which sequence is a geometric progression
a 2 4 6 8
b 1 1 2 3
c1 2 4 8
d1 3 5 7​

Answers

Answer 1

9514 1404 393

Answer:

  c  1, 2, 4, 8

Step-by-step explanation:

It can work well to look at the first differences.

  a: 4 -2 = 2; 6 -4 = 2 ⇒ differences are 2, 2, 2

  b: differences are 0, 1, 1

  c: differences are 1, 2, 4

  d: differences are 2, 2, 2

__

Sequences 'a' and 'd' have common differences that are constant. These are arithmetic sequences. Sequence 'b' is of no named type.

Sequence 'c' has first differences that have a common ratio, the same as the sequence itself. This is an indication the sequence is geometric. The ratios of values are 2/1 = 2; 4/2 = 2; 8/4 = 2, so the terms have a common ratio.

Sequence c is a geometric progression.


Related Questions

suppose a charity received a donation of $26.2 million. if this represents 49% of the charity's donated funds, what is the total amount of its donated funds? round your answer to the nearest million​

Answers

Answer:

53 million.

Step-by-step explanation:

$26.2 / total = 0.49 ($ in millions)

Then total = (26.2) ÷ 0.49 = 53.47 millions which we can round up to 53 million $

Write a number in which the digit 1 is worth 10 times as much as it is in 62,901

Answers

Answer:9

Step-by-step explanation:

No step

Answer:

the answer for this is 1

Step-by-step explanation:

cause ten times of 1 is 1.

Please don't confuse yourself with

1 times of 10.that one is 10

ten times of 1, means 1×1×1×1×1×1×1×1×1×1 it is still 1.

the second one is 10 ×1 =10.

Use the Squeeze Theorem ​

Answers

Answer:

See Below.

Step-by-step explanation:

We want to use the Squeeze Theorem to show that:

[tex]\displaystyle \lim_{x \to 0}\left(x^2\sin\left(\frac{2}{x}\right)\right)=0[/tex]

Recall that according to the Squeeze Theorem, if:

[tex]\displaystyle g(x)\leq f(x) \leq h(x)[/tex]

And:

[tex]\displaystyle \lim_{x\to c}g(x) =\lim_{x\to c}h(x) = L[/tex]

Then:

[tex]\displaystyle \lim_{x\to c}f(x)=L[/tex]

Recall that the value of sine is always ≥ -1 and ≤ 1. Hence:

[tex]\displaystyle -1 \leq \sin\left(\frac{2}{x}\right) \leq 1[/tex]

We can multiply both sides by x². Since this value is always positive, we do not need to change the signs. Hence:

[tex]\displaystyle -x^2\leq x^2\sin\left(\frac{2}{x}\right)\leq x^2[/tex]

Let g = -x², h = x², and f = x²sin(2 / x). We can see that:

[tex]\displaystyle \lim_{x \to 0}g(x) = \lim_{ x \to 0}h(x) = 0[/tex]

And since g(x) ≤ f(x) ≤ h(x), we can conclude using the Squeeze Theorem that:

[tex]\displaystyle \lim_{x \to 0}f(x) = \lim_{x \to 0}x^2\sin\left(\frac{2}{x}\right)=0[/tex]

you spin the spinner once
What is P(5)?

Answers

0-10

A spinner is split into 11 different pieces so you are less likely to land on five than the other numbers.

The probability of getting 5 on spinner is 0.25.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, on the spinner there are four numbers {3, 4, 5, 6}.

Number of favorable outcomes = 1

Total number of outcomes = 4

So, P(5) = 1/4

= 0.25

Therefore, the probability of getting 5 on spinner is 0.25.

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Which system of inequalities has the solution set shown in the graph?
25 < (x – 1)2 + y2 and 16 > x2 + (y + 4)2
25 > (x – 1)2 + y2 and 16 > x2 + (y + 4)2
25 < (x – 1)2 + y2 and 16 < x2 + (y + 4)2
25 > (x – 1)2 + y2 and 16 < x2 + (y + 4)2
lmoa what

Answers

Answer:

A. 25 < (x – 1)² + y² and 16 > x² + (y + 4)²

Step-by-step explanation:

the solutions are in the outside of the bigger circle, but inside of the smaller circle

The inequality is 25 < (x – 1)² + y² and 16 > x² + (y + 4)². Option A is correct.

