Answer:
The sum of the first 880 terms in the sequence is 2,273,920.
Step-by-step explanation:
Arithmetic sequence:
The difference between consecutive terms is always the same, called common difference, and the nth term is given by:
[tex]a_{n} = a_0 + (n-1)d[/tex]
In which d is the common difference.
Sum of the first n terms:
The sum of the first n terms of an arithmetic sequence is given by:
[tex]S_{n} = \frac{n(a_1+a_n)}{2}[/tex]
ai = ai-1 + 6
This means that [tex]d = 6[/tex]
In this question:
Sum of the first 800 terms, so [tex]n = 800[/tex]
First term is -53, so [tex]a_1 = -53[/tex]
The 880th term is:
[tex]a_{880} = -53 + (880-1)*6 = 5221[/tex]
Sum
[tex]S_{n} = \frac{880(-53+5221)}{2} = 440(-53+5221) = 2273920[/tex]
The sum of the first 880 terms in the sequence is 2,273,920.
3rd Grade Ch 10 Review Homework Name
1. Melissa went to Target at 5:05 P.M. She returned home after 36 minutes. She then
walked her dog Zeke for 10 minutes before going back into her house.
Write the time that Melissa got home and the time she went back into the house.
Explain how you found each time.
Answer:
5:51 P.M.
Step-by-step explanation:
You first add 36 and 10 which you get 46 then add the 46 to the total so, 46 + 5 is 51 so she will get back at 5:51 P.M
Answer:
u first add 36 to 5:05=5:41 then add 10 more min and that is 51
Niamh runs 6 km in 30-minutes what is the average speed in km h
Answer:
12 km/hr
Step-by-step explanation:
The average speed is 12 km/hr.
It is to find the average speed in km /h.
What is speed?Speed is measured as the ratio of distance to the time in which the distance was covered.
Given that :
Distance covered by Niamh = 6 km
Time =30minutes=30/60hour
=1/2hour
∴ The average speed=Total distance/Total time
The average speed=6*2/1
The average speed=12 km/hr.
So, the average speed is 12 km/hr.
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What equals 18 to the third power
Answer:
5832
Step-by-step explanation:
18 × 18 = 324
324 × 18 = 5832
Find the missing sides
Answer: x =1/2
y = [tex]\sqrt{3}[/tex]/2
Step-by-step explanation:
A triangle is shown
A
(2х - 10)
B
(3x)
(4х + 46),
с
Part A: What is the value of x, in degrees?
13.8
ОООО
Answer:
x = 16
Step-by-step explanation:
First add all of your angles together to get:
9x + 36
Then set that equal to 180:
9x + 36 = 180
Now solve Algebraically:
Subtract 36 from both sides:
9x = 144
Then divide by 9:
x = 16
The reason I set it to 180 is because we know that all triangles angles equal up to be 180° no matter what.
Census data from a city of 80,000 residents produced the income distribution shown here:
110
60
Income (thousand dollars)
Suppose that we were to take random samples of 5 residents from this population and calculate the sample
mean income of the residents in each sample.
What will be the shape of the sampling distribution of the sample mean?
Answer:
Skewed to the right
Look at dis \/
The shape of the sampling distribution of the sample mean will match the shape of the parent population since the sample size is small (n=5<30), although it will be closer to normal than the parent population is.
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whats going on ;)
1.ILL GIVE BRAINIEST FOR ANSWER
Chan invested $12,500 in a savings account that pays 2.5% simple interest. How much interest does
he earn each year?
F $350.50
G $312.50
H $322.50
J $325.50
Answer:
Step-by-step explanation:
A snack recipe calls for 5 3/4 cups of cereal and 3 5/12 cups less of raisins. How many total cups of snack mix does the recipe make? Write in simplest form.
Answer:
10 1/12 cups
Step-by-step explanation:
Ok, so since we know that the recipe calls for 5 3/4 cups of cereal we can go ahead and say it's at least that much.
Then we have where it says there are 3 5/12 less cups of raisins we need to subtract this from 5 3/4 cups and we get 2 4/12 of raisins.
Final equation: 5 3/4+2 4/12= 10 1/12 cups
Hope this helps!!
PLEASE HELP ME I WILL HIVE BRAINLIST TO THE CORRECT ANSWER !!!!!!!!!!!
Answer:
I'm not 100 percent sure but I think it's the first answer choice because at 40000 3 years have passed. Hope this helps :)
Answer:
The machinery ages three years for every $10,000 loss in value.
Step-by-step explanation:
We can see from the graph that each year, the machinery loses a value of $5,000 (Goes from $50,000 to $45,000 after year one, from $45,000 to $40,000 after year two etc). So we can discount the last two answers.
If it loses $5,000 each year, it loses $15,00 after ageing three years, and $25,00 after five years. Though neither of the first two answers correspond to this, the first answer is closest.
Determine whether each equation is true or false.
Answer:
1. False
2. True
3. False
The manager of a restaurant recorded how many people were in different groups of
customers and how much those groups spent on food and beverages. The scatterplot below
shows the data she recorded.
Answer:
$135
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
hows it goin my boi
Solve.
b + 2/9 = 1 3/5
GEOMETRY find the angle of PRQ NO LINKS!!
Answer:
55
Step-by-step explanation:
Remark
This is a really good question to know the answer to. <PRQ = 1/2 POQ (the central angle. )
The central angle for this question is 110o. So any angle that has its vertex on the circumference is 1/2 110 = 55. The central angle and the angle on the circumference must be related as they are as this question is. (Both are on the same side of PQ which is not drawn but you can draw it).
Which graphs of ordered pairs represent functions?
Answer:
I thin its b.
Step-by-step explanation:
your most exciting day of school
Answer:
first day. yehahhhhhhhh
Answer:
School isn't exciting for me, lol.
Step-by-step explanation:
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer: (4,-11)
Step-by-step explanation: To perform a 180 degree rotation we switch the signs of the coordinates
Answer:
4,-11
Step-by-step explanation:
The answer is 4,-11 because if you think that you go over -4 and go up 11. Now switch the negative sign to the y coordinate because it is a 180 degree turn then you have your answer. 4,-11
pls mark as brainliest!!
Cindy works on the weekends at the local coffee shop. Last Saturday she worked 7.5 hours and
on Sunday she worked 8 hours. She earns $9 per hour. How much did she earn last weekend?
F:97.00 G:89.50 H:139.50 J:109.00
Answer: H. 139.50
Step-by-step explanation:
Multiply 9 by 8 first and you get 72. Then multiply 9 by 7.5 and you get 67.5 then add 72 and 67.5 and you get 139.5 or 139.50
3.8 cm 1.1 cm 2.2 cm Estimate the surface area of the rectangular prism. A) 28 cm B) 32 cm2 64 cm 81 cm
Answer:
28 i guess
Step-by-step explanation:
surface area of rectangular prism is
2*(w*l+h*l+h*w)
h is height
l is length
w is width
so if you substitute each with the numbers you will get 29.92
Question 9 of 10 What is one strategy that can help a person avoid spending too much money on interest when borrowing money? O A. Choosing a credit card with a low minimum monthly payment O B. Choosing a loan with a simple rather than compound interest rate O C. Choosing a credit card with a high minimum monthly payment O D. Choosing a loan with a compound rather than simple interest rate
Answer:
Hello There!!
Step-by-step explanation:
The answer is B. Choosing a loan with a simple rather than compound interest rate.
hope this helps,have a great day!!
~Pinky~
Solve for the area of the triangle in each of the following problems.
Answer:
area of triangle = 1/2×base×height
area of triangle =1/2×15m×16m
area of triangle =120m²
A roadside assistance company gets millions of requests per year, with about a quarter of the requests in
summer and a quarter in winter. Suppose that 12% of all of the summer requests and 15% of the winter
requests are for help with a lockout. A data analyst pulls separate random samples of 200 summer and winter
requests and will look at the difference (summer winter) between the proportion of requests for help with
a lockout in each sample.
What are the mean and standard deviation of the sampling distribution of the difference in sample
proportions?
Answer: -0.03
sqrt ((0.12 (0.88) / 200) + (0.15)(0.85)/200)
Step-by-step explanation:
The mean of the sampling distribution of the difference in sample proportions is -0.03, and the standard deviation is 0.0321.
What is the standard deviation?A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.
The proportion of lockout help requests in the summer population is 12% or 0.12, and the proportion in the winter population is 15% or 0.15. The sample sizes are both 200.
Using these values, we can calculate the mean and standard deviation of the sampling distribution of the difference in sample proportions:
Mean = p₁ - p₂ = 0.12 - 0.15 = -0.03
Standard deviation = √[ (p₁ (1 - p₁) / n₁) + (p₂ (1 - p₂) / n₂) ]
= √[ (0.12 (1 - 0.12) / 200) + (0.15 (1 - 0.15) / 200) ]
= √[ (0.000504) + (0.000525) ]
= √[ 0.001029 ]
= 0.0321
Therefore, the mean of the sampling distribution of the difference in sample proportions is -0.03, and the standard deviation is 0.0321.
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Write the equation of the line (in point-slope form) that passes through the point (3, -4) and has a slope of 6.
Answer:
y+4=6(x-3)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=6(x-3)
y+4=6(x-3)
1.5 units
2 units
3 units
3.5 units
Those are the answer options
I need help fast
Answer:
3 units
Step-by-step explanation:
There are 3 squares between them.
If I get paid $5 for every 10 minutes, how much do I get paid an hour?
Step-by-step explanation:
30$ hope it helped I don't know if its correct though let me know if I'm wrong
What is the area of a rectangle whose length is 4 2/3 cm and width is 8 cm?
Answer: 37 1/3 cm
Step-by-step explanation:
Area = Length times width
4 2/3 times 8 = 37 1/3
I need help with math
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answer:
Long = 6√3
Step-by-step explanation:
Reference angle = 30°
Hypotenuse = 12
Long = Adjacent = ?
Apply CAH:
Cos 30 = Adj/Hyp
Cos 30 = Long/12
12*cos 30 = Long
12*√3/2 = long (cos 30 = √3/2)
6√3 = long
Long = 6√3
Answer:
6√3
Step-by-step explanation:
To find the long leg first we have to find the short leg because to find the long leg we need to use short · √3.
hypotenuse =12, short = 1/2 of hypotenuse so short leg = 6 and finally long leg = 6√3
lol helpppppppppp ♀️
Answer:
The answer is 52.6038
Step-by-step explanation:
Answer:
Step-by-step explanation:
52.6038
There are 196 people in
the Snow Bunnies Ski"
Club. They are taking
buses to Colorado
Each bus holds 60 peo-
ple. How many buses
are needed?
Answer:
they need 4 buses
60+60+60=180 that does not get you to 196 so you would add 1 more bus
which equals 4 buses
How many people out of 100,000 will survive until age 90?
Answer:
81.26
Step-by-step explanation:
This amount of people survived until 90 according to an article:
20,898 + 15,034 + 26,183 + 21,196 + 15,318 + 26,479 + 15,864 + 9,952 + 21,357 = 172,281
"172,281" as a percentage is:
81.26
The percentage people out of 100,000 will survive until age 90 would be 81.26.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
Thus, unit price of something is price of 1 thing.
So, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
The data is given in the image attached below;
We need to find How many people out of 100,000 will survive until age 90.
A percentage is a minimum number or ratio that is measured by a fraction of 100.
The amount of people survived until 90 according to an article:
20,898 + 15,034 + 26,183 + 21,196 + 15,318 + 26,479 + 15,864 + 9,952 + 21,357
= 172,281
Therefore, "172,281" as a percentage is 81.26.
The percentage people out of 100,000 will survive until age 90 would be 81.26.
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