3. Based on the graph of the function y = g(x) shown below, answer the following questions.
y
(a) Evaluate g (-2), g(0), g (3) and g (7).
hogy
Joo 1 023
(b) What values of x solve the equation g(x)=0
(c) Graph the horizontal line y = 2 on the grid
above and label.
wirb
X
(d) How many values of x solve the equation
g(x)=2?

Step-by-step explanation:

x= 0 y= 3

y= mx+ b

b= 3

x= 0 y = 3

x= 2 y= 1

1= 2m+ 3

2m = -2

m= -1

y = -x + 3

The standard deviation decreases as the sample size increases.

The degree of data dispersion from the mean is measured by the standard deviation. Data are grouped around the mean when the standard deviation is low, and are more dispersed when the standard deviation is high.

A region containing 68 percent of the total number of data points would be defined by one standard deviation, or one sigma, shown above or below the average value on that normal distribution curve. Ninety-five percent of the data would be covered by two sigmas above or below, whereas three sigmas would cover 99.7 percent.

The standard deviation is significant because it reveals the degree of dispersion of the values in a particular dataset. Every time we examine a dataset, we look for the following metrics: the dataset's geographic center.

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Answer: 352

Step-by-step explanation:

Answer:

352

Step-by-step explanation:

hard to explain

The orthogonal matrix S is

S = [1/√3 1/√3]

     [1/√3 -1/√3]

     [1/√3 1/√3]

To find an orthogonal matrix S such that S^(-1)AS is a diagonal matrix D, we need to find the eigenvectors of matrix A.

Given matrix A:

[0 2]

[2 0]

To find the eigenvectors, we solve the characteristic equation:

|A - λI| = 0

where λ is the eigenvalue and I is the identity matrix.

(A - λI) =

[0 - λ 2]

[2 0 - λ]

Expanding the determinant:

(-λ)(-λ) - 2(2) = λ^2 - 4 = 0

Solving for λ:

λ^2 = 4

λ = ±2

For λ = 2:

(A - 2I)v = 0

[0 - 2 2] [v1] = [0]

[2 0 - 2] [v2] [0]

Simplifying the system of equations:

-2v2 + 2v3 = 0

2v1 - 2v3 = 0

Solving the equations, we find v1 = v2 = v3.

Therefore, one eigenvector corresponding to λ = 2 is [1 1 1].

For λ = -2:

(A + 2I)v = 0

[0 2 2] [v1] = [0]

[2 0 2] [v2] [0]

Simplifying the system of equations:

2v2 + 2v3 = 0

2v1 + 2v3 = 0

Solving the equations, we find v1 = -v2 = v3.

Therefore, another eigenvector corresponding to λ = -2 is [1 -1 1].

To find the orthogonal matrix S, we normalize the eigenvectors:

v1 = [1 1 1] / √3

v2 = [1 -1 1] / √3

Now, we can construct the matrix S using the eigenvectors as columns:

S = [v1 v2]

[--- ---]

[--- ---]

Substituting the normalized eigenvectors:

S = [1/√3 1/√3]

[1/√3 -1/√3]

[1/√3 1/√3]

Therefore, the orthogonal matrix S is:

S = [1/√3 1/√3]

[1/√3 -1/√3]

[1/√3 1/√3]

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A a gang of 17 bandits stole a chest of gold coins, using Chinese Remainder Theorem the smallest possible number of coins in the chest is given as 7.

The Chinese Remainder Theorem in Mathematics states that, assuming that n and the divisors are pairwise coprime, one may utilise the remainders of n's division by the product of these other numbers to get the unique remainder of n's division by n. (no two divisors share a common factor other than 1).

Apply Chinese Remainder Theorem we get,

x≡3(mod17),

So, (x-3) is divided by 17

so, x = 20

x≡10(mod16),

(x-10) is divided by 16

x = 26

x≡4(mod11)

(x-4) is divided by 11

So, x = 15

x≡0(mod7)

(x-0) is divided by 7.

So, x=7

So smallest possible coin is 7.

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The probability of given data is that it is actually going to rain in Seattle with value of  0.4706 approximately.

Firstly, denote the variables to the events: R: It is actually raining in Seattle. U: Your umbrella is with you. F1: Your first friend says it is raining. F2: Your second friend says it is raining. F3: Your third friend says it is raining.

