The daily consumption C (in gallons) of diesel fuel on a farm is modeled by C = 30.3 + 21.6 sin(2Ď€t/365 + 10.9) where t is the time (in days), with t = 1 corresponding to January 1. What is the average daily fuel consumption? Which term of the model did you use? Explain.

Answers

Answer 1

The question is an illustration of the sine function.

The average daily fuel consumption is 30.3The vertical shift represents the average daily fuel consumption

The function is given as:

[tex]\mathbf{C = 30.3 + 21.6\sin(\frac{2\pi t}{365} + 10.0)}[/tex]

A sine function is represented as:

[tex]\mathbf{y = a\sin(bx - c) + d}[/tex]

Where d represents the vertical shift.

In this case, d represents the average rate

So, the average daily fuel consumption is 30.3

The term that represents the average daily fuel consumption is the vertical shift of the sine function.

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Related Questions

0


pls help!!
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Answers

First Blank is CD

Second Blank is BC

Third Blank is ABC

Step-by-step explanation:

first blank = CD

second blank = BC

third blank = ∆ABC.

hope this helps you.

Erika created a scatterplot representing the height a plant grew after a certain number of hours of sunlight. The plant height was plotted on the horizontal axis. Which statement best describes how she should draw her line of best fit? A. The line of best fit will be horizontal. B. The line of best fit will be vertical. C. The line of best fit will increase from left to right. D. The line of best fit will decrease from left to right.

Answers

Answer:

B

Step-by-step explanation:

The line of best fit should be vertical. This answer may not be correct.

The correct statement is statement B that is the line of best fit will be vertical.

What is a scatter plot ?

A scatter plot is a graph in which the values of two variables are displayed along two axes, and any correlation is revealed by the pattern of the resulting points.

It is given that , after a particular amount of hours of sunlight, Erika made a scatterplot showing the height that a plant increased to. On the horizontal axis, the plant height was shown.

We know that in a scatter plot , the values of two variables are displayed along two axes. As the plant height was shown on the horizontal axis. The other value which is amount of hours of sunlight will be on the vertical axis.

So , the statement which best describes how Erika should draw her line of best fit i.e., the line of best fit will be vertical.

Therefore , the correct statement is statement B that is the line of best fit will be vertical.

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solving proportions

Answers

Answer:

Out of State = 54

Step-by-step explanation:

Out of State

2/9 = x/243

= 54

Answer:

54

Step-by-step explanation:

7 in-state to 2 out-of-state

The sum of 7 and 2 is 9.

For every 9 students, 2 are out of state.

This is the proportion:

2 out-of-state is to 9 total as x out-of-state is to 243 total

2/9 = x/243

9x = 2 * 243

x = 54

Answer: 54

Lea has 2 cans of oil. if each contains 3.4 liters how many liters of oil does she have in all

Answers

Answer:

the answer is 6.8 litres

Step-by-step explanation:

3.4 × 2 = 6.8

the ratio of 3 numbers is 2:3:4. If the sum of the numbers is 108, find the numbers. NEED ANSWERS ASAP

Answers

Step-by-step explanation:

x + y + z = 108

x/y = 2/3

y/z = 3/4

x = 2y/3

z = 4y/3

we use these 2 as substitute in the first equation

2y/3 + y + 4y/3 = 108

2y + 3y + 4y = 324

9y = 324

y = 36

x = 2y/3 = 2×36/3 = 2×12 = 24

z = 4y/3 = 4×36/3 = 4×12 = 48

Find the area of the figure. (Sides meet at right angles)

Answers

Answer:

45cm^2

Step-by-step explanation:

3x5x2=30

5x3=15

15+30=45

Choose SSS, SAS, or neither to compare
these two triangles.
A
B
SSS
SAS
neither

Answers

Answer:

neither of these options are right I think

The length of a rectangle is four times its width.
If the perimeter of the rectangle is 70 ft, find its length and width.

Answers

Let L represent length of rectangle

Let W represent width of rectangle

L=4W

2L+2W=70

Substitute 4W for L

2(4W)+2W=70

8W+2W=70

10W=70

Divide both sides by 10

W=7

Use equation from beginning

L=4(7)

L=28

Width is 7 ft, length is 28 ft

Check work

2(28)+2(7)=70

56+14=70

70=70


A card is drawn from a 52-card deck, the result is written down, and then the deck is shuffled. A card is drawn. What is the probability that at least one of the two cards was red? Write your answer as a percent

Answers

Answer:

1/2 or 50%

Step-by-step explanation

Answer:

75%

Step-by-step explanation:

To find probability of one being red, do 1 minus probability of being black.

1/2*1/2=1/4

1-1/4=3/4

=75%

one-third of a number is at least 5 units from 31

Answers

Answer:

6

Step-by-step explanation:

5^2+6=31

25+6=31

31=31

proved

One-third of the number is at least 5 units from 31. The number is 78.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that one-third of a number is at least 5 units from 31. The unknown number is x.

( 1 / 3 )x + 5 = 31

x + 15 = 31 x 3

x + 15 = 93

x = 93 - 15

x = 78

Therefore, one-third of the number is at least 5 units from 31. The number is 78.

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Dao has 2 3/8 pounds of hamburger meat. He is making 1/4 -pound hamburgers. Does Dao have enough meat to make 10 hamburgers?

Answers

Answer:

No

Step-by-step explanation:

1/4=2/8 2 3/8 divided by 2/8= 9 1/8 hamburgers

Write the equation of the parabola in vertex form.
vertex (2,4), point (3,-2)
f(x)=

Answers

Answer:

f(x)=2x2−8x+4. Explanation: the equation of a parabola in vertex form is.

The cost of $ 385 in 2004 was 10% more than the cost in2003. Calculate the cost in 2003.

