Find the area of the semicircle. Round your answer to the nearest hundredth.
2 ft
Área: about?

The linear function f Eve can use to determine her pay would be; D. f(x) = 14x + 12

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is the form Ax + B = 0.

Given that Eve earns $14 per hour for yard work and an extra amount for dog walking on Saturdays.

The table shows the data;

Hours 1 2 3 4 5

Pay 26 40 54 68 82

Thus, the linear function f Eve can use to determine her pay is;

f(x) = 14x + 12

To check;

f(x) = 14x + 12

f(x) = 14(1) + 12

f(x) = 14 + 12 = 26

Hence, The linear function f Eve can use to determine her pay would be; D. f(x) = 14x + 12

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The price should be charged to make the most profit is the maximum profit that can be made is $2,400.

Let's assume that x be the price per item sold and the number of items sold at that price be given by 2000-300x.

The cost of producing one item is $9.

Now, to find the profit from selling an item, we can take the difference between the price per item and the cost per item.

Profit per item = (Price per item) - (Cost per item)

Profit per item = x - 9

Therefore, the total profit made from selling all the items is given by:

Profit = (Profit per item) * (Number of items sold)

Profit = (x - 9) * (2000 - 300x)

Profit = 2000x - 300x² - 18000 + 2700x

Profit = -300x² + 4700x - 18000

To find the price that will generate the most profit, we need to find the value of x that maximizes this quadratic expression. We can do this by finding the vertex of the parabola that represents this expression.

The x-value of the vertex of a parabola of the form ax² + bx + c is given by:

b/2a

In this case, a = -300, b = 4700, and c = -18000.

Therefore, the x-value of the vertex is given by:

b/2a = -4700/(2*(-300))

b/2a = 7.83 (rounded to two decimal places)

Since we can't sell a fractional number of items, we need to round this value up to the nearest dollar.

Therefore, the price that should be charged to make the most profit is $8 per item.

If we plug this value of x into the profit equation, we get:

Profit = -300(8)² + 4700(8) - 18000

Profit = $2,400

Therefore, the maximum profit that can be made is $2,400. This can also be verified using the first and second derivative tests to confirm that the vertex is a maximum and not a minimum.

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The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.

Number of push ups Dulce can do : number of push ups Sara can do

Let

number of push ups Sara does = x

7 : 6 = 28 : x

7/6 = 28/x

cross product

7 × x = 28 × 6

7x = 168

divide both sides by 7

x = 168/7

x = 24

Therefore, Sara does 24 push ups during the gym class.

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Answer:

11. 4 times q

17. 2 times a plus 6

19. x + 7

21. 5n

23. f / 10

25. 3n + 16

27. k^2 - 11

29. π · r² · h

This was all I was able to do with the picture provided.

Hopefully these are all correct.

The value of the line integral \(\(\oint_C x^2y^2dx + x^3dy\)\) along the given trapezoid boundary \(\(C\)\) is 2.

The trapezoid has four vertices: \(\((-1,-1)\), \((1,0)\), \((1,2)\),\) and \(\((-1,1)\)\). Let's denote the vertices as \(\(P_1\), \(P_2\), \(P_3\), and \(P_4\)\) respectively, in the counterclockwise direction.

We can divide the boundary curve into four segments: \(\(C_1\)\) connecting \(\(P_1\)\) and\(\(P_2\)\), \(\(C_2\)\) connecting \(\(P_2\)\) and \(\(P_3\),\) \(\(C_3\)\) connecting\(\(P_3\)\) and \(\(P_4\)\), and \(\(C_4\)\)connecting \(\(P_4\)\) and \(\(P_1\)\).

Now, let's parameterize each segment individually.

For \(\(C_1\)\), we can parameterize it as \(\(\mathbf{r}_1(t) = (t, -1)\)\), where \(\(t\)\) varies from -1 to 1.

For \(\(C_2\)\), we can parameterize it as \(\(\mathbf{r}_2(t) = (1, t)\)\), where \(\(t\)\) varies from 0 to 2.

For \(\(C_3\)\), we can parameterize it as \(\(\mathbf{r}_3(t) = (t, 1)\)\), where \(\(t\)\) varies from 1 to -1.

For \(\(C_4\)\), we can parameterize it as \(\(\mathbf{r}_4(t) = (-1, t)\)\), where \(\(t\)\) varies from 1 to -1.

Next, we calculate the line integral over each segment and sum them up to obtain the final result.

The line integral over \(\(C_1\)\) is given by:

\(\[\int_{-1}^{1} x^2y^2dx + x^3dy = \int_{-1}^{1} t^2(-1)^2dt + t^3(-1)dt = -\frac{4}{3}\]\)

The line integral over \(\(C_2\)\) is given by:

\(\[\int_{0}^{2} 1^2t^2dt + 1^3dt = \frac{10}{3}\]\)

The line integral over \(\(C_3\)\) is given by:

\(\[\int_{1}^{-1} t^21^2dt + t^31dt = \frac{4}{3}\]\)

The line integral over \(\(C_4\)\) is given by:

\(\[\int_{1}^{-1} (-1)^2t^2dt + (-1)^3dt = -\frac{4}{3}\]\)

Summing up all the line integrals, we have:

\(\[-\frac{4}{3} + \frac{10}{3} + \frac{4}{3} - \frac{4}{3} = 2\]\)

Therefore, the value of the given line integral along the trapezoid boundary \(\(C\)\) is 2.

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Irreversibilities present in an internal combustion engine include friction, heat transfer, and chemical reaction. Therefore, the correct answer is that all of the answers are correct.

Friction is an important source of irreversibility in internal combustion engines. It occurs due to the rubbing and resistance between moving parts, such as the piston rings, bearings, and valves. Friction leads to energy losses and reduces the engine's efficiency. Heat transfer is another irreversibility in internal combustion engines. During the combustion process, heat is transferred between the high-temperature combustion chamber and the surrounding components, such as the cylinder walls and cooling system. This heat transfer results in energy dissipation and affects the engine's overall performance. Chemical reactions taking place within the engine are also sources of irreversibility. Combustion itself is a chemical reaction that converts fuel and oxidizer into products, releasing heat energy. However, not all fuel molecules undergo complete combustion, leading to the formation of byproducts and pollutants. These incomplete reactions contribute to irreversibilities and affect the engine's efficiency and emissions. Therefore, all of the answers are correct as friction, heat transfer, and chemical reactions are significant irreversibilities present in internal combustion engines that impact their performance and efficiency.

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Step-by-step explanation:

y = 0.5x + 4

When y = 2, x = -4. (shown in graph)

When y = 6, x = 4. (shown in graph)

Hence the domain would be -4 <= x <= 4.

So, Lana gave away 26.32% of he Pokemon cards  to her little brother.

To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.

In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:

(125 / 475) * 100 = 0.2632 * 100 = 26.32%.

Lana gave away 26.32% of her Pokemon cards to her little brother.

Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:

Percentage given away

= (Cards given away / Total cards) * 100

= (125 / 475) * 100

= 26.32%.

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Answer:

41

Step-by-step explanation:

93-52=41

The extent to which conclusions developed from data collected from a sample can be extended to the population is known as generalizability.

Generalizability is defined as the ability to extend the findings of a research study conducted on a sample to the population as a whole. The extent to which the research findings can be applied to other individuals, groups, or settings is determined by generalizability. The more representative the sample is of the population, the more generalizable the results will be to the population. However, if the sample is not representative of the population, the results may not be generalizable to the population as a whole. Therefore, it is important to ensure that the sample is representative of the population and that the study is conducted in a manner that minimizes bias and maximizes the validity of the results.

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Answer:

-2.50

Step-by-step explanation:

3 is closer to 0then 10

Answer:

-2.53

Step-by-step explanation:

Already rounded to the nearest Hundredth

Answer:

1 gallon and 1 pint

Step-by-step explanation:

I guess that the actual amount of water needed per player is 1/8 of gallon and not 18 gallons.

You will need to bring 9 x 1/8 = 9/8 = 1 ¹/₈ gallons or 1 gallon and 1 pint

1 gallon = 4 quarts = 8 pints = 16 cups = 128 ounces

or

1 gallon = 3.785 liters

The US is one of the few countries (along with Liberia, and Myanmar) that still uses the imperial system to measure things, e.g. inches, feet, yards, pounds, miles, pints, gallons, etc. The rest of the world uses the metric system, e.g. meters, liters, kilograms, etc.

Answer:

1 1/8

Step-by-step explanation:

i did it on edge

The  3x3 matrix that rotates a point in R2 60 degrees about the point (6,8) using homogeneous coordinates is:

```
| 1/2  -sqrt(3)/2  6 - 6/2*sqrt(3)|
|sqrt(3)/2   1/2    8 - 6sqrt(3)/2|
|  0        0       1      |
```

To rotate a point in R2 by 60 degrees about the point (6,8), we can use homogeneous coordinates and a 3x3 transformation matrix. The transformation matrix can be constructed as follows:

1. Translate the point (6,8) to the origin by subtracting (6,8) from the point.
2. Rotate the point by 60 degrees counterclockwise around the origin.
3. Translate the point back to its original position by adding (6,8) to the rotated point.