What is inequality?

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to, > ‘greater than, or < ‘less than.

The solutions are on the outside of the bigger circle, but inside of the smaller circle.

The radius of the bigger circle is 5 and the radius of the smaller circle is 4. The graph of the inequality is attached with the answer below.

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Question 2.1
Solve the following problem. Round to one decimal place if
necessary. If your answer is correct you will see an image
appear on your screen.

Answers

Answer:

x = 5.3

Step-by-step explanation:

Reference angle (θ) = 24°

Opposite side to the reference angle = x

Adjacent side = 12

Apply TOA, which is:

Tan θ = Opp/Adj

Plug in the values

Tan 24° = x/12

12*Tan 24° = x

5.34274422 = x

x = 5.3 (approximated to one decimal place)

PLEASE HELPPPP ASAP PLS WILL MARK BRAINLIEST

Answers

Answer:

5X+6+3X-2 =180

8X+4. =180

8X. =180-4

8X. =176

X=22

CBD=EBF=3x-2

=66-2

=64

CBD=64

9)
10)
22x - 2
8x + 2
A) 5
B) 6
D 2
C) 8
A 5
C) -10

Answers

Answer:

I don't know

Step-by-step explanation:

could you screenshot your question or reword it. I don't know what you're asking. Sorry.

Find the volume of this figure

Answers

Answer:

A

Step-by-step explanation:

36*12*6+12*24*3=3456

Answer:

3456

Step-by-step explanation:

36*12*6 + 24*12*3

just add up the two volumes

X/30 + X/40= 1
Solve for x

Answers

Answer:

17 1/7 I think

Step-by-step explanation:

x=17.1

Step-by-step explanation:

[tex] \frac{x}{30} + \frac{x}{40} = 1 \\ \frac{3x + 4x}{120} = 1 \\ \frac{7x}{120} = 1 \\ \frac{7x}{120} = 1 \\ 7x = 120 \\ x = \frac{120}{7} \\ x =17.1 [/tex]

Write the product in simplest form: 1 2/3 x 3 4/5=

Answers

Answer:

19/3

Step-by-step explanation:

1 2/3 = (1*3 + 2)/3 = 5/3

3 4/5 = (5*3 + 4)/5 = (15 + 4)/5 = 19/5

5/3 * 19/5 = 19/3    The 5s cancel.

The simplest form is not obvious to me. I think the answer above is in simplest form, and I will put that below the answer above. But 6 1/3 is also possible.

Answer:

4 1/3

Step-by-step explanation:

1 [tex]\frac{2}{3}[/tex] × 3 [tex]\frac{4}{5}[/tex] =

[tex]\frac{5}{3}[/tex] × [tex]\frac{19}{5}[/tex] =

[tex]\frac{95}{15}[/tex] = 4 [tex]\frac{5}{15}[/tex] = 4 1/3

Jake has a 1 in 5 chance of winning the egg and spoon race.
what is the probability that he will NOT win the race
8%
20%
60%
80%

Answers

Answer:

Step-by-step explanation:

1 in 5 = 1/5 = 20% that he wins

Probability that he will NOT win

= 1 - 20%

= 100% -20%

= 80%

Answer:

80%

Step-by-step explanation:

percentage of winning

1/5×100%=20%

percentage of not winning

100%_20%=80%

Some help with this pleaseee!

Answers

Answer:

g(x) = |x| + 7

Step-by-step explanation:

Adding the constant +7 on the end of the equation means a translation 7 units up.

VERY URGENT
The sum of two numbers is 36. The smaller number is 18 less than the larger number. What are the numbers?
Larger number:
Smaller number:

Answers

Answer:

Larger number: 22

The smaller number: 14

HOPE THIS HELPS

Which of the following is the product of 7/8 and -4/21?  a.- 1/6 b.1/12 c.- 16/21 d.- 147/32​

Answers

Answer:

A. -1/6

Step-by-step explanation:

7/8 × -4/217 can be divided by 21 wich will make the fraction -4/21 turn to -4/3 and the fraction 7/8 turn to 1/8-4 can be divided by eight which will make the fraction 1/8 turn to 1/2 and the fraction -4/3 will turn to -1/31/2 × -1/3 = -1/6

The product of 7/8 and -4/21 is a.- 1/6.

What is the product?

In mathematics, a product is the result of multiplication, or an expression that identifies factors to be multiplied.

Now the given numbers are,

7/8 and -4/21

now taking 7/8 and since 8= 4*2

so, 7/8 = 7/(4*2)

Again taking -4/28 and since 28 = 7*4

so, -4/21 = -4/(7*3)

hence the product of 7/8 and -4/21 is given as,

7/8*(-4/21) = 7/(4*2) x -4/(7*3)

taking alike terms together we get,

7/8*(-4/28) = (7/7)(4/4)(-1/2*3)

⇒ 7/8*(-4/28) = -1/6

Hence the correct option is a.-1/6

Therefore,The product of 7/8 and -4/21 is a.- 1/6.

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Inequality of y<-4+3 on graph

Answers

Answer:

[tex]y < - 1[/tex]

Step-by-step explanation:

[tex]y < - 4 + 3[/tex]

[tex]y < - 1[/tex]

Hope it is helpful...

[tex] \sf \: y < - 4 + 3 \\ \sf \: y < - 1[/tex]

[tex] \sf \: Just \: add \: - 4 \: and \: 3 \: and \: you \: \\ \sf will \: get \: the \: inequality \: in \: the \: simplest \: form.[/tex]

Find the distance between the pair of points: (2,6) and (0,−3).

Answers

Answer:

d = √85

Step-by-step explanation:

d^2 = (X2 - X1)^2 + (Y2 - Y1)^2

= (2 - 0)^2 + (6 + 3)^2

= 4 + 81

d = √85

The city of Raleigh has 10000 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 200 randomly selected registered voters was conducted. 72 said they'd vote for Brown, 118 said they'd vote for Feliz, and 10 were undecided. Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown. Note: The proportion should be a fraction or decimal, not a percent.

Answers

Answer:

0.36

Step-by-step explanation:

Given, There Are 10000 Registered Voters in a City & Two Candidates Brown & Felix .

The Day Before Election , A Telephonic Poll Of 200 Randomly Registered Voters Was Conducted .

72 said they would vote for Brown , 118 Said they would vote for felix & 10 Were Undicided .

Now, The sample statistic is the number who would vote for Brown divided by the total number in the sample, or 72/200 = 0.36    

& To Find How Many of 10000 voters to vote Brown Just Multiply 0.36 With 10000 ⇔ 0.36×10000=3600

2. Graph on a coordinate plane or explain how to graph: x = 5

Answers

Answer:

x = 5 is a vertical line at x = 5

1. how many cubic meters are in 250,000 cubic centimeters?
A. 0.025m³ B. 0.25m³ C. 2.50 m³ D. 25

2. the volume of an ordinary box is 3.5 m³. wxpress its volume in cm³?
A. 350 cm³ B. 35000 cm³ C. 3500000 cm³ D. 35000000 cm³

3. Write 1.6 dm³ in cubic centemeters.
A. 1.6 cm B. 16 cm³ C. 160 cm³ D. 1600 cm

4. What is 500dm³ in m³?
A. 0.005 m³ B. 0.05m³ C. 0.5 m³ D. 5 m³

Answers

Answer:

1) 1m³ is 100cm*100cm*100cm = 1,000,000cm³

so 250,00cm³ are just 0.25m³

2) looking at the conversion above, three point five million is correct

3) 1dm³ = 10cm*10cm*10cm = 1,000cm³

D, as in Dewey Duck

4) 1m³ = 10dm*10dm*10dm = 1,000dm³

see that it's C?

Help me out thankssssss !!!!!!

Answers

Answer:

78/2=39°

Step-by-step explanation:

thx for the points

Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form.
m = 1/2, (6, 9)

Answers

Answer:

[tex]x-2y=-12[/tex]

Step-by-step explanation:

Hi there!

