BRAINLIEST FOR CORRECT ANSWER!
Ethan bounces a tennis ball on the ground. Each time the ball bounces, it's height gets cut down until it comes to a stop. Ethan recorded the height of the tennis ball on each bounce as seen in the table above.
List the missing terms from the table.
Answers
Using a geometric sequence, it is found that the missing terms of the table are, respectively, given by:
[tex]243, 1, \frac{1}{81}[/tex]
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
From the table, we get that the common ratio is of [tex]q = \frac{1}{3}[/tex], hence each term is the previous divided by 3, or the next multiplied by 3. Hence, the missing terms are given by:
[tex]3 \times 81 = 243[/tex]
[tex]3 \times \frac{1}{3} = 1[/tex]
[tex]\frac{1}{27} \times \frac{1}{3} = \frac{1}{81}[/tex]
More can be learned about geometric sequences at https://brainly.com/question/11847927
Related Questions
Ian earns x dollars a month. He received a 10% raise in his paycheck. Which expression represents Ian’s new monthly paycheck?
x + 0.10x
x + 1.10
x + 1.10x
I need this fast, please with the work
Answers
The expression is
[tex]\\ \rm\Rrightarrow x+(1+0.10)x[/tex]
[tex]\\ \rm\Rrightarrow x+1.10x[/tex]
Belmont is a growing industrial town. Every year, the level of CO2 emissions from the town increases by 10%. If the town produced 330,000 metric tons of CO2 this year, how much will be produced 6 years in the future? If necessary, round your answer to the nearest whole number
Answers
Answer:
584,615
Step-by-step explanation:
its rounded by the whole number
Belmont will produce 584,615 metric tons of CO₂ after 6 years, growing at the rate of 10% every year, currently emitting 330,000 metric tons of CO₂.
What do we mean by growth?The value of most things is not constant in this world. If we observe correctly, the value of some of the things rises, while others fall. If there is a rise, we call it growth.
Growth can be determined by the formula,
V = V₀(1+r)ⁿ, where V is the final value, V₀ is the initial value, r is the rate and n is the time.
How do we solve the given question?In the question, we are given that Belmont is a growing industrial town. Every year, the level of CO2 emissions from the town increases by 10%.
We are asked that if the town produced 330,000 metric tons of CO2 this year, how much will be produced 6 years in the future.
As we see that the amount of CO₂ emission is growing, to find the amount of CO₂ emitted in the 6th year, we use the growth formula,
V = V₀(1+r)ⁿ, where V is the final value, V₀ is initial value, r is rate, and n is the time period.
Here, V₀ = 330,000 metric tons, r = 10%, n = 6 years.
∴ V = 330,000(1 + 10%)⁶
or, V = 330,000(1.1)⁶ = 330,000*1.771561 = 548615.13
or, V = 548615 metric tons (rounded to nearest whole number).
∴ Belmont will produce 584,615 metric tons of CO₂ after 6 years, growing at the rate of 10% every year, currently emitting 330,000 metric tons of CO₂.
Learn more about Growth at
https://brainly.com/question/20115298
#SPJ2
Complete the square to transform the expression x2 − 2x − 2 into the form a(x − h)2 k. (x − 1)2 3 (x − 1)2 − 3 (x − 2)2 − 3 (x − 2)2 3
Answers
The transformation of the expression [tex]x^{2} -2x-2[/tex] is [tex](x-1)^2 -3[/tex].
Given equation is: [tex]x^{2} -2x-2[/tex]
What is the expansion of the square of (a+b)?The expansion of (a+b)² is a²+b²+2ab.
We can rewrite the given expression as:
[tex]x^{2} -2x+1 -3[/tex]..........(1)
We know that [tex]x^{2} -2x+1[/tex] is the expansion of [tex](x-1)^2[/tex].
So, (1) can be written as:
[tex]x^{2} -2x+1 -3[/tex]
[tex](x-1)^2 -3[/tex]
So, [tex]x^{2} -2x-2 = (x-1)^2-3[/tex]
Therefore, the transformation of the expression [tex]x^{2} -2x-2[/tex] is [tex](x-1)^2 -3[/tex].
To get more about polynomials visit:
https://brainly.com/question/2833285
Answer:
The answer is B. (x-1)^2 - 3
Step-by-step explanation:
HOPE THIS HELPS! JUST HELPING PEOPLE IN NEED!
one of the pages help my lil cousin out
Answers
Answer:(that was a joke)
1.) acute
2.) right
3.) obtuse
4.) acute
5.) obtuse
6.) right
Step-by-step explanation:
if hes doing advanced stuff like isosceles equilateral and that then im sorry for the answer.
Does this graph represent a function?
Answers
Answer: The answer is C. Yes, because it passes the vertical line test.
Hope this helps.
Answer:
C. Yes, becuase it passes the vertical line test.
Step-by-step explanation:
Using the vertical line test, you can clearly see the function has one input for exactly each output.
