Answer: a = 2.5 (an-1)
Step-by-step explanation: trust me;)
The function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].
What is geometric progression?sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is as a geometric sequence of numbers.
Formula for nth term of geometric progression[tex]a_{n} =ar^{n-1}[/tex]
Where,
[tex]a_{n}[/tex] is the nth term of the sequence or geometric progression
n is the total number of terms
r is the common ratio
and a is the first term
According to the given question
We have
A geometric progression
8, 20, 50, 125, 312.5
Now the common ratio for the above progression is given by
[tex]r = \frac{20}{8} = 2.5[/tex]
And the first term is
a = 8
Therefore, the function which is used to represent the above sequence is given by
[tex]a_{n} = 8(2.5)^{n-1}[/tex]
Hence, the function which is used to represent the geometric progression 8, 20, 50, 125, 312.5, ... is [tex]a_{n} = 8(2.5)^{n-1}[/tex].
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Enter the number in scientific notation. 86,792 =
Answer:
8.6792 × 10 4 (I don't know how to make the four smaller but its 10 to the power of 4).
Step-by-step explanation:
8.6792 × 10 4. is the scientific notation
A customer in a coffee shop purchases a blend of two coffees: Kenyan, costing $3.50 a pound, and Sri Lankan, costing $5.60 a pound. He buys 3 lb of the blend, which costs him $11.55. How many pounds of each kind went into the mixture
Answer:
10.55.
Step-by-step explanation:
no
Geometry haha, I have no idea how to do this
Answer:
∠DOB=108°
Step-by-step explanation:
∠AOD=∠COB=y
∠AOC=3.5y-y-y
=1.5y
3.5y+1.5y=360° (angles at a pt)
5y=360°
y=360°÷5
=72°
1.5y=72°×1.5
=108°
Hence, ∠DOB=108°.
Answer:
108
Step-by-step explanation:
Call the angle facing east x. The angle facing west is also x. The angle facing north, (thus the angle facing south) is given and is y. You can tell that if you take y twice and x once you get 3.5y, and it's easy to spot that x+y=180. Rest is simple math as in the image added - sorry for the handwriting. With simple algebra (you substitute back and forth) you should get x = 108 degrees.
What can you multiply by to find:
50% of a number?
10% of a number?
75% of a number?
Answer:
1. 50% of a number
0.5
2. 10% of a number
0.1
3. 75% of a number
0.75
Step-by-step explanation:
this is because a percentage is the same as a decimal or a fraction
so 50% is 0.5 or 50/100
taking 50% of something is the same as multiplying by 50% or 0.5 or 50/100
same with 10% and 75%
HELP 35 POINTS
State the domain and range to each of these functions and determine function or not.
Answer:
see below
Step-by-step explanation:
2.x<1, y=all real numbers
3. -1<=x<=3 -3<=y<=2
4. x= all real numbers, y>-2
5. 7<=x<5, 3<=y<1
6.x>-4, y>-1
Solve for z? Question in photo
Answer:
z = 3
Step-by-step explanation:
I hope this helps!
Someone plz help me :(
Answer:
The answer is a
Step-by-step explanation:
Like and give 5 star rating
Answer:
8/3 miles over 8miles
8 mi/3 hrs = 8/3 mi/hr = 2.66666.
Can you pls help.
If you do I will give you brain list but only if it’s right
Answer:
y=-2x-7
Step-by-step explanation:
To find the slope intercept form:
y+mx+b
m is the slope and b is the y-intercept.
We can take the first two points and find the slope by:
[tex]\frac{y2-y1}{x2-x1}[/tex] ->
[tex]\frac{-5-3}{-1- - 5}[/tex] = -2.
That’s the slope.
For the y-intercept we solve the equation:
y=−2(−5)+b -> b = -7
now we have the slope and y-intercept so the equation is:
y=-2x-7
Hope that helps!
Find the area of this semi-circle with radius, r = 92cm. Give your answer rounded to 1 DP. rcm The diagram is not drawn to scale.
Answer:
142cm
Step-by-step explanation:
give me brainlylee plz
The area of the circle semicircle will be 13288.28 square centimeters.
What is the area of a circle?Suppose the circle has a radius of 'r' units, then, its area is given as:
A = πr² square unit
The radius of the semicircle is 92 cm.
The area of the semicircle is half of the area of the circle.
Then the area of the circle semicircle will be
A = π x 92² / 2
A = π x 8464/ 2
A = 4232 x 3.14
A = 13288.48 square cm
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What is the answer to 6m+2.3=-9.7
Answer:
m = [tex]\frac{37}{30}[/tex] or 1.23
Step-by-step explanation:
6m + 2.3 = 9.7
6m = 9.7 - 2.3
6m = 7.4
m = [tex]\frac{37}{30}[/tex] or 1.23
Write a formula for the volume V of a prism where B is the area of the base and h is height
Answer:
a pyramidal prism is 1/3 the volume of a similar rectangular prism of same base and height
so V=(1/3)bh
V=36
H=6
find area of base
36=(1/3)b6
36=2b
divide both sides by 2
18=b
the area of the base is 18 square units
Step-by-step explanation:
the answer is : V= B.h
if a number became 2.5 times smaller, what precent was it decreased by
Answer:
25 percent because when you change it in percent it came25 percent
What is the answer to the question below, I have been working on it for a while. Plz help!
