Answer:
an = 2·2^(n-1)
Step-by-step explanation:
There are simple tests to determine whether a sequence is arithmetic or geometric. The test for an arithmetic sequence is to check to see if the differences between terms are the same. Here the differences are 2, 4, 8, so are not the same.
The test for a geometric sequence is to check to see if the ratios of terms are the same. Here, the ratios are ...
4/2 = 2
8/4 = 2
16/8 = 2
These ratios are all the same (they are "common"), so the sequence is geometric.
The general term of a geometric sequence with first term a1 and common ratio r is ...
an = a1·r^(n-1)
Filling in the values for this sequence, we find the general term to be ...
an = 2·2^(n-1)
Colby has $100. He buys five CD's that cost x dollars each, and then he buys
three DVD's for y dollars each. Write an algebraic expression for the amount
of money he has remaining (in terms of x and y).
Answer:
100-(5x+3y)
Step-by-step explanation:
100-(5x+3y) 5 cds cost x dollars plus 3 costs that cost y dollars equals the total amount of money he spends then subtract by 100 to find how much he has left
The current price for gasoline is $3.049 per gallon. A customer puts 7.45 gallons in her car. How much does she pay for the gas? Round your answer to the nearest cent.
Answer:
$22.72 for gas
Step-by-step explanation:
If each gallon costs $3.049, then we multiply the cost of each gallon by 7.45
3.049 x 7.45 = 22.71505
As the question asks us to round to the nearest cent in 22.71505, we would round up.
Your answer is $22.75 for gas
working together Alberto and Amanda can paint a fence in 4.12 hours. had she done it alone it would have taken Amanda 10 hours. find how long it would take Alberto to do it alone. A) 6.75 B) 5.02 c) 7.54 D)7.01
Answer:
D) 7.01
Step-by-step explanation:
The rates of doing work, in terms of jobs per hour, will add when the two painters are working together. If A represents Alberto's time to do the job alone, we have ...
1/4.12 = 1/10 + 1/A
(Jobs per hour is the inverse of hours per job.)
A = 1/(1/4.12 -1/10) ≈ 7.0068 ≈ 7.01
It takes Alberto 7.01 hours to do the job alone.
evaluate \frac{6x^3}{8x^2}
If log x (8x-3)-logx4=2, the value of x is or .
Answer:
[tex] x = \dfrac{1}{2} [/tex] or [tex] x = \dfrac{3}{2} [/tex]
Step-by-step explanation:
[tex]log_x (8x - 3) - log_x {4} = 2[/tex]
[tex] log_x \dfrac{8x - 3}{4} = 2 [/tex]
[tex]log_x (2x - \dfrac{3}{4}) = 2[/tex]
[tex] x^2 = 2x - \dfrac{3}{4}} [/tex]
[tex] 4x^2 - 8x + 3 = 0 [/tex]
[tex] (2x - 1)(2x - 3) = 0 [/tex]
[tex] 2x - 1 = 0 [/tex] or [tex] 2x - 3 = 0 [/tex]
[tex] 2x = 1 [/tex] or [tex] 2x = 3 [/tex]
[tex] x = \dfrac{1}{2} [/tex] or [tex] x = \dfrac{3}{2} [/tex]
Help me plz I don't know how to this I don't understand!!!
The answer is B.
In order for this chart to be true, each x and y pair must be proportional to the other ones. (in other words, each row of x and y should increase the same amount as the other ones.)
look at the first row. we can write this as 3/5 (x over y). then look at the third and fourth row. 6/10 = 3/5, and 9/15 = 3/5, so the pairs are proportional.
help foe bleh ppppfttttttttttt
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{1}{ {11} \: ^{12} } }}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ \frac{ {11}^{ - 4} }{ {11}^{8}} } [/tex]
To divide two numbers with the same base , we copy the base and subtract the indices
[tex] \dashrightarrow{ \sf{ {11}^{ - 4 - 8}}} [/tex]
[tex] \dashrightarrow{ \sf{ {11}^{ - 12}}} [/tex]
Using law of negative index
[tex] \dashrightarrow{ \sf{ \frac{1}{ {11}^{12} } }}[/tex]
Hope I helped!
