Answers
Answer:
a) 1456/243
b) 170
Step-by-step explanation:
The sum of n terms of a geometric sequence with first term a1 and common ratio r is given by ...
Sn = a1·(r^n -1)/(r -1)
__
a)The first term is 4; the common ratio is 1/3. You want the sum of 6 terms:
S6 = 4·((1/3)^6 -1)/(1/3 -1) = 4(-728/729)/(-2/3) = 1456/243
__
b)The first term is -2; the common ratio is -2. You want the sum of 8 terms:
S8 = -2((-2)^8 -1)/(-2 -1) = -2(255/-3) = 170
Related Questions
The function f is given by
f(x) = 2x^3– 4
(a) Show that f^-1(50) = 3
Answers
Answer:
hope it helps you.....
and I m feeling bad for my handwriting
The proof of the value of the inverse equation f^-1(50) = 3 is below
How to prove the value of the inverse equationFrom the question, we have the following parameters that can be used in our computation:
f(x) = 2x^3 - 4
To show that f^-1(50) = 3, we simply show that
f(3) = 50
substitute the known values in the above equation, so, we have the following representation
f(3) = 2 * 3^3 - 4
Evaluate
f(3) = 50
Hence, the proof of the value of the inverse equation is done
Read more about inverse equation at
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The functions r and s are defined as follows.
r(x) = -x +1
s(x)=2x2-1
Find the value of r(s(4)).
numeral composition of functions
Answers
Answer:
.........................................
PLZZZ HELP MEEEE
A city discovers that its population has been tripling every year. The function graphed models the population (in thousands) after x years.
Answers
Answer:
in 19 81 has in crimn that day there are a war
Answer:
African Americans contributed to the war by
combat service elements alongside their white counterparts and were involved in all major combat operations, including the advance of United Nations Forces to the Chinese border. Two African-American Army sergeants, Cornelius H. Charlton and William Thompson, earned the Medal of Honor.
Step-by-step explanation:
algebra 2 please help
Answers
Answer:
A
Step-by-step explanation:
(f+g)(x)=-2x+4+x^2-3x+5
so answe = x^2-5x+9
Two square room have a total floor area of 89. One room is 3m longer each way than the other. Find the dimension of the two room
Answers
Step-by-step explanation:
here is your answer hope you will enjoy and mark me as brainlist
thank you
Three of the angles of a quadrilateral are 53degrees, 127degrees and 72degrees
Answers
Answer:
108
Step-by-step explanation:
The size of the fourth angel = 360 - ( 53 + 127 + 72 ) = 108
TRUE OR FALSE angle measures
will give brainly <3
Answers
All are true
TrueTrue True#1
As BC=KL
Their adjacent angles will be same[tex]\\ \sf\longmapsto B=<L[/tex]
#2
Already denoted in diagrams
#3
By SSS similarity triangles are congruent
Can someone help me with this? Please and Thank You.
Answers
Answer:
4.9 hours
Step-by-step explanation:
Divide 1,625 by 2.5 to identify what number is being multiplied by 2.5.
Ans: 650
Divide 3,185 by 650 to find the time for 3,185 gallons of water.
Ans: 4.9
4.9 hours is your answer.
A long distance telephone company offer two plans . The deluxe plan cost $30 a month and offers unlimited long distance calling. The economy plan only costs $10 a month, but charges 5 cents per minute for every long- distance call. How many minutes a month can you use for long distance calls and still have money using the economy plan?
Answers
Answer:
399 minutes a month
Step-by-step explanation:
As I understand the question the answer would, in other words, be how many minutes you can long-distance call with the economy plan for under $30.
The unit ratio is 5 cents per minute, which equates to 20 minutes worth of call time for one dollar (100/5).
The economy plan is $20 cheaper than the deluxe plan. $20 spent on long-distance calling gets you 400 mintues, but the question asks for an integer that would still leave remaining money.
Therefore the answer is 399 minutes of long-distance calling, which would leave five unspent cents.
A customer buy's 5 books at a bookstore for a total cost of 65$. If all the books cost the same amount, how much does 1 book cost?.
Answers
Answer: each book costs $13
Step-by-step explanation:
dividing 65 by 5 gets the answer
Answer:
13$ per book
Step-by-step explanation:
Divide 65/5 and it will give you the unit rate
whats 9 - 25 / ( 8 - 3 ) x 2 + 6 = ?
Answers
Answer:
14
Step-by-step explanation:
8 - 3 = 5
25 / 5 = 5
9 - 5 = 4
4 x 2 = 8
8 + 6 = 14
In each lesson in a book, there are 10 more test questions than quiz questions.
Which equation represents the relationship between the number of test questions t and the number of quiz questions q?
t = q + 10
q = 10t
q = t + 10
t = 10q
Answers
Answer:
the answer is t=q+10 :)
Step-by-step explanation:
Answer: the guy below me is very correct i took the quiz and got 100
Step-by-step explanation:
be sb s s sbshshsh ?
Answers
Answer:
What?
Step-by-step explanation:
A $270 suit is marked down by 30%. Find the sale price . PLZ HELP IM NOT GOOD WITH PECENTGE .
Answers
Answer:
189$
Step-by-step explanation:
30% of 270 = 81
270-81=189
Answer:
The sale price is $189.
Step-by-step explanation:
Rule:
To find the percent of a number, change the percent to a decimal by moving the decimal point of the percent two places left. Then multiply it by the number.
Example:
Find 20% of 200.
Change the percent, 20, to a decimal by moving the decimal point of 20 two places left.
20% = 0.20
Now multiply 0.20 by 200.
0.20 × 200 = 40
Answer to the example: 20% of 200 is 40
Here is the solution to your problem:
The suit has a regular price of $270.
The percent off is 30%.
First, we find the dollar amount of the discount.
30% of $270 = 0.30 × $270 = $81
The dollar mount of the discount is $81.
Now we subtract the dollar amount of the discount from the original price of $270.
$270 - $81 = $189
Answer: The sale price is $189.
finish the porblem-
Enter the correct equation in the box.
Answers
Answer:
y = -3/4 x
Step-by-step explanation:
Divide y by − 3/4 by multiplying by by the reciprocal of − 3/4 therefore x= -4y/3
.
-15 < x - 8 < -4
SOLVE COMPUND INEQUALITY
Answers
[tex] \sf \: -15 < x - 8 < -4 [/tex]
Add 8 to all parts[tex]\sf \longmapsto−15+8<x−8+8<−4+8[/tex]
[tex]\sf \longmapsto−7<x<4[/tex]
[tex] \boxed{\sf−7<x<4 }[/tex]
Graph attachedcan someone please double check this for me & help me correct it if there are any mistakes!
Answers
Answer:
C) Your answer is correct.
Step-by-step explanation:
Please help 12 points
Answers
Answer:
SAS because they stand for side angle side
Please help, thank you (NO LINKS!)
Patsy has cheerleading practice every fourth day. She wants to be in the school play, but they have practice every sixth day. If both start on September 5th, what would be the next date she has to choose between cheerleading and play practice? Show your work and explain.
Answers
Answer:
the first time 4 and 6 intersent is 24
so 24 days after september 5th
september 29th
Hope This Helps!!!
0.1 x 0.01 x 0.001
ans ???
Answers
________
[tex] \: [/tex]
[tex]0.1 \times 0.01 \times 0.001 = ...[/tex]
[tex] = \frac{1}{10} \times \frac{1}{100} \times \frac{1}{1.000} [/tex]
[tex] = \frac{1}{10 \times 100 \times 1.000} [/tex]
[tex] = \bold{ \frac{1}{1.000.000}} [/tex]
Answer:
[tex]0.1 \times 0.01 \times 0.001 = 0.000001 \\ \\ \\ \\ i \: hope \: it \: is \: helpfull[/tex]
What is the missing step in solving the inequality 5 – 8x < 2x + 3?
Add 2x to both sides of the inequality.
Subtract 8x from both sides of the inequality.
Subtract 2x from both sides of the inequality.
Add 8x to both sides of the inequality.
Answers
Answer:
Add 8x to both sides of the inequality.
Step-by-step explanation:
PLEASE HELP!!!!!‼️‼️ ILL MARK BRAINLIIST WHAT EVER IT IS CALLED PLEASE!!!!
1. What theorem can be used to find a missing length in a right triangle?
A. Base angle theorem
B. Pythagorean theorem
C. Midsegment theorem
D. Triangle proportionality theorem
2. Find the value of X in the figure below if LP is parallel to MO
A. 10.7 units
B. 3 units
C. 5.5 units
D. 6 units
Answers
Answer:
1.b
2.d
Sana makatulong
1. Optiond D is correct, Triangle proportionality theorem can be used to find a missing length in a right triangle.
2. Option D is correct, the value of x is 6.
1. The Triangle proportionality theorem can be used to find a missing length in a right triangle.
The triangle proportionality theorem states that if a line parallel to one side of a triangle intersects the other two sides at different points, then it divides the remaining two sides proportionally.
2. By triangle proportionality theorem:
NO/OP=NM/x
20/8=15/x
Simplify the LHS:
5/2=16/x
Apply cross multiplication:
5x=15×2
5x=30
x=30/5
x=6
Hence, the value of x is 6.
To learn more on Triangles click:
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How do you do this, because I really do not know how to do this and plz explain how to do this
Answers
Answer:
A
Step-by-step explanation:
the leading degree(the biggest power in the function) x^4 and the leading coefficient is the number next to the highest power which is -5
so the answer should be
-5,4,x -> infinity, f(x) -> -infinity ; x -> -infinity, f(x) -> -infinity
when you get asked questions like this look for the biggest power and the number next to it. if the power is even x will always be positive if its odd x can be either positive or negative it depends on restrictions.
for instance in this example -5 * x^4 will always give you negative because -5 will multiply with a positive number x (the power is even so its always positive)
please help me find the values of x and y
Answers
Answer: A = X + Y; B = X xor Y. The task is to make X as minimum as possible.
Step-by-step explanation:
12. What value of a makes the equation true?
7a + 6 = -5(a -6)
A.-3
B. 3
C.0
D.2
Answers
Answer:
D
Step-by-step explanation:
7a + 6 = -5(a -6)
<=> 7a + 6 = - 5a + 30
<=> 7a + 5a = 30 - 6
<=> 12a = 24
<=> a = 2
=> Answer is D
Hope this helps!
Answer:
a=2
Step-by-step explanation:
1. distribute the -5 to (a-6): 7a + 6 = -5a + 30
2. add 5a to both sides, and subtract 6 on both sides: 12a = 24
3. divide by 12: a = 2
Solve 47 x 104 = ________. Use how the placement of the decimal point changes when multiplied by a power of ten to help you. (1 point)
A. 470
B. 4,700
C. 47,000
D. 470,000
Answers
[tex]47 \times {10}^{4} \\ = 47 \times 10000 \\ = 470000[/tex]
Answer:D. 470000
Hope it helps.
Do comment if you have any query.
Step-by-step explanation:
[tex]47 \times 10 {}^{4} \\ \\ = 47 \times 10000 \\ \\ = 470000[/tex]
if there was 200 kids= 100% and 43 of them left what is the percent
Answers
Answer:
It would be 86 as 43% of 200 is 86
Step-by-step explanation:
Which equation goes through the points (-3,5) and (-1,7)?
Answers
Answer:
y=x+8
Step-by-step explanation:
slope = y2-y1/x2-x1
slope = 7-5/-1+3
slope = 2/2
slope = 1
y=x+b
7=1(-1)+b
7=-1+b
b=8
y=x+8
the first shower head was used 20 gallons of water in 5 minutes. How many gallons of water will we use in one minute?
Answers
Answer:
4
Step-by-step explanation:
because since it says 5 minutes
and. 5×4=20 so 4 gallons of water in 1 minute
Anne is making bags of candy to give her seven friends she is putting 2/3 of a pound of windy in its bag how many pounds of candy will she need
