find the common ratio and the 12th term of the geometric sequence 64, 16, 4, ...
Answer:
common ration = 1/4
12th term = 1/65536
Step-by-step explanation:
64
64*1/4 = 16
16 * 1/4 = 4
4* 1/4 = 1
1 * 1/4 = 1/4
1/4*1/4 = 1/16
1/16*1/4 = 1/64
etc
1/256
1/1024
1/4096
1/16384
12th term = 1/65536
Answer:
see explanation
Step-by-step explanation:
The common ratio r is calculated as
[tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{16}{64}[/tex] = [tex]\frac{1}{4}[/tex]
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 64 and r = [tex]\frac{1}{4}[/tex] , thus
[tex]a_{12}[/tex] = 64 × [tex](\frac{1}{4}) ^{11}[/tex] = 64 × [tex]\frac{1}{4194304}[/tex] = [tex]\frac{64}{4194304}[/tex] = [tex]\frac{1}{65536}[/tex]
Of the 50 states, 11 share a border with Canada. What is the ratio of states that border Canada to states that do not border Canada?
Answer:
50 - 11 = 39
39 states do not border Canada
11 to 39
the graph of a linear function is given below. what is the zero of this function ?
Answer:
I'm pretty sure it B -3/2 because u start at -2(x) and go down 3 and right 2 and end at -2(y)
Step-by-step explanation:
Im sorry if u get it wrong plz tell me the right answer.
Answer:
The answer is -2
Step-by-step explanation:
Plato
A.up
B.down
C.to the left
D.to the right
Answer:
A
Step-by-step explanation:
Someone please helpppp!!no bs answers.
geometry
Answer:
Line TB is congruent to line BR.
B is the midpoint of line TR.
Line TB plus line BR is equal to or congruent to line TR.
*wink face lol*
If you could help me with the questions it would be greatly appreciated.
Answer:
I believe that number 1 is x=5
Step-by-step explanation:
Answer:
I believe that number 1 is x=5
Step-by-step explanation:
Consider the equation 1.2x + 4.8y = 18
If we graph the equation, what is the slope of the graph?
Answer:
-1/4
Step-by-step explanation:
For this equation, first divide both sides by 1.2, to get x+4y=15. Then, subtract x from both sides. Now, with 4y=-x+15, divide by 4. You should get y=-1/4x+15/4 (15/4=3 3/4 or 3.75). The formula y=kx=b, where k is slope, means the slope is -1/4.
could anyone tell me the answer to this quickly???
Express two and forty five hundredths as a decima
Answer:
2.45
Step-by-step explanation:
"Two and forty five hundredths"
"Two" will be the number '2'.
"and" will indicate the decimal.
"forty five hundredths" is '.45'.
Two and forty five hundredths as a decimal would be '2.45'.
Hope this helps.
Answer:
2.45
Step-by-step explanation:
2/1 + 45/100 = 2 + 0.45 = 2.45
or
2.00
+ 0.45
-----------
2.45
or
200/100+45/100=245/100=2.45
Explain how to solve 2(x+3) = 10. What properties did you need to solve the equation?
Answer:
x = 2, Inverse property of subtraction
Step-by-step explanation:
Simplifying
2(x + 3) = 10
Reorder the terms:
2(3 + x) = 10
(3 * 2 + x * 2) = 10
(6 + 2x) = 10
Solving
6 + 2x = 10
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + 2x = 10 + -6
Combine like terms: 6 + -6 = 0
0 + 2x = 10 + -6
2x = 10 + -6
Combine like terms: 10 + -6 = 4
2x = 4
Divide each side by '2'.
x = 2
Simplifying
x = 2
Answer:
x = 2
Step-by-step explanation:
Apply the distributed property, so it now looks like this: 2x + 6 = 10Subtract 6 to each side, so it now looks like this: 2x = 4Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 2I hope this helps!
ASAP PLEASE ILL GIVE BRAINIEST
Answer:
third choice
Step-by-step explanation:
Congruent means being exactly the same. When two line segments have the same length, they are congruent. When two figures have the same shape and size, they are congruent. ... Similar means that the figures have the same shape, but not the same size.
WILL MARK BRAINLIEST NEED HELP WITH PROPORTIONS
Answer:
x=-10
Step-by-step explanation:
-2 is the _____________ of 2
Answer:
Opposite?
Step-by-step explanation:
You work 4 hours on Saturday and 7 hours on Sunday. You also receive a $35 bonus. If your paycheck was for $142.25, how much do you make an hour?
Answer:
9.75
Step-by-step explanation:
first we are going to subtract the bonus
142.25 -35 = 107.25
assuming that you are not takeing breaks you work a total of 11 hours (7+4)
so 11/107.25 = 9.75
so you would make 9.75 an hour before taxs
y=2x-8
13x + 2y = 18
solving systems by the elimination method
Answer:
x = 2
Step-by-step explanation:
13x + 2( 2x - 8) =18
13x + 4x -16 = 18
13x + 4x = 34
17x = 34
x = 2
On his federal income tax return, Benito Silva, a single taxpayer, reported income from wages, $27,820; tips, $5,495; and interest earned, $1,466. Benito had these adjustments to income: payments to a retirement plan, $2,000; penalty for early withdrawal of savings, $19. His employer withheld $3,985 from his pay for federal income tax. Benito claims the standard deduction of $5,450 and an exemption of $3,500. Find Benito's adjusted gross income .
Answer: 50,735
Step-by-step explanation:
A = -3
B = -1/3
C = 1/3
D = 3
Answer:
D
Step-by-step explanation:
The slope m is a measure of the rate of change
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, - 1) ← 2 points on the line
m = [tex]\frac{-1+4}{1-0}[/tex] = [tex]\frac{3}{1}[/tex] = 3 → D
Which of the following is equal to 393,500?
3.935 × 10 ^5
0.3935 × 10 ^-6
39.35 × 10 ^-4
3.935 × 10 ^-5
Answer:
3.935*10^5
Step-by-step explanation:
this is for my lil sis. "Round 13.989 to the nearest tenth" to lazy to answer it for her
Answer:
14.0
Step-by-step explanation:
when rounded to the nearest tenth, 13.989 is 14.0.
Answer:
Hey!
Your answer for your lil' sis is 14!
Step-by-step explanation:
The tenth column is the column directly after the decimal point...
GREATER THAN 5 = Round up...
LESS THAN 5 = Round down...
So in this case it is 9 SO WE ROUND UP
This makes it 14.0
I HOPE THIS HELPED1 Graph a line that contains the point (4,3) and has a slope of 1/2
(numbers on graph go up to 7)
Answer:
the points: (8,5) (6,4) (4,3) (2,2) (0,1) (-2,0) (-4,-1) (-6,-2) (-8,-3)
Step-by-step explanation:
the point (4,3) should be dotted first, start from the (0,0) go right 4 spaces then up 3 spaces. the slope 1/2 means up 1 space then right two spaces to start plotting points on the graph. and to continue the bottom of the line it would be -1/-2 which is down 1 space then left 2 spaces.
A $65 coat is on sale for 15% off,
what is the cost of the coat
after the sale?
Answer:
$55.25
Step-by-step explanation:
15% of $65: [tex]\frac{65}{1}[/tex] × [tex]\frac{15}{100} = \frac{975}{100}[/tex] $975/100 = $9.75$65 - $9.75 = $55.25I hope this helps!
$55.25 is the cost of the coat after the sale.
Step-by-step explanation:
Given:
Price of the coat = $65
Percentage of discount = 15%
To find:
The cost price of coat after the sale
Solution:
Cost price of coat = $65
Percentage of discount = 15%
The amount of discount will be 15% of the price of the coat.
Amount of discount :
[tex]=\frac{15}{100}\times \$65 \\=\$9.75[/tex]
The cost price of the coat:
[tex]=\$65-\$9.75=\$ 55.25[/tex]
$55.25 is the cost of the coat after the sale.
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help me i need it
!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
S, BB, J
Step-by-step explanation:
Because you are going greatest (positive) to least (negative)
Highest to lowest
PLZ HELLP ME
:/ will receive 50 for help plus 20 for bouns If the answer is right
−2=6/7p
✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽
➷ [tex]\boxed{p = \frac{-7}{3} }[/tex]
[tex]-2 = \frac{6}{7}p[/tex]
✽ Flip the equation.
[tex]\frac{6}{7} p = -2[/tex]
✽ Multiply both sides by 7/6.
