9,-81, 729,-6561...
What is the common ratio?
Help which is the correct answer?
Answers
Answer:
[tex]r = -9[/tex]
Step-by-step explanation:
Given
[tex]Sequence: 9,-81, 729,-6561...[/tex]
Required
Determine the common ratio
The common ratio r is calculated using:
[tex]r = \frac{T_n}{T_{n-1}}[/tex]
Let [tex]n = 2[/tex]
So, we have:
[tex]r = \frac{T_2}{T_{2-1}}[/tex]
[tex]r = \frac{T_2}{T_1}[/tex]
From the sequence:
[tex]T_2 = -81[/tex]
[tex]T_1=9[/tex]
So, the equation becomes
[tex]r = \frac{-81}{9}[/tex]
[tex]r = -9[/tex]
Related Questions
What is the difference between the mean of the population and the mean of the sample? 0.24 0.36 2.40 2.64
Answers
Answer: 0.24
Step-by-step explanation:
Answer:
0.24
Step-by-step explanation:
i took the test i got it right!
Mrs.smith has 4 tables for her students.each table can seat 5 students
Answers
Answer:
imma just assume your asking how many students she has so 20
Step-by-step explanation:
Which ordered pair best represents the location of point A. A(2,3) B(3,2) C(2,2) D(3,3) Pls explain your answer :) 20 points
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Answer:
The correct answer is B
Step-by-step explanation:
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Drag each number to show whether it is equal to 50% , 0.2 , or neither
Answers
Answer:
Step-by-step explanation:
50% = 1/2, 0.5
0.2 = 2%
Other = 20%, 20/100, 1/5
Answer:
I put this, Its correct.
Step-by-step explanation:
50% : 1/2, 0.5.
0.2 : 20/100, 20%, 1/5.
Other : 2%
Brianliest for correct answer
Answers
Answer: i Think it would be 80
Step-by-step explanation: a right triangle is 90 degrees so how I got 80 is 90-10=80 I might be wrong though
The equation of line CD is y = 3x - 3. Write an equation of a line perpendicular to line CD in slope-intercept form that contains point (3,1). Oy = 3x + 0 Oy = 3x - 8 Oy -x+ 2 Oy= y = x + 0
Answers
Answer:
y = -1/3x + 2Step-by-step explanation:
Given line
y = 3x - 3Perpendicular lines have negative-reciprocal slopes, so the line will be:
y = -1/3x + bUse the point (3, 1) to find b:
1 = -1/3(3) + b1 = -1 + bb = 2The line is:
y = -1/3x + 2Simplify (x-4) (4^2+x-6)
Answers
Answer:
(x-4)(x+10)
Step-by-step explanation:
Write an expression for the calculation subtract 10 divided into fifths from 20 divided in half.
Answers
Answer:
(20 / 2) - (10 / 5)
Step-by-step explanation:
subtract (10 divided into fifths) from (20 divided into half)
= (20 divided into half) - (10 divided into fifths)
= (20 / 2) - (10 / 5)
If you need to solve the expression:
= 10 - 2
= 8
Hope this helps! :)
3,1,-2,-4,-1, least to greatest
Answers
Answer:
-4, -2, -1, 1, 3
Step-by-step explanation:
Because some of these numbers are negative, they will be getting smaller as they get bigger. Think of it like this:
When you are determining whether the negative number is bigger or smaller, take the negative sign off or pretend its not there. Then, as the numbers get bigger, they become less. For example, you have these numbers:
-1, -5, -8, -3, and -2
To find out what the order is from least to greatest, you do this:
take the negative sign off
1,5,8,3, and 2
then put them in order from least to greatest
so its
1, 2, 3, 5, 8
Then flip it so its from greatest to least
so its
8,5,3,2,1
Now put the negative signs back
making it:
-8, -5, -3, -2, and -1
That is how you find out what the numbers are from least to greatest.
Hope this helps!
PS. You should eat chicken nuggets because they are good
Adam bike 15 miles in 3 hours. Ben bike 12 miles in 2 hours. What was there speed?
Answers
Ben: 12 miles / 2 = 6Mi/Hr
Hope this helps!
emyr sat his gsce maths exam. he scored a total of 112 marks out of the 200 possible.
Answers
56%
Step-by-step explanation:
Complete question
(Emyr sat his gcse math exam.he scored a total of 112 out of the 200 posible. What is her mark percentage?)
To calculate the percentage of a value, we first of all take the value obtained divided by the total possible value obtainable multiply by 100.
In this case, the value obtained was 112 and the total value obtainable is 200.
x = (112 / 200) * 100
X = 0.56 * 100
x = 56%.
The percentage of his score was 56%
Andy and Jordan's are playing a game that involves tossing two dice numbered one to six, and recording the sum of the two how many different sums are possible? What is the greatest possible sum? I’ll mark u brainlesst or wtv it’s called
Answers
Answer:
there are 11 diffrent sums and the greatest sum is 12
Step-by-step explanation:
Please help Me! I need to find the slope of this line!
Answers
Answer:
1/3
Step-by-step explanation
Find the ratio of two points, change in y over change in x.
Leila and Joe are two partners in a business. Leila makes $3 in profits for every $4 that Jo makes. If Jo makes $32 profit on the first item they sell, how much profit does Leila make?
Answers
Answer:
$24
Step-by-step explanation:
Since 32 divided by 4 equals 8, and 8 times 3 equals 24, if Jo makes $32 profit on the first item they sell, Leila will make $24 profit.
I hope this helps you :D
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Answers
Answer: The answer is 0.20
Step-by-step explanation: To find a scale factor all you need to do is find the ratio of a side on the scaled shape to its corresponding side on the original figure. We know the bottom of the scaled figure is 0.5 and the same side on the original rectangle was 2.5 so we can just divide like so...
0.5/2.5 = 0.2 which is our correct answer. I hope this has been of use to you :) If you have any other questions please do not hesitate to ask!
WILL GIVE BRAINLIEST!!!!!!!!
A substance decays 35% each day. After 8 days, there are 8 milligrams of the substance remaining. How many milligrams were there initially?
251 milligrams
3 milligrams
45 miligrams
126 milligrams
Answers
The scale of a boat model is
2 inches = 6 feet. The boat
model is 15 inches long. How
long is the actual boat?
Answers
Answer:
well 2 times 15 = 30
30 times 6 = 180. So the boat is 180 feet long
Step-by-step explanation:
Answer:
The real boat is 45ft long
Step-by-step explanation:
15÷2=7.5 7.5×6=45
Sid made 60% of the free throws that he attempted. If he attempted 40 free throws at basketball practice, how many did he make?
Answers
Answer:
iON know
Step-by-step explanation:
Hello, I would like to know how to solve this question. I’m having quite the trouble, so I would appreciate accuracy!
(8a^-3)^-2/3
Answers
(Multiple choice/ Most Brainly will be rewarded)
Can I please have some help on this question.
(Zoom in if needed)
Answers
you want to multiply 3a^2 to each of the values inside the parentheses so it would be (3*2)(a^2*a^3)(b)-(3*4)(a^2*a)(b^2)
so (6)(a^2+3)(b)-(12)(a^2+1)(b^2)
and therefore the answer is 6a^5b-12a^3b^2
WILL GIVE BRAINLIEST PLZZZ HELP
Answers
Answer:
1.5
Step-by-step explanation:
Cause the standard of the table and the multiplication of have 3a,0,5 will give you your answer.
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Answers
That’s the answer I think
The piecewise function h(x) is shown on the graph.
What is the value of h(3)? Pls help!!
Answers
Given:
The graph of a piecewise function.
To find:
The value of h(3).
Solution:
We have, the graph of a piecewise function h(x).
The function is divided into two pieces. One is over the interval [tex]-4\leq x<1[/tex] and another one is over the interval [tex]-1\leq x\leq 4[/tex].
From the given graph it is clear that the function passes through the point (3,1). It means the values of the function is 1 at x=3.
[tex]h(x)=1[/tex] at x=3.
[tex]h(3)=1[/tex]
The value of h(3) is 1.
Therefore, the correct option is C.
Answer:
tis c
Step-by-step explanation:
The cell phone price was originally $457. It is now being sold for $318. State the change to the nearest percent
I really need help
Answers
Answer:
30.4%
Step-by-step explanation:
Given data
originally price $457
new price= $318
Required
The percent mark down
Percent markdown= original- new/original*100
substitute
Percent markdown= 457- 318/457*100
Percent markdown= 139/457*100
Percent markdown=0.304*100
Percent markdown=30.4%
Hence the price was reduced by 30.4%
Algerba 1 !! plz help tysm <3
Answers
Answer:
D and B
Step-by-step explanation:
Count each m. There are 4. Therefore it will be m^4.
