pizza pies charges $12 for a medium pizza and an additional $0.50 for each topping. using the information, identify the independent variable and dependent variable from each drop down.

From the image given, we see that we are to find the angle of arc WX.

We can also see that and angle S is formed due to the intersection of secants outside the circle.  We will then use intersecting secants theorem to solve the question.

Using above theorem, we can set an equation to find the measure of arc  WX as:

∠S = (major arc - minor arc)/2

Where our minor arc is WX, with our major arc being given as 114. From the diagram, we see that S is 41. so we have

41 = (114 - WX)/2

41 * 2 = 114 - WX

82 = 114 - WX

WX = 114 - 82

WX = 32

Therefore, we conclude that the answer is option C, 32

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Answer:

Question 2: 6x-21

Question 1: -9x+3

Step-by-step explanation:

Answer:

C is the correct answer

Step-by-step explanation:

it is geometric  sequence

r=6/8=4.5/6=3/4

By using this equation:

a(n)=a*r^(n-1)

and we have a=8 , r=3/4

Then       a(n)=8*(3/4)^(n-1) ⇒(C)

hope this helps

Explicit rule for this sequence is an = 8 • (3/4)^n-1

Explicit formulas are helpful to represent all the terms of a sequence with a single formula.

Given a sequence: 8, 6, 4.5, 3.375, ...

We have, 6/8=4.5/6=3.375/4.5 = 0.75 = 3/4

Therefore, the sequence is a geometric sequence,

r=6/8=4.5/6=3/4

By using this equation:

a(n) = a*r^(n-1)

we have a=8, r=3/4

a(n)=8*(3/4)^(n-1)

Hence, the explicit rule for this sequence will be an = 8 • (3/4)^n-1

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Answer:

x = -2

Step-by-step explanation:

5x - 5 = 9x + 3

- 5 = 4x + 3

- 8 = 4x

- 8/4 = 4x/4

x = -2

The number of bits transferred or received per unit of time is referred to as the "bit rate."

The term "bit rate" refers to the rate at which bits of data are transferred or received in a given unit of time. It measures the speed or capacity of a digital communication channel to transmit information.

Bit rate is typically expressed in bits per second (bps) or multiples thereof, such as kilobits per second (Kbps) or megabits per second (Mbps). It represents the amount of data that can be transmitted or received in a specific timeframe.

For example, a bit rate of 1 Mbps means that one million bits can be transferred or received in one second. Higher bit rates indicate a faster data transmission or reception capability.

Bandwidth, on the other hand, refers to the capacity of a communication channel to carry data and is typically measured in hertz (Hz). It represents the range of frequencies that can be transmitted through the channel.

Wireless fidelity (Wi-Fi) is a technology standard that enables wireless local area networking. While Wi-Fi can be used to transmit data wirelessly, the specific term for the rate at which data is transferred or received is still referred to as the "bit rate."

In summary, the term "bit rate" accurately describes the number of bits transferred or received per unit of time in a digital communication system.

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Is that the entire question....

Answer:

\(\frac{12-6x}{5}\)

Step-by-step explanation:

Answer:

x = 1, y = 6

Step-by-step explanation:

y = 6x

2x + 3y = 20

Plug y as 6x in the second equation and solve for x.

2x + 3(6x) = 20

2x + 18x = 20

20x = 20

\(\frac{20x}{20}= \frac{20}{20}\)

x = 1

Plug x as 1 in the first equation and solve for y.

y = 6(1)

y = 6

Answer:

y=6 , x=1

Step-by-step explanation:

y=6x

2x+3y=20

Substitute 6x into y because y=6x.

2x+3(6x)=20

2x+18x=20

20x=20

x=1

Then subsitiute 1 into the first equation in x value

y=6(1)

y=6

=====================================================

Work Shown:

A = 18 take bio

B = 13 take Spanish

C = 5 take both

A+B-C = 18+13 - 5 = 26 students total

------------------------------

Another approach:

18 take bio and 5 take both, so 18-5 = 13 take bio only

13 take Spanish and 5 take both, so 13-5 = 8 take Spanish only

We then have 13+8+5 = 26 students

Both methods only work when each student is in either bio, Spanish, or both. We cannot have a student who is in neither class.

