. Write an equation of the line that passes through
(3, 5) and is perpendicular to the graph of y = –3x +7. Write your final equation in slope-intercept form.

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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Answer:

Step-by-step explanation:

Look at the pictute.

Angles 45° and a° are Alternate Interior Angles.

Alternate Interior Angles are congruent. Therefore the measures of Alternate Interior Angles are the same.

Answer:

c 62

Step-by-step explanation:

i did the usa test prep :)

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

The tangent line is horizontal whenever [tex]\dfrac{\mathrm dy}{\mathrm d\theta}=0[/tex].

[tex]\dfrac{\mathrm dy}{\mathrm d\theta}=2\cos2\theta=0\implies2\theta=\dfrac{(2n+1)\pi}2\implies\theta=\dfrac{(2n+1)\pi}4[/tex]

where [tex]n[/tex] is any integer.

I'm guessing you're only interested in one complete loop of the lemniscate. In that case, we're restricted to [tex]0\le\theta\le2\pi[/tex]. Then we get 4 points of interest for [tex]n=0,1,2,3[/tex]:

[tex]\theta=\dfrac\pi4,\dfrac{3\pi}4,\dfrac{5\pi}4,\dfrac{7\pi}4[/tex]

Answer:

I need to see the diagram

Step-by-step explanation:

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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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:

  the picture is correct

Step-by-step explanation:

Each square on the original shape becomes 2 squares on the enlarged shape, just as you have drawn.

Enlarging shapes using a scale factor of 1:2 involves multiplying each side length by 2.

To enlarge a shape using a scale factor of 1:2, each side length of the shape needs to be multiplied by 2. For example, if a square has sides of length 4 cm, when enlarged with a scale factor of 1:2, each side will become 8 cm. This is because multiplying 4 by 2 gives us 8.

Similarly, if a triangle has side lengths of 6 cm, 8 cm, and 10 cm, when enlarged with a scale factor of 1:2, the new side lengths will be 12 cm, 16 cm, and 20 cm. Each side length is multiplied by 2

Remember, the scale factor tells you how many times larger the new shape will be compared to the original shape. In this case, every length of the shape is being doubled.

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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

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:

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

12

EXPLANATION

Two expressions for the angles in terms of x are given,

The first one is (10x-20)°

The second one is (6x+8)°

The two angles are angles on a straight line.

The sum of angles on a straight line is 180°.

This implies that,

[tex](10x - 20) \degree + (6x + 8) \degree = 180 \degree[/tex]

Group similar terms,

[tex]10x + 6x= 180 + 20 - 8[/tex]

Combine like terms:

[tex]16x=192[/tex]

[tex]x = \frac{192}{16} = 12[/tex]

Therefore the value of x is 12

The value of x is 12°

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Given

The angles are (10x - 20)° and (6x + 8)°.

The value of x.

The angles are (10x - 20)° and (6x + 8)°.

We know that the sum of the angles of the line is 180°. then

(10x - 20)° + (6x + 8)° = 180°

Then simplify the equation, we have

10x - 20 + 6x + 8 = 180

              16x - 12 = 180

                     16x = 180 + 12

                     16x = 192

                         x = 12°

Thus, the value of x is 12°.

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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.

During PUBERTY, reproductive organs start to become mature and secondary growth occurs in males and females due to the release of hormones.

Answer= A

During this period, both male and females experience rapid changes.

In males:

• Testes produce sperm and sex hormones (testosterone)

• Height increases rapidly

• Shoulders widen, body becomes more muscular and penis enlarges

• Facial hair grows on chest, in armpits and in pubic regions

• Voice deepens as voice box enlarges

In females:

• Ovaries release mature eggs and produce sex hormones (oestrogen and progesterone)

• Height increases rapidly

• Breasts grow larger, and hips become wider and rounder

• Hair grows in the armpits and pubic regions

• Menstruation starts

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

[tex]d= \frac{180° - 50°}{2} = 65°[/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:

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

Step-by-step explanation:

otherwise i connot annswer your question

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

Answer:

1/4

Step-by-step explanation:

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⊄⊅⇅

Answer: 32

Step-by-step explanation:

3,584 / 112 = 32

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.

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:

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

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.

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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