X and Y are 2 sets such that X has 15 elements, Y has 25 elements and X (union) Y has 40 elements.
Find the number of elements in X (intersection) Y

Step-by-step explanation:

fog(x)=f(x-3)

=(x-3)²+2

=x²-6x+9+2

=x²-6x+11

The product of (X + A) + (X + B) is- [tex]x2 + xb + ax + ab[/tex]

The information provided in the question,

The outcome of multiplying two numbers together is known as the product. 12 is the result of the addition of 3 and 4, 20 is the sum of 4 and 5, and so on. Discovering the Product A multiplication problem has a solution in the product.

We must determine the of (x + a) and (x + b).

The product is the result of multiplying two numbers, as we all know.

So,

[tex]( x+ a)[/tex]   x  [tex]( x + b)[/tex]

[tex]x( x+b) + a( x + b)[/tex]

[tex]x[/tex]²[tex]+ bx + ax + ab[/tex]

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Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

Answer:

complementary property

Step-by-step explanation:

©Thank You

Answered By Solution 49

The coordinate of the intersection is (k, m*k + b).

A parallelogram is a four-sided shape with opposite sides that are parallel. The diagonal of a parallelogram cuts the shape into two congruent triangles. The coordinates of the intersection of the diagonal of a parallelogram with the vertical line of the parallelogram can be found by solving the equation of the line that forms the diagonal and the equation of the vertical line.

If the diagonal of the parallelogram is given by the equation y = mx + b, where m is the slope of the diagonal and b is the y-intercept, and the vertical line is given by the equation x = k, where k is the x-coordinate of the vertical line.

To find the x-coordinate of the intersection point, we can substitute x = k into the equation of the diagonal:

x = k

Then, we can substitute this value of x into the equation of the diagonal:

y = mx + b

This will give us the y-coordinate of the intersection point.

So, the coordinate of the intersection is (k, m*k + b)

Note: You need the equation of the diagonal and the equation of the vertical line to find the intersection point.

Therefore, The coordinate of the intersection is (k, m*k + b).

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x = k

Then, we can substitute this value of x into the equation of the diagonal:

y = mx + b

This will give us the y-coordinate of the intersection point.

So, the coordinate of the intersection is (k, m*k + b)

You need the equation of the diagonal and the equation of the vertical line to find the intersection point.

Therefore, The coordinate of the intersection is (k, m*k + b).

The solution for this equation is x = -36

3/4 ( x + 8 ) = 1/2 ( x - 6)

(Opening the brackets)

(3x + 24)/4  = ( x - 6)/ 2

By cross multiplication,

2(3x + 24) = 4( x - 6 )

6x + 48 = 4x - 24

(Taking the Variable to  one side)

6x - 4x = - 24 - 48

2x = - 72

x= - 72/2

x = -36

Hence, the solution for this equation is x = -36

Answer:

[tex]\frac{5\sqrt{11} }{11}[/tex]

Step-by-step explanation:

To cancel out a square-rooted number at the denominator, we can multiply the square-rooted number by multiplying the square root number over again:

[tex]\frac{5}{\sqrt{11}}[/tex] * [tex]\frac{\sqrt{11}}{\sqrt{11}}[/tex]

Now, any same number of square root times another same number of a square root will cancel out the root. So [tex]\sqrt{11}[/tex] * [tex]\sqrt{11}[/tex] will equal 11.

With this information, we can now go back to the problem, so we will get:

[tex]\frac{5\sqrt{11}}{11}[/tex]

Answer:

The length of the shorter leg of the triangle can be calculated using the Pythagorean Theorem. The formula is a^2 + b^2 = c^2, where a is the length of the shorter leg, b is the length of the longer leg and c is the length of the hypotenuse. In this case, a^2 + 52^2 = c^2. The hypotenuse can be calculated by using the sine formula. c = (52/sinA). Substituting this value into the Pythagorean Theorem equation, a^2 + 52^2 = (52/sinA)^2. Solving for a, a = sqrt(52^2 - (52/sinA)^2).

The dimensions for the scale drawing of the flag is 20 cm by 23 cm

A scale is a set of levels or numbers which are used in a particular system of measuring things or are used when comparing things.

Given that, A rectangular flag is 80 centimeters by 92 centimeters. we need to find dimensions of a scale drawing of the flag using the scale 1:4,

Therefore,

80 / 92 = 20 / 23

Hence, the dimensions for the scale drawing of the flag is 20 cm by 23 cm

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Answer:

20cm by 23cm

Step-by-step explanation:

Answer: 6 divided by 2/3 = 9

Step-by-step explanation:

For division always take the first number in the word problem so in this question the answer would be 6 then you take the 2/3 and divide it by 6. So it would be 6 divided by 2/3. then you take the 9 from the word problem  and do 6 divided by 2/3 equals 9. So in this question the answer would be option 2 or could also be called option B. And if this is it that means the answer is, 6 divided by 2/3 = 9.

The division equation which representant this situation is 6 ÷ 2/3 = 9.

Division equations are mathematical equations with the division operator in them. Division equations are useful not only in math class, but in everyday life as well. For example, if we wanted to evenly distribute a bag of candies among our friends, we could use division to find our answer. Assume we have 100 candy bars and four friends. Divide 100 by 4 to find out how many candies each person gets. We discover that our answer is 25, which means that each of our friends receives 25 candies.

It's our job to figure out what the division equals. This can be represented by a variable, such as x. As a result, our total division equation will be: 100/4=x. On both sides of the equals sign, we have things.

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The expression that best represents maria's age if she is 13 of her father's age is y = x/3

Given that,

The age of Maria's father is x.

To find: Which equation best describes Maria's age if she is 13 years older than her father?

Father of Maria is x years old. We have to find the expression best represents Maria's age.

Let age of Maria = y years

If Maria is 1/3 of her father's age then we can write the expression as below.

Age of Maria y = x/3.

Therefore answer is " y = x/3 "

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The derivative of log₇(x) is 1/(xln(7))

To find the derivative of log₇(x), we can use the chain rule and the properties of logarithms.

The chain rule states that if we have a composite function, such as y = f(g(x)), then the derivative of y with respect to x is given by

dy/dx = dy/dg * dg/dx.

In this case, y = log_7(x) and g(x) = x, so

dy/dx = d/dx (log_7(x))

As by logarithmic property log₇x = ln(x)/ ln(7)

dy/dx = d/dx (ln(x)/ln(7))

To find the derivative of ln(x), we can use the property that the derivative of ln(x) is 1/x. This is because the natural logarithm function is the inverse of the exponential function eˣ, and the derivative of eˣ is eˣ. Therefore, the derivative of ln(x) is the reciprocal of x, or 1/x.

The differentiation of log₇(x) is given by:

d/dx (log₇(x)) = (1/x) * (d/dx (x)) * (1/ln(7))

= (1/x) * 1 * (1/ln(7))

= 1/(x ln(7))

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The percent of the games that was lost is 26.7%.

Percentage is the ratio of two numbers expressed as a number out of 100. The sign that is used to represent percentage is %.

Percentage of the games lost = (number of games lost / total number of games) x 100

Number of games lost = total number of games - number of games won

75 - 55 = 20

Percentage of the games lost = (20 / 75) x 100 = 26.7%

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Answer:

The required linear function for the temperature T, in degrees Fahrenheit, of the oven m minutes from the time it was turned on until it reaches the desired temperature is T = 54m + 80.

Step-by-step explanation:

Given that,

An oven is turned on and set to reach the desired temperature of 350 degrees Fahrenheit. The oven warms up at a constant rate. The oven’s temperature is 134 degrees Fahrenheit at 1 minute and it reaches its desired temperature at 5 minutes.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.

Here,

At time m = 1 min, temperature T = 134 °F

At time m = 5 min. temperature T = 450 °F

Slope of the equation M = 450 - 134 / 5 - 1

                                        = 216 / 4

                                        = 54

Linat relationship can be given as,

T - 134 = 54 (m - 1)

T = 54m -54 + 134

T = 54m + 80

Thus, the required linear function for the temperature T, in degrees Fahrenheit, of the oven m minutes from the time it was turned on until it reaches the desired temperature is T = 54m + 80.

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To solve a complex fraction, which is a fraction that contains one or more fractions in its numerator and/or denominator, you can follow these steps:

Factor the numerator and denominator of the complex fraction if possible. This will make it easier to cancel common factors.

Multiply both the numerator and denominator by the reciprocal of the fraction(s) in the denominator. This will eliminate the fraction(s) in the denominator, leaving a simplified expression.

Simplify the resulting expression by combining like terms, if possible.

Check your work by multiplying the numerator and denominator of the original complex fraction by the reciprocal of the fraction(s) in the denominator, and verifying that the simplified expression you obtained is equivalent.

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Here you go mate!

7x + 10 = -11

answer : x = -3

-12(x + 5) = -144

Answer : x = 7

-9x - 9 = 27

Answer : x = -4

x/4 + 2 = 10

Answer : x = 32

a) The numeric value at x = 4 is given as follows: f(4) = 64.

b) The logarithmic expression is given as follows: x = log2(16).

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function for this problem is defined as follows:

f(x) = 4(2)^x.

At x = 4, the numeric value is found replacing the lone instance of x by 4, hence:

f(4) = 4(2)^4 = 64.

For the logarithmic expression, we obtain the inverse function, hence:

64 = 4(2)^x.

2^x = 16

x = log2(16).

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Solving systems of linear equations in two variables by substitution involves isolating one of the variables and substituting its value into the other equation.

This can be done by adding or subtracting the same term from both sides of one equation and then using that result to substitute into the other equation.

For example, consider the system of equations below:

2x + 3y = 8

3x + 2y = 7

Start by solving for x in the first equation by subtracting 3y from both sides:

2x + 3y = 8

2x = 8 - 3y

x = (8 - 3y)/2

Now substitute this expression for x in the second equation:

3(8 - 3y)/2 + 2y = 7

24 - 9y + 2y = 7

11y = 17

y = 17/11

Finally, solve for x, add y = 17/11 to the first equation as follows:

2x + 3(17/11) = 8  

2x + 51/11 = 8  

2x = 8 - 51/11  

x = (8 - 51/11)/2  

x = 21/22

The solution is x=21/22 and y=17/11.

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This type of insurance is designed to provide financial protection for the policyholder's loved ones in the event of their death.

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The y-intercept of the linear function is: C. 15.

The y-intercept of a linear function is defined as the starting or initial value, which is also the point on the y-axis where the line of the equation crosses.

In a given function represented as y = mx + b, the y-intercept is the value of b.

From the information given above, we have:

Initial value/y-intercept (b) = flat rate = $15

Slope/unit rate (m) = $10

Therefore, the y-intercept of the function is: C. 15.

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Answer:

(5n + 1)(3n - 2)

Step-by-step explanation:

Find what number multiplies into -7 and adds into -2, including the coefficient in 15n^2

Answer:

sorry its so long

Step-by-step explanation:

We multiply the entire equation by the number

6

6 in order to get rid of the fractions.

2

�

+

3

�

=

6

5

�

=

6

�

=

6

5

=

1

1

5

1

1

5

ℎ

=

1

hour

12

minutes

2x+3x

5x

x

1

5

1

​

h

​

=6

=6

=

5

6

​

=1

5

1

​

Yes, The molar mass of a substance is defined as the mass of 1 mol of that substance, expressed in grams per mole, and is equal to the mass of 6.022 × 10²³(Avogadro's number) atoms, molecules, or formula units of that substance.

The Avogadro constant, A, is the number of particles (such as atoms, molecules, or ions) in one mole of something. Its value is modernly defined as exactly 6.022 140 76 × 10²³. (As it is a pure number, it has no units.)

So, in 1 mol of helium, which has a mass of (very close to) 4 g, there are A

atoms; in 1 mol of sucrose, with a mass of 342 g, there are A molecules.

We can have moles of other kinds of things, including subatomic particles. The amount of charge known as the faraday is the charge of one mole of electrons (A of them; about 96 500 C).

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The coordinates of the vertex for f(x) = 3x²+6x+3 are (-1, 0).

For any equation of the type y=ax²+bx+c, the vertex is given by (h, k)

Where, h = -b/2a and k = (4ac - b²)/4a.

Given, the equation is y = 3x²+ 6x+3

Here, a = 3, b = 6 and c = 3

So, h = -6/2(3)

h = -6/6

h = -1

4ac = 4(3)(3)

4ac = 36

So, k = [36 - (6)2]/4(3)

k = (36 - 36)/12

k = 0

Therefore, the coordinates of the vertex are (h,k) = (-1, 0).

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The letter E would be drawn roughly 40 times, but probably not exactly 20 times.

The area of mathematics known as probability deals with numerical representations of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

P(A) = f / N determines probability, which quantifies the possibility of an event happening. Probability and odds are connected, but probability is necessary for odds to exist.

Statistical formula

P(A) stands for the likelihood that event A will occur.

f = Number of possible outcomes of an event (frequency)

N stands for the total number of outcomes.

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The value of X of the vertical angles would be = 1.36

The vertical angles are the type of angles that are known to be directly opposite each other which are also equal angles.

The given vertical angles are ZA and ZB.

If m A = (8x – 20)°

m B = (3x – 5)º

The vertical angles are equal, to find X;

mA = mB

8x -20 = 3x - 5

Bring the like terms together;

8x + 3x = 20- 5

11x = 15

X= 15/11

X= 1.36

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Complete question:

ZA and ZB are vertical angles. If m A = (8x – 20)° and m B = (3x – 5)º, then find the value of x.

The average rate of change from x = 1 to x = 5 is given as follows:

-1.25.

The average rate of change of a function is given by the change in the output divided by the change in the input.

The numeric values for the function graphed are given as follows:

Hence the change in the output is given as follows:

2.5 - 7.5 = -5.

The change in the input is given as follows:

5 - 1 = 4.

Hence the average rate of change is given as follows:

-5/4 = -1.25.

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The events from "Let George Do It!" in the right sequence will be:

From 1946 to 1954, Owen and Pauline Vinson produced the radio drama series Let George Do It in the United States.

In 1954, Olan Soule voiced the role of private eye George Valentine, which was portrayed by Bob Bailey. The scripts by David Victor and Jackson Gillis were directed by Don Clark.

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