Answer:
It is a geometric sequence and the common scale factor is [tex]\frac{2}{3}[/tex].
Step-by-step explanation:
In an arithmetic sequence, the difference between consecutive terms is always the same.
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.
In a geometric sequence, each consecutive term was multiplied by some factor over the last.
[tex]a_n=ax^n^-^1[/tex]
where aₙ is the nth term, n is the index, and x is the scale factor.
In the given sequence, there is no common difference so it is not an arithmetic sequence. There is, however, a common scale factor applied to each consecutive term. Each term is multiplied by [tex]\frac{2}{3}[/tex] over the last.
The formula for this sequence would be:
[tex]a_n=a\frac{2}{3} ^{n-1}[/tex]
Answer:
r = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
If the sequence is geometric then there will be a common ratio r between consecutive terms , that is
r = a₂ ÷ a₁ = a₃ ÷ a₂ = a₄ ÷ a₃
Then
a₂ ÷ a₁ = [tex]\frac{2}{9}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{9}[/tex] × 3 = [tex]\frac{2}{3}[/tex]
a₃ ÷ a₂ = [tex]\frac{4}{27}[/tex] ÷ [tex]\frac{2}{9}[/tex] = [tex]\frac{4}{27}[/tex] × [tex]\frac{9}{2}[/tex] = [tex]\frac{2}{3}[/tex]
a₄ ÷ a₃ = [tex]\frac{8}{81}[/tex] ÷ [tex]\frac{4}{27}[/tex] = [tex]\frac{8}{81}[/tex] × [tex]\frac{27}{4}[/tex] = [tex]\frac{2}{3}[/tex]
Then sequence is geometric with common ratio r = [tex]\frac{2}{3}[/tex]
please tell me what is the answer and how is it done
3825÷4.25= ?????
Hey there!
I got 900 as the answer.
I hope this helped.
a family of four goes to a movie theatre and spends $26.50. they buy 2 tickets for adults, and 3 boxes of popcorn at $2.50 per box. what is the cost of one adult ticket
Answer:
$9.5
Step-by-step explanation:
3x2.50= 7.50
26.50-7.5 =19
19/2 = 9.5
9.5 for one adult ticket
Hi!
First, let's add (or multiply) the boxes of popcorn.
2.50 + 2.50 + 2.50 (or 2.50 x 3) is 7.50. so the popcorn all together is $7.50.
Next, we subtract the popcorn cost from the cost altogether.
26.50 - 7.50 = $19
Next, we divide the $19 by two.
19 ÷ 2 = 9.50
To make sure this is true, what we do is multiply 2 x 9.50.
2 x 9.50 = 19.
So 9.50 is your answer.(NOTICE: your problem says a family of 4. you didn't give me the total for the other 2 people who were going to the movie, so this is just my estimate for just those 2 adults. If it's not correct, that is the reason why, otherwise, it is the answer.)
Hope this helps!
~~~PicklePoppers~~~!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!4
Answer:
a
Step-by-step explanation:
Carlos spent 1 1/4 hours doing his math homework. He spent 1/4 of this time practicing his multiplication facts.
How many hours did Carlos spend practicing his multiplication facts?
____ of an hour
A: 1/4 of an hour
B: 3/8 of an hour
C: 1/16 of an hour
D: 5/16 of an hour
LOL ITS ME AGAIN STOP SCROLLING N HELP MEEE PLS. ALSO DONT MIND DIRTY SCREEN
Answer:
12/16 9/12
3/4
Step-by-step explanation:
12/16 = 15/20 = 9/12
scale factor = 3/4
Answer:
The other fractions are [tex]\frac{9}{12}[/tex] and [tex]\frac{15}{20}[/tex].
the scale factor is [tex]\frac{3}{4}[/tex].
Each of the sides on XYZ are 3/4 of the corresponding sides on ABC.
Suppose you are exchanging currency in the London airport. The currency exchange service there only makes transactions in which one of the two currencies is British pounds, but you want to exchange dollars for Euros. Thus you first need to exchange dollars for British pounds, then exchange British pounds for Euros. At the time you want to make the exchange, the function f for exchanging dollars for British pounds is give by the formula:
f(d)=0.69d−1
and the function gg for exchanging British pounds for Euros is given by the formula
g(p)=1.3p−2
Required:
a. Find a formula for the function that exchanges dollars in return for Euros.
b. How many Euros would you receive for exchanging 450 dollars after going through this two-step exchange process?
c. How many dollars would you need to exchange in order to end up with 60 Euros after this two-step exchange process?
