The circle below has center H. Suppose that m FG = 44°. Find the following.

Graph D shows the relationship between the number of side dishes and the total cost of the special.

Since we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

In Graph D, the y coordinate, or we can say that the number of boxes is 25 for the x coordinate, or the time (in days).

As we follow the graph, we can say that there is 21 boxes for 3 days, 19 boxes for 4 days, and 13 boxes for 7 days.

Therefore, Graph D shows the relationship given in the table.

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Answer:

V = 2304π units³

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = \(\frac{4}{3}\)πr³ ( where r is the radius ) , then

V = \(\frac{4}{3}\)π × 12³

   = \(\frac{4}{3}\) π × 1728

   = 4π × 576

   = 2304π units³

To reduce the third-order ordinary differential equation y - y" - 4y + 4y = 0 into a companion system of linear equations, we introduce new variables u and v:

Let u = y,

v = y',

w = y".

Taking the derivatives of u, v, and w with respect to the independent variable (let's denote it as x), we have:

du/dx = y' = v,

dv/dx = y" = w,

dw/dx = y"'.

Now we can rewrite the given differential equation in terms of u, v, and w:

u - w - 4u + 4u = 0.

Simplifying the equation, we get:

-3u - w = 0.

This equation can be expressed as a system of first-order linear differential equations as follows:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

Now we have a companion system of linear equations:

du/dx = v,

dv/dx = w,

dw/dx = -3u - w.

To solve this system completely, we need to find the solutions for u, v, and w. By solving the system of differential equations, we can obtain the solutions for u(x), v(x), and w(x), which will correspond to the solutions for y(x), y'(x), and y"(x), respectively.

The exact solutions for this system of differential equations depend on the initial conditions or boundary conditions that are given. By applying appropriate initial conditions, we can determine the specific solution to the system.

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The pairing is not a function, as the input 2 is mapped to two different outputs.

A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.

From the table, the mappings are given as follows:

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Answer:

awnser value is 64

Step-by-step explanation:

4³ is an exponential multiplied by itself 3 times an added to 2

Answer:

82

Step-by-step explanation:

Follow BIDMAS: 1. Brackets, 2. Indices, 3. Division, 4. Multiplication, 5. Addition, 6. Subtraction

1. Brackets, 5+4=9

therefore the equation is now

\(4^3+2*9\)

2. Indices

\(4^3=4*4*4=64\)

therefore the equation is now

\(64+2*9\)

3. Multiplication

2*9=18

therefore the equation is now

64+18

now add,

=82

therefore, \(4^3+2*(5+4)=82\)

Answer:

Step-by-step explanation:

-1 = 7 - x

On this case, what you want to achieve is for all the constants to go to one side of the equation and all the variables would be on the other side of the equation. Let us transpose 7 to the left side of the equation.

subtract 7 on both sides

-1 = 7 - x

-1 - 7 = 7 - 7 - x

Simplify

-8 = -x

Divide both sides by -1

-8/-1 = -x/-1

8 = x

The answer to the question is x=8. It is an example of a linear equation.

A linear equation is an algebraic equation that represents a straight line when graphed on a coordinate plane. It consists of variables, constants, and coefficients, with the variables raised to the power of 1 (i.e., they are not squared or cubed).

A general form of a linear equation with one variable, let's say x, is:

ax + b = 0

Here, 'a' and 'b' are constants, and 'x' is the variable. The coefficient 'a' represents the slope or gradient of the line, while the constant term 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

In this question,

-1 = 7-x (Given)

so, x = 7+1

        =8

Therefore, the solution to the equation is x=8.

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Answer:

28=x

Step-by-step explanation:

2/5=x/70

(70/1)(2/5)=x/70(70/1)

here you cancel 70 into 5 to get 14 and on the other side cancel both the 70s

14*2=x

28=x

Answer:

28

Step-by-step explanation:

multiply 2 * 70 then divide by 5

The slope of the line that passes through the points, (3, 4) and (-4, -5) is: A. 9/7.

The slope of a line can be calculated by using the slope formula, which is given as:

Slope (m) = change in y / change in x or rise / run.

Given that the following points lie on a line:

The slope of the line would be solved using the slope formula as explained below:

Slope (m) = change in y / change in x = (-5 - 4) / (-4 - 3)

m = -9 / -7

Slope (m) = 9/7.

Therefore, the slope is identified as:

a. 9/7.

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Answer: 960

Step-by-step explanation:

Let's represent the number of pennies Kaitlin's bank can hold with "x".

According to the problem, the bank is initially 1/4 full. This means it contains:

(1/4)x

After Kaitlin adds 400 pennies, the bank becomes 2/3 full. This means it contains:

(2/3)x

We can set up an equation based on the information above:

(1/4)x + 400 = (2/3)x

To solve for x, we can start by multiplying both sides by the least common multiple of 4 and 3, which is 12:

3x + 4800 = 8x

Subtracting 3x from both sides, we get:

4800 = 5x

Dividing both sides by 5, we find:

x = 960

Therefore, Kaitlin's bank can hold 960 pennies.

