Write both an explicit equation and a recursive equation for the sequence 4, 2, 1.0.5.0.25
help pleasee​

Answers

Answer 1

Answer:

Step-by-step explanation:

This is a geometric sequence with  first term a1 = 2 and common ratio r = 0.5.

an = a1 r^^n-1)

an = 2(0.5)^(n-1).

Recursive equation:

an = 0.5a(n-1) where n > 2


Related Questions

A mountain climber took 2 minutes to rappel down 60 feet. Which equation shows the correct calculation to show his movement per minute?

Answers

Answer:

–60 ÷ 2 = –30

Step-by-step explanation:

Calculation to determine the equation that shows the correct calculation to show his movement per minute

Using this formula

Speed rate = Distance / Time

Where,

Distance=-60 ft

Time =2 min

Let plug in the formula

Speed rate = -60 ft /2 min

Speed rate = -30

Based on the information given we were told that the climber rappel DOWN which is why the distance was negative.

Therefore the equation that shows the correct calculation to show his movement per minute is –60 ÷ 2 = –30

Can you solve it on paper

Answers

Answer:

28/15

Step-by-step explanation:

PLEASE HELP ME (URGENT)!!!!!
EXTRA POINTS WILL BE GIVEN TO THE BRAINLIEST ANSWER!!!​

Answers

Answer:

Square. If the middle is 90° then all of them have to be.

Answer:

Square

Step-by-step explanation:

Technically that shape is all of them, because squares are all quadrilaterals, but the square is the most precise that you can get.

Hope that this helps!

What is m∠B to the nearest tenth?

ACB is right angle triangle. The length of AC is 14.1 and the length of BC is 22.9.

Answers

Answer:

18.044

Step-by-step explanation:

hope it helps you good day if I'm wrong tell me right away I'll try it out again.

The measure of  ∠B   is 31.6 .

What is trigonometric ratio?

Trigonometric ratios are the ratios of the length of sides of a triangle.

These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

The basic trigonometric ratios formulas are given below,

sin θ = Perpendicular/Hypotenuse

cos θ = Base/Hypotenuse

tan θ = Perpendicular/Base

sec θ = Hypotenuse/Base

cosec θ = Hypotenuse/Perpendicular

cot θ = Base/Perpendicular

According to the question

In right angle triangle ACB

Base BC= 22.9

Perpendicular AC = 14.1

now , using trigonometric ratio

tan ∠B  = [tex]\frac{AC}{BC}[/tex]

tan ∠B  = [tex]\frac{14.1}{22.9}[/tex]

∠B  = [tex]tan^{-1} 0.615[/tex]

∠B  = 31.6

Hence, The measure of  ∠B   is 31.6 .

To know more about trigonometric ratio here:

https://brainly.com/question/25122825

#SPJ2

A cylinder has a diameter of 12 centimeters and a height of 7 centimeters. Which formula below could be used to determine the lateral surface area of the cylinder?

Answers

SA = 12(pi)(7)
SA is about 263.89

Help please!! Will mark brainstest!!
The question is
What do you predict will be the income of someone who has 20 years of experience?
A) the income will be about $72,000 per year
B) the income will be about $63,000 per year
C) the income will be about $36,000 per year
D) the income will be about $49,000 per year​

Answers

I wanna say the answer is b, 63,000 per year

On Wednesday 72% of the customers who bought gas at a gas station also bought a hot dog. There were 25 customers in all who bought gas.

Answers

Answer:

18 People bought hot dogs

Step-by-step explanation:

The question is not complete, but I’m assuming you need the number of people who bought hot dogs.

25 customers bought gas.

72% of them also bought a hot dog.

So thE number of customers who bought hot dogs are 72% of 25

=> 72/100 * 25

=> 0.72 * 25

= 18 people

Can yall help me need help ASAP​

Answers

Answer:

18+2x>_0

18/2 + 2x/2

x= 9

Step-by-step explanation:

first take the 2x to the other side which will automatically change from - to + and then divide both 18 and 2x by 2

Milo is volunteering at a food pantry. In the first hour, he packs 3 boxes every
5 minutes. In the second hour, he packs 5 boxes every 6 minutes. What is the
difference of his packing rates during each hour of his volunteer shift, in boxes
per hour?

Answers

14 boxes per hour
60/5=12
12*3=36
60/6=10
10*5=50
50-36=14

Please help me out with this

Answers

Answer:

112 cm^2

Step-by-step explanation:

Area of a rhombus is equal to half of the product of the diagonals, so it is 14 * 2 * 8 / 2 = 14cm * 8cm = 112 cm^2.

Other point of view: It is the sum of areas of two triangles of area 14*8/2. So the area is 14*8.

What’s the answer -105+(-6)=

Answers

The answer should be -111

the answer for your question is from what i got of course is, -111

Gerald has a bag of 10 colored balls: 3 green, 3 red, and the rest yellow. He randomly draws two balls, one at a time without replacement. Find the probability of drawing at least one yellow ball.

Answers

Answer:

2/3

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that there are 10 balls of which 3 green, 3 red, and the rest yellow

Number of yellow balls = 10 - 3 - 3 = 4

Probability of picking a;

Green ball  = 3/10

Red ball = 3/10

Yellow ball = 4/10

If two balls are picked without replacement, the probability that one is at least yellow will be

YR RY YG GY YY

= 4/10*3/9 + 3/10*4/9 + 4/10*3/9 + 3/10*4/9 + 4/10*3/9

=12/90 *5

= 2/3

Look at the two-dimensional net shown.

A rectangular pyramid. The rectangular base has a length of 10 meters and height of 3 meters. 2 triangular sides have a base of 10 meters and height of 6.4 meters. 2 triangular sides have a base of 3 meters and height of 8 meters.

Which statements are true?
Check all that apply.
The solid formed by the net will be a rectangular pyramid.
The solid formed by the net will be a square pyramid.
All four triangular faces have an area of 12 m2.
There are two sets of opposite congruent triangular faces.
The base has an area of 30 m2.

Answers

Answer: Pyramid A: Base is rectangle with length of 10 meters and width of 20 meters.

Pyramid B: Base is square with 10 meter sides.

Heights are the same.

Step-by-step explanation: The volume of pyramid A is TWICE the volume of pyramid B.

If the height of pyramid B increases to twice the of pyramid A, (from 10m to 20m),  

V of square pyramid = (10m)² * (10*2)/3 = 100m² * 20m/3 = 100m² * 6.67m = 666.67 m³

The new volume of pyramid B is EQUAL to the volume of pyramid A.

1. Jillian and Harold both leave the mall to go home headed in different directions. The angle between their paths towards home is 57(degrees). Harold lives 3.7km from the mall and Jillian lives 2.3km. Determine how far apart these two friends live from each other.

Answers

Answer:

ok mlol

Step-by-step explanation:

Select the correct factor from the presentation and calculate how many calories used. (Round to the hundredths.) A person weighing 174 lbs. jogs 1 mile in 10 minutes.
A). 107.88
B). 113.10
C). 267.69
D). 280.65

(I'd really appreciate it if you could show me how you got your answer and why it works like that. I'm a bit stumped on how to do this part)

Answers

A ten-minute mile is 62% of a factor so you'd use this mans weight and then multiply it by .62. (174)(0.62)=107.88

Determine the volume of a square pyramid that has a height of 7 inches and a base with a side
length of 5 inches

Answers

Answer:

v=58.33in^3

Step-by-step explanation:

v=a^2h/3=5^2×7/3=58.33333 in^3

PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANILEST

Answers

Answer:

-1

Step-by-step explanation:

Answer: 0

If it is near -1 or +1 it means that it has a strong correlation. But if the value is 0 or close to zero it indicates little to no correlation.

Mhanifa please help i will mark brainliest :)

Answers

Answer:

If figures are similar, corresponding sides have same ratio.

Similar polygons

Side IJ x is corresponding with QR, and side HK with PS:

x/6.5 = 25.5/8.5x = 6.5*3x = 19.5 Similar triangles

Ratio of corresponding sides:

x/7 = 18/6x = 7*3x = 21

THIS IS URGET PLEASE HELP IKK GIVE BRAINIEST!!!

Answers

Answer:

I think you are right

Step-by-step explanation:                

Answer:

x=-2

Step-by-step explanation:

Find m
Plz I need helped

Answers

Answer:

m<QPR = 25

Step-by-step explanation:

The sum of <RPS and <QPR make up 40 so:

8x + 7 + 9x + 16 = 40

17x + 23 = 40

17x = 17

x = 1

m<QPR:

9x + 16

9(1) + 16

25

What is a possible result os simplifying the equation 15x-4=3(5x-4)?

Answers

Answer:

C. -4 = -12

Step-by-step explanation:

15x-4 = 3(5x-4)

15x - 4 = 15x - 12

-4 = -12

Line d is parallel to line c in the figure below.

Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6.

Which statements about the figure are true? Select three options.
A.Vertical angles prove that Angle 2 is congruent to angle 5.
B. In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
c. Vertical angles prove that Angle 3 is congruent to angle 6.
D.The triangles are similar because alternate interior angles are congruent.
E.In the two similar triangles, Angle 2 and Angle 4 are corresponding angles.
F.The triangles are similar because corresponding sides are congruent.