The quotient of 10 times m and 7
Answer:
10m / 7
Step-by-step explanation:
times = multiplication of 10 and variable m
quotient of = division of 7
y intercept is -4 and the slope is 10
Answer:
y=10x-4
Step-by-step explanation:
Answer:
y=10x-4
Step-by-step explanation:
if the sum of two numbers is 15 and their difference is 7 what is the answer
Answer:
11 and 4 are the numbers you add to gether and they have a difference of 7
Step-by-step explanation:
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-4 1/2 + 2 3/4
Guys help me Im having trouble on this EEEEEEEEEE
a toy car costing 500.00 is reduced by 10% in the sale how much does it cost now?
After the 10% reduction in the price of the toy car, the car costs 450.
In order to determine the cost of the toy car after the price was reduced by 10%, the first step is to determine what 10% of $500 is.
10% x 500
0.1 x 500 = 50.
The second step is to subtract the value of the 10% price reduction from the original cost of the toy car.
500 - 50 = 450
To learn more about how to calculate discounts, please check: https://brainly.com/question/9350849?referrer=searchResults
Simplfy the answer t-4t2/t2
Answer:
t - 16
Step-by-step explanation:
Hope this helps!! :))
Could a circle have both a diameter of 7.2 inches and a circumference of 28 inches?
Answer:
no if the diameter was 7.2 inches the circumstance would be 22.62 :)
The cost of a stove to a store owner was 650$, and she sold the stove for 1040$.
Step 1 of 3: What was her profit?
1040 - 650 = 390
By subtracting the cost from the amount she sold the stove for, we can find the profit of $390.
I hope this helps! :)
A line is defined by the equation 2x + y = 4. Which shows the graph of this line?
Edge
-
1.) -x + 5y = 49
X =
X - 4y = - 39
-
=
Answer: (1,10)
Step-by-step explanation:
Assuming these are the correctly written equations:
-x + 5y = 49, and
x - 4y = -39
I'll rewrite them:
5y = x + 49
y = (1/5)x + (49/5)
-4y = -x -39
y = (1/4)x + (39/4)
=====
I'll assume the question is to find the point these two lines intersect (?).
See the attached graph. They intersect at (1,10).
Peter wrote five numbers . Which of peters numbers can be divided into 7 equal groups with 0 left over? Choose all that apply .
Numbers : 56 52 42 35 27
And I’m serious . No LINKS
Answer:
56 42 35
Step-by-step explanation:
all numbers that are divisible by 7
56 is 7 groups of 8
42 is 7 groups of 6
35 is 7 groups of 5
PLEASE HELPPPP! i already asked the question but no one answered.. and my test is due in 20 minutes IM BEGGIN for the map above, state the domain and range, then determine if the relation is a function.
Answer:
Step-by-step explanation:
domain is x = input = {3, 6, 12, 18}
Range is y = output = {5, 7, 9, 10}
for x = 6 y has two values y = 5, 10
so it is not a function
What is mRS?shown on the picture
Answer:
RS = 80°
Step-by-step explanation:
The sum of the arcs of a circle is 360°.
RS +ST +TR = 360°
RS = 360° -ST -TR = 360° -130° -150°
RS = 80°
Is the expression 32. 3-3 equivalent to 33.3-27 Explain.
[tex]combine \: any \: like \: terms \: on \\ each \: side \: of \: the \: equation \: x - \\ terms \: with \: x - terms \: and \\ constant \: with \: constant.[/tex]
Hello there! :)
3-3 =0
33.3-27=6.3
So these two expressions are equivalent.
Expressions are equivalent (equal) when they equal the same number.
Example: 5*4 and 15+5 are equivalent.
Hope this helps!
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~Just a determined gal
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[tex]MysteriousNature[/tex] here to help
Carbon-14 has a half-life of 5730 years. How long will it take for 180 grams to decay to 100 grams?
Answer:
3185
(I'm not sure if it's correct, if it's wrong I apologize in advance.)
Use the triangle below to fill in the blanks.
Answer:
length of the opposite leg divided by the hypotenuse
Step-by-step explanation:
plz helpp what is b?
Answer:
41 degrees
Step-by-step explanation:
the two squares that make up the rhombus are both equilateral so we know that the measure of angle WUX is 56 degrees. subtract 15 from 56 and you get 41 degrees.
59 divided by 4=? PLEASE HELP!
Answer:
14.75
Step-by-step explanation:
56/4 = 14, 3/4 = .75
add them together
Answer: 14.75
Step-by-step explanation: yeah its 14.75 but if you want to simplify it, then its 14.8