Graph the data. Then find and interpret the slope of the line through the points.
Answers
Answer:
4. The slope is 1.5 pages per minute
The interpretation is 1.5 pages takes 1 minute to complete
5. The slope is 135 Calorie per mile
The interpretation is 135 calories of energy is required or used in traveling a distance of 1 mile
Step-by-step explanation:
4. The given data are;
Minutes, x; 0, 1, 3, 5
Pages, y; 0, 1.5, 4.5, 7.5
The graph of the data created with MS Excel is included
From the graph, we have;
The slope is given by the rate of change of the y-values to the change in the x-values of the data
∴ Slope = Δy/Δx
[tex]The \ slope =\dfrac{\Delta y }{\Delta x} = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} = \dfrac{7.5 - 1.5}{5 - 1} = 1.5[/tex]
The slope = 1.5 pages per minute
The interpretation of the slope is that the number of pages completed per minute is 1.5 pages
5. The given data are;
Miles, x; 0, 1, 2, 3
Calories, y; 0, 135, 270, 405
Please find attached the graph of the data created with MS Excel
From the graph, the slope = Δy/Δx = (270 - 135)/(2 - 1) = 135
The slope = 135 Calorie per mile
The interpretation of the slope is it takes 135 calories to complete 1 mile or vice versa.
Related Questions
Gabe has a great job. He earns money on an hourly basis and he was given a signing bonus to switch jobs. He forgot how much they said they would pay him by hour but on his time card he has at 4 hours he has earned 1,120 and at 10 hours he has earned 1,480. What is an equation that will model this situation? How much money will he earn in a 40 hour work week?
Answers
Answer:
Pay for 40 hours would be [tex]\geq 40 * 148[/tex]
Step-by-step explanation:
Gabe works for 4 hours and earns $ 1,120
Pay for one hour is [tex]\frac{1120}{4} = 280[/tex]
When he works for 10 hours, he earns $1480.
Pay for one hour is
[tex]\frac{1480}{10} = 148[/tex]
Thus the per hours pay must be greater than or equal to 148 dollars
Pay for 40 hours would be [tex]\geq 40 * 148[/tex]
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answers
Answer and Step-by-step explanation:
We are given functions that show how much Frank gets payed at his two jobs.
To find his total pay, we must add the functions together.
T(x) = f+g(x) = 10x + 8x + 12
Add together 10x and 8x.
T(x) = 18x + 12
We get the answer to be:
C. T(x) = 18x + 12
#teamtrees #PAW (Plant And Water)
what is the error in the problem below
Answers
Answer:
27 - 6 × 4 is not 84 ( Filler because I need it to be 20 characters long)
Caitlyn ran 12 laps at the school track each lap was 3/5 of a mile how many miles did she run
Answers
Answer:
Step-by-step explanation:
You have to multiply 12 × 3/5 = 7 1/5. Hope this helps
re asking this because a bot spammed my first question
Jerry is building a sandcastle. He has a plastic cone that is 7 inches tall with a radius of 4.6 inches that he will use for part of the sandcastle. What is the volume of the cone?
Use ≈3.14 and round your answer to the nearest whole number.
cubic inches
Jerry also has a plastic cylinder to use for building the sandcastle. The cylinder has the same radius and the same height as the cone. What is the volume of the cylinder?
Use ≈3.14 and round your answer to the nearest whole number.
cubic inches
Complete the sentence below that describes the relationship between the volumes of the cone and cylinder. Use a whole number.
The cone and cylinder have the same height and radius, so the volume of the cylinder is
times the volume of the cone.
Answers
Answer:
155in³, 465in³
The cone and cylinder have the same height and radius, so the volume of the cylinder is 3 times the volume of the cone.
Step-by-step explanation:
Formula: πr²[tex]\frac{h}{3}[/tex]
Given: π = 3.14, r = 4.6, h = 7
Sub: 3.14(4.6)²[tex]\frac{7}{3}[/tex]
SImplify: 3.14(21.16)[tex]\frac{7}{3}[/tex]
Simplify: (66.4424)[tex]\frac{7}{3}[/tex]
Solve: 155
The volume of the cone is 155in³
Formula: (πr²)h
Given: π = 3.14, r = 4.6, h = 7
Sub: (3.14(4.6²))7
Simplify: (3.14(21.16))7
Simplify: (66.4424)7
Solve: 465
The volume of the cylinder is 465.
Since the last term of the cone is 1/3 of the last term of the cylinder, we can say:
The cone and cylinder have the same height and radius, so the volume of the cylinder is 3 times the volume of the cone.
if A (4,2) is dilated about the origin with a scale factor of 2, the image A' is
Answers
Answer:
tooties
Step-by-step explanation:
Jillian is making a paper flower motif for an art project the flower she is making has 4 petals each petal is made of three semicircles as shown below, What is the area of the paper flower?
Answers
Answer:
[tex]Area = 216\pi[/tex]
Step-by-step explanation:
Given
See attachment for semicircles
Required
The area of the paper
First, calculate the area of each petal.
The petal is made up of:
1. Semicircle of diameter 12cm
2. Semicircle of diameter 18cm (i.e. 12cm + 6cm)
3. A hole semicircle of diameter 6cm
The area of each semicircle is calculated as follows:
[tex]Area = \frac{\pi r^2}{2}[/tex]
For (1):
[tex]d = 12cm[/tex] --- diameter
[tex]r = 0.5 * d = 0.5* 12cm = 6cm[/tex] --- radius
So:
[tex]A_1 = \frac{\pi * 6^2}{2}[/tex]
Evaluate the exponent
[tex]A_1 = \frac{\pi * 36}{2}[/tex]
Divide 36 by 2
[tex]A_1 = 18\pi[/tex]
For (2):
[tex]d = 18cm[/tex]
[tex]r = 0.5* 18cm = 9cm[/tex]
So:
[tex]A_2 = \frac{\pi * 9^2}{2}[/tex]
[tex]A_2 = \frac{\pi * 81}{2}[/tex]
[tex]A_2 = 40.5\pi[/tex]
For (3):
[tex]d = 6cm[/tex]
[tex]r = 0.5* 6cm = 3cm[/tex]
So:
[tex]A_3 = \frac{\pi * 3^2}{2}[/tex]
[tex]A_3 = \frac{\pi * 9}{2}[/tex]
[tex]A_3 = 4.5\pi[/tex]
Recall that (3) is a hole.
So, the area (A) of a petal is:
[tex]A = A_1 + A_2 - A_3[/tex]
[tex]A = 18\pi + 40.5\pi - 4.5\pi[/tex]
[tex]A = 54\pi[/tex]
The paper uses 4 petals.
So:
[tex]Area = 4 * A[/tex]
[tex]Area = 4 * 54\pi[/tex]
[tex]Area = 216\pi[/tex]
PLZ PLZ PLS HELP PLZ
Answers
Answer
do the math and find out yourself
Step-by-step explanation:
omg thats what were learning to
Can someone help me with this?
Answers
9514 1404 393
Answer:
2b +2c35h +15mef +egStep-by-step explanation:
The outside factor multiplies each term in parentheses.
a) 2(b+c) = 2b +2c
b) 5(7h +3m) = 5×7h +5×3m = 35h +15m
c) e(f +g) = ef +eg
(Please hurry!) Canyon Middle School has 1272 students. About 32% of the students are in the seventh grade. About how many seventh-graders currently attend Canyon Middle School?
(round to the nearest whole number.)
Answers
Answer:
There are about 407 seventh graders currently attending Canyon Middle School
Step-by-step explanation:
Which expression is equivalent to (8x-4)+(5-4x)
Answers
Answer:
4x + 1
Step-by-step explanation:
Combine like terms, or terms with the same amount of the same variable:
(8x - 4) + (5 - 4x) =
(8x - 4x) + (5 - 4) = 4x + 1
4x + 1 is your answer.
