At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle (blue) with a radius of 11 m. The inner edge of the sidewalk is a circle (orange) with a radius of 9 m. Find the approximate AREA of the larger circle (blue).

Answer:

it would take 33 5.5 s to reach it's maximum height

Step-by-step explanation:

The solution to this problem involves using calculus to model the total area as a function of the lengths of the wire used for the square and the circle. However, without further context or information, a concrete answer cannot be provided.

In this given case, you have a wire of length 24m that needs to be bent into two shapes - a square and a circle - and we need to know how much wire should be used for the square to maximize or minimize total area. The problem involves concept of both geometry and calculus.

To find the solution we must determine the lengths for the square and the circle that will maximize or minimize the total area. But the concept of area maximization and minimization comes from calculus, especially derivative application. Specifically, to find the maximum or minimum area, we would model the total area as a function of lengths and use first derivative to find where the area is maximized and minimized. Unfortunately, without more context or information, we cannot provide an accurate answer to this question.

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To maximize the total area, use 192 / (2π + 8) units of wire for the square and 24 - 192 / (2π + 8) units of wire for the circle. To minimize the total area, follow the same wire lengths.

To maximize the total area, we need to find the lengths of the wire that will create squares and circles with the largest possible areas. Let's start with part (a).

Part (a)

Let the length of the wire used for the square be x. Then the length of the wire used for the circle would be 24 - x. The perimeter of the square is 4x, so the side length of the square is x/4. The circumference of the circle is 2πr, where r is the radius. Since the wire used for the circle is 24 - x, we have 2πr = 24 - x. Solving for r, we get r = (24 - x) / (2π).

The area of the square is (x/4)^2 = x^2/16. The area of the circle is πr^2 = π((24 - x) / (2π))^2 = (24 - x)^2 / (4π). The total area is the sum of the areas of the square and the circle, so we need to maximize (x^2/16) + (24 - x)^2 / (4π).

Let's find the derivative of this expression with respect to x, set it equal to 0, and solve for x:

(1/8)x - (24 - x) / (2π) = 0

Simplifying, we get (1/8)x = (24 - x) / (2π)

Multiplying both sides by 8 and 2π, we have 2πx = 8(24 - x)

Expanding, we get 2πx = 192 - 8x

Bringing like terms to one side, we have 2πx + 8x = 192

Combining like terms, we get (2π + 8)x = 192

Dividing both sides by (2π + 8), we have x = 192 / (2π + 8)

Now that we have the value of x, we can calculate the lengths of the wire used for the square and the circle. The length of the wire used for the square is x, which is equal to 192 / (2π + 8). The length of the wire used for the circle is 24 - x, which is equal to 24 - 192 / (2π + 8).

So, the solution for part (a) is to use 192 / (2π + 8) units of wire for the square and 24 - 192 / (2π + 8) units of wire for the circle in order to maximize the total area.

Part (b)

To minimize the total area, we follow a similar approach. The area of the square is x^2/16 and the area of the circle is (24 - x)^2 / (4π). We want to minimize (x^2/16) + (24 - x)^2 / (4π).

Again, let's find the derivative of this expression with respect to x, set it equal to 0, and solve for x:

(1/8)x - (24 - x) / (2π) = 0

Expanding and rearranging, we get (2π + 8)x = 192

Dividing both sides by (2π + 8), we have x = 192 / (2π + 8)

As in part (a), the length of the wire used for the square is x, which is equal to 192 / (2π + 8), and the length of the wire used for the circle is 24 - x, which is equal to 24 - 192 / (2π + 8).

Therefore, the solution for part (b) is to use 192 / (2π + 8) units of wire for the square and 24 - 192 / (2π + 8) units of wire for the circle in order to minimize the total area.

