Answer:
364/27
Step-by-step explanation:
9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.
The nth term is a1rn-1.
If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27
32(3-1)n-1 = 3-3
3231-n = 3-3
33-n = 3-3
3-n = -3
n = 6
The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).
So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)
= 9(1 - 1/729) / (2/3)
= (27/2)(728/729) = 364/27
The temperature in Monarch, Wisconsin, was -3° F at 6:00 a.m. The temperature rose 12 degrees in 9 hours. What was the temperature in Monarch at 3:00p.m.?
Answer:
9 degrees
Step-by-step explanation:
The temperatire was -3 and then rose by 12, -3 + 12 = 9
Factorise Fully:
21b-3b^2
See attachment for math work and answer.
plz help me its due soon :( im sad
Answer:
your answer should be 25 feet
Step-by-step explanation:
Answer:
why are you sad
Step-by-step explanation:
25 ft
2x + 3y = 6
y = 2/3x - 2
y = 2/3x + 2
y = -2/3x - 2
y = -2/3x + 2
Answer:
y= −2/3x+2
Step-by-step explanation:
2x+3y=6
Add -2x to both sides.
2x+3y+−2x=6+−2x
3y=−2x+6
Divide both sides by 3.
3y/3=−2x+6/3
What is the difference between comprehensive and collision coverage in an auto policy
Answer:
their both the same
Step-by-step explanation:
add and subtract divide multiply
I promise u your gonna have a bright future if u help me with this ! and I'll brainlist
11. A) x = 0
y = 2x + 5
=> y = 2 * 0 + 5
=> y = 0 + 5 = 5
=> y = 5 (First blank)
x = 1
y = 2x + 5
=> y = 2 * 1 + 5
=> y = 2 + 5 = 7
=> y = 7 (Second blank)
x = 2
y = 2x + 5
=> y = 2 * 2 + 5
=> y = 4 + 5
=> y = 9 (Third blank)
x = 3
y = 2x + 5
=> y = 2 * 3 + 5
=> y = 6 + 5
=> y = 11 (Fourth blank)
x = 4
=> y = 2x + 5
=> y = 2 * 4 + 5
=> y = 8 + 5
=> y = 13 (Fifth blank)
11. B) x = 0
=> y =
=> y = 3 * 0 * 0 + 1
=> y = 0 + 1
=> y = 1 (First blank)
x = 1
=> y =
=> y = 3 * 1 * 1 + 1
=> y = 3 + 1
=> y = 4 (Second blank)
x = 2
=> y =
=> y = 3 * 2 * 2 + 1
=> y = 12 + 1
=> y = 13 (Third blank)
x = 3
=> y =
=> y = 3 * 3 * 3 + 1
=> y = 27 + 1
=> y = 28 (Fourth blank)
x = 4
=> y =
=> y = 3 * 4 * 4 + 1
=> y = 48 + 1
=> y = 49 (Fifth blank)
For more info, here's a picture,
If my answer helped, kindly mark me as the Brainliest!!
Thank You!!
ANALYZEPLANSOLVEJUSTIFYEVALUATE Pay close attention as you work through this process. You'll be asked to write a journal entry at the end. Bottled water comes in cases of 24 bottles. You need 150 bottles of water for a school event. How many cases of water do you need to buy? Enter a unit that best describes the number. CHECK Number Unit Description
Answer:
7
Step-by-step explanation:
If a case contains 24 bottles, and if I need to buy 150 bottles, I would need to buy 150 / 24 = 6.25
Because the store would not sell the quarter of a case, I would need to buy 7 cases of water.
pls help this is due today
Answer:
50.137
Step-by-step explanation:
You can split the triangle into two triangles both with base 3 and height 12
The area of the two triangles is
[tex]2 * (1/2) * B * H\\B*H = 3* 12 = 36[/tex]
The area of a circle is [tex]\pi r^2[/tex]
so the area of the semi circle with r(adius) 3 is
[tex]\pi r^2/2\\9\pi/2[/tex]
[tex]9\pi/2 + 36 = 50.137[/tex]
The 12th term of the sequence is 16 the term to term rule is subtract 3.
Work out the 5th term of the sequence. *
Answer:
a₅ = 37
Step-by-step explanation:
The term to term rule ' subtract 3 ' is the common difference d of an arithmetic sequence with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = 16, then
a₁ + 11d = 16 ← substitute d = - 3
a₁ + 11(- 3) = 16
a₁ - 33 = 16 ( add 33 to both sides )
a₁ = 49 , then
a₅ = 49 + (4 × - 3) = 49 - 12 = 37
A bottled water company charges $8 per month for a water
cooler and $5 per bottle b of water. Write an equation that
represents the total cost C for monthly water service.
Can I please get HELP? ( Picture included)
Answer:
no entiendo la version de esa mathematica
Step-by-step explanation:
Answer:
i think it is 26.
Step-by-step explanation:
180-134=46
180-160=20 so
ABC (46)- XYZ (20)=26.
An anthill has a volume of 8792 mm3 of dirt. Its radius is 20 mm. How far does an ant have to crawl to get from the base of the cone to the top of the hill? (This is the
slant height, s, of the cone.) Answer the questions to find out.
Answer:
The slope is 29 mm.
Step-by-step explanation:
What we know:
The radius of this cone is 20 mm, and the height is 21mm
s = √r^2 + h^2
s = √20^2 + 21^2
s = √400 + 441
s = √841
s = 29 mm
The slant height of the cone is required,
The ant would have to crawl [tex]29\ \text{mm}[/tex]
Volume of coneV = Volume of cone = [tex]8792\ \text{mm}^3[/tex]
r = Radius of cone = 20 mm
h = Height
s = Slant height.
Volume of a cone is given by
[tex]V=\dfrac{1}{3}\pi r^2h\\\Rightarrow h=\dfrac{3V}{\pi r^2}\\\Rightarrow h=\dfrac{3\times 8792}{3.14\times 20^2}\\\Rightarrow h=21\ \text{mm}[/tex]
From Pythagoras theorem we have
[tex]s=\sqrt{r^2+h^2}\\\Rightarrow s=\sqrt{20^2+21^2}\\\Rightarrow s=29\ \text{mm}[/tex]
Learn more about slant height:
https://brainly.com/question/6613758
3x²-75=0 find the square root
Answer:
[tex]x=\pm5[/tex]
Step-by-step explanation:
First, add 75 to each side.
[tex]3x^2-75+75=0+75\\3x^2=75[/tex]
Next, divide each side by 3.
[tex]x^2=25[/tex]
Now, you can take the square root.
[tex]x = \pm\sqrt25}[/tex]
[tex]x=\pm 5[/tex]
Let $f(x) = 2x - 3$ and $g(x) = x + 1$. What is the value of $f(1 + g(2))$?
Answer:
The value of f(1 + g(2)) is 5
Step-by-step explanation:
Let us solve the question
∵ f(x) = 2x - 3
∵ g(x) = x + 1
We need to find the value of f(1 + g(2))
That means we will replace x in f(x) by 1 + g(2)
→ g(2) means substitute x in g by 2
∵ g(x) = x + 1
∵ x = 2
∴ g(2) = 2 + 1
∴ g(2) = 3
∵ x of f = 1 + g(2)
∵ g(2) = 3
∴ x of f = 1 + 3
∵ x of f = 4
→ To find f(1 + g(2)) substitute 1 + g(2) by 4
∵ f(x) = 2x - 3
∵ x = 4
∴ f(4) = 2(4) - 3
∴ f(4) = 8 - 3
∴ f(4) = 5
∴ f(1 + g(2)) = 5
what is the answer to
-6+n=6
How do you solve it
Answer:
n=12
Step-by-step explanation:
-6+n=6
n=6+6
n=12
10 points
Find the DISTANCE between point (3, -8) and point (-11,5). *
Answer:
19.1
Step-by-step explanation:
Can someone guide me step by step on how I hack my grades on a apple/hp laptop
Answer:
no sorry lol but just try harder
Jaime needs a new roof on her house. The cash cost is $7500. She decides to finance the project by paying 20% down , with the balance paid in 36 monthly payments of $189.40. (a) What finance charge will Jaime pay? (b) What is the APR to the nearest half percent ?
Answer:
(a) What finance charge will Jaime pay?
$818.4
(b) What is the APR to the nearest half percent ?
8.5%
Step-by-step explanation:
(a) What finance charge will Jaime pay?
The cash cost is $7500. She decides to finance the project by paying 20% down
Amount paid for down payment = $7500 × 20/100
= $1500
Amount left = $7500 - $1500
= $6000
The balance paid in 36 monthly payments of $189.40.
Hence: $189.40 × 36 = $6818.4
The finance charge = $6818.4 - $6000
= $818.4
(b) What is the APR to the nearest half percent ?
Step 1
Finance charge/ Amount left × 100
= 818.4/6000 × 100
= 13.64
Using the APR table:
The APR to the nearest half percent = 8.5%
Charlene Langhorst's gross weekly salary is $680. Her federal withholding is $101.62. Her employer takes out the standard rates for FICA (Social Security/Medicare). The state tax is 1.5% of gross pay. Each week she pays $32.40 for medical insurance. What are Charlene's total weekly deductions? *
Answer:
Total deductions = $196.24
Step-by-step explanation:
Gross weekly salary = $680
federal holding = $101.62
FICA standard rate = 7.65% of gross earnings
= 7.65% of $680 = 0.0765 × 680 = $52.02
∴ FICA deductions = $52.02
state tax = 1.5% of gross pay = 1.5% of $680
state tax = 0.015 × 680 = $10.2
∴ state tax = $10.2
Medical insurance = $32.40
Total Deductions = 101.62 + 52.02 + 10.2 + 32.40 = $196.24
If f(x) = 2 + 6x and g(x) = x2 +3 , determine g(4).
Answer:
The answer is 19.
Step-by-step explanation:
You have to substitute x = 4 into the function of g(x) :
g(x) = x² + 3
g(4) = 4² + 3
g(4) = 16 + 3
g(4) = 19
On their last history test, Eric scored five more than twice the points that his friend Josh did. If they scored 134 points altogether, find Eric’s score
plz i need help ASAP
Answer: Eric got a 91
Step-by-step explanation:
Make two equations:
We know Eric scored 5 points more than 2 times Josh’s score. E=Eric J=josh
Equation: E = 5 + 2(J)
E + J = 134
Solve for E:
J= 134 - E
Plug it into first equation: E= 5+ 2(134-E)
E= 5+(268-2E) add 2E from each side
E+ 2E = 268 + 5 reduce
3E = 273 divide by 3 to find Eric score
E= 91
You can plug it back in to find what josh received 134-91 = 43
To fact check if you multiple josh score of 43 by 2 you receive 86 which is indeed 5 points lower that 91 so it’s correct.
Me after jumping in joy after I found out Netflix is facing criminal charges
lol same tbh even tho ion have netflix anymore
EASY INEQUALITIES!!!!
Answer:
2.16, 3.45
Step-by-step explanation:
Answer:
Hello!!! erz here ^^
Step-by-step explanation:
2.16< [tex]\sqrt{5}[/tex] < 3.45
Hope this helps!! :D
All the comic books in a store are the same price. Vera
buys 3 comic books for $7.50. How much do 5 comic
books cost? How much do 8 comic books cost?
Answer:
The price for 3 comics is $12.50 and the price for 8 comics is $20.00.
Step-by-step explanation:
To calculate the price of one comic, we can divide the price of the comics by the amount bought:
= $7.50 ÷ 3
= $2.50
Therefore, one comic is $2.50
To figure out how much 5 and 8 comics are, just multiply these numbers by the price of one:
= 5 x $2.50
= $12.50
= 8 x $2.50
= $20.00
The price for 3 comics is $12.50 and the price for 8 comics is $20.00.
what is 0.72 equivalent to?
Answer:
18/25
Step-by-step explanation:
Answer:
72%, or, 18/25
Step-by-step explanation:
I just converted 0.72 into a percentage and a fraction. I hope this helps! :P
By what expression can 3
x-1 be multiplied to yield the product 3x3+5x2+x-1?
Answer:
x^2 + 2x + 1
Step-by-step explanation:
Divide the original equation by 3x-1
Are 3/4 and 16/20 equivalent? Why or why not is one fraction smaller/larger than the other? How do you know
Answer:
No they are not equivalent because 3/4 would be equivalent to 6/8, 9/12, 12/16/ 15/20. 16/20 would be the greatest fraction because in its simplest form it would be 4/5.
Which of the following forms a proportion?
5/9 = 14/18 3/5 = 21/35 6/12 = 18/34 1/8 = 2/24
Answer:
3/5 = 21/35
Step-by-step explanation:
if you reduce 21/35 it is 3/5 so it is the same thing
Bags of cat food can be
purchased in the sizes shown.
Drag the bags to the boxes to
order them based on their price per ounce
Answer:
(72 oz. $17.99)------------>Least expensive
(32 oz. $7.32)------------>middle
(48 oz. $9.60)------------>most expensive
Step-by-step explanation:
Once you understand how to do it, it's easy!
Just divide the ounces by the price to findout the cost
72 ÷ 17.99 = 4.00
32 ÷ 7.32 = 4.37
48 ÷ 9.60 = 5.00
4.00 < 4.37 < 5.00
Least, Middle, most
Good Job! Pls Brainliest! ;)
Change the number below into scientific notation. 3,450,000,000
Answer:
3.450*10^4
Step-by-step explanation: