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maks197457 [2]
4 years ago
7

Compare the two expressions

Mathematics
1 answer:
Art [367]4 years ago
8 0
Yes, they are equivalent
6+7-5=8. -5+10+3=8
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Select all of the following true statements if R = real numbers, Z = integers, and W = {0, 1, 2, ...}
scoundrel [369]
We can start solving this problem by first identifying what the elements of the sets really are.

R is composed of real numbers. This means that all numbers, whether rational or not, are included in this set.

Z is composed of integers. Integers include all negative and positive numbers as well as zero (it is essentially a set of whole numbers as well as their negated values).

W on the other hand has 0,1,2, and onward as its elements. These numbers are known as whole numbers.

W ⊂ Z: TRUE. As mentioned earlier, Z includes all whole numbers thus W is a subset of it.

R ⊂ W: FALSE. Not all real numbers are whole numbers. Whole numbers must be rational and expressed without fractions. Some real numbers do not meet this criteria.

0 ∈ Z: TRUE. Zero is indeed an integer thus it is an element of Z.

∅ ⊂ R: TRUE. A null set is a subset of R, and in fact every set in general. There are no elements in a null set thus making it automatically a subset of any non-empty set by definition (since NONE of its elements are not an element of R).

{0,1,2,...} ⊆ W: TRUE. The set on the left is exactly what is defined on the problem statement for W. (The bar below the subset symbol just means that the subset is not strict, therefore the set on the left can be equal to the set on the right. Without it, the statement would be false since a strict subset requires that the two sets should not be equal).

-2 ∈ W: FALSE. W is just composed of whole numbers and not of its negated counterparts.
5 0
4 years ago
Read 2 more answers
A water tank has a diameter of 15 ft and is 22 ft high. a. What is the volume of the tank in ft?? b. In m?? c. In cm?
rodikova [14]

Answer:

a) V = 3887.72 ft^{3}

b)V = 104.97 m^{3}

c)V = 104,968,468.538 cm^{3}

Step-by-step explanation:

A tank has the format of a cylinder.

The volume of the cylinder is given by:

V = \pi r^{2}h

In which r is the radius and h is the heigth.

The problem states that the diameter is measured to be 15.00 ft. The radius is half the diameter. So, for this tank

r = \frac{15}{2} = 7.50 ft

The height of the tank is 22 ft, so h = 22.

a) Volume of the tank in ft^{3}:

V = \pi r^{2}h

V = pi*(7.5)^2*22

V = 3887.72 ft^{3}

b) Volume of the tank in m^{3}:

We must convert both the radius and the height to m.

Each feet has 0.30 m, so:

Radius:

1 feet - 0.30m

7.5 feet - r m

r = 7.5*0.30

r = 2.25m

Height

1 feet - 0.30m

22f - h m

h = 22*0.30

r = 6.60m

The volume is:

V = \pi r^{2}h

V = pi*(2.25)^2*6.60

V = 104.97 m^{3}

c) Volume of the tank in cm^{3}:

Each m has 100 cm.

So r = 2.25m = 225cm

h = 6.60m = 660cm

The volume is:

V = \pi r^{2}h

V = pi*(225)^2*660

V = 104,968,468.538 cm^{3}

7 0
4 years ago
The coordinates of the vertices of a polygon are (−2,1), (−3,3), (−1,5), (2,4), and (2,1).
tino4ka555 [31]
15.9 units is the answer plus just for the future you should try plotting them down and adding that to the question.
5 0
3 years ago
A _______________________ is a conclusion after you have observed the patterns.
Naily [24]

Answer:

Inductive Reasoning is the process of arriving at a general conclusion based on observations of specific examples. When you try to find the pattern for a list of numbers or visuals, you are using inductive reasoning.

4 0
3 years ago
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HELP AS SOON AS POSSIBLE PLEASE : What is the distance between 7 and -1?
Alekssandra [29.7K]

Answer:

8

Step-by-step explanation:

3 0
4 years ago
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