if [tex]a_{1}[/tex]=10 and [tex]a_{n}[/tex]=[tex]2a_{n-1}[/tex] then find the value of [tex]a_{5}[/tex]

Answers

Answer 1

Answer:

a₅ = 160

Step-by-step explanation:

Using the recursive rule and a₁ = 10 , then

a₂ = 2a₁ = 2 × 10 = 20

a₃ = 2a₂ = 2 × 20 = 40

a₄ = 2a₃ = 2 × 40 = 80

a₅ = 2a₄ = 2 × 80 = 160


Related Questions

A group of friends is sharing 2 ½ pounds of berries
If each friend received 5/4 of a pound how many friends are sharing the berries

Answers

Answer:

2 friends

Step-by-step explanation:

Answer:

3 1/2

Step-by-step explanation:

In the figure, lines j and k intersect to form the
angles shown. What is the measurements of angle 1

Answers

It’s also 70 degrees because the angles are vertical. In vertical angles angles across from each other are the same and angles next to each other are 180-(the angle number given) so the angle next to 70 would be equal to 110.

The equation y=0.2x models a proportional relationship. Complete the table and graph the data.

Answers

y=0.2x

#0

[tex]\\ \sf\longmapsto y=0.2(0)=0[/tex]

(x,y)=(0,0)

#5

[tex]\\ \sf\longmapsto y=0.2(5)=1[/tex]

(x,y)=(5,1)

#10

[tex]\\ \sf\longmapsto y=0.2(10)=2[/tex]

(x,y)=(10,2)

#15

[tex]\\ \sf\longmapsto y=15(0.2)=3[/tex]

(x,y)=(15,3)

#20

[tex]\\ \sf\longmapsto y=0.2(20)=4[/tex]

(x,y)=(20,4)

Step-by-step explanation:

The given Eqⁿ is, [tex]{ \purple{ \sf{y = 0.2x}}}[/tex]

[tex]{ \star}[/tex]Put x = 0, then

[tex]{ \purple{ \sf{y = 0.2(0) = 0}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y )\: = (0,0)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 5, then

[tex]{ \purple{ \sf{y = 0.2(5) = 1}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (5,1)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 10, then

[tex]{ \purple{ \sf{y = 0.2(10) = 2}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x ,\: y) \: = (10,2)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 15, then

[tex]{ \purple{ \sf{y = 0.2(15) = 3}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (15,3)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 20, then

[tex]{ \purple{ \sf{y = 0.2(20) = 4}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (20,4)}}}}[/tex]

If you treat 2 friends to lunch, the 1st lunch is $12. 35, the 2nd lunch is $14. 22, and your lunch is $11. 47. You want to add a 20% tip. How much will you pay in total?.

Answers

Answer; $45.74

Explanation;
$12.35+$14.22+$11.47=$38.04
20% of $38.04=$7.70
=$45.74

The solution is

The total amount for the lunch is given by the equation A = $ 45.648

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount for the lunch be represented as A

Now , the equation will be

The amount for the first lunch = $ 12.35

The amount for the second lunch = $ 14.22

The amount for the third lunch = $ 11.47

The percentage of tip = 20 %

So , the total amount for the lunch without tip = $ 12.35 + $ 11.47 + $ 11.47

On simplifying the equation , we get

The total amount for the lunch without tip = $ 38.04

The amount of tip = total amount for the lunch without tip x percentage of tip

Substituting the values in the equation , we get

The amount of tip = 38.04 x ( 20/100 )

The amount of tip = 38.04 x 0.20

The amount of tip = $ 7.608

So ,

The total amount for the lunch A = total amount for the lunch without tip +  amount of tip

Substituting the values in the equation , we get

The total amount for the lunch A = $ 38.04 + $ 7.608

The total amount for the lunch A = $ 45.648

Therefore , the value of A is $ 45.648

Hence , the total amount is $ 45.648

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what is the difference of 256,805+136,667

Answers

The difference is 120138 (if you are subtracting)
If you’re adding it’s 393472

A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog pool. Find the value of a in the drawing below:

Answers

Answer:

a = 21

Step-by-step explanation:

Based on the information given, we can calculate that

WZ x 3 = a

so...

7 x 3 = 21

Hope that helped!! :)

Answer:

I think it is 21 since the relationship between 4 and 12 4 * 3 is equal to 12 so I did the same for each side but angles don't change so 7*3=21

What is the inverse of g(x)=-2/x-8

Answers

ang mga gan yan Hindi ko alam Kase may mudule din ako bb

a fair coin is flipped 10 times. what is the probability of getting the same number of heads and tails

Answers

If you flip a coin one time, the probability to get a Head is

p = 1/2

The probability of not getting a head in a single toss is :

q = 1 - 1/2 = 1/2

Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.

Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :

P(X = 5) = [tex]\frac{10!}{5!*5!} *(\frac{1}{2})^{5} *(\frac{1}{2})^{5}[/tex]≈ 0.246

So the probability of that is 24,6 %

Good Luck

brainlyyyyyyyy just helppppppppppppppppppppppppppppppppppppppppppp

Answers

50

If 10 is 20% of a number, we can multiply it by 5 to get the original number.

So 10 * 5 = 50, and 20% of 50 is 10.

I hope this helps! :)

Substance A has 2% alcohol mixture, and substance B has 6% alcohol mixture. To mix substance A and B for a capacity of 60 liters with 3.2% alcohol mixture, how many liters of substance A and B are used each?

Answers

Answer:

18 liters of 6% substance B

42 liters of 2% substance A

Step-by-step explanation:

let x be the liters of 6%, the balance of 60 - x liters is the 2% together they make 60 liters of 3.2%

6x + 2(60 - x) = 3.2(60)

distribute

6x + 120 - 2x = 192

Combine like terms

4x = 72

Divide bothsides by 4

x = 18 liters of 6%

60 - x = 42 liters of 2%

Factor the expression x^2+9+8

Answers

Answer:

2+17

x^{2}+17

x2+17

Step-by-step explanation:

Answer:

[tex](x+1)(x+8)[/tex]

Step-by-step explanation:

Hi there!

[tex]x^2+9x+8[/tex]

We must ask ourselves: What two factors of 8 add up to 9? That would be 1 and 8.

1 × 8 = 8 and 1 + 8 = 9.

Rewrite the expression accordingly:

[tex](x+1)(x+8)[/tex]

I hope this helps!

i need answer please​

Answers

1. 115
2.65
3. 65
4.130
sorry if it’s wrong i think it’s right though

What is the slope-intercept form of the equation x + y= -15?

Answers

Answer:

x+y=-15

y=-x-15

Step-by-step explanation:

What is the graph of y=3/4x-3

Answers

Answer:

the answer is graph C

Step-by-step explanation:

babyface_wee

Answer: Graph A

Step-by-step explanation:

y-intercept = -3    So, Not Graph B

Slope = 3/4x = rise 3 run 4 or up 3 right 4. So not Graph C

Graph A meats all the criterias.

Which equations are true equations?

Select all correct answers.


54 ÷ 6 + 3² = 4 + 4²

8042=10−22−1

62−22=4+7⋅22

19−2⋅5=9⋅73−9

Answers

Answer:

B and C

Step-by-step explanation:

Took the test and 80/4^2 = 10 - 2^2 - 1 and 6^2−2^2=4+7⋅2^2 are the answers. Hope this helps :D

None of the equations is true.

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

The first equation is 54 ÷6 + 3² =4 + 4².

Simplify the equation:

54 ÷6 + 3² =4 + 4²

9 + 9 = 4 + 16

18 = 20

The left side and the right side of the equation are not equal, hence the first equation is not true.

Simplify the second equation:

8042 = 10-22-1

8042 = -13

The second equation is also false.

Simplify the third equation:

62−22=4+7⋅22

40 = -11

The third equation is also false.

Simplify the fourth equation:

19−2⋅5=9⋅73−9

16.5 = 0.73

The fourth equation is also false.

Hence, none of the equations is true.

Learn more about equations here:

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dude these qts are due in 10 mins pls help!

Answers

Answer:

I can't see the last answer choice.

9/LM = 6/4.5

Step-by-step explanation:

9cm is to 6cm as LM is to 4.5cm

9/6 = LM/4.5

Rewriting:  9/LM = 6/4.5

8. Write an equation for the line in slope- intercept form.​

Answers

Answer:

y equals 3x plus 4 is the answer

Step-by-step explanation:

hope it helps

I would really like help

Answers

Answer:
3 -25.875
4 -144
5 24

Answer:

[tex] \\ • \: \frac{1}{8} + (2 - 4 \times 7)[/tex]

[tex] \\ = \frac{1}{8} + (2 - 28)[/tex]

[tex] \\ = \frac{1}{8} + ( - 26)[/tex]

[tex] \\ = \frac{1}{8} - 26[/tex]

[tex] \\ = \frac{1 - 208}{8} [/tex]

[tex] \\ = \frac{ - 207}{8} [/tex]

[tex] \\ = - 25 \frac{7}{8} \: \: or \: \: - 25.875[/tex]

[tex] \\• \: 20 \times 3 - 7(8 \times 9)[/tex]

[tex] \\ = 20 \times 3 - 7 \times 72[/tex]

[tex] \\ = 60 - 504[/tex]

[tex] \\ = - 444[/tex]

[tex] \\ • \: 23 - ( \frac{4}{2} ) + 7 - 4[/tex]

[tex] \\ = 23 - 2 + 7 - 4[/tex]

[tex] \\ = 23 + 7 - 2 - 4[/tex]

[tex] \\ = 30 - 6[/tex]

[tex] \\ = 24[/tex]

[tex] \frak {\overbrace{\underbrace{{{hope \: it \: helps}}}}}[/tex]

please tell me what is the answer and how is it done
3825÷4.25= ?????