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as shown in figure LN = KN

triangle KLN is right angle triangle so using Pythagoras theorem

KL^2 = LN^2 + KN^2

KL^2 = LN^2 + LN^2 = 2LN^2

KL = √(2LN^2)

y = LN√2

now lets find value of LN

now LMN is also right angle triangle so using trigonometry

MN/LN = sin 30

putting value of MN=5 and sin 30 which is 1/2

5/LN = 1/2

LN = 5×2= 10

putting it back in our first equation

y = LN√2

y = 10√2

Answer:

Step-by-step explanation:

Obtuse

Best regards

Answer:

Obtuse triangle.

Step-by-step explanation:

An obtuse angle is an angle that is greater than 90 degrees and fans out. When used in a triangle, it makes all the other angles thin, or acute, and makes a very spread out kind of triangle. This is called an obtuse triangle.

Hope this helps!

Answer: There is exactly 1 million in 1 kilogram

Step-by-step explanation:

Answer:

ello mate

Step-by-step explanation:

Answer:

7 crayons in each pack

Step-by-step explanation:

1. subtract the 3 found crayons from the total (24)

    24-3 = 21

2. divide 21 by 3 packs

   21/3 = 7

Final answer:

Eleni ended up with 24 crayons after buying 3 packs and finding 3 more in her desk. To find the number of crayons per pack, we subtract the 3 found crayons from the total, giving us 21 crayons that came from the packs. Dividing 21 by the 3 packs she bought, we get 7 crayons per pack.

Explanation:

The subject of this question is mathematics, specifically an arithmetic problem that involves addition and division. Eleni bought 3 packs of crayons and found 3 more crayons in her desk, which resulted in her having a total of 24 crayons. To solve for the number of crayons in each pack, we start by subtracting the 3 crayons she found from the total, leaving us with 21 crayons that came from the packs. We then divide this number by the number of packs to find out how many crayons were in each pack.

Here's a step-by-step solution:

Start with the total number of crayons Eleni has after finding the extra ones in her desk: 24 crayons.

Subtract the 3 crayons found in her desk: 24 crayons - 3 crayons = 21 crayons.

Divide the resulting number of crayons by the number of packs she bought: 21 crayons \/ 3 packs = 7 crayons per pack.

Therefore, there were 7 crayons in each pack.

Answer:

$97.38

Step-by-step explanation:

Subtract the finance charge and new purchases from the previous balance.

    102.35 - 1.24 - 15.73 = 85.38

Add the payment/credit

85.38 + 12 = 97.38

Answer:

$107.32

Step-by-step explanation:

New balance = previous balance + finance charge + purchases - payments

Previous balance = $102.35

Finance charge = $1.24

Purchases = $15.73

Payments = $12.00

New balance

Fill in the given information and do the arithmetic.

... New balance = previous balance + finance charge + purchases - payments

... New balance = $102.35 + $1.24 + $15.73 - $12.00

... New balance = $107.32

Answer:

8 miles

Step-by-step explanation:

6 + 10 + 8 = 24

24/3 = 8

Answer:

8 miles

Step-by-step explanation:

because im not d∪mb⇔π⊄⊅⇅

[tex]The \: new \: area \: would \: be \: \frac{1}{4} \: of \: the \: original[/tex]

Answer:

1/4

Step-by-step explanation:

The length of a rectangle with an area of 81 - x² square meters and a width of 9 - x meters is (81 - x²) / (9 - x) .

To find the expression that represents the length of the rectangle, we need to use the formula for the area of a rectangle, which is:

Area = Length × Width

Given that the area of the rectangle is 81 - x² square meters and the width is 9 - x meters, we can set up the equation as:

81 - x² = Length × (9 - x)

To isolate the Length, we divide both sides of the equation by the Width (9 - x):

Length = (81 - x²) / (9 - x)

Therefore, the expression that represents the length of the rectangle is:

Length = (81 - x²) / (9 - x)

Complete Question:
The rectangle below has an area of 81- x² square meters and a width of 9 - x meters. What expression represents the length of the rectangle?

Answer:

B. False. Within stratified​ samples, the number of individuals sampled from each stratum should be proportional to the size of the strata in the population.

Step-by-step explanation:

In a stratified sample, each stratum should be proportional to that category of the population.  This means that each stratum would potentially have a different number of elements in it.

The statement is false. Stratified sampling does not require the number of individuals to be equal within each stratum.

The statement 'When obtaining a stratified​ sample, the number of individuals included within each stratum must be equal' is False. When using stratified sampling, the number of individuals included within each stratum does not have to be equal. In stratified sampling, the population is divided into different groups or strata based on certain characteristics, and then individuals are randomly selected from each stratum. The number of individuals selected from each stratum is often proportional to the size of the stratum in the population, which makes the sample more representative.

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[tex]\bf \textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{cos^2(\theta )-cos^4(\theta )}{tan(\theta )}\implies \cfrac{cos^2(\theta )[1-cos^2(\theta )]}{\frac{sin(\theta )}{cos(\theta )}}\implies \cfrac{cos^2(\theta )[sin^2(\theta )]}{\frac{sin(\theta )}{cos(\theta )}} \\\\\\ \cfrac{cos^2(\theta )[sin^2(\theta )]}{1} \cdot \cfrac{cos(\theta )}{sin(\theta )}\implies cos^3(\theta )sin(\theta )[/tex]

If Amazon gets 5% of each sale they make, find 5% of the $80 sale. You have to convert 5% to a decimal, which is 0.05. → 80 * 0.05 is $4 which means that if they sell something for $80, Amazon will recieve $4.

Answer:

4$

Step-by-step explanation:

Answer:Please, edit and put the full question on here

Step-by-step explanation:

otherwise i connot annswer your question

Answer:

Step-by-step explanation:

How long it takes to reach the ground is a y-dimension thing, and horizontal displacement is an x-dimension thing.  So let's set up a table with the info we have in each dimension:

                           x                             y

V₀                     10.0 m/s               10.0 m/s

Δx                        ?                       -122.5 m

a                       0 m/s/s                -9.8 m/s/s

v                       10.0 m/s                    ?

t                           ?                             ?

That seems like an awful lot of question marks, doesn't it?

The first question asks us for the time, t, it takes for the pathetic and greatly disliked Justin Bieber to hit the ground.  We will use the equation:

Δx = V₀t + 1/2at²

Filling in our values using the y-dimension stuff only:

[tex]-122.5 = 10.0t+\frac{1}{2}(-9.8)t^2[/tex] which simplifies to

[tex]-122.5=10.0t-4.9t^2[/tex]

Hmmm...this is beginning to resemble a parabolic equation you probably already studied in Algebra 2!

We can solve for t by getting everything on one side and setting the equation equal to 0.  We set it equal to 0 since the height on the ground is 0:

[tex]-4.9t^2+10.0t+122.5=0[/tex]

When you factor that for the 2 values of t, you get

t = -4.1 and 6.1

Of course, since time can't EVER be negative, we use a t value of 6.1.  That's how long it takes to hit the ground.  That t value can now be filled into the t values in our table above.  We need that t value for the next part that asks us the horizontal displacement, Δx.  This is x-dimension stuff now.  Using the same equation:

Δx =[tex]10.0(6.1)+\frac{1}{2}(0)(6.1)^2[/tex]

Of course since the acceleration in the x-dimension is always 0, the whole portion of the equation after the equals sign is eliminated, leaving us with

Δx = 10.0(6.1)

Δx = 61 m

Poor Justin, upon his demise, hits the ground.  Therefore, his final velocity is 0, since his body met the ground and stopped dead.

