A bakery sells 5394 donuts in 2010. The bakery sells 10,874 donuts in 2015. Write a linear model that represents the number y of donuts that the bakery sells x years after 2010.

Answers

Answer 1

Answer:

y = 1096x + 5394

Step-by-step explanation:

Given that

The bakery sells 5394 donuts in 2010

And, the bakery sells 10,874 donuts in 2015

We need to write the linear model

So here

we assume that the x be the no of years after 2010

And, y be the no of donuts

Now

x_1 = 0, y_1 = 5394

x_2 = 5, y_2 = 10874

Now the slope is

m = (y_2 - y_1) ÷ (x_2 - x_1)

= (10874 - 5394) ÷ (5 - 0)

= 1,096

Now

y - y_1 = m(x - x_1)

y - 5394 = 1096(x - 0)

y - 5394 = 1096x - 0

y = 1096x + 5394


Related Questions

whats a mode in a data set

Answers

Answer:

The data value that appears the most.

Step-by-step explanation:

In the data set 1,1,1,2,2,3,4,4 one would be the mode, as it is the number that appears the most.

When Mrs. Weeks bought all of the baseballs and softballs, she paid
for them using four $100.00 bills. How much change did she receive?

2. Write expressions that include parentheses and order of operations to
show how to find the answer. Show your work.

3. After school began, Mrs. Weeks realized that she needed more
basketballs and footballs. If she spent $135.00 on basketballs and
$48.00 on footballs, how many more balls did she purchase?

4. Write expressions the include parentheses and order of operations to
show how to find the answer. Show your work.

Part 3
Directions: Use pictures and equations to show your work.
At the end of the year, Mrs. Weeks bought an assortment of new balls to
replace some of the old ones. She had $150.00 to spend. Describe two
different ways that Mrs. Weeks could spend her money if she bought at least
two of each of the balls.
Use coins or cut out the manipulatives on the next page to help you act out
the problem. I need help on this one the most please answer

Answers

Answer:

eeeee

Step-by-step explanation:

88.128 x 0.5 Multiplication question

Answers

Answer: 44.064

Step-by-step explanation:

Answer:

44.064

thats the answer

Find value of x
A. 15
B. 18
C. 16
D. 19

Answers

Answer:

x = 19

Step-by-step explanation:

By the Supplementary Angle Theorem we can say that;

123 + 3x = 180

3x = 57

x = 19

Hope this helps!

Gary is cleaning windows. He sets his ladder 25 feet away from the wall of the house to reach the windows on the second story, which are at a height of 20 feet above the ground. He moves his ladder 15 feet closer to the wall to reach the windows on the third story of the house.

Approximately how high above the ground are the windows on the third story of the house?

A.33.5ft
B.28.3ft
C.30.4ft
D.32.0ft

Answers

i could be wrong but 30.4ft

The 28.3 feet high above the ground are the windows on the third story of the house.

It is required to find the height.

What is the Pythagorean Triple?

The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:

c² = a² + b².

Given that:

Distance between ladder and wall=25 feet

Height of window=20 feet

Closer distance between ladder and wall=15 feet

We know the Pythagoras theorem , we get

[tex]a^{2} +b^{2} =c^{2}[/tex]

we have

a=15 feet

b=?

c=25 feet

So,

[tex]a^{2} +b^{2} =c^{2}\\\\15^{2} +b^{2} =25^{2}\\\\225+b^{2} =625\\\\b^{2}=625-225\\\\b^{2}=400\\\\b=20 feet[/tex]≈28.3 feet

Therefore, the 28.3 feet high above the ground are the windows on the third story of the house.

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Which point is a solution to the system of inequalities?

StartLayout Enlarged left-brace first row y greater-than-or-equal-to one-half x squared + 4 second row y less-than StartRoot x + 2 EndRoot + 6 EndLayout

(–2, 6)
(1, 9)
(2, 8)
(0, 4)

Answers

D) (0,4)

Correct on Edge 2021

The correct option is 4. (0,4)

Given inequalities are [tex]y\geq \frac{1}{2} x^{2} +4[/tex] and [tex]y< \sqrt{x+2}+6[/tex] .

Taking first inequality,

[tex]y\geq \frac{1}{2} x^{2} +4[/tex]

Or, [tex]y=\frac{1}{2} x^{2} +4[/tex]

now checking which option satisfy the above equation.

Taking option 1.(–2, 6)

on putting x= - 2 and y=6, we get

[tex]6= \frac{1}{2} (-2)^2+4[/tex]

[tex]6=6[/tex]

Hence option 1 (–2, 6) satisfy the equation.

Similarly checking for option 2 and 3 we find that these options totally not follow inequality, so option 3 and option 2 must not be the solution of given inequality.

Now option 4 (0, 4).

Putting x=0 and y = 4, we get

[tex]4=0+4\\4=4[/tex]

Hence option 4 also satisfy the first inequality.

Now we have two option to choose our final answer option 1 and option 4.

since option 4 lies in the shaded region so option 4 will be correct option.

Hence the correct option is 4. (0,4)

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find the value of x in each case. will be posting more questions soon.

Answers

Go to photo math or cy math it will tell you the answer straight up

If bob has 10 apples and joe takes 2 how many apples does bob have ?

Answers

10-2=8

So,Bob has 8 apples left

Answer:

8 apples

Step-by-step explanation:

10-2=8 apples

How many apples does Bob have ? Bob is left with 8 apples now.

2x^2 + 15x + 7 = 0

Step by step please!

Answers

Answer: How do you want this problem to be solved like by factoring? lmk

Step-by-step explanation:

Step-by-step explanation:

Let's solve your equation step-by-step.

2x2+15x+7=0

Step 1: Factor left side of equation.

(2x+1)(x+7)=0

Step 2: Set factors equal to 0.

2x+1=0 or x+7=0

x=−12 or x=−7

Answer:

x=−12 or x=−7

Consider the three points (-7, -7), (21, 14), (49, 35). Part A: Which of the following points are on the same line that passes through the (-7, -7), (21, 14), (49, 35)? Select all that apply. A. (5, 9) B. (5, 2) C. (17, 11) D. (4, 3) E.) (33, 23) Part B: Show or explain how you determined which points were on the line and which were not on the line.

Answers

Answer:

A. (5, 9)

Step-by-step explanation:

Three people are sitting on a bus. Porter is seated 8 feet directly behind Ellen and 3 feet
directly left of Alice. How far is Ellen from Alice? If necessary, round to the nearest tenth.

Answers

Answer:

Ellen is 8 Ft. and 5 In. away from Alice .

Step-by-step explanation:

By connecting the people like dots , you'd create a right triangle . The distance between Ellen and Alice would be the slant height .

To find the slant height , you could use the formula stated below .

Formula: A^2 + B^2 = C^2 .

A and B represent the distance between Porter between Ellen , as well as the distance between Porter and Alice . C represents the slant height , or how far Ellen is from Alice .

Substitute the variables with the given information and solve .

Substitution: 8^2 + 3^2 = 73 .

Simplify the final value by finding the square root of it .

√73 = 8.54400374532

As stated in the question , you should round the final value to the nearest tenth if necessary .

8.54400374532 ( Rounded ( Tenth ) = 8.5 Ft.

The rounded value would be 8.5 feet .

After the last ice age began, the number of animal species in Australia changed rapidly.

The relationship between the elapsed time, t, in years, since the ice age began, and the total number of animal species, S(t), is modeled by the following function:
S(t)=4,200,000⋅(0.72)t

Complete the following sentence about the yearly percent change of the number of animal species.

Every year, _______ percent of species are SUBTRACTED/ADDED from the total number of animal species.

Answers

Answer:

Every year 28 percent of species are SUBTRACTED from the total number of animal species.

Step-by-step explanation:

Exponential growth or decay:

The equation for exponential growth or decay has the following format:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the initial amount and r is the growth/decay rate, as a decimal.

If r > 0, each year r percent is added to the total number, and if r < 0, each year, r percent is decreased from the total number.

In this question:

[tex]S(t) = 4200000(0.72)^t[/tex]

So

[tex]1 - r = 0.72[/tex]

[tex]r = 0.72 - 1 = -0.28[/tex]

Thus

Every year 28 percent of species are SUBTRACTED from the total number of animal species.

In the Formula SA=1/2PL+B
What does "L" Mean.
A. the height of the prism
B. the slanted height of the prism
C. the slanted height of the pyramid
D. the height of the pyramid
Please help

Answers

Answer:

L = the slanted height of the pyramid

Step-by-step explanation:

The surface area of a pyramid is given by :

[tex]SA=\dfrac{1}{2}PL+B[/tex]

Where

P is perimeter of base of pyramid

L is the slant height of the pyramid

B is the area of base.

So, the correct option is (c) "the slanted height of the pyramid".

Plzzzzz helpppp, Find the value of x

Answers

Answer:

51

Step-by-step explanation:

Which shows the best path to find the number of centimeters in 1 yard?
yards -> inches -> centimeters
yards -> feet -> centimeters
centimeters -> feet -> inches
centimeters -> feet -> yards

Answers

Answer:

yards feet centimeters

The Scenario: Your manager has asked you to help plan your company's participation at a local trade show. You have $3000 to spend on the booth space and product brochures. Use what you know about solving inequalities to prepare a proposal that meets the budget.

Answers

Answer:

[tex]x + y\le 3000[/tex]

Step-by-step explanation:

Given

[tex]x \to booth[/tex]

[tex]y \to brochures[/tex]

[tex]Total = 3000[/tex]

Required

The inequality for this scenario

The total spending will not exceed the amount they have to spend; So, the inequality is:

[tex]x + y\le 3000[/tex]

1/4 carton of ice cream divided wvenly by 3

Answers

Answer:

Hello There!!

Step-by-step explanation:

You multiply the reciprocal which is 4 by 3 and that is 12.

Another method: 1/4 ÷3 (use KFC) so it is keep 3,flip the fraction so it is 4/1 them change the sign ÷ into multiplication so it is 3×4/1=12. Therefore,the answer is 12.

hope this helps,have a great day!!

~Pinky~

The answer is 12 I think

what is the volume of the prism 2m x 3m x 5m​

Answers

Answer:

30 m³

Step-by-step explanation:

2 m x 3 m x 5 m= 30 m³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Please help !! If you help i’ll give 5 stars

Answers

Answer:

Imaginary

Step-by-step explanation:

IV
Evaluate the following:
a) A tea manufacturing company produces normal and green tea bags only. If 52.8% of 36850 total
production is normal tea bags, how many green tea bags are there?

b) If 61.6% of students out of 9855 total students are based in England, how many students are
based in England?

Answers

Answer:

A. Ans: Given,

Solution,

A tea manufacturing company produces normal and green tea bags only.

52.8% of 36850 production is normal tea bags.

Now,

Number of green tea bags=52.8% of 36850

=52.8/100×36850

=19456.8

Therefore, Number of normal tea bags=19456.8

The number of green tea bags is 17384

The number of students is 3071

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

a )

Total production of tea bags = 36850

Percentage of normal tea bags = 52.8 %

Total production of normal tea bags =

Percentage of normal tea bags x Total production

Total production of normal tea bags = ( 52.8 / 100 ) x 36850

                                                            = 19465.8 tea bags

Therefore , total amount of green tea bags = Total tea bags - Total normal tea bags

= 36850 - 19465.8

= 17384.2
≈≈ 17384

Hence , Total amount of green tea bags = 17384.2

b )

Total number of students = 9855

Percentage of students based in England = 61.6 %

Number of students based in England = Percentage of students x Total number of students

Number of students based in England = ( 61.6 / 100 ) x 9855

                                                                = 6070.68

                                                                ≈ 6071

Hence , total number of students based in England = 6070.68

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find the measure of the missing angle

Answers

Answer:

                            61

Step-by-step explanation:


The pentagons JKLMN and PQRST are similar.
Find the length x of PQ.

Answers

Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

Given

The similar pentagons

Required

Find x

To do this, we make use of any equivalent ratios.

In this case, we use:

[tex]KL : QR = KJ : QP[/tex]

Replace each of the above with the side lengths

[tex]4 : 7.2 = 5 : x[/tex]

Express as fractions

[tex]\frac{4 }{ 7.2} = \frac{5 }{ x}[/tex]

Cross multiply

[tex]4 * x = 5 * 7.2[/tex]

[tex]4x = 36[/tex]

Divide by 4

[tex]x = 9[/tex]

3,984,896 rounded to the nearest hundred

Answers

Answer:

3,984,896 rounded to the nearest hundred is 3,984,900

A mountain climber ascends hundred feet per hour from his original position. after six hours is fine opposition is 11,600 feet above the sea find climbers original position

Answers

Answer:

Original position =6,800 feet.

800 (ft per hour) x 6(hours) =4800 ft

11,600-4,800=6,800 feet

Step-by-step explanation:

Ben rented a car. It cost $30.00 plus $0.25 per mile. If Ben paid $85.00 for the car rental, how many miles did he drive the car? Write an equation and then use your equation to find your answer.

Answers

Answer:

220 miles

Step-by-step explanation:

85-30=55

55/.25=220

220 = miles

Answer:

Equation:

30 + 0.25x = 85

Work:

30 + 0.25x = 85

85 - 30 = 55

55 / 0.25 = 220

Final answer:

200 miles

Step-by-step explanation:

Hope this helped and have a nice day!!!

What is the domain for √(3x-3)? *

all real numbers except x=1
all real numbers for x≥1
all real numbers for x≥0
all real numbers except x=0

Answers

Domain and range are both
R
Explanation:
Note that your equation describes a line, since it is a polynomial of first degree. As a general result, every non-constant line has domain
R
and range
R
as well.
The domain is
R
because a line is, in particular, a polynomial, and every polynomial can be computed for every
x
.
The range is
R
because a non-constant line is either always growing or decreasing at a constant rate.
This means that, for every line, you always have one of this two situations:
lim
x




f
(
x
)
=


,

lim
x



f
(
x
)
=

or
lim
x




f
(
x
)
=

,

lim
x



f
(
x
)
=


and since every polynomial is continuous, it spans all the possible values from its minimum to its maximum. In other words, every line spans all the possible values from


to

, which means all the real number, thus the range is
R
.

RJ's teacher gave a pop quiz in math class yesterday. The scores on the quizzes ranged from 60% to 100%. What grade did most students earn on the pop quiz?

Answers

Answer:

Grade's of most student = 80% (Approx.)

Step-by-step explanation:

Given range:

Range of quiz = 60% to 100%

Find;

Grade's of most student

Computation:

⇒ Grade's of most student = Average grade

⇒ Average mean = Sum of observation / number of observation

⇒ Grade's of most student = [60 + 100] / 2

⇒ Grade's of most student = 160 / 2

Grade's of most student = 80% (Approx.)

A circular plate has circumference of 26.4 inches. What is the area of this​ plate? Use 3.14 for pi.

Answers

I believe the answer is 55.49 inches
using the equation C^2/(4*3.14)

Answer:

55

Step-by-step explanation:

i did the test and got 55. the actual answer is 55.49, but you have to round.

Which statements are true? Select all that apply.

Answers

Answer:

A,B, D

Step-by-step explanation: I just took that test and i got it right

In Exercises, we present descriptions of designed experiments. In each case, identify the
a. experimental units.
b. response variable.
c. factor(s).
d. levels of each factor.
e. treatments.
Oat Yield and Manure. In a classic study, described by F. Yates in The Design and Analysis of Factorial Experiments (Commonwealth Bureau of Soils, Technical Communication No. 35), the effect on oat yield was compared for three different varieties of oats and four different concentrations of manure (0, 0.2, 0.4, and 0.6 cwt per acre).

Answers

Answer:

Experimental unit = Oat

Response variable = Oat yield

Factors : Oat varieties ; Manure Concentration

Level of factors :

Oat = 3 levels

Manure concentration = 4 levels

Step-by-step explanation:

The experimental unit in this scenario is Oat, as it is the material or entity which we wish to research or learn about.

The response variable is what we intend to measure about the experimental unit, which is the yield of oat.

Factors here are the varieties of oat and the concentration of Manure which are the entities responsible for changes in the output or behavior of the dependent variable.

Level of factors : the different varieties of the factor variable, we have three Oat levels and 4 different Manure concentration levels.

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Farley often treats patients with medical products that come from nature. He also performs acupuncture, the art of using needles to restore the flow of energy.Which career would Farley most likely have?A: Naturopathic PhysicianB: Nurse PractitionerC: Home Health AideD: PediatricianPlease Help!! Translate They always walk into Spanish by filling in the missing letters:E |__e_pr_cam_n_ The cost (c) for g number of gelato ice cream is shown in the table. Complete the table and graph the proportional relationship between the number of gelatos purchased and the total cost.gc28568 what is sepsis? tell me everything about it Triangle DEF is shown on the coordinate grid below triangle DEF is reflected across the Y axis which role best describes this transformation solve the system by substitution5x+y=-145x- 3y=2 How do the organ systems function together in the human body? The ratio of carbon-14 to nitrogen-14 in an artifact is 1:7. Given that the half-life of carbon-14 is 5730 years, how old is the artifact?A. 5730 yearsB. 22,920 yearsC. 11,460 yearsD. 17,190 years PLEASE HELP MEWhich of the following best describes a forest dense with oak and hickory trees that change color and has a floor thick with leaf litter? A. tropical rain forest B. coniferous forest C. deciduous forest D. savanna plz help ill give you brainilist PLEASE HELP ASAP!!! Let z = 1 + 3i and w = 3 4i.Use the drop down menus to complete the statements.The sum z + w is equal to i.The sum w + z is equal to 2 i.The result supports that complex number addition is . Question 15Attending a two year college before attending a four year college is a very baddecision.True.OFalse. A doctor is writing a diagnosis of a condition in a patient's chart. The patient, Frank, is complaining of burning and irritation in his lower leg between his calf and his heel, to which the doctor says, "Yes, that's your Achilles." What did the doctor most likely diagnose? 0 arthritis O a sprain O a strain O a dislocation A lidless box is constructed by cutting a square with side length x from a rectangular sheet of paper with dimensions a x b. After the cut is removed, the sides are folded up to form thebox.a) Find the value of x (in terms of a and b) that maximizes the volume of the box.b) Find the value of x that maximizes the volume of the box when a = 8.5 inches and b= 11 inches. lets find the answer m1=(3x+21) and m3=(4x+9) what is the value of x "Republic: is a political system in which the supreme power lies in a body of citizens who can elect people tomake laws for them."A republic is another name for what kind of government?-))A)kingdomB)monarchyC)direct democracyD)representative democracy What feeling is Eliot evoking when describing the six oclock hour? 2x + 2y = -23x - 2y = 12Answer: