The scatter plot below shows the relationship between latitude of cities and their average January temperature. Which is the best estimate of the rate of change for the line of best fit?
Answers
Answer:
-2.5
Step-by-step explanation:
it is what it is
The rate of change for the line of best fit = -2.5 degrees
What is rate of change?"The rate at which one quantity is changing with respect to another quantity."
What is the equation of the line passing through two points?"The equation of the line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is [tex]\frac{y-y_1}{y_2-y_1}= \frac{x-x_1}{x_2-x_1}[/tex]"
For given question,
We have been given a scatter plot and the line of best fit.
We can observe that the line of best fit passes through points (40, 25) and (30, 50)
Let [tex](x_1,y_1)=(30,50),(x_2,y_2)=(40,25)[/tex]
So, the equation of the line of best fit would be,
[tex]\Rightarrow \frac{y-50}{25-50}= \frac{x-30}{40-30} \\\\\Rightarrow \frac{y-50}{-25}= \frac{x-30}{40-3010} \\\\\Rightarrow y-50=\frac{-25}{10} (x-30)\\\\\Rightarrow y-50=-2.5x+75\\\\\Rightarrow y=-2.5x+125[/tex]
Here slope of the line is [tex]m=-2.5[/tex]
We know that the slope is the rate of change for the line of best fit.
Therefore, the rate of change for the line of best fit = -2.5 degrees
Learn more about the rate of change here:
https://brainly.com/question/12786410
#SPJ2
Related Questions
Put the following list of numbers in order from smallest to largest.
1. first 28.3
2. second 28.15
3. third 27.068
4. fourth 29.94
5. fifth 28.08
Answers
27.068
28.08
28.15
28.30
29.94
Which statements are true about the function f(x) = –|x| – 2? Check all that apply.
The parent function and this function open in the same direction.
The parent function and this function have the same range.
The parent function and this function have the same domain.
The range of the function is all real numbers less than or equal to –2.
The domain of the function is all real numbers greater than or equal to –2.
There are no values from the domain of the parent function that are also in the domain of this function.
Answers
Answer:
a c d f
Step-by-step explanation:
Answer:
its (c) and (d)
Step-by-step explanation:
Find the slope of the graph below* Help me out ty
Answers
Answer:
-1
Step-by-step explanation:
When the line is slanting down it means its negative.
if f(x) is an even function, which function must also be even?
1) f(x-2)
2) f(x)+3
3) f(x+1)
4) f(x+1)+3
Answers
Answer:
Step-by-step explanation:
Option 2 is correct.
if function is even , it is symmetrical about y axis.
if this function shift horizontally it will not remain symmetrical about y axis
if this function shift vertically it will remain symmetrical about y axis
Willie and anjali each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Willie spent $116 on 12 daylilies and 4 pots of ivy. Anjali spent $60 on 6 daylilies and 3 pots of ivy. Find the cost of one daylily and the cost of one pot of ivy
Answers
Answer:the cost of one day lily = $9 and cost of one pot of ivy = $2
Step-by-step explanation:
Step 1
let day lilies be rep as d
and ivy be represented as i
So that The expression for what Willie spent on 12 day lilies and 4 pots of ivy = $116 be
12 d+ 4i = 116 ---- equation 1
and for Anjali spending $60 on 6 day lilies and 3 pots of ivy be
6d+ 3i = $60------ equation 2
Step 2 --- Solving
12 d+ 4i = 116 ---- equation 1
6d+ 3i = $60------ equation 2
Multiply equation 2 by (2) and subtracting equation 1 from it
12d+ 6i= 120
--12 d+ 4i = 116
2 i= 4
i = 4/2 = 2
TO find d, putting the value of i = 2 in equation 1 and solving
12d+ 4(2) = 116
12d= 116-8
12d= 108
d= 108/12= 9
Therefore the cost of one day lily = $9 and cost of one pot of ivy = $2
Lucky is making bread. Lucky took 4 hours to knead the dough. The dough was made up of 8 kilograms of flour. How long will it take Lucky to knead 40 kilograms of flour?
Answers
Answer: 20 hours
In 1 hour it would make 2 kilograms so 40/2 is 20
Answer: 20 hours
Step-by-step explanation:
Multiply the 4 hours and 8 kg by 5 individually and you’ll get 40kg and 20 hours
It takes 2/23 sacks of sugar to fill a canister. Each sack contains 3/4 pound of sugar. What expression can be used to solve for the number of pounds of sugar it takes to fill the canister?
Answers
Given:
1 canister = [tex]\dfrac{2}{23}[/tex] sacks of sugar
1 sack = [tex]\dfrac{3}{4}[/tex] pounds of sugar.
To find:
The expression that can be used to solve for the number of pounds of sugar it takes to fill the canister?
Solution:
We have,
1 sack = [tex]\dfrac{3}{4}[/tex] pounds of sugar.
So,
[tex]\dfrac{2}{23}[/tex] sack = [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] pounds of sugar.
1 canister = [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] pounds of sugar.
1 canister = [tex]\dfrac{3}{46}[/tex] pounds of sugar.
Therefore, the expression [tex]\dfrac{2}{23}\times \dfrac{3}{4}[/tex] is used to solve for the number of pounds of sugar it takes to fill the canister.
12 m
15 m
8 m
5 m
5 m
Answers
45 because 12+15+8+5+5=45
ill love you forever if you help me:)
Answers
Answer:
D
Step-by-step explanation: WONDERWALL RULES
Wonderwall
Song by Oasis
Today is gonna be the day
That they're gonna throw it back to you
By now you should've somehow
Realized what you gotta do
I don't believe that anybody
Feels the way I do about you now....Ye i cant type the whole song but i tried!!
Find the square root of 1010001 base two,leaving ur answer in base
Answers
Answer:
1001 in base 2.
Step-by-step explanation:
1010001
= 1 + 2^4 + 2^6
= 1 + 16 + 64
= 17 + 64
= 81 in base ten.
Square root of this is 9
In base 2 this is 1001
What is the value of the expression?? PLEASE HELPPPPP
Answers
Answer:
18
Step-by-step explanation:
= -4 x (-5) - 2
= 20 - 2
= 18
Answer:
18
Step-by-step explanation:
-4x - 2
-4 (-5) - 2
(20) - 2
18
Help I need the answer
Answers
Answer:
Step-by-step explanation:
The graphy has got a negative slope.. running down hill.. and by 4
sooo... the last choice looks good
If the sales tax rate is 8%, how much tax would Luis pay for a pair of pants for $18 and two shirts for $9.99 each?
Answers
Answer:
$3.04 (rounded to nearest cent)
Step-by-step explanation:
Total cost without tax = $18 + $9.99 × 2
= $37.98
Tax = [tex]\frac{8}{100}[/tex] × $37.98
= $3.04 (rounded to nearest cent)
Can somebody good at math help me with these please I would really appreciate it
Answers
Answer:
1) The discount is $4.05
The sale price is $18.45
2) The discount is $10
The sale price is $30
3) The discount is $2.6
The sale price is $23.4
Step-by-step explanation:
1) What is the discount and sale price for a haircut that originally cost $22.50 with an 18% discount.
Actual Price= $22.50
Discount = 18%
Finding discount:
[tex]18\%\:of\:22.50\\=\frac{18}{100}\times 22.50\\=4.05[/tex]
So, the discount is $4.05
Finding Sale Price
The sale price can be found by: [tex]Sale\;Price=Actual\:Price-Discount[/tex]
Putting values and finding sale price:
[tex]Sale\:Price=22.50-4.05\\Sale\:Price=18.45[/tex]
The sale price is $18.45
2) What is the discount and sale price for a sweatshirt that originally priced $40.00 with an 25% discount.
Actual Price= $40.00
Discount = 25%
Finding discount:
[tex]25\%\:of\:40.00\\=\frac{25}{100}\times 40.00\\=10[/tex]
So, the discount is $10
Finding Sale Price
The sale price can be found by: [tex]Sale\;Price=Actual\:Price-Discount[/tex]
Putting values and finding sale price:
[tex]Sale\:Price=40.00-10\\Sale\:Price=30[/tex]
The sale price is $30
2) What is the discount and sale price for a large pizza that originally cost $26.00 with an 10% discount.
Actual Price= $26.00
Discount = 10%
Finding discount:
[tex]10\%\:of\:26.00\\=\frac{10}{100}\times 26.00\\=2.6[/tex]
So, the discount is $2.6
Finding Sale Price
The sale price can be found by: [tex]Sale\;Price=Actual\:Price-Discount[/tex]
Putting values and finding sale price:
[tex]Sale\:Price=26.00-2.6\\Sale\:Price=23.4[/tex]
The sale price is $23.4
really simple math question, pls help
Answers
Answer:
Quadrilateral
Step-by-step explanation:
No sides are parallel so it's not a trapezoid
Please tell me how to do it
Answers
Answer:
3 sqrt(13)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
6^2 + 9^2 = c^2
36+81 = c^2
117 = c^2
Take the square root of each side
sqrt(117) = sqrt(c^2)
sqrt( 9*13) = c
sqrt(9) sqrt(13) =c
3 sqrt(13) =c
Plzzzzzz I need help
Answers
Answer:
going in the order top to bottom
i)
2
2
2
2 and 2
ii)
2 and 2
2
2
2 and 2
iii)
2
2
2 and 2
2 and 2
Step-by-step explanation:
you have to find out what number you times to get the number they have given you (eg: you have to get 4 and they have given you the number 2, 2 times what makes 4? the answer is 2)
4. If x=2, which equation is true?
A. 3(8-X)=18
B. 3(9-x)=30
C. 2(x-8)=24
D. 4x-8=20
Answers
Answer:
option a.
Step-by-step explanation:
3(8-x)=18
3(8-2)
3×6=18
so the RHS and LHS are equal
Just to let you know
Select the expression equivalent to 4(x - 7) + 8. A 4x - 47 + 8 B 4(x - 15) С 4x - 7 + 8 D 4x - 28 + 8
Answers
Step-by-step explanation:
4(x - 7) + 8
= (4)(x) + (4)(-7) + 8
= 4x - 28 + 8. (D)
Caroline works 18 hours a week at a restaurant and earns $8.25 per hour. She also earns tips, which are 15% of her food sales. In one week, she earned $263.25.
Write an equation to find x, her total food sales for that week.
8.25 (FILL IN THE ANSWER) + (FILL IN THE ANSWER)x = 263.25
A. 0.15
B. 0.18
C. 8.25
D. 15
E. 18
Answers
Answer:
she earns 14.28 per hour and 6.75 each time.
Step-by-step explanation:
HELP ASAP!!!!
GIVING BRAINLIEST!
Find the value of x and y with the steps PLEASE.
Answers
Answer:
x=70
y= 40
Step-by-step explanation:
the triangle containing x is an isosceles triangle so two of the sides are 55.
55+55+x=180.
110+x=180
110-110+x=180-110
x=70
Triangle BAC is equilateral so 180/3=60. Now
x+60+c=180
70+60+c=180
130+c=180
130-130+c=180-130
c=50
That gives us one corner of triangle CBD. We know a second angle is 90 so
50+90+y=180
140+y=180
140-140+y=180-140
y=40
I think that is correct but you are free to check it yourself
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
Expanded: 4x^2+20x+25
When simplified it changes back, (2x+5)^2
Step-by-step explanation:
Answer:
4x² + 20x + 25
Step-by-step explanation:
Given
(2x + 5)²
= (2x + 5)(2x + 5)
Each term in the second factor is multiplied by each term in the first factor, that is
2x(2x + 5) + 5(2x + 5) ← distribute both parenthesis
= 4x² + 10x + 10x + 25 ← collect like terms
= 4x² + 20x + 25
Help please!
Write an inequality that represents the situation. A cat weighs less than 8 pounds.
Answers
w is a place holder for the cat's weight. It's some positive real number.
To describe all weights less than 8, we simply write w < 8.
For example, let's say the cat weighs 5 pounds. This would mean w = 5. In other words, 5 replaces w and we go from w < 8 to 5 < 8. This is a true inequality because 5 is smaller than 8.
Something like 10 < 8 is false because 10 is not less than 8. So w = 10 is not a solution to w < 8.
what function is the sequence 5, 10, 15, 20, 25, 30
Answers
Answer:
a[tex]n[/tex]=5n
Step-by-step explanation:
what is the power to 2
Answers
A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent.
hi please help me , if u dont mind
Answers
Answer:
C or B
Step-by-step explanation:
Answer: i believe it would be B
Step-by-step explanation: Basically the graph points keep moving up.
If I work at a store for $9/hour and get paid every week. How much would I make for 3 months?
Answers
Answer:
You'll be making approximately $4,320.00 after 3 months. Approximately because I assumed you have an 8-hour shift, 5 working days and 4 weeks in a month. If there are other cases like 6 working days, just replace 5 with 6 and recompute.
Step-by-step explanation:
[tex] \frac{9 \: dollars}{hour} \times \frac{8hours}{day} \times \frac{5days}{week} \times \frac{4weeks}{month} \times 3months \: = 4320 \: dollars[/tex]
if a 6-kg bowling ball is rolled down the bowling lane with a velocity of 3.5m/s what is the momentum of the ball. show can you please use the formula p=M x V. And can you show me how to do it.
Answers
Answer:
Hello, and I would like to help you. Would you mind if I just gave you the answer? If you would like me to explain say so in thec h a t
if you just want the answer tell me in c h a t I can always edit my answer.
Step-by-step explanation:
The scale factor from the large triangle to the small triangle is 3:1 What is the length of side x of the smaller triangle?
Answers
Answer:
10 i guess
cause
8*3=24
3*10=30
Step-by-step explanation:
Since the scale factor of the large to small triangle is 3 : 1, the side lengths of the small triangle are 1/3 of the big triangle side lengths. (such as 8 compared to 24)
Therefore 3x = 30 and x = 10.
MATH PLSS (I'LL TRY TO GIVE BRAINLIEST)
Answers
Answer:
b
Step-by-step explanation:
the first graph: use the points (0,1) and (4,2) to get a slope of 1/4
function b's slope is 3/4, clearly greater. so B