The following three shapes are based only on squares, semicircles, and quarter circles.
Find the perimeter and the area of each shaded part. Give your answer as a completely
simplified exact value in terms of pie (no approximations).

Answer:

the answer is -11

Step-by-step explanation:

yeah the answer is - 11

Hey there!☺

\(Answer:\boxed{\frac{4}{33}}\)

\(Explanation:\)

\(\frac{1}{6}/1\frac{3}{8}\)

Let's divide both fractions.

\(\frac{1}{6}1/\frac{3}{8}=\frac{4}{33}\)

\(\frac{4}{33}\) is our final answer.

Hope this helps!

4.208 + 2.482= 6.69 so rounding that would be 7                                      

4.208 + 2.482 = 6.69

When we round it to the nearest, it becomes 7.

Hope it helps you..

Answer:

17√3

Step-by-step explanation:

In a 45-45-90 triangle, the hypotenuse is √3 times larger than the legs.

17*√3 = 17√3

The main difference between the reciprocal and inverse of a function is their definition and properties. The reciprocal of a function f(x) is defined as 1/f(x), while the inverse of a function f(x) is a function f^(-1)(x) such that \(f(f^(-1)(x))=x and f^(-1)(f(x))=x\) for all x in their respective domains.

The domains of sine, cosine, and tangent functions need to be restricted to define their inverse functions because they are not one-to-one functions. In order to have an inverse, a function must be both one-to-one (each output has only one input) and onto (each output value is mapped by at least one input value).

For example:
- sine: restricted domain to [-π/2, π/2] to define its inverse, arcsin (sin^(-1))
- cosine: restricted domain to [0, π] to define its inverse, arccos (cos^(-1))
- tangent: restricted domain to (-π/2, π/2) to define its inverse, arctan (tan^(-1))

These restrictions ensure that the functions become one-to-one and onto, making it possible to define their inverses uniquely.

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Root x = 2 is an extraneous solution for radical equation √(4 · x - 7) - √(2 · x) = 1, whose roots are 2 and 8, respectively.

In this problem we find the definition of a radical equation, whose roots must be found by combining algebra properties and power properties. A root is an extraneous solution if the result lead to an absurdity. (i.e. 1 = 0).

First, write the complete expression:

√(4 · x - 7) - √(2 · x) = 1

Second, apply algebraic substitution formula u = 2 · x to simplify the model:

√(2 · u - 7) - √u = 1

Third, use algebra properties to clear square roots:

√(2 · u - 7) = 1 + √u

Fourth, square both sides of the expression:

2 · u - 7 = (1 + √u)²

2 · u - 7 = 1 + 2 · √u + u

u - 7 = 1 + 2 · √u

u - 2 · √u - 8 = 0

Fifth, use algebraic substitution k = √u and solve the quadratic-like equation by factorization:

k² - 2 · k - 8 = 0

(k - 4) · (k + 2) = 0

k₁ = 4 or k₂ = - 2

Sixth, find the values of x by reversing algebraic substitutions:

√u₁ = 4 or √u₂ = - 2

u₁ = 4² or u₂ = (- 2)²

2 · x₁ = 4² or 2 · x₂ = (- 2)²

x₁ = 8 or x₂ = 2

Seventh, look for any extraneous solution:

x₁ = 8

√(4 · 8 - 7) - √(2 · 8) = 1

√25 - √16 = 1

5 - 4 = 1

1 = 1

x₂ = 2

√(4 · 2 - 7) - √(2 · 2) = 1

√1 - √4 = 1

1 - 2 = 1

- 1 = 1 (CRASH!)

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The average charge on arginine at pH 9.20 is +1.

Arginine is an amino acid that contains multiple ionizable groups, including the amino group (-NH2), the carboxyl group (-COOH), and the guanidino group (-NH-C(NH2)2). The average charge on arginine depends on the pKa values of these groups and the pH of the solution.

At pH 9.20, which is alkaline or basic, the carboxyl group (-COOH) and the guanidino group (-NH-C(NH2)2) will be deprotonated and carry a negative charge, while the amino group (-NH2) will be protonated and carry a positive charge.

The pKa values of the ionizable groups in arginine are approximately as follows:

Carboxyl group: pKa ~ 2.17

Amino group: pKa ~ 9.00

Guanidino group: pKa ~ 12.48

To determine the average charge on arginine at pH 9.20, we need to consider the ionization states of these groups. Since the pH is greater than the pKa of the carboxyl group and the guanidino group, these groups will be deprotonated and carry a negative charge. The amino group will be protonated and carry a positive charge.

