Jamilia has a weather station in her backyard. She uses a rain gauge to track the total rainfall during two storms.
1: Jamilia graphs the function describing mondays rainfall. Is the graph linear or nonlinear? How do you know?
2: what is the real-world meaning of the slope of the graph?
3: Next, Jamilia graphs the function describing Thursday’s rainfall. Is this graph linear or nonlinear? How do you know?
4: What does the y-intercept of the graph or Monday’s storm mean? Does the y-intercept of the graph of Thursday’s storm have the same meaning?
Answers
Answer:
1. The graph is linear because the precipitation increases at a steady rate of 3 mm every 15 minutes, or 0.2 mm per minute.
2.The slope of a line tells us how something changes over time, if the slope is found, the rate of change can be found. In this case it is telling us how the rain increases over time.
3.The graph is nonlinear. Because the rainfall total does not change at a constant rate, the points do not form a line.
4.The y intercept means the total rain that was present at the start of her recording, this means there was no rain when she first started her experiment.
Step-by-step explanation:
A linear function is such that has a constant rate, while a nonlinear function does not have a constant rate.
1. Monday rainfall
From the table that represents Monday rainfall, we have the following observations
As the time increases, the precipitation increases at constant interval.Time increases constantly by 15 minutes, precipitation increases constantly by 3 mmThis means that, the graph is a linear graph.
2. The slope
The slope in this case, is the amount of precipitation in one minute
3. Thursday rainfallFrom the table that represents Thursday rainfall, we have the following observations
As the time increases, the precipitation increasesTime and precipitation do not increase constantlyThis means that, the graph is a nonlinear graph.
4. The y-intercept
This is the value of precipitation when the time is 0
From the table,
The precipitation at 0 minute is 0
Hence, the y-intercept, is 0
And yes, both graphs have the same y-intercept
Read more about linear and nonlinear graphs at:
https://brainly.com/question/1418397
Related Questions
A group of friends receives a dinner bill for $87.50$87.50. The sales tax rate is 5%5%. They want to leave a 15%15% tip on the total bill after tax. How much money will they pay for their dinner with tax and tip?
Answers
Answer:
105.66
Step-by-step explanation:
87.5 times 1.05= 91.875
then you do 91.875 times 1.15 = 105.656
Answer:
I got $105.66
Step-by-step explanation:
I multiplied the subtotal by .05(to represent sales tax %) then added the solution to $87.50. then I multiplied .15(tip) to $87.50. Added that to the previous solution and got $105.66. Read below for clarification.
87.50(.05) = 4.375(or 4.38)
87.50 + 4.375 = 91.875
87.50(.15) = 13.125
91.875 + 13.125 = $105.66
HURRY PLEASE HELP ME!!!This graph shows a bicyclist moving at a constant rate. Write and equation for bicycle rider A.
Answers
Answer:
y= 30x
tep-by-step explanation:
Tom”s family of 4 went out to dinner. They spent 46.40 for the meal. They left a tip of 15% and the tax rate is 7 1/4%. What was the total cost of the dinner
Answers
Answer:
$57.22
Step-by-step explanation:
Total before Tax: $46.40
Tax rate: 3.36
After 7 1/4 Tax: 49.76
Tip: $7.46
Total: $57.22
Hope this helped! Have a great day!
Find the unit rate.
8 birds in 2 nests =
birds per nest
8 birds in 2 nests =___birds per nest
Answers
Answer:
4
Step-by-step explanation:
8/2=4
hope this helps :3
if it did pls mark brainliest
Answer:
try math-way
Step-by-step explanation:
Which is the best estimate of 20,168 ÷ 21?
Answers
Answer:
Use the algorithm method.
9 6 0
2 1 | 2 0 1 6 8
1 8 9
1 2 6
1 2 6
8
960
Step-by-step explanation:
May I have brainliest plz
A radio station is offering a promotion for a concert. Every 6th caller will receive a T-shirt and every 10th caller will receive a free concert ticket. Which caller will be the first to receive both a T-shirt and a free concert ticket?
Answers
In order to keep a specific bacteria alive, the tempature in a science lab, cannot exceed -20F. The electricity went out, when the tempature was -72F, but is increasing at a rate of 6.5 per hour. How many hours do the scientist have until the bacteria is not safe?
Answers
Answer:
At most 8 hours
Step-by-step explanation:
Given
[tex]Maximum = -20F[/tex]
[tex]Rate = 6.5/hour[/tex]
[tex]Base\ Temperature =-72F[/tex]
Required
Determine the time taken
Represent time by t.