Best regards!!
Answer:
A
Step-by-step explanation:
Thirty bouquets contain 750 rose stems. How many rose stems will 9 such bouquets hold?
Answer:
225 rose stems
Step-by-step explanation:
750 / 30 = 25 rose stems per bouquet
25(9) = 225 rose stems
Given the original statement "If a number is negative, the additive inverse is positive,” which are true? Select three options.If p = a number is negative and q = the additive inverse is positive, the original statement is p → q.
If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is ~p → ~q.
If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~q → ~p.
If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.
If q = a number is negative and p = the additive inverse is positive, the converse of the original statement is q → p.
Answer:
1, 2, and 4
Step-by-step explanation:
-6(-2x² + 6-3w²)
they said to remove the parenthesis using distributive property helpp me
Answer:
=18w2+12x2−36
Step-by-step explanation:
I hope this helps you
Answer:
18w^2+12x^2−36
Step-by-step explanation:
How do you find Slope on a graph?
you and your friend share a package of candies. You eat twice as many candies as your friend. If there were 36 candies in the bag, how many did you eat?
Answer: you ate 24 and your freind ate 12
Step-by-step explanation: x+2x=36
Which two fractions are equal to 2?
A .1/2
B.2/4
C.2/1
D.2/2
E.4/4
Answer:
1/2 2/4
Step-by-step explanation:
Answer:
it is C. 2/1
Step-by-step explanation:
because 1 goes into 2 twice
Somebody who knows this plz!!!!
answer it has to be correct :/
(Will mark as brainliest)
Answer:
Answer Below
Step-by-step explanation:
45) 96, 432, and 1092
46) 372 and 9404
47) 4168, 808, 216, and 5608
Answer:
the answer for 45 is 96,432,1092..
the answer for 46 is 378,9404...
the answer for 47 is 4168,808,216,5608..
please mark me as brainliast
What is the area of this shape? Explain why?
What is the product of -4(-15)? *
Answer: 60
Step-by-step explanation: -4x-15=60
Answer:
60
Step-by-step explanation:
negative times negative is equals to positive
A gopher was digging 8 inches below ground. To avoid a tree root, it dug 3 inches deeper. What is the position of the gopher now relative to the surface? To solve the problem, Miles subtracted 8–3 and came up with an answer of 11 inches. Is Miles correct? Why or why not?
Answer:
Miles is incorrect
8-3=5 not 11
8+3=11
Suppose triangle ABC is a right triangle. Side AB is 3 feet and side BC is 4 feet. Find the length of the hypotenuse, AC. Remember Pythagorean Theorem.
A. 25 feet
B. 5 feet
C. 16 feet
D. 4 feet
E. 9 feet
F. 3 feet
Answer:
5
Step-by-step explanation:
3 squared + 4 squared = c squared
3 squared= 9 4 squared= 16
9+16=c squared
25=c squared
5= c
Which of the following could be in section D? A.√99 B.60/15 C.-20 D.9.2
Answer:
A. and B.
Step-by-step explanation:
A natural number by definition is a number that spans from 1 to 100 it can't have decimals or negative numbers.
A. Natural number, the square root of 99 is 11 which is in the span of 1 to 100.
B. includes a natural number when you divide 60/15 you get 4 which is in the span of 1 to 100.
C. Incorrect, includes a negative number so it's not a natural number.
D. Not a natural number it includes decimals.
Find the value of x that makes m
m
n
(2x + 20)
(32°
Answer: x= 20
Step-by-step explanation:
If m and n are parallel then the 3x and 2x+20 has to have the same measures which means they have to equal each other . So set them equal each other and solve for x.
