Answer:
Variable cost $3.79 ; fixed cost = $2185.47
Step-by-step explanation:
Given the data :
Rental return(x) :
2300
2500
2700
2900
3600
4900
5400
5300
4600
3800
2100
2500
Car wash cost :
10200
12700
11000
13100
15400
21700
21400
20200
22000
18700
9900
11400
Using the online regression calculator :
The obtained regression equation is :
ŷ = 3.79X + 2185.47
Comparing the obtained result with the general form of the equation:
y = mx + c
Where m = gradient or slope whose value gives the variation in cost per rental return (x)
c = intercept, which is constant or fixed, it is the value where the regression line crosses the y axis, hence, it corresponds to the fixed cost.
Hence,
The variable cost per rental return(m)
mx = 3.79x
m = $3.79
The fixed cost :
c = $2185.47
Use known logical equivalences to prove that a → (b → c) is logically equivalent to (a ^ b) → c.
Answer:-
a ∨ ( b ∨ c ) ⇔ (a ∨ b )∨ c ⇔ (a∧b)∨c ⇔(a∧b)→c
Step-by-step explanation:
Explanation :-
we know that b→ c ⇔ b∨c
Replacing b→ c ⇔ b ∨ c , we get
a → b ∨ c ,
By the same rule b→ c ⇔ b∨c
⇒ a ∨ ( b ∨ c )
Now
a ∨ ( b ∨ c ) ⇔ (a ∨ b )∨ c ⇔ (a∧b)∨c ⇔(a∧b)→c
which equation has the same solution as x -12 = 40
Steps to solve:
x - 12 = 40
~Ad 12 to both sides
x = 52
Best of Luck!
What is the profit percentage if the selling price is Rs 3000 and the cost price is RS 2000? * 5% 15% 50% 100%
3000/2000 = 1.5
3000 is 1.5 time as much as 2000. or 3000 is 50% bigger than 2000
answer: 50%
Give two ways to write the algebraic expression:
10s
Answer:
10 * s, 10(s), s(10), s * 10.
Step-by-step explanation:
Hope this helps
You have a balance of $213 in a savings account you withdraw $68 one day and $128 the next day without making any deposit what is the new balance
Answer:
17. . . . . . . . . . . . . . . "" " . . .
Answer:
$213
- $68
______
$145
- $128
______
$17
Step-by-step explanation:
If you start with $213 and withdraw $68 it would be $145 and then withdraw $128 you would only have $17 dollars left in your savings.
At a farmers' market Saturday, 5/8 of the vegetables sold were green. Of these, 3/4 were string beans. What fraction of the vegetables sold were string bean? (write your answer as a fraction)
Answer: 15/32
Step-by-step explanation:
The data that we have is:
5/8 of the vegetable sold where green.
of theses 5/8, 3/4 were string beans.
Then the 3/4 is applied to the 5/8 of green vegetables.
Then the fraction (of the total number of vegetables) that were string beans was:
F = (3/4)*(5/8) = (3*5)/(4*8) = 15/32
An ad for an above-ground pool states that it is 25 m2. From the ad, you can tell that the pool is a circle. If you swim from one point at the edge of the pool to another, along a straight line, what is the longest distance d you can swim? Express your answer in three significant figures.
Answer:
d ≈ 5.64 m
Step-by-step explanation:
We are told that the pool is circular and that the area is 25 m².
Now, the longest chord that connects two points in a circle is the diameter.
Thus, the longest distance d will be the diameter
Area of circle is given by the formula;
A = πr²
Thus;
25 = πr²
r² = 25/π
r = √(25/π)
r = 5/√π
Diameter is twice the radius. Thus;
d = 2 × 5/√π
d = 10/√π
d ≈ 5.64 m
Find the value of x. Round to
the nearest tenth.
Answer:
13.7
Step-by-step explanation:
x is the side of the triangle opposite the given angle. 47 is the hypotenuse of that triangle. The trig function that relates the opposite side and the hypotenuse is ...
Sin = Opposite/Hypotenuse
sin(17°) = x/47
x = 47·sin(17°) ≈ 13.7
The value of x is 13.7.
5/4÷1/3 please help
Answer:
3.75 Or 15/4
Answer:
15/4 or 3.75
Step-by-step explanation:
[tex]\frac{5}{4} : \frac{1}{3} = \frac{5}{4} . 3 = \frac{5 . 3}{4} = \frac{15}{4}[/tex]
Please find the value of x in the diagram. Thank you!
hope it helps
comment if u have any questions
What is the difference between a tax credit and a tax deduction?
a. A tax credit represents money owed to you, while a tax deduction represents money you owe.
b. A tax credit reduces the amount of money you must pay, while a tax deduction reduces your taxable income.
c. A tax credit is owed money that collects interest, while a tax deduction is money that you do not have to pay.
d. A tax credit occurs if you underpaid during the year, and a tax deduction occurs if you overpaid.