Answers

Hey there!

I got 900 as the answer.

I hope this helped.

Hope that picture of my work helps!

Dave created a video that was originally 64 minutes long, but he ended up cutting it by 13%. How long was his video after he cut it?

Answers

Answer:

70 minute

it was help full

We have to find 13% of 64 minutes. So that’s 64 x 13 / 100= 8.32 minutes
Now subtract that from 64 minutes:
64-8.32= 55.68 minutes

The rectangle below has an area of 55x^6+22x^455x 6 +22x 4 55, x, start superscript, 6, end superscript, plus, 22, x, start superscript, 4, end superscript. The width of the rectangle is equal to the greatest common monomial factor of 55x^655x 6 55, x, start superscript, 6, end superscript and 22x^422x 4 22, x, start superscript, 4, end superscript. What is the length and width of the rectangle?

Answers

Answer:  I had difficulty reading the problem, so please check my interpretation.

Width is 11x^4 and Length is 5x^2 + 2

Step-by-step explanation:

Area of rectangle is 55x^6+22x^4Width is equal to the GCF of 55x^6 and  22x^4

The greatest common factor of 55x^6 and  22x^4 is 11x^4.  So the width is 11x^4.

Length = (55x^6+22x^4)/(11x^4)

Length = 5x^2 + 2

this activity, you will practice finding the side lengths and angle measures of various right triangles when given limited Information. Go to the
ght triangle solver e, and complete each step below. This activity will require careful planning of your calculations before you complete them.
sure to think ahead.
.
Generate a new problem for each of the problem types listed in the table. You'll be choosing the unknown (what you're solving for) and the
method to generate the problem. If the problem onscreen does not fit the required type, click the New Problem button until you get a
problem that does fit.
• The program will determine when you've properly constrained a problem and then give you a relevant equation. At this point, review the
information that you're given for the triangle and enter it in the appropriate column. Then enter the correct values into the equation
onscreen by clicking on the correct parts of the triangle.
• Finally, determine your result. Solve for the unknown and enter your solution in the input window provided onscreen. Then paste a
screenshot of your solution in the table.
• Every triangle in this section is a right triangle, so you can assume that one of the angles of each triangle equals 90° as part of your given
information

Answers

Answer:

This is the sample answer for plato/edmentum

Step-by-step explanation:

The number 59 is increased to 60. What is the percentage by which the number was
increased, to the nearest tenth of a percent?

Answers

Answer:

the answer is 1.7

Step-by-step explanation:

If you subtract ¾ by ¼,what is the difference?

Answers

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

- BRAINLIEST answerer

2/4 is the difference

Gabriel was out at a restaurant for dinner when the bill came. His dinner came to $20. After adding in a tip, before tax, he paid $23. Find the percent tip.

Answers

Answer:

Step-by-step explanation: I think it is three percent

Answer: 15%

i attached a picture below with an explanation

Kristen owns 61 shares of Prince Waste Collection and 45 shares of Nar Heating/Cooling. Nar Heating/Cooling is worth $7. 88 per share and Prince Waste Collection is worth $16. 59 per share. If Kristen sells all of her stocks, how much money will she receive? a. $657. 39 b. $1,366. 59 c. $1,227. 23 d. $1,296. 91.

Answers

Answer:

the answer to your question is B.) $1,366.59

Find the value of x so that the ratios are equivalent.

x to 0.25 and 6 to 1.5

What does x =

Answers

The value of x from the proportion relation is x = 1

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides

Given data ,

Let the proportion equation be represented as A

Now , the equation will be

Substituting the values in the equation , we get

x / 0.25 = 6 / 1.5

On simplifying the equation , we get

Multiply by 0.25 on both sides of the equation , we get

x = ( 6 x 0.25 ) / 1.5

On further simplification , we get

x = 6/6

x = 1

Therefore , the value of x = 1

Hence , the equation is x = 1

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please solve for x. possible answers A. 3 B. 10 C. 28

Answers

Answer:

The answer is 65.

Maybe there is another option that gives 65?

Step-by-step explanation:

a²+b²=c²

a=33

b=56

33²+56²=c²

1089+3136=c²

4225=c²

√4225 = c

65=c


Which table shows the values that would result from using the function machine?

Answers

Answer:

A

Step-by-step explanation:

Evaluate f(2). This gives you 2^2 + 1, which is 5. That eliminates C and D.

f(3) = 3^2 + 1 = 10. This must mean that A is the answer.

A runner wants to run a total of 42 miles. She wants to run the same number of miles each day. Which numbers of miles can she run each day: 3,4,5, or 6? How many days will it take her to run the 42 miles? Explain.​

Answers

Answer:

3 or 6 miles; If she runs 3 miles each

Step-by-step explanation:

Answer:

3 or 6 miles; If she runs 3 miles each

Step-by-step explanation:

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