The relationship between all parameters is:
[tex]Maximum = Base\ Temperature + Rate * t[/tex]
[tex]Base\ Temperature + Rate * t \leq Maximum[/tex]
This is so (≤) because, according to the question, the temperature can not exceed the maximum.
So, we have:
[tex]-72 + 6.5*t \leq -20[/tex]
[tex]-72 + 6.5t \leq -20[/tex]
Collect Like Terms
[tex]6.5t \leq -20 + 72[/tex]
[tex]6.5t \leq 52[/tex]
Solve for t
[tex]t \leq 52/6.5[/tex]
[tex]t \leq 8[/tex]
Hence, they have at most 8 hours
Graph the line with slope 2/3 passing through the point (-1,3)
Answers
Answer:
Step-by-step
Plot the point (-1,3) and from the point rise up 2 points and run across 3 points, which will give the second point.
The diagram below represents which percent?
An area model with 32 shaded sections and 68 unshaded sections.
3.2%
8%
32%
42%
Answers
Answer:
32 percent
Step-by-step explanation:
32 plus 68 =100
32 divided by 100 equals .32 or 32 percent
Answer:
Your answer is C, 32%
Step-by-step explanation:
It is 32% because if there is 32 shaded and 68 unshaded you would count the ones that are shaded which would be 32%.
H
S
45°
299
N
106
E
29°
А A A
Answers
Answer:
Can you pls write it straight
Step-by-step explanation:
Greg earns a salary of $300 per week plus an additional 6% commission on his sales. If his weekly salary increases by $50 and his commission increases to 7% how much will Greg earn if his weekly sales are $4,000?
Answers
Answer:
630
Step-by-step explanation:
350+4000(0.07)
350+280
=630
I think this is right
Ridah has a triangular garden with the sides 28m, 15m and 41m. She has planted rose and marigold plants in her garden. She used two-third of area of the garden for planting rose plants and the rest of the area for marigold. How much area has been used for planting marigold?
Answers
Answer:
Step-by-step explanation:
How many ways can you choose UP TO three items from a set of seven
different items? *
Which one is the right answer?
259
35
2187
Answers
Answer: 35
Step-by-step explanation:
PLEASEEE HELP!!!!!
Name the congruent triangles and justify the reason for congruence.
AABC - AFDE by HL
AABC - AEDF by ASA
AABC - AFED by HL
AABC - AFED by ASA
Answers
Answer:
b
Step-by-step explanation:
i just took the test
The solution is, ΔABC ≅ ΔFDE by SAS congruence rule.
The correct option is (1).
What are congruent triangles?Congruence is a phrase used frequently in mathematics to refer to a harmonious connection, comprehension, or correlation. A geometric figure is said to be congruent or to be in the relation of congruence if it is feasible to superimpose it on another so that their whole surfaces match. Two triangles are said to be congruent when two sides and their included angles in one triangle are equal to two sides and their included angles in the other.
here, we have,
As per the given data:
In ΔABC :
∠A = 63°
AC = 2.2
In ΔFED :
∠F = 63°
FE = 2.2
By using the distance formula, we can find AB and FD.
From the coordinates, as we can see in the diagram
FD = 2 units
Similarly,
AB = 2 units
Now from SAS congruence rule:
AB = FD (Both are 2 units)
∠A = ∠F (given)
AC = FE (given)
Hence, ΔABC ≅ ΔFDE by SAS congruence rule.
To learn more about congruent triangles, click:
brainly.com/question/12413243
#SPJ7
What is the graph for f (x)=-2(x-3)2+4
Answers
Answer:
hnahnahnahnahhnahnahnahnah
20 – 3n > 7n show work
Answers
Answer:
n>5
Step-by-step explanation:
move the 20 onto the other side of the > by subtracting 20 on the left side and adding 20 on the right side
now you have
-3n>7n-20
move the 7n onto the other side the same way. subtract 7n from one side and add it to -3n. now you have
4n>20
this is called adding similar terms or inverse operations what ever you wanna call it. Now you divide N by 4. This is because 4n can be simplified to 4×N and the opposite of multiplication is division. you do the same on the other side.
n/4>20/4.
you are left with n>5
Answer:
n<2
Step-by-step explanation:
Subtract 20 from both sides 20-3n-20>7n-20
Simplify -3n>7n-20
Subtract 7n from both sides -3n-7n>7n-20-7n
Simplify again -10n>-20
multiply both sides by -1 (-10n)(-1) < (-20)(-1)
Simplify 10n<20
Divide both sides by 10 Then you get your answer
Hi... can you tell me is this formula is right or wrong??
Answers
Answer:
this formula is right
2)-2(1-5) what’s the answer ?
Answers
Answer:
-2(1 - 5) = 8Step-by-step explanation:
-2(1-5) first parenthesises
= -2(-4) next multiplication (the product of two negative numbers is positive)
= 8
CJ earned a score of 75% on his math quiz each question on the quiz worth one points in CJ got 18 question correct how many questions were on the quiz
Answers
Answer: 24 questions
Step-by-step explanation:
Let the number of questions on the quiz be represented by x. This means that 75% of x equals 18. We need to calculate x. This will be:
75% × x = 18
75/100 × x = 18
0.75 × x = 18
0.75x = 18
x = 18/0.75
x = 24
The quiz has 24 questions.
Simplify
2(x+7) 2x + 20
- 2 =
x+4
2x + 8
Answers
Answer:
x = 0
Step-by-step explanation:
2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing
2(x+7) would be 2x+14
4(2x+8) would be 8x+32
2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms
2x and 2x can be combined on the left side
x and 8x can be combined on the right side
4x + 14 + 20 - 2 = x + 8x + 32
4x + 32 = 9x + 32 you can now solve this equation
start by subtracting 4x on both sides
32 = 5x +32 now subtract 32 on both sides
0 = 5x so x = 0
Answer:
x = 0
2(x+7) 2x + 20 - 2 = x+4(2x + 8) start by distributing
2(x+7) would be 2x+14
4(2x+8) would be 8x+32
2x+14 x 2x + 20 - 2 = x + 8x + 32 now combine like terms
2x and 2x can be combined on the left side
x and 8x can be combined on the right side
4x + 14 + 20 - 2 = x + 8x + 32
4x + 32 = 9x + 32 you can now solve this equation
start by subtracting 4x on both sides
32 = 5x +32 now subtract 32 on both sides
0 = 5x so x = 0
Fritz Benjamin buys a car costing $24600. He agrees to make payments at the end
of each monthly period for 6 years. He pays 7.2% interest, compounded monthly.
What is the amount of each payment? Find the total amount of interest Fritz will
pay.
Answers
Answer:
$525.62
$13,244.64
Step-by-step explanation:
A = P(1 + r/n)^nt
Where,
A = future value = ?
P = principal = $24,600
r = interest rate = 7.2% = 0.072
n = number of periods = 12
t = time = 6 years
A = P(1 + r/n)^nt
= 24,600(1 + 0.072/12)^12*6
= 24,600(1 + 0.006)^72
= 24,600(1.006)^72
= 24,600(1.5384)
= 37,844.64
12 months × 6 years = 72 months
Each monthly payment = Total payment / number of months
= $37,844.64 / 72
= $525.62
Total amount of interest = Total payment - Principal payment
= $37,844.64 - $24,600
= $13,244.64
Shanika and Vanesa are comparing their electric bills for the past month. Shanika is on a standard u
is on an interval use plan. Each person's usage is listed on the chart below:
Standard Use Plan
7.5 cents/kWh for the first 400 kWh
10 cents/kWh for the next 400 kWh
12.5 cents/kWh for anything over 800 kWh
Interval Use Plan
On-peak hours - 15 cents/kWh
Off-peak hours - 3 cents/kWh
Both women use 1,325 kWh for the given 30 day period. Vanesa uses 500 kWh during on-peak hours
peak hours. Which person ends up paying more for their utilities? How much more?
a. Vanesa pays $35.88 more than Shanika.
b. Vanesa pays $99.75 more than Shanika.
C. Shanika pays $35.88 more than Vanesa.
d. Shanika pays $99.75 more than Vanesa.
Answers
Answer:
C
Step-by-step explanation:
EDGE2021
Which expressions represent this model? Check all that apply. 4 + 5 4(5) 20 5(4) 05(5
Answers
Answer:
4(5), 20, and 5(4)
Step-by-step explanation:
i just did it! have an amazing day
Find two consecutive integers whose sum is 73. Which of the following equations could be used to solve the problem?
A. 2x = 73
B. 2 x + 2 = 73
C. x^2 + 1= 73
D. 2x + 1 = 73
Answers
qual é 33⅓% de 108?
