Answer:
-8, -4, 0, 4, 8, 12
Step-by-step explanation:
The nth term Tn of an arithmetic sequence with a common difference d and a first term a is given as
Tn = a + (n - 1) d
Hence if the first term is a and the common difference is d then
the
2nd term = a + 4
3rd term = a + (3 - 1) 4 = a + 8
4th term = a + (4 - 1) 4 = a + 12
5th term = a + (5 - 1) 4 = a + 16
6th term = a + (6 - 1) 4 = a + 20
If the sum of these six numbers is 12 then
a + a + 4 + a + 8 + a + 12 + a + 16 + a + 20 = 12
6a + 60 = 12
collect like terms
6a = 12 - 60
6a = -48
divide both sides by 6
a= -8
the numbers are
a = -8
2nd term = a + 4 = -8 + 4 = -4
3rd term = a + (3 - 1) 4 = a + 8 = -8 + 8 = 0
4th term = a + (4 - 1) 4 = a + 12 = -8 + 12 = 4
5th term = a + (5 - 1) 4 = a + 16 -8 + 16 = 8
6th term = a + (6 - 1) 4 = a + 20 = -8 + 20 = 12
2 ÷ 24.42 = ?
......
.
....
Answer:
12.21
Step-by-step explanation:
The circumference of a circle is 137 m. Find its diameter, in meters.
Step-by-step explanation:
[tex]137 = 2\pi \times r \\ r = \frac{137}{2\pi} = 21.8045232 \\ diameter = 2 \times r = 43.609 \\ = 43.61 \: m[/tex]
PLZ HELP FAST how much will it cost to pump one litre of fuel in to the tank what is the unit rate
Answer:
87 unit rate
Step-by-step explanation:
und frau und
milller
Answer:
87
Step-by-step explanation:
what is 4(5a+b)−9a+3 Simplified
Answer:
11a+4b+3
Step-by-step explanation:
Can someone please answer this I am in need of help? NOW
Answer:
3 and 4
Step-by-step explanation:
a complemantary angle is 2 angles that equal 90* so 3 and 4
I can't simplify
5-2(-4x+10)-5x
Answer:
5-2(-4x+10)-5x----open brackets and multiply
5+8x-20-5x----combine like terms
8x-5x+5-20
3x-15
3(x-5)
Answer:
Simplified : 3x - 15
Step-by-step explanation:
5 - 2(-4x + 10) - 5x
5 + 8x - 20 - 5x
5 + 3x - 20
3x - 15
What is the mean income of the following three people surveyed? Person A: S22,000, Person B: $31,000, Person :
$21,000. Round to the nearest $100
Answer:
$24,700
to get this answer you add all the numbers together so in this case 22,000 31,000 and 21,000 and you get 74,000 then you divide by how many numbers you originally had so in this case 3. so you get 24,666.666666667 and since the tens place is 5 or higher you round the hundreds up one so you get 24,700.
Here's the work
22,000+31,000+21,000=74,000
74,000÷3=24,666.666666667
which rounds to 24,700
what is 3,600 divided by 4
Answer:
900
Step-by-step explanation:
Evaluate log6 base 10+ log45 base 10 - log27 base 10
Answer:
The correct answer is B.
Explanation:
log106 + log1045 - log1027
log10
6
×
45
27
= log102 x 5
log1010 = 1
Step-by-step explanation:
To solve the problem we must know about the properties of logarithms.
What are the Properties of logarithms?There are four basic properties of logarithms:
[tex]\rm log_aU+ log_aV = log_a(UV)[/tex][tex]\rm log_aU - log_aV = log_a(\dfrac{U}{V})[/tex][tex]\rm log_aU^n = n\ log_aU[/tex][tex]\rm log_ab = \dfrac{log_xb}{log_xa}[/tex]The solution to the problem is 1.
