D(n) = \dfrac{5}{16} \left(2\right)^{n - 1}d(n)= 16 5 ​ (2) n−1 d, left parenthesis, n, right parenthesis, equals, start fraction, 5, divided by, 16, end fraction, left parenthesis, 2, right parenthesis, start superscript, n, minus, 1, end superscript What is the 5^\text{th}5 th 5, start superscript, start text, t, h, end text, end superscript term in the sequence?

Answers

Answer 1

Answer:

d(5) = 5

Step-by-step explanation:

The nth term is given by :

[tex]d(n)=\dfrac{5}{16}\times 2^{n-1}[/tex] ...(1)

We need to find the 5th term of the above sequence. For this, put n = 5 in the above formula.

[tex]d(5)=\dfrac{5}{16}\times 2^{5-1}\\\\=\dfrac{5}{16}\times 2^4\\\\=\dfrac{5}{16}\times 16\\\\=5[/tex]

So, the 5th term in the above sequence is 5.

Answer 2

Answer:

5

Step-by-step explanation


Related Questions

Can someone please help me on this question?

Answers

Whoever sees this have a great day ❤️

Older Orchards need more hives per acre Caleb has decided to place 6 hives for every 2 acres on an older peach orchard Zeke one of Caleb workers delivery 10 hives to a 30 acre peach orchard did Zeke follow Calebs decision.how does the table prove your answer.

With a table

Answers

Answer:

Zeneca did not follow the directions. In order to follow Caleb's directions, Zelda would need to bring in 6 hives for every 2 acres of peaches.

If there are 30 acres, this means he would 15 groups of 6 hives (90 hives). He only brought 10.

Step-by-step explanation:

In Siberia, a record high temperature of 98 F has been reported. The record low temperature is 192 degrees lower than the record high temperature. What was the coldest Siberia temperature?

Answers

Answer:

Lo: - 94o F

Step-by-step explanation:

Hi: 98oF

Difference: 192 degrees lower

Low: ?

Formula

98 - 192 = -94

That seems incredibly cold. I've lived through a day that was - 60oF and that was enough. (about - 51o C)

If you think in Celcius

The formula is

C =   5/9(F - 32)

C =  5/9 (-94 - 32)

C = 5/9 (-126)

C = -60

I think Siberia must be much colder than -60.

Simply the expression (5x+9y) - (11x-3y+7)

Answers

Answer:

-6+12y-7

Step-by-step explanation:

Who doesn't like short answers, instead of writing a hole paragraph.

Answer:

[tex]-6x + 12y - 7[/tex]

Step-by-step explanation:

[tex](5x + 9y) - (11x - 3y + 7)[/tex]

Lets open the brackets.

[tex]=> 5x + 9y - 11x + 3y - 7[/tex]

Now lets add/substract the like terms only.

[tex]=> 5x - 11x + 9y + 3y - 7[/tex]

[tex]=> -6x + 12y - 7[/tex]

Twice the sum of x and 3 is decreased by 13

Answers

Given:

Twice the sum of x and 3 is decreased by 13.

To find:

The expression for the given statement.

Solution:

The sum of x and 3 is (x+3).

Twice the sum of x and 3 is two times of (x+3), i.e., 2(x+3)

Negative sign is used of decrease.

Decreased by 13 is represented by -13.

Using these representation, we get

Twice the sum of x and 3 is decreased by 13: [tex]2(x+3)-13[/tex]

Therefore, the required expression is [tex]2(x+3)-13[/tex].

Jack can type 35 words per minute. How long would it take Jack to type a 490 word essay?

Answers

490 divided by 35 equals 14. It would take Jack 14 minutes to write a 490 word essay.
490 divided by 35= which is 15 so... 15 min. You can check by multiplying 35 by 15

Four different stores are having a sale on the same pair of shoes that cost $325. The signs below show the discounts available at each of the four stores. What is the price of one pair of shoes at each of the stores?

Answers

Answer:

I would need to see the signs to show each discount to figure this one out.  Can you add it?

Step-by-step explanation:

help please

Determine whether the triangles are congruent. If​ so, name the postulate or theorem that justifies your answer. If​ not, explain.

Are the triangles congruent or not​ congruent? If they​ are, identify by what postulate or theorem.
A.The triangles are congruent by the AAS Postulate.
B. The triangles are congruent by the SSS Postulate.
C. The triangle are not necessarily congruent. Not enough information is provided.
D. The triangles are congruent by the SAS Postulate.

Answers

The answer is D. The triangles are congruent by SAS Postulate

The triangles are congruent by the SAS Postulate.

What are congruent triangles?

A closed polygon made of three line portions shaping three points is known as a Triangle.

If the sides of two triangles are the same length and the angles are the same size, they are said to be congruent. As a result, it is possible to superimpose two triangles side by side and angle by angle.

Given triangles

ΔUTS and  ΔRTS

which shows

UT and RS are parallel

and TS is common side

so ∠UTS = ∠RST

by  UT ║ RS (side)

∠UTS = ∠RST (angle)

TS = TS (common side)

ΔUTS ≅  ΔRTS

by SAS postulate

Hence Triangles are congruent.

Learn more about congruent triangles;

https://brainly.com/question/12413243

#SPJ2

Eliza is planning a 5-day trip. She has budgeted $38.25 a day for food and the hotel will cost a total of $349.75. She also is bringing $495.00 for spending money. What is the average cost per day for Eliza’s trip?

Answers

Answer:

$207.20

I hope this can help in any way!

Isabel created a scale model of her dad's truck. On the scale model, the length of the truck is 51 inches. The length of the actual truck is 17 feet long.

Which scale did Isabel use to create the scale model of her dad's truck?

Answers

Answer:

1 inch = 3ft

Step-by-step explanation:

If you divided 51 feet  by 17 inch  you will get 3 feet. So 1 inch = 3 feet

NOOB

pllsss I needddd helpp

Answers

I can’t see, make it clear

PLEASE HELP WILL MARK BRAINLIEST!!!!!

Answers

Answer:

Samuel's function will have the greatest rate of change.

Step-by-step explanation:

Samuel's rate of change is -15 as shown by the graph. Isaac's is -10, Samuel's has the greatest value because it will change more dramaticly.

samual is -15 issac is -10

Help Me! ASAP! Determine whether each equation has no solution, one solution or infinitely many solutions. Choose No Solution, One solution, or Infinitley Many Solutions for each equation.​

Answers

Answer:

Step-by-step explanation:

(1). One solution

(2). Infinitely Many Solutions

(3). One solution

(4). No Solution

Answer:

1. 1 solution, 2. Infinite solutions, 3. 1 solution, 4. No solution

Step-by-step explanation:

What is the approximate circumference of the circle shown below

Answers

Answer: A) 46.5 cm

Step-by-step explanation:

Circumference = 2 π r or Circumference = π d

In this case, they give us the diameter = 14.8 cm. Therefore the radius = 14.8/2 = 7.4 cm.

π ≈ 3.14.

We can use either equation above, but because the diameter was given, we will use c = πd for simplicity.

C = π d

= (3.14)(14.8)

= 46.47 cm, which rounds to 46.5 cm

Four friends had dinner at a restaurant. The bill was $55.40, and they added a 20% tip. The 4 friends shared the total cost equally. How much money did each person pay?

Answers

Answer:

$16.62 each

Step-by-step explanation:

First, find 20% of the bill to figure out how much the tip is worth:

20% over 100% = $x over $55.40 ---> 20 * 55.4 / 100 = 11.08

Now that we know the tip is $11.08, next add it on to the bill:

$11.08 + $55.40 = $66.48

Now divide this by 4 to split the bill evenly between the 4 friends:

$66.48 / 4 = $16.62

Isaiah gave $18 to his Friends. He gave 4 to Ricardo, $7 to Jeremiah, and the rest to Fabian. how much money did Fabian get?​

Answers

Answer:

Fabian got $7.

Step-by-step explanation:

Isaiah gave $18 to his friends--Ricardo got $4, Jeremiah got $7, and Fabian got the rest. This needs a math equation!

4 + 7 + f = 18

where f is the amount of money Fabian got.

4 + 7 + f = 18

(subtract 4 from both sides)

7 + f = 14

(subtract 7 from both sides)

f = 7

It looks like Fabian got $7! Let's check just to make sure.

4 + 7 + f = 18

4 + 7 + (7) = 18

18 = 18

It checks out!

The answer is.. $7.00

Hope this helps!!

HELP ME PLEASE!!!!!!

Answers

a) (0,0) and (3,1)

1-0 divided by 3-0

Slope is 1/3

the slope represents the relationship between x and y

b) (6,2) and (-3,-1)

-1-2 divided by -3-6

Slope is 1/3

c) yes, the two triangles represent the same slope as all of the four points used are collinear (on the same line), making all the slopes equal.

PLEASE HELP VERY URGENT!



The graph shows the distance Kerri drives on a trip. What is Kerri's speed?
Driving Time and Distance

A. 25 miles per hour
B. 60 miles per hour
C. 75 miles per hour
D. 50 miles per hour

Answers

Answer:

Kerri's speed = 50 mile per hour. Therefore option (D) is true.

Step-by-step explanation:

Given the distance-time graph

It is clear from the distance-time graph that:

at Time = 1 hour, Distance = 50 milesat Time = 2 hours, Distance = 100 miles

so the two points on the distance-time graph is:

(1, 50)(2, 100)

Finding the slope between the points to determine the speed.

Please note that the slope between the points represents the speed or rate of change.

Speed = Rate of change = y₂-y₁ / x₂-x₁

                                         = 100 - 50 / 2-1

                                          = 50 / 1

                                           = 50 miles per hour

Thus, Kerri's speed = 50 mile per hour. Therefore option (D) is true.

Which events are independent?

Select each correct answer.



One coin is drawn from a bag of coins after another coin is drawn without replacement.
Two white balls are drawn from a bag of balls without replacing the balls.
Two spinners are spun at the same time.
A six-sided number cube is rolled and a coin is flipped.

Answers

Answer:

A six sided number cube is rolled and a coin is flipped

Step-by-step explanation:

These are two different objects that have 0 correlation with eachother

help please I beg✨✨✨✨✨​

Answers

Answer:  5x-3

=======================================================

Explanation:

Think of x as a placeholder for a number. For me, I tend to think of it as a box. It's handy that the letter x is part of box, to help make that connection better. We have some box and inside the box goes a number.

If we multiply 5 by whatever is in the box, we can write it like [tex]5*\square[/tex]

Then let's say we fill that box with the value 7. We would then have [tex]5*\boxed{7}[/tex]

If we put 3 in the box instead we'll have [tex]5*\boxed{3}[/tex] and so on

Unfortunately the box symbol isn't something we could easily write on a keyboard, so we go with x instead to make life simpler.

--------------------------

So far we've shown that "5 times a number" turns into 5*x or just 5x.

From here we subtract off 3 to get 5x-3 as the final answer. Whatever the result of 5x is, we subtract off 3.

The answer would not be 3-5x since this means "subtract 5x from 3". The order of subtraction matters. In general, A-B is not the same as B-A.

A carpenter has a wooden board that measures 14 meters long. He must cut the board into 6 pieces of equal length. How long, in meters, should the carpenter cut each piece?

Answers

Answer:

2 1/3 meters

Step-by-step explanation:

You would simply divide 14 by 6 which gives you 2.3 repeating and 0.3 repeating is the fraction 1/3.

You deposit $400 in an account. The account earns $18 simple interest in 9 months. What is the annual interest rate

Answers

Use the formula,

I = Prt

P = Principal amount = 400

I  = interest = 18

r = annual rate

t = time in years = 9/12 = 3/4

so,

18 = 400*r*3/4

r =  0.06

so the annual interest rate is 0.06 or 6%.

Find the value of : 0.678 multiplied by 9.01/0.0234

Answers

Answer:

261.06 (Approx)

Step-by-step explanation:

Given:

Two number = 0.678,9.01/0.0234

Find:

Multiply

Computation:

⇒ 0.678,9.01/0.0234

⇒ 0.678 x [9.01/0.0234]

⇒ 6.10878 / 0.0234

⇒ 261.058874

261.06 (Approx)

Solve the following equations
3y-6x=48
y=3x+11

Answers

Answer:

See below

Step-by-step explanation:

a). 3y-6x=48

soln

or, 3xy=48

or, xy=48÷3

or, xy=32,,

b). y=3x+11

soln

or, y=13x

or, xy=13,,

X=5 y=26 I don’t know what to say it said add more characters so here that goes..

Miguel took 7 hours to read a 259-page book and Julissa took 5 hours to read a 175-page book. Who read more pages per hour?

Answers

M: 259/7=37 pages per hour
J: 175/5= 35 pages per hour

Answer: Miguel

What is the equation in slope-intercept form of a line that passes through the point (4, 5) and has a slope of 1/2?

Answers

Answer:

1/2x + 5

Step-by-step explanation:

The y intercept is 5 & the slope is already given!

Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?
x cubed (RootIndex 3 StartRoot y EndRoot)
x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 27 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 24 Baseline (RootIndex 3 StartRoot y EndRoot)

Answers

Answer:

Answer is D

Step-by-step explanation:

On Edge 2020

On a scavenger hunt, you find 19 out of 20 objects. Write "19 out of 20" as a fraction, a decimal, and a percent

Answers

Fraction: 19/20

Decimal: 0.95

Percent: 95%

I need help thank you

Answers

Answer:

x is greater than or equal to 8.75 or 8 3/4

Step-by-step explanation:

So we first write the inequality 3 + 1.2c "is greater than or equal to sign" 13.5. Then we subtract 3, then divide both sides by 1.2 to isolate c. We get x "is greater than or equal to" 8.75.

Does anyone know how to solve this (4-7i) - (-3+6i) ?

Answers

Step-by-step explanation:

(4-7i)-(-3+6i)

4-7i+3-6i

7-13i(simplified)

Answer:

7-13i

Step-by-step explanation:

(4-7i) - (-3+6i)

4-(-3)+(-7-6)i

7-13i

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