Step 1: Translation matrix

To translate the point (6,8) to the origin, we need to subtract (6,8) from the point. This can be done using the following translation matrix:

```
T = |1  0  -6|
   |0  1  -8|
   |0  0   1|
```

Step 2: Rotation matrix

To rotate the point by 60 degrees, we need to use the following rotation matrix:

```
R = |cos(60)  -sin(60)  0|
   |sin(60)   cos(60)  0|
   |   0         0     1|
```

Note that we are using radians for the angle in the cosine and sine functions, so cos(60) = 1/2 and sin(60) = sqrt(3)/2.

Step 3: Translation matrix

To translate the point back to its original position, we need to add (6,8) to the rotated point. This can be done using the following translation matrix:

```
T' = |1  0   6|
    |0  1   8|
    |0  0   1|
```

Combining the matrices

To combine the matrices, we can multiply them in the following order: T' * R * T. This gives us the final transformation matrix:

```
M = | 1/2  -sqrt(3)/2  6 - 6/2*sqrt(3)|
   |sqrt(3)/2   1/2    8 - 6sqrt(3)/2|
   |  0        0       1      |
```

Therefore, the 3x3 matrix that rotates a point in R2 60 degrees about the point (6,8) using homogeneous coordinates is:

```
| 1/2  -sqrt(3)/2  6 - 6/2*sqrt(3)|
|sqrt(3)/2   1/2    8 - 6sqrt(3)/2|
|  0        0       1      |
```

Note that the matrix has been simplified to express the trigonometric functions in terms of radicals.

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The probability of having at least one dog adopted is 0.6126

It is given that the probability to adopt a dog is 0.1

The adoption of the dog here clearly follows a Binomial distribution

ⁿCₓ  X  pˣ  X  (1 - p)ⁿ⁻ˣ

where,

n = no. os sample

p = probability of success

x = random variable.

Here the success would be the adoption of a dog, We are given here there were 9 visits

Hence,

n = 9

p = 0.1

1 - p = 0.9

we need to find the probability of the adoption of at least one dog

= P(X ≥ 1)

= 1 - P(X = 0)

Hence we get

P(X = 0)

= ⁹C₀  X  0.1⁰  X  0.9⁹

= 0.3874

Hence,

P(X ≥ 1)

= 1 - 0.3874

= 0.6126

Therefore the probability that at least one dog will be adopted is 0.6126

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Answer:

-1352x

Step-by-step explanation:

Because x never got a value and then so it stands there.

Answer:

jhhhhbbbnnnnbbbbbnnnnn

Answer:

20.4% is the percent discount

Step-by-step explanation:

First, subtract your retail price from the discounted purchase price ($98-$78). You get $20 off.

Then take your $ off and put that over the retail price, then multiply that times 100 (20/98=.20408163 then times it by 100 to get 20.4)

tadaaaa

Answer:

x = 1

Step-by-step explanation:

Note that the two lines are of equal length

4x-1 = x + 2

3x = 3

x = 1

Answer:

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

\(y= \frac12 x^2 -2x +\frac32\)

Step-by-step explanation:

From the two zeroes, you can tell that the polynomial factors as \(y= A(x-1)(x-3)\). You have still one degree of freedom (determining how wide the parabola is. You can determine it with the other condition:

\(4 = A(5-1)(5-3) \rightarrow 4= A(4)(2) \rightarrow A= \frac12\)

Your function is \(y= \frac12 (x-1)(x-3) = \frac12 x^2 -2x +\frac32\)

Answer:

y = -3x - 4

Step-by-step explanation:

y = mx + b

-10 = -3 (2) + b

-10 = -6 + b

b = -4

Answer:

15

Step-by-step explanation:

anything that is a variable is automatically one

4+1=5

5 x 3=15

A formula for the mass of radium as a function of time t is: M(t) = M(0) * (1/2)^(t/1600)

Let M(t) be the mass of radium at time t. The half-life of radium is 1600 years, which means that after 1600 years, the mass will decrease to half of its original value.

So, after one half-life, we have:

M(1600) = 1/2 * M(0)

where M(0) is the initial mass of radium.

