Can someone please help me out with this?

The value of x is 53.  

We have,

From the figure,

There are two parallel lines.

This means,

44 and angle M are corresponding angles.

And,

We can consider a triangle as:

M + P + P = 180

Where P is the angle opposite to the equal sides.

So,

44 + P + P = 180

44 + 2P = 180

2P = 180 - 44

2P = 36

P = 18

Now,

x is the exterior angle.

This means,

x = 35 + P

x = 35 + 18

x = 53

Thus,

The value of x is 53.  

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The area under the curve over [0, 1] is 15.75.

To find the Riemann sum, divide [0, 1] into n equal subintervals of width Δx = 1/n.

Using the right endpoint, c = iΔx = i/n. The Riemann sum is:

Σ[f(c)Δx] = Σ[(21(i/n) + 21(i/n)³)(1/n)] from i=1 to n.

To find the area under the curve, take the limit as n→∞:

Area = lim(n→∞) Σ[(21(i/n) + 21(i/n)³)(1/n)].

Find the answer by using the method of definite integration.

Area = ∫(21x + 21x³)dx from 0 to 1 = [10.5x² + 5.25x⁴] from 0 to 1 = 10.5(1)² + 5.25(1)⁴ - 0 = 15.75.

The area under the curve over [0, 1] is 15.75.

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Answer: (the 2s I added are for square 2)

5sq(5g2s2 - 16qs + 9)

Step-by-step explanation:

The number of unique preferences represented in the table is given as follows:

B. Five.

Unique outcomes are the outcomes that appear in a data-set, however we only count them twice.

For example, if João and Elisa are Buffalo Bills fans, while Chanel and Laura are Atlanta Falcons fans, we have two unique outcomes(Bills and Falcons fans).

Hence the outcomes for this problem is given as follows:

Hence the number of unique outcomes is given as follows:

5.

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Answer: Obtuse triangle? The line marked with O and E is more than 90 degrees

Step-by-step explanation:

The height of the box is 4 inches.

The volume of a box is given by the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height. We are given that the volume of the box is 36 cubic inches, the length is 3 inches, and the width is 3 inches.

So, we can plug in these values into the formula and solve for the height h:

V = lwh

36 = 3 x 3 x h

36 = 9h

h = 36/9

h = 4

Therefore, the height of the box is 4 inches.

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The monthly cost for 56 minutes of calls is given as follows:

$18.05.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

For 38 minutes of call, the price increases by $4.94, hence the slope of the linear function, representing the cost per minute, is given as follows:

m = 4.94/38

m = 0.13.

56 minutes is 30 minutes less than 86 minutes, hence the cost is given as follows:

C(56) = 21.95 - 30 x 0.13

C(56) = $18.05.

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Answer:

Yes it can be negative

Step-by-step explanation:

For example, in a vacuum, there is no atmospheric pressure and the pressure is zero. If we introduce a sealed container into the vacuum and pump out the air, the pressure inside the container will be negative compared to the pressure outside the container.

As a result, y = |2x + 5| is the equation for translating the graph of y = |2x + 7| one unit to the left.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The function is given below:

y = |2x + 7|

The translated function is as follows:

y = |2(x - 1) + 7|

y = |2x - 2 + 7|

y = |2x + 5|

As a result, y = |2x + 5| is the equation for translating the graph of y = |2x + 7| one unit to the left.

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Suppose,

[tex]y=(x-3)^2-47 ----------------(1)\\y=17 -------------------------(2)[/tex]

Put [tex]y=17[/tex] in place of x in the first equation:

[tex]17=(x-3)^2-47[/tex]

To both sides, add [tex]47[/tex]:

[tex]64=(x-3)^2[/tex]

Add the square roots of both sides together:

[tex]8=x-3[/tex] or [tex]-8=x-3[/tex]

To each sides, add [tex]3[/tex]:

[tex]x=11 or -5[/tex]

As a result, the following are the equations' solutions:[tex]x=-5, y=17 or x=11, y=17[/tex].

