4. What is the domain of the relation shown in the table?
1 point
A {-23, -14, -8, 1, 10}
B {(-5, -23), (-2,-14), (0,-8), (3,1), (6,10)}
C {-23, -14, -8, -5, -2, 0, 1, 3, 6, 10}
D {-5, 2, 0, 3, 6}

(a) The number of ways that the event can occur is 6.

(b) Probabilities are :

1) 1/2, 2) 1/6 and 3) 1/3.

(a) Given a bag of different shapes.

Total number of shapes = 6

So, if we select one shape from random,

total number of ways that the event can occur = 6

(b) Number of squares in the bag = 3

Probability of choosing a square = 3/6 = 1/2

Number of circles in the bag = 1

Probability of choosing a circle = 1/6

Number of stars in the bag = 2

Probability of choosing a star = 2/6 = 1/3

Hence the required probabilities are found.

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In the equation y = $7.20x + $790, "y" represents the total cost. An equation is a mathematical statement that shows the relationship between two or more variables. In this equation, there are two variables - "x" and "y". The variable "x" represents the number of units produced or sold, while "y" represents the total cost.

The coefficient of "x" in the equation, which is 7.20, represents the variable cost per unit. This means that for each unit produced or sold, there is an additional cost of $7.20. The constant term, which is $790, represents the total fixed costs. Fixed costs are those costs that do not vary with the number of units produced or sold.To find the total cost of producing or selling a certain number of units, we can plug in the value of "x" into the equation and solve for "y". For example, if we want to find the total cost of producing 100 units, we can substitute x=100 into the equation:
y = $7.20(100) + $790
y = $720 + $790
y = $1510
Therefore, the total cost of producing 100 units is $1510. In summary, "y" represents the total cost in the given equation, which is determined by both fixed and variable costs.
In the equation y = $7.20x + $790, "y" represents option C: total costs. This equation has two components: "$7.20x" represents the variable costs per unit, where x is the number of units, and "$790" represents the total fixed costs. By adding these two components together, you get the total costs (y) for producing x units.

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Answer:

h = # cups hot chocolate

d = # doughnuts

2.50h + 3.75d > 220

h ≤ 35

possible solution:  37 doughnuts, 34 cups hot chocolate

possible solution:  30 doughnuts, 50 cups hot chocolate

Step-by-step explanation:

To find the parametric representation of the elliptic paraboloid z = x² + 4y², we can introduce two parameters, let's say u and v, to represent the variables x and y, respectively.

Let u and v be the parameters such that x = u and y = v. Substituting these into the equation of the elliptic paraboloid, we have z = u² + 4v².

Therefore, the parametric representation of the elliptic paraboloid is given by:

x = u,

y = v,

z = u² + 4v².

In this parametric representation, as we vary the values of u and v, we will obtain different points on the surface of the elliptic paraboloid. Each combination of u and v will correspond to a unique point (x, y, z) on the surface.

In summary, by introducing parameters u and v, we can express the variables x, y, and z of the elliptic paraboloid in terms of these parameters, resulting in the parametric representation x = u, y = v, and z = u² + 4v².

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Answer:

43

Step-by-step explanation:

52-9=43

Answer:

Step-by-step explanation:

Answer:It would cost $11.70 for 2.25 pounds of gummy worms.

Step-by-step explanation:

$2.60*4=$10.40 for 2 pounds

$2.60/2=$1.30 for 1/4 of a pound which is equal to 0.25

$10.40+$1.30=$11.70 for 2.25 pounds of gummy worms

Answer: g = w² - 14w + 49

\(w=7-\sqrt{g}\\\\=> \sqrt{g} =7-w \\\\<=>g=(7-w)^{2}=49-14w+w^{2}\)

Step-by-step explanation:

Answer:

14% of the seats are empty

Step-by-step explanation:

7/50 = ?/100

50×2=100

so 7×2=?

?=14

14/100=14%

The percent of seats that are empty in the hall of 50 seats with 43 being occupied is; 14%

We are given;

Total number of seats in hall = 50

Number of occupied seats = 43

Number of empty seats = 7

Now, we want to find the percent of seats were empty.