Now how many n's are there? 2! So it will be n^2. Put them together and you have m^4n^2 which is D
Plug in each value for x and y in the equation. 3^2 is 3 times 3 or 9. (-2)^3 is -2 times -2 times -2 which is -8. Now multiply 9 by -8. You get -72 which is the answer B.
please please please please please please please please please please please please help help please
Answers
Answer:
x=5
Step-by-step explanation: you can look the the line. If the line is vertical, then the equation should be x=(the number). if the line is horizontal, the y=(the number that the line is going through to)
Can someone help me with these 3 problems?
Answers
Answer: 1) 12.7
2) 67
3) 63.2
Step-by-step explanation:
Solve for z.
0.5 –
z
-5.3
0.5
Answers
Answer:
− z − 4.8
Step-by-step explanation: was this the answer you needed? if not just delete it
28775 tickets are sold for a football match. Children’s tickets cost £15. The ratio of children to adults is 9:16.
If the total ticket sales makes £615785, what is the difference between the price of an adults ticket and a children’s ticket?
Answers
Answer:
Difference = £10
Step-by-step explanation:
Represent adult with A and children with C
[tex]A + C = 28775[/tex]
[tex]C : A = 9 : 16[/tex]
[tex]Sales = 615785[/tex]
Required
Determine the difference in price of both tickets
[tex]A + C = 28775[/tex]
Convert ratio to fraction
[tex]C : A = 9 : 16[/tex]
[tex]\frac{C}{A} = \frac{9}{16}[/tex]
Cross Multiply
[tex]16C = 9A[/tex]
Make C the subject
[tex]C = \frac{9}{16}A[/tex]
Substitute [tex]C = \frac{9}{16}A[/tex] in [tex]A + C = 28775[/tex]
[tex]A + \frac{9}{16}A = 28775[/tex]
Take LCM
[tex]\frac{16A + 9A}{16} = 28775[/tex]
[tex]\frac{25A}{16} = 28775[/tex]
Multiply both sides by 16
[tex]16 * \frac{25A}{16} = 28775*16[/tex]
[tex]25A= 28775*16[/tex]
[tex]25A= 460400[/tex]
Make A the subject
[tex]A = \frac{460400}{25}[/tex]
[tex]A = 18416[/tex]
Substitute 18416 for A in [tex]C = \frac{9}{16}A[/tex]
[tex]C = \frac{9}{16} * 18416[/tex]
[tex]C = \frac{9* 18416}{16}[/tex]
[tex]C = \frac{165744}{16}[/tex]
[tex]C = 10359[/tex]
If a children ticket costs £15, then total children tickets cost:
[tex]Children = 10359 * 15[/tex]
[tex]Children = 155385[/tex]
The total sales is given as:
[tex]Sales = 615785[/tex]
So, the total cost of adult ticket is:
[tex]Adults = 615785 - 155385[/tex]
[tex]Adults = 460400[/tex]
Recall that number of adults is: 18416
So, an adult ticket costs
[tex]An\ adult\ ticket = \frac{460400}{18416 }[/tex]
[tex]An\ adult\ ticket = 25[/tex]
So, we have that:
Children Ticket = £15
Adult Ticket = £25
The difference is:
Difference = £25 - £15
Difference = £10
the number of employees for a certain company had been decreasing each year by 8%. If the company currently has 860 employees and this rate continues, fund the number of employees in 19 years.
Answers
Answer:
approximately 684 employees
Step-by-step explanation:
So this is an exponential equation since there is a dividing decrease, not just subtracting. The standard equation is,
[tex]y = a(b)^{x} [/tex]. [tex]a[/tex] is initial value (860 employees) and [tex]b[/tex] is the change [tex]-8%[/tex] or [tex]0.92[/tex]. The [tex]x[/tex] would be the period of time, [tex]19[/tex]. This equation would be [tex]y = 860(0.92)^{19} [/tex].
After solving, the equation would become the following: [tex]y = 860(0.92)^{19} = 176.387242442≈176[/tex]. After subracting the number of lost employees from orginal employees ([tex]860-176=684[/tex]), we see that the company will have approximately 684 employees left after 19 years.