A rectangle is placed around a semicircle as shown below. The length of the rectangle is 8ft Find the area of the shaded region.
Use the value 3.14 for PI , and do not round your answer. Be sure to include the correct unit in your answer.

it wont let me paste the picture but please help

Answer:

1: 8

2: 5^4

3: 6^2 x 6^3

Step-by-step explanation:

(2^2x2)^3/(2^4x2^2)

(4x2)^3/(16x4)

8^3/64

512/64

8

2)

5^-2x5^5x5^1

5^-2+5+1

5^4

3)

6^2 x 6^3

Hopes this helps please mark brainliest

This can be solved using proportions. Aiden needs to make 3 trips to walk 9 kilometers.

What is a proportion?

Two numerical sequences, generally experimental data, are said to be proportional or directly proportional if their corresponding elements have a constant ratio, which is known as the coefficient of proportionality or proportionality constant. Two sequences are inversely proportionate if the product of their respective elements is constant, also known as the coefficient of proportionality. This notion is frequently extended to related changing numbers, which are typically referred to as variables. For instance, if an item moves at a constant speed, the distance traveled is exactly proportional to the time spent traveling, with the speed serving as the proportionality constant.

For 2 trips, Aiden walks 6 kilometers

So, for 9 kilometers to walk he need 'x' trips (let)

Then they are in proportion, i.e.,

2/6 = x/9

or, x = (2/6)9

or, x = 3

Hence, Aiden needs 3 trips to walk a total of 9 kilometers.

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Answer: Sir would you mind telling me what chart your using

Step-by-step explanation:

Answer:

0.91

Step-by-step explanation:

1 - .09 = 0.91

The zero of the function shown in this table is -2, which means that the presented function has an x-intercept.

The x-intercept is defined as an intercept that is located at the x-axis of the plane, which is the location or coordinates from where the line crosses.

The table is given in the question,

As per the given table, the value of x is -2 then the value of y = 0. This represents the x-intercept of the function. The zero of the function represented in this table is -2 which means x-intercept in the given function.

Thus, the zero of the function shown in this table is -2, which means that the presented function has an x-intercept.

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The greatest common factor for 36m(r+t) and 9p(r+t)6 is 18(r+t).

According to the question,

We have the following two expressions:

36m(r+t) and 9p(r+t)6

Now, we will first solve the second expression:

54p(r+t)

Now, the greatest common factor means the greatest number and variables which can divide both the terms completely.

So, the common variables in both the terms are (r+t).

In 36 and 54, the greatest common factor is 18 because their respective product of factors are 2*2*3*3 and 3*3*3*2.

Now, the common factors in their product are 2*3*3. So, the greatest common factor or highest common factor is 18.

Hence, the greatest common factor for 36m(r+t) and 9p(r+t)6 is 18(r+t).

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The solutions are as follows:

a)Opposite of |-12| =  Opposite of 12

b)Absolute value of -6 >  Opposite of |-10|

c)Absolute value of 51 <  Absolute value of -87

d)Opposite of -92 >  Absolute value of 51

a) Opposite of |-12| = -12

   Opposite of 12 = -12

   So, Opposite of |-12| = Opposite of 12

b) Absolute value of -6 = 6

   Opposite of |-10| = -10

   So, Absolute value of -6 > Opposite of |-10|

c) Absolute value of 51 = 51

   Absolute value of -87 = 87

   So, Absolute value of 51 <  Absolute value of -87

d) Opposite of -92 = 92

    Absolute value of 51 = 51

    So, Opposite of -92 >  Absolute value of 51

Therefore, the solutions are as follows:

a)Opposite of |-12| =  Opposite of 12

b)Absolute value of -6 >  Opposite of |-10|

c)Absolute value of 51 <  Absolute value of -87

d)Opposite of -92 >  Absolute value of 51

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It is necessary to collimate the light source before using the prisim to  disperse the light so that the light rays entering the prisim are parallel.

What is collimate?

Collimator is a tool for converting a point source's divergent radiation into a parallel beam. To perform specific measurements in spectroscopy, geometrical optics, and physical optics, the light must be collimated.

An optical collimator is made up of a tube with a convex lens at one end and a variable aperture at the other end that is located in the lens' focal plane. To examine the image without parallax, radiation entering the aperture exits the collimator as a parallel beam.

Therefore collimation is needed for the light rays entering the prism to be parallel.

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Two triangles may be similar sometimes (known as similar triangles) and two squares and two rectangles are always similar.

According to the question,

We have the following information:

Two triangles, two squares and two rectangles

We know that when we say two figures are similar then it means that angles of the given two figures are congruent or their corresponding sides are equal.

Now, in a triangle, it is not sure which angle or side will be there.

So, they can not always be similar but can be similar in some cases.

In a rectangle and square, four angles are right angles.

So, they are always similar.

Hence, two triangles may be similar sometimes and two squares and two rectangles are always similar.

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Answer:

The pencils at store A cost more.

Step-by-step explanation:

First find the price of one pencil at store A

y=0.55(1)=

y=0.55

One pencil at store A costs 0.55

Now find the price of one pencil at store B

3.06/6=

0.51

One pencil at store B costs 0.51

0.55>0.51 so The pencils at store A cost more.

Hope this helps!

Every hour, the medicine concentration decays by a factor of 0.09.

An exponential function simply refers to a mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function can be modeled or represented by using this equation:

f(x) = abˣ

Where:

At the initial time (t), the medicine concentration is given by this exponential function:

C(t) = 61 × (0.96)^t

Note: One (1) hour is equal to sixty (60) minutes.

After an hour, the medicine concentration is given by this exponential function:

C(t + 60) = 61 × (0.96)^{t + 60}

Therefore, the rate of change every hour in the medicine concentration would be calculated as follows:

Decay factor = [C(t + 60)/C(t)]

Decay factor = [61 × (0.96)^{t + 60}]/61 × (0.96)^t

Decay factor = (0.96)^t

Decay factor = (0.96)^60

Decay factor = 0.0864 ≈ 0.09.

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Answer: 0.001

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

First distribute the negative sign to the negative four then find the absolute value of 6

-(-4)-|-6| = 4-6

then subtract 4 from 6 and you get -2.

The required Mean for movies A and C is $655, Mean for movies B, and C is $645, and Mean for movies C, and D is $515.

The top-grossing movies last year were Movie A with $700 million, Movie B with $ 680 million, Movie C with $ 610 million, and Movie D with $ 420 million.

Mean of A, C = (700 + 610)/2 = 1310/2 = 655

Mean of B, C = (680 + 610)/2 = 1290 = 645

Mean of C, D = (610 + 420)/2 = 1030 = 515

Thus, the required Mean for movies A and C is $655, Mean for movies B, and C is $645, and Mean for movies C, and D is $515.

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Answer:

405.50

Step-by-step explanation:

hope it helped :)

Answer:

Step-by-step explanation:

405.5

Answer:

1/6

Step-by-step explanation:

I just did the problem myself! Photo evidence included!

Answer:

You get a negative answer

Step-by-step explanation:

that is literally it! you get a negative answer. hope this helps

The dimensions which will give Margo the largest area is 6 m by 6 m

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, Margo has 24 meters of wood to build a fence around her garden. She wants to create the largest area possible

Let the length  be L and the width be W

So the perimeter equation is

2L + 2W = 24

2(L+W) = 24

L+ W= 12

L= 12-W

To find the largest area

area = L×W

area = (12-W) ×W

area= 12W- W²

A= -W²+ 12W

The vertex of the parabola is the point (h, k) where h=

= 6

to find the k part

k= (-6)² + 12(6)= 108 m²

The largest possible area is  108 m²

putting the value of W  in

L= 12-W

L= 12-6 = 6 m

Hence, the length and width is same, 6 m by 6 m

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The unit rate of change (slope) from 1996 to 2016 is -.025

What is Ratio?

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all. Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula. A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, m = y/x, where m is the slope, can be used to express the change in the y coordinate with regard to the change in the x coordinate.

Take notice that tan = y/x.

The given problem is about the decrease of two variables, which represent years and represent video rental.

The ratio here refers to the slope of the linear decreasing behavior, where pairs are (1996,9) and (2016, 4).

The formula for the slope is

[tex]&m=\frac{y_2-y_1}{x_2-x_1}[/tex]

So, In the given question, we have:

10 video rental locations in 1996;

So,  Assuming a constant decrease in the number of stores:

The slope or the unit rate of change from 1996 to 2016 is:

[tex]\begin{aligned}&m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-9}{2016-1996}=\frac{-5}{20}=-\frac{1}{4} \\&m=-0.25\end{aligned}[/tex]

So, The Value of the Slope is -0.25

This means that the linear relation decreases, with a constant ratio of 0.25, that is, video rental decreases one per 4-years periods.

