Answer:
D
Step-by-step explanation:
The sum to n terms of an arithmetic series is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 12, d = 4 and n = 30 , then
[tex]S_{30}[/tex] = [tex]\frac{30}{2}[/tex] [ (2 × 12) + (29 × 4) ]
= 15(24 + 116)
= 15 × 140
= 2100 → D
The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100, therefore the correct answer is D.
What is the Sum of arithmetic series?The sum of n terms of an arithmetic series can be easily found using a simple formula which says that, if we have an arithmetic series whose first term is a and the common difference is d, then the formula of the sum of n terms of the arithmetic series is as follows
Sn = n/2 [2a₁ + (n-1)d].
as given in the problem
a₁ =12, d = 4, and n = 30
Sn = 30/2 [2×12 + (30-1)×4]
= 2100
The sum of the arithmetic series given a₁ =12, d = 4, and n = 30 is 2100.
Learn more about the arithmetic series from here
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Segment A'B' is parallel to segment AB.
What is the length of segment AB?
Answer:
7.5
Step-by-step explanation:
5/6=x/9
cross multiply
6x=45
x=45/6
x=7 3/6 = 7 1/2 = 7.5
Help me I need the answer for x
Answer:
60=x
Step-by-step explanation:
please please help me
Answer:
Step-by-step explanation:
1]Add 6 to both sides.
x/3=20+6
2] x/3=26
3]Multiply both sides by 3.
x= 26*3
x= 78
Anthony works at a company where he gets a set 5% raise every year. If his current salary is
$71,000, what will his salary be in 13 years?
If necessary, round your answer to the nearest cent.
Find the coordinate point for D that would make ABDC a rhombus.
Point A (2,2)
Point B (3,4)
Point C (4,1)
Point D (?)
A. (5,4)
B. (5,2)
C. (5,3)
D. (3,0)
Answer:
(5,3)
Step-by-step explanation:
I took the test and go it right!
The coordinate point for D is (5, 3). Therefore, option C is the correct answer.
What is a rhombus?A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square. Look at the image below to understand the relationship of rhombus shape with parallelogram and square.
Given that, Point A (2,2), Point B (3,4) and Point C (4,1)
The coordinate point for D that would make ABDC a rhombus.
So, the coordinate point for D is (5, 3).
Therefore, option C is the correct answer.
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Mr. Lawrence tutored 5 students prior to the last math test. The list below shows the grades the students made. What is the mean absolute deviation of the grades rounded to the nearest hundredth? Grades: 86, 60, 72, 94, 100
Answer:
I think it might be 22.40
Step-by-step explanation:
WELL, I NEED HELP AGAIN 3.0
Answer:
up by 4 left by 2
Step-by-step explanation:
can someone help me please.
Answer:
option 3 is the answer
.......
In a week tracy earns 12.45$ less than twice the amount kayla earns tracy earns 102.45$ how much does kayla earn
convert 40/99 into a decimal round to the nearest tenth if possible
Answer:
.40
Step-by-step explanation:
convert the fraction to a decimal by dividing the numerator by the denominator.
what does y = -10x + 80 look like on a graph?
Answer:
I posted a picture on how it looks
Step-by-step explanation:
Hope this Hlepd
10v+6=-54
What is happening to the variable?
How do you solve for the variable?
can someone please help me with this, ill give you brainiest, I rlly need help!!
Answer:
y-2=-6(x-1)
Step-by-step explanation:
Answer:
y=-6x+8
Step-by-step explanation:
What is the value of x that makes this figure correct? *
Answer:
27
Step-by-step explanation:
2x+3x+45=180
5x=135
x=27
What is solution to the inequality -8x - 15 > 9
A. x > 3
B. x -3
D. x < -3
Answer:
D
Step-by-step explanation:
Which is x < -3
Answer:
D. x < -3
Step-by-step explanation:
-8x - 15 > 9
-8x > 9 + 15
-8x > 24
-x > 24 ÷ 8
-x > 3
x < -3
Pls help me ill mark branliest
Answer:
She shouldn't tip at all since that's a ridiculous concept
Step-by-step explanation:
common sense
SORRY MADE A MISTAKE WITH THE CALCULATOR I KNEW I MESSED SOMETHING UP
The cost of the meal was $22 so that's the price plus tax and tax is 10% of the price so
cost = price + 0.1*price
cost = 1.1 * price
price = cost / 1.1
price = 22 / 1.1 = 20
now we need 20% of that so that's
20 * 0.2 = 4
If she's simple-minded enough to tip that would amount to $4
i need explanation and the answer!
Answer:
Its C the reason why because If it was D it will just be a waste of miles And C is lower than 11 We want it low not high
Pocahontas wants to buy a tennis racket that is 70% off. The original price is $156.33. What is amount of discount (nearest penny)?
What is the sale price (nearest penny) please show your work
1. You could plug this into the calculator as either 70% of 156.33 or 0.7 × 156.33, but either way you know the discount is going to be $109.43
2. We got the discount, so all you have to do is subtract it from the original. 156.33 - 109.43 = $46.90 which is the sale price! I hope this helps
Can someone please help me out:(((
Answer:
hey there i think ur answer would be D it makes the most sense! HAVE A GOOD DAY!
Step-by-step explanation:
find the area of a circle with a radius of 2cm
Answer:
12.566
12.6 (simplified to the tenths)
12.57(simplified to the hundredths)
Step-by-step explanation:
The diameter of a circle is always double of the radius
π is always ≈ 3.14
π * 2^2 = π * 4 ≈ 12.566
1) 2x+y=4
2) 8x+y=-6
3) -3x+y=5
4) -x+y=-10
5) 4x-y=4
Can you guys lmk how to solve for y ? step by step
and if the equation has a negative sign in front do you still solve it the same way as the others ? am really confused please help!
y=-2x+4
y=-8x-6
y=3x+5
y=x-10
y=4x-4
Step-by-step explanation:
these questions require a series of equations in order to solve but if you are asking for them to be rearranged
Parker simplified the expression y2-5 (y+y2+8y+16/y+4)-12 as shown below. Which statement best describes Parker's error?
Answer:
he distributed -5 incorrectly
Answer:
D one Edge 2021 ;))
Step-by-step explanation:
Two numbers have a sum of 12 and a difference of 4. What is the smaller of the two numbers?
Please help! I will mark brainliest if you are correct
Solve each expressions for u and match them with their appropriate value.
Answer:
u=1
u=2
u=3
u=4
Step-by-step explanation:
trust me i am in 8th grade
Write an equivalent expression by distributing the "-−" sign outside the parentheses:
-(-1.5q+5r)+2
Answer:
1.5q - 5r = 2
Step-by-step explanation:
All you need to do here is negate each term inside the brackets, which allows you to get rid of the minus sign and the brackets.
-(-1.5q + 5r) = 2
is exactly the same as saying:
-1 × (-1.5q + 5r) = 2
And if we multiply each term in the brackets by negative one, we get:
(1.5q - 5r) = 2
And now the brackets can go, leaving you with:
1.5q - 5r = 2
150 miles to 4 hours ratio
Answer:
150 miles to 4 hours ratio is 75:2
Step-by-step explanation:
Can you explain how you got the answer too because I don’t understand
Answer:
60
Step-by-step explanation:
The whole thing is 180 so if you subtract 180 from 120 you get 60.
Answer:
60 degrees since a straight line is 180 degrees
Step-by-step explanation:
Since part of it is 120 degrees the other part must be 60 because 120 + 60 = 180
what does x equal in this equation -5x + 8 = -2
Answer:
x = 2
Step-by-step explanation:
-5x + 8 = -2
-5x + 8 - 8 = -2 -8
-5x = -10
-5x/5 = -10/5
-x = -2
x=2
Simplify the equation:
-5x = 2 + 8
-5x = 10
x = -2
The table represents a linear function. The rate of change between the points (–5, 10) and (–4, 5) is –5. What is the rate of change between the points (–3, 0) and (–2, –5)?
x
y
–5
10
–4
5
–3
0
–2
–5
–5
Negative StartFraction 1 Over 5 EndFraction
One-fifth
5
Answer:
use the slope formula y2-y1/x2-x1 and you should get -5-0/-2+3= -5 which means the rate of change should be 5
Answer:
5
Step-by-step explanation: