Identify the area of the rhombus. The answer with the red arrow is incorrect!

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:

Is it grouping and adding?

(This is probably wrong, sorry)

Answer:

We can multiply fractions using either a model or a paper and pencil

hopes this helps have a wonderful day

Answer:

C. [tex]n=12[/tex]

Step-by-step explanation:

We have been given an equation [tex]\frac{1}{6}n=2[/tex]. We are asked to solve our given equation.

To solve for n, we will multiply both sides of our equation by 6 as:

[tex]6\times \frac{1}{6}n=6\times2[/tex]

[tex]n=12[/tex]

Therefore, the solution for our given equation is [tex]n=12[/tex] and option C is the correct choice.

Answer:

C, n = 12

Step-by-step explanation:

I did the test and got it right, and if you doubt my memory I literally just did it and re=checked to make sure it was right. Good luck FLVS student

(Not to mention the other guy with his answer explains why)

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

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:

about [tex]49.1\ cm^{2}[/tex]

Step-by-step explanation:

The area of the composite figure is approximate to the area of the rectangle plus the area of the semicircle at the top of the rectangle plus the semicircle at the right of the rectangle

Find the area of the rectangle

[tex]A=(3*1.5)(4*1.5)=27\ cm^{2}[/tex]

Find the area of the semicircle at the top of the rectangle

[tex]A=\frac{1}{2}\pi (2*1.5)^{2}=4.5 \pi\ cm^{2}[/tex]

Find the area of the semicircle at the right of the rectangle

[tex]A=\frac{1}{2}\pi (1.5*1.5)^{2}=2.53 \pi\ cm^{2}[/tex]

The area of the composite figure is

[tex]27\ cm^{2}+4.5 \pi\ cm^{2}+2.53 \pi\ cm^{2}=(27+7.03 \pi)\ cm^{2}[/tex]

use [tex]\pi=3.14[/tex]

[tex](27+7.03(3.14))=49.1\ cm^{2}[/tex]

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

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:

The point is (3.5 , 7.25)

Step-by-step explanation:

∵ A = (2 , 8) and B = (8 , 5)

∵ Let point P divides AB into a ratio 1:3

∵ [tex]x=\frac{m_{2}x_{1}+m_{1}x_{2}}{m_{1}+m_{2}}[/tex]

∵ [tex]y=\frac{m_{2}y_{1}+m_{1}y_{2}}{m_{1}+m_{2}}[/tex]

∴ x-coordinate of P = (2)(3) + (8)(1)/3 + 1 = (6 + 8)/4 = 3.5

∴ y-coordinate of P = (8)(3) + (5)(1)/1 + 3 = (24 + 5)/4 = 7.25

∴ P = (3.5 , 7.25)

The point that partitions the directed line segment AB into a 1:3 ratio is P(3.5, 7.25), calculated using the section formula.

To find the point that partitions the directed line segment AB into a 1:3 ratio, we use the section formula. The section formula for a point P(x, y) that divides the line segment connecting A(2, 8) to B(8, 5) in the ratio m:n is given by:

x = ([tex]m \times x2 + n \times x1[/tex]) / (m + n)

y = ([tex]m \times y2 + n \times y1[/tex]) / (m + n)

Given the ratio 1:3, the coordinates for point P can be calculated as follows:

x = ([tex]1 \times 8 + 3 \times 2[/tex]) / (1 + 3) = (8 + 6) / 4 = 14 / 4 = 3.5

y = ([tex]1 \times 5 + 3 \times 8[/tex]) / (1 + 3) = (5 + 24) / 4 = 29 / 4 = 7.25

Therefore, the point that divides the line segment AB in a 1:3 ratio is P(3.5, 7.25).

Answer:

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

Step-by-step explanation:

1) 9,-9

2) 14

3) 0

4)135

5)-1408, 1408

the absolute value of 9 is 9. the absolute value of -14 is 14. the absolute value of 0 is 0. the absolute value of -135 is 135. the absolute value of 1,408 is 1,408.

Answer:

B

Step-by-step explanation:

We can figure out the initial value and base of an exponential function if the function is written in the form  [tex]y=a*b^x[/tex]  where

a is the initial value, and

b is the base

Note: a ≠ 0 and b ≠ 1

Our equation given can be written in this form by writing it like  [tex]y=5^x\\y=1*5^x[/tex]

Thus, this is an exponential function. The initial value is 1 and the base is 5.

The correct answer is  B

Answer:

b

Step-by-step explanation:

And irrational number is a number than cannot be written as a simple fraction.

Two good examples of irrational numbers are PI and the square root of 2. These numbers have never-ending decimals, and their decimals never repeat.

Answer:

An irrational number cannot be expressed as a ratio between two numbers and it cannot be written as a simple fraction because there is not a finite number of numbers when written as a decimal. Instead, the numbers in the decimal would go on forever, without repeating.

Step-by-step explanation:

Answer:

d. 6.3

Step-by-step explanation:

Given [tex]b=3,c=9[/tex] and [tex]A=21\degree[/tex], we can use the cosine rule to find [tex]a[/tex].

The cosine rule is given by;

[tex]a^2=b^2+c^2-2bc\cos(A)[/tex]

We substitute the values to obtain;

[tex]a^2=3^2+9^2-2(3)(9)\cos(21\degree)[/tex]

[tex]a^2=9+81-54\cos(21\degree)[/tex]

[tex]a^2=90-50.4133[/tex]

[tex]a^2=39.5867[/tex]

[tex]a=\sqrt{39.5867}[/tex]

[tex]a=6.2918[/tex]

To the nearest tenth, [tex]a=6.3[/tex]

Answer: third option

Step-by-step explanation:

By definition, for the function [tex]y=b^x[/tex] if 0<b<1 then the function decreases from left to right

Therefore, it cannot be the options 1 or the option 2.

As the function given in  the third option of problem has a negative coefficient (which is -2) and b=0.3 (0<b<1)

[tex]y=-2*0.3^x[/tex]

Then, each ouput value wil be negative.

Therefore, you can conclude that the  function [tex]y=-2*0.3^x[/tex] decreases and going downwards from left to right.

Answer:

The answer is B.

Step-by-step explanation:

got it right on edge.

[tex]d= \frac{180° - 50°}{2} = 65°[/tex]

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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There's literally unlimited answers but here are some simple ones.

5 x 11 = 55

55 = 55

55 > 54

1 < 55

3 x 2 < 55

To compare numbers to 55, choose numbers less than, greater than, or equal to 55 and use the appropriate comparison operator. Examples include 50 < 55 (less than), 55 = 55 (equal to), and 60 > 55 (greater than).

To compare numbers with 55 using the comparison operators >, <, and =, we must choose numbers that are either greater than, less than, or equal to 55. For example:

When you are comparing numbers, always remember that a number is greater than another if it represents a larger quantity, and it is less than another if it represents a smaller quantity. The equal sign is used when the quantities are identical.

Answer:

option b

-3/2

Step-by-step explanation:

Given in the question an expression

ln[tex]\frac{1}{\sqrt{e^3} }[/tex]

First apply logarithm divide rule

[tex]ln\frac{1}{\sqrt{e^3} }[/tex] = ln1 - ln√e³

ln(1) = 0

so

ln1 - ln√e³ = 0 - ln√e³

-ln√e³ = -ln(e³)^1/2

Apply logarithm power rule

- ln(e³)^1/2 = -lne[tex]^\frac{3}{2}[/tex]

-3/2ln(e)

As we know that

ln(e) = 1

so,

-3/2(1)

-3/2

Answer:

b. [tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

The given logarithm is

[tex]\ln(\frac{1}{\sqrt{e^3} } )[/tex]

Use the quotient rule of logarithm; [tex]\ln(\frac{a}{b})=\ln(a)-\ln(b)[/tex]

[tex]=\ln(1)-\ln(\sqrt{e^3})[/tex]

[tex]=\ln(1)-\ln(e^{\frac{3}{2}})[/tex]

Use the power rule; [tex]\ln(a^n)=n\ln(a)[/tex]

[tex]=\ln(1)-\frac{3}{2}\ln(e)[/tex]

Recall that logarithm of 1 is zero and also logarithm of the base is 1.

[tex]=0-\frac{3}{2}(1)[/tex]

[tex]=-\frac{3}{2}[/tex]

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 :)

the correct answer choice is B.

The equation of the graph for the function f(x) = 7x after being shifted 6 units to the right is g(x) = 7(x - 6), which is option B.

When a graph of the form f(x) = mx is shifted horizontally, this is represented in the equation by manipulating the x variable within the function. A shift to the right by 6 units results in the input value being decreased by 6 before it is multiplied by the slope (in this case, 7). Therefore, the new equation reflecting a horizontal shift to the right is g(x) = 7(x - 6), which corresponds to option B.

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Answer:

d. X^2 - 49

Step-by-step explanation:

I will assume that the question marks are minus signs.

Let's remember what does "difference of two squares" means:

The difference of two squares is a number multiplied by itself subtracted from another number multiplied by itself (the number multiplied by itself is called squared number).

In our options, the first number is always a squared number because it's X^2 = X * X.

We just have to analyze the second number.  

First, let's notice that a. and c. can't be correct because we have a sum instead of a subtract.

We have left 14 and 49 to analyze:

14 = 7*2 (it's not a squared number)

49 = 7*7 (it's a squared number)

The answer is X*X - 7*7 = X^2 - 49

Answer:

You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. The x coordinate will always be 0

Step-by-step explanation:

by seeing at which a point cuts y axis

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:

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:

B.

Step-by-step explanation:

63/4= 15.75

The rate of change of pay with respect to hours is $15.75 per hour.

The rate of the change by calculated by dividing the total pay by the corresponding number of hours.

The amount of money he earns is $63 in 4 hours.

Rate of change of pay = $110.25 - $63/7 - 4 per hour

= $15.75 per hour

This is consistent with the other values in the given table.

Rate of change of pay = $141.75 - $110.25/9 - 7 per hour

= $15.75 per hour

Therefore, we have found the rate of change of pay, y, with respect to hours, x to be $15.75 per hour. The correct answer is option B.

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