An owner of a home in the Midwest installed solar panels to reduce heating costs. After installing the solar panels, he measured the amount of natural gas used y (in cubic feet) to heat the home and outside temperature x (in degree-days, where a day's degree-days are the number of degrees its average temperature falls below 65° F) over a 23-month period. He then computed the least-squares regression line for predicting y from x and found it to be ŷ = 84 + 18x. How much, on average, does gas used increase for each additional degree-day?
Answer:
18
Step-by-step explanation:
In the linear regression equation y=a+bx, slope coefficient b represents average unit increases in y variable due to unit increase in x variable.
In the given equation ŷ = 84 + 18x, b=18 represents average unit increases in gas used due to unit increase in degree day.
Hence,on average, gas used increase by 18 for each additional degree-day.
Bella lost 10 points 7 times playing a video game she then lost an additional a hundred points for going over the time limit what was the total change in her score
ga fa gza ca Morgan aca she moaned so hard
Which of the following relations are functions?
f={(1,2),(2,3),(3,5),(4,7)}
g={(1,3),(1,4),(2,5),(2,6),(3,7)}
h={(1,3),(2,6),(3,9),•••,(n,3n),•••}
A right triangle has one angle that measures 5°. What is the measure of the other acute angle?
Answer:
85
Step-by-step explanation:
There are three angles in a triangle
Since it is a right triangle one angle is 90 degrees
We are given one angle is 5 degrees
Let the third angle be x
The sum of the angles of a triangle is 180
x+5+90 =180
Combine like terms
x+95 = 180
Subtract 95 from each side
X+95-95 = 180-95
x = 85
Jordan’s credit card has an APR of 10.59%, compounded monthly. He is required to make a minimum payment of 3.96% of his current balance every month. At the beginning of March, Jordan had a balance of $628.16 on his credit card. The following table shows his credit card purchases over the next few months. Month Cost ($) March 50.81 March 48.04 April 77.36 April 32.40 April 49.20 May 25.79 May 79.39 May 79.08 If Jordan makes only the minimum monthly payments in March, April, and May, what will his balance be after he makes the minimum payment for May? (Assume that interest is compounded before the monthly payment is made, and that the monthly payment is applied at the end of the month. Round all dollar values to the nearest cent.) a. $1,094.10 b. $988.97 c. $967.60 d. $1,070.23
Answer:
b. 988.97
Step-by-step explanation:
got a 100 on the test
The balance at the end of May after the minimum payment is made is
$571.64.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
P = $628.16
r = 10.59%
n = 12
t = 1/12
The amount after March.
A = 628.16 [tex](1 + 0.1059)^{12\times0.08[/tex]
A = $633.48
Monthly payment.
= 3.96/100 x 633.48
= $25.09
Remaining amount.
= 633.48 - 25.09
= $609.39
The amount after April.
A = 609.39 [tex](1 + 0.1059)^{12\times0.08[/tex]
A = $614.55
Monthly payment.
= 3.96/100 x 614.55
= $24.34
Remaining amount.
= 614.55 - 24.34
= $590.21
The amount after May.
A = 590.21 [tex](1 + 0.1059)^{12\times0.08[/tex]
A = $595.21
Monthly payment.
= 3.96/100 x 595.21
= $23.57
Remaining amount.
= 595.21 - 23.57
= $571.64
Thus,
The balance at the end of May is $571.64.
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Lucas ran 9 miles in 3/4 of an hour. He took a break then returns by traveling that same 9 miles in 2/3 of an hour. How many more miles can lucas run per hour with his new rate
Answer:
He can run more 4.5 miles [total 13.5 miles in one hour]
Step-by-step explanation:
check the attachment for explanation
You are given the list of numbers, -9, 8, 3.0,
2
5'
2.42, 1. Which numbers are rational? Irrational?
Let's find
1/2+3/7
First write the addition with a common denominator.
Then add.
1/2+3/7=
Answer:
7/14+6/14=13/14
Step-by-step explanation:
find the common denominator(14)
change both fractions
1/2*7/7(2*7=14)=7/14
3/7*2/2(7*2=14)6/14
then add.
Evaluate the difference quotient for the given function. Simplify your answer.
f(x) = 5 + 4x – x2,
f(3 + h) – f(3)
h
1-1-2h-h² x
Enhanced Feedback
Please try again. To evaluate f(a + h), replace x by (a + h) in the expression for f(x). Substitute this
Need Help?
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What steps or reasoning did you use? Your work counts towards your score.
substituting (3+h) into the equation by replacing (3+h) where there is a x value we can get the quotient. Then repla
Answer:
-2-h
Step-by-step explanation:
It doesn't hurt to follow directions.
[tex]q=\dfrac{f(3+h)-f(3)}{h}=\dfrac{(5 +4(3+h)-(3+h)^2)-(5 +4(3)-(3)^2)}{h}\\\\=\dfrac{5-5+4(3+h-3)-((3+h)^2-3^2)}{h}=\dfrac{4h-(6h+h^2)}{h}\\\\=\dfrac{-2h-h^2}{h}=\boxed{-2-h}[/tex]
__
Steps: substitute 3+h and 3 for x in the definition of f(x) and simplify the result.
suppose four more people voted and they all voted for Jocelyn.what fraction of the vote would be for Jocelyn?
Answer:
The Answer is 113/348
Step-by-step explanation:
Courtney and Malik are buying a rug to fit in a
50-square-foot space, which rug should they
purchase? Explain.
$99 Rug Sa
What is 1/8 of 72 bottles of water
The perimeter of the rectangle below is 224 units. Find the length of side PQ.
Write your answer without variables.
HELP PLEASE
I need help ASAP
Answer:
1032
Step-by-step explanation:
The graph of f(x)=2^x is shown in black (k). Match each transformation of this function with a graph below.
Answer:
Step-by-step explanation:
From the graph attached,
Black curve represents a function f(x) = 2ˣ
When this curve is reflected over the x-axis image of the function will be,
g(x) = -[tex]2^{x}[/tex] [Red curve]
Similarly, curve represented by h(x) = [tex]2^{-x}[/tex] is the blue curve [image of f(x) reflected over y-axis]
When this curve is reflected over the x-axis, image of the function will be,
h'(x) = [tex]-2^{-x}[/tex] [green curve]
[tex]-2^{x}[/tex] → Red
[tex]-2^{-x}[/tex] → Green
[tex]2^{-x}[/tex] → Blue
Translate this please
Answer:
x < 6
Step-by-step explanation:
x can be 6 but no higher
hope this helps
x=4-k over 6, what is k
Answer:
k = -6x+4Step-by-step explanation:
[tex]x =\frac{4-k}{6}[/tex]
Cross Multiply
[tex]x \times 6 = (4-k)\times 1\\\\6x = 4-k[/tex]
Isolate k
[tex]6x -4 =-k[/tex]
Divide through by -1
[tex]\frac{6x}{-1} -\frac{-4}{-1} = \frac{-k}{-1}\\ \\-6x+4 =k\\\\k =-6x+4[/tex]
Divide. Reduce the answer to lowest terms. giveing brainlist
1/5 ÷ 3/4
Answer:
4/15
Step-by-step explanation:
1/5 * 4/3 = 4/15
Hope this helps and pls give me brainliest.
The solution is Option B.
The value of the equation 1/5 ÷ 3/4 is A = 4 / 15
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 ,
Let the equation be represented as A
Now , the value of A is
A = 1/5 ÷ 3/4 be equation (1)
On simplifying the equation , we get
A = 1/5 x 4/3
A = 4 / ( 5 x 3 )
The value of A = 4 / 15
Therefore , the value of A is 4/15
Hence , the equation is A = 4/15
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Which numbers is a factor of 100? 8 12 15 20
Answer:
20
Step-by-step explanation:
[tex]100 = 20 \times 5[/tex]
Can someone help me plssssss ;w;
The magnitude of an earthquake depending on the energy it produces can be modeled using the equation M = 0.6666 log x – 3.2. Complete the sentences about the model.
