Simplify and show work

No: of ways can the disk jockey select no more than 11 CDs is 1012

Combinations are mathematical operations that count the number of possible configurations for a set of items where the order of the selection is irrelevant. You can choose the components of combinations in any order. Permutations and combinations can be mixed up.

Combinations with Repetition. ...

Combinations without Repetition. ...

Combinations with Repetition.

There are more options for him to pick from than just 11 CDs when choosing "no more than 8 CDs," including 11,10,9,8,7, 6, 5, 4, 3, and 1.

Ways to choose 9 CDs: 13C9=10

​Ways to choose 8 CDs: 13C8= 45

Ways to choose 7 CDs: 13C7 = 120

Ways to choose 6 CDs: 13C6= 210

Ways to choose 5 CDs: 13C5 = 252

Ways to choose 4 CDs: 13C4 = 210

Ways to choose 3 CDs: 13C3= 120

Ways to choose 2 CDs: 13C= 45

Ways to choose 1 CD: 13C1 = 10

10+45 + 120 + 210 + 252 + 210 + 120 + 45 + 10 = 1012

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Linear systems have no solution.

What are the solutions to the linear system?

The solution to a system of linear equations is the point that lies on both lines. In other words, the solution is the point where the two lines intersect

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).

How do you determine a linear system?

Simplify the equation as closely as possible to the form of y = mx + b. Check to see if your equation has exponents. If it has exponents, it is nonlinear. If your equation has no exponents, it is linear

Linear means something related to a line. All the linear equations are used to construct a line. A non-linear equation is such that it does not form a straight line. It looks like a curve in a graph and has a variable slope value.

Hence, the linear systems have no solution.

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Step-by-step explanation:

1.What is the equation of a parabola with a vertex at (0, 0)?

y = ax²; y = -ax²; x = ay²; x = -ay² where a = [½, 1 , 2]

Also an infinity of others at various values of a and various angles.

2.The focus lies above the vertex, so the parabola is vertical and the focal length p=10.25

Equation for up-opening parabola with vertex (h,k) and focal length p:

y=14p(x−h)2+k

y=14p(x−0)2+0y=141x2

3.Since the directrix is the line y=−10.25 , a point (x,y) is on the parabola if, and only if,

x2+(y−10.25)2=(y+10.25)2.

Therefore, x2−20.5y=20.5y and y=141x2.

hope I helped

Answer:

Step-by-step explanation: 347000 * 6.5% * 20%= 347000*0.065*0.2=4511

Answer is 4511

Answer:

$4,511

the agency makes 6.5% of 347000 which is 22,555 and the agent makes 20 percent of what the agency makes.

so 20% of 22,555 is 4511

The value of the function, f(g(x)), is [tex]f(g(x)) = 2(\sqrt{x+7} )- 3[/tex]. The correct option is the second option [tex]2(\sqrt{x+7} )- 3[/tex]

From the question, we are to determine the value of the given function, f(g(x))

From the given information,

The given functions are

[tex]f(x) = 2x- 3[/tex]

and

[tex]g(x) = \sqrt{x+7}[/tex]

To determine the value of f(g(x)), we will substitute the value of g(x) into the function, f(x)

That is,

[tex]f(x) = 2x- 3[/tex] becomes

[tex]f(g(x)) = 2(\sqrt{x+7} )- 3[/tex]

Hence, the value of f(g(x)) is [tex]2(\sqrt{x+7} )- 3[/tex]

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Answer:

y = 0.5x

Step-by-step explanation:

Slope = m = (2-0)/(1-0) = 1/2 or 0.5

y-intercept = b = 0 since it passes through (0,0)

Slope-Intercept form of a line is y = mx + b

So the equation is
y = 0.5x + 0

or

y = 0.5x

Answer:845

Step-by-step explanation:

Answer:

Here is the work

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

2 : 1/4

2 x 4/1

2 x 4

8

A clothing store offers customers a holiday sale of 30% off the price of x items. A customer then has an additional 15% off coupon that can be used when checking out then the function is  P(x) = 0.595x

Original price = x

Sale price  = 30% off:

x - 30%  =

x - 0.3x =

0.7x

Further discount 15% off:

0.7x - 15% =

0.7x - 0.7x*0.15 =

0.7x - 0.105x =

0.595x

The function is:

P(x) = 0.595x

Correct choice is C

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Answer:

Step-by-step explanation:

answer is c

We know that Maya's earnings will be $498 for working 41 hours using simple mathematical operations.

A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations.

Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction are the steps that we can remember in that order using PEMDAS (from left to right).

So, earnings of Maya when she works for 41 hours are:

We know that Maya works for $12.00 per hour.

She's paid 1.5 times her hourly income when she works for more hours after 40 hours.

That will be: 12 × 1.5 = $18

Hence, Maya's income for 41 hours will be:

40 hours + 1 hour (Extra hour)

(12 × 40) + 18

480 + 18

$498

Therefore, we know that Maya's earnings will be $498 for working 41 hours using simple mathematical operations.

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Answer:

answer = 19.2

Step-by-step explanation:

48 = 24 + 1.25x

48 - 24 = 1.25x

24 = 1.25x

24/1.25 = x

19.2 = x

Taylor conducted a study using a 2x2 factorial design, and one of the independent variables was linked to a substantial main effect with significant difference.

A post-hoc test is not appropriate in this situation because it cannot provide reliable information about the conditions that are causing the significant difference. Post-hoc tests are only appropriate for small sample sizes and cannot be used to draw any definitive conclusions about the causes of a significant main effect.

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The diffusion time of the red blood cell to take oxygen through the membrane is 25uS.

The small capillaries in the lungs are in close contact and it takes a red blood cell 0.5 seconds to squeeze through the capillary.

The diffusion time for the oxygen across the 1 um thick membrane separating the air is given by,

t = x²/2D

Where,

t is the diffusion time,

x is the thickness of the membrane,

D is the diffusion coefficient.

Putting values,

t = (1 x 10⁻⁹)²/2 x 2 x 10⁻¹¹

t = 10⁻⁷/4

t = 25 x 10⁻⁹ seconds.

t = 25 uS.

so, the diffusion time is 25uS.

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Answer: x=-19/7 or -2.71428571

Step-by-step explanation:

first you have to subtract 10 from each side to isolate the variable x. So -9-10=-19, and 10-10=0. Then to find x, you divide both sides by its coefficient, in this case 7.

1.not proportional

2.proportional:

Step-by-step explanation:

the first one has no constant rate meanwhile the second table goes up 14 for every 10 in y

Carol had four times as many coins as Eli had, or a 4:1 ratio.

An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, if there is 1 male and 3 girls, you may express the ratio as 1: 3 (there are 3 girls for every guy), meaning that there are 1 in 4 boys and 3 in 4 girls. A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).

Here,

Dan has twice what Eli has ( D= 2 x E )

Carol had twice what Dan had ( C = 2 x D )

for example , let's suppose Eli had 2 coins

this means Dan had 4 coins,

and Carol had 8 coins .

carol 8 : 2 Eli

=4:1

The ratio in which carol had to the number of coin eli had will be 4:1.

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The distance in units of 2√5 between the point A(-2,3) and the line y =1/2x1.

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two different points on a line can be used to calculate the slope of any line.

The ratio of "vertical change" to "horizontal change" between two different points on a line is calculated using the slope of a line formula.

We will comprehend the slope-finding method and its applications in this article.

According to our question-

10/√5 *√5/√5*105/√5

Hence, The distance in units of 2√5 between the point A(-2,3) and the line y =1/2x1.

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By using the concept of maxima,  it can be  determined that

[tex]f_x(x, y) = \frac{y}{2\sqrt{x}} - 3[/tex]

[tex]f_y(x, y) = \sqrt{x} - 2y +11[/tex]

[tex]f_{xx}(x, y) = -\frac{1}{4}x^{-\frac{3}{2}}[/tex]

[tex]f_{yy} = -2[/tex]

[tex]f_{xy} = \frac{1}{2\sqrt{x}}[/tex]

Critical point with the smallest x - coordinate

(0, [tex]\frac{11}{2}[/tex])

Classification cannot be determined

Critical point with the next smallest x - coordinate

(1, 6)

Classification is local maxima

What is maxima of a function?

Maxima of a function gives the maximum value of a function in a given interval or within the whole domain.

f(x, y) = [tex]y\sqrt{x} -y^2 -3x + 11y[/tex]

[tex]f_x(x, y) = \frac{y}{2\sqrt{x}} - 3[/tex]

[tex]f_y(x, y) = \sqrt{x} - 2y +11[/tex]

Putting x = 0 in [tex]f_y(x, y) = 0[/tex],

-2y + 11 = 0

[tex]y = \frac{11}{2}[/tex]

[tex](0, \frac{11}{2})[/tex] is a critical point

Putting [tex]f_x(x, y) = 0[/tex] and [tex]f_y(x, y) = 0[/tex]

[tex]\frac{y}{2\sqrt{x}} - 3 = 0\\\frac{y}{2\sqrt{x}} = 3\\y = 6\sqrt{x}[/tex]

[tex]\sqrt{x} - 2y+11 = 0\\\sqrt{x} -2\times 6\sqrt{x}+11=0\\\sqrt{x}-12\sqrt{x} + 11 = 0\\11\sqrt{x} = 11\\\sqrt{x} = \frac{11}{11}\\\sqrt{x} = 1\\x = 1[/tex]

When x = 1, y = [tex]6 \times \sqrt{1} = 6[/tex]

(1, 6) is a critical point

[tex]f_{xx}(x, y) = -\frac{1}{4}x^{-\frac{3}{2}}[/tex]

[tex]f_{yy} = -2[/tex]

[tex]f_{xy} = \frac{1}{2\sqrt{x}}[/tex]

The point (0, [tex]\frac{11}{2}[/tex]) is undefined in the second order partial derivative

For the critical point (1, 6)

[tex]f_{xx}(1, 6) = -\frac{1}{4}\\f_{yy}(1, 6) = -2\\f_{xy}(1, 6) = \frac{1}{2}[/tex]

[tex]f_{xx}f_{yy}-(f_{xy})^2[/tex]

[tex]-\frac{1}{4}\times -2-(\frac{1}{2})^2\\\frac{1}{2} - \frac{1}{4}\\\frac{1}{4} > 0[/tex]

[tex]f_{yy} = -2 < 0[/tex]

Hence (1, 6) is a point of local maxima

So it can be  determined that

[tex]f_x(x, y) = \frac{y}{2\sqrt{x}} - 3[/tex]

[tex]f_y(x, y) = \sqrt{x} - 2y +11[/tex]

[tex]f_{xx}(x, y) = -\frac{1}{4}x^{-\frac{3}{2}}[/tex]

[tex]f_{yy} = -2[/tex]

[tex]f_{xy} = \frac{1}{2\sqrt{x}}[/tex]

Critical point with the smallest x - coordinate

(0, [tex]\frac{11}{2}[/tex])

Classification cannot be determined

Critical point with the next smallest x - coordinate

(1, 6)

Classification is local maxima

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Answer: The correct answer is h=a/4b^5

Step-by-step explanation:

Solve for h

a=4b^5h

Flip the equation

4b^5h=a

Divide both sides by 4b^5

4b^5h/4b^5 = a/4b^5

h=a/4b^5

Answer:

60 minutes. (1 hour)

Step-by-step explanation:

An average recreational tank containing 200 bars or 12 L of air should last you for 60 minutes. However, several factors come into play while determining the lifespan of a scuba air cylinder. The amount of air that a diver needs depends on their air consumption rate, which in turn is based on their physical exertion level.

Answer: you have to say at what rate. we cant answer this question. there is  part of this question that is missing.

The sales price of the coat is 67.5% of the original price

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

Markdown rate = 10%

Second discount = 25%

The retail price of the coat can be calculated using the following equation

Retail price = original price * (1 - Markdown rate) * (1 - discount)

Substitute the known values in the above equation, so, we have the following representation

Retail price = original price * (1 - 10%) * (1 - 25%)

Evaluate the products

Retail price = original price * 0.675

Rewrite as

Retail price = 67.5% of the original price

Hence, the sales price is 67.5% of the original price

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Answer: -2x + 3

Step-by-step explanation:

Subtract like terms. But first, there is a negative in front of the parenthesis of (-6x+2), use the distributive property.

-(6x+2), multiply each number inside of the parenthesis by -1:

-1 * -6x   +   -1 * 2

6x - 2

Now remove the parenthesis and add (or subtract) like terms.

-8x + 5 + 6x - 2

-8x + 6x = -2x

5 - 2 = 3

-2x + 3

In the big bucks lottery, there are chances that 10 out of 1000 people will win the lottery.

If there are 1000 people in the Big Bucks lottery and there is a 1 percent chance of winning 10 dollars prize if all 1000 people buy the lottery ticket of 10 dollars. If every person buys 10 dollar lottery ticket, then the chances of winning people would be calculated as follows:

Total number of People = 1000

Chances of winning the lottery = 1%

How many people would win 10 dollar lottery = 1000 * 1%

= 1000 * 0.01

= 10 People.

So there are chances that 10 out of 1000 people will win the lottery.

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Repeating decimal representation will be 3/13, 7/24. Terminating decimal representation will be 3/16, 4/125.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system. The base-10 number system, arguably the most widely used number system, is referred to as decimal. The decimal number system consists of ten single-digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. The number following nine is 10.

Here,

Repeating decimal representation,

=3/13, 7/24

Terminating decimal representation,

=3/16, 4/125

3/13 and 7/24 will be repeated in decimal form. The final two decimal places are 3/16 and 4/125.

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Answer: x^2 (x+1) (4x-9)

Step-by-step explanation:

We can test the equation above x^2 (x+1) (4x-9) to see if it is true or not by rewriting it

x^2 ( 4x^2 -9x +4x -9)

x^2 (4x^2 - 5x -9)

4x^4 - 5x^3 - 9x^2

So x^2 (x+1) (4x-9) is the correct answer for this equation!

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Answer: unit rate is $0.16

1 bottle cost $0.16

Step-by-step explanation:

Answer:centroid

Step-by-step explanation:

Answer:Centroid I hope this helpful to you mark me brainlist if correct

Step-by-step explanation:

Hence, the correct statement is "The Centroid of a triangle is located 2/3 of the distance from each vertex to the midpoint of the opposite side."The centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians. The median is a line that joins the midpoint of a side and the opposite vertex of the triangleCentroid theorem: the distance between the centroid and its corresponding vertex is twice the distance between the barycenter and the midpoint of the opposite side. That is, the distance from the centroid to each vertex is 2/3 the length of each median. This is true for every triangleThe centroid of a triangle is the intersection of the three medians of the triangle (each median connecting a vertex with the midpoint of the opposite side).