Answers
Answer:
If your good at math plz help me
i think this is the answer, hope A(-3)=n-5
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Work Shown:
[tex]a_1 = -3 = \text{ first term}\\\\d = -5 = \text{ common difference}\\\\a_n = a_1 + d(n-1) = \text{ nth term}\\\\a_n = -3 + (-5)(n-1)\\\\a_n = -3 -5n + 5\\\\a_n = -5n + 2\\\\[/tex]
The common difference is due to us adding -5 to each term to get the next one. Example: -3+(-5) = -8, or -8+(-5) = -13.
--------------------
As a way to check if we have the correct nth term formula, plug in values of n to see if we get the correct sequence value
For instance, if n = 1, then
[tex]a_n = -5n+2\\\\a_1 = -5(1)+2\\\\a_1 = -5+2\\\\a_1 = -3\\\\[/tex]
Which matches with the first term given to us.
Or if n = 2, then,
[tex]a_n = -5n+2\\\\a_2 = -5(2)+2\\\\a_2 = -10+2\\\\a_2 = -8\\\\[/tex]
That matches the second term given to us. I'll let you check the others.
Related Questions
Estimate the sum of 872 and 121 by rounding both values to the nearest hundred. What is the best estimate of the sum? 700 800 1,000 1,100
Answers
The answer is 1000
Step-by-step explanation:
Because 872 rounded is 900 and 121 rounded is 100 add 900 and 100 it's a thousand.
So can someone just kinda do these
Answers
Answer:
1.) -5/4
2.) 2
3.) 7/3
4.) 4
5.) -6
6.) -1
7.) 5/3
8.) -4
9.) 2
Step-by-step explanation:
this is what i got i hope they are all right
slope formula: (y2 - y1) / (x2 - x1)
The personnel files of all eight employees at the Pawnee location of Acme Carpet Cleaners Inc. revealed that during the last six-month period they lost the following number of days due to illness:
3 1 0 0 2 11 5 3
All eight employees during the same period at the Chickpee location of Acme Carpets revealed they lost the following number of days due to illness:
3 6 8 4 4 5 3 1
a. Calculate the range, mean and mean deviations for the Pawnee location and the Chickpee location. (Round mean and mean deviation to 2 decimal places.) Pawnee location Chickpee location Range Mean
b. Based on the sample data, which location has fewer lost days?
c. Based on the sample data, which location has less variation?
Answers
Answer:
a) For Pawnee:
Range = 11, Mean = 3.13, Mean deviation = 2.44
For Chickpee:
Range = 7, Mean = 4.25, Mean deviation = 1.59
b) Pawnee Location has fewer lost days.
c) variation of the Chickpee is less than Pawnee location
Step-by-step explanation:
Data given:
For Pawnee:
3 1 0 0 2 11 5 3
Max = 11
Min = 0
Range = Max - Min
Range = 11-0 = 11
Range = 11
For Chickpee:
3 6 8 4 4 5 3 1
Max = 8
Min = 1
Range = Max - Min
Range = 8 - 1
Range = 7
For mean of Pawnee:
Mean = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3)/8
Mean = 25/8
Mean = 3.125
For mean deviation, we find the difference from the mean of each point.
Note: all the negative values will be taken as 0.
Differences from the mean of each point =
(3-3.13)=0.13, (1-3.31) = 2.13 ,
(0-3.13)=0, (0-3.13)=3.13,
(2-3.13)=1.13, (11-3.13)=7.87,
(5-3.13)=1.87, (3-3.13)=0.13
So, our differences are:
(0.13, 2.13, 0, 3.13, 1.13, 7.87, 1.87, 0.13 )
Mean deviation = Sum of all differences/8
Mean deviation = (0.13+2.13+3.13+3.13+ 1.13+ 7.87+ 1.87+ 0.13)/8
Mean deviation = 2.44
For mean of Chickpee:
Mean = (3+6+8+4+4+5+3+1)/8
Mean = 34/8
Mean = 4.25
Similarly, we need to find mean deviation for Chickpee, for that we need to find the differences first as done above for Pawnee.
Note: all the negative values will be taken as 0
Differences from the mean:
(3-4.25) = 1.25, (6-4.25) =1.75,
(8-4.25) = 3.75, (4-4.25)=0.25,
(4-4.25)=0.25, (5-4.25)= 0.75,
(3-4.25)=1.25, (1-4.25) =3.25
So, the differences are:
Differences = (1.25,1.75,3.75,0.25,0.25,0.75,1.25,3.25)
Mean deviation = (1.25+ 1.75+ 3.75+ 0.25+ 0.25+ 0.75+ 1.25+ 3.25)/8
Mean deviation = 1.59
b) which location has fewer lost days:
This can be found out by the total number of days of Pawnee and chickpee.
Pawnee = Sum of values = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3) = 25 days
Chickpee = Sum of values = (3+6+8+4+4+5+3+1) = 34 days
Hence, Pawnee Location has fewer lost days.
C) which location has less variation?
Formula for variation = ∑([tex]\frac{x^{2} }{8}[/tex]) - ([tex]mean^{2}[/tex])
where x = values of the set.
For Pawnee:
[tex]mean^{2}[/tex] = [tex]3.13^{2}[/tex] = 9.8
Sum of square of all the data points of Pawnee = 169
Variation = 169/8 - 98 = 11.325
Similarly,
For Chickpee:
[tex]mean^{2}[/tex] = [tex]4.25^{2}[/tex] = 18.06
Sum of square of all the data points of Chickpee = 176
Variation = 176/8 - 18.06
Variation = 22-18.06
Variation = 4
Hence, variation of the Chickpee is less than Pawnee location
If (-x^2 + y^2) is subtracted from (x^2 + y^2), the difference is
A.2x^2
B.0
C. -2x^2
D. —2x^2– 2y^2
Answers
Answer:
If [tex](-x^2 + y^2)[/tex] is subtracted from [tex](x^2 + y^2)[/tex], the difference is: [tex]\mathbf{2x^2}[/tex]
Option A is correct option.
Step-by-step explanation:
If [tex](-x^2 + y^2)[/tex] is subtracted from [tex](x^2 + y^2)[/tex], we need to find the difference.
When finding the difference the term after from comes first.
We can write:
[tex](x^2 + y^2)-(-x^2 + y^2)[/tex]
Now finding difference:
Multiply minus sign with terms inside the bracket
[tex]=x^2 + y^2+x^2 - y^2[/tex]
Now combine the like terms
[tex]x^2 +x^2+ y^2 - y^2\\=2x^2+0\\=2x^2[/tex]
So, If [tex](-x^2 + y^2)[/tex] is subtracted from [tex](x^2 + y^2)[/tex], the difference is: [tex]\mathbf{2x^2}[/tex]
Option A is correct option.
HELP PLEASEEEE IM BEGGING YOU
Answers
Answer:
40
3
9
70
6
7
10
2
42
8
Step-by-step explanation:
let's hope i didn't read naything wrong
Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in:
3 hours 6 minutes?
Answers
Answer:
He will bike 26.87 miles.
Step-by-step explanation:
Given:
Jordan bikes at a speed of 8 2/3 mph.
Now, to find the distance he will bike in 3 hours and 6 minutes.
Speed =
Time = 3 hours and 6 minutes
=
As, 60 minutes = 1 hour.
=
Solve
for x
2(2x + 1) -10=4
Help please and thank you
Answers
Answer: 3
Distribute
Subtract the numbers
Simplify
6 12 5 7 7 3 9 mean median range
Answers
Answer: Mean:7 Median 7 Range:9
Step-by-step explanation:
HELP ASAP HELP NEEDED WILL MARK BRAINIEST
Answers
Answer:
No
Step-by-step explanation:
The height of the chair can be represented as a function of the height of table, if there is a constant variation between both heights. That is as one height increases, the other height decreases at the same proportion.
From the table, as the table height increases from 71 to 72 to 74 to 75, the chair height increases from 42 to 43 to 44 to 46. There is a direct variation but it is not constant. From 71 to 72, the height of table increases by 1 cm but from 74 to 75, the height increases by 2 cm.
Hence the height of the chair can not be represented as a function of the height of table
For the right triangle find the missing length. Round your answer
to the nearest tenth.
Answers
Answer:
w = 5
Step-by-step explanation:
In the given right triangle, by trigonometric ratio, we have:
[tex] \tan \: 60 \degree = \frac{5 \sqrt{3} }{w} \\ \\ \sqrt{3} = \frac{5\sqrt{3}}{w} \\ \\ w = \frac{5 \cancel {\sqrt{3}} }{ \cancel {\sqrt{3}} } \\ \\ w = 5[/tex]
simplify-18z3 +(-15z3)
Answers
Answer:
-18z3+(-15z3)
-18z3-15z3
-33z6
Help me out here pleaseeeeeee
Answers
Answer:
option C
Step-by-step explanation:
(6+3)= 9
9 × 4= 36
36-2= 34
hope it helps! please make me brainliest..
Thank you! Have a good day ahead!
Answer:
(6+3)*4-2
Step-by-step explanation:
(6+3)*4-2
9*4-2
36-2
34
PEMDAS
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
t/(-11) = 11 what does t =
Answers
Answer:
t=-121 is the correct answer
Given that R= 7x + 7y
Find r when y = 2 and R=8
find x
Give your answer as a fraction in its simplest form.
Answers
Answer:
Step-by-step explanation:
564/5
PLS HELP BRAINLIEST AND EXTRA POINTS !
What is the ratio of the total coins in Andrew's coin jar to the total coins in Staci's coin jar?
A. 98:51
B. 49:78
C. 1:1
D. 51:98
Answers
Answer:
D
Step-by-step explanation:
4 + 12 + 18 + 68= 102/2 51
40 + 28 + 52 + 76= 196/2 98
51:98
Can somebody show me how to do this?
Answers
Answer: = 4x − 5x − 1 Hope this helped
Step-by-step explanation:
When is subtraction always the first operation done in an expression?
A Never
B When it follows addition in an expression.
C When it is the first operation in an expression, from left to right.
D When it is in parentheses in an expression.
Answers
Answer:
b
Step-by-step explanation:
t
The order of operations tells us the correct steps for solving a math problem.
PEMDAS
1. Parentheses
2. Exponents
3. Multiplication
4. Division
5. Addition
6. Subtract
Subtraction is the last step, so if none of the 5 steps before it are in the equation, then that is when you will do subtraction first.
Julio tested the point (4, –2) to see whether it is a solution to this system of equations.
–3x – 2y = –8,
y = 2x – 5
His work is shown below.
Negative 3 (4) minus 2 (negative 2) = negative 8. Negative 12 + 4 = negative 8. Negative 8 = negative 8. Therefore, (4, negative 2) is a solution to the system.
Did Julio verify the solution?
No. He substituted 4 and –2 for the wrong variables.
No. He did not check the point in the second equation.
No. He simplified the equation incorrectly.
Yes. He verified that (4, –2) is a solution to the system of equations.
Answers
Answer:
the answer is B on edge
Step-by-step explanation:
B. No. He did not check the point in the second equation
can i get brainly so i can rank up?
Answer:
Like I said B
Step-by-step explanation:
Is this positive trend or negative trend or no trend
Answers
Answer:
No trend
Step-by-step explanation:
In this scatter graph, all of the points are just scattered over a wide range. There's no real trend/correlation, so there's no trend.
Answer:
the answer is no trend bc ..
Step-by-step explanation:
the points are scatters and aren't in a specific pattern
Which property is illustrated by the statement 6 X 4=4 X 6?
Answers
Answer:
Commutative property
Step-by-step explanation:
One quarter of my weekly allowance is $1500.
How much do I collect for allowance each year?
show working please
Answers
Answer:
312,000
Step-by-step explanation:
1500×4 (since the 1500 is only a quarter)
6,000 per week
6,000x52(since 52 weeks in a year)
312,000
2) If $1500 is 1/4 of your weekly allowance than your total weekly allowance would be 1500 x 4 which is $6000
There’s 52 weeks in a year
6000 x 52= 312,000
So your yearly allowance is $312,000
Contemporain management
Answers
Answer:
This term denotes the modern techniques to administrating people in business organizations, government bodies, or non-profit organizations. The "contemporary" indicate the relation to the present and up-to-date trends in the sphere of management. It means that the person who is involved in contemporary management should be aware of the recent variations of the management theory and implement the changes in their organizations. Modern managers should be resilient and adaptive so that they are ready to incorporate the newest developments in practice.
Step-by-step explanation:
Other than that I don't know what you are asking for.
What is the pow of a
4.5 x 10-3 M OH solution?
Answers
Answer:
p O H = 2.35
Step-by-step explanation:
Are the following functions linear or nonlinear? Drag the tiles to complete the statements.
Tiles may be used once, more than once, or not at all.
Answers
Answer:
I don't see anything like a graph or anything.
Answer:
Need help
Step-by-step explanation:
Find the value of 3_5
Answers
Answer:
The answer is 243.
Step-by-step explanation:
[tex] {3}^{5} \\ 3 \times 3 \times 3 \times 3 \times 3 \\ 9 \times 3 \times 3 \times 3 \\ 27 \times 3 \times 3 \\ 81 \times 3 \\ 243[/tex]
Can someone help me find the complete square please?
Answers
Answer:
x= +-6 squareroot 2-10
Step-by-step explanation:
[tex]x=+-6\sqrt{2} -10[/tex]
11.) Is the equation below linear or nonlinear?
Y=9x-5
Answers
Answer:
liner
Step-by-step explanation:
Your grandfather gave you $13.50 with which to buy a present. This covered 5/6 of the cost. How much did the present cost?
Answers
Answer:
Step-by-step explanation:
5/6 x = 13.50 Multiply both sides by 6
5x = 13.50 * 6
5x = 81 Divide by 5
x = 81/5
x = 16.2
Matt paid $450 in interest on a 15 month note for
$5600. Find the rate of interest paid.
Answers
Answer:
The rate is 6.43%
Step-by-step explanation:
Given
[tex]I = 450[/tex] --Interest
[tex]P = 5600[/tex] -- Principal
[tex]T= 15\ months[/tex] --Time
Required
Determine the rate
Using simple interest formula:
[tex]I = PRT[/tex]
Make R the subject
[tex]R = \frac{I}{PT}[/tex]
Convert time to years
[tex]T= 15\ months[/tex]
[tex]T =\frac{15}{12}\ years[/tex]
[tex]T =1.25\ years[/tex]
Substitute values for I, P and T
[tex]R = \frac{450}{5600*1.25}[/tex]
[tex]R = \frac{450}{7000}[/tex]
[tex]R = 0.0643[/tex]
Convert to percentage
[tex]R = 0.0643*100\%[/tex]
[tex]R = 6.43\%[/tex]
What is the length of the segment shown below. Round your answer to the nearest hundredth. (2,5) (-4,-1)
Answers
Answer:
Step-by-step explanation:
use the distance formula Emily P1=(x1,y1)=(2,5) P2=(x2,y2)=(-4,-1)
d = [tex]\sqrt{(x2-x1)^{2}+ (y2-y1)^{2} }[/tex]
d = [tex]\sqrt{6^{2}+ 6^{2} }[/tex]
d = 8.48528
d = 8.49