1) Determine the equation of the line in slope-intercept form

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

Plug in the slope [tex]\frac{1}{2}[/tex]

[tex]y=\frac{1}{2}x+b[/tex]

Plug in the given point (6,9) and solve for b

[tex]9=\frac{1}{2}(6)+b\\9=3+b[/tex]

Subtract 3 from both sides

[tex]9-3=3+b-3\\6=b[/tex]

Plug 6 back into [tex]y=\frac{1}{2}x+b[/tex]

[tex]y=\frac{1}{2}x+6[/tex]

2) Rearrange the equation into standard form

Standard form: [tex]Ax+By=C[/tex] where A, B and C are integers and A is typically positive

[tex]y=\frac{1}{2}x+6[/tex]

Multiply both sides by 2 to remove the fraction

[tex]2y=1x+12\\2y=x+12[/tex]

Subtract x from both sides to isolate 12 as C

[tex]2y-x=x+12-x\\2y-x=12\\-x+2y=12[/tex]

Multiply both sides by -1 to make A positive

[tex]x-2y=-12[/tex]

I hope this helps!

a piece of ribbon is 5.4 meters long. What will be the length of 8 similar pieces?​

Answers

Answer:

43.2 meters

Step-by-step explanation:

Multiply the length of one piece of ribbon by 8 to determine the total length

5.4 * 8 =43.2 meters

5.4x8=43.2
answer: 43.2 meters

Soosie's Cookie Company had fixed costs of $1250 and variable costs of $4.25 per dozen gourmet cookies that were baked and packaged for sale. Write an equation that can be used to determine the total cost when x dozens of cookies are baked and sold. Then determine the total cost of baking and selling 85 dozen gourmet cookies.

Answers

Answer:

$1250.00 + (x)$4.25 =

Step-by-step explanation

So fixed costs are $1,250.00.....every dozen you bake add $4.25 to the costs, cook one dozen you have $1,250.00 plus $4.25 or a total of $1,254.25.

Cook 10 dozen and you add $45.25 = the $1,250.00 for a new total of $1,295.25.

Answer a, b and c. See image below

Answers

Answer:

a) 3/5 < 4/5

b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.

c)  [tex]\frac{7}{10} > \frac{9}{15}[/tex]  or  [tex]\frac{7}{10}<\frac{9}{15}[/tex]

Step-by-step explanation:

a) 3/5 < 4/5

Flip the sign and the placement of the fraction so 3/5 is less then 4/5.

b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.

c) We need to change the denominators to a common denominator to compare the size of the two fractions:

[tex]\frac{7}{10}[/tex] × [tex]\frac{3}{3}[/tex] = [tex]\frac{21}{30}[/tex]

[tex]\frac{9}{15}[/tex] ×  [tex]\frac{2}{2}[/tex] = [tex]\frac{18}{30}[/tex]

The common denominators of the two fractions is 30. Comparing the two fractions:

[tex]\frac{21}{30} >\frac{18}{30}[/tex]  or  [tex]\frac{18}{30}<\frac{21}{30}[/tex]

so we get:  [tex]\frac{7}{10} > \frac{9}{15}[/tex]  or  [tex]\frac{7}{10}<\frac{9}{15}[/tex]

you and your friend start biking to opposite directions from the same point. You travel 108 feet every 8 seconds. Your friend travels 63 feet every 6 seconds. a) how far apart are you and your friend after 15 minutes? b) after 20 minutes you take a 5- minutes rest, but your friend does not. How far apart are you and your friend after 40 minutes? Explain your reasoning.

Answers

Answer:

To find your distance apart, you can convert 15 minutes to seconds because that is what the rate is given in.

15 mins x 60 seconds = 900 seconds.

Step-by-step explanation:

In 900 seconds, there are 900/8=112.5 groups of 8 seconds. This means there are 112.5 groups of 108 feet.

112.5 x 108 = 12150 feet

12150 feet/5280 feet is approximately 2.3 miles.

For your friend you take 900/6 = 150 groups of 6 seconds.

150 x 63 = 9540 feet

9540 feet/5280 feet = 1.79 miles

1.79 miles + 2.3 miles = 2.09 miles

You and your friend are about 2.09 miles apart after 15 minutes.

