A sheep breeding farm counted a total of 40 sheep on their grounds. After one year, the number of sheep doubled. Then in the next year, the number of sheep doubled again. If this trend continues, which of the following options represents the number of sheep on the farm by the end of each year?

Answers

Answer 1

Answer:

Step-by-step explanation:

It is comes under geometric sequence;

40 , 80 , 160 ,320 , ........

First term = a = 40

Common ratio = r = 2

nth term = [tex]ar^{n-1}\\[/tex]

Number of sheep on the farm by the end of each year = [tex]40*(2)^{n-1}\\[/tex]


Related Questions

Help help help help
Plz

Answers

Answer:

Step-by-step explanation:

Probability of getting any number less than 6 = 2/6 =1/3

So, It is unlikely

Answer:

2/6 or 1/3

Step-by-step explanation:

the two umbers less than 6 or 2 and 4. In total on the dice there is 6 numbers. so 2/6 is tha answer and then we spimlify

Which points are solutions to the system of inequalities shown below? Check all that apply!​

Answers

Answer:

y>x+4 (A,B)

y≤3x (B,C,D,E,F)

x≥7(A,B,D)

i realllyyyyyyyy HOPE THIS HELPS YOUUU!!!

Luis and Darcy are required to write essays for their English class. The table shows the number of words they wrote for 10 randomly chosen essays. Complete the steps below to compare the number of words in Luis’s and Darcy's essays using the mean and the median. Luis Darcy 178 231 213 210 198 245 245 259 236 286 198 245 221 231 253 244 189 236 177 228 Part A What is the mean number of words in Luis’s essays?

Answers

Answer:

210.8 (mean for Luis), 241.5 (mean for Darcy)

Step-by-step explanation:

Luis 178 + 213 + 198 + 245 + 236 + 198 + 221 + 253 + 189 + 177 = 2108

2108/10 = 210.8 (mean for Luis)

Darcy 231 + 210 + 245 + 259 + 286 + 245 + 231 + 244 + 236 + 228 = 2415

2415/10 = 241.5 (mean for Darcy)

Answer:

it is 210.8

Step-by-step explanation:

10 Points NEED AN ANSWER ASAP PLS SOLVE FOR THE VARIABLE.
1. 2X + 6 = 12

2. 5X - 15 = 3X + 4

Answers

Answer:

1. x = 3.

2. x = 9.5.

Step-by-step explanation:

1. 2x + 6 = 12

2x = 6

x = 3.

2. 5x - 15 = 3x + 4

5x - 3x = 4 + 15

2x = 19

x = 9.5.

Hope this helps!

Step-by-step explanation:

1).

2x + 6 = 12

Send the constant to the right side of the equation

That's

2x = 12 - 6

2x = 6

Divide both sides by 2

x = 3

2).

5x - 15 = 3x + 4

Group like terms

We have

5x - 3x = 15 + 4

Simplify

2x = 19

Divide both sides by 2

x = 19/2

Hope this helps you

Find the correct algebraic representation of the rotation shown below.

a. (y, -x)
b. (-x, -y)
c. (-y, x)
d. (y, x)

Answers

Answer:

-y, x

Step-by-step explanation:

x values go from negative to positive and the y  values remain negative

is x=-3 a function plz respond in one minute

Answers

Answer:

x = -3 is not a function because, for one thing, its graph does not pass the vertical line test.

Step-by-step explanation:

IDK what to put up here any more so imma copy-paste this

Answers

Answer:

its 3 units.

Step-by-step explanation:

Answer: 3 units

Step-by-step explanation:

Points A and B have the same y value.  Thus, subtract the x-values from each other to get 5 - 2 = 3.

Hope it helps <3

order the following values from least to greatest: 22.4, -28, 27, -17

Answers

Answer:

asDawas

Step-by-step explanation:

sadasda

Answer: -28, -17, 22.4, 27

hope this helps

According to the diagram below, LMK = XYZ by HL. If the Pythagorean
theorem is used to show LK=XZ. congruence can also be shown by which of
the following theorems?

A. AAS
B. НА
C. LA
D. SSS

Answers

Answer: D. SSS

SSS = side side side, basically it says that if we have three pairs of congruent corresponding sides, then we have enough information to prove the triangles congruent. The first two pairs of sides are visually shown by the tickmarks. The third pair of sides is LK = XZ as found by the pythagorean theorem. The pythagorean theorem only works for right triangles.