~
Answer:
4x+1
Step-by-step explanation:
put it into a scientific notation
Answers
Answer:
2.41860465*10^-2
Step-by-step explanation:
Just use your calculator
Answer:
Hi! The answer to your question is 2.41860465 x 10^-2Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
A bakery sells muffins to local grocery
stores in boxes that hold 20 muffins each. How many
boxes are used if 60 muffins are sold? 600 muffins?
5,000 muffins? Solve this problem any way you choose
Answers
Answer: 3 boxes, 30 boxes, 2,500 boxes
Step-by-step explanation: If each box holds 20 muffins, and 20*3=60, 20*30=600, 20*2,500=5,000
Answer:
1200
Step-by-step explanation:
What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?
2x2+ 40 = -8x
Answers
Answer:
Step-by-step explanation:
Simplify this problem by dividing all three terms by 2:
x^2 + 20 = -4x
Rewrite this in standard form:
x^2 + 4x + 20
Take the coefficient of the x term and divide it by 2: 4/2 = 2
Square this result: 2^2 = 4
Between x^2 + 4x and 20 add this 4, then subtract it:
x^2 + 4x + 4 - 4
Rewrite x^2 + 4x + 4 as the square of a binomial:
(x + 2)^2 - 4, or (x + 2)^2 = 4
graph f(x)=x^2nand g(x)
Answers
Answer:
can sombody help awnser my problem
it's due in 10 minutes
Sylvia asked a random sample of students whether they prefer eating vegetables or fruits as a snack, and whether they prefer to bicycle or to walk. The results are shown in the table. Snack and Activity Preferences Bicycle Walk Total Vegetables 11 17 28 Fruits 16 10 26 Total 27 27 54 Approximately what percentage of the students surveyed prefer to eat vegetables and prefer to bicycle? A. 11% B. 20% O C. 30% OD. 41% O E. 51%
Answers
Answer:
20%
Step-by-step explanation:
Answer: could be 20%, sorry if im wrong
Step-by-step explanation:
What fraction of the time did Snowy Pines get at least 14 inches of snow?
Answers
Answer:1/4
Step-by-step explanation:
I got it right.
Fraction of time that the Snowy Pines get at least 14 inches of snow is 1/4.
What is Box Plot?Box plot, which is also known as box and whisker plot, is a method of graphically representing the measures like minimum, maximum and the quartiles of the data set.
Given is a box and whisker plot.
We know that box plot represents the first quartile, median and third quartile of the data set.
First quartile is where the 25% of the data points lie.
Median is where the 50% of the data points lie.
Third quartile is where 75% of the data points lie.
Above 14 inches lie the third or upper quartile.
75% of the data points lies below 14.
Data points which are at least 14 inches is 14 or more than 14.
Snowy Pines get at least 14 inches of snow for 100% - 75% = 25% of data points.
Fraction = 25/100 = 1/4
Hence the required fraction of time is 1/4.
Learn more about Box Plots here :
https://brainly.com/question/27029148
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in which quadrant is the point (-2, -3) located
Answers
Adrian and Brian are brothers. They leave the house on their bicycles and head to school that is a distance of 4 km away. Adrian cycles 1 km/hour faster than Brian and arrives to school 1 minute earlier. Algebraically determine the speeds of each brother
Answers
Answer:
Brian's rate is 15 km/hr
Adrian's rate is 16 km/hr
Step-by-step explanation:
Let r = Brian's rate
r + 1 = Adrian's rate
4/r = Brian's time
4/(r + 1) = Adrian's time
The difference in times is 1 min = 1/60 hr
[tex]\frac{4}{r} - \frac{4}{r + 1} = \frac{1}{60}[/tex] LCD = 60r(r + 1)
4(60)(r + 1) - 4(60)r = r(r + 1)
240r + 240 - 240r = [tex]r^{2}[/tex] + r
[tex]r^{2}[/tex] + r - 240 = 0
(r - 15)(r + 16) = 0
r = 15 or r = -16
Since the rate cannot be negative, Brian's rate is 15 km/hr and Adrian's rate is 16 km/hr
what is the definition of a random sample
Answers
Answer:
Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen
Step-by-step explanation:
AD and MN are chords that intersect at point B.