B). If you go 2.3 miles every 15 minutes, that means you travel about 0.77 miles every 5 minutes. If you travel 20 more minutes (40-15-5) that would be 0.77x 4=3.07 miles more

3.07 + 2.3 = 5.37 miles after 40 minutes (you).

Your friend travels 1.79 in 15 minutes, so 1.79/3 = 0.6 miles every 5 minutes

0.6 x 5 (5 x 5 = 25 minutes)= 3 miles

1.79 + 3 miles= 4.79 miles (friend)

4.79 + 5.37 = 10.16 miles

You and your friend are about 10.16 miles apart after 40 minutes.

Miguel went shopping for a new phone. Sales tax where he lives is 4%. What number should he multiply the price of the phone by to find the total plus tax in one step?

Answers

Answer:

miges fue y no me compro el celu

Step-by-step explanation:

mal migel

por culpa de brailyn reverg

using a=15 b=12 c=21 is the triangle ABC a right angle triangle

Answers

yes it is a right triangle with the Pythagorean Theorem

no links, if ur right i’ll give u brainlist!!

Answers

Answer:

answer is C. if im wrong just let me know :3

A standard deck of 52 cards has 4 suits (spades, clubs, hearts, and diamonds) with 13 different cards (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king) in each suit. If you are dealt exactly two cards from the deck without replacement, what is the probability that you are dealt a pair (matching cards in different suits)

Answers

Answer:

P(a pair with matching cards in different suits) = 1/52

Step-by-step explanation:

We are told that there are 4 suites and each suit has 13 different cards. This is a total of 52 cards.

Thus;

Probability of selecting one card of a particular suit = 13/52 = 1/4

If we now want to select a matching card of another suit without replacing the first one, then, we now have; 52 - 13 = 39 cards. Now, there are only 3 matching cards of the 3 remaining suits that is same as the first card drawn.

Thus; probability = 3/39 = 1/13

Thus;

P(a pair with matching cards in different suits) = 1/4 × 1/13

P(a pair with matching cards in different suits) = 1/52

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grass is the first member of the ocean food web. 20% of j is 12 what is j 60 points and brainiest!!!!!! Pls help me The enzyme choline acetyltransferase catalyzes the reaction between acetyl-CoA and choline resulting in the formation of the neurotransmitter acetylcholine. This enzyme is produced within the cell body of neurons, but the synthesis of acetylcholine occurs within the axon terminals. What best describes the axonal transport mechanism associated with this process? Why is using the same cutting and knife for bothcooked and uncooked food not a drisable? I really don't understand i need help asap. They were asking to find f(-8) What is a likely consequenceof this type of mutation?A. The gene would result in a shorterprotein, possibly causing problems.B. The gene would have a protein thatwas too long, possibly causing problems.C. The gene would be unaffected.D. This would most likely be a positivechange. Select three advantages to using digital video.A) Digital video appears to have more depth.B) Digital video can capture a greater range of brightness.C) Digital video is much less expensive than film.D) Digital video be easily edited and shared.E) Digital video can be viewed in real time where it was taken. Which sentence uses the word overpowering correctly? Which statement is true? Question 19 of 25 The graph of F(x) shown below resembles the graph of G(X) = x4, but it has been vertically stretched. Which of the following could be the equation of F(x) ? 5 5 L O A F(x) = -1x* https://imgur.com/a/GMyk3iX Pick the scene from the play that you feel is most important instance of mistaken identity twelfth night Heavy use of long-term debt can be of benefit to a firm to help expand, although it adds to the firm's overall level of risk.A. True B. False. To mix a pastel orange paint, 5ml of yellow pigment and 3 ml of red pigment are added to 1litre of white paint. How much yellow pigment and red pigment are added to 6litre of white paint to reproduce the same colour Find the distance between the points (0, -3) and (4, 0).A. 7B. 1C. 25D. 5 combine the radicals 9x -3x Describe the relationship between 2 and 8 What is the y-intercept of 4(0.6)^x Which of the following expressions could be used to represent "three less than half a number"? 1/2 - 3n 3 - 1/2n 3n - 1/2 1/2n - 3