30. Three apples plus twice as many pears add up to one-half the number of grapes in a fruit basket. How many grapes are
in the basket?
(A) 8
(B) 18
c.28
d.38​

Answers

Answer:

3 + 6 = 1/2(#grapes)

3 + 6 = 9

9 = 1/2(#grapes)

2(9) = 1(#grapes)

18 = # of grapes

Step-by-step explanation:

pls help !
simplify

Answers

Answer:

B

Step-by-step explanation:

Sqaure roots can be rewritten as fractions.

The numerator will be rewritten as 6^(1/4)

The denominator will he written as 6^(1/5)

Now u can subtract the power, but u have to find a common denominator so it is now (5/20)-(4/20)

The denominator stays the same so you are left with 1/20 which is still the power over 6

6^1/20

Answer:

[tex]6^{\frac{1}{20} }[/tex]

Step-by-step explanation:

[tex]6^{\frac{1}{4} } /6^{\frac{1}{5} }[/tex]

1/4 - 1/5 = 1/20

if the edges of the base of a rectangular prism are 8 cm and 6 cm, and the diagonal is 10√2, what is the volume of the solid?

Answers

Answer:

221.12 cm^3

Step-by-step explanation:

Imagine that you have the 6cm side of the prism base facing you, and that you cut the prism in half through the vertex.  Doing this will form two triangles.  The hypotenuse of the triangle is the same as the "diagonal" that is 10√2 cm.  The base of this triangle is half of the 6" side, or 3 cm.

Use the Pythagorean Theorem to determine the height (h) of the prism:

h^2 + 3^2 = (10√2)^2, or

h^2 = 200-9 = 191

Then the height is √191 cm

and the base area is 6cm times 8 cm, or 48 cm^2

and so we end up with the volume V = (1/3)(base area)(height), or

                                                           V = (1/3)(48 cm^2)(√191 cm), or

                                                                  roughly 221.12 cm^3

You are going to make “words” using the letters in the word WHISKAS. a) How many seven-letter words can you make? b) How many seven-letter words can you make if the two S’s must be together? c) How many seven-letter words can you make if the words must begin with A and end with H?

Answers

Hey there! I'm happy to help!

PART A

When we say words, we don't really mean words. We just mean how many different ways we can arrange the letters. We could make a word like Hiskasw and that would work.

We have six different letters: w, h, i, s, k, and a. We have two s's and this will be very important when finding these permutations.

The first thing we do is take the number of letters and find its factorial. In this case, it is seven, so we have 7×6×5×4×3×2×1=5040.

But, this is not how many combinations there are, because we have two s's, and since they are the same many of our combinations are actually identical, but the s's are just switched. So, we take the number of s's (2) and we factorial it, which just still equals two, and then we divide our first factorial by that.

5040/2=2520

There are 2520 ways you can arrange the word WHISKAS.

PART B

Let's think of the seven letter slots in the word. It doesn't matter where you place one of the S's, but a slot next to the first S you place only has one choice of letter, which is another S to make it adjacent. This means that one  specific slot is required to have an S. If we start off filling in our required one with an S, we have six letters left to fill in our other slots, which will give us a result of 6!, which is 720 seven-letter words.

PART C

Now, we have to have A be the first term and H be the last. If we think of the seven letter slots, we have only one choice on the first one, which is A, and only one choice on the last one, which is H. This leaves us with 5! or 120 possibilities, but we also have to divide by two because we have two S's, so there are 60 seven-letter words you can make if the words must begin with A and end with H.

Have a wonderful day!

Expression Name Expression E 3.8 + 0 F 0 + 0.5 G –8 + 0 H 9 ÷ 0 The table above shows four numeric expressions. Which expression is an integer when it's evaluated? Question 2 options: A) H B) E C) F D) G

Answers

Answer:

  D) G

Step-by-step explanation:

E evaluates to 3.8 +0 = 3.8 . . . not an integer

F evaluates to 0 +0.5 = 0.5 . . . not an integer

G evaluates to -8 +0 = -8 . . . an integer

H evaluates to 9/0 = undefined . . . not an integer

__

Expression G evaluates to an integer.

A cylinder has a volume of 675.1 cubic centimeters. The diameter of the cylinder is 10 cm. What is the height of the cylinder? (Assume = 3.14)

Answers

Answer:

8.6 cm

Step-by-step explanation:

V=pi r-squared h

diameter of 10 means radius of 5

675.1=3.14x5x5xh

675.1=78.5h

8.6

the water was pumped out of a backyard pond. what is the domain of this graph?

A all real numbers less than or equal to 8

B all positive real numbers

C Real numbers from 0 to 8

D all integers less than or equal to 8​

Answers

Answer:

C. Real numbers from 0 to 8

Step-by-step explanation:

Given:

The graph above

Required

Determine the domain of the graph

The first step is to get the range of the depth of the pond

[this is plotted along the y axis]

The highest plot on the y axis is 95 and the least is 0

The next is to determine the corresponding time for the value listed above

When y = 95, x = 0

When y = 0, x = 8

The domain is x: 0 to 8

From the list of given options, option C correctly answers the question.

? Question
Using the scenario and your equation from part A, find the number of shots each player attempted,
Type the correct answer in each box. Use numerals instead of words,
Jared attempted
shots,
Zach attempted
shots,

Answers

What was the scenario and the equation from part A?

Answer:

Jared attempted 60 shots.

Zach attempted 70 shots.

Step-by-step explanation:

HELP ASAP!!! Alex bought a notebook containing 96 pages, and numbered them from 1 through 192. Bob tore out 25 pages of Alex’s notebook, and added the 50 numbers he found on the pages. Could Bob have gotten 2012 as the sum? Show your logic steps on how you draw your conclusion.

Answers

Answer: No it is not possible

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

Explanation:

Page 1 is labeled with 1 and 2, which sum to 1+2 = 3

Page 2 is labeled with 3 and 4 which sum to 3+4 = 7

Page 3 is labeled with 5 and 6 which sum to 5+6 = 11

and so on until we reach

Page 96 is labeled with 191 and 192, which sum to 191+192 = 383

Note how each page has an odd page number label and an even number label (odd on the front side; even on the back side). Adding any odd number to an even number will result in an odd number. We can prove it as such

x = some odd number = 2m+1, m is any integer

y = some even number = 2n, n is an integer

x+y = 2m+1+2n = 2(m+n)+1 = some other odd integer because it is in the form 2p+1 with p = m+n as an integer

This explains why the results 3,7,11,..,383 are all odd.

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

So we effectively have this set of values {3,7,11,...,383}. This is an arithmetic sequence with 3 as the first term and 4 as the common difference.

If we add two odd numbers together, we get an even number (proof is similar to one shown above)

odd + odd = even

But if we add in another odd number, then we'll go back to an odd result

odd + odd + odd = odd

If we have an odd number of odd numbers added up, then the result will be odd. In this case, we're adding 25 values from the set {3,7,11,...,383}. The value 25 is odd, so we have an odd number of values from  {3,7,11,...,383} being added up. Therefore, the result Bob will get will always be odd. There is no way to get a sum of 2012 because this value is even.

In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.

Answers

Answer: 16384

Step-by-step explanation:

Given: Total marbles = 7  (All are distinct)

Total jars = 4

Assume that, the jar is empty.

When we put marbles in the jar, we need to choose jar each time.

For each marble, total choices = Total jars = 4

Then, by using the fundamental counting principle,

The number of ways to put seven marbles in different colors into four jars =

[tex]4^7[/tex]

= 16384

Hence, the required number of ways =16384

Answer:

your answer is 16384

Step-by-step explanation:

have a nice day.

Find the critical numbers for f(x)=cos(x)+sin^2(x) on the interval [0,2pi]

Answers

Answer:

Step-by-step explanation:

Rad [0,2[tex]\pi[/tex]]

f(x)=cos(x)+sin²(x)=cos(x)+1-cos²(x)

--[cos(x)-1/2]²+5/4=f(x)

when cos(x)=1/2,the f(x) has Max=5/4

cos(x)=1/2,x=[tex]\pi[/tex]/3(Rad) or 60°(Deg)

Felix drew two box-and-whisker plots to compare the same sets of data: In the form of a paragraph, use complete sentences to describe some of the differences in the prices of the two sets of books. Refer to the box and whisker plots to justify your answer.

