Answer:
The common ratio of the geometric sequence is -4
Step-by-step explanation:
Geometric Sequence
A geometric sequence is defined as a series of numbers that follow a fixed pattern: Each term equals the previous term times a fixed number called the common ratio. The recursive formula is:
[tex]a_n=a_{n-1}*r[/tex]
Where r is the common ratio.
We are given three terms of a geometric sequence:
18,-72,288,...
To find the common ratio, just divide each term by the previous term:
[tex]\displaystyle r=\frac{-72}{18}=-4[/tex]
Make sure it's a fixed number and test with the third term:
[tex]\displaystyle r=\frac{288}{-72}=-4[/tex]
Since both numbers coincide, the common ratio of the geometric sequence is -4
At the movie theatre's a medium, 44 oz., coke costs $8.80. What is the price per ounce?
2 cents per ounce.
Work
$8.80 divided by 44
700 borrowed using a simple interest for 6 years at a rate of 5%, what is the interest amount?
Answer:
210
Step-by-step explanation:
I= p x r x t
I = 700 x 5/100 x 6
I= 700 x 0.05 x 6
I= 210
11.
What must the slope of a line be if it is parallel to the line
12x + 8y = -6?
A) –
B)
C) 1
D) -12
3
WIN
2
o
A
O
B
С
o o
D
Answer:
A) -3/2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Write equation
12x + 8y = -6
Step 2: Write in slope-intercept form
Subtract 12x on both sides: 8y = -12x - 6Divide both sides by 8: y = -3/2x - 3/4Step 3: Find slope
Slope of a parallel line always has the same slope of the original line.
m = -3/2 (Original)
m = -3/2 (Parallel)
Write the slope intercept form of the equation of the line through the given point with the given slope.
1) through: (3,4), slope = 2
2) through: (5,-5), slope=-6/5
Answer:
1) y = 2x-2
2) y = -6/5+1
Step-by-step explanation:
Convert 13/2 to a decimal using long division.
Answer:
6.5
Step-by-step explanation:
Divide 13 by 2 to get 6.5
Answer: 13/2 = 6 with a reminder of 1
Step-by-step explanation: Attached image should show you my work.
Between which two consecutive integers does 85 square lie
Answer:
:)
Step-by-step explanation:
9 & 10
go add the snap carmel.bratz
Why is this number not in scientific notation?
36.5 x 10 6
Simplify the following problem.
(-8+61) +(6+61)
Answer: -8+61 = 53 and 6+61 = 67
Beverly wants to make 2 1/2 recipes of play clay for her daughter’s birthday party. How much salt will she need in all?
Answer: D
Step-by-step explanation:
To find the answer for this problem, you will need to convert all the terms into improper fractions. Since you want 2 1/2 of the recipe, you need to multiply by 2 1/2.
2 1/2 = 5/2
3 2/3 = 11/3
And then you would multiply and solve:
5/2 * 11/3 = 55/6
55/6 = 9 1/6
The answer is D :)
Answer:
There are 3 2/3 teaspoons of salt
Step-by-step explanation:
Jerry can frame a room in 1 hour, while Jake takes 4 hours. How long would it take for them to frame a room working together?
Answer:
45 minutes
Step-by-step explanation:
If two people work together, the time it takes to frame will obviously be shorter. Since Jake Takes four times longer, he will only cut off a fourth of Jerry's time. Which is 15 mins. 60 mins - 15 mins = 45 mins.
The least common multiple that is divisible by both a and b is the smallest positive integer. It will take 4/5 hours for Jerry and Jake to frame a room working together.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
Jerry can frame a room in 1 hour. Therefore, the rate at which Jerry frame the room is,
Rate of Jerry = 1/1 room per hour
= 1 room per hour
Jake can frame a room in 4 hours. Therefore, the rate at which Jake can frame the room is,
Rate of Jake = 1/4 room per hour
Now, the rate at which they two will work together is,
Rate of working together = 1 + 1/4 room per hour
= 5/4 room per hour
Further, the time it will take for the two of them to frame a room working together is,
Time = 1/Rate
= 4/5 hour
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You have acummulated $85,000 in student loans that average 5% interest
Answer: The student will have to pay $900 per month including intrest and a portion of principal
Help please I’m stuck on a few of these
Answer:
27
Step-by-step explanation:
Basically how it works is that the second f() shows an x where the 3 is, so you plug 3 in for x into the equation. 3 squared or 3 to the power of 2 is 9 because 3 x 3 = 9, and 9 times 3 is 27.
Hope this helps!
INVERSE FUNCTIONS
If the f has a power of -1, then it means the inverse, or the opposite of the function, so you can either switch the y and x values in the function, as the f(x) is also used to represent y, while x is x. You can switch the function to x=3y^2.
BUT THIS IS ONLY FOR INVERSE FUNCTIONS OVER AND UP.
What is 7+7 and 9-12
Answer:
Step-by-step explanation:
7+7= 14
And
9-12= -3
-3x - 8 = 10
Help. solve for X
Answer:
x= -6
Step-by-step explanation:
Answer:
x = -6
Step-by-step explanation:
can i have brainlest pls
A scientist measured the water pressure at different depths. She made a table showing her findings. The x-values represent the depth, in meters. The y-values represent the pressure in atmospheres (atm).
x
y
0
0
15
3
30
6
Assuming there is a proportional relationship, which additional set of values could be included in the table?
