Calculate the sum of the first 50 terms in the sequence.
18, 21, 24, 27, ...
Answers
Answer:
hope this is correct
The sum of the first 50 terms in the sequence 18, 21, 24, 27, ... is 4575.
What is the sum of the sequence?The sum of the sequence can be calculated by the formula
[tex]S_n = n/2(2a +(n-1)d)[/tex]
where a is the first term, d is the common difference
To find the sum of the first 50 terms in the sequences: 18, 21, 24, 27, ...
[tex]S_n = n/2(2a +(n-1)d)[/tex]
here, a = 18
d = 21 - 18 = 3
n = 50
[tex]S_{50} = 50/2(2(18) +(50-1)3)\\S_{50} = 25(36+147)\\S_{50} = 4575[/tex]
Thus, the sum of the first 50 terms in the sequence is 4575.
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Related Questions
Solve for x and y.
A. x = 13.3 y= 16.7
B. x = 13.3. y = 12.5
C. x = 7.5, y = 16.7
D. x = 7.5. y= 12.5
Answers
hey question do you still need help answering this cuz I noticed you posted this a while ago so I'm not sure.....let me know!
Find the area of the shaded region.
Answers
Answer:
A=16
Step-by-step explanation:
A= 1/2*b*h
A=1/2*4*8
A=16
A=16
Explanation
Five multiplied by the sum of 6 and a number is the same as 42 more than the number. Find the number.
If n is "the number", which equation could be used to solve for the number?
Answers
Answer:
number is 3 .equation below
Step-by-step explanation:
5(6+n)=n+42
30+5n=n+42
5n-n=42-30
4n=12
n=3
what is the equation of a line that passes through the point (0,8) and is parallel to a line with a slope of 4/5?
Answers
Answer: The answer is y = 4/5x + 8.
Step-by-step explanation:
There is good reasoning behind why this is the answer. First, if you recall, parallel lines must have the same slope or they will at some point meet. With this information, you can pull from the given material that the slope for the equation you are trying to gather is 4/5.
Then, you can use the given point to find the y-intercept because the x-coordinate is 0 (directly on the y-axis) and your y-coordinate is 8. Your y-intercept is placed as a positive or negative value at the end of the equation (if in slope-intercept form), and because the 8 in the ordered pair is positive, you just need to add +8 to your equation.
With this information, you can conclude that the equation is y = 4/5x + 8.
100pts: A room has 5 statues. You want to break the statues, one by one. In many different orders can you break these 5 statues?
Answers
Answer:
120
Step-by-step explanation:
You break the first statue
There are 5 different ways since there are 5 statues.
Now there are 4 statues left
There are 4 different ways since there are 4 statues.
Now there are 3 statues left
There are 3 different ways since there are 3 statues.
Now there are 2 statues left
There are 2 different ways since there are 2 statues.
Now there is 1 statues left
There is 1 different ways since there is 1 statue.
5*4*3*2*1
Total ways
n!5!5(4)(3)(2)(1)120waysA unicycle wheel has a diameter of 30 inches. How many inches will the unicycle travel in 6 revolutions?
Answers
Answer:
565.2
Step-by-step explanation:
100 points! you just have to answer these all with purpose and try your hardest!
PLEASE HELP ME!! THIS IS ALREADY A WEEK OVERDUE :(((((((((((((((((((((((((((((
A local pet store sells a variety of animal supplies and pet accessories. The pet store has different sections for dogs, cats, birds, fish, reptiles, and other exotic pets.
1. A clerk at the pet store kept track of the number of fish purchased by customers during one week. Mary bought 1 fish, Ari bought 20 fish, Rodney bought 4 fish, Carissa bought 3 fish, Jacob bought 4 fish, Jack bought 1 fish, Jaleesa bought 2 fish, Andrea bought 5 fish, Geoff bought 1 fish, Becky bought 4 fish, Molly bought 1 fish, David bought 2 fish, Gina bought 7 fish, James bought 1 fish, Anessa bought 2 fish, Ted bought 1 fish, Sean bought 2 fish, Kerri bought 11 fish, Sammy bought 3 fish, Jameson bought 2 fish, Theresa bought 2 fish, Luz bought 2 fish, Tracy bought 4 fish, Jackson bought 5 fish, and Celia bought 7 fish.
(a) Complete a line plot that shows how many customers purchased specific numbers of fish. (2 pts)
(b) What number of fish has the highest frequency? (1 pt)
(c) What is the total number of fish purchased during the week? Explain and show your work. (1 pt answer, 1 pt for showing work)
(d) Which value in the data set is an outlier? (1 pt)
(Score for Question 2: ___ of 5 points)
2. The Humane Society has puppies for adoption. The weights, in pounds, of the puppies currently at the Humane Society are 17, 14, 13, 15, 21, 41, 18, 22, 20, 25 and 14.
(a) Create a stem-and-leaf plot of the weights of the puppies. (2 pts)
(b) What is the weight difference between the heaviest puppy and the lightest puppy? (1 pt for answer, 1 pt for showing work)
(c) How many puppies weighed at least 20 pounds? (1 pt)
Answer:
(Score for Question 3: ___ of 5 points)
3. Label all the following values using the box and whisker plot below: (1 point each)
(a) Minimum:
(b) Median (Q2):
(c) lower quartile (Q1):
(d) upper quartile (Q3):
(e) maximum:
(Score for Question 4: _____ of 4 points)
4. A clerk at a pet store kept track of customers who purchased at least one box of animal treats in one week. The following histogram shows how many boxes of treats customers purchased throughout the week.
(a) How many customers purchased animal treats that week? (1 point)
(b) Based on the labelled intervals, what is the maximum number of boxes that could have been purchased? (1 point)
(c) How many customers purchased fewer than 11 boxes of animal treats during the week? (1 point)
(d) From the information on the histogram, could you answer the following question: How many customers purchased 1 box of dog treats? (1 point)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Mary bought 1 fish, Ari bought 20 fish, Rodney bought 4 fish, Carissa bought 3 fish, Jacob bought 4 fish, Jack bought 1 fish, Jaleesa bought 2 fish, Andrea bought 5 fish, Geoff bought 1 fish, Becky bought 4 fish, Molly bought 1 fish, David bought 2 fish, Gina bought 7 fish, James bought 1 fish, Anessa bought 2 fish, Ted bought 1 fish, Sean bought 2 fish, Kerri bought 11 fish, Sammy bought 3 fish, Jameson bought 2 fish, Theresa bought 2 fish, Luz bought 2 fish, Tracy bought 4 fish, Jackson bought 5 fish, and Celia bought 7 fish.
Rewrite the numbers
1,20,4,3,4,1,2,5,1,4,1,2,7,1,2,1,2,11,3,2,2,2,4,5,7
1.
a: I can't draw a line plot, but I can tell you some tips.
Set the x as the different numbers that appear in the set
Set the y as the frequency of each number.
b: 2 fish has the highest frequency.
c: Add the terms. 97 is the total fish been bought
d: The outlier is 20 bought fish
2.
a: When making the stem and leaf plot, do it in this format
1| 7,4,3,5,8,4
and so on.
b: the heaviest puppy is 25 and the lightest is 13
so the range is 12
c: 4 puppies weighed at least 20 pounds
3. There are no following values, but for this I would make a box and whisker plot.
4. There is no histogram but it should be relatively easy if you know which aspect of the graph to use.
a: Find the frequency of each bar and add them.
b: the largest number of boxes is the interval that is the largest
c: Use the graph to find it
d: I can't do this without the graph.
Look at the photo to understand more
19. How many yellow-collared macaws would
have a combined mass of 1 kilogram?
20. Is the combined
mass of two red-footed macaws and three blue and gold macaws closer to 3 kilograms or 4 kilograms? Explain.
21. Which macaw has a mass closest to 1 kilogram?
BEST ANSWER GETS BRAINLESST A FOLLOW AND A LIKE AND 5 STARS ON THERE ANSWER( you don't have to answer all)
Answers
Q20) 3kg as 225 x 2 = 500 plus 800 x 3 = 2400 and 500 + 2400 = 2900 which is closer to 3000g which is 3kg
Q21) the blue and gold macaw as 1kg = 1000g and 800g is closet to that
Help FAST Please. Quite simple and fast Third one
Answers
Answer:A
Step-by-step explanation:
Answer:
It is Transitive Property of Congruence
Hope this helps :)
Can someone help me with this question.
Answers
Answer:
Option A
Step-by-step explanation:
If a football team gains 15 yards on a play, it will be recorded as '+ 15' or '15'.
All other options would be represented by '-15', and not '15' that is asked in the question. A withdraw is taking away money, a number 'below zero' would be negative, and losing 15 points would be represented as '-15'.
Option A should be the correct answer.
Answer:
The answer to your problem is Option A or 1: A football team gains 15 yards on a play.
Step-by-step explanation:
This is the answer because all of the other situations have an integer of -15. Like LOSING points, or 15 meters BELOW all signify that those situations include a negative number. Your question is asking for a positive 15 not negative so Option 1 is the correct answer.
Given the equation (x - 1) ^ 2 + (y + 20) ^ 2 = 196 identify the center and radius
Answers
Answer & Step-by-step explanation:
In order to solve this problem, it is important that we know the original form of this equation.
(x - x1)² + (y - y1)² = r²
The equation we are given is: (x - 1)² + (y + 20)² = 196
Now that we know the original equation and the given equation, then we can conclude that the center of the circle is (1, -20). We can find the radius by calculating the square root of 196.
√196 = 14
So, the radius is 14.
Now, based on the given information, we know that the center of the circle is (1, -20) and the radius of the circle is 14.
20. How many minutes would it take a train to travel
90 kilometers at a constant speed of 120 kilometers per
hour?
F. 30
G. 40
H. 45
J. 80
K. 90
Answers
Answer:
45
Step-by-step explanation:
Every 15 minutes, 30 kilometers are passed by.
15/60 = 1/4 hour
30/120 = 1/4 speed
It takes a train to travel 90 kilometers at a constant speed of 120 kilometers per hour is 45.
We have given that,
F. 30
G. 40
H. 45
J. 80
K. 90
What is the speed?Speed is measured as the ratio between distance and time and the SI unit of speed is m/s.
Every 15 minutes, 30 kilometers are passed by.
15/60 = 1/4 hour
30/120 = 1/4 speed
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The dimensions of the Surf City Community Pool are shown below.
How many cubic meters of water are needed to fill the entire pool?
A: 210
B: 525
C: 735
D: 1050
Answers
Answer:
C: 735
Step-by-step explanation:
We can split the pool into two 3D shapes.
The first rectangular prism on the left would equal 7 * 5 * 15 = 525 cubic meters
The second rectangular prism on the right would equal 7 * 2 * 15 =210 cubic meters.
In total, 525 + 210 = 735 cubic meters
The hexagon has all sides the same length and opposite sides are parallel, but is not a rhombus. Why?!
Answers
Although the sides are equal, it isn't a rhombus because there is 6 sides and not 4.
ms kazenas has 4 pounds of cake mix which she discovers is only 25 of the cake mix she needs to make a whole cake how many more pounds of cake mix does ms kazenas need
Answers
Answer:
Step-by-step explanation:
entire cake = x
4 lbs of cake mix on hand = 25% of x
4 = 0.25x
x = 0.25/4
x = 16 lbs
She will need 16-4 = 12 lbs more
Solve for x: −2x − 8 = −6x + 4 A) 1 B) 2 C) 3 D) 1 2
Answers
Answer:
C.
Step-by-step explanation:
4x = 12
x = 3
Write the slope intercept form through: (4, -4) and (4, -1)
Answers
Answer: X=4 ✌️
Step-by-step explanation:
Y=Mx+b, where m= the slope and b=the y intercept Y=2x-4,slope=2andyintercept=
Answers
Answer:
slope =2
y intercept = (0,-4)
Step-by-step explanation:
y = 2x - 4
Since this is in the form y = mx+b where m is the slope and b is the y intercept
The slope is 2 and the y intercept is -4
slope =2
y intercept = (0,-4)
-mplete the table.
Percent of Discount
Sale Price
Original Price
80%
$90
Answers
Answer:
You will pay $18 for a item with original price of $90 when discounted 80%. In this example, if you buy an item at $90 with 80% discount, you will pay 90 - 72 = 18 dollars.
Step-by-step explanation:
Answer:
Original Price is $450
Step-by-step explanation:
(Discounted price) = (100 percent - discount percent) x (original price)
90 = (100%- 80%) x y
y = 90 / 0.20
= 450
Line AB contains points A (-2, 3) and B (4, 5). Line AB has a slope that is
A.zero
B.undefined
C positive
D.negative
Answers
PLEASE HELP!!! 25 POINTS
An 80% confidence interval for a proportion is found to be (0.52, 0.58). What is the sample proportion?
Answers
Answer:
Answer: 55
Step-by-step explanation:
please help me answer all of them
Answers
Answer:
1. 3:4
2. 1 : 3
3. 3 : 1
4. 1 : 5
5. 2: 5
Step-by-step explanation:
Answer:
1. 3:4 (because 9÷3 is 3 and 12÷3 is 4)
2. 1:3 (because 2÷2 is 1 and 6÷2 is 3)
3. 3:1 (because 21÷7 is 3 and 7÷7 is 1)
4. 1:5 (because 3÷3 is 1 and 15÷3 is 5)
5. 2:5 (because 4÷2 is 2 and 10÷2 is 5)
what is the simplified form of x + 7 / x + 3 + x - 4 / 3
Answers
Answer:
Step-by-step explanation:
[tex]\frac{x +7}{x+3}+\frac{x-4}{3}=\frac{(x+7)*3}{(x+3)*3}+\frac{(x-4)(x+3)}{3(x+3)}\\\\=\frac{(x+7)*3+(x-4)(x+3)}{3(x+3)}\\\\=\frac{3x+21+x^{2}+3x-4x -12}{3x +9}\\\\=\frac{x^{2}+2x-12}{3x+9}\\\\[/tex]
Answer:
I hope this helps you thanks
PLEASE HELP. BEST ANSWER GETS BRAINLIEST. Find x in the following right triangle
Answers
Answer:
12 dm
Step-by-step explanation:
Use the Pythagorean Theorem to find the missing length of the right triangle:
[tex]a^2+b^2=c^2[/tex]
We are given the hypotenuse's length of 13 dm, and a leg length of 5 dm.
Let the missing leg be 'b':
[tex]5^2+b^2=13^2\\\left \{ {{5^2=25} \atop {13^2=169}} \right. \\25+b^2=169\\25-25+b^2=169-25 \leftarrow \text{Subtraction Property of Equality} \\b^2=144\\\sqrt{b^2}=\sqrt{144}\leftarrow\text {Square Root Property of Equality}\\ \boxed{b=12}[/tex]
The missing side length should be 12 dm.
Answer:
12 dm
Step-by-step explanation:
We can use the Pythagorean theorem since this is a right triangle
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + x^2 = 13^2
25 + x^2 =169
Subtract 25 from each side
x^2 = 169-25
x^2 = 144
Take the square root of each side
sqrt(x^2) = sqrt(144)
x = 12
Cards for Candy Two ladies played cards for candy; the winner received one piece per game from the loser. When it was time for one of the ladies to go home, one lady had won three games, while the other lady had a profit of three pieces of candy. How many individual games had they played?
Answers
Answer:
6 games
Step-by-step explanation:
if one lady had 3 pieces of candy, that means she must have gotten them from the other lady. And since the other lady had only won 3 games, that means that she must have lost an additional 3, so she had to give her candy to the other lady.
The number of individual games they played is 6 games.
How many games did they play?Given the cards for Candy two ladies played cards for candy; the winner received one piece per game from the loser. When it was time for one of the ladies to go home, one lady had won three games, while the other lady had a profit of three pieces of candy.
If one woman had three candies, it is obvious that she must have obtained them from the other woman. She had to give her candy to the other lady because she had only won three games, implying that she must have lost three more.
Therefore, the number of individual games they played is 6 games.
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NEED ANSWER FAST PLSSS
Answers
Answer:
1/2
Step-by-step explanation:
sind/D = sinf/F
sind/12 = sin90/15
sind = (12xsin90/15)
sind = 4/5
When using a straight ladder, it is recommended that the base of the ladder by placed approximately 1/4 the length of the entire ladder away from the wall.
Answers
Answer:
What is the question?
Step-by-step explanation:
Answer:
we need to know the lenght of the ladder so we can calculate for u :)
Step-by-step explanation:
How many integer values of x are there so that x, 12,and 9 could be the lengths of the sides of a triangle? Helppp me plzzzz this is due today!!!
Answers
Answer:
10.5 I think
Step-by-step explanation:
hope it helps
1. Find the product: (4 + 6i)(7-2i)
a. 11 + 4i
b. 28 - 12i
c. 40 + 34i
d. 62 - 12i
Answers
Answer:
c
Step-by-step explanation:
(4 + 6i)(7-2i)=
28-8i+42i-12i^2
i^2=-1, so
28+12-8i+42i
40+34i
answer is c
Simplify into one fraction:
4/x+3-2/x-5
Answers
Answer:
[tex]=\frac{2-2x}{x}[/tex]
Step-by-step explanation:
Hope this helps!