multiply
simp
Step-by-step explanation:
Divide.
8.64÷(−0.27)
Enter your answer in the box.
The answer is -2.3328
8 1/2% as a fraction
Answer:
it will be 8 1/2
Step-by-step explanation:
Answer:
17/200
Step-by-step explanation:
8.5%=8.5/100 =0.085=0.085/1×1000/1000=85/1000=17/200
hope i'm correct also pls try to answer my question thx
What is the value of n in the equation in = 9?
n =
Answer:
n=0
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Which statements about experimental probability are true? Select three options.
A: Experimental probability has the total number of trials in the numerator and the number of times an event occurs in the denominator.
B: Experimental probability is the same as theoretical probability.
C: An experiment to determine probability will include a number of trials.
D: A probability experiment will count the number of times an event occurs.
E: Experimental probability can be written in the form of a ratio.
Answer:
I don't know this exactly, but I'll give it my best go!
We can get the answer by answering questions we know are true and eliminating the ones we don't.
E: Experimental probability can be written in the form of a ratio.
- Any probability can be expressed by a ratio so this is true.
B: Experimental probability is the same as theoretical probability.
- They are two different 'types' of probability so this is most likely false.
A: Experimental probability has the total number of trials in the numerator and the number of times an event occurs in the denominator.
- I'm fairly certain that applies to theoretical probability, not experimental.
So that means the answers are most likely C, D, and E. If I was wrong let me know!
y = 15 when x = 60, find y when x = 45
Answer:
y=0
Step-by-step explanation:
Answer: y = 30
hope it helps!
1 When the product of 4 and a number x is added to 12, the result is 16. What is the difference between x and 8?
Answer:
x = 1
Step-by-step explanation:
12 + 4 x = 16
Subtract 12 from both sides.
4x = 4
Divide 4 on both sides.
x = 1
f(x)= -x + 6x² - 10x +4
Iliana’s math grade increased from 65 to 86. Fiona’s math grade increased from 70 to 80. What is the difference, rounded to the nearest whole number, between the approximate percent increases?
10 percent
15 percent
18 percent
21 percent
Answer:
C
Step-by-step explanation:
Answer:
it is C
Step-by-step explanation:
i did the test
Given the following expression. 2 1/4 - (-3 2/5) A. Rewrite the expression using addition. B. Evaluate the expression.
Answer:
[tex]2\frac{1}{4} + 3 \frac{2}{5}[/tex]
Step-by-step explanation:
[tex]2\frac{1}{4} - (-3 \frac{2}{5}[/tex][tex])[/tex]
However, - × - equals +
[tex]2\frac{1}{4} + 3 \frac{2}{5}[/tex]
Ernie earned $121.50 more than Kaylin. Tria earned $35 less than 3 times the amount Kaylin earned. Ernie, Tria, and Kaylin earned $579 in all. How much did Tria earn?
$98.50
$220.00
$260.50
$330.50
x - Ernie, y - Kaylin, z - Tria
x = y + 121.50
z = 3y - 35
x + y + z = 579
-------------------------
z = 3 y - 35 => - 3 y + z = -35
y + 121.50 + y + z = 579
---------------------------------
- 3 y + z = - 35 / · ( -1 )
2 y + z = 457.50 (we will use the elimination method)
---------------------------------
3 y - z = 35
2 y + z = 457.50
----------------------
5 y = 492.5, y = 492.5 : 5 = 98.5
z = 3 · 98.5 - 35
z = 260.5
Tria earned $260.5
20 POINTS FOR YOU!!
PLEASE HELP ME
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
Help please!! Due today I'll give brainliest and a 5 star rating to everyone ILL DO ANYTHING JUST HELPADWIEFHRJ
Answer:
i think the answer would be B i think if its wrong i am sorry
Step-by-step explanation:
42 is 84% of what number
Answer:
50
Step-by-step explanation:
Because 84% out of 50 is 42