Answers
=====================================================
Explanation:
We're adding terms in the form (2n+5)
The first term is when n = 3, so
2n+5 = 2*3+5 = 6+5 = 11
The next term is when n = 4, so
2n+5 = 2*4+5 = 8+5 = 13
The next term is when n = 5, so
2n+5 = 2*5+5 = 10+5 = 15
And so on
This means,
[tex]\displaystyle \sum_{n=3}^{\infty} (2n+5) = 11+13+15+17+\ldots[/tex]
which matches with choice C. The three dots indicates the pattern goes on forever.
-------------------
Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.
I.e,
[tex]\displaystyle \sum_{n=3}^{7} (2n+5) = 11+13+15+17+19[/tex]
Related Questions
Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership. Tami's Toning does not charge an application fee, but charges $14 per month for membership. After how many months will the total cost of membership be the same for both gyms?
Answers
Answer:
Total cost of membership will be the same for both gyms after 5 months.
Step-by-step explanation:
Given: Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership.
Tami's Toning does not charge an application fee, but charges $14 per month for membership.
To find: After how many months will the total cost of membership be the same for both gyms
Solution:
Let [tex]t[/tex] denotes number of months after which total cost of membership will be the same for both gyms
For Suzy's Sculpting gym,
Total charges [tex]= 10+12t[/tex]
For Tami's Toning,
Total charges [tex]=14t[/tex]
Now solve [tex]10+12t=14t[/tex]
[tex]10+12t=14t\\10=14t-12t\\10=2t\\t=\frac{10}{2}\\ t=5[/tex]
So, total cost of membership will be the same for both gyms after 5 months.
Bob needs his refrigerator fixed. The repairman will charge Bob a flat fee of $40 plus an additional $15 for each hour he needs to work on it. Write an equation to represent Bob's cost to repair his refrigerator. Use y for the total cost and x for hours.
Answers
Given:
Fixed fee = $40
Additional fee = $15 per hour
To find:
The equation to represent Bob's cost to repair his refrigerator.
Solution:
Let y be the total cost for x hours.
Additional fee for one hour = $15
Additional fee for x hour = $15x
Total cost = Fixed fee + Additional fee
[tex]y=40+15x[/tex]
Therefore, the required equation is [tex]y=40+15x[/tex].
If b = 3, then b ^-2 is equivalent to ... please help fast lol I’m in a test
Answers
Answer:1/9
Step-by-step explanation:
Some helppppp!!!!! I’m having trouble
Answers
1.4*40=56cm, DVD’s he has
1.4*3=4.2cm
56+4.2=60.2cm, whoops too much. So instead 1.4*2= 2.8cm, 56+2.8=58.8cm Is Your Answer.
Coming in at lunch for extra math help has really paid off! You started out scoring
18 points on each quiz, but your number of points has been increasing 36% per
month for the last 5 months. How many points are you now earning per quiz?
Answers
Answer:
83 points.
Step-by-step explanation:
a water turck is filling a swiming pool. the euqation that represents this relationship is y = 19.75x where y is the number of gallons of water in the pool and x is the number of minutes the truck has been filling the pool choose true or false for each statement
Answers
Answer:
TrueStep-by-step explanation:
Given the expression
y = 19.75x
let us see the solution from this angle
we know that
speed=distance/time
distance=speed*time
i.e quantity=rate*time
y = 19.75x
y=the quantity =number of gallons
19.5= the rate of flow
therefore
x= the time in minutes
Find the y-intercept of the equation y = -0.5x - 3
Answers
Answer: -3
Step-by-step explanation: When you graph this that’s what you get
Answer:
-3
Step-by-step explanation:
the y intercept is when x is 0 on the graph. Since you know x has to be zero, you can substitute x for 0 in the equation:
y = -0.5x0 -3
Now you can ignore that first part of the equation because it equates to 0, and so you get:
y= 0 - 3
which equals:
y=-3
3xsquared +13x-10
HELPP PLEASE
Answers
Answer:
(x + 5)(3x - 2)
Step-by-step explanation:
Assuming you require the expression factorised.
3x² + 13x - 10
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 10 = - 30 and sum = + 13
The factors are + 15 and - 2
Use these factors to split the x- term
3x² + 15x - 2x - 10 ( factor the first/second and third/fourth terms )
= 3x(x + 5) - 2(x + 5) ← factor out (x + 5) from each term
= (x + 5)(3x - 2) ← in factored form
The drama teacher decreased the length of a play from 90 minutes to 60 minutes. What was the percent decrease in the length of the play?
Answers
Answer:
it was decreased by 67%
Step-by-step explanation:
Answer:
67 %
Step-by-step explanation:
On a windmill, the tip of one blade moves in a circular motion. The maximum height is 18 feet and the minimum height is 4 feet. The height of the tip of the blade (in feet) can be modeled by the function h(x)=−14sinx+18 h(x)=−14sinx+18 where x is time in seconds. Use the inverse function to determine how many seconds it will take to make a full rotation for one blade.
A 0.3 second
B 0.6 second
C 1.6 seconds
D 3.2 seconds
Answers
Answer:
The correction is D
Step-by-step explanation:
From the question we are told that
The maximum height is [tex]h_m = 18 ft[/tex]
The minimum height is [tex]h_i = 4 ft[/tex]
The function that models the height of the blade is [tex]h(x) =- 14 sin(x) + 18[/tex] here x is time in seconds
Now at maximum height
[tex]18 = - 14 sin(x) + 18[/tex]
=> [tex]-14 sin(x) =0[/tex]
=> [tex]sin(x) =0[/tex]
=> [tex]x =sin^{-1}[0][/tex]
=> [tex]x =0 \ s[/tex]
Now at minimum height
[tex]4 = -14 sin(x) + 18[/tex]
=> [tex]-14 = -14 sin(x)[/tex]
=> [tex]sin (x) = 1[/tex]
=> [tex](x) = sin^{-1}[1][/tex]
=> [tex]x = 1.6 \ s[/tex]
Now this values is the time taken to move from the higher position of the blade to the lower position of the blade
Now it will take this same amount of time to complete the circle
So the total time take is
[tex]x_t = 2 * |x|[/tex]
=> [tex]x_t = 2 * 1.6[/tex]
=> [tex]x_t = 3.2 \ s[/tex]
What is the value of the expression 5(X+3) when X=-3?
Answers
Answer:
0
Step-by-step explanation:
5(x+3) replace x with -3
5(-3+3)
5(0)
0
i need help with this
Answers
Answer:
answer is A
Step-by-step explanation:
This symbol is called a tilde. In symbolic logic (a field of math
used a lot in computer sciences) it is used to denote "not." For
example, ~A means "not A." In some other contexts, it means
"approximately." For example, pi ~= 3.1416. (Note that sometimes it is
written above the equal sign, and sometimes it is used without an
equal sign - it depends on the situation and the publisher.)
-c + 5d + 7c - 11d + d - 3c
Answers
Answer:
3c-5d
Step-by-step explanation:
HELP ASAPPPPP PLEASE
Answers
Answer:
13. -200, balance on car loans
14. 8, monthly payments
15. linear eqn, y=ax+b
16.values of y will decrease.(although i think the graph will remain linear)
17. as the monthly payment decrease so does the balance on car loan decrease.
Can someone help please ??
Answers
Answer:
a)1 , 5 , 9 , 13 , 17, 21 , 25
Which relation is a function?
Answers
Answer: B
Step-by-step explanation:
A music player app has 2 gigabytes of storage and can hold about 500 songs. A similar, but larger app has 80
gigabytes of storage. About how many songs can the larger app hold?
Answers
Answer:
40,000 songs, I think
Step-by-step explanation:
12. ROS
CALCULATE THE ARC
LENGTH. ROUND TO THE
NEAREST TENTH.
180
63 11
IQ
S
Answers
Answer:
576.97
Squared
What is the temperature displayed on the thermometer?
Answers
Your Answer :
98.6°F (37°C).
Step - By - Step Explanation :
Your normal body temperature should be around 98.6°F (37°C). If you have a temperature that is over than 100.4°F (37.2°C), then you should see your doctor preferably soon.
Note :
I am sorry if this is the wrong answer to your question. Your query did not have an image to display the temperature on the thermometer nor did your query have any further context for us to examine.
Good luck on your homework and have a great day.
Feel free to comment on my answer if you have any further questions.
Answer:
25
Step-by-step explanation:
It's Correct On Edge As Well :P
x+7<13.
^^^^^ answer please & show work .
Answers
Step-by-step explanation:
What is equivalent to
Answers
What is the quotient of -32/8?
Answers
Answer:
Hope it help you
Stayhomestaysafe
Plz mark my answer brainliest✍️✍️
Step-by-step explanation:
[tex] - 32 \div8 = - 4[/tex]Answer is -4
REAL NAME - SHRESTH DUBEY
-4 is the Answer.
-32/8 would be -4
Write 3.19×10−2 in standard form.
Answers
Answer:
It is already in standard form
what is the constant of proportionality of p=5a
Answers
Answer:
=5x
Step-by-step explanation:
your question might have a different variable witch is the letter at the end
anty: Word problems LLV
Questions
answered
You have prizes to reveall Go to your game board. X
Oakland is hosting a city-wide arts festival at which vendors can pay to have a small booth or
a large booth. The fee for a small booth is $31, whereas the fee for a large booth is $87. The
city hopes to receive at least $2,300 in fees.
Select the inequality in standard form that describes this situation. Use the given numbers
and the following variables.
10
Time
elapsed
x = the number of small booths
26
00 12
HRIN
y = the number of large booths
SmartScore
out of 100
31 + x + 87 + y 2 2,300
50
87x + 31y 2 2,300
31x + 87y 2 2,300
87 + x + 31 + y 2 2,300
Sign out
Answers
Answer:
Step-by-step explanation:
Coco butter
Passes through (-2, 6) with a slope of -1/4.
Answers
or
1/4(x+26) decimal form 0.25(x+26)
Joyce paid $31.50 for an item at the store that was 55 percent off the original price. What was the original price?
Give your answer to the nearest cent.
Answers
The original price of the item was $70 if Joyce paid $31.50 for an item at the store that was 55 percent off the original price.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Let x be the original price of the item. Then, we can write the equation:
x - 0.55x = 31.50
from the given expression we need to solve the value of x to get the original price if Joyce paid $31.50 for an item at the store that was 55 percent off the original price
Simplifying the given equation, we get:
0.45x = 31.50
Dividing both sides by 0.45, we get:
x = 70
Therefore, the original price of the item was $70.
To learn more about Algebraic expression from given link.
https://brainly.com/question/28884894
#SPJ1
Please find X. I need help!
Answers
There are 2 overlapping triangles here. If the vertical lines are parallel, then these triangles are similar, and corresponding sides occur in a fixed ratio. In particular, we have
2/3 = (2 + x) / (3 + (x + 7))
Solve for x :
2/3 = (2 + x) / (10 + x)
2 (10 + x) = 3 (2 + x)
20 + 2x = 6 + 3x
14 = x
Jacks boat rental charges a $15 deposit fee $2 for each hour use to rent a paddle boat. Write an equation for C, the total cost,to rent the boat for h hours.
Answers
2h reprents the totals of hours times the 2 dollar hour use.
the 15 is added because its the deposit fee
A rectangular table top needs to be divided into six equal sections. Suppose that you are only able to determine the halfway mark between any interval. Explain how you would use these benchmarks to estimate 1/6 of the length of the table top.
Answers
Answer:
yes
Step-by-step explanation: