The data gives the values of the 29 teams in the National Basketball Association, along with their operating incomes and revenues. Plots and correlations show that revenue predicts team value much better than does operating income. The least-squares regression line for predicting value from revenue is as follows: value = -123.298 + 4.242 revenue (a) What is the slope of this line?: 4.242 (b) The HORNETS are the NBA's most valuable team, valued at $547 million, with $147 million in revenue. Use the line to predict the value of the HORNETS from their revenue. What is the error in this prediction?: -123.298 + (4.242 * 147) = 500.276 547 - 500.278 = 46.724 (c) What is the correlation of revenue and value?: r = ?

Answer:

0.5 cm

Step-by-step explanation:

C = 15°

B = 105°

b = 2 cm

Applying the law of sines, we have:

\( \frac{2}{sin(105)} = \frac{c}{sin(15)} \)

Cross multiply

\( sin(105)*c = 2*sin(15) \)

Divide both sides by sin(105)

\( c = \frac{2*sin(15)}{sin(105)} \)

\( c = 0.5 cm \) (nearest tenth)

Area of a circle is PI x r^2

The radius of the large circle is shown as 8 m

The diameter of A is the radius of the large circle which is 8 m so the radius would be 4 m

The radius of the small circle would be 2m

Area of large circle = pi x 8^2 = 64pi = 200.96 square m

Area of middle circle = pi x 4^2 = 16pi = 50.24 square m.

Area of small circle = pi x 2^2 = 4pi = 12.56 square m.

The area of the shaded region = large - middle + small

Area = 64pi - 16pi + 4pi = p2pi square m or 200.96 -50.24 + 12.56 = 163.28 square m.

The standard deviation of the scores of all the students in the class to be:

σ = √[(Σ(x - 80)2) / 50] = 11.18

The standard deviation of the scores of all the students in the class is calculated using the formula

σ = √[(Σ(x - μ)2) / N]

where μ is the mean of the scores and N is the total number of students in the class.

In this case, the total number of students in the class is 50 (30 from section 1 and 20 from section 2). Let's assume that the mean of the scores for all students is 80.

Therefore, the standard deviation of the scores of all the students in the class is calculated as follows:

σ = √[(Σ(x - 80)2) / 50]

In this equation, Σ(x - 80)2 is the sum of the squared differences between each student's score and the mean. We can calculate this sum by first finding the squared difference for each student and then adding them up.

For example, if the scores of the 30 students in section 1 are 86, 95, 78, etc., the squared differences will be (86 - 80)2 = 36, (95 - 80)2 = 225, (78 - 80)2 = 4, and so on. Adding all these squared differences will give us the sum of the squared differences for all the students in the class.

Finally, substituting this sum and the value of N (50) in the formula, we get the standard deviation of the scores of all the students in the class to be:

σ = √[(Σ(x - 80)2) / 50] = 11.18

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Answer: 2y - 6

Step-by-step explanation:

This problem utilizes the Distributive Property of Multiplication.  It states that: a(x + y) = ax + ay.

Thus, utilizing this property (distributing -3), change the equation into:

5y - 3y - 6

Then, simply combine like terms to get:

2y - 6

Hope it helps :) and let me know if you want me to elaborate.

to get the slope of any straight line, we simply need two points off of it, let's use those in the picture below.

\((\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{0}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{(-4)}}} \implies \cfrac{8 }{2 +4} \implies \cfrac{ 8 }{ 6 } \implies \cfrac{4 }{ 3 }\)

Answer:

The ratio of the circumference to its diameter remains the same.

Step-by-step explanation:

Given,

diameter of circle = 6 inch

diameter is doubled.

New diameter of circle = 2 x 6 = 12 inch

We know that,

The Circumference of a circle is 2 π r or π d where r is the radius of the circle and d is the diameter of the circle.

Circumference of the circle when the diameter is 6 inches.

C₁ =   6π

Ratio of circumference to diameter

Ratio = \(\dfrac{6\pi}{6}\)

Ratio =  π

When the diameter is 12 inches

C₂ = 12 π

Ratio of circumference to diameter

Ratio = \(\dfrac{12\pi}{12}\)

Ratio =  π

Now, the correct statement is the ratio of the circumference to its diameter remains the same if the diameter is doubled.

