Answer: monthly customer charge of $7.58 plus $0.08275 per kilowatt-hour (kWhr) for the first 400 kWhr
Step-by-step explanation: I took this test before so I hope this helps gl on the test
a) The charge for using 300 kWhr in a month is $ 32.41
b) The charge for using 700 kWhr in a month is $ 59.30
c) The rule for computing C is
C ( x ) = { 7.58 + 0.08275x if 0 ≤ x ≤ 400
15.848 + 0.06208x if x > 400
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The monthly charge = $ 7.58
The monthly charge for per kWhr = $ 0.08275
The monthly charge per kWhr over 400 kWhr = $ 0.06208
So ,
The monthly charge for x kWhr is given by the equation = 7.58 + 0.08275x
The monthly charge for x kWhr which is more than 400 kWhr is given by the equation = 7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )
Now ,
a)
The charge for using 300 kWhr in a month is calculated by substituting the value of x as 300
So ,
The monthly charge for x kWhr is given by the equation = 7.58 + 0.08275x
The monthly charge for 300 kWhr = 7.58 + 0.08275 x 300
= 7.58 + 24.825
= $ 32.405
Therefore , The monthly charge for 300 kWhr is $ 32.41
b)
The charge for using 700 kWhr in a month is calculated by substituting the value for x as 700
The monthly charge for x kWhr which is more than 400 kWhr is given by the equation = 7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )
The monthly charge for 700 kWhr =
7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )
Substituting the value for x as 700 , we get
= 7.58 + 0.08275 ( 400 ) + 0.06208 ( 300 )
= 40.68 + 18.624
= $ 59.304
Therefore , The monthly charge for 700 kWhr is $ 59.304
c)
Let x represent the number of kWhr used and C be the monthly charge for x kWhr.
The model can be split into 2 parts of condition , where
For , 0 ≤ x ≤ 400
The function is 7.58 + 0.08275x
For , x > 400
The function is 15.848 + 0.06208x
Therefore ,
The rule for computing C is
C ( x ) = { 7.58 + 0.08275x if 0 ≤ x ≤ 400
15.848 + 0.06208x if x > 400
Hence , The monthly charge for 300 kWhr is $ 32.41 and the monthly charge for 700 kWhr is $ 59.304
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ5
Can anyone help me please I don’t understand this one can you please help me I appreciate it but don’t give me the wrong answer because I need my grade to go up I’m so sorry for being picky
Answer: (-25)/(2)
Steps: x | 0 | 2 | 4 | 6 | 8 |
"x" has a constant rate change of +2
y | 100 | 75 | 50 | 25 | 0 |
"y" has a constant rate change of -25
therefore, y/x = -25/2
which The following is a residual plot from a regression of a variable with the independent variable x.
Based on the plot, is it reasonable to conclude that a linear model is appropriate?
1.)Yes, because the plot shows no apparent pattern.
2.)Yes, because the points in the plot display less variation as x increases.
3.)Yes, because the sum of the residuals is close to zero.
4.)No, because the plot shows no apparent pattern.
5.)No, because the points in the plot display more variation as x increases.
Answer:
Yes, because the plot shows no apparent pattern.
Step-by-step explanation:
Yes, because the plot is a residual plot from a regression of a variable with the independent variable x.
What is regression?Regression is a statistical method that connects a dependent variable to one or more independent (explanatory) variables. A regression model can show whether changes in one or more explanatory variables cause changes in the dependent variable.A regression analysis can be used to predict how the independent variable will affect the dependent variable. As an example, we can say that a linear regression model can accurately predict age and height. Because height grows with age, age and height have a linear relationship.Regression analyses are usually carried out for one of two reasons: Forecasting the value of the dependent variable is possible for those who have access to some information on the explanatory variables.Therefore, the correct option is 1.)Yes, because the plot shows no apparent pattern.
To learn more about regression refer to:
brainly.com/question/26755306
#SPJ2
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
i got negative 108
Step-by-step explanation:
i got this because just put it in a porportion like x/y = x/?
then plug in the numbers it gives you. so it should look like this 5/-45 = 12/?
then multiply 12 and -45 and then divide by 5. you should get -108
pls mark branliest
what is the value of f(x)=3x-4 if x = -4?
Answer:
-16
Step-by-step explanation:
when x = -4
f(-4) = 3(-4) - 4 = -16
Answer:
f(-4)=3(-4)-4
f(×)=48
Roses need 14 times as much water as irises to bloom. if irises need 12 milliliters of water to bloom, how much water do roses needs
Answer:
168 milliliters
Step-by-step explanation:
Since roses need 14 times as much water as irises and we are given the water irises need, you multiply them together.
14•12=168Help please ... thanks
the one mile race is equal to how many feet
Your answer to this question
✿ 1 Mile = 5280 feet ✿
What is a number that when you multiply it by 4 and subtract 7 from the product, you get 25?
Answer:
8 times 4= 32-7=25
Step-by-step explanation:
The unknown number from the equation is 8.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, a number that when you multiply it by 4 and subtract 7 from the product, you get 25.
Let the unknown number be x.
Now, 4x-7=25
4x=32
x=8
Therefore, the unknown number is 8.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
what is 3(x – 6) = -12x - 9
Answer:
x = 3/5
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(x−6)=−12x−9
(3)(x)+(3)(−6)=−12x+−9(Distribute)
3x+−18=−12x+−9
3x−18=−12x−9
Step 2: Add 12x to both sides.
3x−18+12x=−12x−9+12x
15x−18=−9
Step 3: Add 18 to both sides.
15x−18+18=−9+18
15x=9
Step 4: Divide both sides by 15
15x/15 = 9/15
so x = 3/5
plz mark brainly
What is an algebraic expression to represent the perimeter of a rectangle with a width of x+5 and a length of 3x+10?
The ratio of boys to girls in Ms. Graham’s class is 3 to 5. There are 20 girls in the class.
What is the total number of students in Ms. Graham's class?
Answer:32
Step for step explanation:
The sum of the angles of any triangles. Write each answer on the line provided beside the corresponding letter. Notice that angle C is in an equilateral triangle and angle D is in an isosceles triangle.
Step-by-step explanation:
A=60B= 60 c= 60 D=42E35F= 35G= 55H= 4 5 I= 45J= 1 5 k= 15 L= 75 M= 120 N= 21O= 69P= 21Q= 55R= 55s= 42T= 42u= 69Julie has a part time job after school she gets paid at a constant rate of dollars per hour.Julie works 12$ per month . Use this rate to find many hours it takes for Julie to earn $228
What if it like this
Answer:
The answer is 4:1
Step-by-step explanation:
16:3 goes to 4:1
Pete wants to buy a new bike that costs $120 before any discount. Which offer should he choose to pay the least amount for the bike? NEED HELP PLEASE
A certain fraction is greater than 2. The denominator is 8. What must be true about the numerator?
Answer:
The numerator must be greater than 16
Step-by-step explanation:
We are told that a certain fraction is greater than 2. Thus, if the numerator and denominator are x and y respectively, then we have;
x/y > 2
We are further told that the denominator is 8.
Thus;
x/8 > 2
Multiply both sides by 8 to give;
x > 16
Thus,the numerator must be greater than 16.
2)
Last year Jose sold a painting for $2000. If he made 25% profit on the sale, how much had
he paid for the painting?
Answer:
1600 is the answer
Step-by-step explanation:
x + 0.25x= 1.25x =2000÷1.25 =1600
is x= 3 a solution to the equation 2(2x +1) + x = 8x +2-3x
I think u got right answer...
I NEED HELP WITH THIS MATH PROBLEM!!!
