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
https://brainly.com/question/16415816
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Before the celebration for
Groundhog Doy, the city
set up on hexogonal
barner around the park. If
each side of the barrier
was 145 yards long, how
mony feet of fencing were
used to create the barrier?
Answer:
Doin it for the bag!!
I need help with this question.
The question is :
Find the distance between the points (-4.4, 9.9) and (-4.4, -5.6).
Answer:
14.3 and -1.2
Step-by-step explanation:
To find the distance between both points subtract the larger point from the smallest and that should give you the answer.
(06.02)
The graph shows the number of hours driving and the distance from home:
Road Trip
350
300
250
200
Distance from Home
150
100
50
0
10 1
2.
3 4 5 6
Hours Driving
Which statement best describes the relationship between the number of hours driving
a
As the hours driving increases, the distance from home decreases
Ob
As the hours driving increases, the distance from home increases.
As the hours driving decreases, the distance from home increases
No relationship can be determined.
Answer:
The answer is B.)
Step-by-step explanation:
Step-by- step explanation:
Answer:
The answer is B because it is the one that makes the most sense.
Step-by-step explanation:
Jessica is doing an obstacle course in gym class. First, she runs 100 feet and jumps over a hurdle. Then, she crawls through a 20-foot tunnel. Finally, she dribbles a soccer ball 60 feet to the finish line. How many yards long is the obstacle course
Answer:
60 yards
Step-by-step explanation:
100 + 20 + 60= 180 ft
180 feet contributed into yards is 60.
Answer:
60
Step-by-step explanation:
Select two ratios that are equivalent to 8:20
Answer:
The answer is B, C, and D
Step-by-step explanation:
If you simplify each of those ratios, they'll be equivalent
Answer:
B and C
Step-by-step explanation
The first one is B because 2/8 is 4 and 10/20 is 10
The second one is C because 8x3 is 24 and 20x3 is 60
My teacher always says everything you do to one side you have to do to the other :)
Hope this helps! :D
Bath and body works sells a scented candle that urns 1/8 of an inch in every 1/4 of an hour. How many inches would the candle burn after one hour please show the work if it right you will get brainlist
Answer:
1/2 of an inch will be burned in 1 hour.
Step-by-step explanation:
Answer:
ID.K! So sorry for random answer! :)
Step-by-step explanation:
please help.. this is so difficult..
The Martinez family ate at a restaurant.
The cost of the meal was $34.50.
The sales tax was 6% of the cost of the meal.
They left a tip of 15% of the cost of the meal plus tax.
What was the total cost of the meal, tax, and tip?
Answer:
$42.06
Step-by-step explanation:
step 1: find the 6% of 34.50; by multiplying 34.50 x 0.06 ( 0.06 = 6/100 or 6%).
34.50 x 0.06 = 2.07
Step 2: 2.07 + 34.50 = 36.57 -----Total cost of meal + 6% tax.
Step 3: find 15% of 36.57
36.57 x 0.15 = 5.4855
Step 4: 36.57 + 5.49 (rounded because money only has two decimal places)
Answer:
$42.06
find the exact trig value [tex]cos(11\pi /6)[/tex]
The Teknomite Corporation must appoint a president, chief executive officer (CEO), a chief operating officer (COO). It must also appoint a planning Committee with three different members. There are eight qualified candidates, and officers can also serve on the committee. How many ways can the officers be appointed? How many different ways can the committee be appointed?
Answer:
336 ways ;
56 ways
Step-by-step explanation:
Number of ways to have the officers :
Number of qualified candidates, n = 8
Number of officer positions to be filled = 3
A.)
Using permutation (since the ordering matters):
nPr = n! ÷(n-r)!
8P3 = 8! ÷ (8-3)!
8P3 = 8! ÷ 5!
8P3 = (8*7*6)
8P3 = 336 ways
B.) Different ways of appointing committee: (ordering doesn't count as officers can also be appointed)
Using the combination relation :
nPr = n! ÷(n-r)!r!
8C3 = 8! ÷ (8-3)! 3!
8C3 = 8! ÷ 5!3!
8C3 = (8*7*6) ÷ (3*2*1)
8C3 = 336 / 6
8C3 = 56 ways
AB is the angle bisector of CAD. Solve for the missing variable?
Answer:
[tex]x=8^\circ[/tex]
Step-by-step explanation:
A bisector is the line that divides an angle (which in this case is [tex]\angle CAD[/tex]) exactly in half. Therefore, [tex]\angle CAB = \angle BAD[/tex] and as such we can solve for [tex]x[/tex]:
[tex]\angle CAB &= \angle BAD\\33^\circ &= 4x + 1^\circ\\4x = 32^\circ\\x = 8^\circ[/tex]
and we are done.
This figure consists of a rectangle and a quarter circle.(GIVING BRAINLIEST!)
What is the perimeter of this figure?
Use 3.14 for π.
Enter your answer as a decimal in the box.
(Brainliest if you answer)
Answer:
around 66.56? i might have missed a side.
Step-by-step explanation:
12.56+10+10+17+8+9
PLZ HELP ME I BEG OF YOU!?!
Answer:
5/9
[tex] \frac{5 \div 9}{4 \div 15} = \frac{5 \times 15}{9 \times 4} = \frac{25}{12} [/tex]
A person places 1 penny in a piggy banking the first day of the month,
Answer: What’s the rest of the question?
Step-by-step explanation:
In triangle GHJ, mH = 85° and mG = 60°.
Choose the correct symbol to put in the blank.
HJ ___ JG
<
=
>
Answer: The correct symbol is '<'.
Step-by-step explanation:
Given: In triangle GHJ
[tex]m\angle H=85^{\circ}[/tex] and [tex]m\angle G=60^{\circ}[/tex]
Here angle H is opposite to side JG and angle G is opposite to side HJ
We know that,
The side opposite to the greater angle of a triangle is greater.
Since [tex]m\angle H> m\angle G[/tex]
Then, JG > HJ
Hence, HJ < JG
34. A vessel is in the the form of a hemispherical bowl mounted by a hollow cylinder The diameter
of the sphere is 3.5 m and the height of the cylinder is 2 m. Find the volume of vessel
Answer:
[tex]V=20.85\ m^3[/tex]
Step-by-step explanation:
Given that,
The vessel is in the the form of a hemispherical bowl mounted by a hollow cylinder.
The diameter of the sphere is 3.5 m.
The height of the cylinder is 2 m
Height of the cylinder = Height of bowl− Radius of hemisphere
= 2 - (3.5/2)
= 0.25 m
The volume of the vessel is given by :
V = volume of hemispherical bowl + volume of cylinder
So,
[tex]V=\dfrac{2}{3}\pi r^3+\pi r^2 h\\\\V=\dfrac{2}{3}\times \dfrac{22}{7}\times (\dfrac{3.5}{2})^3+\dfrac{22}{7}\times (3.5)^2\times 0.25\\\\V=20.85\ m^3[/tex]
So, the volume of the vessel is [tex]20.85\ m^3[/tex].
) Which expression is equivalent to 150 + 20?
5(3C+4)
15(c +20)
15(C+4)
5(3C + 20)
Need help ASAP
which point could represent 5 over 3?
Answer:
I think D, I am not sure though
Step-by-step explanation:
Answer:
5/3 is 5÷3 = 1.666666. point C is closest to 1.67.
28, 30, 24, 96, 33
Mean
Range =
Median =
IQR =
Mode =
Variance
Midrange=
Standard Deviation=
Answer:
I know some .
median : 24
Step-by-step explanation:
Mean : you add all of them up then divide by how many numbers there are .
range : the biggest number minus the smallest number .
median : the middle number . the middle number is 24 .
I know what is mode but the answer is not in there
WILL GIVE BRAINIEST!!!!!!
Answer:
The answer is y = x
Hope this helps!
The following table shows the number of fire hydrants in each neighborhood overseen by Fire District 9
Answer:
15
Step-by-step explanation:
The median, is just the middle number in a set of numbers.
In this case, our set is: 17, 8, 15, 21, 12.
However, the set must be in increasing order, so the set becomes: 8, 12, 15, 17, 21.
This gives us the median, which is the middle number, to be: 15.
Let me know if this helps!
Answer:
DO NOT PUT 10 PUT 15 OK
Step-by-step explanation:
I DID THE KHAN
PPEEEEEEEEEEEEEE
Consider parallelogram ABCD. If AC¯¯¯¯¯¯¯¯=2x+15 and BD¯¯¯¯¯¯¯¯=5x−12, what does the value of x need to be so that the parallelogram is a rectangle?
A: 1
B: -9
C: 9
D: 3/7
Answer:
9
Step-by-step explanation:
I took the quick check
Solve. t6^2−8t=−15 Enter your answers in the boxes. t = or
1 pts
Find the value of m.
28
(10m - 30)
Enter your answer with one decimal place.
joe is going to use a random number generator 500 times. Each time he uses it,he will get 1,2,3,or 4
Answer:
Okay, so whats the question?
Step-by-step explanation:
Can you help me please
Answer:
what do you need help with?
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Slope formula is Δy/Δx or (change in y)/ (change in x).
Apply that formula:
You know that 1-(-1) = 2, therefore for a slope of 1/5, the only possibile denominator is 10: 2/10 simplifies to 1/5.
So. What subtracted by 6 is equal to 10? 16.
1-4.2x + 3y - 9 + 5x + y
how many terms are in this expression
Answer:
because
Step-by-step explanation:
ANSWER ASAP PLSSS
Write a speech for/against the motion, "Pets are worth the responsibility."
- Have 6 paragraphs.
- Avoid repeating yourself.
- Make the strongest arguments possible – you can include facts / statistics / etc.
- Language should be formal..
vbbbbbbbbbbbbbbbbbdnnnnnAnswer:
Step-by-step explanation:
which is the best unit to measure the distance between califronia and new york
Answer:
Miles would be the best.
Step-by-step explanation:
Miles are the largest way to measure land, so I would use that.
Miles
When measuring that far of a distance, you want to use the largest unit of measurement, because measuring in inches or centimeters is unrealistic.
Hope this helps! Good luck! :)
The dance committee of pine bluff school earns$72 from a bake sale and will earn $4 for each ticket they sell to the spring fling dance. The dance will cost $400
make d the subject of the formula h= d/3 +2
Answer:
d = 3h - 6
Step-by-step explanation: