which function describes the arithmetic sequence shown -5,-7,-9,-11,-13
Answers
Answer:
\(n(x)=x-2\)
Step-by-step explanation:
You can notice that between each of the arithmetic sequence there is a addition of 2. So we know that to add a 2 to get the next value. We can write it as n(x) where n is a function where x is the number:
n is the function and x repersent the number which is givenWe can write this function as: \(n(x)=x-2\)So if we input x = -5 we will get -7. If we input -11 we get -13.
Related Questions
6e x 66 π x 6e x Ans =
Answers
The evaluation of the expression is 6e x 66π x 6e = 55155.0487531.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
An expression,
6e x 66 π x 6e
The value of e lies between 2 and 3.
And the value of π lies between 3 and 4.
Solving further,
6e x 66π x 6e = 55155.0487531
Therefore, the value of the expression is 55155.0487531.
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A person swims 6.4 meters per
second north while being
pushed by a current moving
west at 2.1 meters per second.
What is the magnitude of the
swimmer's resultant vector?
Answers
Answer:
4.3
im not sure
correct me if im wrong
Answer
6.7
Step-by-step explanation:
Works on acellus
the following equation represents the total distance (d) that the Benson family has traveled from their home, after traveling 100 miles to pick up their grandparents for a family vacation, given the time (t) traveled from the grandparents' home and driving at a rate of 55 mph. Determine how far from their home the Bensons will be after 3 1/2 hours of driving with their grandparents. d=55t+100
Answers
Answer:
The distance the Bensons had traveled from their home \(3\frac{1}{2}\) hours after picking up their grand parents 292.5 miles
Step-by-step explanation:
The given equation for the distance the Benson family traveled from their home can be presented as follows;
d = 55·t + 100
Where;
d = The total distance that the Benson family has traveled from their home after traveling 100 miles to pick up their grandparents
t = The time duration the Benson family have been traveled from their grandparents home on the way to their vacation
To find how far from their home the Bensons will be after 3 1/2 hours of driving with their grand parents, we substitute t with 3 1/2 hours or 3.5 hours as follows;
d = 55·t + 100
When t = \(3\frac{1}{2}\) hours, we get;
\(d = 55 \times 3\frac{1}{2} + 100 = 292.5 \ miles\)
Therefore, the distance the Bensons had traveled from their home \(3\frac{1}{2}\) hours after picking up their grand parents = 292.5 miles.
Aiden walked 2/3 of a mile in 1/5 of an hour . What is his rate in miles per hour ? please help !
Using the table, what is the number of servings per cup of flour?
Answers
Answer: 10/3 or 3 1/3
Step-by-step explanation:
2/3 ÷ 1/5 =
2/3 × 5/1 =
2×5/3×1 =
10/3 or 3 1/3
Graph each equation. Determine the solution of the system of equations. 0 Use the graphing tool to graph the system.
Answers
Answer:
First one is 4 and the second one is 0
Step-by-step explanation:
Keith's height and his nephews height was at a ratio of 15:7 then, keith's Height increased by 16% and his nephews height doubled. If Keith is now 34cm taller than his nephew, what is their total current height?
Answers
Answer:
314 cm
Step-by-step explanation:
If Keith's height is 15x and his nephew's height is 7x, we can write the following equation:
1.16 * 15x = 34 + 7x * 2 -- (We get the 1.16 from the 16% increase)
17.4x = 34 + 14x
3.4x = 34
x = 10 so Keith's current height is 1.16 * 15 * 10 = 174 cm and his nephew's height is 174 - 34 = 140 cm for a total current height of 174 + 140 = 314 cm.
Find the length of QR
Answers
Answer:
QR = 15
Step-by-step explanation:
The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.
(QR+5) *5 = 10^2
(QR+5) *5 = 100
Divide each side by 5.
(QR+5) *5/5 = 100/5
(QR+5) = 20
Subtract 5 from each side.
QR = 20-5
QR = 15
A park has t tables spread equally among the 3 picnic areas.Write an expression that shows how many picnic tables are at each picnic area.
Answers
Answer:
8000
Step-by-step explanation:
bc if its 3 picnic its its 8000
sara chose a date from the calendar. what is the probability that the date she chose is a prime number, given that the date is after the 7th of the month?
Answers
The probability that the date sara chose is a prime number is 0.2.
Given that, sara chose a date from the calendar.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Here, total number of outcomes = 30
Number of favourable outcomes = 6
Now, probability = 6/30
= 1/5
= 0.2
Therefore, the probability that the date sara chose is a prime number is 0.2.
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A bakery uses 300 pounds of flour to make 120 wedding cakes of the same size. At this rate how many pounds of flour are needed to make 1 wedding cake? A. 2.5 pounds A. 2.5 pounds B. 25 pounds B. , 2 over five... Pounds, C. 13 pound C. 1 over three... Pound D. 1.3 poun
Answers
Answer:
A: 2.5 pounds
Step-by-step explanation:
300 divided by 120 is 2.5
2.5 pounds per cake
help!! Will mark brainliest! Thank you
Answers
Answer:
34
Step-by-step explanation:
7y - 3x
7(4) - 3(-2)
28-(-6)
34
WILL GIVE BRAINLIEST!
To override a presidential veto, at least 66 2/3% of the Senate must vote to override the veto. There are 100 senators in the Senate. What is the minimum number of votes needed to override a veto? (Round up to the nearest vote.)
Answers
Answer:
I'm sure the answer is 34 8/10
the sum of two numbers is 30. when is the product of the first number multiplied by the square of the second number maximum
Answers
The two numbers required to solve the following problem are, 13.3 and 6.7
What is Derivative?
The derivative of a function of a real variable in mathematics describes the sensitivity of the function value to a change in its argument. Calculus relies heavily on derivatives.
Solution:
Let the ture positive numbers be x,(x,y>0)
x + y = 20 -------- Given
We need to maximise \(xy^{2}\)
x = 20 - y
f(y) = (20 - y)*\(y^{2}\)
f(y) = 20\(y^{2}\) - \(y^{3}\)
f'(y) = 0
On differentiating:
f'(y) = 40y - 3\(y^{2}\)
0 = 40 - 3y
y = 13.3
x = 6.7
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Identify the boundary line for each system of inequalities
Answers
The boundary lines are y > -3x + 4: dotted line and y <= 8x + 1: solid line
How to determine the boundary linesFrom the question, we have the following parameters that can be used in our computation:
y > -3x + 4
y <= 8x + 1
The boundary line for the inequality "<" is a dotted line, which means that the endpoint is not included in the solution set.
The boundary line for the inequality ">=" is a solid line, which means that the endpoint is included in the solution set.
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Solve the simultaneous equations
-x + 5y = -7
x + y = – 5
x = 1
y= 0
Answers
y= -5-x
-x + 5(-5-x) = -7
-x -25-5x =-7
-x-5x = 25 -7
-6x= 18
x = -3
-3 +y = -5
y= -5 +3
=-2
-(-3) + 5(-2)
3 - 10 = -7
Answer:
y= -2, x= -3
Step-by-step explanation:
Firstly, substitute the x and y values:
-x + 5(0)= -7
x+ 0 = -5
second thing to check: DSA - different signs addition (positive x and -x)
-x+5y=-7 take away x+y=-5
6y= -12
y= -2
To find x: -x + 5(-2)= -7
-x= -7 + 10
x= -3
The price of an item yesterday was $140. Today, the price rose to $238. Find the percentage increase.
%
Answers
Answer:
216$
Step-by-step explanation:
Answer:
41.2%
Step-by-step explanation:
\(Percentage\ change = (\frac{Final\ Price\ - Initial\ Price}{Final\ Price})100\\\\Percentage\ change=(\frac{238-140}{238})100\\\\Percentage\ change=(\frac{98}{238})100\\\\Percentage\ change=(0.412)100\\Percentage\ change=41.2\\\)
So the percentage increase was 41.2%
justification of scissors
Answers
Answer:
Following are the description of the scissors:
Step-by-step explanation:
The tool is used to cut cloth, paper, and other materials. This refers to two blades placed one on each other and attached inside the middle to enable the thumbs and fingertips to opened and shut through hooks at the bottom of the handles.
It may be used to cut different thin materials, including papers, cartons, sheets, cloth, cloth, or wire. For specific needs a broad range of scissors and shears are available.
asking whether the linear system corresponding to an augmented matrix [a1 a2 a3 b] has a solution amounts to asking whether b is in span {a1, a2, a3}.
Answers
To determine if the linear system corresponding to an augmented matrix [a1 a2 a3 b] has a solution, we can check whether the vector b is in the span of the vectors {a1, a2, a3}.
In linear algebra, the augmented matrix represents a system of linear equations. The columns a1, a2, and a3 correspond to the coefficients of the variables in the system, while the column b represents the constants on the right-hand side of the equations. To check if the system has a solution, we need to determine if the vector b is a linear combination of the vectors a1, a2, and a3.
If the vector b lies in the span of the vectors {a1, a2, a3}, it means that b can be expressed as a linear combination of a1, a2, and a3. In other words, there exist scalars (coefficients) that can be multiplied with a1, a2, and a3 to obtain the vector b. This indicates that there is a solution to the linear system.
On the other hand, if b is not in the span of {a1, a2, a3}, it implies that there is no linear combination of a1, a2, and a3 that can yield the vector b. In this case, the linear system does not have a solution.
Therefore, determining whether the vector b is in the span of {a1, a2, a3} allows us to determine if the linear system corresponding to the augmented matrix [a1 a2 a3 b] has a solution or not.
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If cosA = 24/25 tanB = 4/3 and angles A and B are in Quadrant I, find the value of tan(A−B).
Answers
If cosA = 24/25 tanB = 4/3 and angles A and B are in Quadrant I. The value of tan(A-B) is -23/33.
What is the value of tan(A-B)?We can start by using the identity: tan(A - B) = (tan A - tan B)/(1 + tan A tan B)
From the given information, we have:
cos A = 24/25, which means sin A = sqrt(1 - cos^2 A) = 7/25 (since A is in Quadrant I)
tan B = 4/3, which means sin B = 4/sqrt(4^2 + 3^2) = 4/5 and cos B = 3/sqrt(4^2 + 3^2) = 3/5
Now, we can use the definitions of sine and cosine to find tan A:
tan A = sin A / cos A = (7/25)/(24/25) = 7/24
Substituting the values we have found into the formula for tan(A - B), we get:
tan(A - B) = (tan A - tan B)/(1 + tan A tan B)
= [(7/24) - (4/3)]/[1 + (7/24)(4/3)]
= (-13/72)/(25/72)
= -13/25
Therefore, tan(A - B) = -13/25.
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Assuming that the sample proportion does not change, what would be the relationship between the width of the original confidence interval and the width of a second 90 percent confidence interval that is created based on a sample of only 1,000 viewers in the area
Answers
Complete question:
A 90 percent confidence interval is to be created to estimate the proportion of television viewers in a certain area who favor moving the broadcast of the late weeknight news to an hour earlier than it is currently. Initially, the confidence interval will be created using a simple random sample of 9,000 viewers in the area. Assuming that the sample proportion does not change, what would be the relationship between the width of the original confidence interval and the width of a second 90 percent confidence interval that is created based on a sample of only 1,000 viewers in the area?
Answer:
original interval is 3 times narrower than the second interval with a sample. Size of 1000
Step-by-step explanation:
The width of the two different intervals, created with sample sizes of 9000 and 1000 samples :
Width = 2z√(pq)/n
q = 1 -p
For :
The only difference between the intervals Is the sample size, n
For Interval1, with sample size, n = 9000 ;
2z√(pq)/9000 ---(1)
For Interval1, with sample size, n = 1000 ;
2z√(pq)/1000 ----(2)
Dividing 1 by 2 :
2z√(pq)/9000 ÷ 2z√(pq)/1000
2z√(pq)/9000 * 1000 /2z√(pq)
Hence, we have :
√9000 / √1000
300 / 100
= 3
This means the original interval is 3 times narrower than the second interval with a sample. Size of 1000 ; the width of confidence interval narrows as sample size increases
Which statement about the polygons is true?
Answers
Based on the given polygon, the true statement on the polygons is that Polygon A is similar to Polygon B because Polygon B is a rotation of Polygon A.
How are the polygons related?Polygon A is related to Polygon B because to create Polygon B, Polygon A was dilated.
When a polygon is dilated, it means that it is either made to be larger in size, or smaller in size. In this case, Polygon A was made to be larger in size to create polygon B.
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Each diagram has a pair of figure, one larger than the other. For each pair, show that the two figures are similar by identifying a sequence of translations, rotations, reflections, and dilations that takes the smaller figure to the larger one.
Answers
Transformation involves changing the size and position of a shape. The sequence of transformation is:
First shape: dilation, translation.Second shape: dilation, rotationThe first shape
First, we notice that the size of the shape is enlarged; this means that the small shape is dilated to the bigger one.
Next, the dilated shape is translated 1 unit right and 2 units up
Hence, the sequence of transformation is: dilation, then translation
The first second
First, we notice that the size of the shape is enlarged; this means that the small shape is dilated to the bigger one.
Next, the dilated shape is rotated.
Hence, the sequence of transformation is: dilation, then rotation
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7x−3(x−1) as another equation
Answers
The expression 7x−3(x−1) written as another expression is 4x + 3
How to represent the expression in another form?From the question, we have the following expression that can be used in our computation:
7x−3(x−1)
There are brackets in the above expression
So, the first step is that we remove the bracket
So, we have the following representation
7x−3(x−1) = 7x − 3x + 3
Looking at the equation closely, we have like terms
So, the next step is to evaluate the like terms
Solving further, we evaluate the like terms
7x−3(x−1) = 4x + 3
The above equation cannot be further simplified
Hence, the solution or equivalent of the expression is 4x + 3
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The figure below shows a rope that circles the Earth. The radius of the Earth is 6371 kilometers. Assuming the rope makes a perfect circle, what is the length of this rope? Give your answer in terms of pi. kilometers
Answers
Answer:
12742π kilometers
Step-by-step explanation:
Circumference = 2πr
Circumference = 2(r)π
r = 6371
Circumference = 12742π
If my answer is incorrect, pls correct me!
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-Chetan K
Answer:
12742
Step-by-step explanation: Khan Academy
can somebody please help
Answers
Answer and Step-by-step explanation:
1. 3(5x - 4) = 8x + 2
15x - 12 = 8x + 2
15x - 8x = 2 + 12
7x = 14
x = 2
2. 9(n + 3) = 7n - 3
9n + 27 = 7n - 3
9n – 7n = -3 – 27
2n = – 30
n = –15
3. 2(10 - 6x) = x - 8x
20 - 12x = -7x
20 = -7x + 12x
20 = 5x
x = 4
4. 5a + 4(3a - 8) = 4 + 13a
5a + 12a - 32 = 4 + 13a
17a - 32 = 4 + 13a
17a - 13a = 4 + 32
4a = 36
a = 9
5. 2y + 18 = 12 - 6(y + 7)
2y + 18 = 12 - 6y - 42
2y + 6y = 12 - 42 - 18
8y = -48
y = -6
6. x - (5 - 3x) = 7x + 4
x - 5 + 3x = 7x + 4
4x - 7x= 4 + 5
-3x = 9
x = -3
7. 8(m - 5) = 2(3m - 8)
8m - 40 = 6m - 16
8m - 6m = -16 + 40
2m = 24
m = 12
8. -4(3 - 6d) = 9(2d - 2)
-12 + 24d = 18d - 18
24d - 18d = -18 + 12
6d = -6
d = -1
9. 7(10 - 3w) = 5(15 - 4w)
70 - 21w = 75 - 20w
-21w + 20w = 75 - 70
-w = 5
w = -5
10. 6t + 3(5t - 4) = 12(2t - 5)
6t + 15t - 12 = 24t - 60
21t - 24t = -60 + 12
- 3t = -48
t = 16
11. 2(9x - 1) = 99 - 7(3 - 4x)
18x - 2 = 99 - 21 + 28x
18x - 28x = 99 - 21+2
-10x = 80
x = -8
12. 6(5k - 8) - 20 = 11(2k - 3) + 3k
30k - 48 - 20 = 22k - 33 + 3k
30k - 68 = 25k - 33
30 - 25k = -33 + 68
5k = 35
k = 7
13. - x - (13 + 4x) = -3(5 - 9x) + 2
-x -13 - 4x = -15 + 27x + 2
-5x - 13 = -13 + 27x
-13 + 13 = 27x + 5x
0 = 32x
x = 0
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. -3x+2y - 3x-6y = 9
A) Subtract to eliminate y.
B) Add to eliminate x.
C) Subtract to eliminate x.
D) Add to eliminate y.
Answers
Answer:
B
Step-by-step explanation:
-3x + 2y = ? You forgot to put what this equals, but it does not matter.
3x + 6y = 9
9y = ?
When we add -3x and 3x the x's drop out.
What is the value of m?
Answers
Answer:
4
Step-by-step explanation:
m + 8 = 3m
8 = 2m
4 = m
A student randomly draws a card from a standard deck of 52 cards. He records the type of card drawn and places it back in the deck. This is repeated 20 times. The table below shows the frequency of each outcome.
Outcome Frequency
Heart 6
Spade 4
Club 7
Diamond 3
Determine the experimental probability of drawing a diamond.
Answers
Experimental probability of drawing a diamond = Frequency of drawing a diamond / Total number of trials
Experimental probability of drawing a diamond = 3 / 20
Experimental probability of drawing a diamond = 0.15 or 15%
Therefore, the experimental probability of drawing a diamond is 15%.
A ___ equation is a second-degree equation of the form ax^2+bx+c=0 where a ≠ 0
Answers
Answer:
A quadratic equation is second degree equation with the standard form ax^2+bx+c=0 as the highest power is 2.
__________________.
a teacher is experimenting with computer-based instruction. in which situation could the teacher use a hypothesis test for a population mean? group of answer choices
Answers
The teacher could use a hypothesis test for a population mean in the following situation:
The teacher wants to determine if computer-based instruction has a statistically significant effect on the average test scores of students in the class. The teacher can collect a sample of test scores from students who received computer-based instruction and a sample of test scores from students who did not receive computer-based instruction. Then, the teacher can use a hypothesis test for the population mean to compare the mean test scores of the two groups and determine if the difference is statistically significant.
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Complete question:
teacher is experimenting with computer-based instruction In which situation could the teacher use a hypothesis test for a ifference in two population means?
O The teacher uses a combination of treditional methods and computer based instruction She asks students # they lked computer based instruction better She wants to determine if the maorty prete the computer-based instruction
O She gives each student a pretest Then she teaches a lesson using a computer program Afterwards, she gives each student a postest The teacher wants to see f the difference in scores willshow an improvement 。
She ran om y d des the class into t goups One gup ecerves computer based instruction The other group recen es tradit na n rete wit t copters Ahe rst eten een student ha to solve a single problem. The teachers wants to compare the proportion of each group who can solve the problem 。She gives each student a pretest he then randomly dvides the class mto two groups.
Ο e group receves compte based i struct . The other go p eceves tradtind rst cto with t computers After instruction each student takes a post test. The teacher compares the improvement in scores (post test minus pretest) in the two groups