Find the value of a5, given the sequence defined as: a1 = 32 an = (1/2)an-1

Answers

Answer 1

Answer:

a5 = 2

Step-by-step explanation:

If a1 = 32,

a1 = 1/2 a0 = 32

a0 = 64

With that, we know that

a0 = 64,

a1 = 32

so, a2 is definitely 16. From that, we may know the formula,

an = a0 (1/2)^n

a5 = a0 (1/2)^5

a5 = 64 (1/32)

a5 = 2


Related Questions

Which of the following is the solution set of the given equation?
(x-3)-2(x+6)=5

Answers

Answer:

the answer is x=-20 there you go

Answer: x = - 20 Hope I Helped!!

Step-by-step explanation:

Distribute

Eliminate Redundant Parentheses

Subtract The Numbers

Combine Like Terms

Add 15 to both sides of the equation!!!

ARE ON
1. Which of the following is most likely a graph of y=-2x +3?

Answers

The answer is:y=-1x+3

a sixth grade student can complete 20 multiplication facts in one minute if you works at the same rate how long should it take him to complete 35 multiplication facts? [type answer as decimal number.]​

Answers

Answer:

It should take him 1.75 minutes to complete 20 multiplication facts, which is the same thing as 1 minute and 45 seconds, or 105 seconds.

Step-by-step explanation:

a. If it takes him one minute to complete 20 multiplication facts, that's 3 seconds per question, because 60/20 = 3.

b. Multiply 3 x 35 questions to get 105 seconds.

c. Divide 105 seconds by 60 seconds (60 in a minute) to get 1.75 minutes, which is the same thing as 105 seconds.

Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day and good luck on your assignment. :)

Answer:

The answer is 1.75 minutes :)

Step-by-step explanation:

I used my calculator to figure this one out.

Find the area of the shaded region. Round your answer to the nearest hundredth.
6 m
IT T
24 m
The area is about
square meters

Answers

The area of the shaded region in the circle to the nearest hundredth is 1695.60 meter squared.

Area of a circle

area = πr²

where

r = radius of the circle

The area of the shaded portion is the difference of the area of the large and small circle.

Therefore,

area of the large circle = πr²

area of the large circle = 3.14 × 24²

area of the large circle = 3.14 × 576

area of the large circle = 1808.64 m²

Therefore,

area of the small circle = 3.14 × 6²

area of the small circle = 3.14 × 36

area of the small circle = 113.04 m²

The area of the shaded region  = 1808.64 - 113.04 = 1695.6 m²

learn more on area here: https://brainly.com/question/16761235

express the ratio in its simplest form 1\4:1\8:1\16​

Answers

Answer:

4 : 2: 1

Step-by-step explanation:

[tex] \frac{1}{4} : \frac{1}{8} : \frac{1}{16} \\ \\ multiplying \: throughout \: by \: 16 \\ \\ 16 \times \frac{1}{4} : \:16 \times \frac{1}{8} : \: 16 \times \frac{1}{16} \\ \\ 4 : 2 : 1[/tex]

Pls help and show workings
Due ASAP

Answers

Answer: B

Step-by-step explanation:

The equation [tex]y+2=\frac{3}{4} x-8[/tex] is not yet in slope-intercept form([tex]y=mx+b[/tex]).  Simply subtract 2 from both sides to turn the equation into slope intercept form as [tex]y=\frac{3}{4}x-10[/tex].  For a line to be perpendicular to another, it must have an opposite reciprocal slope.  A reciprocal is the fraction reversed, where the numerator is the denominator and vice versa.  Thus, 3/4 would become 4/3.  The opposite reciprocal of 3/4 would be -4/3.

The slope of the line given is 3/4.  Thus, simply plug in the opposite reciprocal of 3/4 for the slope to get: [tex]y=-\frac{4}{3} x+b[/tex].  Then, because the line passes through -12, 1, plug those values in for x and y, respectively.  

[tex]1=-\frac{4}{3}*-12+b[/tex]

[tex]1=16+b[/tex]

[tex]-15=b[/tex]

Thus, the equation of the line is [tex]y=-\frac{4}{3} x-15[/tex], or B.

Hope it helps :D

OMG WILL SOMEONE PLEASE HELP I NEED THIS!!!!!!!!!!! I WILL GIVE A LOAD OF POINTS!!! The price for X pounds of almonds at the Snack Shack is represented by y = 6.5x. Which store sell almonds at a lower unit rate cost? How much lower?

Answers

c

Step-by-step explanation:

because th x value of 9 will determine rhe shape of s

Find each measure.
10. RT=
11 AB=
12 HJ=
13. EH=
14. m 15. m

Answers

Hi make sure u try ur best because u gunna be successful I promise you so don’t give up please

please help me im stuck!!!!

Answers

Answer: 1072.8 cm³

Step-by-step explanation:

The volume of a hemisphere: 2/3πr³

Radius = 8 cm

2/3 × 22/7 × 8³

2/3 × 22/7 × 512 = 1072.761

1072.761 ≈ 1072.8

The volume of this hemisphere is 1072.8 cm³

Hope this helped!

how do I solve the symptoms of linear equations by substitution
2x-y=23
x-9=-1​

Answers

Answer:

x = 8, y = -7

in coordinate form: (8,-7)

Step-by-step explanation:

first, find x using the second equation:

x - 9 = -1

add 9 to both sides of the equation

x - 9 + 9 = - 1 + 9

x = -1 + 9

x = 8

next, substitute x for 8 in the first equation:

2x - y = 23

2 * 8 - y = 23

16 - y = 23

16 - y + y = 23 + y

16 = 23 + y

16 - 23 = y

y = -7

also, I had this exact question on an assignment earlier today ahah

Yes!! the person above got the correct answer!! hope you have an awesome day!!

Read, and choose.

A. 10%

B. 25%

C. 50%

D. 80%

Answers

It’s c.......................:)

Domingo is replacing the baseboards in his home and calculates that he will need 637.5 feet of wood. When he travels to the hardware store, he discovers that baseboards are sold in 7.5-foot lengths. How many boards will Domingo need to purchase?

Answers

Answer:

Number of boards= 85

Step-by-step explanation:

Giving the following information:

Total wood required= 637.5 feet of wood

The baseboards are sold in 7.5-foot lengths.

To calculate the number of boards, we need to use the following formula:

Number of boards= total wood required / foot per board

Number of boards= 637.5 / 7.5

Number of boards= 85

Find y.
Round to the nearest tenth:
31°
y
X
400 ft
y = [? ]ft

Answers

Answer:

y = 240.3 ft

Step-by-step explanation:

Use trigonometric ratio to find y:

Thus,

Reference angle = 90° - 31° = 59°

Opposite = 400 ft

Adjacent = y

Therefore:

Tan 59° = 400/y

Multiply both sides by y

y*tan 59 = 400

Divide both sides by tan 59

y = 400/tan 59

y = 240.3 ft (to the nearest tenth)

Which one is linear

Answers

A because linear means straight line
A is the answer !!!!!

Find the area of square in m’ if its side has the following dimensions.
(a) 90 cm
(b) 1 m 50 cm

Answers

Answer:

trol c(:

Step-by-step explanation:

XD

Evaluate the expression when a=−15 and b=−5.
b2/a + 5

Answers

Answer:

-2.5

Step-by-step explanation:

Evaluate the expression:

b²/(a + 5)

When a= −15 and b=−5

Substitute values:

b²/(a + 5) =(-5)² / (-15 + 5) =25/(-10) =-2.5

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

In case the expression is b²/a + 5, the value is:

b²/a + 5 =(-5)²/(-15) + 5 =25/(-15) + 5 =- 5/3 + 5 =10/3

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

Abble is going out for pizza with her friends. For $60 total, they can buy p pizzas. Each
pizza costs $12.
P

Answers

Answer:

Step-by-step explanation:

if Abble buy pizzas for 60 dollars

60/12=5

he can buy 5 pizzas

p=5

Cannon went to the local coffee shop for his dad and cousin to treat them to a caffeinated treat. He spent a total $18.00 for a $15.00 coffee order. What percent was the tip?

Answers

Answer:

16.67%

Step-by-step explanation:

TIP = $18 - $15 = $3

Percentage of tip=  [tex]\frac{tip}{total amount spent}[/tex] x 100

= [tex]\frac{3}{18}[/tex] x 100 = 16.67%

Tbh you c u t e ;)
No capppppppppppppppppppppppppppppppp​

Answers

Answer:u 2

Step-by-step explanation:

21 points.

List the vocabulary word given in each diagram.

Answers

Answer:

1. Median

2. Point of Concurrency

3. Centroid

4. Incenter

5. Concurrent Lines

6. Circumcenter

7. Altitude

8. Orthocenter  

9. Vertices

(I'm not sure if the entirety of the vocabulary words are accurate, but they make sense.)