Answers

9514 1404 393

Answer:

  $350

Step-by-step explanation:

Let c represent the cost in 2003. Then we have the cost in 2004 is ...

  c + 0.10·c = 385

  1.1c = 385

  c = 385/1.1 = 350

The cost in 2003 was $350.

Given that3x:8=7:2Calculate the value ofx.Give your answer in its simplest form

Answers

The answer is 28/3, and in simplest form its 9 1/3

Math Is Really Hard Help Pls

Answers

Answer:

-2 and 2/3

Step-by-step explanation:

(2/3) / (-1/4) is equivalent to (2/3) x (-4/1)

This equals -8/3, of which simplifies down to -2 and 2/3

f(t) = -2t + 5
so
) =
= 13
I need help with this

Answers

Answer:

f(- 4) = 13

Step-by-step explanation:

We require to find the value of t which makes f(t) = 13

Equating the right sides gives

- 2t + 5 = 13 ( subtract 5 from both sides )

- 2t = 8 ( divide both sides by - 2 )

t = - 4

Then

(f(- 4) = 13

The inequality _______________ represents the number of boxes of lightbulbs that Cecil started with.

Cecil had _____________ boxes of lightbulbs when he started.

Answers

Answer:

The inequality 14

Cecil had 14 boxes of lightbulbs when he started

I think not 100% sure

Step-by-step explanation:

Hope this helps :)

Solve the inequality 5z+8≥-7

Answers

Answer:

z≥−3

Step-by-step explanation:

1 Subtract 88 from both sides.

5z≥−7−8

2 Simplify  -7-8−7−8  to  -15−15.

5z≥−15

3 Divide both sides by 55.  

z≥− 15/5

 

4 Simplify 15/5 to 3

z≥−3

6
Select the correct answer.
What are closing costs?
ОА. .
various fees paid monthly along with rent
ОВ.
various fees paid every year as part of taxes
Ос.
various fees paid when a home purchase is finalized
Reset
Next
I need help what is the answer?

Answers

Answer:

C. Various fees paid when a home purchase is finalized

If you could do this you’re the best and you’ll also get a lot of points thanks

Answers

Answer:

take the answer on picture which I attached with your question

Hannity needs to run 50 miles a week to practice for her race. If she wants to run the same distance every day of the week, approximately how many miles must she run each day?

Round your answer to the nearest tenth of a mile.

Answers

Answer:

7.14

Step-by-step explanation:

divide 50 by the number of days in a week(7) to find how many miles she must run each day

50/7=7.14

PLEASE PLEASE PLEASE HELP ME ^^
PRETTY PLEEEASE

Answers

Step-by-step explanation:

Think of it this way what if an exponent had 1 so like 10^1

that still equals 10, and does not change anything, so you need to add one more to the exponent as the first number does not change how many types the number is multiplied. Hope this helps

How do i simplify this question?

Answers

16a5 b7
you just needed to multiply the numbers

Suppose that a plumbing repair bill, not including tax,

was $130. This included $25 for parts and an amount

for 2 hours of labor. Find the hourly rate that was

charged for labor.

Answers

answer: $52.50
explanation:130-25=105 105 divided by 2 hours is 52.5

if a quadratic equation with real coefficients has a discriminant of -2, then its roots must be

A:2 real
B:1 real
C: imaginary
D:equal​

Answers

The correct answer is C: imaginary.

When the discriminant is negative, this implies that the quadratic equation has no roots (or zeros) in the set of real numbers. The roots belong to the set of complex numbers, and will be called "complex roots" (or "imaginary roots").

Therefore, the correct answer is C: imaginary.

Please mark my answers as the Brainliest if you find this explanation helpful :)

THE ONES THAT ARE IN GREY ARE THE ANSWER OPTIONS.

Answers

Answer:D

total 450 marks 90 of which are maths

90/450= 0.2

0.2=20%

20% is D

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

90/450=2/10

What percentage of the Cub Scouts are at least as old as a Bear Scout?

Tigers (6 years old): 19%

• Wolves (7 years old): 36%

Bears (8 years old): 17%

Webelos (9 years old): 28%

.

Answers

The percentage of the cub scout which are atleast as old as the near scout refers to percentage of the cub scout which are atleast 8 years old. Hence, the percentage is 28%

The age of Bear scout = 8 years old

Cub scouts which are atleast 8 years old :

Webelos = 9 years old

Percentage of Webelos = 28%

Hence, the percentage of cub scout which are atleast 8 years old is 28%

Therefore, the percentage of the cub scout that are atleast as old as the Bear scout is 28%

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HELPP HURRY PLEASEE!!

Answers

its (a

Answer:

because h is being multipling by πr² and if we swich v for h

h going to be at front and v dividing all the acuation

5=9+w over negative 3

Answers

Answer:

-4

Step-by-step explanation:

PLEASE EXPLAIN YOUR ANSWER!!

Mark decided to open a business selling handmade soap but needed to borrow $1,200.00 for supplies to start. He took at simple interest loan for 1 year at 10 percent. He sold each bar of soap for $4.00. How many bars of soap will he need to sell in 1 year to cover the amount to repay the loan and interest?

A. 120
B. 240
C. 330
D. 480​

Answers

Answer:

Answer: Option 330 bars of soap Step-by-step explanation: If the amount is $ 1,200 and the simple interest for a year is 10% then the amount that Mark must pay is: If each soap bar costs $ 4 then the amount of soap bars you must sell in 1 year is: The answer is the first option  

Step-by-step explanation:

Answer:

330

Step-by-step explanation:

$1,200.00 + 10% = $1,320.00 or $1,200.00 + $120.00 = $1,320.00

$1,320.00 / $4.00 = 330

330 * $4.00 = $1,320.00

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