The deer in a nearby forest have been thriving and their population has been increasing. If their population starts with 540 deer and increases by 15% each month, how many deer will live in the forest after 16 months? Write the exponential function equation in the form N = N0e^rt . Show your work!

Step-by-step explanation:

11.x+y

12.x=2y+3

13.x‹5

14.x+y›25

15.cannot be determined

Answer:

Step-by-step explanation:

To simplify the expression 5√8 + √3, we can simplify each radical term separately and then combine them.

First, let's simplify the radical terms:

√8 can be simplified as 2√2 because 8 can be factored into 4 * 2, and √4 is equal to 2.

√3 cannot be simplified further since 3 is a prime number.

Now, let's substitute the simplified radical terms back into the expression:

5√8 + √3 becomes 5(2√2) + √3.

Next, we can multiply the coefficients outside the radicals:

5(2√2) is equal to 10√2.

Putting it all together, the simplified expression is:

10√2 + √3.

So, 5√8 + √3 simplifies to 10√2 + √3.

Ages (in years) of a sample of retirement home inhabitants is option B. For the lowest wait time, the maximum frequency is anticipated to be right-skewed. A desert cannot have a maximum annual temperature of 60°F, and it is not conceivable to watch 60+ hours of TV in a single day.

Residents of senior living facilities are typically 84 years old. While there are many couples in these communities, the majority of people who live in independent living are women. Some people move in at or near the minimum age (often around 65), but most people do so between the ages of 75 and 84. Residents come from all different backgrounds.

Many people are choosing senior living in a community environment, including teachers, nurses, small business owners, big business CEOs, university professors, housewives, lawyers, engineers, musicians, and more. Current residents will attest that the rich diversity of origins fosters amazing interactions and relationships. And contrary to popular belief, the majority of residents of independent living are quite active.

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Correct Question:

Match the plot with a possible description of the sample.

60 70 80 90 100

Choose the correct answer below

A. Wait time (in minutes) for a sample of doctors offices

B. Ages (in years) of a sample of residents of a retirement home.

C. Highest yearly temperatures (F) for a sample of deserts.

D. Time (in hours_ spent watching TV in a day for a sample of teenagers.

Answer:

(9)R

Step-by-step explanation:

The value of the given trigonometry function is 2√15/15

Half angles are trigonometric identities used to express sine, cosine and tangent of half angles.

For instance the value of cos theta is expressed as shown below;

cosФ = cos(Ф/2+Ф/2)

cosФ = cos²Ф/2-sin²Ф/2
cosФ = cos²Ф/2-(1-cos²Ф/2)
cosФ  = 1 - 2cos²Ф/2

Given the following parameters

cosФ = -7/15

Substitute

cosФ  = 1 - 2cos²Ф/2

-7/15  = 1 - 2cos²Ф/2

-2cos²Ф/2 = -7/15 - 1

-2cos²Ф/2 = -8/15

cos²Ф/2 = 4/15
cosФ/2 = 2/√15

Rationalize

2/√15 * √15/√15

2√15/15

Hence the value of the given trigonometry function is 2√15/15

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Answer:

3/2

Step-by-step explanation:

Therefore , the solution of the given problem of input and output comes out to be methods for Fixing an Input-Output Table begin with the very first input.

The function generates an output value by using an input value, such as x = 3, as an example. If you substitute 3 for the number x in the equation y = x + 5 y = x + 5, you get y = 3 + 5 = 8 y = 3 + 5 = 8. So, y = 8.

Here,

The output value is as follows.

Both the value of the final goods and services produced and the value added at each stage of production can be used to calculate total output.

An input-output table's governing principle is the mathematical operation or operations that are applied to the input to yield the desired output. The rule can be very basic, like adding 1, or quite complex, like squaring the amount and taking 17 out.

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The exponential function for this problem is defined as follows:

y = 0.5(2/3)^x + 2.

An exponential function is defined as follows:

y = a(b)^x + c.

In which:

From the graph of the function, the horizontal asymptote is at y = 2, hence the parameter c is given as follows:

c = 2.

When x increases by 1, y is multiplied by 2/3, hence the parameter b is given as follows:

b = 2/3.

When x = 0, y = 2.5, hence the parameter a is obtained as follows:

a + c = 2.5.

a + 2 = 2.5

a = 0.5.

Meaning that the function is defined as follows:

y = 0.5(2/3)^x + 2.

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Answer:

5. x=80°, y= 80°

Step-by-step explanation:

5.x=80 (Vertically opposite angle V.O.A)

y=80 (alternate angle)

Answer:

\(f(x) = 5x -11\)  and  \(g(x) = \frac{x + 11}{5}\)

Step-by-step explanation:

Required

The inverse pairs

Solving (a):

\(f(x) = 5x -11\)    \(g(x) = \frac{x + 11}{5}\)

Calculate the inverse of f(x)

\(f(x) = 5x -11\)

Replace f(x) with y

\(y = 5x - 11\)

Swap x and y

\(x = 5y - 11\)

Solve for y

\(5y = x + 11\)

\(y = \frac{x + 11}{5}\)

So, we have:

\(g(x) = \frac{x + 11}{5}\)

Hence, f(x) and g(x) in (a) are inverse functions

Others are not

The length of the chord located 0.7 cm from the centre of a circular ring with a 2.5 cm radius is approximately 3.5 cm.

To calculate the length of the chord, we can use the following formula:

Chord Length = 2 x √(r^2 - d^2)

Where r is the radius of the circular ring and d is the distance between the chord and the centre of the circle.

In this case, r = 2.5 cm and d = 0.7 cm. Plugging these values into the formula, we get:

Chord Length = 2 x √(2.5^2 - 0.7^2) ≈ 3.5 cm (rounded to the nearest tenth)

Therefore, the length of the chord is approximately 3.5 cm. This hidden watermark technique is a simple but effective security measure that can help prevent counterfeiting or tampering with important documents. By incorporating a unique and difficult-to-replicate watermark, the jewellery company can protect its brand identity and ensure the authenticity of its official documents.

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In summary: Sequence 1 has no term out of increasing order. Sequence 2 has the first term out of increasing order at position 2. Sequence 3 has the first term out of increasing order at position 7. Sequence 4 has the first term out of increasing order at position 4. Sequence 5 has the first term out of increasing order at position 3.

1 5 78 99 101 202 400: This sequence is in increasing order throughout, so there is no term that breaks the increasing pattern.

5 2 7 90 85 80 72: The sequence starts with 5, then decreases to 2 (out of increasing order) at position 2.

5 6 9 10 14 21 20: The sequence is increasing until position 6, where it reaches 21. However, the next term, 20, is lower than the previous term, 21 (out of increasing order) at position 7.

3 7 10 9 8 14 17: The sequence starts with 3 and increases until position 3 (10). However, at position 4, the next term, 9, is lower than the previous term, 10 (out of increasing order).

5 77 25 45 22 94 58 99: The sequence is increasing until position 2, where it reaches 77. However, at position 3, the next term, 25, is lower than the previous term, 77 (out of increasing order).

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If Point B \((3,1)\) has translated 2 units to the right and 1 unit up, new coordinates of point B' are \((5,2)\)

As per the question statement, Point B \((3,1)\) is there on a cartesian plane. Point B is translated 2 units to the right and 1 unit up.

Before solving this question, we need to know about cartesian plane system in which, there are four quadrants which are made using positive and negative axes known as positive X and negative X (same for Y axis).

Now point B\((3,1)\) lies in the first quadrant and value "3" describes the location of point on X axis and value "1" describes the location of point on Y axis.

If point B \((3,1)\) is translated 2 units to the right and 1 unit up, the locations of X and Y axes will change to value "5" on X axis and value "2" on Y axis.

Hence the coordinates of point B' are \((5,2)\)

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The limit as x approaches one is infinity.

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} =\infty\)

The limit of a function, f(x) as x approaches a given value b, is define as the value that the function f(x) attains as the variable x approaches the given value b.

From the given question, as x approaches 1,

substituting x into 1 - x,

the denominator of the function approaches zero, because 1 - 1 = 0 and thus the function becomes more and more arbitrarily large.

Thus, the limit of the function as x approaches 1 is infinity.

Therefore,

The limit (as x approaches 1)

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} = \infty \)

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Answer:

hope this helps

Step-by-step explanation:

my parents are the same way so if you listen to classical music then things will stick in you head and you can draw things to remind you what they mean like if you had a definitions then draw what they mean

Answer:

\(g(-3)=42\)

Step-by-step explanation:

Given:

\(g(x)=4x^2+6\)

Let's substitute -3 for \(x\)

\(g(-3)=4(-3)^2+6\)

Now, let's solve

\(g(-3)=4(9)+6\)

\(g(-3)=36+6\)

\(g(-3)=42\)

Hope this helps

Answer:

a = 15 /100  * 28.62 = 4293 /1000

= 4.293

Hope this helps! :)

Answer:

77°

Step-by-step explanation:

Angles on a straight line add up to 180

180 - 103 = b

180 - 103 = 77

The 4 tests for similar triangles are:-

AAA: Three pairs of equal angles.

SSS: Three pairs of sides in the same ratio.

SAS: Two pairs of sides in the same ratio and an equal included angle.

ASA: Two angles and the side included between the angles of one triangle are equal

What is AAA,SAS,ASA,SSS?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle. 

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

According to the  AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

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Answer:

4

Step-by-step explanation:

Answer:

b = \(\frac{2}{9}\)

c = \(\frac{4}{9}\)

Step-by-step explanation:

There are two 6 on the board out of 9 numbers

There are four numbers greater than 10 out of the nine possiblilites

Note that where the above is given, the distance from the sun (one of the foci) tot he center of the hyperbola is 280 million kilometers.

Given

(x²/10404) - (y²/78400) =1

First, the sun is at one of the foci of the hyperbola. So to find the distance,

c² = a² + b²

Where

a = 102

b = √(b²+a²)
c = distance from center to foci


so

a² = 102² = 10404

b² = c² - a² = 78400 - 10404 = 67996

c² = a² + b² = 10404 + 67996 = 78400

c = √(78400) = 280


Since the comet's path is modelled in millions,

the distance from the sun (to the center) is 280 million kilometers.

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To find the direction and magnitude of the resultant of these three forces, we can use the law of cosines and the law of sines.

First, we need to resolve each force into its x and y components using trigonometry.

F1x = 80 * cos(30) = 69.28

F1y = 80 * sin(30) = 40

F2x = 95 * cos(45) = 67.08

F2y = 95 * sin(45) = 67.08

F3x = 125 * cos(120) = -62.5

F3y = 125 * sin(120) = -106.6

Then we can find the x and y components of the resultant force by adding the x and y components of each force respectively.

Rx = F1x + F2x + F3x = 69.28 + 67.08 - 62.5 = 74.86

Ry = F1y + F2y + F3y = 40 + 67.08 - 106.6 = 0.48

Finally, using these values we can use the law of cosines to find the magnitude of the resultant force:

R = sqrt(Rx^2 + Ry^2) = sqrt(74.86^2 + 0.48^2) = sqrt(5633.79) = 75.24

And we can use the law of sines to find the direction of the resultant force:

theta = atan2(Ry, Rx) = atan2(0.48, 74.86) = 0.01

Therefore, the magnitude of the resultant force is 75.24 pounds and the direction of the resultant force is 0.01 degrees.

The standard form of the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3) is (2x - y = -1)

To determine the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3), we can follow these steps:

1. Obtain the slope of the provided line.

To do this, we rearrange the equation (3x + 6y = 5) into slope-intercept form (y = mx + b):

6y = -3x + 5

y =\(-\frac{1}{2}x + \frac{5}{6}\)

The slope of the line is the coefficient of x, which is \(\(-\frac{1}{2}\)\).

2. Determine the slope of the line perpendicular to the provided line.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the provided line.

So, the slope of the perpendicular line is \(\(\frac{2}{1}\)\) or simply 2.

3. Use the slope and the provided point to obtain the equation of the perpendicular line.

We can use the point-slope form of a line to determine the equation:

y - y1 = m(x - x1)

where x1, y1 is the provided point and m is the slope.

Substituting the provided point (1, 3) and the slope 2 into the equation, we have:

y - 3 = 2(x - 1)

4. Convert the equation to standard form.

To convert the equation to standard form, we expand the expression:

y - 3 = 2x - 2

2x - y = -1

Rearranging the equation in the form (Ax + By = C), where A, B, and C are constants, we obtain the standard form:

2x - y = -1

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The expenses incurred by your family, the total annual expenses, including premiums and out-of-pocket costs, amount to $4225 under the given health insurance plan.

To analyze your family's expenses with the given health insurance plan, let's consider the provided provisions and calculate the costs accordingly.

1. Annual Deductible: The deductible is $500, meaning that you are responsible for covering the first $500 of medical expenses before the insurance coverage kicks in.

2. Co-payments:

  - Office Visits: Each office visit requires a $25 co-payment.

  - Emergency Room Visits: Each emergency room visit incurs a $200 co-payment.

  - Surgical Operations: Each surgical operation requires a $1000 co-payment.

3. Monthly Premium: You pay a monthly premium of $350 throughout the year.

Now, let's calculate the total expenses for your family based on the provided information:

1. Start with the monthly premium: $350/month * 12 months = $4200 for the year.

2. Determine the expenses for office visits: If you had, for example, 5 office visits during the year, the total co-payment for office visits would be 5 visits * $25/visit = $125.

3. Calculate the expenses for emergency room visits: If, for instance, you had 2 emergency room visits, the total co-payment for emergency room visits would be 2 visits * $200/visit = $400.

4. Determine the expenses for surgical operations: If there were no surgical operations during the year, the total co-payment for surgical operations would be $0.

5. Calculate the total expenses before reaching the deductible:

  Total expenses = Total co-payments for office visits + Total co-payments for emergency room visits + Total co-payments for surgical operations

  Total expenses = $125 + $400 + $0 = $525.

6. Calculate the total expenses after reaching the deductible:

  Total expenses after deductible = Total expenses - Deductible

  Total expenses after deductible = $525 - $500 = $25.

7. Calculate the total annual expenses, including premiums and out-of-pocket costs:

  Total annual expenses = Total expenses after deductible + Annual premium

  Total annual expenses = $25 + $4200 = $4225.

Therefore, based on the expenses incurred by your family, the total annual expenses, including premiums and out-of-pocket costs, amount to $4225 under the given health insurance plan.

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An equation that represents this situation is 5s + 10a = 3000.

By using the x- and y-intercepts, a graph of the function modeling the total number of tickets sold is shown in the image attached below.

The point of intersection is at the ordered pair (300, 150).

In order to write a linear equation to describe this situation, we would a assign variable to the number of student tickets sold and the adult tickets sold respectively, and then translate the word problem into a linear equation as follows:

Since student are paying $5 while adults are paying $10 for a ticket and the athletic association need to raise $3000 by selling tickets, a linear equation that models the situation is given by:

5s + 10a = 3000

When s = 0, the value of a is given by:

5(0) + 10a = 3000

a = 300

When a = 0, the value of s is given by:

5a + 10s = 3000

s = 600

For the total number of tickets, we have this linear equation:

s + a = 450

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Complete Question:

The Marshall High School Athletic Association sells tickets for the weekly football games. Students pay $5 and adults pay $10 for a ticket. The athletic association needs to raise $3000 selling tickets to send the team to an out-of-town tournament.

1. Write an equation that represents this situation.

2. Use x- and y-intercepts to graph the function modeling the total number of tickets sold on each coordinate plane.

Answer:

Step-by-step explanation:

1 2 3 4  25

The  median is 3.

The mean is 35/5 = 7

The simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

To simplify the given expression, let's evaluate the square roots individually and then perform the addition.

√900 = 30, since the square root of 900 is 30.

√0.09 = 0.3, as the square root of 0.09 is 0.3.

√0.000009 = 0.003, since the square root of 0.000009 is 0.003.

Now, we can add these simplified values together

√900 + √0.09 + √0.000009 = 30 + 0.3 + 0.003 = 30.303

Therefore, the simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

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Answer:

50.24

Step-by-step explanation:

4*4*3.14=16*3.14=50.24

Answer:

50.265

Step-by-step explanation:

Formula : A=

\( \pi 4 { }^{2} \)