We want to find the probability of R given that F1, F2, and F3 all say it is raining. Using Bayes' theorem, we have:

P(R | F1F2F3) = P(F1F2F3 | R) * P(R) / P(F1F2F3)

The denominator, P(F1F2F3), can be calculated using the law of total probability as follows:

P(F1F2F3) = P(F1F2F3 | R) * P(R) + P(F1F2F3 | R') * P(R')

where R' represents the event that it is not raining in Seattle. Since the probability of raining in Seattle is 0.1,

we have P(R) = 0.1 and P(R') = 0.9.

To calculate the probabilities of the events involving your friends' responses, we can use the following table:

Event Probability

F1         2/3 if R, 1/3 if R'

F2         2/3 if R, 1/3 if R'

F3         2/3 if R, 1/3 if R'

If it is raining, each friend will tell you the truth with probability 2/3, and if it is not raining, they will lie with probability 2/3. Therefore, we have:

P(F1F2F3 | R) = (2/3)^3 = 8/27

P(F1F2F3 | R') = (1/3)^3 = 1/27

Substituting these values into the equation, we get:

P(R | F1F2F3) = (8/27 * 0.1) / [(8/27 * 0.1) + (1/27 * 0.9)]

= 8/17

≈ 0.4706

Therefore, given that all three of your friends say it is raining, the probability that it is actually raining in Seattle is approximately 0.4706 or 47.06%. This means it is better to bring an umbrella to be safe.

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Answer:

Around 52.94%

Step-by-step explanation:

We can use the percentage error formula, which is

\(\frac{|approx-exact|}{exact}\cdot100\).

The approximated value was 8, however the exact value was 17, so we can substitute inside the equation.

\(\frac{|8-17|}{17}\cdot100 \\\\\frac{|-9|}{17}\cdot100 \\\\\frac{9}{17}\cdot100 \\\\0.5294...\cdot100 \\\\52.94\)

Hope this helped!

A solid shape is considered to be regular if all of its faces are congruent, meaning they have the same shape and size. In the context of three-dimensional shapes, there are several examples of regular solid shapes, including the cylinder, cube, and cuboid.

A) Cylinder: A cylinder is a solid shape with two parallel, congruent circular bases connected by a lateral surface. All of the lateral faces of a cylinder are parallelograms, and the circular bases have the same shape and size, making the cylinder a regular solid shape.

B) Cube: A cube is a regular solid shape with six congruent square faces. All of the faces meet at right angles, and each face is parallel to the opposite face, making the cube a regular solid shape.

C) Cuboid: A cuboid is a solid shape with six rectangular faces. The opposite faces of a cuboid are congruent rectangles, and all of the faces meet at right angles, making the cuboid a regular solid shape.

In conclusion, the cube and the cuboid are regular solid shapes because all of their faces are congruent, while the cylinder is a regular solid shape because all of its lateral faces are congruent parallelograms and its bases have the same shape and size. These regular solid shapes are useful in geometry and provide a foundation for understanding the properties of more complex solid shapes.

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To find the area, Min needs to use the formula for the area of a circle, which is given by A = πr^2, where A represents the area and r represents the radius. Answer :  the correct approach is to multiply 9.42 by π to find the area of the circle.

Min already knows that πr = 9.42 centimeters. Now, let's consider the options you provided:

1. Multiply 9.42 by 2: This will give Min the value of 18.84, which is not directly related to the area of the circle.

2. Multiply 9.42 by π: This is the correct approach. Multiplying 9.42 by π will give Min the approximate value of the radius squared. The result will be the area of the circle, assuming the radius is correctly determined.

3. Divide 9.42 by 2 to find the radius, then square the radius: This approach assumes that the value of 9.42 represents the diameter of the circle rather than the circumference. However, since the formula given is πr = 9.42, it indicates that the value represents the circumference rather than the diameter. Hence, dividing it by 2 would give the radius, but squaring it would not yield the correct area.

4. Divide 9.42 by π to find the radius, then multiply 9.42 by the radius: This approach is incorrect because dividing 9.42 by π would give Min the radius, but multiplying 9.42 by the radius would not give her the area. Instead, she needs to multiply the radius by itself (square it) to find the area.

Therefore, the correct approach is to multiply 9.42 by π to find the area of the circle.

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Answer:

a

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

Red + blue marbles/ Total marbles

A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland.

An Atlantic Ocean hurricane or a northern Pacific Ocean hurricane is a tropical storm. In most years, hurricanes develop between June 1 and November 30. The Taino Indian word "hurakan," which means "god of wind," is where the word "hurricane" originates.

A hurricane is a big rotating storm system that develops over warm ocean waters and usually travels westward toward the American mainland. Depending on the maximum sustained wind speeds, hurricanes are either classed as tropical storms or hurricanes. Hurricanes have winds of 74 mph or more, whereas tropical storms have winds of 39 to 73 mph.

The hurricane's eye, which is a calm, clear region encircled by powerful winds, is the most hazardous component of the storm. The hurricane's eye, which can be up to 30 miles across, frequently experiences the storm's greatest rains and highest winds.

A hurricane's landfall can result in flooding from storm surges, strong winds, and heavy rains. The increase in sea level that happens as a cyclone nears land is known as a storm surge. Along with coastal locations, this increase in water level has the potential to inflict significant harm and flooding.

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In general, the tallest and shortest plant heights can vary widely depending on the species of plant being considered.

For example, some species of trees can grow over 300 feet tall, while certain species of mosses may only grow a few millimeters in height. The specific environmental conditions, such as the availability of water, sunlight, and nutrients, can also impact the growth and height of plants. Therefore, without more specific information, it is difficult to provide a more precise answer.

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Answer: m = 24

Step-by-step explanation:

The right side of the table is the x value, and the left side is the y value.

Pick two points, I will pick (1,35) and (3,83).

Once you pick the points, input them in the rise over run formula:

y2-y1/x2-x1

83-35/3-1 = 48/2 = 24

In the JK Flip-Flop truth table, when both inputs of the JK Flip-Flop are set to 1 and the clock input is also set to "High," the circuit is toggled from the SET to the RESET state.

Similar in operation to the SR flip flop is the JK flip flop. The JK flip flop is marked with the letters "J" and "K" rather than "S" and "R." When both inputs are set to 1, SR flip flips yield incorrect states as outputs, while JK flip flops do not, even when both "J" and "K" flip flops are set to 1. The only distinction between JK and SR flip flops is this. The JK Flip Flop is an additional clock input circuitry-equipped gated SR flip-flop. The presence of a clock input circuit prevents the invalid or unlawful output situation from occurring when both inputs are set to 1. The JK flip-flop hence has four input combinations that are possible: 1, 0, "no change," "toggle," and With the exception of the clock input, the JK flip flop's symbol is identical to that of the SR bistable latch.

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Answer: 17

Explanation

P-5=12

Transpose 5 to the other side

It will become +5 after transposing becuase it was -5 before transposing

P=12+5

P=17

PLSSS MARK AS BRAINLIEST

Answer:

1) 8

2) 6

3) 7

4) 0

5) 5

6) 1

7) 3

8) 2

9) -14

10) 12

11) -9

12) -6

13) -11

14) 1

15) -6

16) -12

17) -1/2

18) 9/11

19) 7/13

20) 9/7

21) -5/13

22) -13/25

Step-by-step explanation:

Answer:

To reduce bias when estimating mean commuting time

Step-by-step explanation:

Given that the selection of adults is based on the three strata found in the region; urban, suburban, and rural areas where the population and proportion of adults commuting to work is progressively decreasing, using a uniform number or sample size will not increase sample error as there are more commuters in the urban areas than in the suburban or rural areas, likewise, there are more commuters in the suburban area than in the rural areas, and as such the proportion of those sampled in the urban  areas should be more than those surveyed in the suburban while those surveyed in the suburban areas should be more than those surveyed in the rural areas to reduce bias when estimating the mean as there will be more general representation.

A right circular cylinder with the largest volume that can fit within a sphere with a 10 cm radius will have a maximum radius of 8.165 cm and a maximum height of 11.55 cm. Additionally, the largest volume is 2417.82 cm³.

A cylinder is a three-dimensional solid in mathematics that maintains, at a given distance, two parallel bases connected by a curving surface. These bases often have a circular form (like a circle), and a line segment known as the axis connects the centers of the two bases. The height of the cylinder is "h," while the radius of the cylinder is "r," measuring the distance from the axis to the outside surface.

Here,

radius=10 cm

r²+h²/4=10²

r²=10²-h²/4

volume=πr²h

=π(10²-h²/4).h

V=π(10²h-h³/4)

dV/dh=π(10²-3h²/4)

dV/dh=0

10²=3h²/4

10²*2²/3=h²

20/√3=h

h=11.55 cm

r²=10²-h²/4

=10²-(10²*2²/3)/4

r²=(100-400/12)

r²=100-33.33

r²=66.67

r=√66.67

r=8.165 cm

volume=πr²h

=3.14*8.165*8.165*11.55

volume=2417.82 cm³

The dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 10 cm will be 8.165 cm radius and 11.55 cm height. Also the maximum volume is 2417.82 cm³.

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Answer:

x= −5

Step-by-step explanation:

Answer:

x = -5

Step-by-step explanation:

\(3x+7=-8\\3x=-15\\x=-5\)

The solution of the differential equation is:

y=(17/8)[52x2−8ln|x2+1|]+9.

Initial equation:5x−8yx2+1dxdy=0

Separating the variables,

5x−8yx2+1dy=0dyy=5x−8yx2+1dy

Integrating both sides

∫dy=y=c∫(5x−8yx2+1)dx

We need to calculate the integration of

5x−8yx2+1dx,

let's do that,∫(5x−8yx2+1)dx=52x2−8ln|x2+1|+C

Putting the above integration value in the equation

∫dy=y=c[52x2−8ln|x2+1|+C]

General solution to differential equation is, y=c[52x2−8ln|x2+1|] + C

We know that y(0)=9 which is the initial condition.

We can substitute this condition to find the value of C.

9=c[52(0)2−8ln|0+1|] + C

9=c[-8] + C9+8c=Cc=17/8

Therefore, the final solution of the differential equation is: y=(17/8)[52x2−8ln|x2+1|]+9.This is the required solution of the separable differential equation 5x−8yx2+1dxdy=0 subject to the initial condition y(0)=9.

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Answer:

it's 13 cm. its no that hard

a) Contribution (objective value) = $132.14

b) The firm earns $132.14 at the optimal solution.

c) An additional hour of time available for the third machine is worth $0.14 to the firm.

d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.

The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71

b) The number of unused hours at the ideal solution is:

Machine 1 still has 8.57 hours of time left.

There are no hours left on Machine 2 at the moment.

There are still 94.29 hours left on Machine 3.

c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is

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Answer:x=1, y=2, z=-1

Step-by-step explanation:

x = 1; y = 2; z = -1

This involves solving simultaneous equations using elimination method.

x + y - 2z = 5  - - - (eq 1)

-x + 2y + z = 2 - - - (eq 2)

2x + 3y – z = 9 - - - (eq 3)

x + y - 2z = 5  - - - (eq 4)

-3x + 6y + 3z = 6 - - - (eq 5)

2x + 3y – z = 9 - - - (eq 6)

Add eq 4, 5 & 6 together to get;

10y = 20

y = 20/10

y = 2

-x - y + 2z = - 5  - - - (eq 7)

-x + 2y + z = 2 - - - (eq 8)

2x + 3y – z = 9 - - - (eq 9)

Add eq 7, 8 and 9 together to get;

4y + 2z = 6

From earlier, we saw that y = 2. Thus;

4(2) + 2z = 6

8 + 2z = 6

2z = 6 - 8

2z = -2

z = - 2/2

z = - 1

Putting -1 for z and 2 for y into;

x + y - 2z = 5  

Gives; x + 2 - 2(-1) = 5

x + 4 = 5

x = 5 - 4

x = 1

Thus; x = 1; y = 2; z = -1

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The net sales in the department during the month of april is $15960.

Sell-thru perecentage rate = Units sold / Units recieved

In our case:

Net sales = (Sell-thru rate)*(opening inventory)

Net sales = (0.28)*($57000)

= $15960

Net sales refer to the total amount of revenue generated by a company from its primary business operations, minus any returns, allowances, and discounts. This figure reflects the actual revenue earned by a company after accounting for any deductions and is a critical metric for evaluating the financial performance of a business.

Net sales are reported on a company's income statement and are a key component of the top line, which also includes other sources of revenue, such as interest income or gains from the sale of assets. Understanding a company's net sales is essential for assessing its growth potential, profitability, and overall financial health. Investors, creditors, and other stakeholders use net sales as a metric to evaluate a company's ability to generate revenue from its core operations, as well as its ability to compete effectively in its industry.

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