Answer:

We need to find how much more or less the ratio becomes

1.61 / 23 = 0.07

we multiply 0.07 with 1 to make the ratio even and get your answer

1 x 0.07 = 0.07 on the map

Hope this helps

Step-by-step explanation:

Without more information or a diagram, it's not possible to definitively determine which side-angle relationship (ASA, AAA, SSS, SAS) the triangle fits. These acronyms represent different combinations of sides and angles known in a triangle.

Given the question, it's clear that we are discussing a concept in Geometry - the side-angle relationships in a triangle. However, without more information or an accompanying diagram, it isn't possible to definitively determine which of the side-angle relationships (ASA, AAA, SSS, SAS) the triangle fits. These acronyms represent different combinations of side and angle information known about a triangle. For example, ASA means that we know two Angles and the Side between them. SAS relates to knowledge of two Sides and the Angle between them, and so forth. More information or a visual representation would allow a more conclusive answer.

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It takes 10 minutes for the number of bacteria in the population to double.

To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.

The given function is f(t) = 60,000 * 2^(t/10).

To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:

120,000 = 60,000 * 2^(t/10).

Next, we can simplify the equation by dividing both sides by 60,000:

2 = 2^(t/10).

Since both sides of the equation have the same base (2), we can equate the exponents:

t/10 = 1.

To solve for t, we multiply both sides by 10:

t = 10.

Therefore, it takes 10 minutes for the number of bacteria in the population to double.

This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.

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if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.

We want to verify the trigonometric  identity;

cos (α - β)/(cos α sin β) = cot β + tan α

Now, according to trigonometric identities in mathematics, we know that;

cos (α - β) = (cos α cos β) + (sin α sin β)

Thus, plugging that back into our left hand side of the main question gives;

[(cos α cos β) + (sin α sin β)]/(cos α sin β)

Rewriting this expression by separating the denominator gives;

[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)

Using quotient identities, this can be simplified to;

cot β + tan α

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By answering the presented question, we may conclude that As a result, the slope of \(y_3\) = -4(x - 5) is -4.

The slope of a line indicates how steep it is. The term "gradient overflow" refers to a mathematical equation for the gradient (the change in y divided by the change in x).

The slope is defined as the ratio of the vertical change (rise) between two places to the horizontal change (run). The slope-intercept form of an equation is used to express a straight line's equation, which is written as y = mx + b.

The y-intercept is found where the slope of the line is m, b is b, and (0, b). For example, the slope and y-intercept of the equation y = 3x - 7 (0, 7). The slope of the line is m. b is b at the y-intercept, and (0, b).

The above equation is in point-slope form: y - \(y_1\)= m(x - \(x_1\)), where (\(x_1\), \(y_1\)) is a point on the line and m is the slope.

We can see by comparing the provided equation to the point-slope form that \(x_{1} ,y_1\)) = (5, 3) and m = -4.

As a result, the slope of \(y_3\) = -4(x - 5) is -4.

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The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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4.)

A.)

P = 140

i = 0.05

B.)

140(1.05)^t

C.)

0 = 140

10 = 228.05

5.)

A.) The y-intercept is how much the cell phone cost to purchase.

B.) V means value, t meaning years was replaced by 4, and 31.25 is how much it's worth at that time.

C.) The graph is decreasing, and the value goes down with time.

I do not understand what do you mean

Answer:

\(\frac{167}{24}or\) \(6\frac{23}{24}\)

Step-by-step explanation:

\(9\frac{5}{6} -2\frac{7}{8} =\)

Convert to an improper fraction.

\(\frac{59}{6}-\frac{23}{8}\)

Find a common denominator.

\(\frac{236-69}{24}\)

Simplify

\(\frac{167}{24}=6\frac{23}{24}\)

good luck, hope this helps :)

Answer: 2277 Newtons

Step-by-step explanation:

I will show you how to do this the Physics way, so first we must write down our given values.

gravitational field = gravity = 25.3 N/kg

Mass of the astronaut = 90kg

Fun fact: know that if you convert the Newtons to a different unit, Newtons = kg (m/s^2) so we can say that instead of N/kg, we can write it as m/s^2 because if we divide kg(m/s^2) with kg, you’ll end with m/s^2

If you’re in physics, we always work with m/s^2 for every acceleration that exists. So we basically have 25.3 m/s^2 for gravity.

To find the weight, we can use the F=ma formula but rewritten as Weight = mass * gravity

Weight = (90kg)(25.3 m/s^2) = Option D = 2277 Newtons

Answer:

9 pounds of shrimp will be sold in 9 hours i think.

i dont realy understand the way u wrote it but pls put brainliest

Answer:

yea i thik hes right

Step-by-step explanation:

Answer:

a. -1

e. 5/4

Step-by-step explanation:

Hi there!

The quadratic formula: \(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\) where the given quadratic is in the form \(ax^2+bx+c=0\)

From the given equation \(4x^2-x-5 = 0\), we can identify the values of a, b, and c:

a=4

b=-1

c=-5

Plug these values into the quadratic formula:

\(x=\frac{-(-1)\pm\sqrt{(-1)^2-4(4)(-5)}}{2(4)}\\x=\frac{1\pm\sqrt{81}}{8}\)

\(x=\frac{1\pm9}{8}\)

\(x=\frac{1+9}{8}= \frac{5}{4} \\x=\frac{1-9}{8} = -1\)

Therefore, the solutions to the quadratic are 5/4 or 1.

I hope this helps!

Answer:

B I'm pretty sure..............

Answer:

14, 15, 16

Step-by-step explanation:

45-2 The difference in integers, that way they're all the same number

43/3=14

14, 15, 16

Given :

Trey is putting up fence around a 750 foot by 540 foot lot.

To Find :

How many feet of fence does he need.

Solution :

Perimeter is given by :

\(P=2(L+B)\)

Putting value of L and B above , we get :

\(P=2\times ( 750+540)\ foot\\\\P=2580\ foot\)

Therefore, 2580 foot of fence is required.

Hence, this is the required solution.

Answer:

-35.2

Step-by-step explanation:

-68.4-(-15.6)= (-52.8)

-52.8÷3=(-17.6)

-52.8-(-17.6)=-35.2

Answer:-35.2

Step-by-step explanation:

Both Kylie and Bennet are correct.

Opposite of the opposite of a number is negative if the number is a positive number.

Opposite of the opposite of a number is positive if the number is a negative number.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = x

The Opposite of x is -x.

Opposite of -x.

= -(-)

= x

Number = -x

The opposite of -x.

= -(-x)

= x

The opposite of x.

= -x

Thus,

Both the person is correct.

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For Ф=-π/3 it is found in second quadrant, Ф=-π/4 is also found in second quadrant and Ф=-5π/6 in fourth quadrant.

What exactly are quadrants?

A quadrant is an area specified by the coordinate system's two axes (x and y). When the two axes, x and y, cross at 90 degrees, the four areas generated are known as quadrants. These areas include both positive and negative x- and y-axis coordinate values. The coordinates reflect a point's location in a quadrant.

In the Coordinate Plane, there are four quadrants.

Based on such values, the graph is split into parts or four quadrants.

The first quadrant is located in the upper right-hand corner of the graph. Both x and y values are positive in this quadrant.

The second quadrant is located in the upper left-hand corner of the graph. The value of x in this quadrant is negative, whereas the value of y is positive.

The third quadrant is located in the graph's lower left-hand corner. It has negative values for both x and y.

Fourth Quadrant: Finally, the fourth quarter is in the lower right-hand corner, with a positive x and a negative y value.

Now,

For quadrants, upto value of π/2 angles are in first qudrants

and upto -π/2 and π/2 to π are in second quadrant

and -π/2 to -π are in fourth quadrant.

Hence,  

          For Ф=-π/3 it is found in second quadrant, Ф=-π/4 is also found in second quadrant and Ф=-5π/6 in fourth quadrant.

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Answer:

Step-by-step explanation:

your answer if 4

The institution from the industrial revolution is the national institute of space and technology. Hence, option B is correct.

Agrarian and handcraft economies were replaced by industrialized and machine production during the Industrial Revolution in modern history. New modes of living and working were made possible by these technical advancements, which profoundly altered society.

In the 18th century, this practice started in Britain and then extended to other regions of the world. The English economics professor Arnold Toynbee (1852–83), who originally used the word to characterize Britain's economic growth from 1760 to 1840, although it had been used by French writers earlier.

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The zeros and the multiplicities are

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

f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³

The power of each factor are the multiplicities

So, we have

Zero(s) of multiplicity one:

x - 6 = 0

Zero(s) of multiplicity two:

x - 11 = 0

Zero(s) of multiplicity three:

x + 6 = 0 and x + 5 = 0

When evaluated, we have

Zero(s) of multiplicity one:

x = 6

Zero(s) of multiplicity two:

x = 11

Zero(s) of multiplicity three:

x = -6 and x = -5

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