Answer:

b(5,4)

Step-by-step explanation:

1. 1=x-3/2

x=5

2. -2=y-8/2

y=4

Answer:

Actually,I don't understand the que but I will try.

Step-by-step explanation:

Supplementry it means the pair of angle that sum if 180° similarly, complimentry angle sum is 90°

Answer:

A: Complementary, Missing angle -29

E: Complementary, Missing angle -39

J: Complementary, Missing angle - 52

last one: Complementary, Missing angle -66

Hope this helps!

Answer:

-y^4+x^4+2*3^yx^2+3^2y

Step-by-step explanation:

Answer:

Step-by-step explanation:

The number of bolts that must be sold to maximize revenue is: C) 228 bolts.

From the information provided, the amount of revenue with respect to price that's being generated in this scenario can be calculated by using the following function (equation):

R(x) = x × P(x)

Where:

Since it is a revenue function, we would simply substitute the value of the unit price and then take the first derivative with respect to x as follows:

Revenue, R(x) = x × P(x)

Revenue, R(x) = (38 - x/12) × x

Revenue, R(x) = 38x - x²/12

Marginal revenue, R'(x) = 38 - x/6

0 = 38 - x/6

x/6 = 38

x = 6 × 38

x = 228 bolts.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The formulated Linear Program aims to minimize the objective function, which is the sum of production and inventory costs minus the revenue from selling the end-of-period inventory at month 4.

In this problem, we need to determine the optimal production and inventory levels over the four-month period to minimize costs and maximize revenue. We can formulate this as a linear programming problem with the following decision variables:

Let x1, x2, x3, x4 represent the production quantities for months 1, 2, 3, and 4, respectively.

Let y1, y2, y3, y4 represent the end-of-month inventory levels for months 1, 2, 3, and 4, respectively.

The objective function we want to minimize is:

Minimize: (5x1 + 8x2 + 4x3 + 7x4) + (2y1 + 2y2 + 2y3) - (15y4)

Subject to the following constraints:

1. Initial inventory: y1 = 15 (given)

2. Production capacity constraints:

  x1 <= 90 (month 1 capacity)

  x2 <= 75 (month 2 capacity)

  x3 <= 80 (month 3 capacity)

  x4 <= 50 (month 4 capacity)

3. Inventory balance equations:

  y1 + x1 - 50 = y2 (month 1)

  y2 + x2 - 65 = y3 (month 2)

  y3 + x3 - 100 = y4 (month 3)

  y4 + x4 - 70 = 0 (month 4, no carryover inventory)

4. Non-negativity constraints:

  x1, x2, x3, x4, y1, y2, y3, y4 ≥ 0

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Answer:

if im right i think its A

Step-by-step explanation:

.

The volume of a solid is found using the curve y = (1/9)x² and the line x=5.  And the volume is found to be 625π/18 cubic units.

A volume of a solid is used to determine how much space a particular object will take. It tells the amount of space that is present in an object. For example, if we consider a cylinder and fill it with water, the amount of water it can hold is the cylinder's volume.

Given the equation is y = (1/9)x² and x=5, y=0; about the y-axis. From the graph, the larger radius R = 5 and the smaller radius r=x=√(9y). Then, the limit is written as follows,

when x=0, y=0

when x= 5,  y = 1/9×(5)²=25/9

Now, the volume is calculated by using the integral as follows,

\(\begin{aligned}V&=\int^{25/9}_0 (\pi R^2-\pi r^2)\;dy\\&=\pi \int^{25/9}_0 ((5^2-(\sqrt{9y})^2)\;dy\\&=\pi \int^{25/9}_0 (25-9y)\;dy\\&=\pi\left[25y-\frac{9y^2}{2}\right]^{25/9}_{0}\\&=\pi\left[25\left(\frac{25}{9}-0\right)-\frac{9}{2}\left(\left(\frac{25}{9}\right)^2-0^2\right)\right]\\&=\pi \left[\frac{625}{9}-\frac{625}{18}\right]\\&=\frac{625 \pi}{18}\end{aligned}\)

The required answer is 625π/18 cubic units.

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\(\\ \sf\longmapsto x-5/3=1\)

\(\\ \sf\longmapsto x=1+5/3\)

\(\\ \sf\longmapsto x=3+5/3\)

\(\\ \sf\longmapsto x=8/3\)

Done

\(\sf \longmapsto \: x- \dfrac{5}{3} =1\)

\(\sf \longmapsto \: x + \dfrac{ - 5}{ 3} = 1\)

\(\sf \longmapsto x + \dfrac{ - 5}{3} + \dfrac{5}{3} = 1 + \dfrac{5}{3} \)

\(\sf \longmapsto \: x = \dfrac{8}{3} \)

\( \boxed{\sf { \red{ x = \dfrac{8}{3}}} }\)

Answer:

The minimum amount of fencing needed to complete the project = 68 feet

Step-by-step explanation:

The garden is a square

Let the sides of the square be L

area of square = L × L = L² = 289 square feet

L² = 289 sq ft

L = √(289

L = 17 feet

This means that each side of the garden has a dimension of 17 ft.

Ince a square has 4 equal sides, to calculate the minimum amount of fencing needed, we will find the total length of the 4 sides of the garden, which is the perimeter of the garden:

Perimeter of a square = 4 × L

= 4 × 17

= 68 feet

Therefore, minimum amount of fencing needed = 68 feet

The Laplace equation is defined as Au=0. The aim is to solve analytically Laplace's equation in the square [0, 1]²2 with boundary conditions u(x,0) = 0 = u(0, y), u(x, 1) = u(1, y) = 1.

Let's consider the Laplace equation as followsAu = ∂²u/∂x² + ∂²u/∂y²= 0Given boundary conditions areu(x, 0) = 0u(0, y) = 0u(x, 1) = u(1, y) = 1The solution of the Laplace equation is as followsu(x,y) = X(x).Y(y)Let's find the boundary conditionsu(x, 0) = 0

Let's substitute the value of Y(0) in the solution to get X(x).Y(0) = 0, which implies Y(0) = 0Similarly, u(0, y) = 0 => X(0).Y(y) = 0 => X(0) = 0Now, let's find the remaining boundary conditionsu(x, 1) = 1X(x).Y(1) = 1 => Y(1) = 1/X(x)u(1, y) = 1 => X(1).Y(y) = 1 => X(1) = 1/Y(y)Now, let's put the values of X(0) and X(1) in the below equationX(0) = 0, X(1) = 1/Y(y)X(x) = x

Now, let's put the values of Y(0) and Y(1) in the below equationY(0) = 0, Y(1) = 1/X(x)Y(y) = sin(n.π.y) /sinh(n.π)Therefore, the solution of Laplace's equation u(x, y) is as follows;u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π)Answer:Therefore, the solution of Laplace's equation u(x, y) is u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π).

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Laurel can choose from 320 different combinations of flower type, vase, and ribbon color to create her bouquet.

To calculate the possible combinations of flower type, vase, and color that Laurel can choose from, we need to use the multiplication principle of counting. This principle states that the total number of possible outcomes is equal to the product of the number of choices for each category.
So, for the flowers, there are eight different types to choose from. For the vases, there are four different options. And for the ribbon, there are 10 different colors to choose from.
Therefore, the total number of possible combinations is:
8 x 4 x 10 = 320

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Answer:

8 dimes and 17 nickels

Step-by-step explanation:

First, we assume all of his coins are nickels. $0.05 * 25 will be $1.25. 165 - 125 is 40, and the money difference of a dime and a nickel is $0.05, so Ralph has 8 dimes and 17 nickels. We can check it by doing (8x10) + (17x5). 80 plus 85 is 165, therefore we can confirm our answer is true.

Answer: Katie made 4 while Sara made 8

Step-by-step explanation: It takes thinking but while reading and seeing that Sara makes twice as much, I thought of 3 but that didn't work, then I thought of 4 and they had equaled 12. hope the explanation was good.

The maximum interest rate that can be charged during the fifth year is 6.75%. The correct option is the third option c. 6.75%

From the question, we are to determine the maximum interest rate that can be charged during the fifth year

A 2/1 ARM means that the interest rate is fixed for the first two years and then adjusts annually based on a specified index plus a margin. The "2/10 cap" means that the interest rate can only increase or decrease by a maximum of 2 percentage points each year, and can never be more than 10 percentage points higher than the initial rate.

Since the initial rate is 2.75%, the maximum rate that can be charged during the fifth year is:

2.75% + (2 x 2%) = 6.75%

Hence, the maximum interest rate that can be charged during the fifth year is 6.75%.

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Answer:

0.2

Step-by-step explanation:

5/25 as a decimal is 0.2.

1/5=0.2

just reduce it to 1/5 and divide it into a decimal

The probability of a Type II error is represented by beta. Thus, the correct answer is option B.

Beta represents the probability of failing to reject the null hypothesis when it is false.

On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.

The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.

The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.

Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.

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The UCLR (Upper Control Limit) and LCLR(Lower Control Limit) are 2.22 and 0 respectively.

Given that,

At five soups that were chosen at random, average temperatures were recorded. X-bar and r-bar positions were 45.25 degree and 1.05 degree, respectively.

To find : UCLR (Upper Control Limit) and LCLR (Lower Control Limit)

R-bar = 1.05 Degrees

X-bar = 45.25 Degrees

Sample Size , n=5

D3=0

D4=2.114

3 Sigma control limits of Range Chart

LCLR = D3*R-bar = 0*1.05 =0

UCLR =D4*R-bar = 2.114*1.05 = 2.22

The UCLR (Upper Control Limit) and LCLR (Lower Control Limit) are therefore 2.22 and 0, respectively.

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