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Answer:

Domain: [-3,3)

Range: [-4,5]

Step-by-step explanation:

Domain is all the x's on the graph (or if you have an equation, all the x's allowed to be used in the equation)

Here the graph exists from -3 to 3, but not including 3. The square brackets means "including" and regular parenthesis means "not including".

The range is all the y-values on the graph (or if you have an equation, its all the y-values that can be produced by the equation) This graph goes from -4 to 5, I wrote it to include -4 and 5. If you think that curve is floating over the -4 and purposefully and absolutely missing it then the range should be (-4,5] But it looks like it touches -4 in the image.

The correct property is used to prove the two expressions are equivalent is;

''Commutative property''

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Lara writes the expression 1.5x + 2.75y + 3.

And, Maria writes the expression 3 + 1.5x + 2.75y.

Now,

Since, The commutative property states that;

a + b = b + a

So, Clearly, Here the commutative property used to prove the two expressions are equivalent, as;

⇒ 1.5x + 2.75y + 3 = 3 + 1.5x + 2.75y.

Thu, The correct property is used to prove the two expressions are equivalent is;

''Commutative property''

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The cost per pint =4

Pints do you get per dollar = 1/4

Pints can you afford for $20.00 = 5

8 pints of raspberries cost = 32

Unit rates are defined as rates that are expressed as a number of one, such as 3 feet per second or 4 miles per hour.

According to the given statement: For $12, you can pick three pints of raspberries at a farm.

then, according to the unit rate definition,

cost per unit = 12/3 = 4

Unit rate per dollar =3/12

= 1/4

= 0.25 pint

0.25 pints of raspberries get per dollar.

Pints afford for $20

= 20/4 =5

8 pints of raspberries cost

= 4 x 8

= 32

Therefore

The cost per pint =4

Pints do you get per dollar = 1/4

pints can you afford for $20.00 = 5

8 pints of raspberries cost = 32

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The probability illustrates that the percentage of students at the college have a gpa between 2.5 and 3.5 is 68%.

From the information, at the college gpas are normally distributed with a meanof 3 and a standard deviation of 0.5.

The requirement to solve the probability between z-values is to know that the probability between the z-values is the difference between the probability of the greatest z-value and the lowest z-value.

This will be illustrated as:

P(2.5 < x < 3.5)

Looking at the distribution table, the value is 68%.

Therefore, the percentage is 68%.

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The number of Frophy needs is 15.

What is ratio?

A ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent.

Given,

There are 10 rews to 3 frophy.

The ratio for one rew  = 3/10 frophy

The value for 50 rew = 3(50)/10

= 15

There are 15 frophy for 50 rews.

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Answer:

infinite solutions

Step-by-step explanation:

both sides are identical

Answer:

[tex] \frac{3}{5} - \frac{3}{10} \\ = \frac{3 \times 2}{5 \times 2} - \frac{3 \times 1}{10 \times 1} \\ = \frac{6}{10} - \frac{3}{10} \\ = \frac{6 - 3}{10} \\ = \frac{3}{10} [/tex]

After 100 days there will be 33750 bees in the bee hive .

in the question ,

it is given that

number of bees in the bee hive when discovered = 20 bees

number of bees after 5 days = 29 bees

also given that the population of the bees increases exponentially ,

the exponential growth is denoted by the function ,

A = A₀(eᵃˣ)

where A is the population after x days ,

A₀ is the initial population , x is the days and a is the constant of proportionality .

Substituting the values in the exponential growth formula ,

we get

29 = 20 ([tex]e^{a\times5}[/tex])

29/20 = [tex]e^{a\times5}[/tex]

taking ln both the side

ln(29/20) = ln( [tex]e^{a\times5}[/tex])

5a = ln(29/20)

a = 0.07431

to find the population after 100 days , we substitute x = 100,

we get

A = 20*  [tex]e^{0.07431\times100}[/tex]

A = 33749.88

A ≈ 33750

Therefore, the number of bees in the bee hive after 100 days is 33750 .

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The answer to this composite function is 205.

What is a composite function?

Function composition is an operation that takes two functions, f and g, and creates a function, h, that is equal to g and f, such that h(x) = g.

Main Body:

f(x)= 3x-1 , g(x)= 4[tex]x^{2} \\[/tex]+9

now we have to insert the value of f(x) in place of x in g(x)

So (g o f) = [tex]4(3x-1)^{2}+9\\[/tex]

 Value of (g o f)(-2)= [tex]4(3(-2)-1)^{2} +9[/tex]

                              =4(-7)²+9

                              = 205

Hence the value of (g o f) (-2)= 205.

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