Answers

The first set of data shows that the difference in the prices is very small while the second set of data shows a larger variety of prices. The first set represents its prices in equally divided groups making it easier to read and determine than the second set of data.

Write them in a standard form.

Answers

The equation turns into:

400+70+6+0.6+0.03+0.07

which equals:

476.637

The second equation becomes 4+ 68/1000, which becomes 4.068.

Hope this helps!

what is the nth term of this sequence 7, 9, 11, 13

Answers

Answer:

The nth term of the sequence is

5 + 2n

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 7

d = 9 - 7 = 2 or 11 - 9 = 2

So the nth term for the sequence is

A(n) = 7 + ( n - 1)2

= 7 + 2n - 2

A(n) = 5 + 2n

Hope this helps you

2n+5 I think this is a answer

what is the line of symmetry for the parabola whose equation is y=-x^2-x+2

Answers

Answer:

[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to express this parabola using this kind of expression

   [tex]y=a(x-b)^2+c[/tex]

and then, the line of symmetry will be the line x = b

Let's do it !

[tex]\text{*** Complete the square ***} \\ \\ x^2+x=x+2\cdot \dfrac{1}{2}\cdot x=(x+\dfrac{1}{2})^2-\dfrac{1^2}{2^2}=(x+\dfrac{1}{2})^2-\dfrac{1^2}{4} \\ \\ \text{*** Apply it to our parabola } \\ \\y=-x^2-x+2=-(x^2+x)+2=-[(x+\dfrac{1}{2})^2-\dfrac{1}{4}]+2 = -(x+\dfrac{1}{2})^2+\dfrac{1+2*4}{4}= -(x+\dfrac{1}{2})^2+\dfrac{9}{4} \\ \\ \text{*** It comes ***} \\ \\ \Large \boxed{\sf \ \ y=-(x+\dfrac{1}{2})^2+\dfrac{9}{4} \ \ }[/tex]

So the line of symmetry is

[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

PLEASE READ BEFORE PROCEEDING! I want you all to get the answer without wasting money so you can still answer with something but I will still place the answer at the end of the question. What are two factors of the composite number 46 other than 1 and 46? A. 3 and 7 B. 2 and 13 C. 2 and 23 D. 3 and 33 ANSWER : C. 2 and 23

Answers

Answer:

The answer is C:2 and 23

Step-by-step explanation:

Answer:

U have told the answer in the ques. then why r u asking question.

U know the answer already...

I NEED HELP :_( Which of the following points is in the solution set of y > -x∧2 + 5? (0, 5) (2, 4) (1, 3)

Answers

Answer:

[tex]\huge\boxed{(2;\ 4)}[/tex]

Step-by-step explanation:

We have

[tex]y>-x^2+5[/tex]

Put the coordinates of the given points and check the inequality:

For (0; 5) → x = 0; y = 5

[tex]5>-0^2+5\\5>0+5\\5>5\qquad\bold{FALSE}[/tex]

For (2; 4) → x = 2, y = 4

[tex]4>-2^2+5\\4>-4+5\\4>1\qquad\bold{TRUE}[/tex]

For (1; 3) → x = 1, y = 3

[tex]3>1^2+5\\3>1+5\\3>6\qquad\bold{FALSE}[/tex]

Answer:

y>-x²+5

taking(0, 5)

5>-0²+5

5>5 false

taking 2,4

4>-2²+5

4>-4+5

4>1 true

taking 1,3

3>-1²+5

3>6false

so 2,4 is your answer

IS MY ANSWER CORRECT IS IT A? Please help!!!

Answers

Answer:

Below

Step-by-step explanation:

● 2-a > -12+4

●2-a > -8

Substract 2 from both sides

● 2-a-2 > -8-2

● -a > -10

Multiply both sides by -1 and switch the sign

● a < 10

So if a is less than 10 we aren't sure if it is less than 6 but it could be greather than it .

Yes, you are correct! The six is bigger because it comes down to a negative number when subtracting from 2

hope this helps!

Find the amplitude of the sine curve shown below. a. 3 b. p c. 1.5 d. 6

Answers

Answer:

Amplitude = 3

Step-by-step explanation:

Given

The sine curve above

Required

Determine the amplitude

To determine the amplitude of a sine curve, we have to calculate the distance between the horizontal line of the curve and the top or bottom of the function

Using the top of the curve as a point of reference;

Amplitude = Top of curve - Horizontal Line.

The horizontal line is always at point 0

From the graph above, the top of the curve is at point 3

Hence,

Amplitude = 3 - 0

Amplitude = 3

Find 83 1 3 % of 384 please help I really need it

Answers

Answer:

320

Step-by-step explanation:

0.83333333x384=319.9999999=320

8,313% of 384 is...384•8.313=3192.192

this is the question pls help me 4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received. How many slices of pizza did Harris eat? Write your answer as an expression.

Answers

Answer:

[tex]\frac{n}{4}-1[/tex]

Step-by-step explanation:

If we have a pizza that has [tex]n[/tex] slices and we want to split it between 4 friends, then each friend will get [tex]\frac{n}{4}[/tex] slices.

Now, Harris is one of those friends so he receives  [tex]\frac{n}{4}[/tex]  slices, but he eats one less than he receives. Therefore, we subtract one from this expression to get our final answer of [tex]\frac{n}{4}-1[/tex].

Hope this helped!

Answer:

(n/4 - 1) slices

Step-by-step explanation:

The pizza would be divided into n slices, which in turn would be split among 4 people:

       

   n slices

----------------- = (n/4) slices per person

  4 people          

Harris must have eaten (n/4 - 1) slices.

Other Questions
Instructions: Find FS if BS=16. True or False, Geometric lines are uncertain and unpredictable. please help :) What is 96,989,200 written in scientific notation? A. 96.9892 10 to the 5 power B. 9.69892 10 to the 7 power C. 9.69892 10 to the 6 power D. 9.69892 10 to the 8 power When Dion's father died, he wanted to sensitively explain this death to his 7-year-old son, who was close to his grandfather. According to the textbook, when a child encounters death, parents should: Calculate the maximum volume in mL of 0.18 M HCl that a tablet containing 340 mg Al(OH)3 and 516 mg Mg(OH)2 would be expected to neutralize. Assume complete neutralization. explain the procedure of inducting a new technology on a given business If a watch store paid $125 per watch for a shipment of watches, and sold all but 15 watches from the shipment for $150 per watch, then, in terms of the number of watches in the shipment, y, what function describes the watch stores profit, P, from the sales? A) P(y) = 125(y 15) 150y B) P(y) = 15(125 y) 150y C) P(y) = 150(y 15) 125y D) P(y) = 15(150 y) 125y express 11011 in base two Write 4x2 + 16x - 9 in vertex form. Write 5x2 - 10x + 4 in vertex form. Although appealing to more refined tastes, art as a collectible has not always performed so profitably. During 2003, an auction house sold a sculpture at auction for a price of $10,371,500. Unfortunately for the previous owner, he had purchased it in 1999 at a price of $12,497,500.What was his annual rate of return on this sculpture? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)Annual rate of return % Look at picture to see question Zebra, Inc., a calendar year S corporation, incurred the following items this year. Sammy is a 40% Zebra shareholder throughout the year. Operating income (sales) $100,000 Cost of goods sold (40,000) Depreciation expense (MACRS) (10,000) Administrative expenses (5,000) 1231 gain 21,000Depreciation recapture income $25,000 Short-term capital loss from stock sale (6,000) Long-term capital loss from stock sale (4,000) Long-term capital gain from stock sale 15,000 Charitable contributions (4,500)a. Calculate Sammys share of Zebras nonseparately computed income or loss. b. Calculate Sammys share of any Zebra long-term capital gain. 01:Which expression can be used to model the phrase the sum of three and a number? 6. Explain why household measurement devices, such as teaspoons and tablespoons, should be avoided when measuring dosages? Find the center and radius of x^2 18x + y^2 -10y = -6. part two write x2 18x + y2 -10y = -6 in standard form HEREEEEEEEEEEEEEElollll Much to the chagrin of some Americans, conventional light bulbs were effectively banned in 2014 leaving only compact florescent lights (CFLs) on store shelves. The ban was encouraged, in part, by the makers of the more expensive CFLs. Which concept is best captured in this story? Which of the following is the largest known gravitationally bound structure in the universe?Which of the following is the largest known gravitationally bound structure in the universe?GalaxyClusterSolar systemLocal Group Please answer this correctly without making mistakes Please simplify the correct answer which discribes what a velocity/time graph would look like with no accelaration