Therefore, at pH 9.20, the average charge on arginine is +1. This means that, on average, arginine will have a net positive charge of +1 under these conditions.

At pH 9.20, the average charge on arginine is +1. This indicates that, on average, arginine will carry a net positive charge of +1 in a solution with this pH.

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Answer:

The top on the left

The Area of Trapezium is 50, 267 mm².

We have,

base 1 = 224 mm

base 2 = 77 mm

Height = 334 mm

Now, Area of Trapezium

= 1/2 (Sum of parallel side) x height

= 1/2 (224 + 77) x 334

= 1/2 x 301 x 334

= 50, 267 mm²

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To solve the differential equation y" + y = csc(x) using variation of parameters, we first need to find a particular solution.

Since the non-homogeneous term is csc(x), we can try a particular solution of the form yp = u(x) csc(x), where u(x) is a function to be determined.

Substituting yp into the differential equation:

u''(x)csc(x) + u(x)csc(x) = csc(x)

To find u(x), we can multiply both sides by csc(x) and integrate with respect to x:

∫u''(x)csc(x) dx + ∫u(x)csc^2(x) dx = ∫csc(x) dx

Integrating the first term by parts:

u'(x) = ∫csc(x) dx = ln|cot(x/2)| + C1

Integrating the second term by parts:

u(x) = -∫csc(x)cot(x) dx = -ln|sin(x)| + C2

So, the particular solution for yp is:

yp = u(x)csc(x) = -ln|sin(x)|csc(x) + C1csc(x) + C2

Now we need to find the general solution y = yc + yp

where yc is the general solution for the complementary homogeneous equation y" + y = 0

yc = C1cos(x) + C2sin(x)

Now we can use the method of variation of parameters to find the general solution for the non-homogeneous equation

By this method, we need to find two functions v1(x) and v2(x) such that W(yc, yp) = v1(x)cos(x) + v2(x)sin(x)

W(yc, yp) = (yc * yp') - (yp * yc')

W(yc, yp) = (C1cos(x) + C2sin(x)) * (-cot(x)csc(x) + C1) - (-ln|sin(x)|csc(x) + C1csc(x) + C2) * (-sin(x)cos(x) + cos(x)sin(x))

W(yc, yp) = -C1cot(x)csc(x) + C1^2 + C2csc(x)

As W(yc, yp) is not identically zero, we can proceed to find v1(x) and v2(x)

v1'(x) = -cot(x)csc(x) + C1

v2'(x) = csc(x)

Integrating both sides by parts:

v1(x) = ln|cot(x/2)| - cot(x) + C3

v2(x) = -cot(x) + C4

The general solution for the non-homogeneous equation y" + y = csc(x) is:

y = yc + yp = (C1cos(x) + C2sin(x)) + (sin(x)ln|sin(x)|

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Answer:

45 cans

Step-by-step explanation:

To find the volume of a cylinder, we need to find the area of the cross section, which in this case is π(radius)², and multiply it with the height of the cylinder

This means the pot has a volume of:

- pot has radius of 7.5in. as diameter is 2 x radius

π x (15/2)² x 11 = 618.75π in.³

The soup can has a volume of:

- soup can has radius of 1.5in. as diameter is 2 x radius

π x (3/2))² x 6 = 13.5π in.³

Divide the volume of the pot by the volume of the can to get how many cans of soup will it take to fill the pot:

618.75π in.³ ÷ 13.5π in.³ = 45.833... cans

The question states you need to round to nearest can which would be 45 cans, but personally, I thought you would always round up as 45 cans won't fill up the whole pot, but it's up to the question.

Answer:

27

Step-by-step explanation:

Let x = ten's digit

Let y = units' digit

Given: the units of a two-digit numeral means

that our final answer will be a 2 digit number (xy)

Given: 5 more than the tens digit  means

y is 5 more than x (y = x + 5)

Given: the number is three times the sum of its digits.

xy is 3 times x + y

A two digit positive integer can be written as 10x + y, where x is the tens digit and y is the ones digit

y = x + 5 and 10x + y = 3(x + y)

x - y = -5

7x - 2y = 0

Multiply the first equation by -2:

-2x + 2y = 10

7x - 2y = 0

Add the equations to get 5x = 10

So, x = 2 and y = x + 5 = 7

Reminder:

Let x = ten's digit

Let y = units' digit

The number is 27

The price elasticity of demand when p=$5 is 6 and Shaki should also rise her price to increase her revenue.

