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Kisachek [45]
2 years ago
15

Let A = {1, 2, 3, 4, 5} and B = {2, 4}. What is A ∩ B?

Mathematics
1 answer:
tatyana61 [14]2 years ago
4 0

Answer:

A ∩ B = {2, 4}

Step-by-step explanation:

Definition: The intersection A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B.

For example:

If x∈A and x∈B

then;

x∈ A ∩ B

Given the sets:

A = {1, 2, 3, 4, 5} and B = {2, 4}

We have to find  A ∩ B.

By definition we have;

A ∩ B = {2, 4}

Therefore, the value of  A ∩ B is, {2, 4}

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Answer:

3x - 2

Step-by-step explanation:

f(x) + g(x)

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2x + 1 + x - 3

combine

3x -2

3 0
2 years ago
Which description does NOT guarantee that a quadrilateral is a rectangle?
grandymaker [24]
The answer would be : A parallelogram with congruent sides does NOT guarantee that a quadrilateral is a rectangle  
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3 years ago
The sum of 4 consecutive number is 330 what is the sum of the largest and the smallest number
Drupady [299]
X + x + 1 + x + 2 + x + 3 = 330
4x + 6 = 330
4x = 324, x = 81
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3 0
2 years ago
The rectangular floor of a classroom is 38 feet in length and 20 feet in width. A scale drawing of the floor has a length of 19
gayaneshka [121]

Answer:

58 in

Step-by-step explanation:

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4 0
2 years ago
(a) What was Jennifer’s gross pay for the year?
alukav5142 [94]

Answer:

Part a: From column 1 of the attached Wage and Tax statement, the gross pay is $34854.

Part b: From column 17 of the attached Wage and Tax statement, she paid $1762.39 in state income tax.

Part c: It should be $2160.95 instead of $2164.44

Part d: It should be $505.38 instead of $467.68

Part e: FICA Tax is $2665.38

Part f: She owes the difference $16.52 to the Federal Tax.

Step-by-step explanation:

As data was missing from the question, the complete question is found online and is attached herewith.

Part a:

From column 1 of the attached Wage and Tax statement, the gross pay is $34854.

Part b:

From column 17 of the attached Wage and Tax statement, she paid $1762.39 in state income tax.

Part c:

For 2012, Social Security Tax is given as 6.2% of the gross pay so

Item 4 should then be

6.2% x Gross Income

6.2% x 34854

.062 * 34854 = 2160.95

It should be $2160.95 instead of $2164.44

Part d

For 2012, Medicare Tax is given as 1.45% of the gross pay so

Item 6 should then be

1.45% x Gross Income

1.45% x 34854

.0145 * 34854 = 505.38

It should be $505.38 instead of $467.68

Part e

FICA tax is  given as sum of Social security tax and  Medicare taxes. This is given as

FICA Tax=Social Security Tax+Medicare Tax

FICA Tax=$2160+$505.38

FICA Tax=$2665.38

FICA Tax is $2665.38

Part f

From  the attached table, with $32104 as the  taxable income, as the head of household she owes $4199 in Federal tax.

From the attached wages and tax statement in column 2, she paid $4182.48. Thus she owes the difference $16.52 to the Federal Tax.

5 0
3 years ago
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