After two half-lives, or 3200 years, the mass will decrease to half of what it was after the first half-life:

M(3200) = 1/2 * M(1600) = 1/2 * (1/2 * M(0)) = 1/2^2 * M(0)

In general, after n half-lives, or nt years, the mass will be:

M(nt) = 1/2^n * M(0)

Therefore, a formula for the mass of radium as a function of time t is:

M(t) = M(0) * (1/2)^(t/1600)

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Answer:

32$ Each

Step-by-step explanation:

15+13=28

92-28= 64

64/2 = 32$

Answer:

Step-by-step explanation:

The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

The realization of the stochastic process implies that the values of the stochastic process are observed at particular points in time. It is denoted by x(t) and takes the form of a function of time t.

If the process is discrete, then the function is a sequence of values at discrete points in time.

A stochastic process is one that evolves over time and the outcomes are uncertain.

The given expression P(X5=3|X4=3,X3=3,X2=1,X1=4, X0=1) gives the probability of X5 being equal to 3 given that X4 is equal to 3, X3 is equal to 3, X2 is equal to 1, X1 is equal to 4, and X0 is equal to 1.

To understand the above expression, suppose we have a stochastic process with values X0, X1, X2, X3, X4, and X5.

The given expression provides the conditional probability of the value of X5 being equal to 3 given that X0, X1, X2, X3, and X4 take specific values.

The given information that X0=1, X1=4, X2=1, X3=3, and X4=3 further restricts the possible values that X5 can take.

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That a full cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat.

carat weight is determined by a combination of a diamond's size and density. A diamond's size is measured by its diameter, which is the distance across the widest part of the diamond, known as the girdle. Therefore, a diamond with a larger girdle diameter will generally weigh more than a diamond with a smaller diameter, assuming all other factors are equal.

the weight of a diamond can be estimated based on its girdle diameter, and a full-cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat. However, it's important to note that other factors, such as depth, cut, and clarity, can also affect a diamond's weight and value.

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Kindly note that the spinner diagram. Wasn't given and the spinner used was just hypothetical.

Answer:

1 /18

Step-by-step explanation:

Sample space for spinner = (a, b, c, d, e, F, G, h, I) = 9

Total possible outcomes = sampme space

Vowels in spinner = (a, e, I)

Number of vowels = required outcome = 3

P(spinning a vowel) = required outcome / Total possible outcomes

P(spinning a vowel) = 3 / 9 = 1/3

For a six sided dice ;

Required outcome = (6) = 1

Total possible outcomes = (1,2,3,4,5,6) = 6

P(rolling a six) = 1/6

P(rolling a 6 and spinning a vowel) = 1/3 * 1/6 = 1/18

Answer:

inductive

Step-by-step explanation:

vbkugu stottlxd5xlhlhclxylyyldydpdyxyo

Answer:

The formula of (a+b)² and (a-b)² are as follows:

Step-by-step explanation:

(a+b)²=a²+2ab+b²

(a-b)²=a²-2ab+b²

Step-by-step explanation:

These are identities .

\(:\implies \) ( a + b)²

\(:\implies \) ( a + b) ( a + b)

\(:\implies \) a ( a + b ) + b ( a + b)

\(:\implies \) a² + ab + ab + b²

\(:\implies \) a² + 2ab + b²

\(:\implies \) ( a - b)²

\(:\implies \) ( a - b) ( a - b)

\(:\implies \) a ( a - b ) - b ( a - b)

\(:\implies \) a² - ab - ab + b²

\(:\implies \) a² - 2ab + b²

Answer:

1:4

Step-by-step explanation:

so we are comparing the arc lengths to get the ratio of DE:BC

\( \beta \div 360 \times 2 \times \pi \times r\)

to get arc length BC as

\( \beta \times \pi \times r \div 90\)

and for DE as

\( \beta \times \pi \times r \div 360\)

so divide DE by BC where beta pi r will cancel out. and you remain with 1/4 Wich will translate to 1:4

Answer:

value of x = 8

Step-by-step explanation:

well here,

line x is parallel to the line measuring 18

so the two triangles are similar to each other

hence ratio of their sides are equal

so 6/ 12 = x/ 16

=》1/2 = x/16

=》 x = 16 / 2

=》 x = 8

i hope u got it

have a nice day

Answer:

x = \(\frac{16}{3}\)

Step-by-step explanation:

The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is

\(\frac{6}{6+12}\) = \(\frac{x}{16}\) , that is

\(\frac{6}{18}\) = \(\frac{x}{16}\) ( cross- multiply )

18x = 96 ( divide both sides by 18 )

x = \(\frac{96}{18}\) = \(\frac{16}{3}\)