Determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form
15, 11 ,7, …
Answers
Answer:
This is the arithmetic sequence which has a common difference that equals to -4.
Step-by-step explanation:
An arithmetic sequence is a sequence with common difference. A common difference can be found by subtracting previous term with next term.
A common difference can be expressed in [tex]\displaystyle \large{d=a_{n+1}-a_n}[/tex] where d stands for common difference.
________
Moving to the question given. We have a sequence with given 15,11,7, ... first subtract 15 with 11.
11-15 = -4
7-11 = -4
Therefore, we can conclude that the common difference is -4 thus making the given sequence an arithmetic.
Let me know if you have any question so regarding the sequence!
Related Questions
Help help math math math
Answers
Answer:
10
Step-by-step explanation:
substitute -8 into x.
f(-8)=-8+18=10
Answer:
10
Step-by-step explanation:
84/120 equivalent fraction
Answers
Answer:
7/10
this should work
Step-by-step explanation:
Out of 250 million cars on the road in US, about 3.5% are diesel. What percentage are not diesel?
Answers
Answer:
96.5%
Step-by-step explanation:
Answer:
241250000 cars aren't diesel (Basically 96.5%)
Step-by-step explanation:
250 million = 250000000
If we are talking about the percentage of cars that aren't diesel, we have two ways of solving this. (I'm gonna solve for not just percentage but for amount too)
1. Find out the percentage that isn't diesel by subtracting 3.5% from 100% and then multiplying the answer to get the result.
or
2. We find out what 3.5% of 250 million is and then subtract that from 250 million
Now to make this short, I will do the first one.
100-3.5 = 96.5
96.5% x 250,000,000 = 241250000
a cookie recipe included 2/3 cups of sugar for 12 cookies, how many cups of sugar will you need if you wanted to make 42 cookies
Answers
Answer:10/6 cups of sugar is the answer to this equation being the correct answer.
Step-by-step explanation:
What is the "theoretical yield" of cookies from each of the "reactants?"
Captain Brewster captured a pack of aliens. The following data points represent the lengths of each of the aliens' big toes (in centimeters). 18, 16, 17, 17, 16, 15, 16. Using this date, create a dot plot where each dot represents a big toe.
Answers
Answer:
15 ·
16 ···
17 ··
18 ·
19
Step-by-step explanation:
There were 2 aliens that each have big toes measuring 17 cm long. So, the 17 would have 2 dots above it:
17 ··
1. Divide
(7x2 - 13x+4) - (x-1
)
Answers
Answer:7 x 2 − 14 x + 5
Step-by-step explanation:
1 In general, given a{x}^{2}+bx+cax
2
+bx+c, the factored form is:
a(x-\frac{-b+\sqrt{{b}^{2}-4ac}}{2a})(x-\frac{-b-\sqrt{{b}^{2}-4ac}}{2a})
a(x−
2a
−b+
b
2
−4ac
)(x−
2a
−b−
b
2
−4ac
)
2 In this case, a=7a=7, b=-14b=−14 and c=5c=5.
7(x-\frac{14+\sqrt{{(-14)}^{2}-4\times 7\times 5}}{2\times 7})(x-\frac{14-\sqrt{{(-14)}^{2}-4\times 7\times 5}}{2\times 7})
7(x−
2×7
14+
(−14)
2
−4×7×5
)(x−
2×7
14−
(−14)
2
−4×7×5
)
3 Simplify.
7(x-\frac{14+2\sqrt{14}}{14})(x-\frac{14-2\sqrt{14}}{14})
7(x−
14
14+2
14
)(x−
14
14−2
14
)
4 Factor out the common term 22.
7(x-\frac{2(7+\sqrt{14})}{14})(x-\frac{14-2\sqrt{14}}{14})
7(x−
14
2(7+
14
)
)(x−
14
14−2
14
)
5 Simplify \frac{2(7+\sqrt{14})}{14}
14
2(7+
14
)
to \frac{7+\sqrt{14}}{7}
7
7+
14
.
7(x-\frac{7+\sqrt{14}}{7})(x-\frac{14-2\sqrt{14}}{14})
7(x−
7
7+
14
)(x−
14
14−2
14
)
6 Simplify \frac{7+\sqrt{14}}{7}
7
7+
14
to 1+\frac{\sqrt{14}}{7}1+
7
14
.
7(x-(1+\frac{\sqrt{14}}{7}))(x-\frac{14-2\sqrt{14}}{14})
7(x−(1+
7
14
))(x−
14
14−2
14
)
7 Remove parentheses.
7(x-1-\frac{\sqrt{14}}{7})(x-\frac{14-2\sqrt{14}}{14})
7(x−1−
7
14
)(x−
14
14−2
14
)
8 Factor out the common term 22.
7(x-1-\frac{\sqrt{14}}{7})(x-\frac{2(7-\sqrt{14})}{14})
7(x−1−
7
14
)(x−
14
2(7−
14
)
)
9 Simplify \frac{2(7-\sqrt{14})}{14}
14
2(7−
14
)
to \frac{7-\sqrt{14}}{7}
7
7−
14
.
7(x-1-\frac{\sqrt{14}}{7})(x-\frac{7-\sqrt{14}}{7})
7(x−1−
7
14
)(x−
7
7−
14
)
10 Simplify \frac{7-\sqrt{14}}{7}
7 7− 14 to 1-\frac{\sqrt{14}}{7}1− 7 14
7(x-1-\frac{\sqrt{14}}{7})(x-(1-\frac{\sqrt{14}}{7}))
7(x−1− 7 /14 )(x−(1− 7 14 )) 11 Remove parentheses.
7(x-1-\frac{\sqrt{14}}{7})(x-1+\frac{\sqrt{14}}{7})
7(x−1− 7/ 14 .7(x−1+ 7 14 )
A certain music club charges an annual membership fee of $99, in return, its members will be able to buy and download songs at a very low cost of 10 cents each. If Tyna spent a total of $149.30 including the membership fee, how many songs did she buy?
A) 99+10x=149.30
B) 99-10x=149.30
C) 99-0.1x=149.30
D) 0.1x+99=149.30
Answers
Answer:
D). 0.1x+99=149.30
How many songs Tyna Bought:
503 songs
Step-by-step explanation:
Since the membership fee is 99 you don't have to pay for it again
(Until next year that is)
Now it states that every download cost 10 cents or $0.1
So we don't know how many she will buy so we can replace that unknown value with x
So the equation is
0.1x+99=149.30
To solve this you first subtract 99 on both sides:
Which will result in
0.1x=50.3
Divide 0.1 on both sides
So Tyna bought 503 songs
(HOLY THAT IS A LOT OF SONGS)
Hope this Helps!
if EF = 8x + 16, FG = 60, and eg = 156, find the value of x
Answers
Answer:
10
Step-by-step explanation:
8x+16+60=156
8x+76=156
8x=80
x=10
Help help math math math
Answers
Answer:
10000
Step-by-step explanation:
you have four digits and each one of them can be 0-9, so 10 possibilities for each digit
10×10×10×10= 10,000
Answer:
160
Step-by-step explanation:
I believe the answer is 160 because it is a four-digit passcode, and 10 different numbers can be used ( 10 * 4 = 40, and 40 * 4 = 160).
50 POINTS FOR EACH PERSON PLSSSSS HELP!!!!!
∫[tex]x^{\frac{3}{2} }[/tex]㏑(x) dx
Answers
Answer:
Look at images below ^^
Step-by-step explanation:
I'm not sure if they are correct, since I'm not there yet. But I hope it's correct.
you went to a coffee house with 2 friends and ordered an iced coffee and dessert which came to $12.96 how much is the tip if the rate is 15%
Answers
Answer:
its 1.944
Step-by-step explanation:
Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.
5. Linda earns $95 per day. If she works of a day, how much will she earn?
Answers
Answer:
95 Dollars
Step-by-step explanation:
95 dollars because she earns 95$ per day and it says "of a day" so it would have to be 95*1, and 95*1 is 95 and it asks how much she earns as in money so it is 95 dollars.
Which inequality does the graph represent?
Answers
Answer:
x < -y + 1
Step-by-step explanation:
(g, 6) and (-5, -9)
Slope = 3/2
Answers
Answer:
g=5
Step-by-step explanation:
(-9)-(6) / (-5)-(g) = 3/2
3 x -(g+5) = 2 x -15
g+5=10
g=5
Answer:
g=15
Step-by-step explanation:
we first can substitute in (-5,-9) into the x and y variables in y=mx+b as well as the slope:
so we get:
-9=3/2(-5)+b
now lets solve for b:
3/2 x -5 = -15/2
-9=-15/2+b
now add the -15/2 on both sides of the eqaution:
b=-33/2
now lets substitute it back in:
y=3/2x-33/2
NOW lol substitute the 6 in to find g:
6=3/2g-33/2
solve from here to get
45/2=3/2g
multiply by 2 on each side
45=3g
divide both sides by 3:
g=15!!!!!!!!!!!!!!
I hope this helped sry it took long lol
Which model shows the greater rate of change
Answers
Answer:
Model B
Step-by-step explanation:
In Model A as x increases by 2 y decreases by 1. So as x increases by 1 y decreases by 0.5 giving us a rate of change of -0.5
In Model B we have a slope of 2/3 (because as x inreases 2 times y increases 3 times)
-0.5 < 2/3
PLEASE HELP DUE RIGHT NOW!!!
Answers
Answer:
linear
Step-by-step explanation:
The equation of a line is given below.
2x + 5y = -5
Find the slope and the y-intercept.
Then use them to graph the line.
Answers
Answer:
y=-2/5x-1
Step-by-step explanation:
2x+5y=-5
Step 1: Add-2x to both sides.
2x+5y=-5
+-2 +-2
5y=-2x-5
Step 2: Divide both sides by 5.
5y ÷ 5 = -2x-5÷5
y=-2/5x-1
Find the following:
sin A
cos A
tan A
cot A
sec A
csc A
Answers
Step-by-step explanation:
we use the law of sine :
sin(A)/a = sin(B)/b = sin(C)/c
with the related angles being opposite of the lines.
so, we have
sin(A)/1 = sin(A) = sin(90)/ sqrt(10) = 1/ sqrt(10) =
= 0.316227766...
cos²(A) + sin²(A) = 1
cos(A) = sqrt(1 - sin²(A)) = sqrt(1 - 0.1)) = sqrt(0.9) =
= 0.948683298...
tan(A) = sin(A)/cos(A) = 0.333333333...
cot(A) = 1/tan(A) = 3
sec(A) = 1/cos(A) = 1.054092553...
csc(A) = 1/sin(A) = 3.16227766...
Hemp help help math math
Answers
Answer:
This is not a linear function, as it isn't any function because 3 has two outputs.
Step-by-step explanation:
Explained above
Shown is a pentagon, with the size of
each angle shown. Work out the largest angle.
Answers
Answer:
160°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5 , then
sum = 180° × 3 = 540°
sum the interior angles and equate to 540
x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is
7x + 50 = 540 ( subtract 50 from both sides )
7x = 490 ( divide both sides by 7 )
x = 70
Then
largest angle = 2x + 10 = 2(70) + 10 = 140 + 10 = 150°
The solution is : the largest angle is 150°.
What is the polygon?A polygon is a two-dimensional geometric figure that has a finite number of sides. The sides of a polygon are made of straight line segments connected to each other end to end. Thus, the line segments of a polygon are called sides or edges.
here, we have,
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5 , then
sum = 180° × 3 = 540°
sum the interior angles and equate to 540
x + 10 + 2x + 10 + x + 10 + 2x+ x + 20 = 540 , that is
7x + 50 = 540 ( subtract 50 from both sides )
7x = 490 ( divide both sides by 7 )
x = 70
Then
largest angle = 2x + 10
= 2(70) + 10
= 140 + 10
= 150°
Hence, The solution is : the largest angle is 150°.
To learn more on polygon click:
brainly.com/question/24464711
#SPJ2
If f(x) = 2x2 + 3x and g(x) = x 2- 7, find (f +g)(x)
Answers
Answer:
3x²+3x-7
Step-by-step explanation:
(f+g)(x)=2x²+x²+3x-7
=3x²+3x-7
An elevator company claims "for every 15 inches of cable, we can hold up to 32 pounds". Each elevator comes with a standard length of 18 inches for their cable. If an elevator has a
weight limit of 800 lbs, how many additional inches of cable were used?
Answers
375 inches of cable were used for an elevator with weight limit of 800 lbs
Let y represent the weight in pounds and x represent the inches of cable.
Since y and x are proportional:
y = kx,
k is the constant of proportionality.
15 inches of cable, we can hold up to 32 pounds. Hence:
32 = 15k
k = 2.13 pounds per inch
y = 2.13x
For a weight of 800 lbs, y= 800:
800 = 2.13x
x = 375 inches
375 inches of cable were used for an elevator with weight limit of 800 lbs
Find out more on equation at: https://brainly.com/question/2972832
A small toy rocket is launched from a 24-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula
h = - 2t^2+ 2t + 24.
How long will it take the rocket to hit the
ground?
Answers
Answer:
4 seconds
Step-by-step explanation:
Since we want to know the time when the height is 0, we can rewrite the problem as [tex]0=-2t^2+2t+24[/tex]. From there, we can plug it into the quadratic formula, which gives us [tex]\frac{-2-\sqrt{4-4(-2)(24)} }{2(-2)}[/tex](Since it's a real-world problem and we have a negative denominator, we won't be using the positive square root). We simplify this to get [tex]\frac{-2-\sqrt{196} }{-4}[/tex], then [tex]\frac{-2-14}{-4}[/tex]. Finally, we can calculate this to be 4 seconds.
Can someone check my answer?? PLEASE-
The length of a rectangle is six more than the width. If the perimeter of the rectangle is 40 ft, find the length of the rectangle.
A. 13 ft (what I think) ****
B. 7 ft
C. 23 ft
D. 17 ft
Answers
Answer:
the length of the rectangle is 13 ft.
Step-by-step explanation:
width of a rectangle x ft
length of a rectangle x+6 ft
the perimeter of the rectangle is 40 ft,
2(x+x+6) = 40
2x+6 = 20
2x = 14
x = 7
So the length of the rectangle is x+6 = 7+6 = 13 ft
congrats you're right (≧▽≦)!!
Answer:
The correct answer ia A)13 ft
Step-by-step explanation:
hope this helps
The ratio of the number of cups of red paint to the number of cups of yellow paint that Garcia mixed to make a shade of orange paint is 4:1.
Part A: Write a sentence to describe the number of cups of red paint that Garcia mixed with each cup of yellow paint. (4 points)
Part B: How many cups of yellow paint should Garcia add to each cup of red paint to make the shade of orange? Explain your reasoning. (4 points)
Part C: If Garcia purchased 6 cups of red paint for $42, what is the unit price per cup of red paint? (2 points)
Pls answer i need help
Answers
Answer:
Uggghhh
Step-by-step explanation:
I dont know
Answer:
Part A: Garcia mixed 4 cups of red with 1 cup of yellow.
Part B: 1/4 because 4 cups of red requires 1 cup of yellow, so 1 divided by 4 is 1/4.
Part C: $7
Hope this helps! :)
Step-by-step explanation:
Complete the table of values for
1
0
1
1
1
1
1) On the writ, draw the graph of
12
1
0
(0) Use your graph to find
(1)
the value of when x 1.5
(b) the value of x when y6
26
6
Answers
Answer:
can't see the pic properly
6) Solve
5x < -10
AX <-2
B) x>-2
CXC-15
D) x < -50
Answers
Hey there!
5x < -10
DIVIDE 5 to BOTH SIDES
5x/5 < -10/5
CANCEL out: 5/5 because it gives you 1
KEEP: -10/5 because it helps solve for the x-value
NEW EQUATION: x < -10/5
SIMPLIFY IT!
x < -2
It is an OPEN circle shaded to the RIGHT
Therefore, your answer should be:
Option A. x < -2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Amy was scheduled for 12 intervals this week. One her first interval, she had a technical issue that prevented her from working for 15 minutes. This issue was reported to a diagnosed by Arise Technical Support, in which they issued an individual Waiver. Amy also looked at her schedule wrong, and computer missed three intervals in a row. What was her CA%
Answers
Based on the total of intervals vs the number of intervals Amy attended her CA percentage is 75%
What is the CA percentage?The CA percentage measures the commitment of an employee to be logged in during the intervals that were assigned to him/her to work.
In this way, the CA percentage is equal to 100% if the employee worked as scheduled. Moreover, this percentage can be affected by factors such as:
Technical issues.Human errors.In the case of Amy, there is a total of 12 intervals and it is known:
She had a technical issue that prevented her from working, but this was reported so it is unlikely this is considered in her CA.She missed three intervals because she looked at her schedule wrong.Based on this information, let's calculate her CA:
12 intervals = 100%9 intervals = xx = 9 x 100 / 12x = 900 / 12x = 75%Learn more about percentage in: https://brainly.com/question/8011401
PLSSS help now!!!!!! Will mark Brainlyest !!!
Answers
Hope this helps :)
Answer:
(7, -4)
Step-by-step explanation:
Rotation 180° causes both coordinates to change sign. It is the same as reflection across the origin, or reflection across both the x- and y-axes.
The image point is (7, -4).
The set-up cost for a machine that attaches snaps on clothing is $1,100. After set-up,
it costs $0.12 for each snap to be attached. A newer machine has come out that has
a set-up cost of $1,520. With the new machine, it only costs $0.09 for each snap to
be attached. How many snaps would the company have to attach to make the
purchase of the newer machine worthwhile?
Answers
Answer:
14,001
Step-by-step explanation:
old machine: 1,100+.12x
new machine: 1,520+.09x
if you plug in 14,000 for x, you get
old machine: 2,780
new machine: 2,780
therefore, you need 1 over 14,000 for it to be worth it because
if you plug in 14,001 for x, you get
old machine: 2,780.12
new machine: 2,780.09
which makes the new machine $.03 cheaper at this point (and the more snaps attached, the more the new machine will be worth it)
hope this helps!