This is gotten by;

% of empty seats = (number of empty seats/total number of seast) * 100%

% of empty seats = (7/50) * 100%

% of empty seats = 14%

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Answer:

I can confirm that it is: B, the set of points is in a plane

Step-by-step explanation:

It is right.

Answer:

$59.99

Step-by-step explanation:

11% of $59.99 is $6.60. $59.99+$6.60=66.59

Unfortunately, you have not provided the example data set that you would like to graph, analyze, and conclude. Therefore, I will provide general steps on how to accurately graph data, interpret the graph, analyze it, and conclude.

Graph the data set on the appropriate graph. For example, if you have time series data, plot it on a line graph. If you have categorical data, plot it on a bar graph. Ensure to use appropriate labeling for the x-axis and y-axis, including units.

Interpret the graph Analyze the graph by observing its key features such as the shape, trend, and distribution. For example, observe if there is a positive, negative, or no correlation. If there is a trend, is it linear or non-linear What is the range and variability of the data Write the analysis Write the analysis based on your observations State whether the hypothesis was supported or rejected and how the data set contributed to understanding the research question or the phenomenon being studied.

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Answer:

sorry cant

Step-by-step explanation:

i dont know

Answer:ok so toeat the eggs you haave to find the eggs

well, keeping in mind that twin sides stemming from the same "vertex" make twin angles at the "base", Check the picture below.

Answer:

There are intersections on BOTH axis

Step-by-step explanation:

The question is asking for intercepts. To find an x-intercept, plug in 0 for y.

To find a y-intercept, plug in x for y.

Finding x-intercepts:

\(0 = x^2 +5x -6\\0 = (x+6)(x-1)\\x = -6, 1\)

Finding y-intercepts:

\(y = 0^2+5(0)-6\\y=-6\)

The value of Average slope is -509.6.

We can calculate the slope of a function by finding its derivative. Therefore, we can find the derivative of f(x) first:f'(x) = -24x³ - 2x² - 3

We can then calculate the slope of the function at x=2 and x=4:

f'(2) = -24(2)³ - 2(2)² - 3

= -197f'(4)

= -24(4)³ - 2(4)² - 3

= -822

Now, we can find the average slope of the function on the interval [2,4] by using the formula:Average slope = (f'(4) - f'(2))/(4-2)= (-822 - (-197))/(4-2)= -625/2= -312.5

However, we need to be careful as we have been using approximation in the above calculation.

Therefore, we need to evaluate the definite integral of f'(x) from 2 to 4:∫(2,4) f'(x)dx= [-6x⁴/2 - 2x³/3 - 3x²/2] from 2 to 4= (-6(4)⁴/2 - 2(4)³/3 - 3(4)²/2) - (-6(2)⁴/2 - 2(2)³/3 - 3(2)²/2)= -509.6

Therefore, the average slope of the function on the interval [2,4] is -509.6.

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Answer:

A. 504

Step-by-step explanation:

on edge 2022

Answer:

A.

Step-by-step explanation:

EDG 2022

Putting it all together, we get:

A:

[-3 0 0]

[ 0 1 0]

[ 0 0 -1]

which is an orthogonal matrix with the first row being a multiple of (3, 3, 0).

An orthogonal matrix is a square matrix whose columns and rows are orthonormal vectors, i.e., each column and row has unit length and is orthogonal to the other columns and rows.

Let's start by finding a vector that is orthogonal to (3, 3, 0). We can take the cross product of (3, 3, 0) and (0, 0, 1) to get such a vector:

(3, 3, 0) x (0, 0, 1) = (3*(-1), 3*(0), 3*(0)) = (-3, 0, 0)

Note that this vector has length 3, so we can divide it by 3 to get a unit vector:

(-3/3, 0/3, 0/3) = (-1, 0, 0)

So, the first row of the orthogonal matrix A can be (-3, 0, 0) or a multiple of it. For simplicity, we'll take it to be (-3, 0, 0).

To find the remaining two rows, we need to find two more orthonormal vectors that are orthogonal to each other and to (-3, 0, 0). One way to do this is to use the Gram-Schmidt process.

