Josefina lives near a duck pond. She wants to know how many ducks use the pond. She places leg bands on 12 ducks one day. A week later, she examines 20 ducks and finds that 3 of them have leg bands. About how many ducks use the pond? 80 29 160 50

Given:

The sequence is:

[tex]16,80,400,...[/tex]

To find:

The 6th term of the given sequence.

Solution:

We have,

[tex]16,80,400,...[/tex]

Here, the first term is:

[tex]a=16[/tex]

The ratio between consecutive terms are:

[tex]\dfrac{80}{16}=5[/tex]

[tex]\dfrac{400}{80}=5[/tex]

The given sequence has a common ratio 5. So, the given sequence is a geometric sequence.

The nth term of a geometric sequence is:

[tex]a_n=a(r)^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

Substitute [tex]a=16,r=5,n=6[/tex] to get the 6th term.

[tex]a_6=16(5)^{6-1}[/tex]

[tex]a_6=16(5)^{5}[/tex]

[tex]a_6=16(3125)[/tex]

[tex]a_6=50000[/tex]

Therefore, the 6th term of the given sequence is 50000.

Answer:

[tex]y=\frac{1}{2} x+8[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

Perpendicular lines will always have slopes that are negative reciprocals of each other. For example, two perpendicular lines might have slopes of 3 and -1/3.

After observing the equation y=-2x-5, we can conclude that the slope is -2. Therefore, a line perpendicular to this line would have a slope of 1/2. Plug this into [tex]y=mx+b[/tex]:

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

2) Determine the y-intercept (b)

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

Plug in the given point (-4,6)

[tex]6=\frac{1}{2}(-4)+b\\6=-2+b[/tex]

Add 2 to both sides

[tex]6+2=-2+b+2\\8=b[/tex]

Therefore, the y-intercept is 8. Plug this back into [tex]y=\frac{1}{2} x+b[/tex]:

[tex]y=\frac{1}{2} x+8[/tex]

I hope this helps!

Answer:

I think it is 20%.

Step-by-step explanation:

35 * 0.2 = 7

35 + 7 = 42

Answer:

A on Edge

Step-by-step explanation:

Just took the test and got a 100

The graph that represents the following piecewise defined function is of f(x) = x; x <-2 , -2; -2 < or = to x < or = to 1, x-3; x> or = to 1 is the first graph (Image attached)

A piecewise function is known to be a function that has been formed from pieces of a lot of functions over a lot of intervals.

An example, we can say a piecewise function f(x) where f(x) = -7 when -7 < x ≤ -4, f(x) = 4 when -4 < x ≤ -1, and f(x) = -5 when -1 <x ≤ 7.

The option that best explain the piecewise defined function is the image attached.

Learn more about piecewise defined function from

https://brainly.com/question/26145479

Answer:

5

Step-by-step explanation:

Answer:

249cm or the third option

Step-by-step explanation:

I got it right on the test.  Good luck to you!

Answer:

[tex]10 x - 2y[/tex]

Step-by-step explanation:

[tex]8x−2y+x+x \\ 9x−2y+x \\ 10x−2y[/tex]

theres not picture so like i cant help u with that

Answer:

The statement is false.

Step-by-step explanation:

A parallelogram is a figure of four sides, such that opposite sides are parallel

A rectangle is a four-sided figure such that all internal angles are 90°

Here, the statement is:

"A rectangle is sometimes a parallelogram but a parallelogram is always a

rectangle."

Here if we found a parallelogram that is not a rectangle, then that is enough to prove that the statement is false.

The counterexample is a rhombus, which is a parallelogram that has two internal angles smaller than 90° and two internal angles larger than 90°, then this parallelogram is not a rectangle, then the statement is false.

The correct statement would be:

"A parallelogram is sometimes a rectangle, but a rectangle is always a parallelogram"

Answer:

A turtle.

Step-by-step explanation:

So sorry I messed it up I let you down :(

Answer:

55 cm²

Step-by-step explanation:

In a parallelogram, the top base is equal to the bottom base (and the sides are equal to each other too!)

So the top and bottom base are both 9, and the left and right sides are both 5.