Kristen's school is due west of her house and due south of her friend Cooper's house. The
distance between the school and Cooper's house is 9 miles and the straight-line distance
between Kristen's house and Cooper's house is 10 miles. How far is Kristen's house from
school? If necessary, round to the nearest tenth.
miles

Answers

Answer:

Kristen's house is 4.4 miles away from her school

Step-by-step explanation:

Pythagora's Theorem

In any right triangle, the square of the measure of the hypotenuse is the sum of the squares of the legs. This can be expressed with the formula:

[tex]c^2=a^2+b^2[/tex]

Where

c = Hypotenuse or largest side

a,b = Legs or shorter sides

The situation described in the problem forms a right triangle shown in the image below.

Applying Pythagora's Theorem :

[tex]10^2=9^2+x^2[/tex]

Solving for x:

[tex]x^2=10^2-9^2[/tex]

[tex]x^2=100-81=19[/tex]

[tex]x=\sqrt{19}=4.4[/tex]

Kristen's house is 4.4 miles away from her school

4.Solve -3.1s = -19.22.
A.
-59.582
B.
6.2
C.
-6.2
D.
59.582


Plzzz

Answers

Answer:

s=6.2

Step-by-step explanation:

-3.1s=-19.22

divide -19.22 by -3.1 to get s

s=6.2

Pls help pls I’ll mark u brain

Answers

Answer:

In the third month, Becca walks 7 dogs.

I think the answer is 7 dogs

Janice earns $17.60 an hour plus double overtime for weekend work. Last week, she worked her regular 30 hours plus 12 weekend hours. What was her total pay?

Answers

Answer:

17.60 X 30 =528

17.60 x 2 = 35.20

35.20 X 12= 422.40

528+422.40= 950.40

Using the sum of the angle measures of a triangle, m angleC=?

Answers

Answer:

m∠C = 66°

Step-by-step explanation:

Given

m∠ A = 33°

m∠ B = 81°

To determine

m∠C = ?

We know that sum of angles of a triangle is 180°.

so using the equation

m∠ A + m∠ B +  m∠C = 180°

substituting m∠ A = 33°, and m∠ B = 81° in the equatio

33° + 81°+m∠C= 180°

114° + m∠C = 180°

m∠C = 180° - 114°

m∠C = 66°

Therefore,

m∠C = 66°

What is the volume of a cylinder with a diameter of 12 m and a height of
27 m. Remember, d=2r.

Answers

Answer:

3053.63m³

Step-by-step explanation:

use a calculator, not brainly

4. At Sports Shoe Warehouse, the cost of 9 pairs of baseball shoes is $855 plus $92 for each additional pair.
From Winning Team Shoes, the cost of 9 pairs of baseball shoes is $810 plus an additional 7% for each
additional pair. For how many total pairs of baseball shoes does each vendor cost about the same?

Answers

Answer:

10.46

Step-by-step explanation:

Let the Number of additional pair = x

Ware house A :

855 + 92x - - - (1)

Warehouse B:

Initial cost per pair before 9

= 810 / 9 = $90

Additional 7% for pairs after 9

1.07 * 90 = 96.3

810 + 96.3x - - - (2)

810 + 96.3x = 855+ 92x

96.3x - 92x = 855 - 810

4.3x = 45

x = 45 / 4.3

x = 10.46

Additional pair be 10.46

plz awnser i dont know

Answers

Answer:

Question 1. 1/2 hour

Question 2. 1/6

Question 3. 5/12 eggs

I NEED MORE HEEEEEEEEEEEEEEEEEELPPPPPPP
I hate dum maths​

Answers

Answer:

Its in quadrant 3rd

Step-by-step explanation:

it goes

2  l  1

____

3  l  4

For the quadrants.

Is this a function? thanks for the answers:)

Answers

Answer:

Yes

Step-by-step explanation:

I am pretty sure it is a linear function

Answer:

yes

Step-by-step explanation:

[tex]3x+6-y=2y-8\\\\3x+6=2y+y-8\\\\3x+6=3y-8\\\\3y-8=3x+6\\\\3y=3x+6+8\\\\3y=3x+14\\\\y=x+\frac{14}{3}[/tex]

so yes it's a function

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Seeking to drive to the coast of the English Channel and split the Allied armies as they had done in May 1940, the Germans struck in the Ardennes Forest, a 75-mile stretch of the front characterized by dense woods and few roads, held by four inexperienced and battle-worn American divisions stationed there for rest and seasoning.After a day of hard fighting, the Germans broke through the American front, surrounding most of an infantry division, seizing key crossroads, and advancing their spearheads toward the Meuse River, creating the projection that gave the battle its name.Stories spread of the massacre of Soldiers and civilians at Malmedy and Stavelot, of paratroopers dropping behind the lines, and of English-speaking German soldiers, disguised as Americans, capturing critical bridges, cutting communications lines, and spreading rumors. For those who had lived through 1940, the picture was all too familiar. 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