Answer:

[tex]2.225\ kg[/tex] of pears

Step-by-step explanation:

Let

x----> kilograms of apples

y----> kilograms of pears

we know that

[tex]x+y=8.9[/tex] ----> equation A

[tex]x=(3/4)8.9=6.675\ kg[/tex]

Substitute the value of x in the equation A

[tex]6.675+y=8.9[/tex]

[tex]y=8.9-6.675[/tex]

[tex]y=2.225\ kg[/tex]

Answer: 2.225 kg

Step-by-step explanation:

You know that:

- The total weight the farmer sold was 8.9 kilograms.

- 3/4 of this weight is apples, and the rest is pears.

Therefore, to calculate the amount of kilograms of pears   she sold at the farmer's market (which you can call x), you need to apply the following proccedure.

Thefore, you obtain the following result:

[tex]x=8.9kg-(8.9kg*\frac{3}{4})\\x=2.225kg[/tex]

Answer:

An ellipse and a rectangle.

Step-by-step explanation:

If Jamal cuts the right circular cylinder anywhere but its extremities, the resulting shapes on both pieces will be an ellipse.  

If he cuts precisely in a perpendicular way in relation to the ends, he will then form two new right circular cylinders, then the ellipses obtained would be circles.

If Jamal cuts the right circular cylinder lengthwise, going from one end to the other, even if it's not perpendicular to the base, he will obtain a rectangular shape.

A two-dimensional plane section that could result from slicing a right circular cylinder into two congruent pieces is a circle.

When a right circular cylinder is sliced at the center of the vertical height, the surface of either section is a circle.

However, when a right circular cylinder is sliced at the center of the circular surface, the surface of either section is a rectangle.

Hence, the resulting shapes are circles and rectangles

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Answer:

C

Step-by-step explanation:

Use the Heron's formula for the area of the triangle:

[tex]A=\sqrt{p(p-a)(p-b)(p-c)},[/tex]

where a, b, c are lengths of triangle's sides and [tex]p=\dfrac{a+b+c}{2}.[/tex]

Since [tex]a=2,\ b=7,\ c=8,[/tex] then

[tex]p=\dfrac{2+7+8}{2}=8.5.[/tex]

Hence,

[tex]A=\sqrt{8.5(8.5-2)(8.5-7)(8.5-8)}=\sqrt{8.5\cdot 6.5\cdot 1.5\cdot 0.5}=\\ \\=\sqrt{41.4375}\approx 6.4\ un^2.[/tex]

Answer:

Area Δ = 6.4 units² ⇒ the answer is (c)

Step-by-step explanation:

* Use the formula of the area:

∵ Area of the triangle = 1/2 (a)(b) sin(C)

∵ We have the length of the 3 sides

∴ Use cos Rule to find the angle C

∵ cos(C) = (a² + b² - c²)/2ab

∵ a = 2 , b = 7 , c = 8

∴ cos(C) = (2² + 7² - 8²)/2(2)(7) = 4 + 49 - 64/28 = -11/28

∴ m∠C = 113.1°

∴ Area Δ = (1/2)(2)(7)sin(113.1) = 6.4 units²

Answer:

Hence, the total number of people who chose rap as their favorite kind of music is:

                             60 people

Step-by-step explanation:

The percentage of people who like different kind of music are given by:

    Music                   Percent

Rock 'n' Roll               28%

  Rap                          24%

Hip Hop                    20%

   Jazz                        18%

 Other                        10%

Total number of people who responded to survey=250

Hence, the number of people who chose rap as their favorite music is:

24% of 250

i.e. 24%×250

= 0.24×250

=60

        Hence, people who chose rap are:

                   60 people.

Answer:

$7.73

$131,450

$9,500

$9.44

$12.44

$4,590

$107,600

$-1,620

Step-by-step explanation:

Let's take it one at a time. To find the fixed costs per unit, we use the formula.

[tex]FixedCostPerUnit=\dfrac{FixedCosts}{ForecastUnitSales}[/tex]

So our variables are.

Fixed Costs = $85,000

Forecast = 11,000 units

Now we compute.

[tex]FixedCostPerUnit=\dfrac{85,000}{11,000}[/tex]

[tex]FixedCostPerUnit=$7.73[/tex]

Now for the Gross Sales, we simply take the selling price per unit and multiply it to the forecast unit sales.

GrossSales = Selling Price x Forecast Unit Sales

GrossSales = $11.95 x 11,000

GrossSales = $131,450

To compute for the possible net profit, we use the formula:

[tex]NetProfit=(SellingPrice-TotalCostPerUnit)*ForecastUnitSales[/tex]

SellingPrice = $12.45

TotalCostPerUnit = $11.50

ForecastUnitSales = 10,000

NetProfit = (12.45 - 11.50) x 10,000

NetProfit = 0.95 x 10,000

NetProfit = $9,500

[tex]FixedCostPerUnit=\dfrac{FixedCosts}{ForecastUnitSales}[/tex]

FixedCosts = $85,000

ForecastUnitSales = 9,000

[tex]FixedCostPerUnit=\dfrac{85,000}{9,000}[/tex]

FixedCostPerUnit = $9.44

Now that we have our Fixed Cost Per Unit we simply add our Variable Cost to get the Total Cost Per Unit.

TotalCostPerUnit = FixedCostPerUnit + VariableCost

TotalCostPerUnit = $9.44 + $3.00

TotalCostPerUnit = $12.44

Now for the Net Profit.

[tex]NetProfit=(SellingPrice-TotalCostPerUnit)*ForecastUnitSales[/tex]

SellingPrice = $12.95

TotalCostPerUnit = $12.44

ForecastUnitSales = 9,000

NetProfit = (12.95 - 12.44) x 9,000

NetProfit = 0.51 x 9,000

NetProfit = $4,590

Now we're looking for Gross Sales again, so we use:

GrossSales = Selling Price x Forecast Unit Sales

GrossSales = $13.45 x 8,000

GrossSales = $107,600

[tex]NetProfit=(SellingPrice-TotalCostPerUnit)*ForecastUnitSales[/tex]

SellingPrice = $13.45

TotalCostPerUnit = $13.63

ForecastUnitSales = 8,000

NetProfit = (13.45 - 13.63) x 8,000

NetProfit = -0.18 x 9,000

NetProfit = $-1,620

So we can see that we have a profit loss at 8,000 units and a selling price of $13.45

Answer:

NO = 4.5

MO = 3.5

LN = sqrt(44)

Step-by-step explanation:

Since the value of the base of the triangles is 8, and the value of NO is 4.5, the value of MO is MN - NO, which is 8 - 4.5, which comes out to 3.5.

Then, we apply the quadratic formula to triangle MLO to find that the middle line value is sqrt(23.75). Then we use the quadratic formula on traingle OLN to find the LN is sqrt(44).

Answer: 5/9

Step-by-step explanation: Just took the test

Answer:

P(−2≤X≤1) = 5/9.

Step-by-step explanation:

Given:

P(-2≤X≤1) and he random variable X is the number on the red cube minus the number on the blue cube

x = -2. -1. 0 and 1

Let's take first number as in the red cube and the second number is in blue cube.

We get x = -2 for the following outcomes

(1, 3), (2, 4), (3, 5), and (4, 6).  which is 4 favorable outcomes.

We get x = -1,  for the following outcomes:

(1, 2), (2, 3), (3, 4), (4, 5), and (5, 6).  which is 5 favorable outcomes

We get x = 0, when (1, 1) (2, 2)(3, 3)(4, 4) (5, 5),(6, 6) which is 6

We get x = 1, when (2, 1), (3, 2) (4, 3) (5, 4) (6, 5), which is 5.

The number of favorable outcomes=  4 + 5 + 6 + 5 = 20

The number of possible outcomes = 36 (when we toss the two dices, the possible number of outcomes is 36)

The required probability  P(−2≤X≤1) = The total number of favorable outcomes / the total number of possible outcomes

= 20/36

P(−2≤X≤1) = 5/9.

Hope this will helpful.

Thank you.

no a hermaphrodite can not have a baby with themselves that is not possible

Hermaphroditism varies across different species, So, some organisms may have evolved the ability to self-fertilize under certain conditions, while others may not have that capability at all.

A "hermaphrodite" is an organism that has both male and female reproductive organs. While hermaphroditic organisms have the potential to produce both sperm and eggs, self-fertilization, or the ability to fertilize their own eggs with their own sperm, is not a common occurrence in nature.

In most cases, hermaphroditic organisms still require a mate to reproduce. They can engage in a process called reciprocal fertilization, where two hermaphroditic individuals exchange gametes (sperm and eggs) to fertilize each other's eggs. This allows for genetic diversity and avoids the limitations associated with self-fertilization.

However, it's important to note that hermaphroditism varies across different species, and the reproductive mechanisms can be complex. Some hermaphroditic organisms may have evolved the ability to self-fertilize under certain conditions, while others may not have that capability at all.

In summary, while hermaphrodites have both male and female reproductive organs, self-fertilization is not a universal characteristic among them.

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Answer:

a) rational

b) rational

c)exponential

d) power function

e) polynomial function of degree 6

f) trig function

Step-by-step explanation:

Functions can be classified by the operations they contain. Remember the following functions:

Below is listed each function. The bolded choice is the correct type of function:

(a) y = x − 3 / x + 3 root function logarithmic function power function trigonometric function rational function exponential function polynomial function of degree 3

(b) y = x + x2 / x − 2 power function rational function algebraic function logarithmic function polynomial function of degree 2 root function exponential function trigonometric function

(c) y = 5^x logarithmic function root function trigonometric function exponential function polynomial function of degree 5 power function

(d) y = x^5 trigonometric function power function exponential function root function logarithmic function

(e) y = 7t^6 + t^4 − π logarithmic function rational function exponential function trigonometric function power function algebraic function root function polynomial function of degree 6

(f) y = cos(θ) + sin(θ) logarithmic function exponential function root function algebraic function rational function power function polynomial function of degree 6 trigonometric function

The functions (a) y = x − 3 / x + 3 is a rational function, (b) y = x + x2 / x − 2 is a rational function, (c) y = 5ˣ is an exponential function, (d) y = x⁵  is a power function, (e) y = 7t⁶ + t⁴ − π is a polynomial function, (f) y = cos(θ) + sin(θ) is a trigonometric 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 co-domain, respectively.

(a) y = x − 3 / x + 3 is a rational function, as the terms are rational.

(b) y = x + x2 / x − 2 is a rational function, as the terms are rational.

(c) y = 5ˣ is an exponential function as the x is in the power.

(d) y = x⁵  is a power function, as 5 is the power.

(e) y = 7t⁶ + t⁴ − π is a polynomial function of degree 6 as the highest degree is 6.

(f) y = cos(θ) + sin(θ) is a trigonometric function, as the cos and sin are trigonometric functions.

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Answer: 32

Step-by-step explanation:

3,584 / 112 = 32

Simple interest is when interest is paid once on money.  Compound interest is paid periodically.  Compound interest earns money more quickly because you are actually earning interest on interest.  For example, if interest is compounded monthly you will received interest on your principal in January, and then in February you will receive interest on the principal and on the interest that was earned in January.

Answer:

Even

Step-by-step explanation:

The function Y=-6x^6-5x^2- 2 is a polynomial. A polynomial function is a function where a whole number exponent greater than 1 is on the variable. All polynomial functions have a degree known as the highest exponent. This degree also determines if the functions is even, odd or neither.

The highest exponent on the polynomial is 6 which is an even number. This polynomial is even.

Answer:even

Step-by-step explanation:

got it right on edg. quiz

Answer:

I need to see the diagram

Step-by-step explanation: