the 8th term of the geometric sequence 8, 16, 32 is 1024
Explanationwe know that
geometric sequence 8, 16, 32
the question is
the 8th term
the answer is
first we have to find the ratio
[tex] \sf r= \frac{ U_2}{U_1} \\ \sf r= \frac{ 16}{8} \\ \sf r = 2 [/tex]
than, we have to find the 8th term
[tex] \sf U_n = ar^{n-1} \\ \sf U_8 = 8 \times 2^{8-1} \\ \sf U_8 = 8 \times 2^7 \\ \sf U_8 = 8 \times 128 \\ \bold {\sf U_8 = 1024} [/tex]
Learn moreAbout geometric pattern
https://brainly.com/question/16762536
Answer detailsgrade: 7th
subject: mathematics
chapter: sequence
keywords: geometric sequence
I don't understand this either what's this
Answer:
It's called a transversal lol
Step-by-step explanation:
I know that you were thinking that there should be a letter somewhere but you can't figure out the name of a line unless the name is shown lol
Pls mark Brainliest.
Write an explicit formula that represents the sequence defined by the following recursive formula
HELP IM TIMED
Answer:
The explicit formula is a[tex]_{n}[/tex] = 5 - 6n
Step-by-step explanation:
The explicit formula of the arithmetic sequence of the recursive formula
a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where
a is the first termd is the common difference between each two consecutive termsn is the position of the number∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6
→ Compare it with the formula above
∴ a = -1 ⇒ 1st term
∴ d = -6 ⇒ common difference
→ Substitute them in the form of the explicit formula
∵ a[tex]_{n}[/tex] = -1 + (n - 1)(-6)
∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)
∴ a[tex]_{n}[/tex] = -1 + -6n - (-6)
∴ a[tex]_{n}[/tex] = -1 - 6n + 6
→ Add the like term
∴ a[tex]_{n}[/tex] = 5 - 6n
∴ The explicit formula is a[tex]_{n}[/tex] = 5 - 6n
Mr. Lebsock is 1 year younger than 10 times Addy’s age. If Mr. Lebsock is 29, write and solve equation to solve for Addy’s age.
Answer:
3
Step-by-step explanation:
29 = 10x - 1
+4
30 = 10x
30 divided by 10 = 3
3 = x
So Addy is 3.
What's the mean median and range of 5, 15, 10, 20,15 10, 15
Answer:
Mean = 12.85714
Median = 15
Range = 15
Step-by-step explanation:
Mean:
5 + 15 + 10 + 20 + 15 + 10 + 15 = 90
90 / 7 = 12.85714
Median:
5, 10, 10, 15, 15, 15, 20
Median = 15
Range:
20 - 5 = 15
Find f(-2) for f(x) = 3•2^x.
A. 1/36
B. 3/4
C. -12
D. -36
I believe it's negative thirty six or -36
Does the graph represent a function?
Step-by-step explanation:
yes dear. .............
the area of a rectangle is 30m^11 square feet . if the length of the rectangle is 6m^4 feet what is the width of the rectangle?
NEED HELP TO FIND x ASAP!!!!!!!!!
Tamara has a cell phone plan that charges $0.07 per minute plus a monthly fee of $19.00. She budgets $29.50 per month for total cell phone expenses. What is the maximum number of minutes Tamara could use her phone each month in order to stay within her budget?
Answer:
525 minutes
Step-by-step explanation:
Given that the monthly fee for the phone is $19 and the call charges rate is $0.02 per minute.
Her monthly budget is $29.50.
Let Tamara can make a maximum number of n minutes call in a month.
So, call charges for n minutes = $0.02n
Total monthly expenses on her phone = 19+0.02n
As her monthly budget is $29.50.
So, 19+0.02n=29.50
0.02n=29.50-19
0.02n=10.50
n=10.50/0.02
n=525
Hence, she can make a maximum of 525 minutes call.
How many times does a dragonfly’s wing beat per minute if the beats are 38 per second
Answer:
2280 beats per minute
Step-by-step explanation:
38*60 sec/min = 2280
hope this helps, pls mark brainliest :D
two people walk in a store then fives more people walk in the srores two walk out how many people are in the store?
Answer:
5....I guess...is it a brain teaser?
hi! im quite confused on this. can someone please help me? ill give brainiest if youre correct :)
Answer:
I believe the answer is D
Step-by-step explanation:
after 3 hours it traveled 120 miles so divide that by the 3 hours and it gives you 40 miles per hour giving you the slope and the y int would be negative 300 because he started 300 miles aways from Denver
Answer:
The answer seems to be D
Step-by-step explanation:
I cannot really confirm but I am most certain it is D.
A real estate agent sells a house for $92,000. She receives a 6% commission on the sale of the house. How much did she earn on the sale? Round your answer to the nearest cent. Pls help i need thins in less than 5 minuets pls
$5,520.00 there ya go
The owner of a grocery store wants to mix two kinds of condy together to make 15lb that he can sell for $5.00 per lb. He wants to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb. How many pounds of each should the owner use?
Answer: 6 pounds of sugar candy, and 9 pounds of chocolate candy.
Step-by-step explanation:
Let's define the variables:
C = pounds of chocolate candies used.
S = pounds of sugar candies used.
We know that he wants to make a total of 15lb, then:
C + S = 15
We also want that the price per pound to be equal to 5$.
This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.
C*$7.00 + $2.00*S = $5.00*15
Then we have a system of equations:
C + S = 15
C*$7.00 + $2.00*S = $5.00*15
To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:
C = 15 - S
now we can replace that in the other equation:
(15 - S)*$7.00 + $2.00*S = $5.00*15
Now we can solve this for S.
$105 - $5.00*S = $75
$105 - $75 = $5.00*S
$30 = $5.00*S
$30/$5 = S = 6
Then there are 6 pounds of sugar candy, and we can use the equation:
C + S = 15
C + 6 = 15
C = 15 - 6 = 9
There are 9 pounds of chocolate candy in the mix.
Answer:
9 pounds of chocolate candy
6 pounds of sugar candy
Step-by-step explanation:
x will represent pounds of chocolate candies used
y will represent pounds of sugar candies used
x + y = 15
x · $7.00 + $2.00 · y = $5.00 · 15
x = 15 - y
(15 - y) · $7.00 + $2.00 · y = $5.00 · 15
105 - $5.00 · y = 75
105 - 75 = $5.00 · y
$30 = $5.00 · y
$30 ÷ $5 = y
$30 ÷ $5 = 6
y = 6
x + y = 15
x + 6 = 15
x + 6 - 6 = 15 - 6
x = 9
The length and width of one rectangle are 8 and 5.
The width of the other rectangle is 5, but its length is unknown so we label it `x`.
Answer:
fksfk
Step-by-step explanation:
Answer: x is 8
Step-by-step explanation:
What point is on both lines y=12x+3 and y=x+1
(no graph)
Step-by-step explanation:
by having two equations that have the same point, you can set the two equations equal to each other
y = 12x + 3, y = x + 1
12x + 3 = x + 1
11x = -2
x = -2/11
when you find the the x value, plug it back into either one of the equations
y = x + 1
y = (-2/11) + 1
y = 11/11 - 2/11
y = 9/11
the point (solution):
(-2/11, 9/11)
Answer:
(-2|11, 9|11)
Step-by-step explanation:
hope it helps
Solve linear equations
Solve for x
3х – 10 = 16
Answer:
x=26/3
Step-by-step explanation:
3x-10=16
add 10 to both sides
3x=16+10
simplify
3x=26
divide both sides by 3
x=26/3
What is the area of a 16 x 9 foot rectangle?
Answer:
144 square foot
Step-by-step explanation:
Area of rectangle: Length × breadth
Area of rectangle = 16 × 9
= 144 square foot
Please help this is due right now!
Answer:
i believe its B
Step-by-step explanation:
Okay. B because your paying more than store A so B will pay the phone off faster than store A . if i am wrong let me know.
If BFD and AFC are right angles and
m CFD = 72°, what is the value of x?
18
36
108
72
Answer:
72
Step-by-step explanation:
If BFD is a right angle and it gives you CFD that means that you do 90 - 72 to find CFB cause it 90 all togther
CFB = 18 deg
now it also tells us CFA is a 90 deg angle so we do the same thing
90 - 18 = 72
To pass a quiz, students need a score of at least 32 points out of a total of 40 points. At least what percent do the students need to pass the quiz
Answer:
80%
Step-by-step explanation:
Hope this helps :)
Help me I know it easy it just to give points I already know the answer but still answer it correctly and you will get brainliest.
Answer:
21-25 actors
Step-by-step explanation:
helllllllllllllllllllllpppppppppppp meeeeeeeeeeeeee
Answer: I think the answer is x = 4
Step-by-step explanation: 28 = 7x
/7 /7
4 = x
Kyle is buying a book online for $14.58. It is on sale for 10% off. What is the sale price with a 8.25% tax?
First, find the discount by finding 10% of $14.58. To do this, convert 0% into a decimal and multiply by $14.58.
14.58 x 0.1 = 1.458.
Since this a sale price, how much he is getting off, subtract from the total.
14.58 - 1.458 = 13.122.
We still have to find the sales tax. Solving is similar to finding the discount.
13.122 x 0.0825 = 1.082565.
Now, since it is a tax, add to the total.
13.122 + 1.082565 = 14.204565
Round to the nearest hundredth, and you have $14.20.
The sale price with after tax is $14.20.
evaluate f(2)=-3x+1
Answer:
your answer would be -5
Step-by-step explanation:
f(2)=-3x+1 times everything by 2
make sure you keep your negatives then minus -6 from 2
Adam rode in a bike-a-thon. At the end of each hour of the bike-a-thon, he recorded the total distance he had traveled since the bike-a-thon began. This is shown in the table below. Based on this table, is the total distance traveled by Adam a function of time?
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.
Step-by-step explanation:
Answer: no, because it’s he total distance of 32 miles is repeated in the table
Step-by-step explanation:
I passed the test
The table represents some points on the graph of a linear function.
Which function represents the same relationship?
Answer:
C
Step-by-step explanation:
The equatipn of the function that represents the same relationship is
h(x)=-3x-10.5
Equation of a line :The slope intercept form of equation of line is y=mx+b
where m is the slope and b is the y intercept .
We are given with a table that represents the linear function
Pick any two points from the table to find out slope
(-3.5,0) and (-1,-7.5)
[tex]slope =\frac{y_2-y_1}{x_2-x_1} =\frac{-7.5-0}{-1+3.5}=-3[/tex]
Now we find out y intercept b . use point slope form
[tex]y-y_1=m(x-x_1)\\m=-3 and (-3.5,0)\\y-0=-3(x+3.5)\\y=-3x-10.5[/tex]
The equation of the function that represents the same relationship is
h(x)=-3x-10.5
Learn more information about 'Equation of lines' here
brainly.com/question/27232782
12 (10x + 15) – 32 = 2x + 6 + 3x
Answer:
x=154/115
Step-by-step explanation:
120x+180-32=2x+6+3x
120x-148=5x+6
115x=154
x=154/115
Solve the inequality x + 2 ≥ 8
Answer:
the answer is x ≥ 6
Step-by-step explanation:
x ≥ 8 - 2
x ≥ 6
Claire correctly solved the proportion StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction for x by using cross products to get the equation 16 x = 144 and then dividing both sides by 16 to get x = 9. She showed that she can use cross products to solve the proportion because she gets the same answer if the solves it as shown.
StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction. StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4. x = StartFraction 144 over 16 EndFraction. X = 9.
What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4 ?
Answer:
The property used here is: Multiplication property of Equality
Step-by-step explanation:
Claire solved the expression [tex]\frac{x}{4}=\frac{36}{16}[/tex] by two ways
Way 1: Solving using proportion:
[tex]\frac{x}{4}=\frac{36}{16}[/tex]
By cross multiplying:
[tex]16x=144[/tex]
Divide both sides by 16
[tex]x=9[/tex]
Way 2:
She also solve the same expression [tex]\frac{x}{4}=\frac{36}{16}[/tex] by using following steps
Multiply both sides by 4
[tex]4\times( \frac{x}{4})=4\times(\frac{36}{16})\\x=\frac{144}{16}\\x=9[/tex]
We need to tell the name of property that allowed her to go from [tex]\frac{x}{4}=\frac{36}{16}[/tex] to [tex]4\times(\frac{x}{4})=4\times(\frac{36}{16})[/tex]
The property used here is: Multiplication property of Equality
The property states that if A , B and C are real numbers then
A = B and AC = BC are equivalent.
Answer:
C
Step-by-step explanation:
