The average daily maximum temperature for Shane’s hometown can be modeled by the function f(x)=12.2cos(πx6)+54.9, where f(x) is the temperature in °F and x is the month.

x = 0 corresponds to January.

What is the average daily maximum temperature in March?

Round to the nearest tenth of a degree if needed.

Answers

Answer 1

Answer:

The average daily maximum temperature in March is of 61 degrees.

Step-by-step explanation:

The average daily maximum temperature in his hometown in x months after January is given by:

[tex]f(x) = 12.2\cos{(\frac{\pi x}{6})} + 54.9[/tex]

What is the average daily maximum temperature in March?

March is 3 - 1 = 2 months after January, so this is f(2).

[tex]f(2) = 12.2\cos{(\frac{\pi*2}{6})} + 54.9 = 61[/tex]

The average daily maximum temperature in March is of 61 degrees.


Related Questions

maths
[tex] \sqrt[3]{1 + x} + \sqrt[3]{1 - x} = \sqrt[3]{2} [/tex]

Answers

Answer:

X=0,1

Step-by-step explanation:

Remove the radical by raising each side to the index of the radical

help plss i'm lost i need help

Answers

+20 for babysitting
+14 above zero
-100 feet below sea level
-17 u owe ur aunt
-10 candy bars left over
-9 people who didn’t get burgers
-8 years younger
+11 years older

Answer:

2) +20

4) +14

5) -100

6) -17

7) 10

8) -9

9) -8

10) +11

Step-by-step explanation:

look at the words and it will tell you whether it's positive or negative

ex. one hundred feet below sea level- it says below which means you would be going down

In a survey of 292 students, about 9.9% have attended more than one play. Which
is closest to the number of students in the survey who have attended more than one
play?
3 students
10 students
20 students
30 students

Answers

Answer: it's 30 I rook the quiz and got 100

Step-by-step explanat

please help!! Area of Trapezoids and Triangles ​

Answers

Answer: Area of the shape is 168 ft.

Step-by-step explanation: Split the shape into 2 shapes: A rectangle and a triangle.

Area of the rectangle shape is 144 and the area of the triangle is 24. Add them and you get 168.

Carlos bikes 2 1/2 miles in 1/4 hours. At that rate, how many miles would he bike in 1 hour?

Answers

Answer:

10

Step-by-step explanation:

since it’s 1/4 1 out of the four is 2.5 so just multiply by four

BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS

Answers

Answer:

C) angle 7

Step-by-step explanation:

angle 7

in 2007, there were 12 male social workers in springfield. this is 18 fewer than 1/2 the number of female social workers. how many female social workers were in springfield?

Answers

Answer:60 female workers

Step-by-step explanation:12+18=30

30x2=60

2.8332 rounded to the nearest thousand

Answers

That will be 2.8. Hope this helps

Cora uses the following ingredients to make once more.

Answers

Answer:

10 if the other the numbers go up as well

Step-by-step explanation:

20/2= 10

Which would mean Kora could make 10 s'mores

adjacent leg - hypotenuse = 0.139
a. 14°
opposite leg - adjacent leg = 0.249
b. 28°
opposite leg - hypotenuse = 0.469
C. 47°
adjacent leg - hypotenuse = 0.682
d 58°
opposite leg - hypotenuse 0.848
e. 82°

Answers

Answer:

i. 82°

ii. 14°

iii. 28°

iv. 47°

v. 58°

Step-by-step explanation:

The trigonometric functions are given as:

Sin θ = [tex]\frac{opposite}{hypotenus}[/tex]

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Thus,

i. adjacent leg / hypotenuse = 0.139 = Cos θ

θ = [tex]Cos^{-1}[/tex] 0.139

  = 82°

ii. opposite leg / adjacent leg = 0.249 = Tan θ

θ = [tex]Tan^{-1}[/tex] 0.249

  = 14°

iii. opposite leg / hypotenuse = 0.469 = Sin θ

θ  = [tex]Sin^{-1}[/tex] 0.469

   = 28°

iv. adjacent leg / hypotenuse = 0.682 = Cos θ

θ = [tex]Cos^{-1}[/tex] 0.682

   = 47°

v. opposite leg / hypotenuse 0.848 = Sin θ

θ  = [tex]Sin^{-1}[/tex]  0.848

   = 58°

Answer fast thank you

Answers

Answer:

D. 91 1/8

Step-by-step explanation:

The small square box has a width of 1 1/2. Since it’s a SQUARE box all sides are the same sides. to find volume we have to do length * width * height. the bigger square box is three times the small box size. So we would have to do 1 1/2 times three. Which is 4 1/2. Since all sides are the same and we have to do L*W*H, we have to multiply 4 1/2 by 4 1/2 by 4 1/2. Which equals 91 1/8. I find it easier to turn the fractions into decimals, so 1 1/2 is 1.5.

1.5 times 3= 4.5 4.5 times 4.5 times 4.5 = 91.125 convert to a fraction and its 91 1/8

Find the perimeter of the semicircular region

22 mm

Answers

Answer:

The permiter is 22mm since its still  the same

Step-by-step explanation:

Research indicates that many Americans do not save enough for retirement, on average. A group of economists at the Federal Reserve Bank of St. Louis are interested in conducting a study to examine whether Americans between the ages of 55 and 65 have saved too little. The analysts obtain a random sample of Americans in this age group and proceed to test if there is evidence of insufficient savings from these data. The variable considered is the total amount of savings for each individual, reported in thousands of US dollars (i.e. if value 3 appears in the data set, it stands for $3,000.)

Required:
Assume that financial specialists suggest that the minimum level of retirement savings should be 1.5 million US dollars. Use the JMP output to report the value of the test statistic used to gather evidence against the null hypothesis.

Answers

This question is incomplete, the complete question is;

Research indicates that many Americans do not save enough for retirement, on average. A group of economists at the Federal Reserve Bank of St. Louis are interested in conducting a study to examine whether Americans between the ages of 55 and 65 have saved too little. The analysts obtain a random sample of Americans in this age group and proceed to test if there is evidence of insufficient savings from these data. The variable considered is the total amount of savings for each individual, reported in thousands of US dollars (i.e. if value 3 appears in the data set, it stands for $3,000.)

Required:

Assume that financial specialists suggest that the minimum level of retirement savings should be 1.5 million US dollars. Use the JMP output to report the value of the test statistic used to gather evidence against the null hypothesis. Report your answer as a number ( no symbols ) and round up to two decimal places.

Test mean

Hypothesized value : 1500

Actual Estimate        : 1613.07

DF                             : 251

Std Dev                    : 782.626

t Test

prob > |t|  0.0226*

Answer:

the value of the test statistic used to gather evidence against the null hypothesis is 2.29

Step-by-step explanation:

Given the data in the question,

we determine Test statistics of using the formula

t = (x" - μ) / (s/√n)

where;

μ is the theoretical mean ( 1500 )

x" is the observed mean ( 1613.07)

s is the standard deviation ( 782.626 )

n is the sample size ( DF = n - 1, n = DF + 1 , n = 251 + 1 = 252 )

so we substitute

t = (1613.07 - 1500 ) / (782.626 / √252)

t = 113.07 / 49.3008

t = 2.29

Therefore, the value of the test statistic used to gather evidence against the null hypothesis is 2.29

71 is 10% of what number?

52 is 97% of what Number?

Explain steps.

Answers

Answer:

71 is 10% of 710

52 is 97% of 5200/97

Step-by-step explanation:

Let’s start with 71 is 10% of what number.

basically, what this is saying, is that 71 = 10% times and unknown valu. We can set this as x.

so, 71=0.1x

divide on both sides,

710=x

now the second one.

repeat the same process.

52=0.97x

divide

5200/97 =x

shin godzilla vs zilla​

Answers

Answer:

I'd say zilla

Step-by-step explanation:

shin Godzilla would win because here is one scenario Zilla jumps on his back biting him then Shin Godzilla shoots his back beams killing him. plus Zilla shots only fire not any of the radiation things

HELP................!!!!!!!!

Answers

Answer:

a

Step-by-step explanation:

The answer would be A

Out of 469 applicants for a job, 159 have over 10 years of experience and 116 have over 10 years of experience and have a graduate degree. Step 2 of 2 : Consider that 139 of the applicants have graduate degrees. What is the probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree? Enter a fraction or round your answer to 4 decimal places, if necessary. Answer

Answers

Answer:

[tex]\frac{116}{159} = 0.7296[/tex] probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has a graduate degree.

Event B: Has over 10 years of experience.

Out of 469 applicants for a job, 159 have over 10 years of experience and 116 have over 10 years of experience and have a graduate degree.

This means that:

[tex]P(A) = \frac{159}{469}[/tex]

[tex]P(A \cap B) = \frac{116}{469}[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{116}{469}}{\frac{159}{469}} = \frac{116}{159} = 0.7296[/tex]

[tex]\frac{116}{159} = 0.7296[/tex] probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.

Use the following information. (pls hurry)
SPORTS In a football game, each team earns 6 points for each touchdown it scores.
Write an equation to find y, the total number of points for scoring x touchdowns.

Answers

The equation could be y=6x

tiffany spent 2 1/8 hours studying 1 3/8 hours talking on the phone 100 percent of an hour on chores and 1.75 hours walking which of the following lists her activities in order of greatest to least amount of time F. Chores, phone, walk, study G. Chores, study, walk, phone H. Study, phone, walk, chores J. Study, walk, phone, chores

Answers

Answer: J - Study. walk. phone, chores

please help me I dont understand this question ​

Answers

Answer:

sinx=opp/hyp=6/10=0.6

x=sin-(0.6)=37°

D. Write an original equation and solve.
Eight fewer than twice the sum of x and 4 is 10.

Answers

Answer:

2(x+4) - 8 = 10

Step-by-step explanation:

the sum of x and 4: x+4

twice the sum of x and 4: 2(x+4)

eight fewer than twice the sum of x and 4: 2(x+4) - 8

eight fewer than twice the sum of x and 4 is 10: 2(x+4) - 8 = 10

Is 9a^2 +25 the difference of 2 squares?
Yes
No

Answers

[tex]\huge\text{Hey there!}[/tex]

“ [tex]\mathsf{Is\ 9a^2 +25\ the\ difference\ of\ 2\ squares?}[/tex]

[tex]\textsf{Well, when you see or hear the word difference it usually MEANS SUBTRACT}\\\textsf{or SUBTRACTION especially in MATHEMATICS!}[/tex]

[tex]\mathsf{\bold{+}\ usually\ means\ sum\ or\ more\ than}[/tex]

[tex]\textsf{So therefore to \boxed{\textsf{Answer}} to this giving question \boxed{\boxed{\huge \text{\bf No}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day}[/tex]!

~[tex]\frak{Amphitrite1040:)}[/tex]

What would be the final
price of a $59.99 video game
in a state that charges 6.5%
sales tax?​

Answers

Answer:

$63.89

Step-by-step explanation:

just multiply 59.99 by 1.065

5) If the property tax on a $100,000 home is $1500, what is the tax on a
$ 120,000 home?

Answers

Answer:

Calculate property taxes based on assessed value and a tax rate. California property tax calculations with annual assessment increases up to 2% ... Tax Rate: The annual tax rate used to compute your property taxes.

draw the graph of the equation:
x+6y=0

please annotate a graph or say the coordinates (for ex: (0, 6))

Answers

Answer:

Step-by-step explanation:

The cost of 12 oranges and 7 apples is 5.36. Eight oranges and 5 apples cost 3.68. Find the cost of each

Answers

Answer:

Apple costs $0.26

and orange costs $0.32

sorry i don't have time to explain but if u have doubts don't hesitate to ask

Make two equations
O = orange, A = allele
(12O + 7A = 5.36) 2
(8O + 5A = 3.68) 3
Make one of them same coefficient
24O + 14A = 10.72
24O + 15A = 11.04
Subtract both equations
-1A = -0.32
A = 0.32
24O + 14(0.32) = 10.72
24O + 4.48 = 10.72
24O = 6.24, O = 0.26
Solution:
One apple = $0.32
One orange = $0.26

Which of the following will NOT produce a triangle?

a
angle measures of 47°, 58°, 75°

b
angle measures of 61°, 61°, 58°

c
side lengths of 5.5 ft, 11 ft, and 5.5 ft
d
side lengths of 5 in, 7 in, and 8 in

Answers

Answer:

c) side lengths 0f 5.5 ft, 11 ft, and 5.5 ft

Step-by-step explanation:

The two shorter side lengths added together must exceed the longer side length  (and equal to does not work)

Answer:

C) 5.5ft, 11ft, 5.5ft

Step-by-step explanation:

A) 47+58+75 = 180 (Correct)

B) 61+61+58 = 180 (Correct)

C) 5.5+5.5>11 - 11>11  (Incorrect- the two smaller sides must be greater than the largest sides when added together)

D) 5+7>8(Correct)

Question 1
Which inequality is true when y = -2?
A-6y > 12
B -5y < -10
C-4y <-8
D 7y > -14

Answers

Your answer to your question might be D

find the following:1) 30% of 90​

Answers

Answer:

27

Step-by-step explanation:

30/100 ×90 is 27.

it's making me type more but that's the answer :)

Answer:

30%×90

=30/100×90

=27 is the answer of this question

Need help ASAP I will mark Brainlyist

Answers

1. You answered
2. 7
3. 10
4.
5. 48
6. 145
7. 68
8. 148
9. 102
10.
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