The two-step exchange process is an illustration of composite functions
The function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]You would receive 400.35 Euros, when you exchange 450 dollarsYou would receive 70.6 dollars, when you exchange 60 EurosConverting from dollars to British pounds, we have:
[tex]\mathbf{f(d) = 0.69d - 1}[/tex]
Converting from British pounds to Euro, we have:
[tex]\mathbf{g(p) = 1.3p - 2}[/tex]
(a) Function that converts dollars to Euro
To do this, we simply calculate gf(d)
So, we have:
[tex]\mathbf{g(f(d)) = 1.3f(d) - 2}[/tex]
Substitute [tex]\mathbf{f(d) = 0.69d - 1}[/tex]
[tex]\mathbf{g(f(d)) = 1.3 \times (0.69d - 1) - 2}[/tex]
Expand
[tex]\mathbf{g(f(d)) = 0.897d - 1.3 - 2}[/tex]
[tex]\mathbf{g(f(d)) = 0.897d - 3.3 }[/tex]
Rewrite as:
[tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Hence, the function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
(b) Euro equivalent of $450
In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Substitute 450 for d
[tex]\mathbf{g(450) = 0.897 \times 450 - 3.3 }[/tex]
[tex]\mathbf{g(450) = 403.65 - 3.3 }[/tex]
[tex]\mathbf{g(450) = 400.35}[/tex]
Hence, you would receive 400.35 Euros, when you exchange 450 dollars
(c) Dollar equivalent of 60 Euros
In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]
Substitute 60 for g(d)
[tex]\mathbf{60 = 0.897d - 3.3 }[/tex]
Add 3.3 to both sides
[tex]\mathbf{0.897d = 63.3 }[/tex]
Divide both sides by 0.897
[tex]\mathbf{d = 70.6}[/tex]
Hence, you would receive 70.6 dollars, when you exchange 60 Euros
Read more about composite functions at:
https://brainly.com/question/20379727
Write the system of equations below as a matrix
{2x - 7y = 4
{x - 3y = 3
Matrix:-
[tex]\\ \sf\longmapsto \left[\begin{array}{ccc}\sf 2 &\sf -7 &\sf 4\\ \sf 1&\sf -3 &\sf 3\end{array}\right][/tex]
I don’t know what to call it but I need help
Answer: this is a math test, i presume
on schoology
93 is what percent of 300
[tex]\sf \longmapsto \: \dfrac{93}{300} [/tex]
[tex]\sf \longmapsto \: \dfrac{93}{300} \times x[/tex]
[tex]\sf \longmapsto \: \dfrac{93}{300} \times 100[/tex]
[tex]\sf \longmapsto \cancel\dfrac{93}{300} \times \ \cancel\dfrac{100}{100}[/tex]
[tex]\sf \longmapsto \: \dfrac{31}{100} [/tex]
[tex]\sf \longmapsto \: 31\%[/tex]
the cost of 20 ounces of turkey is 4.20 dollars what is the cost per ounce of turkey?
Answer:
0.21
Step-by-step explanation:
PLZ HELP ASAP I GIVE BRAINLIEST AND POINTS PLZ DONT POST LINKS
LOOK AT THE PICTURE
Answer:
look at the picture..................
[tex]\\ \rm\leadsto (aa^2a^3)/(a\div a^2)^{-1}[/tex]
[tex]\\ \rm\leadsto \dfrac{a^{1+2+3}}{(a^{-1})^{-1}}[/tex]
[tex]\\ \rm\leadsto \dfrac{a^6}{a}[/tex]
[tex]\\ \rm\leadsto a^5[/tex]
Ahhhhhh please help me!!
Answer: chrome
Step-by-step explanation:
new tab then search it up
A scale drawing of triangle ABC has side lengths of 2 centimeters (cm), 4.8 cm, and 5.2 cm. The scale drawing was drawn using the scale of 1 cm=4 inches.
Raquel creates a different scale drawing of the original triangle ABC with the scale factor 116.
What are the side lengths in Raquel's scale drawing?
-1 in., 2.4 in., and 2.6 in.
-0.5 in., 1.2 in., and 1.3 in.
-8 in., 19.2 in., and 20.8 in.
-128 in., 307.2 in., and 332.8 in.
Step-by-step explanation:
I am not sure this is typed all correctly.
what I understand here :
there is an original triangle ABC in inches.
then, using the scale 1 cm = 4 inches a smaller triangle A'B'C' was created.
the side lengths of A'B'C' are 2cm, 4.8cm, 5.2cm.
due to the scale of 1 cm = 4 inches that means ABC has the side lengths 8 inches, 19.2 inches, 20.8 inches.
and now, another scaled triangle A"B"C" is drawn in inches based on ABC with a scan factor of 1/16 (is that correct ?).
that means that all side lengths are divided by 16 for the resulting triangle.
8 inches /16 = 0.5 inches
19.2 inches / 16 = 1.2 inches
20.8 inches / 16 = 1.3 inches
so, the second answer option is correct.
Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.
9514 1404 393
Answer:
7x +40x = 204x +30 = 110°3x +10 = 70°Step-by-step explanation:
The marked angles are supplementary, so you have ...
(4x +30) +(3x +10) = 180
7x +40 = 180
__
Subtracting 40 gives ...
7x = 140
x = 140/7 . . . . . divide by the coefficient of x
x = 20
__
Then the angle measures are ...