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(a) The distribution of X is X ~ N(151, 24)

(b) The probability that the average price is between $152 and $155 is 0.950

(c) The quartile for the average textbook price for this sample size is $167.2

(d) The assumption of normal distribution is necessary

Given that

Mean = 151

Standard deviation = 24

The distribution of X is represented as

X ~ N(Mean , Standard deviation)

So, we have

X ~ N(151, 24)

The z-score is calculated as

z = (x - Mean)/Standard deviation

So, we have

z = (152 - 151)/24 and z = (155 - 151)/24

Evaluate

z = 0.042 and z = 0.167

So, we have

P = P(0.042 < z < 0.167)

Evaluate

P = 0.95044

Approximate

P = 0.950

This is calculated as

Q₃ = Mean + 0.675 * Standard deviation

So, we have

Q₃ = 151 + 0.675 * 24

Evaluate

Q₃ = 167.2

Hence, the quartile for the average textbook price for this sample size is $167.2

Yes, the assumption is necessary

This is because

The distribution has a sample size greater than 25 as required by the central limit theorem

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Answer:

The answer is -4.4.

Step-by-step explanation:

First, you have to add -12 + -10 + -6 and it equals -28. Next add the positive numbers 4+ 2 equals 6. Then, put them altogether meaning -28 + 6 equals -22, then divide it by the number of players which is 5 then you get the answer of -4.4.

Have a nice day.

Answer:

To have a D/E ratio of 1.6, Oceanic Luxury Vessels, Inc. would need to sell debt securities.

First, we need to calculate the market value of the company's equity.

Market value of equity = Number of shares outstanding × Market price per share

Market value of equity = 5,000,000 × $38

Market value of equity = $190,000,000

Next, we can calculate the current debt-to-equity (D/E) ratio of the company:

Current D/E ratio = Total debt / Total equity

Total debt = Number of bonds outstanding × Bond price per bond × Par value

Total debt = 75,000 × 1.02 × $1,000

Total debt = $76,500,000

Current D/E ratio = $76,500,000 / $190,000,000

Current D/E ratio = 0.403

To achieve a D/E ratio of 1.6, the company would need to increase its total debt by a factor of 1.6/0.403 = 3.97.

New total debt = 3.97 × $76,500,000

New total debt = $304,305,000

To calculate the amount of debt securities the company would need to sell, we can subtract the current total debt from the new total debt:

Amount of debt to be sold = $304,305,000 - $76,500,000

Amount of debt to be sold = $227,805,000

Therefore, the company would need to sell debt securities worth $227.8 million to achieve a D/E ratio of 1.6.

The correct answer is C. Debt; $248.5 million.

The equation of the quadratic function C(t) is given as follows:

C(t) = t² + 3.

The quadratic function of vertex(h,k) is given by the rule presented as follows:

y = a(x - h)² + k

In which:

The vertex is the turning point of the function, where it changes from decreasing to increasing, or vice versa, hence:

(0,3).

Then:

y = at² + 3.

When x = 1, y = 4, hence the leading coefficient a is obtained as follows:

4 = a(1)² + 3

a = 1.

Hence the function is given as follows:

y = t² + 3.

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The probability that the spinner on the left will land on a 6 and the spinner on the right will land on a shaded area will be 1/9. The correct option is A.

Probability is a branch of mathematics that deals with the measurement and analysis of uncertainty. In other words, probability is the measure of the likelihood or chance that a particular event will occur.

The probability that the spinner on the left will land on a 6 is calculated as,

P₁ = 2 / 12

The spinner on the right will land in a shaded area is,

P₂ = 8 / 12

The total probability will be,

P =  ( 2 / 12 ) x ( 8 / 12 )

P = 1 / 9

Therefore, the probability that the spinner on the left will land on a 6 and the spinner on the right will land on a shaded area will be 1/9. The correct option is A.

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Answer:

if you make 413 dollars a second, in 30 minutes you would make 743,400 dollars.

Step-by-step explanation:

If you make 413 dollars a second, in 30 minutes you would make:

30 minutes = 30 x 60 = 1800 seconds

So, the amount of money you would make in 30 minutes can be calculated as follows:

1800 seconds x 413 dollars/second = 743,400 dollars

The solution for x  in the circle is:

x = 6

Tangent-tangent theorem states that "The measure of an angle formed by a two tangents drawn from a point outside the circle is one-half the difference of the intercepted arcs".

Using the above theorem. We can say:

5x + 17 = 1/2 * [(37x+5) - (23x-5)]

5x + 17 = 1/2 * [37x + 5 - 23x + 5]

5x + 17 = 1/2 * [14x + 10]

5x + 17 = 7x + 5

7x - 5x = 17 - 5

2x = 12

x = 12/2

x = 6

Therefore, the solution for x is 6.