A circle is shown. Chords A D and M N intersect at point G. The length of A B is 9, the length of B D is x + 1, the length of M B is x minus 1, and the length of B N is 15.
What is the length of line segment MN?
Answers
Answer:
[tex]MN = 18[/tex]
Step-by-step explanation:
Given
[tex]AB = 9[/tex]
[tex]BD = x + 1[/tex]
[tex]MB = x - 1[/tex]
[tex]BN = 15[/tex]
See attachment
Required
Determine MN
The products of the segments of two chords that intersect are always, equal.
So, we have:
[tex]AB * BD = MB * BN[/tex]
[tex]9 * (x + 1) = (x - 1) * 15[/tex]
Open bracket
[tex]9x + 9 = 15x - 15[/tex]
Collect like terms
[tex]15x - 9x = 9 + 15[/tex]
[tex]6x = 24[/tex]
Solve for x
[tex]x = \frac{24}{6}[/tex]
[tex]x = 4[/tex]
The length of MN is calculated as:
[tex]MN = MB + BN[/tex]
[tex]MN = x - 1 + 15[/tex]
Substitute [tex]x = 4[/tex]
[tex]MN = 4 - 1 + 15[/tex]
[tex]MN = 18[/tex]
Answer:
C. 18 units
Step-by-step explanation:
Mikey bought 4 of the 500 raffle tickets sold to
win a new TV. What is the probability that he will
win the TV
Answers
Answer:
4/500
Step-by-step explanation:
Sidney is a salesperson. She sold a water heater for $410 and earned 14% commission.
How much commission did Sidney earn?
Answers
Answer:
$57.40
Step-by-step explanation:
Hope this helps!!
is 17:3 and 68 :12 equivalent
Answers
Answer:
yes they are
Step-by-step explanation:
Can SOMEONE REAL ACTUALLY HELP ME LIKE DANG
Answers
its C.
nknjlbkl/bujklb klb
(a) Anne, Barry and Colin share a prize in the ratio 3:4:5.
Colin gives 1/3 of his share to a charity.
What fraction of the whole prize does Colin give to the charity
Answers
Answer: 1/12
Step-by-step explanation:
1. Add up the 3 parts making 12
3:4:5 = 3+4+5=12
2. Out of the ratio we know that Colin gets 5 parts which is 5/12
3. If we subtract 5/12 from 1/3 we should get an answer of 1/12
5/12-1/3 =1/12
What is the difference between the number of vertices of
the two solids?
one
three
four
SIX
Answers
Answer:
One
Step-by-step explanation:
This was right on edge!
There are 6 vertices on shape 1, and 5 on shape 2. 6-5+=1, so the difference is one
What is(are) the intercept(s) of the exponential function shown below?
Answers
Answer:
option D
Step-by-step explanation:
for x intercept
the curve crosses the x asis at 1
then for y intercept it crosses the y axis at-2
that's all...have fun
Someone please answer #10,11,13 and 14 .. proportionss
Answers
Answer:
in pic
Step-by-step explanation:
PLEASE MARK BRAINLIEST
It costs $3.50 for 5 pounds of bananas. If the price per pound stays the
same, how much would 4 pounds of
bananas cost?
Answers
Answer:
$14.00
Step-by-step explanation:
Here's why. So, if 5 pounds of bananas is $3.50 per pound. All you need to do is do 3.50 * 4 and you'll get your answer, which is $14.00 .
It's pretty easy. If you have a problem like this just multiple the price with the number that they provide you with. :D