Write the explicit rule for the given the sequence: 125, 25, 5, ...
Answer:
An=125(1/5)^n-1
Step-by-step explanation:
r=common ratio
A1= first term in the sequence
I hope this helps some
The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].
What is geometrical progression series?A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.
The given GP series is 125, 25, 5, ...
First term a = 125
Common ratio = 25/125 = 1/5
The nth term will be given as ar^(n-1)
Thus, An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].
Hence "The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125".
For more information about the geometrical progression,
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Dominic is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The total cost of the gym membership over t months is given by the equation C=45t+100. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
The slope intercept form is y=mx+b, and b represents the y-intercept. In the given equation C=45t+100, 100 is the y-intercept. It represents the one-time fee to join the gym membership.
Answer:
y intercept is 100
which represents the one-time joining fee
Step-by-step explanation:
Tim ate 12 buffalo wings. Jeff ate 125% of the amount Tim ate. How many wings did Jeff eat?
Answer:
%50
Step-by-step explanation:
hope this helped luv!
What 7 to the 2 power plus 6
Answer:
[tex]7^2+6[/tex]
7 to the 2nd power is 49
49+6
55
Which equation represents the line passing through the points (4, −1) and (1, 0)?
Select one:
A. x + 3y = 1
B. 3x + y = 1
C. x − 3y = −1
D. −x + 3y = 1
Iooooooooooooookkn ooooo
ooooo nkkooooooooooooooI
Answer:
ok
Step-by-step explanation:
ok
How to multiply Decimals by power of 10?
Answer:
maybe this well help
Step-by-step explanation:
When you multiply a decimal by a power of 10, simply move the decimal place to the right as many places as there are 0s in the power of 10. When you divide a decimal by a power of 10, simply move the decimal place to the left as many places as there are 0s in the power of 10.
Answer:
You can convert the power of 10 to a decimal and multiply it by 0.502, or you can move the decimal place of 0.502 to the left depending on the value of the exponent:
0.502 x 10^2=0.00502 → 10^2 is equal to 100. So, 0.502 x 100=0.00502 OR 10 is raised to a power of 2, so move the decimal place 2 times to get 0.00502.
0.502 x 10^3=0.000502 → 10^3 is equal to 1000. So, 0.502 x 1000=0.000502 OR 10 is raised to a power of 3, so move the decimal place 3 times to get 0.000502.
Hope you understand and that this helps with your question! :)
(14)/(5)=(x)/(25) please help
Step-by-step explanation:
(14)/(5)=(x)/(25)
We move all terms to the left:
(14)/(5)-((x)/(25))=0
We add all the numbers together, and all the variables
-(+x/25)+14/5=0
We get rid of parentheses
-x/25+14/5=0
We calculate fractions
There is no solution for this equation
How do you skip videos on edunuity?
Answer: let the video play for a while, pause, disconnect from wifi, reconnect, then refresh the page.
Step-by-step explanation:
You may have to press next activity again and it might not work the first time but I promise it works.
Answer:
you skip when it comes to the very end
Step-by-step explanation:
Please Give BrainleastComplete the similarity statement for the two triangles shown. L 25 ft 18 ft 10 ft Z 55 ft 01 22 ft Enter your answer in the box. A D 45 ft Δ DPL »Δ P Р 3 4 5 6 7 8 9 10
Answer:
∆DPL ~ ∆QAZ
Step-by-step explanation:
In the diagram given, the following can be deduced:
<D is congruent to <Q
<P is congruent to <A
<L is congruent to <Z
From these, looking at the letter arrangement, the similarity statement can be written as:
∆DPL ~ ∆QAZ
What is the sum of 4.3943 and 5.4157?
A.9.71
C. 9.81
B.9.72
D.9.82
Answer:
9.81
Step-by-step explanation:
You have to add them up: 4.3943 +
5.4157
----------
9.8100
A full 335 ml can of Coca-Cola is filtered at a rate
of 5 ml per minute into an empty can. How long
will it take for the two cans to have the same
amount, a, of Coca-Cola?
Mm
9514 1404 393
Answer:
33.5 minutes
Step-by-step explanation:
There are many ways you can look at this problem. One is to write equations for the amount in each can, and solve for the time that makes those amounts equal. Another is to consider how much time it takes to reduce the volume by half.
Using the first method, we have ...
335 -5t = 5t
335 = 10t
335/10 = 33.5 = t
It takes 33.5 minutes for the cans to have the same amount.
The sum of two positive numbers is 4 and the sum of their cubes is 28. What is the product of the two numbers?
Answer:
3
Step-by-step explanation:
system of equations:
[tex]a+b=4[/tex]
[tex]a^3+b^3=28[/tex]
[tex]a=4-b[/tex]
plug in for a in other equation and solve
[tex](4-b)^3+b^3=28[/tex]
[tex]64-48b+12b^2-b^3+b^3=28[/tex]
[tex]64-48b+12b^2=28[/tex]
[tex]0=36-48b+12b^2[/tex]
[tex]0=3-4b+b^2[/tex]
[tex]0=(b-3)(b-1)[/tex]
[tex]b = 3[/tex]
or
[tex]b=1[/tex]
plug into other equation to get a
[tex]a=4-b=4-3=1[/tex]
or
[tex]a=4-b=4-1=3[/tex]
multiply together
[tex]1*3=3[/tex]
plz help this is very confusing
Answer:
[tex] x \ge 15 [/tex]
Step-by-step explanation:
An isosceles ∆ has 2 equal sides. The perimeter of a ∆ is the sum of all its sides.
Given that the perimeter of the triangle above is "at least 137 ft", this means the sum of all its sides is equal to or greater than 137 ft.
Thus, using inequality, this can be represented as:
[tex] 2(2x + 7) + 4x + 3 \ge 137 [/tex]
Solve for x
[tex] 4x + 14 + 4x + 3 \ge 137 [/tex]
Add like terms
[tex] 8x + 17 \ge 137 [/tex]
Subtract 17 from both sides
[tex] 8x + 17 - 17 \ge 137 - 17 [/tex]
[tex] 8x \ge 120 [/tex]
Divide both sides by 8
[tex] \frac{8x}{8} \ge \frac{120}{8} [/tex]
[tex] x \ge 15 [/tex]
John made 3 out of 12 attempted baskets in the game. What percentage of the shots did he make?
Answer:25 percent
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
3/12 as a present is 25%
What is the value of y in the solution to this system of equations?
y =
7x+14
2.
2x + 4y = 60
Answer:
[tex]y = \frac{224}{15}[/tex]
Step-by-step explanation:
Given
[tex]y = 7x + 14[/tex]
[tex]2x + 4y = 60[/tex]
Required
Find y
First, substitute 7x + 14 for y in the second equation:
[tex]2x + 4y = 60[/tex] becomes
[tex]2x + 4(7x + 14) =60[/tex]
Open bracket
[tex]2x + 28x + 56 = 60[/tex]
[tex]30x = 60 - 56[/tex]
[tex]30x = 4[/tex]
Solve for x
[tex]x = \frac{4}{30}[/tex]
[tex]x = \frac{2}{15}[/tex]
[tex]y = 7x + 14[/tex] becomes
[tex]y = 7 * \frac{2}{15} + 14[/tex]
[tex]y = \frac{14}{15} + 14[/tex]
[tex]y = \frac{210+14}{15}[/tex]
[tex]y = \frac{224}{15}[/tex]
Hence:
[tex]y = \frac{224}{15}[/tex]
Kenia rotated Triangle ABC 90° counterclockwise to create Triangle A’B’C’. If Kenia performed this transformation correctly, what is the measure of angle B'? What is the measure of angle A and C. Number value only. URGENT
Answer:
B' = 105°
C = 27°
A = 48°
Step-by-step explanation:
Given
B = 105°
C = (2x - 3)°
C' = (5x - 48)°
Rotation = 90°
Before solving the requirements of this question, it should be noted that rotation do not change the angle of shapes.
i.e. an angle retain its measurements pre and after rotation.
Solving (a): The measurement of B'
Using the analysis above.
B' = B
Recall that
B = 105°
So:
B' = 105°
Solving (b): A and C
First, I'll solve for C.
Using the same analysis above.
C = C'
Substitute values for C and C'
5x - 48 = 2x - 3
Collect like terms
5x - 2x = 48 - 3
3x = 45
Multiply both sides by ⅓
⅓*3x = ⅓*45
x = 15
Substitute 15 for x in
C = (2x - 3)°
C = 2 * 15 - 3
C = 30 - 3
C = 27°
Solving for A
The sum of angles (A, B and C) is represented as:
A + B + C = 180
Substitute values for B and C
A + 105° + 27° = 180°
A + 132° = 180°
Collect like terms
A = 180° - 132°
A = 48°
if i give Mr_MunchlyYumYum 800 bobux and gave him an extra 372 bobux and then cool nbayoungboy182 saw the bobux and took 1000 bobux and then bigwetslimyfart took 341 bobux from nbayoungboy182. nbayoungboy182 gives Mr_MunchlyYumYum 532 bobux. how much bobux does Mr_MunchlyYumYum have? (answer question for 46586373687634587476523498567823686857643872 bobux)
Answer:
EZ! 362 bobux
GO TO FLIMFLAM.SHOP
Determine the total surface area of each right triangle-based prism
Answer:
small prism: 630 m²large prism: 2520 m²Step-by-step explanation:
The total surface area of the prism is the sum of the base area and the lateral area. The base area is made up of two right triangles, so will be the product of the triangle leg dimensions. The lateral area is made up of three rectangles whose width is that of the prism and whose equivalent length is the perimeter of the triangle base.
For the smaller prism, the area is ...
(20 m)(21 m) +(3 m)(20 m + 21 m + 29 m) = 420 m² +210 m² = 630 m²
The larger prism is similar, with a scale factor of 2, so its area will be 2² = 4 times that of the smaller prism:
4×630 m² = 2520 m²
__
In summary, the total surface area of each prism is ...
small prism: 630 m²large prism: 2520 m²Which function has a graph with a positive y-intercept?
A. I and III only
B. I only
C. II, and III
D. III only
Answer:are you taking AP calculus AB
Step-by-step explanation:
Answer:
A l and lll
my teacher helped me
Georgia wants to test a protein supplement
for muscle gain. It randomly selects 15
players to take the supplement and 15
players to take a placebo. Before and after
10 weeks of taking these pills, the players'
muscle mass is measured and compared.
This is an example of a(n):
A) Sample B) Observational Study
C) Census D). Experiment
Do any of you guys know the answers to these! Need help
Answer:
(16) 0 (17) 36
Step-by-step explanation:
8-3 = 5
5x5 = 25
25 / 25 = 1
1 - 1 = 0
and 81 / 9 x 4 = 9 x 4 = 36
Answer:
0 and 36
Step-by-step explanation:
16
25 ÷ (8 - 3)² - 1 ← evaluate parenthesis
= 25 ÷ 5² - 1 ← evaluate exponent
= 25 ÷ 25 - 1 ← evaluate division
= 1 - 1
= 0
17
[tex]\frac{4}{9}[/tex] × 81 = 4 × 9 = 36
Cooper's bird feeder holds 9/10 of a cup of birdseed Cooper's filling the bird feeder with a scoop that holds 3/10 of a cup how many scoops of birdseed will Cooper put in the feeder
(7+ 1 4) + 6 = 7 ( ■ + 1 6)
The explains why a x b = b x a and a + b = b + a.
A university wants to conduct a sample survey to determine the average number of students who earned a GPA higher than 3.5. Which of the following survey methods is most likely to produce valid results?
A. The university surveys students who earned less than a 3.5 GPA.
B. The university surveys every other student who earned more than a 3.5 GPA.
C. The university surveys 600 randomly selected students who attend the university.
D. The university selects one department and surveys all of its students
Answer:
C. The university surveys 600 randomly selected students who attend the university.
Step-by-step explanation:
Question in picture below will give brainly.
Answer:
The Best answer would be The Third Option Below
Step-by-step explanation:
HELP DUE IN 2 MIN
The ratio of boys to girls in a classroom is 6 to 5. If
there are a total of 18 boys in the classroom, find
the number of girls in the classroom.
Answer:
15
Step-by-step explanation:
18/3=6
15/3=5
Answer:
15
Step-by-step explanation:
If the ratio is 6:5 and we know the boys are 18, we have 18:?
18/6=3, so we have to do 5*3. 5*3=15.
The ratio is 18:15, the number of girls in the classroom is 15
Your velocity is 13 feet per second. Are you moving up or down
Answer:up
Step-by-step explanation:...
Answer:
U are moving up
Step-by-step explanation:
Velocity is the speed of something in a given direction so.... since your velocity is 13 feet per second u are therefore moving up.Might sound confusing but i'm sure that is the answer
Representative: “I am planning to attend a company-paid conference. My charges will include $412.00 for airfare, $378.00 for conference registration, and $210.00 for food.” Supervisor: “Please submit an expense form for a total of __________ when you return.”
When he returns, the total will be "$1,000".
Given charges are:
For airfare,
= $412.00
For conference registration,
= $378.00
For food,
= $210.00
The total charges will be:
= [tex]Airfare+Conference \ registration+Food[/tex]
= [tex]412+378+210[/tex]
= [tex]1,000[/tex] ($)
Thus $1,000 is the right answer.
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