Two linear patterns are represented by these equations:S = 3n + 5S = 5n + 3Create tables of values for each. Then insert a graph of with both lines.Clearly label connections you see between the representations.
Answers
For:
\(S=3n+5\)The first column represents the values of n, and the second column represents the values of S:
For:
\(S=5n+3\)The first column represents the values of n, and the second column represents the values of S:
Using the table we can graph the equations:
The graph of S = 3n + 5 is:
And the graph of S = 5n + 3 is:
Graphing both functions on the same coordinate plane:
Related Questions
B=(3,5,6,9) and C=(2,4,6,8) Find (A). A/B (B). B/C C. A/C (D). C/A
Answers
Answer:
The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.
calculates the first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100
Answers
The first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.
How to calculate arithmetic progression?The first term of an arithmetic progression can be calculated using the following expression:
Sn = n/2 [2a + (n − 1)d]
Where;
a = first termUn = sumn = no of termsd = common ratio100 = 2 [2a + (4 - 1)4]
100 = 4a + 24
4a = 100 - 24
a = 76/4
a = 19
Therefore, the first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.
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This year you earned $75,500. Last year you earned $72,400. What was the rate of change on your earnings since last year
Answers
Answer:
4.28%
Step-by-step explanation:
We Know
Last year you earned $72,400
This year you earned $75,500
What was the rate of change in your earnings since last year?
We Take
(75,500 ÷ 72,400) x 100 ≈ 104.28%
Then We Take
104.28 - 100 = 4.28%
So, the earning increased by about 4.28%.
8÷968=? do the long division pls
Answers
0.0082644628
i dont know
What is the estimate of 2/5 + 2/3
Answers
Answer:
Exact Form:
16/15
Decimal Form:
1.06
Mixed Number Form:
1/1/15
Step-by-step explanation:
A construction company is considering submitting bids for two contracts. It will cost the company \$10{,}000$10,000dollar sign, 10, comma, 000 to prepare and submit the bids, and if won, each bid would produce \$50{,}000$50,000dollar sign, 50, comma, 000 of income to the company. The company estimates that it has a 10\%10%10, percent chance of winning any given bid.
Here is the probability distribution of X=X=X, equals the number of bids the company wins, and M=M=M, equals the amount of money the company profits from the bids.
X=\# \text{ of bids won}X=# of bids wonX, equals, \#, start text, space, o, f, space, b, i, d, s, space, w, o, n, end text 000 111 222
M=\text{profit}M=profitM, equals, start text, p, r, o, f, i, t, end text -\$10{,}000−$10,000minus, dollar sign, 10, comma, 000 \$40{,}000$40,000dollar sign, 40, comma, 000 \$90{,}000$90,000dollar sign, 90, comma, 000
Probability 0.810.810, point, 81 0.180.180, point, 18 0.010.010, point, 01
Calculate the mean of MMM.
Answers
Answer:
0 dollars
=E(M)
=μ
M
=−$10,000(0.81)+$40,000(0.18)+$90,000(0.01)
=−8,100+7,200+900
=0
Answer:
0.2, as stated on Khan.
Step-by-step explanation:
Pay attention to the wording. There are two similar problems with wording, but the numbers are altered.
Consider the function f(x) = 3x + 1 and the graph of the function g(x) shown below.
A coordinate plane linear graph function shows a line intersecting Y-axis at minus 5 and X-axis at 1.5.
The graph g(x) is the graph of f(x) translated units , and g(x) =
Answers
g(x) is a translation of 6 units downwards.
How to identify the translation that generates g(x)?
Here we have the function:
y = f(x) = 3x + 1
Notice that the y-intercept of f(x) is:
f(0) = 3*0 + 1 = 1
The y-intercept of f(x) is y = 1.
Now, we know that the y-intercept of g(x) is -5. then:
g(x) = 3x - 5 = f(x) - 6
Meaning that g(x) is a translation of 6 units downwards.
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Answer:
translated 2
units up
g(x)= f(x-2)
Step-by-step explanation:
find a recurrence relation an that counts the number of ways to climb n stairs if you can take either 1 star or 3 strais at a time
Answers
The recurrence relation an = an-1 + an-3 counts the number of ways to climb n stairs if you can take either 1 stair or 3 stairs at a time.