True. The correlation coefficient (r) must also be positive, indicating a strong positive linear relationship between the two variables.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfectly negative linear relationship, a value of 1 indicates a perfectly positive linear relationship, and a value of 0 indicates no linear relationship.  If the slope (b) of ŷ is positive, it means that as the independent variable increases, the dependent variable also increases.

In addition to the above explanation, it is important to note that while a positive slope (b) of ŷ indicates a positive linear relationship between two variables, it does not necessarily mean that the correlation coefficient (r) will always be positive. For example, if there is a weak positive linear relationship between two variables, the correlation coefficient (r) may still be positive but not as strong as if there was a strong positive linear relationship. Similarly, there may be situations where the correlation coefficient (r) is positive but the slope (b) of ŷ is not positive, such as in a curvilinear relationship where the relationship between the two variables is not linear.

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The Poisson distribution is applied to events where the probability of occurrence of a certain number of events in a fixed interval of time, space, or distance is small but not necessarily "very small". False.

The Poisson distribution is used to model events that occur randomly and independently over a continuous or discrete interval of time, space, or distance, such as the number of phone calls received at a call center in an hour, the number of cars passing through a toll booth in a given time period, or the number of emails received per day. The Poisson distribution is characterized by a discrete probability mass function that describes the probability of a certain number of events occurring in a given interval, and it is widely used in probability theory and statistics for modeling events with low to moderate occurrence rates.

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The poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is very small.

Given statement is False.

Because, The Poisson distribution is applied to events for which the probability of occurrence over a given span of time, space, or distance is not necessarily very small, but rather where the events occur randomly and independently at a constant average rate.

The Poisson distribution models the number of events that occur in a fixed time interval or within a certain area or volume of space, assuming that the events occur independently of each other and at a constant average rate. It is used in many fields, such as biology, physics, economics, and engineering, to model the occurrence of rare or common events.

The Poisson distribution has several important properties, including:

Its mean is equal to λ, and its variance is also equal to λ.

It is a discrete distribution, meaning that it models only whole numbers of events.

It is often used to model rare or unusual events, but can also be used for events that occur frequently, as long as they occur independently at a constant average rate.

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Answer:

3 and 4

Step-by-step explanation:

By applying the distributive property of multiplication, the students that are correct in their approach to solving the problem are: Nico, Raj and Sandra.

In order to open the bracket and isolate the variable x, we would first of all multiply both sides by 5/2 as follows:

2/5(5 + x) = 8

Multiplying both sides by 5/2, we have:

5/2 × 2/5(5 + x) = 8 × 5/2

5 + x = 40/2

5 + x = 20

Subtracting 5 from both sides, we have:

5 + x - 5 = 20 - 5

x = 15

In order to open the bracket and isolate the variable x, we would first of all multiply both sides by 1/2 and then 5 as follows:

2/5(5 + x) = 8

Multiplying both sides by 1/2, we have:

1/2 × 2/5(5 + x) = 8 × 1/2

1/5(5 + x) = 4

Multiplying both sides by 5, we have:

5 × 1/5(5 + x) = 4 × 5

5 + x = 20

Subtracting 5 from both sides, we have:

5 + x - 5 = 20 - 5

x = 15

In order to open the bracket and isolate the variable x, we would apply the distributive property of multiplication:

2/5(5 + x) = 8

2/5 × 5 + 2/5 × x = 8

2 + 2x/5 = 8

Subtracting 2 from both sides, we have:

2 - 2 + 2x/5 = 8 - 2

2x/5 = 6

Multiplying both sides by 5/2, we have:

5/2 × 2x/5 = 5/2 × 6

x = 30/2

x = 15.

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The derivative of t^4*r1(t) is (6t^5, 9t^6, t^4 + 4t^3).

To evaluate the derivative of r1(t).r2(t) using the Product Rule, we first need to find the derivatives of r1(t) and r2(t) separately. The derivative of r1(t) is (2t, 3t^2, 1) and the derivative of r2(t) is (0, 0, e^t). Now we can apply the Product Rule, which states that the derivative of two functions multiplied together is the first function times the derivative of the second function plus the second function times the derivative of the first function. So the derivative of r1(t).r2(t) is:

d/dt (r1(t).r2(t)) = r1(t) * (0, 0, e^t) + r2(t) * (2t, 3t^2, 1)

= (0, 0, t^2*e^t) + (2t*e^3, 2t*e^2, 2t*e^t)

= (2t*e^3, 2t*e^2, t^2*e^t + 2t*e^t)

20. Similarly, to evaluate the derivative of t^4*r1(t) using the Product Rule, we first need to find the derivatives of t^4 and r1(t) separately. The derivative of t^4 is 4t^3 and the derivative of r1(t) is (2t, 3t^2, 1). Now we can apply the Product Rule:

d/dt (t^4*r1(t)) = t^4 * (2t, 3t^2, 1) + r1(t) * 4t^3

= (2t^5, 3t^6, t^4) + (4t^5, 6t^5, 4t^3)

= (6t^5, 9t^6, t^4 + 4t^3)

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Answer:

domain is -2,-1,0,1,and 2 which are under the x.

