Which function is nonlinear?
A. 9y+3=0

B. y--4x=1

C. y=2+6x square 4

D. x--2y=7

E. x over y +1 = 2

The division expression shown in the model attached to this question is 1/2 ÷ 3

The model missing in the question is added as an attachment

In the model, we have

Shaded sections = 3

Partitons = 1/2

This means that

Division expression = Partitons ÷ Shaded sections

Substituting the above expressions, we have

Division expression = 1/2 ÷ 3

This means that the division expression is 1/2 ÷ 3

When the expression is solved, we have

Division expression = 1/6

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Complete question

Which division expression is shown in the model?

See attachment

The indefinite integral of x(5x^2 - 5)^9 dx is:

(5x^2 - 5)^8 / 40 + c

We can find the indefinite integral using the following steps:

1. We can write the integral as (5x^2 - 5)^9 * x^1 dx.

2. We can use the power rule of integration, which states that the integral of x^n dx is x^(n + 1) / (n + 1) + c, where c is the constant of integration.

3. We can simplify the result and add the constant of integration.

The following is the step-by-step solution:

```

∫ x(5x^2 - 5)^9 dx = ∫ (5x^2 - 5)^9 * x^1 dx

= (5x^2 - 5)^9 / 9 + c

```

To check the result, we can differentiate the result and see if we get the original integral.

```

d/dx [(5x^2 - 5)^8 / 40 + c] = (5x^2 - 5)^8 * (10x) / 40 + 0 = x(5x^2 - 5)^8 = ∫ x(5x^2 - 5)^9 dx

```

As we can see, we get the original integral back. Therefore, the answer is correct.

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The probability that it stops working in less than 2 years is 0.40.

Given:

the probability that a new microwave oven will stop working in less than 2 years is 0.05. the probability that a new microwave oven is damaged during delivery and stops working in less than 2 years is 0.04. the probability that a new microwave oven is damaged during delivery is 0.10.

here

P ( A ∩ B ) = 0.04

P ( A ) = 0.10

we know that,

According to conditional probability:

P ( B / A ) = P ( A ∩ B ) / P ( A )

substitute values

= 0.04 / 0.10

= 004 / 100 / 010/100

= 4 / 100 * 100 / 10

= 4 * 100 / 100 * 10

= 4 * 1 / 10 * 1

= 4 / 10

= 0.40

Therefore the probability that it stops working in less than 2 years is 0.40.

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The length of the arc OQP is 4π.

The length of the arc OQP can be found as follows:

Let's find the radius of the circle using the area of the shaded region as follows:

area of the shaded region = ∅ / 360  × πr²

3π = 120 / 360 × πr²

3π = 1 / 3 πr²

cross multiply

πr² = 9π

divide both sides by π

r² = 9

r = √9

r = 3

Therefore, let's find the length of an arc as follows:

length of arc OQP = ∅/ 360 × 2πr

length of arc OQP = 240 / 360 × 2 × π × 3

length of arc OQP = 24 / 36 × 6π

length of arc OQP = 24π / 6

length of arc OQP = 4π

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The acute angles of right triangle are 36° and 54°

An acute angle is defined as an angle that measures less than 90 degrees i.e. measure between 0° to 90°. Some of the examples are 60°, 30°, 45 degrees, etc.

Let 'x' and 'y' are the acute angles of the right angle triangle.

As we know that the one acute angle is 2 time the difference of the other angle and 9 which means 2(x - 9) = y....eq.(1)

And we already know that x + y = 90....eq.(2)

Now, we will solve this equation 2(x - 9) = y  :

2x - 18 = y

2x - y = 18....eq.(3)

Adding the equation 3 and equation 2 :

 2x  -  y  = 18

  x  +  y  = 90

------------------------

     3x  =  108

    'x'  = 36

By adding x = 36 in equation 2 we got :

    'y' = 54

Therefore, the acute angles will be 36° and 54°.

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Answer:

435

Step-by-step explanation:

Transformations are used to change the orientation of a function to a new function. The graph of \(f(x) = x^2\) will have its parabola widened when it changes to \(g(x) = 3x^2\)

Given that

\(f(x) = x^2\)

If the new function is:

\(g(x) = 3x^2\)

It means that f(x) has been vertically translated by a scale factor of 3.

The graph will be affected such that the parabola of \(f(x) = x^2\) will become widen when the coefficient changes to 3 i.e. \(g(x) = 3x^2\).

See attachment for the graph of f(x) and g(x)

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Answer:

st i think

Step-by-step explanation:

Answer:

I seem to have learned this, but I just don't remember how to do it? Even if I remember, I don't know how to count it?

To show that min{X,Y} is exponentially distributed with parameter 2λ, we need to demonstrate that it satisfies the properties of an exponential distribution.

First, let's find the cumulative distribution function (CDF) of min{X,Y}. The CDF represents the probability that the random variable takes on a value less than or equal to a given value.

CDF of min{X,Y}:

F(z) = P(min{X,Y} ≤ z)

Since X and Y are independent, the probability that both X and Y are less than or equal to z is equal to the product of their individual probabilities:

F(z) = P(X ≤ z, Y ≤ z) = P(X ≤ z)P(Y ≤ z)

Since X and Y are exponentially distributed with parameter λ, their individual CDFs are given by:

P(X ≤ z) = 1 - e^(-λz)

P(Y ≤ z) = 1 - e^(-λz)

Therefore, the CDF of min{X,Y} can be expressed as:

F(z) = (1 - e^(-λz))(1 - e^(-λz))

Simplifying this expression, we get:

F(z) = 1 - 2e^(-λz) + e^(-2λz)

Now, let's differentiate the CDF to find the probability density function (PDF) of min{X,Y}. The PDF represents the rate at which the random variable changes at a given point.

f(z) = d/dz F(z)

= 2λe^(-λz) - 2λe^(-2λz)

We can observe that the PDF of min{X,Y} resembles the PDF of an exponential distribution with parameter 2λ. The only difference is the coefficient 2λ in front of each term. Therefore, we can conclude that min{X,Y} follows an exponential distribution with parameter 2λ.

Hence, we have shown that min{X,Y} is exponentially distributed with parameter 2λ when X and Y are independent exponential random variables with parameter λ.

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Answer:

7 and 1

Step-by-step explanation:

Let the numbers be a and b.

A positive number is 7 times another number:

If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:

To solve this we substitute a with 7b in the second equation:

Then, finding a:

So the numbers are 7 and 1

Answer:

1 1/4 yards

$20

Step-by-step explanation:

The amount of fabric more that she needs can be determined by subtracting the sum of the yards needed for the shawl and the dress from the fabric she has

sum of the yards needed for the shawl and the dress =

\(2\frac{1}{2} + 1\frac{3}{4}\)

\(3\frac{2 + 3}{4}\) = \(3\frac{5}{4}\) = \(4\frac{1}{4}\)

Yards needed

\(4\frac{1}{4} - 3\) = \(1\frac{1}{4}\)

cost of dance outfit = $16 x \(1\frac{1}{4}\)

\(\frac{5}{4}\) × $16  = $20

21. Area as sum = 12x + 60

Area as Product = 12(x + 5)

22. Area as sum = 5x + 20

Area as Product = 5(x + 4)

As a product, we can multiply the height and the base of the rectangle.

As a sum, we can find the area finding the sum of the areas of each pieces of the rectangle.

The missing pieces of that will fill into the circles is shown in the diagram attached below. Therefore, we would have the following:

21. Area as sum = 12x + 60

Area as Product = 12(x + 5)

22. Area as sum = 5x + 20

Area as Product = 5(x + 4)

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Answer:

i have no idea if this is right tbh i got it off another site- sorry its so late bro. maybe itll help other ppl

Step-by-step explanation:

[(2y + 3)(y - 5)]/[(3y + 1)(y - 3)][(3y - 1)(3y + 1)]/[(2y - 3)(2y + 3)[(2y - 3)(y - 3)/[(y - 2)(y + 5)] =

[(y - 5)(3y - 1)]/[(y - 2)(y + 5)]

The simplification of the [(2y² - 7y - 15)]/[(3y²-8y - 3] x (9y² - 1)/(4y² - 9) + (y² + 3y - 10)/(2y² - 9y + 9) will be (4y² - 13y - 5)/[(y - 3)(2y - 3)].

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given expression,

[(2y² - 7y - 15)]/[(3y²-8y - 3] x (9y² - 1)/(4y² - 9) + (y² + 3y - 10)/(2y² - 9y + 9)

⇒ [(2y - 3)(y - 5)]/[(3y + 1)(y - 3) x [(3y - 1)(3y + 1)/[(2y + 3)(2y - 3)] + [(y + 2)(y + 5)\/[(2y - 3)(y - 3)]

⇒ [ (2y - 3)(y - 5) + (y - 2)(y + 5)]/(2y - 3)(y - 3)

⇒ (4y² - 13y - 5)/[(y - 3)(2y - 3)]

Hence "The simplification of the [(2y² - 7y - 15)]/[(3y²-8y - 3] x (9y² - 1)/(4y² - 9) + (y² + 3y - 10)/(2y² - 9y + 9) will be (4y² - 13y - 5)/[(y - 3)(2y - 3)]".

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Answer:

30.55 + 6.18 = $36.73

Step-by-step explanation:

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18 liters of the 10% alcohol solution should be mixed with the 12 liters of the 20% alcohol solution to obtain a 14% alcohol solution by concentration calculations.

To obtain a 14% alcohol solution, 6 liters of a 10% alcohol solution should be mixed with 12 liters of a 20% alcohol solution.

Let's break down the problem step by step. We have two solutions: a 10% alcohol solution and a 20% alcohol solution. Our goal is to find the amount of the 10% alcohol solution needed to mix with the 20% alcohol solution to obtain a 14% alcohol solution.

To solve this, we can set up an equation based on the concept of the concentration of alcohol in a solution. The equation can be written as follows:

0.10x + 0.20(12) = 0.14(x + 12)

In this equation, 'x' represents the volume (in liters) of the 10% alcohol solution that needs to be added to the 20% alcohol solution. We multiply the concentration of alcohol (as a decimal) by the volume of each solution and set it equal to the concentration of alcohol in the resulting mixture.

Now, we can solve the equation to find the value of 'x':

0.10x + 2.4 = 0.14x + 1.68

0.14x - 0.10x = 2.4 - 1.68

0.04x = 0.72

x = 0.72 / 0.04

x = 18

Therefore, 18 liters of the 10% alcohol solution should be mixed with the 12 liters of the 20% alcohol solution to obtain a 14% alcohol solution by concentration calculations.

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12.56

Step-by-step explanation:

A = π x r^2

r =2

2^2 = 4

π × 4 = 12.56

Answer:

13 2/15

Step-by-step explanation:

A. The value of x coordinate for each coin are:xA = 5.0 cmxB = -5.0 cmxC = 0 cm

Let’s say, coin A lies on the right corner of the square, coin B lies on the left corner of the square and coin C lies on the bottom corner of the square. The distance from the center of the square to each corner is 5.0 cm.The x coordinate of the center is calculated as follows:For coin A: 10.0/2 = 5.0 cmFor coin B: -10.0/2 = -5.0 cmFor coin C: 0B. The value of y coordinate for each coin are:yA = -5.0 cmyB = -5.0 cmyC = 5.0 cm.For coin A: The distance from the center of the square to coin A is 5.0 cm in the downward direction, hence yA = -5.0 cmFor coin B: The distance from the center of the square to coin B is 5.0 cm in the upward direction, hence yB = -5.0 cmFor coin C: The distance from the center of the square to coin C is 5.0 cm in the upward direction, hence yC = 5.0 cmC. The x and y coordinates of the center of gravity of the three coins described in Part A are:xcg = 0ycg = -5.0/3 = -1.6667 cmExplanation:The center of gravity of the coins lies at the point of intersection of the median lines of the triangle formed by joining the centers of the three coins.

Therefore, the center of gravity is at the point of intersection of the line joining the midpoints of the lines connecting A and B and C and the midpoint of the line connecting A and C and B and C. The midpoint of AB and C is (0, -5/2) and the midpoint of AC and B is (5/2, -5/2). The line joining these two points is y = -x - 5/2. This line will intersect with the line passing through the center of coin C and perpendicular to AB at (0, -5/3). Hence, the center of gravity of the system lies at the point (0, -5/3) = (0, -1.6667 cm).The explanation is more than 100 words, explaining the solution to the problem by using proper formulas and steps.

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Answer:

8 weeks?

Step-by-step explanation:

25x8=200

or 200/25=8

The solution of the equation 4x = 20, x – 11 = 9, 5x + 6x = 22, and 5(x – 2) = 30 will be 5, 20, 2, and 8.

The solution of the equation means the value of the unknown or variable.

The equations are given below.

4x = 20

 x = 5

x – 11 = 9

      x = 20

5x + 6x = 22

       11x = 22

         x = 2

5(x – 2) = 30

   x – 2 = 6

         x = 8

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Answer:

To find the unit rate of one aloo parate, we need to divide the total cost of 15 aloo parates by the number of aloo parates.

The cost per aloo parate can be calculated by dividing $75 by 15 as follows:

Cost per aloo parate = $75 ÷ 15 = $5

Therefore, the unit rate of one aloo parate is $5.

Answer:

$5

Step-by-step explanation:

15 aloo parate = $75

1 aloo parate = 75÷15 = 5

So, 1 aloo parate costs $5

hope it helps! byeeee

Answer:

0.6

Step-by-step explanation:

the reason is because there are 5 different colors of marbles in the bag. it specifically says that each color has the same number of marbles for each color. so that would mean that there is 20% of each color of marble from the bag. its asking for three of the 5 colors. which means you would have a 60% chance of getting one of the colored marbles. which is were i got .6 from

Answer:

option d is a correct answer.....

Answer: the owner should gather more.

Step-by-step explanation:

So they can have more overall data to make sure they are correct.

The owner should gather more data.

"A proportion is an equation in which two ratios are set equal to each other."

Consider given situation,

The results on the first day: { yes, yes, yes, no, yes, no, yes, yes, no, yes, no, yes}

Total slips = 12

number of slips marked yes: n(Yes)

On day 1, n(Yes) = 8

So, the proportion of happy shoppers would be,

= 8/12

= 67.7%

This means, approximately 68% of the 12 selected slips were marked "Yes"

On a different day, the owner found that 25% of the 12 selected slips were marked "Yes"

This means the percentage of happy shoppers decreased.

From these two results we cannot determine where people are happy shoppers or not.

So, the owner should gather more data.

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Answer:

15:35

Step-by-step explanation:

Answer:

40.7432432432

Step-by-step explanation:

First you multiply 67 and 45 due to order of operations. This gives you 3015. After that you divide by 74 as it is on the right of the equation. 3015 divided by 74 is 40.7432432432

Answer:

been awhile greyfire changed name but its midnight

Step-by-step explanation:

No, it is not unusual to have 0 boys. Each of the four possibilities (0 boys, 1 boy, 2 boys, 0 girls) has a probability of 1/4, so it is equally likely to have 0 boys as any other outcome.

The probability distribution for the number of boys if a couple has 2 kids is as follows:

P(0 boys) = 1/4,

P(1 boy) = 2/4,

P(2 boys) = 1/4.

The expected number of boys is the weighted sum of the number of boys (0, 1, and 2) multiplied by the respective probability of each:

\(E(# boys) = 0*1/4 + 1*2/4 + 2*1/4 = 1 boy.\)

The standard deviation is calculated using the formula:

\(SD = sqrt(P(0 boys)*(0-1)^2 + P(1 boy)*(1-1)^2 + P(2 boys)*(2-1)^2) = sqrt(1/4*1 + 2/4*0 + 1/4*1) = sqrt(1/4) = 0.5.\)

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Answer:

given that, y=2×7

y=14

and

x+y=5

x+14=5

x=5-14

x=9

x not equal to 5

Step-by-step explanation:

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Answer:

B

Step-by-step explanation:

The centre is at the midpoint of the endpoints of the diameter.

Using the midpoint formula, then

centre = ( \(\frac{-4+2}{2}\), \(\frac{1+1}{2}\) ) = (- 1, 1 ) → B

Answer:

Angle 1: 56 degrees

Angles 2: 56 degrees

Angles 3: 74 degrees

Step-by-step explanation:

triangles angles added up equal 180

So we add the 2 angles in the first triangle to find angle 1

58+66

124

Then subtract by 180

180-124

56

Angle 1 is 56 degrees

angles 2 is also 56 degrees since they are corresponding angles

Now we know 2 angles of the second triangle and to find angle 3 we add the 2 angles

56+50=106

And subtract by 180

180-106

74

Angles 3 is 74 degrees

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