Given to us
[tex]\rm log_{10}6+log_{10}45 - log_{10}27[/tex]
Evaluation of the Logarithmic expressionTo solve the problem we will use the [tex]\rm log_aU - log_aV = log_a(\dfrac{U}{V})[/tex] and [tex]\rm log_aU+ log_aV = log_a(UV)[/tex] properties of logarithms, thus the solution to the problem can be calculated as shown below,
[tex]\rm log_{10}6+log_{10}45 - log_{10}27[/tex]
[tex]=\rm {log_{10}(6\times 45)}-{log_{10}27}[/tex]
[tex]=\rm {log_{10}(\dfrac{6\times 45}{27})[/tex]
[tex]=\rm {log_{10}(\dfrac{6\times 45}{27})[/tex]
[tex]=\rm log_{10}10[/tex]
[tex]=1[/tex]
Hence, the solution to the problem is 1.
Learn more about Logarithmic:
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In the accompanying diagram, CD EF, AB is a transversal, m DGH = 2x , and m FHB = 5x - 51. Find the measure, in degress, of BHE??
Answer:17
Step-by-step explanation:
2x=5x−51
−3x=−51
x=
3
51
x=17
how Can I explain that 5/8 2/3 and 3/8 are in order?
1 A baby gains 11 pounds in its first year of life. The baby gained 44 pounds during the first four months and 3 in its second four months. How much did the baby gain in the last four months? 0 3a pounds o 35pounds O 4 pounds O 5 pounds
Answer: 3 1/4 pounds
Isabella is making a display board for the school trip. The display board is 2.50m by 2m rectangle. She needs to cover the entire display board with card. How much card would she needs?
Answer:
5m^2
Step-by-step explanation:
Given data
Length of board= 2.50m
Width of board= 2m
The cover need should have the same area as the board
Area= Length*Width
Area= 2.5*2
Area=5m^2
Hence the area of the cover is 5m^2
Dave receives 10% commission on his first $5000 in sales and receives 20% commission on any sales beyond the first $5000. If dave sells $7000 this month, what will Dave’s commission be for the month?
Answer:
Step-by-step explanation:
it a
Dave’s commission be for the month for sales worth $7000 is $900.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Dave receives 10% commission on his first $5000 and receives 20% commission on any sales beyond the first $5000.
He made sales worth $7000 this month,
Therefore, For the first $5000 he receives,
= (10/100)×5000.
= $500.
And for the rest (7000 - 5000) = $2000 he receives,
= (20/100)×2000.
= $400.
So, In total, he received (500 + 400) = $900
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what law of exponent is shown by (4³)⁴ = 4¹²
11. A man is buying a lot which measures 7,860 square meters. How many
hectares of land is he buying?
A. 78,600 hectares
B. 0.7860 hectare
C. 786,000 hectare
D. 0.07860 hectare
Answer:
C. 786,000 hectare
Step-by-step explanation:
This question can be solved by proportions, using conversion of units.
Each hectare has 10 000 square meters.
So 7,860 square meters is equal to:
7,860*10000 = 786,000 hectares
The answer is given by option C.
The line shown the line of best fit. The slope should and the y-intercept should
the line shown ISN'T the line of best fit. The slope should INCREASE and the y-intercept should REGRESS.
The line shown is not the line of best fit. The slope should increase and the y-intercept should regress.
We have given the graph of the regression line.
What is the graph of the regression line?
Regression lines can be used as a way of visually depicting the relationship between the independent (x) and dependent (y) variables in the graph.
A straight line depicts a linear trend in the data
Therefore, from the graph, we can conclude that,
The line shown is not the line of best fit.
The slope should increase and the y-intercept should regress.
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Describe how the volume of a triangular prism and a triangular pyramid with the same dimensions are related.
Answer:
The relationship between the volumes of pyramids and prisms is that when a prism and pyramid have the same base and height, the volume of the pyramid is 1/3 of the volume of the prism.
Hope this helps!! ;)
volume of the prism is three times the volume of the pyramid with the same dimensions.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Volume of a triangular prism = area of base triangle × length of the prism
The volume of a triangular pyramid = (1/3) × Base Area × Height
The relationship between a triangular prism and a triangular pyramid with equal bases and heights is that the volume of the prism is three times the volume of the pyramid.
Therefore, volume of the prism is three times the volume of the pyramid with the same dimensions.
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List the cofficient in the following expression 3x+4+a+6y
Answer:
it's 3 in 3x and 6 in 6y I think but im not sure i haven't done this in a while
Which of the following is the midpoint between (8, 1) and (-2, -5)?
(2, -1)
(2, -2)
(3, -1)
(3, -2)
Step-by-step explanation:
2,-1
if it helps you then please make me brainliest
Which of the following numbers can be expressed as a decimal that terminates?
9/7, 5/3, 3/2, 6/4
A: 9 over 7 and 5 over 3
B: 5 over 3 and 3 over 2 Which of the following numbers can be expressed as a decimal that terminates?
9 over 7, 5 over 3, 3 over 2, 6 over 4
A: 3 over 2 and 6 over 4
B: 9 over 7 and 5 over 3
C: 5 over 3 and 3 over 2
D: 9 over 7 and 6 over 4
(PLS HELP- CORRECT ANSWER GETS BRAINLIESTT)
The answer to this question is C.
Answer: actual answer is 3 /2 and 6/4 because I used a caculator to find my answer.
Step-by-step explanation:
Noah is a lawyer last year he made 92,000 is he has to pay 22% in income tax what is the amount of income tax he needs to pay
Answer:
i have no idea
Step-by-step explanation:
Directions: Please choose ONE (you may answer all if you would like) question. Make sure to EXPLAIN your work. NO EXPLANATION=NO FULL CREDIT
Is the table proportional? Explain why or why
not.
If it is proportional, what is the constant of
proportionality?
What is the equation?
Answer:
Is the table proportional? Explain why or why not
Step-by-step explanation:
No, because all the ratios of y to x are not equal.
HHEEELPPP me PLEASEE ill mark you brainlyyy
Leslie shows a funny video to 5 of her friends. Every hour, the video
views triple. Leslie shows a funny video to 5 of her friends. Every hour, the video
views triple. How many people saw the video on the 7th hour? many total people saw the video after the 7th hour?
Answer:
10,935 views
Step-by-step explanation:
We can first design a formula for this scenario. Since the views triple this means that the initial views (i) needs to be multiplied by 3. Since this happens every hour we need to raise 3 to the power of the number of hours (h) that has passed by. This would give us the total number of views at that hour. Therefore, the formula would be the following...
i * [tex]3^{h}[/tex]
We can input the values given to us into the formula and solve it for the total number of view. The initial number of views would be 5 (one for each friend) while we are trying to find the total number of views in the 7th hour.
5 * [tex]3^{7}[/tex]
5 * 2187
10,935 views
Adelphi is 34.3 miles east of sterling. The distance between Adelphi and sterling is
Answer:
34.3 miles
Step-by-step explanation:
34.3 miles
Answer:
24.55
Step-by-step explanation:
how to Find the product of 68 x 37
Answer:
our answer will be: 68 x 37 = 2516. To find any product in the future on your own, just remember that ...
Step-by-step explanation:
Answer:
2516
Step-by-step explanation:
multiply 7 by 8 and carry the 5
68
x 37
6
multiply 7 by 6 and add the carried 5
68
x 37
476
multiply 3 by 8 and carry the 2 but skip a space directly under 6 when you write it bc there's 2 digits
68
x 37
476
4
multiply 3 by 6 and add the carried 2
68
x 37
476
+ 204 now add
2516
Angle B has a measure of 2.5 radians. A circle with a radius length of 2.6 cm is centered at Angle B's vertex. What is the length of the subtended arc along this circle?
______ cm
9514 1404 393
Answer:
6.5 cm
Step-by-step explanation:
The length (s) of an arc of a circle of radius r and angle θ is ...
s = rθ . . . . where θ is in radians
For your values, the arc length is ...
s = (2.6 cm)(2.5 radians) = 6.5 cm
The length of the subtended arc is 6.5 cm.
I NEED HELP AND QUICK.
Answer:
D (30)
Step-by-step explanation:
Complete the missing parts of the table for the following function when y=3^x
Answer:
hey there
Step-by-step explanation:
look, i'm not here to answer it, if anything i'm here bc i need ur help. My mom put me in Arron Academy too, but i started a bit later then everybody else, i started in October, and i rlly think i'm rlly behind bc school is about to finish and it says i"m only 33 percent done with geometry... Can you please text me back, my email is