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Complete Question

Check attached image

From matrix property it can be showed that A=B.

Given,

If A,B and x are matrices with x≠0 and AX=BX

Now.

X must be non-singular matrix because

A[tex]XX^{-1}[/tex]=B[tex]XX^{-1}[/tex]

[tex]XX^{-1}[/tex]  = I( identity matrix )

AI = BI

A = B

Hence Proved, A = B .

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We can see here that converting 11/15 to decimal and a percent, we have:

Converting 15/11 to decimal and percent, we have:

A decimal is a number that uses the decimal system, which is a system of representing numbers using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, and a decimal point.

Thus, converting 11/15 to decimal and a percent:

Converting 15/11 to decimal and percent, we have:

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Answer:

To simplify the expression |2(11-3)/2|^2, we follow the order of operations (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right).

First, simplify the expression inside the absolute value:

2(11-3)/2 = 2(8)/2 = 16/2 = 8

Now, simplify the absolute value of 8, which is simply the magnitude of 8:

|8| = 8

Finally, square the result:

8^2 = 8 * 8 = 64

Therefore, the simplified value of |2(11-3)/2|^2 is 64.

Step-by-step explanation:

Sharon is correct in classifying the shape as a square, rectangle, and quadrilateral.

The shape satisfies the criteria for each classification: it has equal sides and right angles, making it a square; it has right angles, making it a rectangle; and it has four sides, making it a quadrilateral. Therefore, the shape can be accurately described and categorized using all four classifications.

Moreover, as a quadrilateral, this shape satisfies the general criteria of having four sides. Its defined boundaries encompassing an enclosed area are emblematic of a quadrilateral.

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The appropriate inference procedure is the t test for μdiff.

We know that,

The mean is a basic mathematical average of two or more values.

There are several methods for computing the mean for a given collection of numbers, including the arithmetic mean approach, which utilizes the sum of the numbers in the series, and the geometric mean method, which is the average of a set of products.

The t test is used to compare the means of two groups.

We also know that,

Inferential statistics is a field of statistics that employs a variety of analytical procedures to draw conclusions about population data from sample data. Aside from inferential statistics, descriptive statistics are a subset of statistics. Inferential statistics aid in drawing inferences about the population, whereas descriptive statistics summarize the data set's features.

It is a very important tool that can be used in inferential statistics.

Since it shows whether the means of two groups are significantly different, we can say that, the appropriate inference procedure is the t test for μdiff.

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Marking the intersection points on the blueprint with yellow points:

To solve for the intersection points of three lines.

Equation 1: Y = -2X + 14

Equation 2: Y = 3X - 7

Equation 3: Y = 0.5X + 2

To find the intersection point of Equations 1 and 2, use the substitution method.

Substituting Equation 1 into Equation 2:

-2X + 14 = 3X - 7

Adding 2X and subtracting 14 from both sides:

-2X + 2X + 14 = 3X + 2X - 7 - 14

14 = 5X - 21

Adding 21 to both sides:

14 + 21 = 5X

35 = 5X

Dividing both sides by 5:

X = 7

Now substitute X = 7 back into Equation 1 to find the corresponding Y value:

Y = -2(7) + 14

Y = -14 + 14

Y = 0

Therefore, the intersection point of Equations 1 and 2 is (7, 0).

To find the intersection point of Equations 1 and 3, use the same substitution method.

Substituting Equation 1 into Equation 3:

-2X + 14 = 0.5X + 2

Adding 2X and subtracting 14 from both sides:

-2X + 2X + 14 = 0.5X + 2X - 14

14 = 2.5X - 14

Adding 14 to both sides:

14 + 14 = 2.5X

28 = 2.5X

Dividing both sides by 2.5:

X = 11.2

Now substitute X = 11.2 back into Equation 1 to find the corresponding Y value:

Y = -2(11.2) + 14

Y = -22.4 + 14

Y = -8.4

Therefore, the intersection point of Equations 1 and 3 is (11.2, -8.4).

To find the intersection point of Equations 2 and 3, substituting Equation 2 into Equation 3:

3X - 7 = 0.5X + 2

Subtracting 0.5X and adding 7 to both sides:

3X - 0.5X = 0.5X + 2 + 7

2.5X = 9

Dividing both sides by 2.5:

X = 3.6

Now substitute X = 3.6 back into Equation 2 to find the corresponding Y value:

Y = 3(3.6) - 7

Y = 10.8 - 7

Y = 3.8

Therefore, the intersection point of Equations 2 and 3 is (3.6, 3.8).

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1. The best equation for circle A is (x + 4)² + (y + 2)² = 9. Option D

2. The equation of the circle with coordinates (1, 1) (1, 11) is (x - 1)² + (y - 6)² = 25. Option A

1. For the equation of circle A, we can pick out the coordinates we see.

Circle A has its midpoint at (-4, -2) and its edges at (-4, 1) and (-4, -5).

The equation of a circle in a plane is (x - h)² + (y - k)² = r²

the circle has a radius of 3 units (from -2 to 1 or from -2 to -5)

(x - (-4))² + (y - (-2))² = 3²

when we simplify, it becomes (x + 4)² + (y + 2)² = 9

2. The equation of a circle with diameter AB. A (1, 1), B(1, 11) is

h = (x₁ + x₂)/2 ⇒(1 + 1)/2 = 1

k = (y₁ + y₂)/2⇒ (1 + 11)/2 = 6

the center of the circle is at (1, 6).

A and B which are (1, 1) and (1, 11), it's clear that the diameter is 10 units (11 - 1). Thus, the radius is 5 units.

(x - h)² + (y - k)² = r²

Substituting the obtained values we get

(x - 1)² + (y - 6)² = 5²

which becomes

(x - 1)² + (y - 6)² = 25

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The Mean = 9.778

The Median = 9

The Mode = 5 and 10

The Standard deviation = 6.21

The Range = 22

Mean:

To get, we will sum up all the values and divide by the total number of values.

Mean - Ef/n

Mean = (4 + 5 + 5 + 8 + 9 + 10 + 10 + 11 + 26) / 9

Mean = 88 / 9

Mean = 9.778

Median:

This means middle value of a dataset when arranged in ascending order. If there are two middle values, median is average of the two.

Arranging dataset in ascending order: 4, 5, 5, 8, 9, 10, 10, 11, 26. The Median is 9.

Mode:

The mode is the value that occur(s) most frequently in the dataset. In this dataset, the mode is 5 and 10 as both occur twice.

Standard Deviation:

Variance = [[tex](4 - 9.778)^2 + (5 - 9.778)^2 + (5 - 9.778)^2 + (8 - 9.778)^2 + (9 - 9.778)^2 + (10 - 9.778)^2 + (10 - 9.778)^2 + (11 - 9.778)^2 + (26 - 9.778)^2] / 9[/tex]

Variance = 38.617284

Variance = 38.62

Standard Deviation = √Variance

Standard Deviation = √38.62

Standard Deviation = 6.21449917532

Standard Deviation = 6.21

Range:

The range is difference between maximum and minimum values

Range = 26 - 4

Range = 22

b. The outline for the data set is as follows:

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The total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.

To find the total number of atoms represented by Cd(CH₂CICO₂)₂, we need to count the number of atoms of each element in the molecule and add them up.

Cd(CH₂CICO₂)₂ contains:

1 cadmium (Cd) atom

2 carbon (C) atoms

6 hydrogen (H) atoms

4 oxygen (O) atoms

2 chlorine (Cl) atoms

Adding these up, we get:

1 + 2 + 6 + 4 + 2 = 15

Therefore, the total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

The answer is (D) 15.

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The value of p when q is equal to 2 is 108

Inverse variation is the relationships between variables that are represented in the form of y = k/x, where x and y are two variables and k is the constant value.

This means as x increases y reduces and vice versa.

If p is inversely proportional to q, then

p = k/q

p = 18 and q = 12

18 = k/12

k = 18 × 12 = 216

When q =2

p = 216/2

p = 108

therefore the value of p is 108

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Answer:

Let's denote the number of football games Tommy started as "f" and the number of baseball games he started as "b."

We're given two pieces of information:

Tommy has started a total of 109 RHS games:

f + b = 109 (Equation 1)

The number of baseball games he started was five less than twice the number of football games he started:

b = 2f - 5 (Equation 2)

We can solve this system of equations to find the value of "f," which represents the number of football games Tommy started.

Substitute Equation 2 into Equation 1:

f + (2f - 5) = 109

Combine like terms:

3f - 5 = 109

Add 5 to both sides:

3f = 114

Divide both sides by 3:

f = 38

Therefore, Tommy started 38 football games.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Tommy started with 71