Which of the following graphs represents the equation y- 4 = 3(x - 1)?

A. Graph A
B. Graph B
C. Graph C
D. Graph D

The probability of event A and event B is 6.

Given that, P(A)=6, P(B)=20 and P(A∩B)=6.

P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.

P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10

We know that, P(A and B)=P(A/B)×P(B)

= 3/10 × 20

= 3×2

= 6

Therefore, the probability of event A and event B is 6.

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Answer:

y=1/2x+1/2

Step-by-step explanation:

please mark brainliest!

Answer: Rotation 180° about the origin

Step-by-step explanation:

If I were required to survey Fresno City College students regarding their employment status, I would use a stratified random sampling technique.

Stratified random sampling involves dividing the population into subgroups, or strata, based on certain characteristics that are relevant to the survey. In this case, the relevant characteristic is employment status. The population consists of all Fresno City College students, and the two strata are employed and unemployed students.

Once the population has been divided into strata, a random sample is taken from each stratum. The sample size for each stratum is proportional to the size of the stratum in the population. For example, if 60% of Fresno City College students are employed, then 60% of the sample should consist of employed students.

Using a stratified random sampling technique ensures that the sample is representative of the population and that each subgroup is represented in the sample. It also reduces sampling error and increases the precision of the estimates.

The dimensions of the least expensive can are: height = 4/(πr^2) = ∞, radius = 0, and the top and bottom are flat disks.

For the dimensions of the least expensive can, we will first express the volume and surface area in terms of the radius and height, and then minimize the cost function using calculus. Let r be the radius and h be the height of the can.

1. Volume (V) = πr^2h = 4 cubic inches (given)
2. Surface area (A) = 2πrh (side) + 2πr^2 (top and bottom)

Since the cost per square inch of constructing the metal top and bottom is twice the cost per square inch of constructing the cardboard side, let's denote the cost per square inch of the side as c. Then, the cost per square inch of the top and bottom is 2c.

Cost (C) = c(2πrh) + 2c(2πr^2) = 2cπr(2r + h)

Now, we need to eliminate one of the variables, either r or h. From the volume equation, we can express h in terms of r:
h = 4/(πr^2)

This tells us that A = 0, which doesn't make sense. So we can conclude that A should be as small as possible, which means it should be 0. This makes the top and bottom of the can flat, so they don't contribute to the cost of construction.

Now we can minimize the cost with respect to r. To do this, we take the derivative of Cost with respect to r and set it equal to 0:

d(Cost)/dr = -8C/r^2 = 0

Substitute this expression for h in the cost equation:

C = 2cπr[2r + (4/(πr^2))]

To minimize the cost, we will find the derivative of C with respect to r and set it to 0:

dC/dr = 2cπ[2 - (8/r^3)] = 0

Now, solve for r:

2 - (8/r^3) = 0
2 = 8/r^3
r^3 = 4
r = ∛4

Now, find the height (h) using the volume equation:

h = 4/(π(∛4)^2)
h = 4/(4π)

The dimensions of the least expensive can are:
Radius (r) = ∛4 inches
Height (h) = 4/(4π) inches

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.

Step-by-step explanation:

Answer:Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .

Step-by-step explanation:

The value of a and b is 1.

The probability that Nate places the disk so that it is touching an equal number of shaded and unshaded squares is ab, where a and b are integers.

To find the value of a and b, we need to determine the total number of ways Nate can place the disk (the denominator of the probability fraction) and the number of ways he can place the disk so that it touches an equal number of shaded and unshaded squares (the numerator of the probability fraction).

Since the center of the circle must be at the meeting point of four squares, the only possible places for the center are the points where four squares meet. Since the grid is made of 2 cm x 2 cm squares, there are 4 shaded squares and 4 unshaded squares. So, there are 4 centers that could be placed on a shaded square and 4 centers that could be placed on an unshaded square.

So the denominator of the probability fraction is 8.

Now, to calculate the numerator, we need to determine the number of ways Nate can place the disk so that it touches an equal number of shaded and unshaded squares.

As the center of the circle is at the meeting point of four squares, the center of the circle is placed at the intersection of 2 shaded and 2 unshaded squares.

So, the numerator of the probability fraction is 8.

Therefore, the probability that Nate places the disk so that it is touching an equal number of shaded and unshaded squares is 8 ÷ 8 =1.

So the value of a and b is 1.

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Answer:

x = 2, y = 0

Step-by-step explanation:

Given the 2 equations

8x - 4y = 16 → (1)

8x + 4y = 16 → (2)

Add the 2 equations term by term to eliminate y

16x + 0 = 32

16x = 32 ( divide both sides by 16 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (2)

8(2) + 4y = 16

16 + 4y = 16 ( subtract 16 from both sides )

4y = 0 , then

y = 0

Answer:

5 or C

Step-by-step explanation:

when you plug in 5, you get -24 as the cost. Then you take that number with the amount of money you make selling 5 flowers and that would be $50 since they are $10/per bouquet. Then when you subtract you get a positive profit of $26.

Answer:

5

Step-by-step explanation:

For profit to be had, the selling price (represented by $10x, x being number of bouquets sold) must be greater than the cost to produce (here, -x^4 + 3x^3 + 5x^2 + 20x +1).

Set up an inequality such that 10x is greater than the cost to produce.

10x > -x^4 + 3x^3 + 5x^2 + 20x + 1

-Solving the inequality by subtracting 10x from both sides, we have:

0 > -x^4 + 3x^3 + 5x^2 + 10x + 1

-Using a graphing calculator, (the one they give you on Edgenuity) graph the new function and look for where the graph is below the x axis. (y is less than 0)

Looking at the graph, we see that when x is greater than 0, (you can't sell a negative amount of bouquets) y is greater than 0 up until x = 4.579. After 4.579, the y values become negative. (what we want to be looking at according to the inequality.)

You can't sell 4.579 bouquets, and even if you could, you'd be breaking even, with y=0. The answer isn't 4, because according to the graph and inequality, y would be greater than 0 (making the inequality false). Because of this, we have to find the next whole positive number that would make the inequality true, and that is 5.

The number of cups of rice the restaurant would need for 20 cups of veggies is 5.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

The recipe calls for 1/4 cup of rice for every 1 cup of veggies.

Now,

1cup veggie = 1/4 cup rice

20cup veggies= 1/4 * 20 cup rice

=5

Therefore, by algebra the count of cups of rice will be 5.

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In the function call split_check(60.52, 5, .07, tip_percentage), the value passed as the tax_percentage argument is 0.07. This indicates that the tax rate applied to the total bill is 7%.

The function split_check() is being called with four arguments: 60.52, 5, 0.07, and tip_percentage. The tax_percentage argument is the third argument in the function call, and its value is 0.07.

The tax_percentage parameter is used within the function to calculate the tax amount based on the total bill. In this case, since the tax_percentage is 0.07, it means that the tax rate is 7%. The function will use this tax rate to calculate the tax amount by multiplying the total bill by the tax percentage.

For example, if the total bill is $60.52, the function will calculate the tax amount as 0.07 * 60.52 = $4.23. This tax amount will be deducted from the total bill before splitting it among the specified number of people.

In summary, the tax_percentage argument of 0.07 indicates a tax rate of 7% applied to the total bill in the function call split_check(60.52, 5, 0.07, tip_percentage).

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The first five term of the sequence is as follows:

A sequence is an ordered list of numbers . Therefore,

where

n = number of term

let's find the first 5 term as follows:

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The  probability that between 78% and 86% were non-teacher workers from private schools is 0.7689

Eighty-four percent of non-teacher workers were employed in private schools.

p = 0.84

q = 1 - p = 1 - 0.84 = 0.16

if a random sample of 200 non-teacher workers from private schools was selected

We need to find the  probability that between 78% and 86% were non-teacher workers from private schools.

n = 200

μρ = 0.84

αp = √(p(1 - p)/n) = √(0.84(0.16)/200) = 0.026

P(0.78 < P < 0.86) = P((0.78 - 0.84)/0.026 < (p - μp)/σp < (0.86 - 0.84)/0.026)

= P(-2.31 < z < 0.77)

= P(z < 0.77) - P(z < -2.31)

using z table

0.7794 - 0.0103

= 0.7689

Therefore, the  probability that between 78% and 86% were non-teacher workers from private schools is 0.7689.

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The negative sign indicates that the power is flowing in the negative x-direction.

To solve this problem, we can use the relationships between the electric field (E), magnetic field (H), and power density (P) in electromagnetic waves.

Given:

Incident H field phasor: H = ay8e30x (A/m)

Relative electrical permittivity of the dielectric medium: εr = 4

Boundary surface area radius: r = 60 cm = 0.6 m

We'll go through each part of the problem step by step:

a) Electric field phasor:

The relationship between the electric field and magnetic field in a plane wave is E = (1/η) x H, where η is the intrinsic impedance of the medium.

The intrinsic impedance of a dielectric medium is given by η = η0/√εr, where η0 is the impedance of free space (approximately 377 Ω).

Substituting the values, we have:

η = η0/√εr = 377/√4 = 188.5 Ω

Thus, the electric field phasor is:

E = (1/η) x H = (1/188.5) x (ay8e30x) = (ay4.22e-2x) V/m

b) Average incident power density vector:

The average power density (P) of an electromagnetic wave is given by P = (1/2)Re(E x H*), where H* denotes the complex conjugate of H.

Taking the real part, we have:

P = (1/2)Re(E x H*) = (1/2)Re[(ay4.22e-2x) x (ay8e30x)*]

= (1/2)Re[(-32.16ae28x)] = -16.08e28x W/m²

The negative sign indicates that the power is flowing in the negative x-direction.

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       For C1(Q) = 3 - 2Q.

        For C2(Q) =  4.

     2. The AVC function

           For C1(Q) = 5/Q + 3 + 20/Q - Q.

           For C2(Q) = 3/Q + 4 + 2/Q.

     3. The AFC function

              For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)

              For C2(Q) = 0.

     4.  To find the AC function

        For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

         For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

    5.To find the ATC function

    For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)

     For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

1. To find the MC function, we take the derivative of the cost functions with respect to Q.

For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.

For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.

2. To find the AVC function, we divide the cost functions by Q.

For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.

For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.

3. To find the AFC function, we subtract the AVC function from the ATC function.

For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)

= 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.

4. To find the AC function, we add the AVC function to the AFC function.

For

C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

5. To find the ATC function, we divide the AC function by Q.

For

C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q

= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).

For

C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q

= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

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Answer:

where is the question

Step-by-step explanation:

ok

Answer:

alternate exterior angles

Step-by-step explanation:

so are 2 & 8

The equation of the circle of radius 4 and center at (-1, 1) is given as follows:

\((x + 1)^2 + (y - 1)^2 = 16\)

The equation of a circle of center \((x_0, y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

In this problem:

Hence, the equation is given as follows:

\((x - (-1))^2 + (y - 1)^2 = 4^2\)

\((x + 1)^2 + (y - 1)^2 = 16\)

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\(cos^2(x) = cos^2(x)\).

This equation is true for all values of x, so the solution is:
x ∈ ℝ (x is any real number).

To solve the equation\(cos^2(x)\)= (power reducing formula),

we need to replace \(cos^2(x)\) with the power reducing formula.

The power reducing formula for \(cos^2(x)\) is:
\(cos^2(x) = (1 + cos(2x)) / 2\)
Now, let's solve the equation:
\((1 + cos(2x)) / 2 = cos^2(x)\)
We want to find x when this equation is true.

Since the left side is the power reducing formula for \(cos^2(x)\),

we can simply write:
\(cos^2(x) = cos^2(x)\).

The power reducing formula is a trigonometric identity that allows you to express a trigonometric function of a higher power in terms of a trigonometric function of a lower power.

It is most commonly used for reducing the power of the sine and cosine functions.

The power reducing formula for cosine is:

\(cos^2(x) = (1 + cos(2x))/2\)

The power reducing formula for sine is:

\(sin^2(x) = (1 - cos(2x))/2\)

These formulas can be derived using the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1.\)

By solving for either \(sin^2(x) or cos^2(x)\) in terms of the other, and then using the double angle formula for cosine \((cos(2x) = cos^2(x) - sin^2(x)),\)we can arrive at the power reducing formulas.

The power reducing formulas can be used to simplify trigonometric expressions and make them easier to work with.

For example, if you have an expression such as \(sin^4(x)\), you can use the power reducing formula for sine to express \(sin^4(x)\) in terms of \(sin^2(x),\)and then use the power reducing formula for cosine to express \(sin^2(x)\)in terms of cos(2x).

This can make the expression simpler and easier to integrate or differentiate.

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The surface given by the equation \(4x^2 - 16y^2 + z^2 = 16\) is a hyperboloid of two sheets. It consists of two distinct surfaces that intersect along the z-axis and open upwards and downwards.

To identify the surface defined by the equation \(4x^2 - 16y^2 + z^2 = 16,\) we can analyze the equation and determine its geometric properties.

First, let's rewrite the equation in a standard form:

\(4x^2 - 16y^2 + z^2 = 16\)

By rearranging terms, we have:

\((x^2/4) - (y^2/1) + (z^2/16) = 1\)

Comparing this equation to the standard form of a hyperboloid, we can see that the x and z terms have positive coefficients, while the y term has a negative coefficient. This indicates that the surface is a hyperboloid of two sheets.

The trace of the surface can be obtained by setting one variable constant and examining the resulting equation. Let's consider the traces in the xz-plane (setting y = 0) and the xy-plane (setting z = 0).

When y = 0, the equation becomes:

\(4x^2 + z^2 = 16\)

This represents an ellipse in the xz-plane centered at the origin, with the major axis along the x-axis and the minor axis along the z-axis.

When z = 0, the equation becomes:

\(4x^2 - 16y^2 = 16\)

This represents a hyperbola in the xy-plane centered at the origin, with the branches opening along the x-axis and the y-axis.

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identify the surface from the following equation \(4x^2-16y^2 z^2=16\)

The smallest unit of liquid volume in the apothecary system is the minim.  It is important to note that the apothecary system can be confusing and is not always easily converted to other systems of measurement

The apothecary system is a historical system of measurement used in pharmacy and medicine. In this system, the minim is the smallest unit of liquid volume, equivalent to approximately one drop.

The apothecary system is a system of measurement that was commonly used in pharmacy and medicine in the past. While it has largely been replaced by the more standardized metric system, it is still occasionally used in some areas. In the apothecary system, the smallest unit of liquid volume is the minim. This unit is equivalent to approximately one drop of liquid. Other units of liquid volume in the apothecary system include the fluid dram (equivalent to approximately 60 minims), the fluid ounce (equivalent to approximately 8 fluid drams), and the pint (equivalent to approximately 16 fluid ounces).. For this reason, it is becoming increasingly rare to see it used in modern medicine and pharmacy, and most healthcare professionals use the metric system for dosing and measuring medications.

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Answer:

x = 5

Step-by-step explanation:

If it's a number by itself then that's right cuz JNM and KNL is equal, so u do 4x + 6 = 7x - 21. When u do that, u get x = 5.

The equation of the perpendicular line in slope intercept form is

y = (-3/4)x - 9/4.

The slope is defined as the rate of change of the y-axis with respect to

x-axis.

We know equation of a line in slope intercept form is y = mx + b, where slope = m and y-intercept = b.

We also know that perpendicular lines have a slope that is negative reciprocal of each other.

Given line is 8x - 6y = -5.

-6y = - 8x - 5.

-y = (-8/6)x - 5/6.

-y = (-4/3)x - 5/6.

y = (4/3)x + 5/6.

∴ Slope(m) = 4/3.

So, the line which is perpendicular has a slope(m) = -3/4 with points (1,-3).

∴ - 3 = (-3/4)(1) + b.

- 3 = -3/4 + b.

b = 3/4 - 3.

b = -9/4.

∴ The equation of the line is y = (-3/4)x - 9/4.

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Answer:

850 !!

Step-by-step explanation:

Answer: 8.5 as a percentage :

=8.5 * 100 = 850%

Step-by-step explanation: to convert from decimal to percent, just multiply the decimal value by 100

Answer:

63,360

Step-by-step explanation:

Add and multiply

Answer: 200

Step-by-step explanation: cross multiply then divide

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

If 72 questions are 36%.

36% = 72

100% = 200

The total number of questions on the final exam is 200.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Number of questions correctly answered = 72

Percentage earned = 36%

This can be written as:

36% = 72

Now,

The total number of questions correctly answered will earn 100%.

This can be written as:

36% = 72

Multiply both sides by 100/36.

100/36 x 36% = 100/36 x 72

100% = 200

This means,

The total number of questions is 200.

Thus

If 72 questions are 36%.

The total number of questions on the final exam is 200.

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