The curve representing the relationship includes the point_______ .
The growth factor is________ .
An earthquake with an energy level of has a magnitude of ________ .
Answer: The curve representing the relationship includes the point (1, -3.2) .
The growth factor is 0.6666 .
An earthquake with an energy level 1 of has a magnitude of -3.2 .
Hello my Alpha.... bows down*
The curve representing the relationship includes the point (1, -3.2).
The growth factor is 0.6666. An earthquake with an energy level of has a magnitude of – 3.2.
It is given that the magnitude of an earthquake depending on the energy .it produces can be modeled using the equation M = 0.6666 log x – 3.2.
It is required to find growth factor, point and magnitude.
The curve representing the relationship includes the point_______ .The growth factor is________ .An earthquake with an energy level of has a magnitude of _______.The amount of energy released is represented as E and an earthquake release the magnitude represented by M which is given in the question. This magnitude is represented as equation using logarithm of the height of the wave that is the scale measured by seismograph.
Thus, The curve representing the relationship includes the point (1, -3.2).
The growth factor is 0.6666 .
An earthquake with an energy level of has a magnitude of – 3.2.
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what is y over 3 (y/3) = 12
Answer:
so what i would like to do is what is 12 divid by 3 and when u get ur answer that it what the y is
Answer:
36
Step-by-step explanation:
y/3=12
y=3*12
y=36
solving literal equations HELP!!b g=x-c, for x
Answer:
Step-by-step explanation:
Not sure
Answer:
x = g + c
Step-by-step explanation:
This is the answer because:
1) Solve for x by simplifying both sides of the equation, then isolating the variable.
Therefore, the answer is x = g + c
Hope this helps! :D
A _________ is used to change one unit to another?
Answer:
conversion factor
Step-by-step explanation:
A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.
Find the mean, median, and mode for the following scores: 8, 7, 5, 7, 0, 10, 2, 4, 11, 7, 8, 7
Answer:
mode is 7, mean, 6.3 repeating, median 7
Step-by-step explanation:
can someone help me
Answer:
a. fig. 2 has 8 tiles, 3 has 11 and 4 gas 14
b. It changed when they added sides, 2 to the up and down left part and 1 on the right left part
what is the slope of the line ?
Three family members clean the bathrooms, wash the dishes, and do the laundry. If the
3 family members split up the time equally, how much time does each person spend doing
chores?
Answer:
1/3
Step-by-step explanation:
its 1/3 for every chore soooo 1/3 then 2/3 then 3/3
Would 2-3 have the same answer as 3-2? Why or why not?
Answer:
No
Step-by-step explanation:
2-3= -1
3-2 = 1
-3(-18)-y=56
help >_
Answer:
y = -2
Step-by-step explanation:
Step 1: Define
-3x - y = 56
x = -18
Step 2: Substitute and solve for y
-3(-18) - y = 56
54 - y = 56
-y = 2
y = -2
Answer:
y=-2
Step-by-step explanation:
this is because if you multiply -3 by -18 you get 54 and 56-54 is 2 so -y is 2
A merchant mixed 10 lb of a cinnamon tea with 2 lb of spice tea. The 12-pound mixture cost $13. A second mixture included 16 lb of the cinnamon tea and 8 lb of the spice tea. The 24-pound mixture cost $28. Find the cost per pound of the cinnamon tea and of the spice tea.
Step-by-step explanation:
Let's say c is the price of cinnamon tea, and s is the price of spice tea.
10c + 2s = 13
16c + 8s = 28
Divide the second equation by 4:
4c + 2s = 7
Subtract from the first equation:
6c = 6
c = 1
Use any equation to find s.
s = 1.5
Therefore, the cinnamon tea costs $1 per pound and the spice tea costs $1.50 per pound.