Answer:
72 degrees
Step-by-step explanation:
4x+6x=180
10x=180 combine like terms
10x/10=180/10
x=18
4(18) = 17
4.5.36
A smoke jumper jumps from a plane that is 1500 ft above the ground. The function h= - 16t^2+ 1500 gives the jumper's height h in feet during the free fall att seconds
a. How long is the jumper free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 940 ft?
c. What is a reasonable domain and range for the function h?
We have a jumper that jumps from 1500ft above the ground, such that its height as a function of time is given by:
h(t) = -16*t^2 + 1500
The solutions are:
A) 5.59 seconds
B) 5.91 seconds
C) D = (0s, 9.68s)
R = [0ft, 1500ft]
Notice that when t = 0, h = 1500, then at the initial time (t = 0) the height is 1500 (in ft), which means that the zero of the height is the ground.
a) How long is the jumper free fall if the parachute opens at 1000 ft?
Here we need to solve:
h = 1000 = -16*t^2 + 1500
Now we just need to solve this for t:
16*t^2 = 1500 - 1000 = 500
t^2 = 500/16 = 31.25
t = √31.25 = 5.59
So it takes 5.59 seconds to open the parachute.
B) similar to before, this time we need to solve:
h = 940 = -16*t^2 + 1500
16*t^2 =1500 - 940 = 560
t^2 = 560/16 = 35
t = √35 = 5.91
So it takes 5.91 seconds to open the parachute.
C) The domain is the set of inputs that we can use in the function.
The minimum of the domain is t = 0, when the jumper jumps.
To find the maximum of the domain we need to find the maximum time at which he could open the parachute, that is when h = 0ft, just in the ground.
Then we solve:
h = 0 = -16*t^2 + 1500
16*t^2 = 1500
t = √(1500/16) = 9.68
Then a reasonable domain is (0s, 9.68s)
And the range is the set of possible outputs, which will be all the possible heights of the jumper. We know that all of these are between 0ft and 1500ft, thus the range is [0ft, 1500ft]
If you want to learn more, you can read:
https://brainly.com/question/1632425
evaluate the expression for x = 3 y= 1/3 and z= 5. 12 x - 3y over 4 x - Z
Answer:
35.786
12(3) - 3(1/2)/4(3) - 5
This is then further simplified to:
36 - 1.5/7
And when you divide 1.5 by 7, the number (rounded) is .214.
Thus, subtract, and gain the final answer of 35.786.
Hope this helps!
Step-by-step explanation:
Can you please mark me brainliest
Hey there!
12x - 3y / 4x - z
= 12(3) - 3(1/3) / 4(3) - 5
= 36 - 1 / 12 - 5
= 35 / 7
= 5
Therefore, your answer is: 5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
pls help what is 1+2
dose the graph show a function? explain how you know
Answer:
No
Step-by-step explanation:
the graph fails the vertical line test
9. Given p = 2i + 2j + k and q = 4i + k. Find
(a) p • q
please help ASAP for 25 points and brainliest :)
12
Step-by-step explanation:
because i,j,k are the unit vectors of x y and z axis and the vector having same unit vector can only be multiply or divide
I need help with this .
use the name of the graph to name the function
Answer For Brainliest
Answer:
the answer is D
Step-by-step explanation:
12.
Question 19 (5 points)
2 - (-8) + (-3) =
15
OA) 1
18
B) 14
12
O
D) 7
Answer:
The answer is d because 10-3 is 7
Answer:
D)7
Step-by-step explanation:
2 - (-8) + (-3) =
10-3 =7
Please helpppp guyssssss
Answer:
the answer is B because the 30x how much they charge each hiur and the other one has a trend of 25 each hour so P charges 5 more .
Graph the line with slope −1 and y-intercept 3.
Answer:
See Attachment.
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define variables
Slope m = -1
y-intercept b = 3
Step 2: Write linear equation
Substitute into general form.
Slope-Intercept Form: y = -x + 3
Step 3: Graph
yoo someone help me with this im at school right now and its due in like 10 mins !