The average number of daylight hours, y, in a month for a particular city over the course of a 12-month year can be determined using the equation y = 2.375sin((StartFraction pi Over 6 EndFraction x minus StartFraction pi Over 2 EndFraction))+12.125, where x = 0 represents December, x = 1 represents January, etc.

Answers

Answer 1

Answer: 1,2, 5

Step-by-step explanation:

The Average Number Of Daylight Hours, Y, In A Month For A Particular City Over The Course Of A 12-month

Answer 2

The amount of daylight fluctuates between 4.5 between least to greatest, and the graph required 3 months of horizontal shift compared to the parent function y = sin x, and the greatest number of sunlight can be 14.5 hours, so options A, B, and E are correct.

What is average?

The middle number, which is obtained by dividing the sum of all the numbers by the variety of numbers, is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.

Given:

The average number of daylight hours, y, in a month for a particular city over the course of a 12-month year can be determined using the equation

y = 2.375 sin [(π / 6)x - π / 2]+ 12.125,

Calculate the greatest number of daylight as shown below,

y = 2.375 sin[30 - 90] + 12.125

y = 14.5 hours

Hence, the greatest number of sunlight can be 14.5 hours,

To know more about average:

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Related Questions

To encourage recycling many states require a $.70 deposit or drink containers the total deposit di you pay depends on the number of containers N You by the function D =0.07N could be used to describe the situation if you deposit $1.40 how many containers do you buy?

Answers

Answer:

20 containers

Step-by-step explanation:

Given:

D = 0.07N

Where,

D = Amount of deposits

N = Number of containers

If D = $1.40 find N

D = 0.07N

1.40 = 0.07N

Divide both sides by 0.07

N = 1.40 / 0.07

= 20

N = 20 containers

if you deposit $1.40, you will buy a total of 20 containers.

Which of the following situations have a sum of zero? Select all that apply.

1. Shawna spends $20 on materials to make bracelets for her friends. She then earns $20 from selling the bracelets.

2. A diver dove down 20 1/4 feet under water and then descended 20 1/4 feet.

3. A golfer shot 2 over par (+2) on a hole. They then then shot 2 under par (−2) on the next hole.

4. You have $5.50 in your pocket and then you receive $5.50 for doing your chores.

Answers

I’m pretty sure it’s 1. And 2.

The first and the third.

There are (64)2 ⋅ 60 pigs on a farm. What is the total number of pigs on the farm?

Answers

I’m bot sure if you ask 64^2 x 60 or 64 x 2 x 60. If you ask the first one, the answer is 245760. But if you ask the second one, the answer is 7680.

Answer:

If the question is (64)2 x 60, then the answer is 7,200

Step-by-step explanation:

a population of bears is decreasing the population this year is 200 bears after 1 year it is estimated that the population will be 160 bearsafter 2 years it is estimated that the population will be 128 bears what equation describes the bear population in any year x?

Answers

Answer:

200x-160

Step-by-step explanation:

Please help! I'm in a hurry.

Answers

Answer:

Step-by-step explanation:

15 and 13 have the same angle because they are opposit each other on the intersection of both lines.

bailey ran 0.674 times aound her school track. what percentage of the track did she run around?

f: 0.0674%
G: 6.74%
H:64.4%
j: 674%

Answers

Answer:

0.674 as a percent. 0.674 is equivalent to 67.4%.

Hope this helps!

AT&T charges $350 to get a plan with them, plus $60 per month. T-Mobile charges a $275 initial fee, plus $80 per month. Write an equation or inequality that can be used to determine the number of months it would take for T-Mobile to cost the same or more than AT&T.

Answers

Given :

AT&T charges $350 to get a plan with them, plus $60 per month.

T-Mobile charges a $275 initial fee, plus $80 per month.

To Find :

Write an equation or inequality that can be used to determine the number of months it would take for T-Mobile to cost the same or more than AT&T.

Solution :

Money-time relation of plan AT&T :

[tex]M_1 = 60x + 350[/tex]

Money-time relation of plan T-Mobile :

[tex]M_2 = 80y + 275[/tex]

( Here, x and y are number of months )

Let, after t months would take for T-Mobile to cost the same or more than AT&T.

What are the following properties:
4k−3−2k=2k+5−2k

2k−3=5

2k−3+3=5+3

2k=8

2k2=82

k=4

Answers

Answer:

k4-3+3=10k

Step-by-step explanation:

Answer:

4k-3+3=10k

Step-by-step explanation:

4k-3+3=10k

14.) George is designing a pool that will be 34 feet long. He plans to make
a scale drawing of the pool by letting 1/4 inch represent 1 foot. How long
should the line representing the length of the pool in the diagram be?

Answers

Answer:

I believe the answer is 8.5 inches long

Step-by-step explanation:

we have to find out how long 1/4 × 34 is, since each 1/4 represents one of the 34 feet of the pools length.

34×.25 = 8.5

A line passes through the point (-2, 7) and has a slope of -5.
What is the value of a if the point (a,2) is also on the line?

Answers

Answer:

-1

So the answer would be (-1, 2)

Hopefully, this is correct, sorry if not.

Two negative consecutive integers have a sum of -39. What are the
integers?

Answers

Answer:

I think the integers are -19 and -20.

Step-by-step explanation:

Hope this helps!

Can someone please help

Answers

Answer:

( -1 , 0.5)

Step-by-step explanation:

Pls help me!!!!!!!!!!!

Answers

Answer:

1) y-4+1(x-5)

Step-by-step explanation:

With point-slope form, you just have to substitue the information that is given to you into the generic formula.

y-y1= m(x-x1)

so the y1 is the y value of the point that is given to you and x1 is the x value of the point that is given to you

m is the slope (also given)

and x and y just stay the same; x &y

Four years ago the average age of A,B and C was 25 years. Five years ago the average age of B and C was 20 years. A's present age is

Answers

Given:

Four years ago average age of A , B & C was 25 years.

Find:

A's present age

Solution:

Let the ages of A , B , C be A , B , C years.

Age of A before 4 years = (A - 4) years. Age of B before 4 years = (B - 4) years. Age of C before 4 years = (C - 4) years.

We know that,

Average = Sum of observations/Number of observations.

Here,

Sum of observations = A - 4 + B - 4 + C - 4 = (A + B + C - 12) years.

Number of observations = 3.

So, (A + B + C - 12)/3 = 25

⟹ A + B + C - 12 = 3 * 25

⟹ A + B + C = 75 + 12

⟹ A + B + C = 87 -- equation (1)

Also given that,

Average age of B & C before 5 years was 20 years.

⟹ (B - 5 + C - 5)/2 = 20

⟹ B + C - 10 = 2 * 20

⟹ B + C = 40 + 10

⟹ B + C = 50 -- equation (2)

Subtract equation (2) from equation (1).

⟹ A + B + C - (B + C) = 87 - 50

⟹ A + B + C - B - C = 37

⟹ A = 37 years

∴ A's present age is 37 years.

I hope it will help you.

Regards.

Answer:

→ md - 2nd + 3md = 2 * [ a + (n - 1)d ]

→ 4md - 2nd = 2 * [ a + (n - 1)d ]

→ 2(2md - nd) = 2 * (a + nd - d)

→ 2md - nd - a + d = nd

→ 2md - nd - (md - 2nd) + d = nd

[ From equation (1) ]

→ 2md - nd - md + 2nd + d = nd

→ md + nd + d = nd

→ (m + n + 1)d = n * d

→ (m + n + 1) = n

Answer:

y = 1/2x + 4

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

Point-slope form; y - 2 = 1/2(x + 4)

Step 2: Rewrite

Distribute 1/2 to both sides: y - 2 = 1/2x + 2Add 2 to both sides: y = 1/2x + 4

Answer:

y=1/2x+4

Step-by-step explanation:

y-2=1/2(x+4)

(distribute the 1/2)

y-2=1/2x+2

(add 2 to both sides)

y=1/2x+4

Urvi solved a fraction division problem using the rule "multiply by the reciprocal." Her work is shown below. StartFraction 14 divided by StartFraction 2 Over 7 EndFraction. StartFraction 1 Over 14 EndFraction times StartFraction 2 Over 7 EndFraction = StartFraction 2 Over 98 EndFraction or StartFraction 1 Over 49 EndFraction Which is the most accurate description of Urvi's work? Urvi solved the problem correctly. Urvi multiplied the dividend by the divisor instead of finding the reciprocal. Urvi multiplied the denominators instead of finding a common denominator. Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Answers

Given:

The equation is

[tex]\dfrac{14}{\dfrac{2}{7}}[/tex]

To find:

The correct description of Urvi's work.

Solution:

We have,

[tex]\dfrac{14}{\dfrac{2}{7}}[/tex]

Using the rule "multiply by the reciprocal", we get

[tex]\dfrac{14}{\dfrac{2}{7}}=14\times \dfrac{7}{2}[/tex]

[tex]\dfrac{14}{\dfrac{2}{7}}=\dfrac{98}{2}[/tex]

[tex]\dfrac{14}{\dfrac{2}{7}}=49[/tex]

Urvi multiplied with the reciprocal of the dividend instead of the reciprocal of the divisor.

Therefore, the correct option is D.

Answer:

Step-by-step explanation:

Find the square root.

±√1.69 = ____ and ____

Answers

Answer:

±√1.69 = +1.3 and -1.3

Step-by-step explanation:

√169 = 13

square root and two digits after dot means the result need to has one digit after dot (number of digits after dot divided by 2 because of square root)

so √1.69 = 1.3

Solve the following equations
X + 6 = 25

Answers

Answer:

x=19

Step-by-step explanation:

x=25-6

x=19

Answer:

x=19

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

x+6−6=25−6

x=19

8c + 20 = -180

c =

can some one help me please

Answers

Answer:

c = -25

Step-by-step explanation:

8c + 120 = -180

Subtract 20 from both sides.

8c = -200

Divide both sides by 8.

c = -25

Answer:

C = -25

Step-by-step explanation:

Start by getting C alone, subtract 20 from the left side of the equal sign and subtract 20 from the right. (what you do on one side you MUST do to the other) this gives you 8c= -200. Divide 8 from 8c on the right side and divide 8 from -200 on the left side. This will give you c= -25

plz help i dont know the answer

Answers

Answer:

Im not 100 percent sure but I think you have to do this

Step-by-step explanation:

Add all numbers together to find total students

Then add the students in Chemistry and Physics and both together

Then find what that number is in percent to the total students

how do you solve X+17=-12

Answers

Answer:

Subtract 17 from -12, you sould get x= -29

Step-by-step explanation:

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