Coverage
2. $100,000/$150,000
Amounts Due Victims
$110,000; $60,000; $103,000

Thus, the dimensions that will give the maximum enclosed area are:  x = (320 - 3w)/4 and y = 80 - 3w/2.

To find the dimensions that will give the maximum enclosed area, we need to use the formula for the area of a rectangle, which is A = lw (where A is the area, l is the length, and w is the width).

Let's call the length of one corral x and the length of the other corral y. Since the corrals are adjacent, they share a common side, which we'll call w.

So we have two equations:

2x + y + 3w = 320 (the total amount of fencing)

A = xy (the area we want to maximize)

We can solve the first equation for y:

y = 320 - 2x - 3w

Then substitute that into the equation for the area:

A = x(320 - 2x - 3w)

Now we need to find the value of x that will give us the maximum area. To do this, we'll take the derivative of A with respect to x, set it equal to zero, and solve for x:

dA/dx = 320 - 4x - 3w = 0

4x = 320 - 3w

x = (320 - 3w)/4

Now we can substitute that value of x back into our equation for y:

y = 320 - 2(320 - 3w)/4 - 3w

y = 80 - 3w/2

We know that w must be positive, so we can find the maximum value of the area by taking the second derivative of A with respect to x:

d^2A/dx^2 = -4

Since this is negative, we know that we have a maximum.

So the dimensions that will give the maximum enclosed area are:

x = (320 - 3w)/4

y = 80 - 3w/2

w > 0

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Autumn paid $2.52 as a tip which was 15% of her bill.

A tip is a financial gift or gratuity given to someone as appreciation for their service, often in a restaurant or other service-related setting. To express gratitude for excellent service, it is common practice in many nations to leave a tip that is a portion of the entire cost. In many nations, leaving a tip is customary, especially in the service sector, which includes restaurants, hair salons, hotels, and taxis. For example, it is typical to tip between 15% and 20% of the whole bill in restaurants in the United States for good service.

The total amount Autumn paid includes the cost of the lunch and the tip, so we need to subtract the cost of the lunch to find the amount of the tip.

Tip = Total amount paid - Cost of lunch

Tip = $19.32 - $16.80

Tip = $2.52

To find the percentage of the tip, we need to divide the tip amount by the cost of the lunch and then multiply by 100:

Tip percentage = (Tip / Cost of lunch) x 100

Tip percentage = ($2.52 / $16.80) x 100

Tip percentage = 0.15 x 100

Tip percentage = 15%

Therefore, Autumn left a tip that was 15% of her bill.

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The least common multiple of x² + x - 6 and 3x² - 12 is equal to 3(x + 3)(x - 2)(x + 2). So, correct option is B.

To find the least common multiple (LCM) of two polynomials, we need to factor each polynomial and then identify the common factors while including the highest power of each factor.

Firstly, let's factor the polynomials given:

x² + x - 6 = (x + 3)(x - 2)

3x² - 12 = 3(x² - 4) = 3(x + 2)(x - 2)

Next, we need to identify the common factors while including the highest power of each factor:

(x + 3), (x - 2), and 3(x + 2)

Therefore, the LCM of the two polynomials is the product of the common factors:

LCM = (x + 3)(x - 2)(3x + 6) = 3(x + 3)(x - 2)(x + 2)

Therefore, the answer is option (b), 3(x + 3)(x - 2)(x + 2).

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Answer: 5÷ 1/6 =30

Step by step explaination:

An equation of this line in slope-intercept form include the following: y = -5x + 6.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (1 - 6)/(1 - 0)

Slope (m) = -5/1

Slope (m) = -5.

At data point (0, 6) and a slope of -5, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 6 = -5(x - 0)

y = -5x + 6

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Answer:

A.

Step-by-step explanation:

The answer is A. 2 seconds after it was shot.

Answer:

3x

Step-by-step explanation:

6 + 3(x-2)

6 + (3x -6)

6 + 3x -6

6-6 + 3x

3x

Answer: 3x

Step-by-step explanation: distribute 6 + 3(x - 2)

                                                               6 + 3x - 6

subtract the numbers 6 + 3x - 6 = 3x

The end behavior of the linear function f(x) = ax - 5 tells us that as x approaches infinity, the value of f(x) approaches infinity, and as x approaches negative infinity, the value of f(x) approaches negative infinity.

To determine the possible values of a that satisfy this end behavior, we need to consider the slope of the function.

Since the function is linear, the slope is the coefficient of x, which is a.

If a is positive, then the function will increase without bound as x approaches infinity and decrease without bound as x approaches negative infinity. This matches the end behavior we want, so we know that a > 0.

If a is negative, then the function will decrease without bound as x approaches infinity and increase without bound as x approaches negative infinity. This does not match the end behavior we want, so we can exclude all negative values of a.