Let's start with the vector (0, 1, 0). We subtract its projection onto (-3, 0, 0) to get a vector that is orthogonal to (-3, 0, 0):

v1 = (0, 1, 0) - ((0, 1, 0) dot (-3, 0, 0)) / ||(-3, 0, 0)||^2 * (-3, 0, 0)

= (0, 1, 0) - 0 / 9 * (-3, 0, 0)

= (0, 1, 0)

We can then normalize this vector to get a unit vector:

v1' = (0, 1, 0) / ||(0, 1, 0)|| = (0, 1, 0)

So, the second row of the orthogonal matrix A is (0, 1, 0).

To find the third row, we take the cross product of (-3, 0, 0) and (0, 1, 0) to get a vector that is orthogonal to both:

(-3, 0, 0) x (0, 1, 0) = (0, 0, -3)

We normalize this vector to get a unit vector:

v2' = (0, 0, -3) / ||(0, 0, -3)|| = (0, 0, -1)

So, the third row of the orthogonal matrix A is (0, 0, -1).

Putting it all together, we get:

A:

[-3 0 0]

[ 0 1 0]

[ 0 0 -1]

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0.3125 is the probability that every ball is different in color from more than half of the other 5 balls.

We have a total of 6 balls.

Let us consider these events:

If 1 ball is black and 5 other balls are white:

If 2 balls are white and 4 other balls are black:

If 2 balls are black and 4 other balls are white:

If 3 balls are black and 3 other balls are white:

Let, X be the random variable that denotes the event of painting a black ball then, X follows a binomial distribution with parameters n = 6 and p = 1/2

Therefore, 0.3125 is the probability that every ball is different in color from more than half of the other 5 balls.

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Answer:

A or C

Is my best I got stuck A or C

Answer:

\(\text{C. about }72.05\:\mathrm{cm^2}\)

Step-by-step explanation:

This is a very fun problem that requires the use of multiple concepts to solve.

Concepts/formulas used:

The measure of an inscribed angle is equal to half the measure of the arc it forms. In circle Z, \(\angle XVY\) is an inscribed angle that forms arc XY. Since XY is 40 degrees, angle XVY must be \(40\div 2=20^{\circ}\).

Similarly, \(\angle VYX\) is also an inscribed angle and forms arc XV. Notice how arc XY and arc XV form arc VY, which is half the circumference of the circle, since segment VY is a diameter of the circle. Since there are 360 degrees in a circle, arc VY must be 180 degrees. Therefore, we have:

\(\widehat{XY}+\widehat{XV}=180^{\circ},\\\widehat{XV}+40^{\circ}=180^{\circ},\\\widehat{XV}=140^{\circ}\)

Now we can find the measure of angle VYX, using our knowledge that the measure of an inscribed angle is half the measure of the arc it forms.

\(m\angle VYX=\frac{140}{2}=70^{\circ}\)

Now, we have two angles of triangle VXY. Since the sum of the interior angles of a triangle add up to 180 degrees, the third angle, \(\angle VXY\), can be found:

\(\angle VXY+\angle VYX+\angle XVY=180^{\circ},\\\angle VXY+20^{\circ}+70^{\circ}=180^{\circ},\\\angle VXY+90^{\circ}=180^{\circ},\\\angle VXY=90^{\circ}\)

We can now use this angle and the Law of Sines to find the length of segment VY. The Law of Sines works for any triangle and is given by \(\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}\) (the ratio of any angle and its opposite side is maintained throughout all angles of the triangle).

Since angle VXY's opposite side is VY and angle VYX's opposite side is VX, we have the following proportion:

\(\frac{\sin 70^{\circ}}{9}=\frac{\sin 90^{\circ}}{VY}\)

Recall that \(\sin 90^{\circ}=1\). Cross-multiply:

\(9\sin 90^{\circ}=VY\sin 70^{\circ},\\9=VY\sin 70^{\circ},\\VY=\frac{9}{\sin 70^{\circ}}\)

This is the diameter of the circle. By definition, all radii are half the diameter. Therefore, the radius of the circle is \(\frac{9}{\sin 70^{\circ}}\cdot \frac{1}{2}=\frac{9}{2\sin 70^{\circ}}\).

The area of a circle with radius \(r\) is given by \(A=r^2\pi\). Substitute \(r=\frac{9}{2\sin 70^{\circ}}\) to get the area of circle Z:

\(A=(\frac{9}{2\sin 70^{\circ}})^2\pi,\\A\approx (4.78879997614)^2\pi,\\A\approx 22.9326052115\pi,\\A\approx \boxed{72.05\:\mathrm{cm^2}}\)

Answer:

4

Step-by-step explanation:

According to Google "the reason 2+2 = 4, is because of their worth. put 2 fingers up (not to your mother), on both hands. start counting them and you'll have 4."

Answer: 60 cm (centimeters) = 228 m (meters)

Step-by-step explanation:

Since the scale is 5 cm = 19 m, we first multiply the cm by the amount we have (228), divided by the denominator.

\(228*5=1140\\1140 / 19 = 60\)

The answer should be 5 cm = 19 m; 60 cm = 228 m

Hope this helps

Answer:

x ≤ 2

Step-by-step explanation:

Expand

3x - 6 + x ≤ 2

Rearrange

4x ≤ 8

x ≤ 2

Answer:

x ≤ 2

Step-by-step explanation:

Step 1: Write inequality

3(x - 2) + x ≤ 2

Step 2: Solve for x

Here we see that any number less than or equal to 2 will work.

Answer:

100+50n

n stands for the number of weeks

There are about 52 weeks in a year, so

100+50(52) = 2700

Greta would have $2700 after 1 year

Answer:

14+14 + 4pi= 28 + 4pi

\(\pi\)

The system of equations with no solutions is the second one:

3x - 7y = 22

4.5x - 10.5y = 44

When we have a system of linear equations, the only case where the system has no solutions is when both of the lines are parallel lines (thus, the lines never intercept).

So we need to identify the system of linear equations where the lines are parallel.

If you look at the second system of equations, we have:

3x - 7y = 22

4.5x - 10.5y = 44

We can multiply the first equation by 1.5 to get:

1.5*(3x - 7y) = 1.5*22

4.5x - 10.5y = 33

Then the system is:

4.5x - 10.5y = 33

4.5x - 10.5y = 44

We can see that these lines are parallel,and thus, this system has no solutions.

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Answer: 1.2 m

Step-by-step explanation:

Given

The length of the ramp to the building is 3.7 m

Distance from the beginning of the ramp to the base of the building is 3.5 m.

Suppose h is the height of the ramp

from the figure, we can write

\(\Rightarrow 3.7^2=3.5^2+h^2\\\Rightarrow 13.69-12.25=h^2\\\Rightarrow h^2=1.44\\\Rightarrow h=1.2\ m\)

So, the height of the ramp is 1.2 m

Answer:

y= -3x + 7:)

Step-by-step explanation:

Hope this helps!

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute (4, - 5) into the partial equation

- 5 = - 12 + c ⇒ c = - 5 + 12 = 7

y = - 3x + 7 ← equation of line

Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.

To determine which point is a solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2, we can test each point to see if it satisfies both inequalities.

a) Point E at (4, -2):

Substituting the coordinates into the inequalities:

-2 > -2(4) + 10 -> -2 > -8 + 10 -> -2 > 2 (False)

-2 > (1/2)(4) - 2 -> -2 > 2 - 2 -> -2 > 0 (False)

b) Point K at (2, 3):

Substituting the coordinates into the inequalities:

3 > -2(2) + 10 -> 3 > -4 + 10 -> 3 > 6 (False)

3 > (1/2)(2) - 2 -> 3 > 1 - 2 -> 3 > -1 (True)

c) Point B at (4, 7):

Substituting the coordinates into the inequalities:

7 > -2(4) + 10 -> 7 > -8 + 10 -> 7 > 2 (True)

7 > (1/2)(4) - 2 -> 7 > 2 - 2 -> 7 > 0 (True)

d) Point D at (-7, 1):

Substituting the coordinates into the inequalities:

1 > -2(-7) + 10 -> 1 > 14 + 10 -> 1 > 24 (False)

1 > (1/2)(-7) - 2 -> 1 > -3.5 - 2 -> 1 > -5.5 (True)

Based on the analysis, point D at (-7, 1) is the only solution to the system of inequalities y > -2x + 10 and y > (1/2)x - 2. Therefore, the correct answer is option d) D.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation: I don’t know