A wildlife preservation group records the number of squirrels in a city park. The first count recorded is 30 squirrels. A second count
of 60 squirrels is recorded six months later, and 120 squirrels are counted at the end
and the growth rate remains the same, which function represents the number of squirrels after x years?

Answer:

Step 3

Step-by-step explanation:

There is no reason as to why they have done -2+2. Surely, the 2 moves to the other side which means it is:

3x=6+2

3x=8

X=8/3.

In this game, the pure best response equilibria (BNE) are when Anna bids 200 and Brian bids 100, or when Anna bids 100 and Brian bids 200. These equilibria occur because both players are playing their best response to the other player's strategy, resulting in a Nash equilibrium.

(a) The normal form of the game can be represented in a payoff matrix where the rows represent Anna's strategies (bids) and the columns represent Brian's strategies (bids):

scss

Copy code

            Brian

         |   100   |   200   |

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

 100 |  (300, 0) | (300, 0) |

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

 200 | (0, 100)  | (0, 200) |

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

In each cell, the first number represents Anna's payoff, and the second number represents Brian's payoff.

(b) To find all pure best response equilibria (BNE), we need to examine each player's strategy and determine if they have a best response to the other player's strategy.

For Anna:

If Brian bids 100, Anna's best response is to bid 200, as this guarantees a higher payoff of 300.

If Brian bids 200, Anna's best response is to bid 100, as this guarantees a higher payoff of 300.

For Brian:

If Anna bids 100, Brian's best response is to bid 200, as this guarantees a higher payoff of 0.

If Anna bids 200, Brian's best response is to bid 100, as this guarantees a higher payoff of 0.

Therefore, the pure best response equilibria (BNE) of this game are:

(Anna: 200, Brian: 100)

(Anna: 100, Brian: 200)

In both cases, both players are playing their best response to the other player's strategy, resulting in a Nash equilibrium.

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Answer:

Graph B

Step-by-step explanation:

The graph that represents z and -2z is as shown below.

"The number of the form a + ib where a, b are real numbers and  \(i=\sqrt{-1}\)"

"For a complex number x + iy, 'x' represents the real part."

"For a complex number x + iy, 'iy' represents the imaginary part of complex number."

For given question,

We have been given a complex number z = -2 + 2i

The real part of the complex number is -2 and imaginary part is 2i

The coordinates would be (-2, 2)

This number lies in the second  quadrant.

Now, consider the complex number -2z

⇒ -2z = -2(-2 + 2i)

⇒ -2z = 4 - 4i

The real part of complex number -2z is 4 and the imaginary part is -4i.

The coordinates of the complex number 4 - 4i would be (4, -4)

Therefore, the graph that represents z and -2z is as shown below.

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Answer:

B) 5

Circle is 360 degr. So (21x+9) +(23x-5) +(26x+6)=360

Combine like terms 70x+10=360

Additive inverse -10 from both sides, 70x= 350

Divide both side by 70 division Property of Equality x=5.

Check your answer by substituting 5 back into original solution!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

it's 4

Step-by-step explanation:

#4 because we can see how x repeats its self 2 times such as (-3,0) and (-3,8)

Answer:

the answer is C.

Step-by-step explanation:

your welcome..

Answer:

youre answer would be 4 so that would be C

An algebraic expression which models the given context would be written as s + 0.02s = 1.05s.

Price can be define as an amount of money which is primarily set by the seller of a good (product), and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product).

An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Let s represent the price of a pair of shoes.

Therefore, an algebraic expression which models the given context would be written as follows:

s + 0.02s = 1.05s.

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The hypothesis test provides strong evidence to reject the null hypothesis. The data indicate that the mean differs significantly from the hypothesized value of μ = 10, The correct option is A.

To determine the conclusion of the hypothesis test, we need to compare the test statistic (t) to the critical value(s) and calculate the p-value.

a. The critical value(s) can be found using the significance level (α) of 0.02 and the degrees of freedom, which is equal to the sample size minus 1. In this case, the degrees of freedom are 8 since the sample size is 9. Using a t-distribution table or a statistical calculator, we find the critical values to be approximately 2.624 and -2.624 (rounded to three decimal places).

b. The test statistic (t) is calculated by subtracting the hypothesized mean (μ) from the sample mean and dividing by the standard error. In this case, the sample mean is 8.78 (sum of the data divided by the sample size), the hypothesized mean is 10, and the standard error is calculated as the standard deviation of the sample divided by the square root of the sample size. The standard deviation of the sample is 1.63. Therefore, the test statistic is approximately -3.22 (rounded to two decimal places).

To determine the conclusion, we compare the test statistic to the critical values. Since the test statistic (-3.22) falls outside the range of the critical values (-2.624 to 2.624), we can conclude that the test statistic is statistically significant at the significance level of 0.02.

Therefore, the correct option is: A. Reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from μ = 10.

To confirm the result, we can also calculate the p-value. The p-value represents the probability of obtaining a test statistic as extreme as the observed value (or more extreme) under the assumption that the null hypothesis is true. Using technology, we can find that the p-value for this test is approximately 0.007 (rounded to three decimal places).

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Answer:  February is the month that serves as the counterexample.

Step-by-step explanation: February has 28 days most years, 29 days in a leap year. So it is an an example that disproves the statement that all months have at least 30 days.

Answer:

6

Step-by-step explanation:

You can memorize these for the smaller shapes

for equilateral polygons:

triangle: 60

square: 90

pentagon: 108

hexagon: 120

Otherwise, I believe the formula is the total degrees in a polygon (s-2)*180 where s is the number of sides.

So the measure of each angle on average would be (s-2)*180/s.

There (s-2)*180/s = 120

180(s-2) = 120s

180s-360 = 120s

60s = 360

s = 6

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Step-by-step explanation:

Just put in n = 1, 2,3,4   into the formula to get

7   10    13    and  16  

Answer:

number 1

Step-by-step explanation:

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y = \stackrel{\stackrel{m}{\downarrow }}{3} x + 3\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{3\implies\cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}\)

so we're really looking for the equation of a line whose slope is -1/3 and that is passes through (3 , 2)

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{- \cfrac{1}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-2=- \cfrac{1}{3}x+1\implies {\Large \begin{array}{llll} y=- \cfrac{1}{3}x+3 \end{array}}\)

The $1314^\text{th}$ digit past the decimal point is 2.

To find the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$, we can use long division to compute the decimal expansion of the fraction.

The long division of $\frac{5}{14}$ is as follows:

```

0.35    <-- Quotient

-----

14 | 5.00

   4.2    <-- Subtract: 5 - (14 * 0.3)

   -----

     80   <-- Bring down the 0

     70    <-- Subtract: 80 - (14 * 5)

     -----

     100   <-- Bring down the 0

      98    <-- Subtract: 100 - (14 * 7)

      -----

       20   <-- Bring down the 0

       14    <-- Subtract: 20 - (14 * 1)

       -----

        60   <-- Bring down the 0

        56    <-- Subtract: 60 - (14 * 4)

        -----

         40   <-- Bring down the 0

         28    <-- Subtract: 40 - (14 * 2)

         -----

         120   <-- Bring down the 0

         112    <-- Subtract: 120 - (14 * 8)

         -----

           80   <-- Bring down the 0

           70    <-- Subtract: 80 - (14 * 5)

           -----

           ...

```

We can see that the decimal expansion of $\frac{5}{14}$ is a repeating decimal pattern with a repeating block of digits 285714. Therefore, the $1314^\text{th}$ digit past the decimal point is the same as the $1314 \mod 6 = 0^\text{th}$ digit in the repeating block.

Since $1314 \mod 6 = 0$, the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$ is the first digit of the repeating block, which is 2.

So, the $1314^\text{th}$ digit past the decimal point is 2.

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Answer: $7,500

Step-by-step explanation:

Use the formula: SI = P(1 + rt)

SI = 5000(1 + 0.05[10])

SI = 5000 + 2500

SI = $7,500

After 10 years, your balance should be $7,500

File name: “TestClass.java” import java.util.Scanner; public class TestClass {

A recursive function is one that generates a series of terms by iterating over or using its foregoing terms as input. This function is typically understood in terms of an arithmetic-geometric series with terms that share similar differences.

File name: “TestClass.java”

import java.util.Scanner;

public class TestClass {

     //Define main() method

     public static void main(String[] args) {

           // Construct a Scanner object

           Scanner scr = new Scanner(System.in);

           //Ask the user to enter a decimal number

           System.out.print("Enter a decimal number: ");

           //Get the decimal number from the user

           int decinum = scr.nextInt();

           // Display the binary number

           System.out.println("The binary equivalent of the decimal value"

                 + decinum + " is " + dec2Bin(decinum));

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The researcher randomly selected and interviewed fifty male and fifty female teachers can be categorized as:

iii. random - The selection of teachers is done randomly, without any specific criteria or pattern.

To solve the absolute-value inequality |8 - x| ≥ 5, we can consider two cases:

Case 1: (8 - x) ≥ 5

To solve this inequality, we have:

8 - x ≥ 5

-x ≥ 5 - 8

-x ≥ -3 (multiplying by -1 and reversing the inequality)

x ≤ 3 (dividing by -1 and reversing the inequality)

Case 2: -(8 - x) ≥ 5

To solve this inequality, we have:

-8 + x ≥ 5

x ≥ 5 + 8

x ≥ 13

Combining the solutions from both cases, we have:

x ≤ 3 or x ≥ 13

So, the solution to the absolute-value inequality |8 - x| ≥ 5 is x ≤ 3 or x ≥ 13.

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Answer:

A = 7 * ( T * 0.15 )

Step-by-step explanation:

In this question, since the actual square footage of the rooms is not provided we can instead create the following formula which will help you calculate the total amount that you will spend on flooring these rooms.

A = 7 * ( T * 0.15 )

In this formula, variable A represents the total dollar amount that will be spent on flooring while T represents the total square footage of the entire home. T is multiplied by 0.15 which is the 15% of the home that makes up the living and dining rooms and then this square footage is multiplied by the cost of the flooring per square footage. Ultimately providing you with the total cost.

Answer:

y= −3/4x + 1

x= -4/3y + 4/3

Step-by-step explanation:

Let's solve for y.

3x+4y=4

Step 1: Add -3x to both sides.

3x+4y+−3x=4+−3x

4y=−3x+4

Step 2: Divide both sides by 4.

4y4=−3x+44

y=−34x+1

___________

Let's solve for x.

3x+4y=4

Step 1: Add -4y to both sides.

3x+4y+−4y=4+−4y

3x=−4y+4

Step 2: Divide both sides by 3.

3x3=−4y+43

x= -4/3y + 4/3

math papa algebra caculator, thank me later

Answer:

the answer is t-x equals tx

The delivery company's statistics on the average driving miles show that the true statements are:

Z score for 99% confidence interval is 2.576 so this can be found as:

= 85.6 ± (2.576 x 9.85) / √50

= (82.01 to 89.19)

Z score for 95% confidence interval is 1.960 so this can be found as:

= 85.6 ± (1.96 x 9.85) / √50

= (82.87 to 88.33)

With a Z score of 1.960:

= (1.96 x 9.85) / √50

= 2.70 miles

= (2.576 x 9.85) / √50

= 3.59 miles

The correct options are therefore 2 and 5.

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The exponential function that is used to determine how much of the isotope is left after x number of half-lives is:

\(A(x) = 90(0.5)^x\)

5.625 mg would be left after 70 days.

A decaying exponential function is modeled by:

\(A(t) = A(0)(1 - r)^t\)

In which:

In this problem, considering that it has 90 mg, and the half-life means that r = 0.5, the equation is:

\(A(x) = A(0)(1 - r)^x\)

\(A(x) = 90(0.5)^x\)

70 days is 70/17.5 = 4 half-lifes, hence:

\(A(4) = 90(0.5)^4 = 5.625\)

5.625 mg would be left after 70 days.

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Answer:

25

Step-by-step explanation:

Distance (d) = √(11 - -13)2 + (2 - 9)2

= √(24)2 + (-7)2

= √625

= 25

Answer: 25 is the answer

Step-by-step explanation:

You are a district sales manager at the sales target for your team 135,000 per month. Your team's annual sales target is $1,620,000.

To calculate the annual sales target for your team, you need to multiply the monthly target by 12 (the number of months in a year):

Annual sales target = Monthly sales target x 12

Given that the monthly sales target for your team is $135,000, the annual sales target would be:

Annual sales target = $135,000 x 12

= $1,620,000

A Sales Manager is a professional responsible for managing a team of sales representatives within a specific geographic area or district. The role typically involves setting and achieving sales targets, developing and implementing sales strategies, and managing relationships with key customers.

Sales Managers are responsible for recruiting, training, and supervising sales staff, as well as monitoring their performance and providing coaching and guidance as needed. They also work closely with other departments within the organization, such as marketing and finance, to ensure that sales goals are aligned with overall business objectives. They must possess strong leadership and communication skills, as well as a deep understanding of their company's products or services and the competitive landscape in which they operate.

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Complete Question:-

You are a district sales manager at the sales target for your team 135,000 per month ? What is your annual sales?

Answer:

it is B

Step-by-step explanation:

i have taken the test

Answer:

Its A

Step-by-step explanation:

Edge2020

The function that represents the total cost for the number of gigabytes is; C(x) = 50x

Some of the steps to writing a system of linear equations from word problems are;

1) Understand the problem like the words used in stating the problem and what exactly you are trying to find.

2) Translate the problem to an equation by assigning a variable (or variables) to represent the unknown.

3) Carry out the plan and solve the problem.

We  are told that her budget is $50 a month. Therefore this is like the rate for each gigabyte and if the number of gigabytes is denoted as x, then the function of the total cost is;

C(x) = 50x

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