2x + 20 = 3x
-2x -2x
20 = 1x
x= 20
What are the new vertices of triangle QRS, shown, if the triangle is reflected across the line y = x, also shown? Question 6 options: A) Q′ = (–2,–3), R′ = (1,1), S′ = (2,–1) B) Q′ = (2,–4), R′ = (4,0), S′ = (3,–1) C) Q′ = (2,–5), R′ = (5,0), S′ = (2,–1) D) Q′ = (5,2), R′ = (0,5), S′ = (1,2)
Answer:
C
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , thus
Q(- 5, 2 ) → Q'(2, - 5 )
R(0, 5 ) → R'(5, 0 )
S(- 1, 2 ) → S'(2, - 1 )
The coordinates of the reflected point under a line y = x will be Q′ = (2,–5), R′ = (5,0), S′ = (2,–1).
What is a reflection of a point in coordinate geometry?The reflection of a point in coordinate geometry is the image formed concerning the x-axis, y-axis, or origin.
Under a reflection in the line y = x
A point (x, y ) has reflected point (- x, - y )
Thus,
The coordinates of the reflected point under a line y = x will be Q(- 5, 2 ) → Q'(2, - 5 )
The coordinates of the reflected point under a line y = x will be R(0, 5 ) → R'(5, 0 )
The coordinates of the reflected point under a line y = x will be S(- 1, 2 ) → S'(2, - 1 )
Thus, option C is the correct one.
Learn more about reflected ;
brainly.com/question/25029470
If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?
O 10
O 12
020
O 24
Answer:
10 sure️️️️️️️️ show to your teacher which class do you raed?
Answer:
C. 20Step-by-step explanation:
given:
exterior angle = 18°
to find the number of sides of a polygon:
the formula would be:
360 = exterior angle
n
360 = 18
n
n = 360/18
n = 20
therefore, the number of sides of a polygon is 20
WILL MARK BRAINLIEST IF RIGHT ALG2
IF YOU GET IT RIGHT THeN YOULL GET BRAINLIEST
Answer:
-51
Step-by-step explanation:
Ratio to percent 16:25
Item 4 The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x. An equation is =540. The solution is x= .
Let's set the sum of the angle measures equal to 540 degrees.
139 + 3x + 5x - 10 + 10x - 9 + 3x = 540
Let's combine like terms.
21x + 120 = 540
Subtract 120 from both sides.
21x = 420
Divide both sides by 21
x = 20
I am thinking of a number if you cut my number In half and multiply by 6 you get 150
Answer:
50
Step-by-step explanation:
Step 1:
(x ÷ 2) × 6 = 150
Step 2:
x ÷ 2 = 25
Answer:
x = 50
Hope This Helps :)
Is this correct? Just say yes/ no and gain 13 points
Answer:
No, it is 11 [tex]\frac{1}{3}[/tex] or 11 1/3
Step-by-step explanation:
what is the right answer
Answer:
{y≥1
,{y-x>0
Step-by-step explanation:
First of all you have to consider the shaded region. It is bound by two lines.
The first line is a solid line that cuts the y-axis at +1. it's equation is y = 1. since the shade region is on the upper side where y values increase, the unequivocally will be y≥1. notice that the sign ≥ is due to the solid line which indicates points on the solid line are part of the solution.
the second line is the broken line. it passes through the origin (0,0) and (1,1) any two points can be taken. the gradient is 1. m= (y1-y2)/(x1-x2) = (0-1)/(0-1)=(-1/-1)= 1. the equation of a straight line is
y=mx + c where m is gradient and c is the VA)ue of y as the line crosses the y axis ( y-intercept) which in this case is 0 at (0,0).so the equation will be y=1(x) + 0
y=x if we subtract x from both sides we have
y-x=0
since the shaded region is on the upper side as y-x increases the in equality will be
y-x>0 notice since the line is broken it shall be just > not≥ because points on a broken line are not included in the shaded region.
Please Help!! 8 Points!! Brainliest Answer!!
Answer:
right 5 down 3, I believe