Answers

Answer:

Its the 2nd, 3rd, and 4th answer.

Step-by-step explanation:

: )

Have a great day.

Do you want a explanation?

Answer:

2nd 3rd and 4th

Step-by-step explanation:

I am the best :)

HELPP! this is my second time uploading this question:,,)

George tells you that when variables are in the denominator, the equation
2/3+5/x=8/9 becomes unsolvable. George explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to George how the equation is still solvable and explain your reasoning.

Answers

Answer:

X can equal 22.5

Step-by-step explanation:

I've set up the equation below:

[tex]\frac{2}{3} +\frac{5}{x} =\frac{8}{9}[/tex]

With this equation, as any addition equation goes, we assume it to be like this:

A +  B = C

so

C - A = B

that means,

[tex]\frac{8}{9} -\frac{2}{3} =\frac{5}{x}[/tex]

The easiest thing to do is to make 2/3 have the same denominator as 8/9, we do this by...

[tex]\frac{2}{3} *\frac{3}{3} = \frac{6}{9} \\[/tex]

So...

[tex]\frac{8}{9} -\frac{6}{9} =\frac{2}{9} =\frac{5}{x}[/tex]

We now know that 5 over x equals 2 over nine. We can determine x by cross multiplying as follows:

[tex]\frac{5}{x} =\frac{2}{9} \\2x = 45\\x=22.5[/tex]

So, x is 22.5, making the equation indeed solvable.

Have a nice day, fam. This problem really worked my brain! Spread The Love.

19. The dimensions of the rectangular floor base of an office building are
1.5 x 102 feet by 1.35 x 103 feet. What is the perimeter of the base of this
building, in feet?

Answers

305.93949495050500429282

Marissa bought a piece of wood that is a 4 feet long to make shelves. She saws it into five equ pieces. She then draws the model below to find the length of each piece

Answers

where’s the model
attach one looooolll

In two similar triangles find the ratio of corresponding sides if the areas are 50cm²and 98cm²​

Answers

Answer:

5:7

Step-by-step explanation:

The areas of two triangles are 50cm²and 98cm²​.

We need to find the ratio of corresponding sides. It can be calculated as follows :

[tex]\dfrac{s_1}{2_2}=\sqrt{\dfrac{A_1}{A_2}} \\\\=\sqrt{\dfrac{50}{98}}\\\\=\sqrt{\dfrac{25}{49}}\\\\=\dfrac{5}{7}[/tex]

So, the ratio of corresponding sides are 5:7.

On one day a pet store sells 2 birds 6 gerbils 3 fish and 3 hamsters whats the data and relative frequency as a percent?

Answers

Answer:

Birds [tex]F_b=14.3\%[/tex]

Gerbils [tex]F_g=42.9\%[/tex]

Fish [tex]F_f=21.4\%[/tex]

Hamsters [tex]F_h=21.4\%[/tex]

Step-by-step explanation:

From the question we are told that:

Sales

Number of birds  [tex]n_b=2[/tex]

Number of gerbils  [tex]n_g=6[/tex]

Number of fish  [tex]n_f=3[/tex]

Number of hamsters  [tex]n_h=3[/tex]  

Generally the frequency for birds [tex]F_b[/tex] is mathematically given b

[tex]F_b=\frac{n_b}{n}*100[/tex]

[tex]F_b=\frac{2}{14}*100[/tex]

[tex]F_b=14.3\%[/tex]

Generally the frequency for Gerbils [tex]F_g[/tex] is mathematically given b

[tex]F_g=\frac{n_g}{n}*100[/tex]

[tex]F_g=\frac{6}{14}*100[/tex]

[tex]F_g=42.9\%[/tex]

Generally the frequency for fish [tex]F_f[/tex] is mathematically given b

[tex]F_f=\frac{n_f}{n}*100[/tex]

[tex]F_f=\frac{3}{14}*100[/tex]

[tex]F_f=21.4\%[/tex]

Generally the frequency for fish [tex]F_h[/tex] is mathematically given b

[tex]F_h=\frac{n_h}{n}*100[/tex]

[tex]F_h=\frac{3}{14}*100[/tex]

[tex]F_h=21.4\%[/tex]

What’s 4.5 m = what? cm plz anyone help

Answers

Answer:

450 cm

Step-by-step explanation:

1 meter is equal to 100 cm. Thus, we multiply 4.5 with 100 which yields 450 cm.

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

over 1 up 5 each time

What is 12,634 divided by 6

Answers

Answer:

439 :)

Step-by-step explanation:

12,634/6

439

Answer:

2105.66667 or 2105.67 :)

Step-by-step explanation:

hope this helps! have a great day!!

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