[tex](\frac{7}{6} ) * (\frac{6}{7}p) = (\frac{7}{6} ) * (-2)[/tex]
[tex]p = \frac{-7}{3}[/tex]
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ May ♡
You play a game where you score -6 points on the first turn and on each of the next 3 turns. Your score after those 4 turns is
Answer:
-24
Step-by-step explanation:
You start with -6 points, and get another -6 on the rest of the turns which is a total of 4 turns.
-6 x 4 is -24
Unless this question is missing some information, this should be correct I believe.
Hope this helps!
The score after 4 turns is -24.
Given that, you play a game where you score -6 points on the first turn and on each of the next 3 turns.
We need to find what is the score after 4 turns.
What are integers?An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
Now, the score after 4 turns = Score of the first turn + The next 3 turns
= -6 + 3(-6)
=-6-18
=-24
Therefore, the score after 4 turns is -24.
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Emory ran 3 miles in 30 minute. At this pace, how long will it take Emory to run 9 miles? Explain your method AND your reasoning.
Answer:
It will take him 1 hour and 30 minutes. (90 minutes)
Step-by-step explanation:
If he is running 1 mile in 10 minutes and he needs to run 9 miles the just multiply 9 by 10 to get 90 then simplify if you need to to get 1 hour and 30 minutes.
Hope this helped and have a great rest of your day.
Please Answer.Dont show the work. Just please explain the work and how to get the answer.Water comes out of Leigh's garden hose at a rate of 1 gallon per of a minute. What is the unit rate at which water flows out of Leigh's garden hose?
A. of a gallon per 4 minutes
B. of a gallon per minute
C. 4 gallons per minute
D. 9 gallons per 4 minutes
Answer:
A
Step-by-step explanation:
I have the same question and got it write
The value of investments in the stock market change daily. Suppose you buy a stock for $3,789. It increases in value by 6% and then decreases 7% and then increases again by 7%. What is the new value? (round your answer to the nearest cent)
Answer:
The final value of the stock is $3,996.66
Step-by-step explanation:
Percentage Change
The x% of a number N is calculated as x*N/100. If there is an increase, that number is added to the original value, then the new value is:
N'=N+x*N/100
Operating:
N'=N(1+x/100)
That formula makes it easier to find the new values of increasing quantities. When the percentage is for decreasing, then the formula becomes:
N'=N(1-x/100)
The original value of the stock is N1=3,789. The first change is an increase of 6%, then the new value is:
N2=3,789(1+6/100)=3,789*1.06=$4,016.34
The stock value now decreases by 7%:
N3=4,016.34(1-7/100)=4,016.34*0.93=$3,735.20
Finally, the value increases again by 7%:
N4=3,735.20(1+7/100)=3,735.20*1.07=$3,996.66
The final value of the stock is $3,996.66
3. What is the goal of education—especially when it comes to history and human rights? Cite evidence from this text, your own experience, and other literature, art, or history in your answer.
Answer:
The goal for human rights is to education aims to do the following: Enhance the knowledge and understanding of human rights. Foster attitudes of tolerance, respect, solidarity, and responsibility. Develop awareness of how human rights can be translated into social and political reality.
(Evidence) -------›
"The following year, he immigrated to the United States and settled in Kansas City, Mo., where he married, had four children and became a successful importer of ladies' handbags. It would be 16 years before he began speaking publicly about the Holocaust, something he says he decided to do after talking to one of his neighbors."
what is the equation?
Answer:
cost = 1.35n
$33.75 for 25 songs
Step-by-step explanation:
Based on the numbers given, the cost is proportional to the number of songs downloaded. The constant of proportionality is the cost of one song: 1.35.
cost = 1.35n
For 25 songs, ...
cost = 1.35·25 = 33.75 . . . . dollars
__
The equation is ...
cost = 1.35n
what is 1.6 X 10³ in standard form
Answer:
Its 1,600
Step-by-step explanation:
You just move the decimal the number the exponent is, in your case its positive 3 so you move it 3 to the right.
Hope this helps!
1.6 X 10³ written in standard form is 1600.
What is scientific form of numbers ?Scientific form of numbers are written in base multiplied by powers of 10.Where base is greater than or equal to 1 and less than 10.Can be expressed numerically as 1≤base<10.
Scientific form of number are compact and takes less space and they are raise to exponents.
According to the given question a number 1.6×10³ is written in scientific form we have to convert this number into standard form.
We know 10³ = 1000.
∴ 1.6×10³ = 1.6 × 1000.
= 1600.
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