4x +30 = 4·20 +30 = 110°
3x +10 = 3·20 +10 = 70°
find an equivalent ratio 3:10
Answer:
The answer is 6:20, 12:40 and 18:60
Answer
15:50
Step-by-step explanation:
3 x 5 = 3 :
10 x 5 10
i hoped this helped lol
Find the distance between the points (6,3) and (-5,3)
Answer:
11
Step-by-step explanation:
Does this table represent a function or not? Why or why not?
Answer:
No
Step-by-step explanation:
For something to be a function, there must be no duplicate x values, or if there is they must represent the same y. The table has a duplicate value of 2 so it is not a function.
I hope this helps!
Draw a square and its diagonals. Guess the measures of these angles.
Answer:
90 degrees on each angle.
Step-by-step explanation:
A square is symmetrical on all sides, so each side has to be a right angle. Each right angle adds up to 360 degrees, the total degrees of a quadrilateral.
Helpppp!!
Drag each image to the correct location on the graph. Each image can be used more than once.
The following list shows the grams of fiber per serving for each flavor of oatmeal at a grocery store.
3, 6, 3, 4, 2, 4, 4
3, 5, 2, 1, 4, 1, 2
Create a histogram that correctly displays the data.
Answer:
The answer is 2, 6, 5, 1 for the Grams of Fiber.
Step-by-step explanation:
What is the closed form definition for the sequence below?
4, -12, 36, -108,...
Note that 4 is considered the 1st term.
Answer:-108
Step-by-step explanation:
you need to put them in order from least to greatest 4, 36, -12, -108
Find three rational numbers lying between -2/5 and -1/5
Answer:
0, 1/4, -1/4
Step-by-step explanation:
PLEASE HELPPP!!!
The graph below shows the time it takes Michael to solve 30 multiplication
flash cards over 7 attempts. By how many seconds did his time improve from
Attempt 3 to Attempt 7? Do not include units in your answer.
Answer:
24
Step-by-step explanation:
Im not sure by 64-40=24?Pls hurry and no links
Answer:
-20.5
-8
4.5
17
Step-by-step explanation:
y = 2.5x - 8
x = -5
y = 2.5(-5) - 8
y = -12.5 - 8
y = -20.5
x = 0
y = 2.5(0) - 8
y = 0 - 8
y = -8
x = 5
y = 2.5(5) - 8
y = 12.5 - 8
y = 4.5
x = 10
y = 2.5(10) - 8
y = 25 - 8
y = 17
Alr guys I need a refreser on long division because my little sister needs help with it (Help :') )
Answer:
116 remainder 1
116 1/3
116.333
Step-by-step explanation:
Answer:
116 with a remainder of 1
Step-by-step explanation:
Picture below shows step by step work
Hopefully this helps!
Brainliest please?
Answer:
THERE IS NO QUESTION
Step-by-step explanation:
7c + 8d = 5A
solve for a
(just rearrange the equation for the answer, I forgot how to)
Answer:
A=7c/5 + 8d/5
Step-by-step explanation:
Answer:
A = [tex]\frac{7c+8d}{5}[/tex]
Step-by-step explanation:
7c + 8d = 5A ( isolate A by dividing both sides by 5 )
[tex]\frac{7c+8d}{5}[/tex] = A
A(-5‚-8) B(2‚-3) And C(-2‚9) are the vertices of ∆ABC. find the coordinates of its image under the rotation through 180°
in anti-clock wise direction about origin? HELP Meeeee
Answer:
see explanation
Step-by-step explanation:
Under a rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , then
A (- 5, - 8 ) → A' (5, 8 )
B (2, - 3 ) → B' (- 2, 3 )
C (- 2, 9 ) → C' (2, - 9 )
A media organization is interested in reporting election results in a congressional election prior to the final tally of votes which will not occur until later in the evening. The organization randomly selects several polling places across the district asking voters whom they voted for. The type of poll being used in this scenario is known as an exit poll Answer A: an exit poll A a benchmark poll Answer B: a benchmark poll B an opinion poll Answer C: an opinion poll C a tracking poll
The name which is given to this type of poll which is being described in this scenario is known as:
A. An exit pollAccording to the given question, we are asked to state the name which is given to this type of poll which is being described in this scenario where a media organisation asks people who they voted for.
As a result of this, we can see that the type of poll which was used in this described scenario above is known as an exit poll because it is used to get the poll of the voters just after they have left the polling stations.
Therefore, the correct answer is option A
Read more here:
https://brainly.com/question/22435957
Using partial quotients to solve 604 ÷ 5, which is the best choice for the first number to be subtracted from 604?
500
5
5,000
50
Please be quick
Answer:
500
Step-by-step explanation:
Umm I dont know how to explain but im 100% sure
I got it right on my quiz so...
Answer: 500
Step-by-step explanation:
the first one
Please Help Im Doing A Test And Really Need The Answer!
Please no fake answer for points
Answer:
The last one (16+20+3+8)
Step-by-step explanation:
add up all the sides not including the 3 inside
Answer:
(16+20+3+8)
Step-by-step explanation:
The perimeter is the measurement on the outside of the shape.
so (3+16+20+8) = 47