Compute the scalar surface integral ∬T(z+y)dS where T is the triangle (including its interior) with vertices (0,0,2), (0,1,0)( and (1,0,0)

The correct statement regarding the conditional probability P(B|M) is given by:

P(B|M) = 0.36; given that the vehicle has been driven many miles, there is a 0.36 probability that the color is blue.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The conditional probability P(B|M) is the probability of B given that M, that is, the probability of a vehicle that has driven many miles being blue.

Researching the problem on the internet, it is found that of the 94 vehicles that have driven many miles, 34 are blue, hence:

P(B|M) = 34/94 = 0.36.

Hence the correct option is given by:

P(B|M) = 0.36; given that the vehicle has been driven many miles, there is a 0.36 probability that the color is blue.

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Answer:

B

Step-by-step explanation:

P(B|M) = 0.36; given that the vehicle has been driven many miles, there is a 0.36 probability that the color is blue.

Answer:

15 ways

Step-by-step explanation:

girl 1 and boy 1

girl 2 and boy 1

girl 3 and boy1

girl 1 and boy 2

girl2 and boy 2

girl 3 and boy 2

girl 1 and boy 3

girl 2 and boy 3

girl 3 and boy 3

girl 1 and boy 4

girl 2 and boy 4

girl 3 and boy 4

girl 1 and boy 5

girl 2 and boy 5

girl 3 and boy 5

According to the angles between intersecting secant and tangent, the value of

angle DF is 52 degrees

angle PQR = 49 degrees

The value of angle DF is solved using the angles of intersecting secant out side the circle

The theorem give the formula in the form

44 = 1/2 (140 - DF)

88 = 140 - DF

DF = 140 - 88

DF = 52 degrees

Using intersection of tangents, for the second figure

exterior angle = 1/2 (major arc - minor arc)

major arc = 360 - 131 = 229

PQR = 1/2 (229 - 131)

PQR = 49 degrees

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The per-student expenditure in 2024 is $14094.43.

A line's steepness and direction are measured by the line's slope.

As per the given data:

We are given the linear variation of student expenditures.

Expenditure in 1975 = $1300

Expenditure in 2011 = $10700

The expenditure is on the y-axis and the year is on the x-axis.

The increase in expenditure per year will be given by the slope of this graph.

slope = (10700 - 1300) / (2011 - 1975)

slope = 9400/36

slope = 261.11

increase in expenditure per year = $261.11

Expenditure in 2024

= Expenditure in 2011 + increase in expenditure per year × (24 - 11)

= 10700 + 261.11 × 13

= 10700 + 3394.43

= 14094.43

The per-student expenditure in 2024 is $14094.43.

Hence, The per-student expenditure in 2024 is $14094.43

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For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

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Answer:

104,756

Step-by-step explanation:

Each silver bead costs $0.50, and each green bead costs $1.

Let's assume the cost of each silver bead is 's' dollars, and the cost of each green bead is 'g' dollars.

According to the given information, the necklace requires 25 silver beads and 15 green beads, and the bracelet requires 10 silver beads and 5 green beads.

The total cost of the necklace beads is $27.50, and the total cost of the bracelet beads is $10.

Using this information, we can set up the following system of equations:

25s + 15g = 27.50 (Equation 1)

10s + 5g = 10 (Equation 2)

We can solve this system of equations using any appropriate method, such as substitution or elimination.

Let's use the elimination method to solve the system:

Multiplying Equation 2 by 3, we get:

30s + 15g = 30 (Equation 3)

Subtracting Equation 3 from Equation 1:

25s + 15g - (30s + 15g) = 27.50 - 30

-5s = -2.50

s = 0.50

Now, substituting the value of s into Equation 2:

10(0.50) + 5g = 10

5 + 5g = 10

5g = 5

g = 1

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The limits of the function for this problem are given as follows:

In this problem, we are given the graph of the function, hence the limit is given by the value of the function as the function approaches x = a, not the actual numeric value of the function at x = a.

At x = -2, we have that:

As the lateral limits are equal, lim x -> -2 f(x) = 3.

At x = 1, we have that:

As the lateral limits are different, the lim x -> 1 f(x) does not exist.

At x = 4, we have that:

As the lateral limits are equal, lim x -> 4 f(x) = -3.

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The statements that are true are:

A : Vertical angles are congruent, therefore, another angle must equal 67°

F: Two of the angles formed will have a sum of 180°

What happens when two lines intersect?

When two lines intersect, their vertical angles are always the same and the sum of the two angles on a straight line is 180°

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To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.

First, multiply 2x by each term inside the second parentheses:

2x * 5x^2 = 10x^3

2x * -2x = -4x^2

2x * 7 = 14x

Next, multiply -3 by each term inside the second parentheses:

-3 * 5x^2 = -15x^2

-3 * -2x = 6x

-3 * 7 = -21

Combine all the resulting terms:

10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21

Now, combine like terms:

10x^3 - 19x^2 + 20x - 21

So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.

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What your friend needs to do is substitute that equation into the other one, and then solve it.

The solution of the system is x = 7 and y = -1.

Here we have the following system of equations:

x + 7y = 0

2x - 8y = 22

Your friend starts by isolating x on the first equation to get:

x = -7y

The next step is to substitute that equation into the other one, we will get:

2*(-7y) - 8y = 22

Now you can solve that equation for y.

-14y - 8y = 22

-22y = 22

y = 22/-22

y = -1

Now that we know the value of y, we can find the value of x:

x = -7y

x = -7*(-1)

x = 7

The solution is (7, -1)

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Answer:780

Step-by-step explanation:

Answer

The answer would be 630

Step-by-step explanation:

69+69 = 138

138+69 =207

207 - 6 = 201

201 + 9  = 210

210 -69 = 141

141 + 69 =210

21 + 420 = 630

Therefore, the price of the car without the dealer's commission is approximately $21,305.06.

A percent, denoted by the symbol "%", is a way of expressing a portion or fraction of a whole as a value out of 100. For example, if there are 100 marbles in a jar and 25 of them are red, we can say that the percentage of red marbles is 25%. This means that 25 out of 100 marbles are red. In general, to express a value as a percentage, you simply multiply it by 100. So, if 1/2 of a pizza is left, we can say that the percentage of pizza left is 50%, because 1/2 is equivalent to 50/100. Percentages are commonly used in everyday life, especially in finance, economics, and statistics. For example, interest rates on loans and mortgages are often expressed as a percentage, as are increases or decreases in the price of goods or services.

Here,

Let's assume that the price of the car without the dealer's commission is x. Then, we know that the dealer's commission is 18.2% of x, or 0.182x.

We also know that Roger paid a total of $25,200, which includes the price of the car and the dealer's commission. Therefore, we can set up the equation:

x + 0.182x = 25200

Simplifying this equation, we can combine the x terms on the left-hand side:

1.182x = 25200

Finally, we can solve for x by dividing both sides of the equation by 1.182:

x = 25200 / 1.182

x ≈ 21305.06

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Answer:

47.13

Step-by-step explanation:

add all the numbers together

divide by how many there are

Answer:

33%

Step-by-step explanation:

9 parts divided by 3 categories is 3. 100 divided by 3 is 33.3%, which is 33% when rounded to the nearest whole number

Step-by-step explanation:

Y= m x+ C

m (slope ) = 2 - (_3) / 0 _( - 9 )

= 5 / 9

( O, 2 ) Satisfying equation

2= 5/9 ( 0) + C

C= 2

So eq. is

y= 5/ 9 X + 2

Answer:

the probability of rolling a 6 is 1/6

Step-by-step explanation:

because there are six possible outcomes and it is a fair die, each outcome must be equally as likely, therefore there is a 1/6 chance of rolling any number.

Answer:

Rounding to the nearest number, the answer would be 12 units

Step-by-step explanation:

I hope this helped! Please mark me as brainliest if you can!

Yes, because for each input there is exactly one output. Therefore, the relation represented by the mapping diagram is a function.

To determine if the relation represented by the given mapping diagram is a function, we need to check if each input (x value) has exactly one output (y value) associated with it.

From the given mapping diagram, we can see that:

The input value -3 is associated with the output value 0.

The input value -1 is associated with the output value 2.

The input value 1 is associated with the output value 0.

The input value 3 is associated with the output value 2.

The input value 5 is associated with the output value 5.

As we can see, each input value has exactly one output value associated with it. Therefore, the relation represented by the mapping diagram is a function.

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In conclusion √-36 can be simplified to 6i.

How to simplify and what does a square root mean?

The square root of a negative number is not a real number, as any real number squared gives a non-negative result. Therefore, the expression √-36 cannot be simplified in terms of real numbers.

However, in some mathematical contexts, we define the imaginary unit i as √-1. With this definition, we can write:

√-36 = √(36)√(-1) = 6i

Therefore, in this context, √-36 can be simplified to 6i.

In mathematics, the square root of a non-negative real number is a number that, when multiplied by itself, gives the original number. The square root is denoted by the symbol √.

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Answer:

\(\frac{2}{\frac{1}{24} }\)

Step-by-step explanation:

2/x = 48

48x = 2

x = (2)/ (1/24)

\(\frac{2}{\frac{1}{24} }\) = 48

20

There are two ways to solve this (both will end up with the same answer):

1st way:

You can find 4/9 of 36 to find how many displays the class explored so far. You can write it as 4/9 x 36, which is equal to 16. So, the class explored 16 displays so far. All you need to do is subtract 16 from 36 to find how many displays the class needs to explore, which can be written as 36-16, and is equal to 20.

Final answer: 20

2nd way:

You can do 1 minus 4/9 to find the left over fraction of the displays that the class needs to explore, which is equal to 5/9. Then, you need to find 5/9 of 36 to find how many displays are left for the class to explore. You can write it as 5/9 x 36, which is equal to 20.

Final answer: 20

Hope you understand and that this helps with your question :)

The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.

The value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is π/4 radians or 45 degrees.What is inverse sine?

The inverse sine function or arc sine function is the inverse function of the sine function. It is defined as follows:If y = sin x, then x = sin-1 y, where x is the angle whose sine is y.

The range of the inverse sine function is from -π/2 to π/2 radians or from -90 to 90 degrees. It is denoted by sin-1 or arcsin.What is the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction)?

Given that the value of sine Superscript negative 1 Baseline (StartFraction StartRoot 2 EndRoot Over 2 EndFraction) is to be determined.

Using the formula, sin θ = opposite side/hypotenuse= (StartRoot 2) / 2= 0.707The angle whose sine is 0.707 can be found using a calculator or a unit circle.

The inverse sine of 0.707 is π/4 radians or 45 degrees.

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Answer:

Length = 17 in

Width = 12 in

Step-by-step explanation:

Formula we use,

→ P = 2(L + W)

Then the value of L and W is,

→ P = 2(L + W)

→ 58 = 2(x + 5 + x)

→ 2(2x + 5) = 58

→ 4x = 58 - 10

→ x = 48/4

→ [ x = 12 ]

Then the width will be,

→ W = x = 12 in

Hence, the width is 12 in.

Now the length will be,

→ L = x + 5 = 12 + 5 = 17 in

Therefore, the length is 17 in.

Answer: There are no answer choices but an example of a true statement would be that spending on a debit card will NOT count towards your credit score.

Step-by-step explanation:

Answer:

8.382 cm

Step-by-step explanation:

1in = 2.54 cm

3.30 x 2.54 = 8.382 cm

The three (3) statements which are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   ....equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

From the information provided above, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

Comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x – 0)² + (y - 0)² = 3²

x² + y² = 9.

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