Answer:
100,70 is the answer I took the test
Answer:
The answer is A ppl
Step-by-step explanation:
PLZ HELP FAST GIVING 50 points and brainliest
Answer:-0.253624
Step-by-step explanation:
Answer:
0.253624
Step-by-step explanation:
What is 4 + 8m < 2 (2m
4)
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
hhhhhhhhhhhhhhhhhuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu
What is 1/20 written as a percent
0.5%
5%
10%
20%
Answer:
the answer is 5 percent
Answer: 5%
Step-by-step explanation:
1/20 = 5/100
5/100 = 5%
$24 lunch;15% tip.
I NEED HELP
Answer:
3.60
Step-by-step explanation:
The amount of tip will be $3.6.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the restaurant bill for lunch is $24 and the tip given to the waiter is 15% of the total amount.
The total amount will be calculated as:-
Amount of tip = 24 x 15%
Amount of tip = 24 x 0.15
Amount of tip = $3.6
Hence, the tip amount will be $3.6
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The graph of y = x4 - 2x2 + 1 is shown.
Answer:
the answer is89 why 838+3838+3838×908=72
A group of friends bought 6 movie tickets. they used a coupon for $2.00 off the cost of one of the tickets, and their total cost with the coupon was $50.50. write an equation that can be used to determine the regular cost C of each movie ticket
Answer:
each ticket is $8.75
Step-by-step explanation:
c=8$8.75
The equation that can be used to determine the cost of each movie ticket is C = $48.50 / 6.
What is the equation that can be used to determine the cost of each movie ticket?Total cost of the 6 movie tickets = (6 x cost of each ticket) - value of one coupon
50.50 = 6C - $2
Combine similar terms
$50.50 - $2 = 6C
$48.50 = 6C
Divide both sides of the equawtion by 6
C = $48.50 / 6
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Add the fractions. Write your answer as a mixed number 3/5+4/5
Answer:
Step-by-step explanation:
3 + 4 = 7.
the denominator stays the same. You only add the numerators.
7/5 in mixed number form is 1 2/5 because 7 goes into 5 once. so kinda like 7 - 5 = 2. and the 2 goes on top now.
Compare 167.4 and 167.462.
Answer: <
Step-by-step explanation:
167.4=167.40 so 167.462 is greater. It’s correct. Trust me.
Simplify 4(3x - 1) = 2(6 + 2x)
14x - 13
8x -16
8 + 16x
14x + 13
Answer:
8 + 16x
Step-by-step explanation:
Convert into linear equations
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The slack variables make up the difference between the sum of the utilizations and the limit. A separate slack variable is needed for each limit. As with the other variables, its minimum value is zero.
For ( ) ≤ lim constraints, the slack variables are on the left side of the equal sign:
( ) +s ≤ lim.
__
For ( ) ≥ lim constraints, the slack variables can be on the right side of the equal sign:
( ) = s + lim
The more usual representation in a linear programming matrix is ...
( ) - s = lim
__
Here, your constraints are "≤", so each equation will have a unique slack variable added to the left side sum.
Can someone help me plzzz algebra isn’t my strong suit
Answer:
1. 21+5f = 61
2. 18+5n=50.50
3. 40+30s=220
Step-by-step explanation:
1. SUM of 21 and 5 TIMES a number f is 61
From that sentence, sum means addition and times is multiplication, so:
21+5f = 61
2. Let's identify the given:
Monthly fee: 18
Cost of each call: 5
Variable that symbolizes the call: n
Total cost this month: 50.50
Thus, 18+5n=50.50
3. Identify the given:
Charge of tutor: 40
Charge of tutor every student: 30
Variable representing the number of students: s
Total charge: 220
Thus, 40+30s=220
Find a degree 3 polynomial with real coefficients having zeros 1 and 2-2i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation, including P(x)=.
Answer:
Step-by-step explanation:
complex roots always occur in pairs.
roots are 1,2-2i,2+2i
P(x)=a(x-a)(x-b)(x-c)
P(x)=1(x-1)[x-(2-2i)][x-(2+2i)]
=1(x-1)[(x-2)+2i][(x-2)-2i]
=(x-1)[(x-2)²-(2i)²]
=(x-1)[(x-2)²-4i²]
=(x-1)[x²-4x+4-4(-1)]
=(x-1)[x²-4x+4+4]
=(x-1)[x²-4x+8]
=x³-4x²+8x-x²+4x-8
=x³-5x²+12x-8
Please help me! I’ll name you brainiest!!!
Answer:
80
Step-by-step explanation:
first, put in (5x-4) for the x in g(x).
g(f(x))=(5x-4)^2 -1
now, FOIL and simplify.
25x^2-40x+16-1
25x^2-40x+15
now, plug in -1 for x.
25(-1)^2-40(-1)+15
25+40+15
80
Select two ratios that are equivalent to 27: 9.
Answer:
3:1 and 9:3
Step-by-step explanation:
27 divided by 9 is 3
27 divided by 3 is 9
9 divided by 3 is 3
Find the perimeter of the figure
Answer:
Answer=2[tex]x^{2}[/tex]+9x+2
Step-by-step explanation:
to find the perimeter of any shape you add all the lengths of it so,
(-[tex]x^{2}[/tex]+4x)+(3[tex]x^{2}[/tex]+5)+(5x-3)
(you add all same terms together)
=(-[tex]x^{2}[/tex]+3[tex]x^{2}[/tex])+(4x+5x)+(5+(-3))
=2[tex]x^{2}[/tex]+9x+2