Therefore, the inequality that represents all possible values of a is:

a > 0

Answer: B

Step-by-step explanation:

It's a linear function, a line,   When x is getting bigger y is going up so it's a positive slope.

a  must be a positve number and can't be 0.

so answer is B

Answer:34

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Add like terms

5x + 3x + 7 = 8x + 7

the second expression is 8x + 7 therefore they are equivalent to eachother

After 4000 years, only about 52.5 mg of Radium-226 remains in the original sample containing 300 mg of Radium-226

So if a sample contains 300mg of Radium-226 and 4000 years have passed since its creation, we can calculate the remaining amount of Radium-226 using the following formula:

Remainder= Initial value * (1/2) ^ (time / half-life)

where the Initial amount is the initial amount of Radium-226 in milligrams, time is the time in years, and the half-life is the half-life of Radium-226 in years.

Putting the values given into the formula, we get

Amount remaining = 300 * (1/2)^(4000/1590)

= 300 * (1/2)^2.5

= 300 * 0.1755

≈ 52.5 mg

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Answer:

[tex]x = 11\\\\y = 0[/tex]

Step-by-step explanation:

Given equations are

x + 4y = 11   ....... [1]

x - 6y = 11   ....... [2]

[1]  - [2]

[tex]x-6y& =11\\-\\\underline{x+4y=11}\\\\-10y &= 0\\\\y = 0\\\\[/tex]

Substitute y = 0 in equation [1]
x + 4y = 11

x + 4(0) = 11

x = 11

-

The required, given figure is rotated with angle 90° in anticlockwise direction.

For a better understanding of the rotation of the given figure on a coordinate plane, find out the slope of any one vertex, because every vertex in the figure rotated with the same factor.

Consider the slope of edge AB,
Slope = rise/run
Slope = 3/5

Now the slope of A'B'
Slope = rise/run
Slope = -5/3

Calculate the product of both the slopes,

= -5/3*3/5
= -1

Since it is proven that the product of slopes of perpendicular is always -1, it implies that AB has been rotated with an angle of 90°, so the whole figure rotated in a 90° anti-clockwise direction.

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A seventh grader selected at random has a 76% chance of playing an instrument other than the guitar.

The study of chance and uncertainty is covered in the mathematical field of probability.

There are 38 seventh graders in all who play an instrument, which is equal to 9 + 9 + 11 + 9.

11 + 9 + 9 equals 29, the number of seventh graders who play instruments besides the guitar.

Hence, the likelihood that a randomly selected seventh grader will play an instrument other than the guitar is:

29/38 ≈ 0.763

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Matt needs 120 quilt squares. Option B

1 yard is equal to 3 feet, and 2 1/2 feet is equal to 30 inches (since there are 12 inches in a foot).

So the dimensions of the wall hanging in inches are:

1 yard = 3 feet = 36 inches

2 1/2 feet = 30 inches

To cover the entire area of the wall hanging with quilt squares, we need to divide the total area of the wall hanging by the area of each quilt square.

The area of each quilt square is:

3 inches x 3 inches = 9 square inches

The total area of the wall hanging is:

36 inches x 30 inches = 1,080 square inches

Dividing the total area of the wall hanging by the area of each quilt square gives:

1,080 square inches / 9 square inches = 120 quilt squares

Matt needs 120 quilt squares to cover the entire area of the rectangular wall hanging.

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The philanthropist must make an endowment of $3,125,000 to the heart research center to provide them with $250,000 per year indefinitely.

To calculate the size of the endowment, we need to use the formula for the present value of a perpetuity. The present value of a perpetuity is the amount of money that needs to be invested today to generate a fixed amount of income indefinitely.

The formula for the present value of a perpetuity is:

PV = PMT / r

Where PV is the present value of the perpetuity, PMT is the fixed payment made each period, and r is the interest rate.

In this scenario, the PMT is $250,000, and the interest rate is 8 percent.

PV = 250,000 / 0.08

PV = 3,125,000

Therefore, the endowment must be $3,125,000 to generate $250,000 per year into perpetuity at an interest rate of 8 percent.

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The percentage of values from the z-scores are 29.43% and 5.40%, respectively

Here, we have

Between z = 0.53 and 2.67

This is represented as

Percentage = (0.53 < z < 2.67)

Using a graphing calculator, we have

Percentage = 29.43%

Next, we have

To the right of z = 1.61

This is represented as

Percentage = x > 1.61

Using a graphing calculator, we have

Percentage = 5.40%

For the z-scores, we have

Percentage = 35% to the left of the z-score

This means that

P(z < z) = 0.35

Evaluate

z =  -0.385

Next, we have

Percentage = 18% to the right of the z-score

This means that

P(z > z) = 0.18

z =  0.915

Hence, the z-scores are -0.385 and 0.915

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Answer:

Hello sir

Step-by-step explanation:

I think u need to do

24 x 2 then divide that by 70 percent

Answer:

a)24

b)5

Step-by-step explanation:

16/6=y/9

8/3=y/9

croaa multiply

3y=9×8

divide both sides by 3

3y/3=9×8/3

y=3×8

y=24

b)45/27=x/3

5/3=x/3

3x=5×3

divide both sides by 3

3x/3=5×3/3

x=5

The family lives throughout the year in Canada so there cannot be any fraction.

Given that a family lives in Canada throughout the year, we need to find the fraction of the family does not live in Canada.

So, through out the year means 12 months,

That means the family is leaving there for all 12 months,

So, there cannot be any month when they are not living there,

Hence the family lives throughout the year in Canada so there cannot be any fraction.

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The translated question is =

a family lives in canada throughout the year. every year has 12 months. what fraction of the year, in twelfths, the family don't live in canada? explain.

The burger costs $5.00, the souvenir costs $15.00, and the pass costs $30.00. We have used linear equation to solve the question.

What is linear equation ?

A linear equation is an equation of a straight line with a constant slope. It has the form y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).

Let's represent the cost of the souvenir as x.

According to the problem, the burger cost 1/3 as much as the souvenir, so the cost of the burger is (1/3)x.

The souvenir cost 1/2 the cost of the pass, so the cost of the pass is 2x.

The total cost of the three items is therefore:

(1/3)x + x + 2x = 36.50

Simplifying this equation, we get:

(7/3)x = 36.50

Multiplying both sides by 3/7, we get:

x = 15 (approx.)

So the souvenir cost $15. The burger costs 1/3 as much as the souvenir, or $5. The pass costs 2x, or $30.

The total cost of the three items is therefore:

$15 + $5 + $30 = $50.

Subtracting the $4.00 Jerry had left over, the total amount Jerry spent is $46.00.

Therefore, the burger costs $5.00, the souvenir costs $15.00, and the pass costs $30.00.

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The complete question is :

Jerry brought $36.50 to the state fair. He bought a burger, a souvenir, and a pass. The burger was 1 /3 as much as the souvenir, and the souvenir cost 1/ 2 the cost of the pass. Jerry had $4.00 left after buying the three items. How much did each item cost?

The domain of the given function is the set of all real numbers.

Given is a graph of an absolute value function, we need to find the domain,

We know,

An absolute value function is a function with a definition that contains an algebraic expression within absolute value symbols.

The domain of all absolute value functions that are in the form

() = | + | is the set of all real numbers, or R , while the range is

() ≥ 0, or [ 0, ∞ [ .

Hence, the domain of the given function is the set of all real numbers.

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The median is less susceptible to influence from outliers compared to the mean. When the median and mean are far from each other, it usually indicates that there are outliers present in the data or the data is skewed, which affects the mean value more than the median value.

The median is less susceptible to influence from outliers compared to the mean. This is because the median is not affected by extreme values, but rather represents the middle value of a dataset. On the other hand, the mean can be heavily influenced by outliers, as it takes into account all values in the dataset.

If the median and mean are far from each other, this means that the distribution of the dataset is skewed. In other words, there may be some extreme values that are pulling the mean away from the median.

This could be an indication of the presence of outliers or a non-normal distribution. It is important to investigate further and understand the nature of the data before drawing any conclusions.

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Answer:

Step-by-step explanation:

[tex]\mathrm{\cfrac{1}{4}\left(-4^3+10^2\right)}[/tex]

[tex]\mathrm{\cfrac{1}{4}\times\:36}[/tex]

Therefore, option B. 9 is our answer!

____________________

Hope this helps!

The height of the woman will be 68 inches, so the correct option is B.

Here we know that the average height of women in the United States is 62 inches with a standard deviation of 2 inches.

We want to find the height of a women whose height is 3 standard deviations above the mean.

This is really simple, just take the average height and add 3 times the standard deviation, we will get:

62 in + 3*2in

62in + 6in

68in

The height is 68 inches, so the correct option is B

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Answer:

The distance around the hat using π = 3.14 is 16.64 inches (rounded to the hundredths place).

The number is 16 for which the statement function ()=(2−6)(−4) will be true.

A relationship between inputs and outputs where each input is connected to only one result is called a function.

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The given function is ()=(2−6)(−4)

Assume that, x = (2−6)(−4)

BODMAS rule, B denotes brackets, O denotes order, D denotes  division, M denotes  multiplication, A denotes  addition and S denotes  subtraction

According to BODMAS rule simplify (2-4)

x = (-4)(−4)

Now multiply the numbers:

x = 16

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A statement which could be a representative sample of the population is: 4) She uses a computer program to randomly select names from a list of students at her school.

In Statistics and Science, a population can be defined as a set of similar items or events that comprises every member of a group and from which a researcher, scientist, or experimenter, obtains or generates data for a statistical study such as students in a school.

In Statistics and science, a sample can be defined as a set of data that is collected from a population based on a well-defined sampling procedure.

In this context, we can reasonably infer and logically deduce that a representative sample should reflect all of the proportions for the entire population that was sampled randomly.

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