Answer:

Use a graphing calc.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

x = ± 3

Step-by-step explanation:

given y varies as \(\frac{1}{x^2}\) , then

y = k × \(\frac{1}{x^2}\) = \(\frac{k}{x^2}\) ← k is the constant of variation

to find k use the condition x = 2 , y = 1

1 = \(\frac{k}{2^2}\) = \(\frac{k}{4}\) ( multiply both sides by 4 )

4 = k

y = \(\frac{4}{x^2}\) ← equation of variation

when y = \(\frac{4}{9}\) , then

\(\frac{4}{9}\) = \(\frac{4}{x^2}\) ( cross- multiply )

4x² = 36 ( divide both sides by 4 )

x² = 9 ( take square root of both sides )

x = ± \(\sqrt{9}\) = ± 3

The rigid motion that verifies the congruence of two triangles using the Side-Angle-Side (SAS) criterion is the combination of a translation and a rotation.

To establish congruence between two triangles using the SAS criterion, we need to show that the triangles have two corresponding sides and the included angle equal in measure. This can be achieved through a specific rigid motion, which preserves the shape and size of the triangles.

The first step in the rigid motion is a translation. Translation involves moving the entire triangle along a straight line without altering its shape or size. By sliding one triangle along the plane, we can place the corresponding sides of the two triangles in the same position.

The second step is a rotation. A rotation is a transformation that turns the triangle around a fixed point, called the center of rotation. By rotating one triangle around its center, we can align the corresponding angles of the two triangles. By combining the translation and rotation, we ensure that the sides and the included angle of the two triangles match, verifying their congruence using the SAS criterion.

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Answer:

y = 9\(\sqrt{2}\) inches

Step-by-step explanation:

Since the base angles are congruent then the triangle is isosceles with both legs being equal.

Using Pythagoras' identity in the right triangle

y² = 9² + 9² = 81 + 81 = 162 ( take the square root of both sides )

y = \(\sqrt{162}\) = \(\sqrt{81(2)}\) = 9\(\sqrt{2}\)

Answer:

It is scalene and acute.

Step-by-step explanation:

Since it has all acute angles, it is an acute triangle, and since none of the sides are equal or congruent, it is scalene.

Answer:

The equation of a line can be represented in the slope-intercept form, y = mx + b, where m is the slope of the line and b is the y-intercept.

Given that the line has a slope of 5 and passes through the point (-1,1) we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1)

The point (-1,1) can be plugged into the equation:

y - 1 = 5(x + 1)

By simplifying and re-arranging the equation, we get:

y = 5x + 6

So the equation of the line that passes through the point (-1,1) and has a slope of 5 is: y = 5x + 6

Answer:

y = 5x+6

Step-by-step explanation:

Using the slope-intercept form of a line

y = mx+b  where m is the slope and b is the y-intercept

y = 5x+b

Substitute the point into the line.

1 = 5(-1) +b

1+5 = b

6=b

The equation is

y = 5x+6

Option A. AA Similarity Postulate. The AA Similarity Postulate is a geometric principle that states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

This means that their corresponding sides are in proportion, and the triangles have the same shape, but not necessarily the same size. This postulate is one of the ways to prove the similarity of two triangles. In the case of the given question, if we know that two angles of one triangle are congruent to the two angles of another triangle, then we can use the AA Similarity Postulate to prove that the triangles are similar. This principle is widely used in geometry and helps to establish relationships between different shapes and figures.

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Answer:

270

Step-by-step explanation:

The formula for finding the area of a triangle is base · height ÷ 2, or \(\frac{bh}{2}\)

After plugging in the numbers given to the formula, we find that the area of the triangle is 27.

Then to account for the length, we multiply the area of the triangle by 10.

