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.

Read more about sine functions at:

https://brainly.com/question/12015707


Related Questions

Two sides of a right triangle have lengths of 72 cm and 97 cm. The third side is not the hypotenuse. How
long is the third side?
45 cm
A
B
121 cm
65 cm
25cm ???

Answers

the third side is 25cm

The graphs shows the favorite colors chosen by some middle school students Favorite Colors Red Yellow Orange Blue Color Green Black Pink Purple 8 9 10 Number Which statement is supported by the information in the graph? Fewer than 30% of the students chose red yellow, or orange as their favorite color More than of the students chose pink as their favorite color. • Exactly 18% of the students chose blue as their favorite color. Exactly of the students chose green black or purple as their favorite color.

explain you answer choice​

Answers

Answer:B

Step-by-step explanation:

Its b,i swear on my doggie

ABC is isosceles.
m < a = 3x + 40 and m < c = x + 50
what is m < a ??​

Answers

Answer:

55°

Step-by-step explanation:

It is assumed the angles A and C are congruent:

3x + 40 = x + 503x - x = 50 - 402x = 10x = 5

m∠A = 3*5 + 40 = 55°

Answer:

solution given:

m<a=m<c

3x+40=x+50

3x-x=50-40

x=10/2=5

now

<a=3×5+40=55°

m<a=55° is your answer

Which expression represents the following statement? Subtract 5 from 7 times the sum of 4 and 2.

7 x (4 ÷ 2) + 5
7 + 4 + (2 ÷ 5)
7 ÷ 4 − (2 + 5)
7 x (4 + 2) − 5

Answers

It’s 7 x (4 + 2) - 5

(HELP I BEG ILL GIVE BRAINLY IF U WANT, ITS MULTIPLE CHOICE)

Answers

Answer:

I got 4 for both of them hope this helps

A triangle on a coordinate plane is translated according to the rule T8, 4(x, y). Which is another way to write this rule?
(x, y) - (x + 4y - 8)
O (x, y) - (x-4, 7-8)
O (x, y) — (X-8, y + 4)
O(x, y) - (x + 8, y–4)​

Answers

Answer:

C) (x,y)->(x-8,y+4)

Step-by-step explanation:

Just did it on edge 2021

The translation rule will be (x+8 , y+4).

What is Transformation?

A transformation is a broad phrase covering four distinct methods of changing the shape and/or position of a point, line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

When we scale a triangle by some factor, neither its shape nor size change. The image corresponds to the previous image.

The horizontal translation of x coordinate is either horizontally right or horizontally left depending on the positive or negative value of x - coordinate.

Depending on the positive or negative value of the y - coordinate, the y coordinate is translated vertically up or down.

Here (8 ,4) shows there is shifting Horizontally right (x+ 8) and there is shifting Vertically up (y + 4).

Learn more about Transformation here:

https://brainly.in/question/6446519

#SPJ7

help me plssssssssssssss

Answers

Answer:

Step-by-step explanation:

Do you need help with all of the questions? Sorry I thought this was the comment box.

Is the following relation a function? Please help

Answers

No because if you do the vertical line test, it will go through two parts of the circle instead of one.

Answer:

No it is not a function.

Step-by-step explanation:

It goes through 2 points not 1.

find the area of each shaded sector. Round to the nearest hundredths place. Use 3.14 for pi​

Answers

Answer:

8.48cm²

Step-by-step explanation:

area of a sector = [tex]\frac{0\pi r^2\\\\}{360}[/tex]

where 0 = angle measure of sector

and r = radius

we are given the angle measure ( 23° ) and the radius ( 6.5 cm )

so all we have to do is plug in the values into the formula

(Note that the question asks us to use 3.14 for pi)

[tex]A=\frac{23*3.14* 6.5^2\\\\}{360}\\6.5^2 = 45.25\\23*3.14 =72.22\\72.22*45.25 = 3051.295\\\frac{3051.295}{360} =8.47581944[/tex]

so the area of the sector = 8.47581944 cm^2

finally we want to round to the nearest hundredth and we get that the answer is 8.48cm²

Salma made 378 for 18 hours of work. At the same rate, how much would she make for 5 hours of work?

Please help me answer this question!

Answers

She would make $105 all you do is divide 378 by 18 and then multiply that answer by 5 good luck!

A spinner has 20 equal-sized sections. Two of the sections are blue. a. What is the probability that the spinner will land on blue? b. Use words to describe the probability.

Answers

Answer:

a. 2/20 or 10%

b. Theoretically 2 out of every 20 times the spinner is spun, it will be blue.

Step-by-step explanation:

Find the length of the bold arc.Leave pi in your
answer.

Answers

Answer:

5688 pi ft

Step-by-step explanation:

lol

Please help me out with this I don’t understand it

Answers

Answer:

x = 7.55

Step-by-step explanation:

a = x

b = 8

c = 11

a² + b² = c²

x² + 8² = 11²

x² + 64 = 121

x² = 121 - 64

x² = 57

[tex]\sqrt{x^2} =\sqrt{57}[/tex]

x = 7.5498

Rounded to hundredths:

7.55

A study reports that about half of pet owners have either a dog or a cat. The other half of pet owners have birds,
reptiles, or other animals. To find out if this applies in its area, an animal shelter surveys a random sample of 30 pet
owners. Nineteen of them say they own either a cat or a dog.
Let even digits represent owning a cat or a dog and odd digits represent owning some other type of animal.
08979
61956
77989
04853
28580
80896
Using the line of random numbers, what is the best estimate of the proportion of responses in a sample who own either
a cat or a dog?
0.47
0 0.50
0.53
0.63

Answers

Answer:

0.53< I just did the quiz.

Step-by-step explanation:

Find the perimeter of a triangle with the given vertices
A: (-3,0) B: (0,4) C:(3,0)

Answers

Answer:

To find the perimeter of the triangle, find the lengths of each side of the triangle using the distance formula. Use the distance formula to find the length between point A and B, B and C, C and A. Then add all three lengths together to get the perimeter.

Step-by-step explanation:

6 and if not 6 10

Rebecca needs a box with a rectangular base of 36 cm2 and a volume of 180 cm3. What would be the height of this box? O A. 45 cm B. 30 cm C. 20 cm D. 15 cm E. 5 cm​

Answers

Answer:

Volume of box V = 180 cm^3

Base area of box A = 36 cm^2

Height = h

Volume = base area × height

height = volume/base area

h = V/A

Substituting the values;

h = (180cm^3)/(36cm^2)

Height h = 5 cm

Step-by-step explanation:

help me please !!!!! no fakes or get reported!

Answers

Answer:

1. 7 = 35

The tomato plant will be 35 cm tall after 7 weeks.

2. I don't this is a realistic demonstration of a tomato plant growth, because it is in a table

3. We could use variable h to represent the height of a tomato plant, and I chose this variable because height starts with the letter h.

4. We could use variable w to represent the number of weeks the plant has grown, and I chose this variable because weeks starts with the letter w.

5. 5w = h

6. 5*20 = 100

The tomato plant will be 100 cm tall after 20 weeks.

Step-by-step explanation:

Have a nice day!

and can I maybe have brainliest?

based on the table, what is the slope,m, and y-intercept , b , on the line that models this relationship?

Answers

Answer: slope: 180  y intercept: -360

I hope this helps!

Help me, please. Don't just claim my points, it's irritating

Answers

Answer:

8.239x10^-5

so the answer is A

Step-by-step explanation:

trust me

ps. use photomath on phone

Write both number with the same power of 10, factor out that power of 10 (since it's common to both terms), then simplify to standard scientific notation (that is, a.bcd... × 10⁻ⁿ):

(8.28 × 10⁻⁵) - (4.1 × 10⁻⁷) = (828 × 10⁻⁷) - (4.1 × 10⁻⁷)

… = (828 - 4.1) × 10⁻⁷

… = 823.9 × 10⁻⁷

… = 8.239 × 10⁻⁵

pls help help help help help help ​

Answers

Answer:

-89

Step-by-step explanation:

-89

-89= 10(-7) - 19   ----------->  -70 - 19

Which data set has a variation, or mean absolute deviation, similar to the data set in the given dot plot

Answers

Answer:

The anwser is C

Step-by-step explanation:

i did the test

The dimensions of the rectangular prism shown are given in centimeters. 4cm, 3cm ,1.4cm What is the volume of the rectangular prism in cubic centimeters?

Answers

Answer

V = 16.8

Step-by-step explanation:

Answer: V- 16.8  

Explanation: From K12

I HATE IT

PLEASE HELP!! ILL MARK BRAINLYEST!!


Which graph is best to show categorical data?

A. box-and-whisker plot
B. line graph
C. scatter plot
D. circle graph

Answers

Answer:

A

Step-by-step explanation:

Find the base of the rectangle with an area (14x2 + 35x) and height of (7x)

Answers

The the sun is one hundred and fifty million kilometers away from the earth write this as an ordinary whole number

Justin drinks 1 litter of water.He drank 2,000 litters at his game.How many during his game and his practice?Explain.

Answers

The question is incomplete. The complete question is :

Justin drinks 1 litter of water during the soccer practice. He drank 2,000 milliliters of water at his game. How many liters of water did he drink during his game and his practice? Explain.

Solution :

It is given that :

During practice, Justine drank = 1 liter of water

During game, Justine drank = 2000 milliliters of water

We know that,

1 liter = 1000 mL

Therefore, during the game, Justine drank :

1000 mL = 1 liter

∴ 2000 mL = 2 liter

So Justine drank 2 liters of water during his soccer game and 1 liter of water during his practice.

which of the following phrases are equations
A 5=3m
B n>|-8|
c 2+6=(5-1)•2
D 8•(k+6
E 0<4+p

Answers

Answer:

all but D because it doesn't have an equals or inequality sign

Step-by-step explanation:

denise is buying 1 pair of jeans for 24.98 and a pair of boots for 52.98. she has a 20% coupon that she can use on one item. If she uses the coupon on the most expensive item, which of the following is a reasonable estimate for the price of two items, not including tax?

Answers

Answer:

$67.38

lmk if you need to see the work

You are only typing what the value of X should be?

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of ratios.

Since the above ratios are equal to each other, we get value of x as,

==> 3/12 = 5/x

==> x = 12*5 / 3

==> x = 60/3

==> x = 20

hence the value of x = 20.

Dawn made a rectangular prism with a bottom layer that is 3. Units long and 2 units wide. There. Are 7 layers. In all. How. Many cubic. Units did dawn use?

Answers

Answer: 42

Step-by-step explanation:

5. Amaris buys a car for $12,000. Each year it decreases in
value by 5%. Write an equation to represent the value of the
car after t years.

Answers

Answer:

12,000-(0.05x)=t

Step-by-step explanation:

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