Answers
The common difference of the sequence is 70, the slope of the 1st and 2nd lines is 70, the slope of the 3rd and 4th points is 70, and the slope is constant.
What is the slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. Y and x are the net changes in the y and x coordinates, respectively.
Given:
Time in minutes and jumping jack table, coordinates of lines (1, 70) and (2, 140)
(a)
Consider 70, 140, 210, and 280 as an arithmetic sequence then the common difference will be,
Common difference = 140 - 70 = 70
(b)
Calculate the slope of the line as shown below,
\(m = (y_2-y_1) / (x_2 - x_1)\)
m = (140 - 70) / (2 - 1)
m = 70 / 1
m = 70
(c)
Calculate the slope for 3rd and 4th points,
m = (280 - 210) / (4 - 3)
m = 70 / 1
m = 70
(d)
As you can, the slope is constant, and the common difference is also constant.
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Related Questions
Is ab = a when b = 3, always, sometimes, or never true? Explain your answer.
Answers
Never true
Simple concept see below :
Given :-
\( \dashrightarrow \sf ab = a\)
\( \\ \)
divide both side by a
\( \dashrightarrow \sf \dfrac{ab}{a} = \dfrac{a}{a} \)
\( \\ \)
\( \dashrightarrow \sf \dfrac{\cancel ab}{\cancel a} = \dfrac{a}{a} \)
\( \\ \)
\( \dashrightarrow \sf \dfrac{b}{1} = \dfrac{a}{a} \)
\( \\ \)
\( \dashrightarrow \sf b = \dfrac{a}{a} \)
\( \\ \)
\( \dashrightarrow \sf b = \cancel\dfrac{a}{a} \)
\( \\ \)
\( \dashrightarrow \sf b = \dfrac{1}{1} \)
\( \\ \)
\( \dashrightarrow \bf b =1\)
So here given b = 3
but it's clearly visible that b = 1
.°. b ≠ 3
therefore it's never true
10. Supose you bought a digital album from your favorite artist and set iTunes to play
the album in random order without repeats. The album has 10 songs and it turns
out you really like 5 of them. Find the following probabilities for the first 2 songs
played at random.
a) You like both of them 2
b) B) you like neither of the songs ,
c) C) you like at least one of the songs
Answers
Probability to like both of them is 0.02.
Probability to like neither of the songs is 0.62.
Probability to like at least one of the songs is 0.44
What is probability?
Probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
Given Data
The album has 10 songs and
it turns out you really like 5 of them.
a) You like both of them
P(like both of them )
= \(\frac{2}{10}\) ×\(\frac{1}{9}\)
= 0.02
Probability to like both of them is 0.02.
b )you like neither of the songs
P(like neither of the songs)
= \(\frac{8}{10}\) ×\(\frac{7}{9}\)
= 0.62
Probability to like neither of the songs is 0.62.
c) you like at least one of the songs
P( like at least one of the songs)
2 ×\(\frac{2}{10}\) ×\(\frac{1}{9}\)
= 0.44
Probability to like at least one of the songs is 0.44
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3. Which graph represents the solution to 13k-21> 7?
Answers
Answer: Option (2)
Step-by-step explanation:
\(|3k-2| > 7\) means \(3k-2 < -7\) or \(3k-2 > 7\).
Solving each of these cases gives \(k < -\frac{5}{3}\) or \(k > 3\).
So, the answer is Option (2).
The next model of a sports car will cost 14.7% more than the current model. The current model costs $34,000. How much will the price increase in dollars?
What will be the price of the next model?
Increase in price:
Price of next model:
Answers
Answer: $4,998
Step-by-step explanation:
34000*1.147
38998-34000=4998
I need help pleaseeeeeeeeeeeeeeeeeeee
Answers
Answer:
Step-by-step explanation: [-2.19] = -3
[3.67] = 3
[-0.83] = -1
The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.