So, to solve, we need to use the equation:

(4 + 1) * (9 + 2) = 5 * 11 = 55 cm²

Answer:

2 degrees

Step-by-step explanation:

1) The temperature at 12:00 PM was -8 degrees celsius

2) The temperature at 1:00 PM was 10 degrees higher than at 12:00 PM

3) -8 + 10 = 2

4) The temperature at 1:00 PM was 2 degrees celsius

5) Draw a number line with the labels 12:00 PM and 1:00 PM on either end

6) Label above 12:00 PM -8 degrees celsius, and above 1:00 PM 2 degrees celsius

7) Draw an arrow pointing from 12:00 PM towards 1:00 PM to show that the temperature changes between 12:00 PM and 1:00 PM  

I hope this helps :D

Answer:the answer is -4f

Step-by-step explanation:

Answer:

The volume is 8

Step-by-step explanation:

Volume=abc

V=(2/5)(2/5)(2/5)

V=8

Answer:

0.056

Step-by-step explanation:

Answer:

56/1000 = .056

Step-by-step explanation:

56/100 = .56

56/1000 = .056

56/10000 = .0056

Answer:

301.4 ft.

Step-by-step explanation:

The radius of this circle is 4; the height of this circle is 6.

Using the formula, πr²h, we can plug-in the unknown values.

In the formula, 'r' means radius, 'h' means height, 'π' means pi. 3.14 is often a substitute for pi.

πr²h - π4² · 6 = 301.44.

301.44 rounded to the nearest tenth is 301.4.

Therefore, the volume of this cylinder is 301.4 ft.

Answer:

180/147

Step-by-step explanation:

We need to find the additive inverse of the given numbers.

SOLUTION 1 :-

→ 3/-7 - 11/21

→ -3/7 -11/21

→ 3×-3 - 11 /21

→ -9-11/21

→ -20/21

SOLUTION 2 :-

→ 9/5 ÷ 7/5

→ 9/5 × 5/7

→ 9/7

→ Product of nos . = -20/21 × -9/7

→ Ans = 180/147

Answer:

-60%

22   -     56

__________         x 100 ~      -60.7                    

                                        ~

      56                                    

Round 60.7

-60%

Hope this helps

                                                                                          -Tobie the dog <3

Answer:

61%

Step-by-step explanation:

1) We are changing the percent from 56 down to 22

2) This means that there will be a negative change in percent

3) This is because the new value (22) is smaller than the old value (56)

4) We must find the change from 56 to 22 in a percent

1) Find the difference between 56 and 22 as a number.

The difference between 56 and 22 is 34

2) Divide the result from Step 1 by the starting number 56.

34 ÷ 56 = 0.60714285714

3) Multiply the result from Step 2 by 100 to get it in terms of percent.

0.60714285714 x 100 = 60.71

4) Round the result from step 3 to the nearest percent.

60.71 ≈ 61%

Make sure you round to the nearest whole percent. In this case it would be 61%

Step-by-step explanation:

a_n=6-n

➜a_1=6-1

➜,a_2=6-2

➜a_3=6-3

➜a_20=6-20

Answer:

R = 12

L = 84

Step-by-step explanation:

R + L =96

L = 7R

R = 1R

L = 7R

1 R + 7R = 8R

R = 12

L = 84

hope it helps,

Answer:

that looks good

Step-by-step explanation:

Answer:

using pythagoras theorem

H^2=P^2+B^2

here h=MN ,opposite(P) be 15 and adjacent(B) be 16

(MN)2=15^2+16^2

(MN)^2=225+256

MN=[tex]\sqrt{481}[/tex]

MN=21.93

after rounding off MN=21.9

Step-by-step explanation:

Answer:

D is the right graph

Answer:

58 and 12

Step-by-step explanation:

CHECK:

58 + 12 = 70

70 - 58 = 12

NOW GO LISTEN TO ALEC BENJAMINS NEW SONG, THE WAY YOU FELT

Answer:

x is 41 and y is 29

Step-by-step explanation:

x plus y is 70 and x minus y is 12

subtract 2 from 1

2y=58

y is 29 and x is

29 plus x is 70 so.....x is41

Answer:

The base of the triangle has a length of 26 meters, and the height of the triangle has a length of 13 meters.

Step-by-step explanation:

Equation to find the height: [tex]\frac{2x*x}{2} = 169[/tex] ⇒ [tex]x^2=169[/tex] ⇒ [tex]x=13[/tex] meters.