Answers
= 36 (esta é a resposta final, eu não sei se você realmente precisa dela)
I NEED HELP PLEASE
Geometry: Quadrilateral LMNO is reflected over the line as shown, resulting in quadrilateral CDAB. Given the congruency statement LMNO ≅ CDAB. What segment corresponds to ML? (Show your work or explain your reasoning).
Answers
Answer: We are given Quadrilateral LMNO is reflected over a line.
Also given Quadrilateral LMNO is congruent Quadrilateral CDAB, that is
LMNO ≅ CDAB.
Note: Reflection over a line represents mirror images of the figures.
From the given image we can see
LM is congruent to CD.
ON is congruent to BA.
LO is congruent to BC.
MN is congruent to AD.
Therefore, DC segment corresponds to ML.
Hope i helped you out!
Peter, Bridget and Caroline share some sweets in the ratio 4:3:1. Peter gets 20 sweets. How
many sweets are there altogether?
Please help
Answers
Madhu bought a washing machine for Rs 13,000. He then sold it for Rs 15,000. He also paid Rs 300 to arrange the delivery of the washing machine at the buyer's house.
How much profit did Madhu make by selling the washing machine?
Answers
cost price=1300
selling price=1500
1500_1300=2000
madhu use 300 from his profit so
2000_300=1700
answer=1700
How to do this question plz answer
Answers
Step-by-step explanation:
a) m∠AOB = 360°/8 = 45°
Internal angle is 360°, divided by 8 sides of octagon
b) m∠ABC = 2m∠ABO
m∠ABO = m∠BAO = 1/2(180° - 45) = 1.2(135°)
m∠ABC = 2*1/2(135°) = 135°
Answer:
a) 45
b)135
Step-by-step explanation:
[tex]In\ order\ to\ find\ the\ sum\ of\ all\ the\ interior\ angles\ of\ a\ polygon\ with\ sides\ n,\\S=180(n-2)\\Here,\\As\ the\ figure\ is\ a\ regular\ octagon\ ,\\The\ sum\ of\ all\ of\ its\ angles\ = 180(8-2)\\=180*6=1080\\Hence,\\Given\ that\ it\ is\ regular\ or\ that\ all\ of\ its\ angles\ are\ equal\ in\ measure.\\Hence,\\b) Angle\ ABC=1080/8\\=135\\As\ it\ is\ regular\ , the\ diagonals\ passing\ through\ the\ center\ bisects\ the\ respective\ angles.[/tex]Hence,
[tex]Angle OAB=135/2 = 67.5\\Angle ABO=135/2=67.5\\Through\ the\ angle\ sum\ property\ of\ a\ triangle\\Angle OAB+AngleABO+Angle AOB=180\\67.5+67.5+AngleAOB=180\\135+AngleAOB=180\\Angle AOB=180-135\\=45[/tex]
help me ill give branilyest
At store A, 3 pounds of apples cost $12.
At store B, the cost is given by y = 2x where y is the cost in dollars and x is the number of pounds of apples.
The cost of apples at store C is shown in the graph.
Answer the questions to find out which store's apples are the least expensive.
1. What is the unit price of apples at store A? Explain how you found this unit price.
Write your answer in the space below.
2. What is the unit price of apples at store B? How did you use the equation to find the unit price?
Write your answer in the space below.
3. What is the unit price of apples at store C? How did you use the graph to find the unit price?
Write your answer in the space below.
4. Which store has the lowest unit price for apples?
Write your answer in the space below.
Answers
Answer:
The unit price is the cost per unit of an item or the cost/price for each item.
1) 4$ per pound. By simplifying the proportion (constant ratio) between the cost, and the pounds of apples. 3 pounds of apples cost 12$ → 3/3 pounds of apples cost 12/3$ → 4 dollars for every pound.
2) 2$ per pound. By evaluating the rate of change (change in the y over x or dependent variable over independent) in the equation: y = 2x. y is the cost in dollars, and x is the pounds of apples. So there are 2 pounds (weight) of apples for every dollar.
3) 3$ per pound. Given a graph with a y scaled by 3, and an x scaled by 1 with a graph y = x or 1 unit up for every unit right. This must be equivalent to y = 3x. Where y is labeled as the cost in dollars, and x as the weight in pounds. So there are 3 dollars for every pound of apples.
4) Store B. Because 2 is less than 3 which is less than 4.