This question here ?!

The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:

A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.

A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.

A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.

A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.

B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.

B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.

Finally, performing the remaining operations:

(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.

(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.

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Answer:

Part A: $225 is her monthly payment.

Part B: She will have paid $20,325.

Part A Explanation: 14,100 - 13,200 is 900. Then you divide 900 by 4. 4 being the months. When you divide that, You get, 225.

Part B Explanation: You have the $6000 dollar down payment, plus the $14,225 total is payments. It equals 20,325.

Hope this helps!

Answer:$40

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

To find the slope of the two points (1, -1) and (4, -2) we have to use the slope formula.

\(slope=\frac{y_{2}- y_{1} }{x_{2} -x_{1} }\)             \(slope=\frac{(-2)- (-1)}{4 -1}\)      

\(slope=\frac{-1 }{3}=-\frac{1}{3}\)  can also be written as a decimal  \(slope=-0.333333\)

Answer:

India's population will reach 2 billion during the year of 2050.

Step-by-step explanation:

India's population in t years after 2008 is modeled by the following equation:

\(P(t) = P(0)(1+r)^{t}\)

In which P(0) is the population in 2008 and r is the growth rate, as a decimal.

Population in 2008 of about 1.14 billion people. The population is growing by about 1.34% each year.

This means that \(P(0) = 1.14, r = 0.0134\). So

\(P(t) = P(0)(1+r)^{t}\)

\(P(t) = 1.14(1+0.0134)^{t}\)

\(P(t) = 1.14(1.0134)^{t}\)

If the population continues following this trend, during what year will the population reach 2 billion?

t years after 2008.

t is found when P(t) = 2. So

\(P(t) = 1.14(1.0134)^{t}\)

\(2 = 1.14(1.0134)^{t}\)

\((1.0134)^{t} = \frac{2}{1.14}\)

\(\log{(1.0134)^{t}} = \log{\frac{2}{1.14}}\)

\(t\log{1.0134} = \log{\frac{2}{1.14}}\)

\(t = \frac{\log{\frac{2}{1.14}}}{\log{1.0134}}\)

\(t = 42.23\)

2008 + 42 = 2050

India's population will reach 2 billion during the year of 2050.

Answer:

9.110434

Step-by-step explanation:

√83 ≈ 9.110434

Answer:

x = 26

Step-by-step explanation:

If angle a and b are congruent, then set 68 and 4x + 8 together to equal to 180 on the right side.  Combine 68 and 8 together to get 76.  Then, subtract 76 on both sides to get 104 on the right side.  Divide that number by 4 to get your x-value which is 26.

Answer:

-131

Step-by-step explanation:

By dividing by 2, we find that x = 23

Plugging this into the equation we can find

7-6x=7-6(23)=-131

Answer:

-131

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

2x = 46

Step 2: Solve for x

Step 3: Define

7 - 6x

Step 4: Evaluate

The linear relation is:

y = x + 2

This is not a proportional relationship, as the y-intercept is different than zero, and then, it does not have a constant of proportionality.

The relationship clearly shows a linear relation, so we can get the slope if we use the first two points (2, 4) and (4, 6). The slope is:

s = (6 -4)/(4 - 2) = 1

Then the linear relation is of the form:

y = 1*x + b

To find the value of b we replace the values of the first point:

4 = 1*2 + b

4 - 2  =b

2 = b

The linear relation is:

y = x + 2

This is not a proportional relationship, as the y-intercept is different than zero, and then, it does not have a constant of proportionality.

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Answer:

No, because it doesn't go through zero

Step-by-step explanation:

Answer: 4 with a remainder of 5

Answer:

4.27777777778

Step-by-step explanation:

4.3 rounded ;)

Answer:

right triangle

Step-by-step explanation:

Hey there!

A triangle has to have three vertices that add up to 180 degrees

The angle measurments 50 and 40 are already given and added up, they equal 90 degrees

Now out of 180 degrees, 90 degrees is already shown

What you need to do now is try to find how much more degrees you need to get 180 degrees

As you know 180-90=90

So this means that the missing angle is 90 degrees

Now that we know this, we can find out what type of triangle this is

Since the triangle has an angle that is equal to 90 degrees, or it has a right angle, the triangle can be called a right triangle

A right triangle is a triangle that has an angle that is equal to 90 degrees

So this triangle is a right triangle

Answer: 2 3/4

Step-by-step explanation: 1/4 + 3/4 is 1 whole plus 1/4+1/4 would equal the 1/2 you need.

So we are up to 3/4 already. 1 3/4 + 3/4 = 2 1/2

We need to add 2 more to get to 4 1/2

So the answer would be 2 3/4

2 3/4 + 1 3/4 = 4 1/2

Answer:

problem 18=E

problem 20= 135

problem 19= 14

problem 21= -2

problem 22= 0.5

The quotient of 121 and 101; when solved is; 1.198

The given expression to be evaluated is;

By observation, the numerator and denominator have no common factors and hence have time divided by means of a calculator or long division so that we have;

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Answer:

28

Step-by-step explanation: im not sure this type of work is not my best but i gave it a try

I believe your answer is 2954.9

Answer:

2800

Step-by-step explanation:

Interest earned = 2000 × \(\frac{5}{100}\) × 8

                          = 800

Total earned = 2000 + 800

                      = 2800

The missing side is 30.

Three line segments that cross at three non-collinear locations to form a triangle constitute a triangle in geometry. The triangle's three line segments are referred to as its sides, and its three points of intersection as its vertices.

A triangle is a three-sided polygon formed by three line segments intersecting at three non-collinear points, and it can be classified based on the length of its sides and the measure of its angles.

Given figure, there are two lines ate parallel, that's why two triangles are similar triangle.

Assume that the missing side is x.

So that side ratio in similar triangle are equal;

14/20 = 21/x

So, x = 30.

Therefore, the missing side x is 30

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Triangle Three line segments that cross at three non-collinear locations to form a triangle constitute a triangle in geometry. According to the question the missing side is 30.

Three line segments that cross at three non-collinear locations to form a triangle constitute a triangle in geometry. The triangle's three line segments are referred to as its sides, and its three points of intersection as its vertices. A triangle is a three-sided polygon formed by three line segments intersecting at three non-collinear points, and it can be classified based on the length of its sides and the measure of its angles.

Given figure, there are two lines ate parallel, that's why two triangles are similar triangle.
Assume that the missing side is x.
So that side ratio in similar triangle are equal;
14/20 = 21/x

So, x = 30.
Therefore, the missing side x is 30

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The dimensions of the airline luggage will be l = 2.52, b = 3982 and h = 2006 inches respectively

In the above question, it is given that

Let the length, width and depth of the new luggage be l, b and h respectively

The length of the airline luggage is 10 inches greater than their depth

l = 10 + h .....eqn 1

Also, the sum of the length, width and depth = 40 inches

l + b + h = 40

Putting eqn 1 in this we get

10 + h + b + h = 40

2h + b = 30

b = 30 - 2h .....eqn 2

Also, the volume of the luggage = 2016 cubic inches

lbh = 2016

(10+h)(30-2h)h = 2016

(10+h)(30h - 2\(h^{2}\)) = 2016

Putting both the factors separately, we get

10 + h = 2016

h = 2006

(30h - 2\(h^{2}\)) = 2016

There are not real zeroes of this quadratic equation as D < 0

Now, using h = 2006 we'll find the other dimensions as follows

b = 30 - 2. 2006

b = 30 - 4012 = - 3982 ( we'll ignore the -ve sign)

Similarly, lbh = 2016

l = 2.52

Hence, the dimensions of the airline luggage will be l = 2.52, b = 3982 and h = 2006 inches respectively

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Answer:

Together they painted 120 figurines.

Step-by-step explanation:

8(6+9)=

8(6) + 8(9) =

48 + 72

120

Answer:

2 13/15 miles

Step-by-step explanation:

Hey there!

Well first we need to find the distance between Lancaster and Hillsdale and Lancaster to Silvergrove.

9 + 7 13/15

= 16 13/15

LS is just 14 miles.

Now we can do,

16 13/15 - 14

= 2 13/15 miles

Hope this helps :)

Answer:

-13.64 millimeters

Step-by-step explanation:

just use a calculator ._.

The ordered pair (3, - 2) is not a solution to the equation 2x - y = 4

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

Pair in Order = (x,y)

x is the abscissa, the distance measure of a point from the primary axis x

y is the ordinate, the distance measure of a point from the secondary axis y

Given, an equation 2x - y = 4 now if  (3, - 2) is an ordered pair then putting the numerical value of x must satisfy the y value.

when x = 3,

2(3) - y = 4.

6 - y = 4.

- y = 4 - 6.

- y = - 2.

y = 2.

So,  (3, - 2) is not a solution to an equation 2x - y = 4.

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The five number summary you wrote out is correct.

The tip of the left whisker is at 36, since this is the smallest value and we don't have outliers. The tip of the right whisker is at 64 which is the max (we don't have outliers here either).

The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint as the diagram shows.

The IQR (interquartile range) is found by computing IQR = Q3-Q1 = 55-39 = 16

Note that the lower fence is L = Q1 - 1.5*IQR = 39 - 1.5*16 = 15. Anything below this value of L is an outlier.

The upper fence is U = Q3 + 1.5*IQR = 55 + 1.5*16 = 113.5; anything above this value of U is an outlier. All of the values in the given set are between L and U, meaning we don't have outliers. If we had outliers, then we would have island points outside the main box-and-whisker plot.

I used GeoGebra to create the box-and-whisker plot.

Answer:

The data and 5-number summary is given.

Based on the 5 numbers we have the attached box-and-whisker plot.

The set of numbers that have 11 as a common factor is {154, 231}.

The number that divides two or more numbers is called a common factor.

Given are the pair of numbers as -

{154, 231}

{143, 221}

{33, 39}

{77, 91}

The pair of numbers with the common factor 11 is {154, 231}.

Therefore, the set of numbers that have 11 as a common factor is {154, 231}.

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The amount you have after 18 months is $ 1143.96 .

what is compound interest?

Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.

\(A=P {(1 +\frac{r}{n})^{nt} }\)

Given:

P = 1000 , r in decimal  = 0.09 ,

n = 12 ,  t = 1.5 ( 18 months = one and a half years).

Substituting the values into the formula:

A = 1000 ( 1 + 0.09/ 12 ) ^[12 ( 1.5 )]          

  ≈ 1000 ( 1.143960 )          

  = 1143.960

Rounding to the nearest cent, we get $ 1143.96 .

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Answer:

15 questions were on the quiz

Step-by-step explanation:

12/15 = .80 = 80%

Answer:

68?

Step-by-step explanation: