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.
PLEASE ANSWER THE QUESTION IN THE PICTURE BELOW
sorry if the pic is blurry if u can't tell what it says in the middle (where the line is) it says 4in and all the other numbers say 6in (there is 3 of them)
9514 1404 393
Answer:
12 square inches
Step-by-step explanation:
The area is given by the formula ...
A = 1/2bh
Here, the base is 6 inches and the height is given as 4 inches. Then the area is ...
A = (1/2)(6 in)(4 in) = 12 in²
The area of the triangle is 12 square inches.
_____
Comment on the problem
Since you are given the base and height, we presume you are intended to use the formula above. You are also given all three side lengths. If you use the appropriate formula with those, you find the area is about 15.6 square inches. (The height of this triangle is actually closer to 5.2 inches.)
The figure represents a geometry that cannot exist. With the given base and height, the side lengths should be 5, not 6.
The length of a room is 23 1/2 feet. When using a 1/8 inch = 1 foot scale, find the length of
the room on a floor plan.
Answer:
2.9375 inches or 2 15/16"
Step-by-step explanation:
23 1/2 feet equals 282 inches
(1/8 ÷ 12) = (x ÷ 282)
cross-multiply:
35.25 = 12x
x = 2.9375 or 2 15/16 inches
i need help i will crown brainiest
Answer:25 if your looking for the number of ways to order 5 objects
Step-by-step explanation:
If your looking for the probability of 1 number the ways for it to be arranged l believe It is 5x5 hope this helps
Convert 562 hectograms to pounds to the nearest hundredth
Answer:
Is that your answer
Answer:
123.90
Step-by-step explanation:
1 Hectogram = 0.22 lbs
[tex]562*0.22=123.90\\[/tex]
What is the measure of x?
A. 8
B. 9
C. 10
D. 11
Answer:
A
Step-by-step explanation:
You want to install a 3 yd wide walk around a circular swimming pool. The diameter of the pool is 16 yd. What is
the area of the walk? Use 3.14 for it.
The area of the walk is approximately
help me please I will be thankful
Answer:
x=56º
Step-by-step explanation:
The cube tells us that 34º and x must equal 90º
So we use what we know to find the missing piece
90º=34º+x
-34º -34º
56º=x
Answer:56
Step-by-step explanation:90+34+x=180 because triangles angels sums up to 180 degrees
180-124=x
56=x
Hi there, hope everyone is well and staying cool :D
Pls can you answer this question!
Brainliest, brainliest, brainliest.................
Pls send me your name first, then i will call you brainliest
The quickest and right answer gets to be brainliest and the rest I will thank you
ENJOY!!!!!!!!
Answer:
A) By using the Pythagorean Theorem, we will see that [tex]8^2 + 15^2 = 17^2[/tex]. If we simplify it, we will find that the hypotenuse of Δ[tex]ABC = 17[/tex]
B) approximately [tex]18.79[/tex]
Step-by-step explanation:
A) In all honesty, you don't really need to look at ΔACD at all for this one. Just use the Pythagorean Theorem (like previously stated) and solve!
***Pythagorean Theorem is [tex]leg^2 + leg^2 = hypotenuse^2[/tex]
B) Here, you can also use the Pythagorean Theorem! However this time, the equation will be, [tex]8^2 + 17^2 = AD[/tex].
[tex]8^2 + 17^2 = 64 +289[/tex][tex]64 + 289 = 385[/tex][tex]\sqrt{385} \\[/tex] ≈ [tex]18.79[/tex]Hope you do well on the rest of your math problems :D
What S the value of x?
Enter
your answer in the box.
X :
Find the volume of the sphere below. Leave your answer in terms of pi.
Answer:
C) 972π
Step-by-step explanation:
Volume of a sphere formula:
V = 4/3πr³
Given:
r = 9
Work:
V = 4/3πr³
V = 4/3π9³
V = 4/3(729)π
V = 972π
Help me out I’ll give a stars real answers only.
Answer:
Step-by-step explanation:
1. Dylan invested $47,000 in an account paying an interest rate of 4% compounded annually. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $79,200?
2. x^2 + y^2 = 153 and y = -4x. If (x, y) is a solution to the system of equations above, what is the value of y^3?
Answer:
(1) 13.0 years
(2) [tex]y^{3} =[/tex] {-1728, 1728}
Step-by-step explanation:
(1)
Compound annually:
[tex]Pe^{rt}[/tex] = A
(47000)[tex]e^{(0.04)(t)}[/tex] = 79200
[tex]e^{(0.04)(t)}[/tex] = [tex]\frac{79200}{47000}[/tex]
ln([tex]e^{(0.04)(t)}[/tex]) = ln([tex]\frac{79200}{47000}[/tex])
ln and e cancel out.
(0.04)(t) = ln([tex]\frac{79200}{47000}[/tex])
t = [tex]\frac{ln(\frac{79200}{47000})}{0.04}[/tex]
t = 13.0 years
(2)
[tex]x^{2} +y^{2} = 153\\y = -4x[/tex]
Substitute y with -4x.
[tex]x^{2} + (-4x)^{2} = 153[/tex]
Solve for x.
x = {-3, 3}
Plug in x values into any equation to find y.
y = -4(-3) and y = -4(3)
y = {-12, 12}
[tex]y^{3}[/tex] = [tex]-12^{3}[/tex] = -1728
[tex]y^{3}[/tex] = [tex]12^{3}[/tex] = 1728
Answer:
13.3
Step-by-step explanation:
I got it right
Callie's and jordan's families were driving to their family reunion in Marshall. Callie's family traveled from Ontario to Marshall. Jordan's family traveled from lucerne to Marshall.haw many more miles did one family drive than the other?
A.41.9 miles
B.423.4 miles
C.465.3
D.888.7
Answer:
it's 423.4 miles
Step-by-step explanation:
sotry for taking a while I didn't get your notification
PLEASE ANSWER ASAP DUE IN 2 MIN WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!
PLEASE ONLY ANSWER PART B
Answer:
because cfd eaquls a+b lllllllllll
Answer:
Step-by-step explanation:
IT is either the same as 7x+4 because it is infront of each other or you add 8x+6 and 6x+2 then you substract that from 180 to find out the remaining angle. Of course you have to subtitute the amount of x first.
are these correct???
Answer:
They are all correct.
Step-by-step explanation:
1.
1/2(b)(h)
1/2(4)(6)
1/2(24)
12
2. l x w
7 x 5
35
3. (b)(h)
(8)(4)
32
a survey of students at a university shows that 3 out of 5 drink coffee. of the students who drink coffee, 1 out of 8 adds cream to it. if the university has 12,000 students, find the number of students who drink coffee with cream
Answer:
900 students
Step-by-step explanation:
3/5 of 12,000 = 7,200 who drink coffee
1/8 x 7,200 = 900 who drink coffee with cream
The radius of a cone is 4.9 cm and its height is 10 cm. Find the volume of the cone to the
nearest tenth. Use 3.14 for pie
Answer:
V = 251.3
Step-by-step explanation:
Volume of a Cone formula:
V = πr²(h/3)
Given:
r = 4.9
h = 10
Work:
V = πr²(h/3)
V = 3.14(4.9²)(10/3)
V = 3.14(24.01)(10/3)
V = 251.3
ASAP PLEASE!!!!!!!!!
A graphic designer draws an image of a house on the computer. In the real world, the house is 30 feet high. On the computer screen, the house appears 4 inches high. What scale factor did the designer apply to the height of the house when creating the drawing? One foot is the same as 12 inches.
Choices:
A.1 to 30
B.1 to 90
C.1 to 40
D.1 to 120
There are 45 students in a speech contest. Yesterday, 1/3 of them gave their speeches. Today, 2/5 of the remaining students gave their speeches. How many students still haven't given their speeches?
what is the x value such that y =15 -3x and y = 0?
Answer:
Step-by-step explanation:
. -6x - 2(0) = - 18. -6x = -18. x = 3 Tht
Answer:
x=5
Step-by-step explanation:
0=15-3x, then -15=-3x, divide the -15 by-3 and the answer is x=5
Solve for x.
109= -x + 267
X=
x 5
?
Answer:
x=158
Step-by-step explanation:
109=-x+267
-267 -267
-158=-x
x=158
(also i noticed part of your question says x=(?)*5 and 31.6*5 is 158 so that would be 31.6)
Find the surface area of the prism.
Answer: You need to calculate the area of two polygonal bases, i.e., the top face and bottom face.
Step-by-step explanation:
Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step 27.27 4+2
Answer:
33.27
Step-by-step explanation:
27.27 + (4 + 2)
You always perform the parenthesis first.
27.27 + 6
Then you add 6.
33.27
Help me please. And don't put answers like dolfjaldjf or something like that. Like no wrong answers for people who just want points. Because I really need this.
⬇ Hey bud! I really respect you because you need the answer. Anyways, the answer will be down below! :) ⬇
Answer:
0.20(15+x)=6
Step-by-step explanation:
(0.20)(15) + 0.20x = 6
3 + 0.20x = 6
0.20x = 3
x = 3/0.20
x = 15
Rob's Iunch was $15.
Check it:
15+15=30
30x0.20=6
Please mark be brainliest once a second person answers! As I'm trying to move up to Genius and recover my points and brainliest's! It will always be appreciated. If you need any help comment down below so I can help you! Have a great day! :D
Why is 10^5/10^4 equal to 10^11? Explain or show your thinking
Answer:
It does not because if you solve the first equation you get 10 so it will not equal to 10^11
Step-by-step explanation:
Cups are sold by 6 per package while plates are sold by 8 per package. If you want
to have the same number of each item for a party, what is the least number of
packages of cach item you need to buy?
A. 2 packages of cups and 3 packages of plates
3 packages of cups and 4 packages of plates
C. 4 packages of cups and 3 packages of plates
D. 5 packages of cups and 3 packages of plates
Answer:
C
Step-by-step explanation:
What is the lowest common multiple
6 = 2 * 3
8 = 2 * 2 * 2
LCM = 2 * 2 * 2 * 3
LCM = 24
So you just divide 6 and 8 into 24. The result will be the number of packages.
Cups: 24/6 = 4
Plates: 24/8 = 3
You need 4 packs of cups and 3 of plates
Solve the equation. 4 2/5 + k = -3 2/11
Step-by-step explanation:
[tex]\tt{}4 \frac{2}{5} + k = - 3 \frac{2}{11} [/tex]
[tex]\tt{} \frac{22}{5} + k = - \frac{35}{11} [/tex]
[tex]\tt{}k = \frac{35}{11} - \frac{22}{5} [/tex]
[tex]\tt{}k = - \frac{417}{55} [/tex]
[tex]\tt{}k = - 7 \frac{32}{55} [/tex]
PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ?
Answer:
B. Straight angles
Step-by-step explanation:
When combined, they form a straight line. They are also supplementary angles. When added together, they = 180 degrees.
Answer:
C. Alternate interior angles
Step-by-step explanation:
A young couple wants to save $40,000 over the next 5 years and then use this money as a down payment on a home. How much money must they deposit at the end of each quarter in an account that earns 5% compounded quarterly?
5% of 40,000 is 2,000
for brainliest !!!! help