This gets us to 270.

Answer:

The answer is option B!

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Equation for G, representing the number of gallons of gas left after ‘T’ hours will be: G = 12 - 2T

Let G be the total number of gallons of gas left

And t be the time in hours

Since, car uses 2 gallons of gas in  1 hours

Therefore, total gallons of gas used in 4 hours will be 2 x 4 = 8 gallons

Total gallons of gas left after 4 hours = 4 gallons

Therefore, total gallons of gas before embarking on a road trip = 8 + 4 = 12 gallons

In general from the unitary method, number of gallons of gas used in time ‘T’ will be 2T

Therefore, Total gallons of gas left = (Total gallons of gas embarked on a road trip) - ( Total gallons of gas used in the trip at time ‘T’ )

From the above conclusions, we can write

G = 12 - 2T

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Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The total displacement is 50 km

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

A car moved 30 km in the North- East direction, then moved 40 km due north.

This can be drawn as,

                                    B   Final point

                                     /  |

                                   /    |  (40 km)

                                /       |

                          A /          |

     Starting point    (30 km)

Displacement is the distance of AB.

Applying the Pythagorean theorem.

AB² = 40² + 30² = 1600 + 900 = 2500

AB = √2500 = 50

Thus,

The total displacement is 50 km

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The graph of the function f(x) = 5\((x-3)^{5/3}\) have a vertical asymptote at x = 3.  The correct answer is option (b) concave up on (-∞, ∞), no points of inflection.

The graph of the function f(x) = 5\((x-3)^{5/3}\) can be described as follows:

a) Concavity: The concavity of the graph refers to the shape of the curve. To determine the concavity, we need to analyze the second derivative of the function. Taking the derivative of f(x) twice, we get:

f'(x) = 5 * (5/3) * \((x - 3)^{(2/3)}\)

f''(x) = (25/9) *\((x - 3)^(-1/3)\)

The second derivative f''(x) is defined for all x except x = 3, where the denominator becomes zero. Therefore, we have a vertical asymptote at x = 3.

b) Points of Inflection: Points of inflection occur where the concavity changes. To find the points of inflection, we need to identify where the second derivative changes sign. Since f''(x) is always positive, there are no points of inflection in this case.

Based on the above analysis, the correct answer is option b) concave up on (-∞, ∞), no points of inflection. The graph is concave upward throughout the entire domain, and there are no points where the concavity changes (no points of inflection).

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The factor by which the volume will increase is 2.

To find the factor by which the volume will increase, we can use Boyle's Law, which states that at a constant temperature, the pressure and volume of a gas are inversely proportional. Mathematically, it can be expressed as:

\(P_1 \times V_1 = P_2 \times V_2\)

Where:

P₁ = initial pressure

V₁= initial volume

P₂ = final pressure (constant in this case)

V₂ = final volume (to be determined)

Since the pressure and temperature are constant, the equation simplifies to:

V₁ = V₂

Given that the initial moles of gas (n1) is 4 and the final moles of gas (n2) is 8, we can use the ideal gas law to find the relationship between volume and moles:

PV = nRT

Where:

P = pressure (constant in this case)

V = volume (initial and final, as they are equal)

n = number of moles

R = ideal gas constant

T = temperature (constant in this case)

Since the pressure and temperature are constant, the equation becomes:

V ∝ n

This means that the volume is directly proportional to the number of moles. If the number of moles doubles (from 4 to 8), the volume will also double.

Therefore, the volume will rise by a factor of 2.

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a) The set {1, 2, 3} does not represent vectors, but rather a collection of scalars. Therefore, there are no vectors in {1, 2, 3}.

b) The number of vectors in "col a" cannot be determined without additional context or information. "Col a" could refer to a column vector or a collection of vectors associated with a variable "a," but without further details, the exact number of vectors in "col a" cannot be determined.

c) Without knowing the specific context of "p" and "col a," it is impossible to determine if "p" is in "col a." The inclusion of "p" in "col a" would depend on the definition and properties of "col a" and the specific value of "p."

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Answer:

Any fraction that will reduce to -3/2 will be equivalent to -3/2.

Examples:

-6/4

-24/16

Answer:

-6/4

Step-by-step explanation:

You can just multiply them by any factor. Remeber that what you do to the bottom you do to the top.

So,

-3/2 x 2

-6/4 (this is a fraction equivalent to it.

hope this heped :)