What is a recurrence relation?
A recurrence relation is an equation that defines a sequence of values in terms of the preceding terms of the sequence. It is a mathematical tool used to define a sequence of numbers, functions, or other mathematical objects in a recursive manner.
To find a recurrence relation that counts the number of ways to climb n stairs if you can take either 1 star or 3 stairs at a time, we can use the following steps:
Identify the base cases. In this case, the base cases are the number of ways to climb 0 stairs (an = 1) and the number of ways to climb 1 stair (an = 1).
Determine the recurrence relation. For n > 1, the number of ways to climb n stairs is equal to the number of ways to climb n-1 stairs (taking 1 stair at a time) plus the number of ways to climb n-3 stairs (taking 3 stairs at a time). Therefore, the recurrence relation is:
an = an-1 + an-3
Use the base cases and the recurrence relation to determine the values of an for the desired range of n.
For example, to determine the values of an for n = 0, 1, 2, 3, 4, and 5, we can use the following table:
n | an
0 | 1
1 | 1
2 | an-1 + an-3 = 1 + 1 = 2
3 | an-1 + an-3 = 2 + 1 = 3
4 | an-1 + an-3 = 3 + 2 = 5
5 | an-1 + an-3 = 5 + 3 = 8
Hence, the recurrence relation an = an-1 + an-3 counts the number of ways to climb n stairs if you can take either 1 stair or 3 stairs at a time.
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Jamie buys a new fish tank, which is 55 cm long, 25 cm wide and 40 cm high. He needs
to fill the tank with water that has to be 35 cm deep. How much water does he need to fill
the tank, if 1000 cm = 1 litre? Give your answer rounded to the nearest litre.
Answers
Answer:
0.155litre
Step-by-step explanation:
55+25+40+35=155cm
100Cm=1litre
155cm_ ?
155cm×1litre/1000cm
0.155Litre
Select the correct answer. What is the factored form of m6 − 64n3? A. (m2 + 4n)(m4 − 4m2n + 16n2) B. (m − 4n2)(m2 + 4mn2 + 16n4) C. (m + 4n2)(m2 − 4mn2 + 16n4) D. (m2 − 4n)(m4 + 4m2n + 16n2)
Answers
Answer:
D.
Step-by-step explanation:
(m^2- 4n)(m^4+4m^2n+16n^2)
Option D is our correct answer.
i.e (m² - 4n) (\(m^{4}\) + 4nm + 16n²).
Given,
\(m^{6}\) - 64n³
We need to find the factored form of this.
And select the correct options.
A. (m2 + 4n)(m4 − 4m2n + 16n2)
B. (m − 4n2)(m2 + 4mn2 + 16n4)
C. (m + 4n2)(m2 − 4mn2 + 16n4)
D. (m2 − 4n)(m4 + 4m2n + 16n2)
What is the formula of (a³ - b³)?It is given as:
( a - b ) ( a² + ab + b² )
Find the factored form \(m^{6}\) - 64n³
We can write this as,
\((m^{2})^3\) - 4³n³
(m²)³ - (4n)³
This is in the form of (a³ - b³).
Applying this formula.
Now,
(m² - 4n) ((m²)² + 4nm + (4n)²)
(m² - 4n) (\(m^{4}\) + 4nm + 16n²)
Thus Option D is our correct answer.
i.e (m² - 4n) (\(m^{4}\) + 4nm + 16n²).
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If the manager wants to use more Big Red trucks than Common Joe's trucks, plot a graph that shows the number of trucks used, given all 3
constraints. Replace the inequality sign with the equal sign. Use the Graph tool to graph all three equations and paste the resulting graph into the
box below. Describe which part of the graph should be shaded and whether the lines should be dashed or not.
Answers
Answer:the shaded region shows the possible numbers of big red trucks and common joe trucks used
Step-by-step explanation:
Alfonso solved a division problem by drawing an area model.
a. Look at the area model. What division problem did Alfonso solve?
Answers
Answer:
.
Step-by-step explanation:
.
Number of Computers
72
60
48
36
24
12
V
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced; 48
computers are produced in 4 days; and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
Unit rate:
computers per day
Answers
The unit rate of computers per day using the graph is that 12 computers are made per day.
What is a unit rate?The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.
How to find the unit rate of computers per dayTo obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
So, it is given by:
\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)
\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)
\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)
\(\bold{Slope = 12}\)
Unit rate = 12 computers per day.
The attachment of the graph is given below.
Therefore, the unit rate of computers per day is 12.
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Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 proble
worth either 5 points or 2 points. Write a system of equations that can be used to find how ma
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2
x + y = 29, 5x + 2y = 100
O x + y = 100, 5x + 2y = 29
5x + y = 29, 2y + x = 100
2x + y = 100, 5y + x = 29
Answers
Answer:
A.
Step-by-step explanation:
x + y = 29, 5x +2y = 100
please help and answer ASAP please will mark Brainlest
What is the value of x?
Enter your answer in the box.
x =
°
Answers
Answer:
80 degrees
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.
Can I please get some help I’ve been stuck on this question for a while!
Answers
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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Retama Park offers a Superfecta bet, in which you predict the exact order of the top four finishers. If there are 8 horses, find the number of possible ways to pick the Superfecta.
Answers
v
Question 1/ Which of the following describes the slopes of parallel lines? 1. same slope 2. zero slopes 3. different slopes 4. have no slope
Question 2/ what is the slope of the line represented by y = -5x + 2?
Question 3/ which of the following would be parallel to the graph of 2x -3y = 18?
Question 4/ What is the slope of the line that is parallel to the graph of y = -4x - 12
Answers
.Part D. Analyze the residuals.
Birth weight
(pounds)
Adult weight
(pounds)
Predicted
adult weight
Residual
1.5
10
3
17
1
8
2.5
14
0.75
5
a. Use the linear regression equation from Part C to calculate the predicted adult weight for each birth weight. Round to the nearest hundredth. Enter these in the third column of the table.
b. Find the residual for each birth weight. Round to the nearest hundredth. Enter these in the fourth column of the table.
c. Plot the residuals.
d. Based on the residuals, is your regression line a reasonable model for the data? Why or why not?
Answers
Answer:
Hi there! The answers will be in the explanation :D
Step-by-step explanation:
a) I'll attach a doc for the table so it'll basically answer a and b.
c) I'll also attach the graph.
d) I'm not entirely sure for this question, but I'll do my best to answer it correctly for you. I would say no, because we can see that the residuals are all positive, but the graph we're looking is going down which means it's negative. We can also see the table is increasing a bit so it doesn't really make any sense...
Hope this helped you!
7. Identify the axis of symmetry of the parabola.
y = -1
-8-6-4 P
-2/
X = 1
X = -1
y4
8
y = 1
6-
4-
2+
CO
+
4 68 X
Q
Answers
Answer:
The answer is y=-1 (answer is C).
DO WHATEVER YOU CAN TO HELP ME
Answers
Answer:A,C,D
Step-by-step explanation:
Answer:
A, C, D
Step-by-step explanation:
4-1=3 (correct)1+4=6 (incorrect)3x4=12 (correct)20÷5=4 (correct)3-4=1 (incorrect)Brenda recorded the amount of time it took to cook potatoes in a microwave.
Are the data proportional? How do you know?
Answers
Answer:
Yes. As we can see, there is a clear pattern for what we see. For every potato, we have to cook it for an extra 5 minutes. Thus, as the data is constant in the pattern, it is proportional.
Answer:
Yes, the data is proportional. We know this because, in each scenario, the input is multiplied by 5 to produce the output.
Step-by-step explanation:
2 × 5 = 10
3 × 5 = 15
5 × 5 = 25
If 450 birds have to fit evenly into 18 enclosures and there are 3 enclosures in each section of the zoo how many birds are in each section of the zoo?
Answers
Which is the answer
Answer:There are 75 birds in each section.
Step-by-step explanation:450 birds divided by 18 enclosures is 25 birds in each enclosure. 25 birds times 3 enclosures is 75 birds in each section.
What is the mode of the data set?
A. 8
B. 9
C. 10
D. 5
Answers
Answer:
A: 8
Step-by-step explanation:
The mode is the value that appears most frequently in a data set. A set of data may have one mode, more than one mode, or no mode at all. ... The mode can be the same value as the mean and/or median, but this is usually not the case
1. Francisco invested $5,000 into an account that earns 3% compounded quarterly. How many
times will Francisco earn interest after keeping the money in the account for 5 years?
2. What will be the value of his account in 5 years if he does not make any additional deposits or
withdrawals?
3. After how many years will Francisco’s account reach $10,000
4. If Francisco wanted to double his money in 12 years, what Interest rate would his account have to earn?
Answers
Answer:
10,002.21
Step-by-step explanation:
1)4x5= 20 times
2) principal= 5000
interest rate per year= 3%
compounded times per year=4
time in years = 5
the formula is amt= p*(1+r/n)^(n*t)
thus
Amount = 5805.92
3) If time in years = 23.2
then
amount = 10,002.56
4) Principal = 5,000
interest rate per yr= 5.82%
Compounded times per year = 4
time in years =12
A company is allowed to interview candidates until two qualified candidates are found. But budget constraints dictate that no more than 10 candidates can be interviewed. List the sample space.
Answers
Answer:
Kindly check attached picture for sample space design
45 ways
Step-by-step explanation:
Number of qualified candidates to be chosen = 2
Number of candidates to be interviewed = 10
Combination formula :
nCr = n! / (n-r)! r!
10C2 = 10! ÷ (10 - 2)!2!
10C2 = 10*9 / 2 * 1
10C2 = 90/2
10C2 = 45 different samples
Our sample space will contain 45 different samples
PLEASE HELP ME WITH THIS!! IM STRUGGLING
Answers
Answer:
A: (0,-12)
Step-by-step explanation:
This chart is really helpful!
You just have to flip the coordinates and make the x value negative.
Have a great day!
A two-child family is selected at random. Let B denote the event that at least one child is a boy, and let D denote the event that
the genders of the two children differ. Find the union of B and D. (1 point)
The union is (bb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is (bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
The union is {bb, bg, gb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of
the second child.
The union is (bb, bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of the
second child.
Answers
With the help of probability we can say that, DUM={GG,BB,GB,BG).
What is Probability?Probability is the concept that describes the likelihood of an event occurring.
In real life, we frequently have to make predictions about how things will turn out.
We may be aware of the result of an occurrence or not.
When this occurs, we state that there is a possibility that the event will occur.
In general, probability has many excellent applications in games, commerce, and this newly growing area of artificial intelligence
The chance of an event can be calculated using the probability formula by only dividing the favourable number of possibilities by the total number of potential outcomes.
hence, DUM={GG,BB,GB,BG)
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An object is launched directly in the air at a speed of 56 feet per second from a platform located 16 feet above the ground The position of the object can be modeled using the function f(t)=−16t2+56t+16, where t is the time in seconds and f(t) is the height, in feet, of the object. What is the maximum height, in feet, that the object will reach?
Answers
The time for the object to reach maximum height is 1.75 feet.
What is the quadratic equation?
The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The given equation of the object's motion;
f(t) = -16t² + 56t + 16
The time for the object to reach maximum height will occur when the final velocity will be zero.
Velocity is defined as the change in displacement per change in time of motion.
f' = -32t + 56
When the object reaches maximum height, f' = 0
0 = -32t + 56
32t = 56
t = 56/32
t = 1.75 feet
Thus, the time for the object to reach maximum height is 1.75 feet.
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Explain how you know that segment de is not parallel to segment bc
Answers
Line segments DE and BC are not parallel because they divide the opposite side of the triangle at different ratios.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, Line segment AD is 4 units and line segment DB is 2 units.
∴ Line segment AD is (4/2) = 2 times greater.
On the other hand line segment, AE is 9 units and line segment EC is 5 units.
∴ Line segment AE is (9/5) = 1.8 times greater.
Line segments BC and DE should have been parallel if they had the same ratios.
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