This can be generalized as given below:
[x] = -2, -2 ≤ x < -1
[x] = -1, -1 ≤ x < 0
[x] = 0, 0 ≤ x < 1
[x] = 1, 1 ≤ x < 2
Answer:
y = - \(\frac{3}{2}\) x
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line
m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then
y = - \(\frac{3}{2}\) x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (0, 0 )
0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so
c = 0
y = - \(\frac{3}{2}\) x + 0 , that is
y = - \(\frac{3}{2}\) x
Help me poeaseeeeeeeeeeee
Answers
Answer:
C. Hope It's Help :)))))
Answer:
4.5
Step-by-step explanation:
∛100 = ?
100 = 2 x 2 x 5 x 5
∛100
= ∛ ( 2 x 2 x 5 x 5 )
= 4.642
4.642 ~ 4.5
The approximation 4.642 can also be written as 4.5
Therefore,
∛100 = 4.5
Evaluate the expression.
4 + 3 × [6 ÷ (4 + 2)]2
Answers
Answer:
7
Step-by-step explanation:
4 + 3 × [6 ÷ (4 + 2)]^2
= 4 + 3 × [6 ÷ 6]^2
=4 + 3 × 1^2
=4 + 3 × 1
=4 + 3
=7
Fiona’s family is replacing the carpet in the living room the living room is in the shape of a square the length of one wall is 16 feet how many square feet of carpet does Fiona‘s family need to buy to replace their old carpet
Answers
Answer:
Step-by-step explanation:
We know that the sides in a square are equal length. We also know that you have to multiply length by width to get area. So if we know that the length of one side is 16 feet then all we have to do if multiply 16 by 16. Hence why the answer is 256 square feet of carpet.
What is the property used and the solution 4.(-3).5
Answers
Answer:
60
Step-by-step explanation:
using the bodmas
multiply 4 by -3
then multiply with 5
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
In one part of a rainforest 3/5 of the frogs are poisonous. what fraction of the frogs are not poisonous?
Answers
Then 1 - 3/5 = 2/5. This means that 2/5 of the frogs in that particular part of the rainforest are not poisonous. This fraction can also be expressed as 40/100 or 0.4 in decimal form.
In the given scenario, we know that 3/5 of the frogs in a particular part of the rainforest are poisonous. This means that the remaining fraction of the frogs are not poisonous.
To find this fraction, we need to subtract 3/5 from 1 (since the sum of the fractions of poisonous and non-poisonous frogs is equal to 1).
It's important to note that just because a frog is not poisonous, it doesn't mean it's safe to touch or handle them. It's always best to admire these beautiful creatures from a safe distance and leave them alone in their natural habitat.
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Given: x - 6 > -2
Choose the solution set.
{x | x ∈ R, x > 4}
{x | x ∈ R, x > -8}
{x | x ∈ R, x < 4}
{x | x ∈ R, x < -8}
Answers
The first one is the answer
which one is right?
l/w or w/l
the w is width and the l is length
Answers
Examine the following typical corporate bond listing:
In the name column, NYTel is the abbreviated name of the company (New York Telephone) issuing the bond. What was the closing price of the bond? What was the dollar amount? (See attachments)
a. 101 3/4; $101,750
b. 7 1/4; $7250
c. 101 3/4; $1017.50
d. 107 1/4; $1072.50
Answers
Answer:
C. 101 3/4; $1017.50
Step-by-step explanation:
Correct on E2020!
complete the following to make true statement.then determine the property applied
1)18+ =6 +18
2)-40 + =0
3)(10+3) + 6 - 10 +
4)-15 =-15
Answers
Answer:
1. 6 - commutative property of addition
2. 40 - additive inverses
3. (3+6) - associative property of addition
4. 0 - Identity property for addition
HELP ME PLEASE!! This is due today!! Use kcf and show ur work plzz!
Answers
Answer:
\(\frac{3}{2} \textrm{ cups of flour}\)
Step-by-step explanation:
the ratio of cups of flour per 1 cup of water:
\(\frac{2\frac{1}{2}}{1\frac{2}{3}}=\frac{\frac{5}{2}}{\frac{5}{3}}=\frac{3}{2}\)
The sum of three numbers 13. The sum of twice the first number, five times the second number, and six times the third number is 60. The difference between four times the first number and the second number is 14. Find three numbers.
Answers
Banshee sbsuosb shah d dhdnsjsnns
A ladder of length (2x+6) feet is positioned x feet from a wall. If the ladder reaches a height of (2x+4) feet along the wall. Find the longest leg.
A. 10ft
B. 24ft
C. 26ft
D. 13cm
Answers
Using the Pythagoras theorem, the longest leg has the length of 24 feet.
Given that,
A ladder of length (2x+6) feet is positioned x feet from a wall.
Height of the ladder = (2x + 6) feet
Distance of ladder from the wall = x feet
Height of the wall that the ladder is placed = (2x + 4) feet
These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.
Longest leg is (2x + 4) feet
Using the Pythagoras theorem,
(2x + 6)² = (2x + 4)² + x²
4x² + 24x + 36 = 4x² + 16x + 16 + x²
4x² + 24x + 36 = 5x² + 16x + 16
x² - 8x - 20 = 0
(x - 10) (x + 2) = 0
x = 10 or x = -2
x = 2 is not possible.
So x = 10
Longest leg = 2x + 4 = 20 + 4 = 24 feet
Hence the length of the longest leg is 24 feet.
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The surface area of this cylinder is 20,761.68 square yards. What is the height?
Use ≈ 3.14 and round your answer to the nearest hundredth.
29 yd
h=
Submit
h
yards
Answers
The height of the cylinder whose surface area is given would be = 85 yards.
How to calculate the height of a cylinder?The cylinder is a type of shape that has three sides which consists of two opposite circles that are joined by a curved surface.
To calculate the height of a cylinder, the formula that should be used is given as follows:
Surface area of cylinder = 2πrh + 2πr²
radius = 29 yards
surface area = 20,761.68 square yards
height = ?
That is ;
20,761.68 = 2×3.14× 29×h + 2×3.14× 29×29
20,761.68 =182.12h + 5281.48
182.12h = 20,761.68-5281.48
182.12h = 15480.2
h = 15480.2/182.12
= 85 yards
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Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answers
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
Lauren owns 28 acres of land which she rents to a rancher for $3603 per acre per year. Her property taxes are $942 per acre per year. How much profit does she make on the land each year?
a) $99,942
b) $127,260
c) $101,826
d) $74,508
Answers
Answer:
B)$127,260
Step-by-step explanation:
28 x 3603= 100884
942 x 28=26376
100884 + 26376= B) $127260
There is an upcoming election for student council president at a high school. Candidate A must get over 50% of the vote against Candidate B to be elected. A poll was taken of a random sample of 100 students from the high school and 37 students said they would vote for Candidate A. Simulations were done with an assumption that the population is split 50-50 using a sample size of 100 to see how likely a sample of 100 would have 37 who preferred Candidate A. The results of 100 simulations are shown below. Create a 95% confidence interval based on the data from the simulation, to the nearest hundredth, and state whether the observed proportion is within the margin of error of the simulation results.
Answers
If we make repeated random surveys of 300 students, we would expect about 90 percent of them to 90 percent of these intervals to contain the true population proportion.
What is percentage ?In mathematics, a percentage is a number or ratio written as a fraction of 100. It is often represented by the percent sign '%', but abbreviations such as 'pct.', 'pct', and 'pc' are also used. Percentages are dimensionless numbers.Percentage can be calculated by dividing the value by the grand total and multiplying the result by 100. The percentage formula is (Value/Total) x 100%.CalculationHere we consider a survey of 300 students and of the 480 bring a laptop de class to take notes based on the survey and 90 percent. Confidence interval for the proportion of all students who bring their laptop class was constructed and it gave an interval from 1.552 .65 and we are asked for the best interpretation of the 90 percent confidence interval. What this interval means is that we are 90 percent, confident that the true proportion of all students who bring their laptops to classes lies within the interval. So that means if we were to make repeated confidence intervals by drawing samples of 300 from the population of students. If we kept making the 90 percent confidence intervals, we would expect about 90 percent of them to include the true population proportion. So the correct answer is the second one. If we make repeated random surveys of 300 students, we would expect about 90 percent of them to 90 percent of these intervals to contain the true population proportion.learn more about percentage here :
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A special CPI is constructed to measure the variation of these products, so that coffee and bread have a weight of 0.35 of the total and egg, ham and cheese 0.1 of the total. variation of the CPI?
Answers
9514 1404 393
Answer:
The CPI increased 3.42% in Month 2.
Step-by-step explanation:
In a spreadsheet, the weighted sum is easily computed using the SUMPRODUCT( ) function. It multiplies the corresponding values of two arrays, then returns the sum of those products. If one of the values is a weight, then the result is a weighted sum.
Your CPI is computed as the weighted sum of the prices of the individual products. The percentage change is computed in the usual way:
pct change = ((new value)/(old value) -1) × 100%
Of course, the spreadsheet can format a fraction as a percentage, so the computation of the change can stop after 1 is subtracted from the ratio.
Who wants a brainy list? plz plz plzzzzzzz help PLEASE HELP NOW!!!!!
Answers
How long will it take $5,000 to double in an account that pays 1.6% simple interest?
Answers
Answer:
43.667 years
Step-by-step explanation:
Simple Interest Rate Formula: A = P(1 + r)ⁿ
Step 1: Define variables
A = 10,000
P = 5,000
r = 0.016
n = unknown
Step 2: Substitute variables
10,000 = 5,000(1 + 0.016)ⁿ
Step 3: Solve for n time
2 = (1.016)ⁿ
\(\log_{1.016}2\)
43.667 years
elmedico ha recetado a luis un frasco de 24 vitaminas con las siguientes indicaciones. La semana 1 debe tomar la cuarta parte de las vitaminas, la semana 2 debe tomar 2/3 de las vitaminas restantes y la semana tres el resto ¿cuantas vitaminas toma cada semana?
Answers
Answer:
I don't know this answer
Answer:
Ya no hay
Step-by-step explanation:
Help me out please please
Answers
Answer:
490000
Step-by-step explanation:
Substituting \(x=40\),
\(I=-425(40)^2 + 45500(40) - 650000=490000\)
1 mark question plese give me answer
Answers
Answer:
x = 110
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x° is an exterior angle of the triangle, then
x = 60 + 50 = 110
Do the results support or contradict the common belief that the mean body temperature is 98.6degreesF? A. The results contradict the belief that the mean body temperature is 98.6degreesF because both the mean and the median are less than 98.6degreesF. B. The results are inconclusive because the median body temperature is not equal to 98.6degreesF while the mean is approximately equal to 98.6degreesF. C. The results are inconclusive because the mean body temperature is not equal to 98.6degreesF while the median is approximately equal to 98.6degreesF. D. The results support the belief that the mean body temperature is 98.6degreesF because both the mean and the median are equal to 98.6degreesF
Answers
Answer:
A. The results contradict the belief that the mean body temperature is 98.6 °F because both the mean and the median are less than 98.6 °F.
Step-by-step explanation:
Assume the temperature data were those in the table below.
You would have calculated that
Mean = 97.9 °F
Median = 97.9 °F
These observations contradict the belief that the mean body temperature is 98.6 °F.
A 2017 study found the mean oral temperature of more than 35 000 British patients was 97.9 °F.
William is studying the hair colors of all students attending his college. He collects data from the 25 students in his statistics class. Which type of sampling is used?
a) Convenience sampling
b) Stratified sampling
c) Cluster sampling
d) Systematic sampling
Answers
Answer:
Convenience sampling
Step-by-step explanation:
sampling plans are defined as ways, strategies used by researchers to select participants for their study. Kinds of sampling includes simple, systematic, stratified, cluster, quota, convenience and judgment(All sampling).
Convenience sampling is a type of sampling method that entails taking or chooses the individuals easiest to researchers reach. It is simply known for its ease of data collection and no random selection. sample is simply a part of a known population selected to act in place or representt the entire population.