Read the following and answer the questions that follow.
Seven twelfths of the 840 students attended the Spring Concert.
a. What fraction of the students did not attend the Spring Concer
. How many students did not attend the Spring Concert?

To complete the table for the equation y = -2x + 3, we need to substitute the given x-values into the equation and calculate the corresponding y-values. Let's fill in the table:

x | y

-1 | -2(-1) + 3 = 5

1 | -2(1) + 3 = 1

2 | -2(2) + 3 = -1

3 | -2(3) + 3 = -3

2 | -2(2) + 3 = -1

The completed table is:

x | y

-1 | 5

1 | 1

2 | -1

3 | -3

2 | -1

So, the table is filled as shown above.

Let's go through each step in more detail to explain how we filled in the table for the equation y = -2x + 3.

The equation y = -2x + 3 is in slope-intercept form, where the coefficient of x (-2) represents the slope of the line, and the constant term (3) represents the y-intercept.

To complete the table, we substitute the given x-values into the equation and calculate the corresponding y-values.

For x = -1:

Substituting x = -1 into the equation y = -2x + 3:

y = -2(-1) + 3

y = 2 + 3

y = 5

Therefore, when x = -1, y = 5.

For x = 1:

Substituting x = 1 into the equation y = -2x + 3:

y = -2(1) + 3

y = -2 + 3

y = 1

Therefore, when x = 1, y = 1.

For x = 2:

Substituting x = 2 into the equation y = -2x + 3:

y = -2(2) + 3

y = -4 + 3

y = -1

Therefore, when x = 2, y = -1.

For x = 3:

Substituting x = 3 into the equation y = -2x + 3:

y = -2(3) + 3

y = -6 + 3

y = -3

Therefore, when x = 3, y = -3.

For x = 2 (again):

Substituting x = 2 into the equation y = -2x + 3:

y = -2(2) + 3

y = -4 + 3

y = -1

Therefore, when x = 2, y = -1.

By substituting each given x-value into the equation y = -2x + 3 and performing the calculations, we obtained the corresponding y-values for each x-value, resulting in the completed table:

x | y

-1 | 5

1 | 1

2 | -1

3 | -3

2 | -1

Each entry in the table represents a point on the graph of the equation y = -2x + 3.

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To solve the equation we can use the given options, except calculate the lcd of terms

An equation is an equality between two algebraic expressions.

To solve an equation we must try to isolate the variable on one side of the equation. Some alternatives may be:

Therefore, the wrong option is to obtain the lcd of two like terms.

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The correct answer is false. A reduced echelon matrix \(T(x) = 0\) with a row of \([0 . . 0 | 0] or [0 . . . 0 | b]\), where\(b \neq 0\), is not considered one-to-one.

Let's first define what it means for a matrix to be one-to-one.

A matrix is said to be one-to-one if each column of the matrix is linearly independent.

This means that for any given input, there is only one possible output.
Now, let's consider the reduced echelon matrix T(x) = 0. If this matrix has a row of \([0 . . 0 | 0] or [0 . . . 0 | b]\), b ≠ 0, it means that one of the variables in the system of equations represented by the matrix is a free variable.

This free v\(T(x) = 0.\)ariable can take on any value, and the other variables will adjust accordingly.
If the reduced echelon matrix is \([1 0 | 2; 0 0 | 0],\) the system of equations would be \(x = 2\) and y can be any value.

This means that the matrix is not one-to-one, because there are multiple outputs for the same input.
the correct answer is false.

A reduced echelon matrix\(T(x) = 0\) with a row of \([0 . . 0 | 0] or [0 . . . 0 | b]\), where \(b \neq 0\), is not considered one-to-one.

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Answer:

about 89.91 cubic cm

Step-by-step explanation:

\( \frac{1}{3} \pi( {3}^{2} ) \sqrt{ {10}^{2} - {3}^{2} } \)

\( \frac{1}{3} \pi(9) \sqrt{100 - 9} \)

\(3\pi \sqrt{91} = 89.91\)

Influential scores, indicated by large residuals, have a significant impact on the regression line when removed from the data. These points, characterized by extreme x or y-values, can alter the slope and intercept of the regression line, emphasizing their importance in regression analysis.

The correct statements about influential scores are i and ii.

i. Influential scores have large residuals because they have a strong effect on the regression line. This means that if we remove an influential score from the data, it will significantly change the slope and intercept of the regression line.

ii. Removal of an influential score sharply affects the regression line because influential scores have a large impact on the regression line. If we remove an influential score, it will significantly change the slope and intercept of the regression line.

iii. This statement is not true. An x-value that is an outlier in the x-variable may be indicative of a point being influential, but a y-value that is an outlier in the y-variable can also be indicative of a point being influential.

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The length of the fence in feet if he uses all 72 feet of material is 33 feet.

Perimeter = 2(length + width)

72 = 2(x + 3)

72 = 2x + 6

72 - 6 = 2x

68 = 2x

x = 68/2

x = 33 feet

Therefore, the length of the fence in feet if he uses all 72 feet of material is 33 feet.

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A polygon is a plane shape that has at least three straight sides and angles. It is a closed figure formed by three or more straight-line segments that form a loop or a closed chain. The path or trajectory from one point to another in a space, represented by a directed line segment is known as a vector. It has both magnitude and direction. It is generally represented by a boldface lowercase letter.

The given polygon vector moved [-3,1]. We need to find where the polygon would end up. To determine this, we need to subtract the vector from the original position of the polygon. We can find the position of the polygon by the given coordinates as follows: Polygon Coordinates (6,1), (-2,3), (1,5), (6,5) Subtracting the vector [-3, 1] from the polygon coordinates, we get the new coordinates as follows: (6,1) - [-3, 1] = (6+(-3), 1+1) = (3, 2)(-2,3) - [-3, 1] = (-2+(-3), 3+1) = (-5, 4)(1,5) - [-3, 1] = (1+(-3), 5+1) = (-2, 6)(6,5) - [-3, 1] = (6+(-3), 5+1) = (3, 6)Therefore, the polygon ends up at coordinates (3, 2), (-5, 4), (-2, 6), and (3, 6). Hence, none of the options provided matches the new coordinates.

If the polygon vector moved [-3,1], the polygon would end up at (x-3, y+1)

Let's say the initial position of the polygon is (x,y), and the polygon moves to (-3,1) units.

Then the new position of the polygon would be (x-3, y+1).

Therefore, if the polygon vector moved [-3,1], the polygon would end up at (x-3, y+1).

However, The question does not provide the initial position of the polygon,

Hence we cannot determine the exact coordinates of the new position.

Therefore, none of the options provided are correct as they all contain specific coordinates.

The answer to this question is that the polygon would end up at (x-3, y+1)

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Answer:

Step-by-step explanation:

This is proportional relationship

The function is:

The slope is:

The y-intercept is:

The function is:

Answer:

A. f(x) = 6.5x

B. f(x) = 3x - 2

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

x = \(\frac{4}{3}\)

Step-by-step explanation:

Given

x - \(\frac{2}{3}\) = \(\frac{2}{3}\) ( isolate x by adding \(\frac{2}{3}\) to both sides )

x = \(\frac{4}{3}\)

The input value where the function will begin to have real outputs is -2

From the question, we have the following parameters that can be used in our computation:

f(x)=√(x + 2) +2

The function f(x) = √(x + 2) + 2 will begin to have real outputs when the argument inside the square root, x + 2, is non-negative.

This is represented as

x + 2 >= 0

So, we have

x >= -2

Hence, the starting input is -2

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Answer:

hey all u have to do is get better but the answer is 45

Step-by-step explanation:

The answer of this question is π (3/2).

To evaluate the given integral using a change of variables t.

Letting x = 3u and y = 5v, we have:

3x^2 = 3(3u)^2 = 27u^2

The Jacobian of the transformation is:

| ∂x/∂u ∂x/∂v |

| ∂y/∂u ∂y/∂v |

= | 3 0 |

| 0 5 |

So the differential element Da in terms of u and v is:

Da = | 3 0 | du dv

| 0 5 |

Thus, we can express the given integral in terms of u and v as follows:

∬R 3x^2 Da = ∬R 27u^2 (3 0) du dv

(0 5)

where R is the region in the uv-plane corresponding to the region bounded by the ellipse 25x^2 + 9y^2 = 225 in the xy-plane.

To find the limits of integration, we need to determine the range of u and v that corresponds to the region R. Substituting x = 3u and y = 5v into the equation for the ellipse, we get:

25(3u)^2 + 9(5v)^2 = 225

225u^2 + 45v^2 = 1

Dividing by 225, we have:

u^2/1/5^2 + v^2/1/3^2 = 1

This is the equation of an ellipse with semi-axes of length 1/5 and 1/3 along the u and v axes, respectively. Thus, the region R is the ellipse with semi-axes of length 1/5 and 1/3 centered at the origin in the uv-plane.

To find the limits of integration, we can parameterize the ellipse as follows:

u = (1/5)cos(t)

v = (1/3)sin(t)

where 0 ≤ t ≤ 2π.

Integrating with respect to cos(t) first, we get:

∬R 3x^2 Da = 27/50 ∫₀²π [(3/2)sin(t)cos(t) + (3/4)cos(2t)sin(t)]|₀¹ d(t)

= 27/50 ∫₀²π (3/2)sin(t)cos(t) + (3/4)cos(2t)sin(t) d(t)

Using the identity sin(2t) = 2sin(t)cos(t) , we get the answer π (3/2).

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Answer:

Step-by-step explanation:

300

in sequare

Answer: 3060 in³

Step-by-step explanation:

Volume is how much a shape can hold.  It's a 3 dimensional measurement so you need to multiply 3 dimensions

V= length x width x height

Sometimes students get confused with which is which side but it really doesn't matter because multiplication is commutative meaning you can switch it and it doesn't matter.  Like  5x2 is the same thing as 2x5  both will still be 10

length=15

width=12

height= 17

If Volume = length x width x height

=15 x 12 x 17 =  =3060

Because it's 3 dimensional, units are are cubed as well. but questions says no units

Answer:

y= Ix-3I    (that says absolute value btw)

Step-by-step explanation:

This is the result of starting with y = |x|, then shifting it three units to the right. Replacing x with x-3 moves the xy axis three units to the left, giving the illusion the V shaped curve moved 3 spots to the right.

We don't shift up or down since the vertex is on the x axis.

We also don't vertically compress or stretch the graph either.

Side note: the vertex for this graph is (3,0) which is the lowest point of the curve.

The analysis of the data medians in the box plots (comparison) indicates that the drive-thru that has less wait time is Super Fast Food.

The median is the mid value of the dataset (arranged in order), such that 50% of the count of the data are smaller than or equivalent to the median and 50% of the values are higher than or equivalent to the median.

The five number summary of the box plots are presented as follows;

The Fast chicken graph indicates that the wait times are;

Lowest or minimum value = 5

First quartile = 10

Median = 12.5

Third quartile = 14.5

Max value = 20

Super Fast Food graph indicates that the wait times are;

Lowest value = 3

First quartile = 8.5

Median = 12

Third quartile = 15.5

Max value = 27

The  minimum value and median value of 3 and 12 for Super Fast Food and 5 and 12.5 for Fast Chicken indicates that 50% of the sampled data spent between 3 and 12 minutes at Super Fast Food and 5 and 12.5% at Fast Chicken, which indicates that Super Fast Food has less wait time than Fast Chicken. The correct option is therefore;

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Answer:

\(\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx = 11\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Integrals

Integration Property [Multiplied Constant]:                                                                 \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)

Integration Property [Addition/Subtraction]:                                                               \(\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx\)

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle \int\limits^1_0 {f(x)} \, dx = 4\)

\(\displaystyle \int\limits^1_0 {g(x)} \, dx = -3\)

\(\displaystyle \int\limits^1_0 {[2f(x) - g(x)]} \, dx\)

Step 2: Find

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Answer:

(3, -4)

Step-by-step explanation:

Lines are intersecting at points (3, -4).

So, the solution of the given system of equations is (3, -4).

Hope it helps you in your learning process.

Answer:

A)  y = 6x + 8

Step-by-step explanation:

The equivalent expression of 5\(x^{3/2}\) is  5√(x³). The correct option is last one.

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given:

An expression,

5\(x^{3/2}\)

To find the equivalent expression:

We have to simplify the expression,

5\(x^{3.1/2}\)

= 5(x³)\(){1/2}\)

= 5√(x³)

The above expression is an equivalent expression.

Therefore, 5√(x³) is an equivalent expression.

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Answer:

Yes, the lines on the graph at 3 and -3 a part  of the solution,

Step-by-step explanation:

The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.

Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.

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The statement you provided mentions two separate events involving different companies lower rates

1. Hertz runs a sale: Hertz, a car rental company, is having a sale. This implies that they are offering in  discounted prices or promotional deals on their rental services.

2. Avis buys new cars and Budget lowers rates: Avis, another car rental company, is purchasing that  new cars to add to their fleet. On the other hand, Budget, yet another car rental   the company, is reducing their rental rates.

These events indicate of independent actions taken by the respective companies and are not directly connected to each other.

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The distance that she runs from one corner of the field to another is given as follows:

147.1 yards.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

The distance in this problem is the diagonal of a rectangle, which is the hypotenuse of a right triangle in which the length and the width are the sides, hence:

d² = 85² + 120²

d = sqrt(85² + 120²)

d = 147.1 yards.

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Known facts

8w - 2p = 8(6) - 2(-5) = 48 + 10 = 58

Answer: 58

Hope that helps!

Answer:

58

Step-by-step explanation:

Knowing that w = 6 and p = -5

Thus, equation look like this:

8(6)-2(-5)

Now Let's Multiply:

8(6)=48 and -2(-5) = 10  [ (-) + (-) = (+) and (+) +(+) =(+)

48 + 10 = 58

Answer = 58

[RevyBreeze]

The probability that at least two people in a group of 30 have the same birthday is about 0.7063 or 70.63%.

To calculate the probability that at least two people in a group of 30 have the same birthday, we can use the complement rule:

P(at least 2 people have the same birthday) = 1 - P(all people have different birthdays)

The probability that the first person has a unique birthday is 1 (since there are no other people to share with yet).

The probability that the second person also has a unique birthday is 364/365 (since there are now 364 days left out of 365 that they could have a different birthday from the first person).

Similarly, the probability that the third person has a unique birthday is 363/365, and so on. So, we can write:

P(all people have different birthdays) = 1 x 364/365 x 363/365 x ... x 336/365

Using a calculator or computer program, we can evaluate this expression to be approximately 0.2937.

Therefore,

P(at least 2 people have the same birthday) = 1 - 0.2937 = 0.7063

So the probability that at least two people in a group of 30 have the same birthday is about 0.7063 or 70.63%.

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Answer:

I think its B I'm so sorry if its wrong

Step-by-step explanation:

The mean of this distribution is (a+b)/2 = $500, and the standard deviation is (b-a)/sqrt(12) = $288.68. The probability of winning more than $600 on one spin of the wheel is the area under the uniform distribution curve from $600 to $1000, which is (1000-600)/(1000-0) = 0.4 or 40%.

In a uniform distribution, all possible outcomes have an equal probability of occurring, and the range of values is defined by the minimum value (a) and the maximum value (b). In this case, the range is from $0 to $1000, so a=0 and b=1000.

The mean of a uniform distribution is the average of the minimum and maximum values, which is (a+ b)/2 = $500. The standard deviation of a uniform distribution is calculated using the formula (b-a)/sqrt(12), which gives a value of $288.68 for this distribution.

To find the probability of winning more than $600, we need to calculate the area under the uniform distribution curve from $600 to $1000. Since the total area under the curve is 1, we can calculate the probability by dividing the width of the interval by the total width of the distribution, which is (1000-600)/(1000-0) = 0.4 or 40%.

Therefore, the probability of winning more than $600 on one spin of the wheel is 0.4.

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Step-by-step explanation:

These two angles are same side corresponding interior angles so they are equal to each other

\(5x + 20 = 120\)

\(5x = 100\)

\(x = 20\)

The distance between the sandbox and the garden is given as follows:

d = 33.6 ft.

Suppose we have a triangle in which:

The lengths and the sine of the angles are related as follows:

\(\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}\)

Then the relation for the triangle in this problem is given as follows:

sin(65º)/d = sin(104º)/36

Applying cross multiplication, the distance is given as follows:

d = 36 x sine of 65 degrees/sine of 104 degrees

d = 33.6 ft.

The triangle is given by the image presented at the end of the answer.

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