Wouldn’t know how to type this in , but please help 20 points ..
Answers
Answer:
f=88
g=60
h=32
x=17
Step-by-step explanation:
Playing cards numbered from 1 to 20 are mixed thoroughly and kept it in a box. One card is taken at random from the box. What is the probability of the selected/drawn playing cards?1. Is a Prime number.2. A factor of 20.3. A composite number.4. A multiple of 3.5. A perfect square.
Answers
Step-by-step explanation:
Probability is the ratio of the expected outcome (event) to the total outcome (sample space)
Probability = expected outcome/total outcome
If Playing cards numbered from 1 to 20 are mixed thoroughly and kept it in a box, the total number of sample space is 20
1) To calculate of getting a prima number.
Events = {2, 3, 5, 7,11,13,17,19}
n(events) = 8 elements
Pr(selecting a prime) = 8/20 = 2/5
2) If a factor of 20 is selected
Factor of 20 F = {2, 4, 5, 10, 20}
n(F) = 5
Pr(factor of 20) = 5/20 = 1/4
3) A composite number are 2 digits numbers.
Composite number C = {10,11,12,13,14,15,16,17,18,19,20}
n(C) = 11
Pr(a composite number) = 11/20
4) For multiple of 3.5
Multiple of 3.5 M = {3.5, 7.0, 10.5, 14.0, 17.5}
n(M) = 5
Pr(multiple of 3.5) = 5/20 = 1/4
5) For perfect squares
Perfect squares P = {1, 4, 9, 16}
n(P) = 4
Pr(perfect squares) = 4/20 = 1/5
PLEASE HURRY!! Find the slope-intercept equation for (-2, -2) and (2, 1)
Answers
Answer:
y=3/4 x- 1/2
Step-by-step explanation:
Consider the figure. Determine the value of z.
Answers
Answer:
z=90
Step-by-step explanation:
Answer:
12x+11 = 47 (reason: vertical angles)
12x = 36
x = 3
12(3)+11 + w = 90 (reason: right angles)
36+ 11 + w = 90
47+w = 90
w = 43
43+z+47 = 180 (reason: linear pair)
90+z = 180
z = 90
Help complete the square in picture please 20 points
Answers
Answer:
x = 3 +√43, x = 3 - √43
Step-by-step explanation:
x^2 - 6x - 34 = 0
move the 34 across
x^2 - 6x = 34
take -6 and divide by two, then square it
(-6/2)^2 = 9
add the product to your equation
x^2 - 6 + 9 = 34 + 9
solve
(x - 3)^2 = 43
x - 3 = ± √43
x = 3 ± √43
Is the number 6+1 rational or irrational?
Answers
Answer:
Rational
Step-by-step explanation:
An irrational number is any number that cannot be turned into a fraction. 7 can be turned into a fraction.
A densidade demográfica ou densidade populacional de uma região é dada pela razão entre o número de habitantes e a área. No último senso do IBGE, o número de habitantes no estado de São Paulo foi de 45 milhões. A área do estado de São Paulo é de 248 210 km2. Dessa forma, a densidade demográfica de São Paulo é de, aproximadamente,
Answers
Responda:
181 pessoas / km²
Explicação passo a passo:
Dado que:
Densidade populacional = razão entre o número de habitantes e a área
Número de habitantes em São Paulo = 45 milhões
Área do estado de São Paulo = 248210 km²
Portanto, a densidade populacional de São Paulo:
Número de habitantes / área
45.000.000 pessoas / 2.48210 km²
181,29809 pessoas / km²
= 181 pessoas / km² (aproximadamente
Is this correct?
I have a test tomorrow tell the answer quickly
Answers
Answer:
No, it is not correct. You should divide by 21 and 3.
Step-by-step explanation:
3x=21
x=7
Q 1)
3(x + 5) = 36
3x + 15 = 36
3x = 36 - 15
3x = 21
x = 21/3
x = 7
Verification:
3(x + 5) = 36
3(7 + 5) = 36
3(12) = 36
36 = 36
Hence proved that x = 7
A bag contains 120 balls. The ratio of red to blue balls is 10:2
Find how many red and blue balls there are
Answers
Answer:
100 red balls and 20 blue balls.
Step-by-step explanation:
So to find out what you need to multiply the ratio by to get the answer, you add 10 and 2. That's 12. 120/12 is 10. 10:2 times 10 = 100: 20, so there are 100 red balls and 20 blue balls.
If someone can tell me the answer and how they got it that would be great
Answers
Answer:
A
Step-by-step explanation: You have two variables, the time and the number of cartons. If time wasn't a variable here, the number of cartons would remain static. You need time, otherwise there would be no change. Now that you know there are two variables, the last two choices must not be correct. Between A and B, the difference is that A says every dip is a purchase and B says every horizontal line is a purchase. Obviously, a horizontal line doesn't mean a purchase; it means the time gone WITHOUT a purchase. This leaves you with A.
what is the value of the digit 3 in 17039 in words?
Answers
Answer:
30
Step-by-step explanation:
Since the 3 is in the tenths column, it therefore equals 30.
Answer:
thirty
Step-by-step explanation:
the value of the 3 in 17039 is 30
[Piece Rate] Rate $3.00; 91 pieces produced
Answers
because
3.00 x 91= 273
Which temperature is colder? -10 degrees or -13 degrees
Answers
Answer:
-13
Step-by-step explanation:
The more negative the number, the colder it is
-13 is more negative than -10
-13 < -10
-13 is colder
Someone pls help???????????????????????
Answers
Answer: the answer is:
(9,0)
(11,2)
(15,6)
(18,9)
22
Annual salary: $24,400
Single
24 pay periods
Answers
Answer:
What's the question very confused on how to answer...
Step-by-step explanation:
can you help find the slope
Answers
Answer:
[tex]m=\frac{17}{37}[/tex]
Step-by-step explanation:
When given two coordinates, you must use this formula to find the slope of a line:
[tex]m= \frac{y_{2} - y_{1}}{x_{2}-x{1}}[/tex]
where m is your slope.
So, plug in your coordinates. Remember, a coordinate is denoted by (x,y). So, for example, your [tex]x_{1}[/tex] would be -18 and your [tex]x_{2}[/tex] would be 19.
[tex]m =\frac{4--13}{19--18}[/tex]
[tex]m =\frac{17}{37}[/tex]
And that would be your slope. (Answer choice D.)
Luis wants to buy a skateboard that usually sells for $79.66. All merchandise is discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state sales tax of 6.25%. Round your intermediate calculations and answer to the nearest cent. The total cost of the skateboard is $
Answers
Answer:
About $75.08
Step-by-step explanation:
79.66-[{(79.66/100)x12}-{(79.66/100)x6.25}]
79.66-[{0.7966x12}-{(79.66/100)x6.25}]
79.66-[{0.7966x12}-{0.7966x6.25}]
79.66-[9.5592-{0.7966x6.25}]
79.66-[9.5592-4.97875]
79.66-4.58045
75.07955
75.08
What is the definition of an exponential equation?
A.It means the variable is the leading coefficient and it grows at a steady pace
B.It means the variable is in the exponent spot and it grows very quickly
C.It means it is a very large number that we have no control over
D.None of the above
Answers
Pretty sure
fractorise 6x - 10 pls
Answers
Answer:
[tex]6 x - 10 \\ \\ = 2(3x - 5)[/tex]
# Bora 7#
factorise 6x - 10
Answer:-2(3x - 5)
Explanation:-=> 6x - 10
Find a common factor,
=> 2(3x - 5)
This equation cannot be factored further.
So, 2(3x - 5) is the answer.
Find the distance between Point A (9, -3) and Point B (16,
7), correct to 2 decimal places.
Answers
Answer:
8.06
Step-by-step explanation:
use distance formula
Write a system & solve: A farm has only chickens & cows. In total, there are 145 animals. However, there are only 324 animal legs. How many cows are there?
Answers
Answer:
x=17 y=128
Step-by-step explanation:
x-cows
y=chicken
x+y=145
4x+2y=324
x=145-y
4(145-y)+2y=324
580-4y+2y=324
580-2y=324
580-324=2y
256=2y
y=128
x=145-128
x=17
Zachary purchased a computer for $1,300 on a payment plan. Two months after he purchased the computer, his balance was $1,100. Four months after he purchased the computer, his balance was $900. What is an equation that models the balance y after x months?
Answers
Answer:
y = 1300 - 100x
Step-by-step explanation:
Zachary purchased a computer for $1300
The first step is to calculate the purchase he paid after 2 months
= 1,300-1,100
= $200
Then the purchase after 1 month is
= $200/2
= $100 per month
The purchase made after 4 months is
= 1,100-900
= $200
The purchase after a month is
= $200/2
= $100 per month
Therefore the equation that models the balance y after x months is
= initial amount of payment plan - amount per month
y= 1,300 - 100x
give a step by step explanation of how to find the standard form of an ellipse with foci of (-6, 0) and (6, 0), and vertices of (0,8) and (0,-8)
best answer deemed by me gets brainliest
Answers
Answer:
Step-by-step explanation:
You need to construct the ellipse then you would be able to find the standard form
Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business:
Year Lawn Care Fee
2000 $750
2010 $1350
A. What is the rate of change and initial value for Elliot’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.
Answers
Answer:
y=mx+b
Step-by-step explanation:
2000x+750y=c
multiply by the reciprocle
awnser....
Answer:
m= 60. y= 60x + 750
Step-by-step explanation:
He increased his rate $60/yr shown over a 10 yr span.
HELPPP FOR BRAINLEST!!! RIGHT NOW PLEASE
Answers
Answer:
1st is correct
Step-by-step explanation:
Like charges repel each other.
HOPE THIS HELP YOU ,FOR ANY QUESTION PLEASE ASK ME