The price elasticity of demand for a good measures the sensitivity of the quantity demanded to its price. When prices increase, the quantity demanded of almost all goods decreases, but the quantity demanded of some goods decreases more than others. Price elasticity gives the percentage change in quantity demanded when price increases by 1%, ceteris paribus. An elasticity of -2 means that a 1% increase in price leads to a 2% decrease in quantity demanded. Other elasticities measure how the quantity demanded varies with other variables such as. Changes in the income elasticity of consumer demand for income).

The given demand curve is as given:

Q = −35 P + 205              --------------------- (1)

Differentiating with the respect to P

ΔQ/ΔP = -35

When the price ,P =$5, Putting in equation(1):

   Q = -35× 5 +205

⇒ Q = -175 + 205

⇒ Q = 30

Now,

\(E_p =\) ΔQ/Q ÷ ΔP/P

rearranging we get:

     ΔQ/ΔP × P/Q

= (-35) × 5/30

=  -35/6

= 5.83333 ≈ 6

Therefore, the elasticity of demand when p =$5 is 6.

Then Shaki should raise his price to increase her revenue.

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Answer:

Area = 19.9 mm²

Step-by-step explanation:

Step 1: Find Angle V.

m < V = 180 - (131 + 27) (sum of angles in a triangle)

V = 22°

Step 2: Find UW using the law of sines.

\( \frac{UW}{sin(V)} = \frac{UV}{sin(W)} \)

Plug in your values

\( \frac{UW}{sin(22)} = \frac{8}{sin(27)} \)

Multiply both sides by sin(22) to solve for UW

\( \frac{UW*sin(22)}{sin(22)} = \frac{8*sin(22)}{sin(27)} \)

\( UW = \frac{8*sin(22)}{sin(27)} \)

\( UW = 6.6 mm \)

Step 3: Find the area of ∆UVW

Area = ½*UW*UV*Sin(U)

Area = ½*6.6*8*sin(131)

Area = 3.3*8*sin(131)

Area = 19.9 mm² (to the nearest tenth)

Answer:

1.96666666667 sorry I don't know the fraction

Step-by-step explanation:

1/3 + 5/6 + 4/3

Convert fractions to have common denominators

6/18 + 15/18 + 24/18 = 45/18

Convert to mixed number

2 9/18

Simplify

2 1/2

The cartesian form of planes perpendicular to the z-axis have in spherical coordinates is z = r cosФ.

Spherical coordinates, also known as spherical coordinates, are a type of curvilinear coordinate system that is useful for defining locations on a sphere or spheroid.

The conversion of cartesian coordinate to spherical coordinate will be

x = r cosθ sinФ

y = r sinθ sinФ

z = r cosФ

The cartesian form of planes perpendicular to the z-axis have in spherical coordinates is z = r cosФ.

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This measure of central tendency can be considered the most precise in option c. mean

The mean is a measure of central tendency that calculates the average of a set of values. It is often considered the most precise measure because it takes into account all the values in the dataset and provides a balanced representation.

The mean is calculated by summing all the values and dividing by the total number of values. Unlike the mode, which only identifies the most frequently occurring value, and the median, which represents the middle value, the mean incorporates all the values and provides a comprehensive summary of the dataset.

However, it is important to note that the mean can be sensitive to extreme values or outliers in the data.

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Hey there!

1/10 = 10/k

FIRST you have to CROSS MULTIPLY

1 • k = 10 • 10

1 • k = 1k ➡️ k

10 • 10 = 100

k = 100

Therefore, your answer is: k = 100

Good luck on your assignment and enjoy your day!

~Amphitrite1040

Answer:

for this, I'm going to assume that the cacao powder costed $2.2. If the cacao costs $2.2 then the milk will cost $0.8.

Step-by-step explanation:

If you subtract 2.2 from 3 then you get 0.8. Also if you add 2.2 with 0.8 then you get 3. another way to simplify it is to add one zero on the end, like this 22+8=30.

The Equation of the linear function is y = 2x + 1.

Here's a step-by-step explanation using the terms you've provided:

1. Identify the slope (m) and y-intercept (b): In a linear function, the equation is typically written in the form y = mx + b, where m represents the slope and b represents the y-intercept.

2. Find the slope: If you're given two points on the line (x1, y1) and (x2, y2), you can find the slope by using the formula: m = (y2 - y1) / (x2 - x1).

3. Determine the y-intercept: If you know the slope and one point on the line (x, y), you can find the y-intercept by rearranging the equation: b = y - mx.

4. Write the equation: Once you have the slope and y-intercept, you can write the equation in the form y = mx + b.

For example, suppose you are given two points on a line: (1, 3) and (3, 7). To write the equation of the linear function:

Step 1: Find the slope (m):
m = (7 - 3) / (3 - 1) = 4 / 2 = 2

Step 2: Determine the y-intercept (b) using one of the points, say (1, 3):
b = 3 - (2 * 1) = 1

Step 3: Write the equation:
y = 2x + 1

So, the equation of the linear function is y = 2x + 1.

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Regarding the exponential function y = 3(2)^x, we have that:

An exponential function is defined as follows:

y = ab^(x/n).

In which the parameters are defined as follows:

The function for this problem is given as follows:

y = 3(2)^x.

Hence the parameters are given as follows:

At x = 3, the numeric value of the function is obtained as follows:

y = 3 x 2^3

y = 3 x 8

y = 24.

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True. Statistical process control is commonly used in service industries, including blood testing labs, to monitor and analyze processes and determine normal levels of variation.

These normal levels of variation are often used as the basis for setting specifications and determining if a process is in control or out of control. Therefore, they can be considered the "voice of the specification" in service industries.

True. Statistical process control is used in service industries like a blood testing lab to determine normal levels of variation. Normal levels of variation are considered the voice of the specification. This helps to maintain quality and control the process.

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If MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

The F statistic is calculated by dividing the variance between groups (MSbetween) by the variance within groups (MSwithin). Therefore, to increase the value of the F statistic, either the numerator (MSbetween) needs to increase, or the denominator (MSwithin) needs to decrease.

So, the answer is:

a. MSwithin > MSbetween

If the variance within groups (MSwithin) is reduced or the variance between groups (MSbetween) is increased, the F statistic will increase. Therefore, if MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

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Answer:

1/2 pound

Step-by-step explanation:

3/4 x 2/3 = 6/12 = 1/2 pound

The equation representing the total number of packages sold is: x + y = 26. It states that the sum of the small packages (x) and large packages (y) sold equals 26.

Let's define the number of small packages sold as "x" and the number of large packages sold as "y." We are given that the club sold a total of 26 packages.

To express this information as an equation, we can use the concept of total quantities. The total quantity of packages sold would be the sum of small packages (x) and large packages (y). Therefore, the equation can be written as:

x + y = 26

This equation represents the relationship between the number of small packages sold (x) and the number of large packages sold (y) to achieve a total of 26 packages sold by the club.

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Answer:

\(- \frac{2 }{3} \)

Step-by-step explanation:

\(the \: slope : m = \frac{3 - 5}{8 - 3} = \frac{ - 2}{ + 5} = - \frac{2 }{3} \)

♨Rage♨

Answer:

68.75%

Step-by-step explanation:

First you do 54 - 32 to get 22.

Then you divide 22 by 32 to get the decimal 0.6875

Finally, you multiply 0.6875 by 100 to get 68.75% :D

Answer:

68.73% more cars were sold

Step-by-step explanation:

from 32 cars that represented 100% went to 54 so is a diference of 54-32=22

Now what percentage  of 32 is 22?

32 is 100%

22 is x%

x=(22*100)/32=2200/32=68.73%

Answer:

see explanation

Step-by-step explanation:

cos F = \(\frac{adjacent}{hypotenuse}\) = \(\frac{FD}{EF}\) = \(\frac{5}{13}\)

sin F = \(\frac{opposite}{hypotenuse}\) = \(\frac{ED}{EF}\) = \(\frac{12}{13}\)

tan F = \(\frac{opposite}{adjacent}\) = \(\frac{ED}{FD}\) = \(\frac{12}{5}\)

A(8) = 9/7A(-5) = -1/3A(3/1) = 2A(-71/1) = -5/36

Function: A(t) = (t+1)/(t-1)For the given function A(t), the following values are to be calculated: A(8), A(-5), A(3/1), and A(-71/1)A(8):We need to substitute t=8 in the function. A(8) = (8+1)/(8-1) = 9/7Therefore, A(8) = 9/7A(-5):We need to substitute t=-5 in the function. A(-5) = (-5+1)/(-5-1) = -1/3Therefore, A(-5) = -1/3A(3/1):We need to substitute t=3/1 in the function. A(3/1) = (3/1+1)/(3/1-1) = (4)/(2/1) = 4*1/2 = 2Therefore, A(3/1) = 2A(-71/1):We need to substitute t=-71/1 in the function. A(-71/1) = (-71/1+1)/(-71/1-1) = (-70/1)/(-72/1) = (-5/36)Therefore, A(-71/1) = -5/36Therefore, the respective answers for the given values of the function A(t) are as follows: A(8) = 9/7A(-5) = -1/3A(3/1) = 2A(-71/1) = -5/36

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