It is B
The difference between tax credit and a tax deduction is that- a tax credit reduces the amount of money you must pay, while a tax deduction reduces your taxable income.
What is Tax?
A financial charge that is imposed on a taxpayer in order to fund government spending and public expenditures is called tax. It is imposed by a governmental organization. It is a compulsory charge.
Given is tax credit and a tax deduction.
Tax credits and a tax deductions are same in a way that they will decrease what you pay in taxes. However, the method in which each of them work is quite different. Tax deductions lower your taxable income and will reduce what you'll pay in taxes, while tax credits reduce your tax bill dollar for dollar and may even increase your refund.
Therefore, the difference between tax credit and a tax deduction is that- a tax credit reduces the amount of money you must pay, while a tax deduction reduces your taxable income.
To solve more questions on tax credits and deductions, visit the link below-
https://brainly.com/question/16857625
#SPJ2
Answer: B
Step-by-step explanation:
trust
Evaluate the expression 4/5=3/4=
Answer:
4/5 and 3/4 are not the same, so maybe you should write Not Defined or something?
Step-by-step explanation:
Answer:
31/20
Step-by-step explanation:
Get a common denominator for the numbers:
4/5 = 16/20
3/4 = 15/20
4/5+3/4 = 16/20+15/20 = 31/20
y=-5x+6. y=3x-2 what do the values of x and y represent
Answer:
x=1; y=1
Step-by-step explanation:
Step-by-step explanation:
Given:
y=-5x+6 ----------(1)
y=3x-2 ----------(2)
As L.H.S from equation 1 and 2 are equal R.H.S will also be equal
Therefore
-5x+6=3x-2
-5x-3x=-2-6
-8x=-8
x=1
put x=1 in equation (1)
y=-5×1+6
y=-5+6
y=1
Therefore , x=1 and y=1.
Find the midpoint of the line segment with the given endpoints. 1) (-4, -9), (-6, -6)
Answer:
The answer is
[tex]( - 5 \: , \: - \frac{15}{2} )[/tex]Step-by-step explanation:
The midpoint M of two endpoints of a given line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-4, -9), (-6, -6)
The midpoint is
[tex]M = ( \frac{ - 4 - 6}{2} , \: \frac{ - 9 - 6}{2} ) \\ = ( - \frac{10}{2} , - \frac{15}{2} )[/tex]We have the final answer as
[tex]( - 5 \: , \: - \frac{15}{2} )[/tex]Hope this helps you
I NEED HELP PLEASE WITH PART 2, THANKS!
Steps to solve:
-6w - 8 + 15w = 2w - 8 + 7w
~Combine like terms
9w - 8 = 9w - 8
~Add 8 to both sides
9w = 9w
~Divide 9 to both sides
0 = 0
All real numbers are solutions.
Set builder notation: {x | R}
Best of Luck!
Solve for x. Show steps.
1. 3x = 2x + 2
2. 3x + 5 = 4x + 1
3. 6x + 3 = 3x + 12
Step-by-step explanation:
3x = 2x + 23x - 2x = 2
x = 2
2. 3x + 5 = 4x + 1
4x - 3x = 5 - 1
x = 4
3. 6x + 3 = 3x + 12
6x - 3x = 12 - 3
3x = 9
x = 3
Which angles are adjacent to each other?
Step-by-step explanation
dab and aeb
they are adjacent
k+a=500
how do i get k alone on one side of the equation ?
Answer:
k = 500 - a
Step-by-step explanation:
[tex]k + a = 500[/tex]
As we need "k" alone in one side of eqn. , we need to substract "a" on both the sides of the eqn. so that we can cancel "a" which on the left side.
[tex]k + a - a = 500 - a[/tex]
[tex] = > k = 500 - a[/tex]
the formula for the surface area of.a cube is S = 6x squared where x is the length of one side. find the length of the side of a cube with a surface area of 150 square imches HELP NOWwww!!!!!
Answer:
5 in
Step-by-step explanation:
S = 6x² is the formula and S = 150 in²
Therefore we have:
150 = 6x²x² = 150/6x² = 25x = √25x = 5 inSide of the cube is 5 in
Right angle FCD intersects Line A B and Ray C E at point C. AngleFCE is congruent to AngleECD. AngleECD is complementary to AngleDCB. A horizontal line has points A, C, B. Right angle F C D intersects the line at point C. A line extends from point C vertically to point E. Angle A C F is 45 degrees and angle F C D is 90 degrees. Which statement is true about AngleDCB and AngleACF? They are congruent and complementary. They are congruent and supplementary. They are complementary but not necessarily congruent. They are supplementary but not necessarily congruent.
Answer:
A: They are congruent and complementary.
Step-by-step explanation:
Just took the test hope this helps :D
Answer:
A
Step-by-step explanation:
it was correct on edge2020 so
(shrug)
Distribute the negative sign: -(x - 6y)
Answer:
- x + 6y
Step-by-step explanation:
Step 1:
- ( x - 6y )
Answer:
- x + 6y
To open up the parentheses you have to turn the negative into a positive.
Hope This Helps :)
Which of the following is not an example of a perfect square? a √9 b √200 c √4 d √64
Answer:
b= 200 is not an example of a perfect square
Order from least to greatest.
3.5, -2.1, square root of 9, -7/2, and square root of 5.
Answer:
-7/2,-2.1,√5, √9, 3.5Step-by-step explanation:
The problem statements needs to be properly formatted
3.5, -2.1, √ 9, -7/2, and√5.
let us find all square roots given in the list
√ 9= 3
√5= 2.23
hence we have 3.5, -2.1, 3, -7/2, and 2.23.
Also let us convert all fractions to decimal numbers
-7/2= -3.5
3.5, -2.1, 3, -3.5 and 2.23.
from least to greatest we have
-3.5,-2.1,2,2.23,3,3.5
or
3.5, -2.1, √ 9, -7/2, and√5.
-7/2,-2.1,√5, √9, 3.5
As of mid-2016, the world's population was about 7.4 billion people. The population of Country A was 226 million. In mid-2016, what percent of the world's population was the Country A population? Round your answer as a percentage to one decimal place.
Answer:
The percentage of country A population to the world population
= 3.05%
Step-by-step explanation:
Country A population as of 2016
= 226 million
= 226000000
The world population as of 2016
= 7.4 billion
= 7400000000
The percentage of country A population to the world population
= Country A population /The world population
The percentage of country A population to the world population
= 226000000/7400000000
The percentage of country A population to the world population
= 0.03054
Now multiplying by 100
= 3.05%
The percentage of country A population to the world population is 3.05%
Given that,
As of mid-2016, the world's population was about 7.4 billion people. The population of Country A was 226 million.Based on the above information, the calculation is as follows:
[tex]= 226000000\div 7400000000[/tex]
= 0.03054
= 3.05%
Learn more: https://brainly.com/question/6269728?referrer=searchResults
Write the coordinates of the vertices after a rotation 90° clockwise around the origin. If B=(-7, 0), C=(-1, 0), D=(0, 4), E=(-6, 4).
Answer:
hh8egu
Step-by-step explanation:
Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the lower 48 states, the percentage loss of wetlands per state is as follows:
46 37 36 42 81 20 73 59 35 50
87 52 24 27 38 56 39 74 56 31
27 91 46 9 54 52 30 33 28 35
35 23 90 72 85 42 59 50 49
48 38 60 46 87 50 89 49 67
The percentages are concentrated from 20% to 60% The percentages are concentrated from 60% to 90%
There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands.
These data are strongly skewed left.
These data are fairly symmetric, perhaps slightly skewed right.
There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands.
There are no gaps in the data.
Question Completion:
How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.)
Answer:
1. The percentages are concentrated from 20% to 60%.
2. These data are strongly skewed left.
3. There are no gaps in the data.
Step-by-step explanation:
1. Data
Percentage loss of wetlands per state
46 37 36 42 81 20 73 59 35 50
87 52 24 27 38 56 39 74 56 31
27 91 46 9 54 52 30 33 28 35
35 23 90 72 85 42 59 50 49
48 38 60 46 87 50 89 49 67
2. Re-arrangement of
Percentage loss of wetlands per state (in ascending order)
9 20 23 24 27 27 28 30
31 33 35 35 35 36 37 38
38 39 42 42 46 46 46 48
49 49 50 50 50 52 52 54
56 56 59 59 60 67 72 73
74 81 85 87 87 89 90 91
Solve the following equation for x: 2x + 5y = 8
Answer:
x=4-5/2y
Step-by-step explanation:
How to find The point midway
Step-by-step explanation:
The Midpoint Formula works exactly the same way. If you need to find the point that is exactly halfway between two given points, just average the x-values and the y-values.
Answer:
Assuming you're asking how to find the mid-point given two end-points. A really simple way is the take the two end-points, add the x coordinates and the y coordinates and divide both by 2.
Margaret drove to a business appointment at 90 mph. Her average speed on the return trip was 80 mph. The return trip took 1/4
hr longer because of heavy traffic. How far did she travel to the appointment?
Distance = speed x time
Let the time to the appointment = x
The time home would be x + 1/4 hour
set up an equation you have 90x = 80(x + 1/4)
Simplify:
90x = 80x + 20
Subtract 80x from both sides:
10x = 20
Divide both sides by 10:
x = 2 hours
Distance = 90 x 2 = 180 miles
what is the answer to 8x²+7y²-3x²+5y²=12
Answer:
-5x/12y
Step-by-step explanation: