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Katena32 [7]
2 years ago
5

If U = the set of odd natural numbers and B = {13, 15, 17, 19, 21, 23, . . .}, find B′.

Mathematics
2 answers:
Yuki888 [10]2 years ago
8 0

Answer:

{1,3,5,7,9,11}

Step-by-step explanation:

B' stands for the complement of B.

B' means set elements in the universe that aren't in B.

Here is the universe:

U={1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,...}

(The dots mean it continues with that pattern forever and ever.)

And the elements we taking out:

B={13,15,17,19,21,23,...}

So we taking out the odd numbers from U that are odd and greater than or equal to 13. (The dots mean it continues with that pattern forever and ever.)

So B' is the set of natural odd numbers that are less than 13:

{1,3,5,7,9,11}

Elis [28]2 years ago
8 0

Answer:

B' = {1, 3, 5, 7, 9, 11}.

Step-by-step explanation:

B' is the set of the odd natural number which are not in U - that is odd numbers less than 13.

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Deepak wrote out the steps to his solution of the equation StartFraction 5 Over 2 minus 3 x minus 5 plus 4 x equals negative Sta
Anna35 [415]

Answer:

Step 1 is incorrect.

Step-by-step explanation:

The given expression is :

\dfrac{5}{2}-3x-5+4x=\dfrac{-7}{4}

In step 1, Deepak rearranged the terms in order to simplify like terms together that is followed in step 2.

o, rearranging of the terms of an expression is commutative property and not distributive property.  The distributive property is generally applicable to multiplication and is given as:

x(y+z)=xy+yz

The commutative property is given as:

x+y = y +a

Therefore, adding terms by changing their order is commutative property of addition and not distributive property. Step 1 instruction is wrong.

6 0
3 years ago
Read 2 more answers
The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Use 3.14 for pi. Round to
Andru [333]
The area of a full circle is given by
  A = π*r^2
so the area of a 1/4 circle will be 1/4 of that:
  A = (π/4)*r^2

The area of a parallelogram is the product of base length and height:
  A = bh

Your composite figure will have an area that is the sum of the areas of the parts.
  A = (quarter circle area) + (parallelogram area)
  A ≈ (3.14/4)*(14 in)^2 +(14 in)*(5 in)
  A ≈ 223.86 in^2 ≈ 224 in^2

The most appropriate selection is the last one,
  224 in^2
7 0
3 years ago
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PLEASE HELP! Slope parallel to line y = 2x/3 + 4 PLZ!
marta [7]

Answer:

2/3

Step-by-step explanation:

I think you meant y=2/3x+4 because what you wrote is not the right way to right that equation, but anyways the slope of the parallel line is 2/3 because lines that are parallel have the same slope.

I hope this helps!

5 0
3 years ago
To get from his house to the lecture hall at school, Lin walked west 651 feet. After class, he walked northeast 910 feet to the
Ahat [919]

The general direction that Lin walked from the gym to his house is; B: Lin walked southwest, creating an obtuse triangle.

<h3>How to interpret distance bearing?</h3>

We are given;

Distance between the lecture hall and gym = 910 feet.

Distance between the gym and Lin apostrophe's house = 615 feet.

Distance between the lecture hall and Lin apostrophe's house = 651 feet.

Now, since this 3 distances form a triangle and the 3 distances are unequal, then we can call it an obtuse triangle since he walked west and then walked northwest.

Now, since he walked back to his house from the gym, we can say that he walked southwest if we picture the bearing of his first two directions.

Read more about Distance Bearing at; brainly.com/question/22719608

#SPJ1

4 0
1 year ago
Please help me!! This is algebra 1
MatroZZZ [7]

Domain:

We know that

domain is all possible values of x at which y is defined

so, all given x-values in this table is domain

so, domain is {-2, -1, 0, 1, 2, 3}...........Answer

Range:

We know that

range is all possible values of y at which x is defined

so, all given y-values in this table is range

so, range is {-3, -1, 1, 3,5, 7}...........Answer


7 0
2 years ago
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