If set D is not the empty set but is a subset of set E, then which of the following is true? D ∩ E = D
D ∩ E = E
D ∩ E = Ø

Answers

Answer 1
Answer: Concept:
If every element of a set D is an element of set E, then D is the subset of E.
e.g
D={1,2,3},   E={1,2,3,4}
As all the elements of D are in E, so D is the subset of E.
Now the intersection of two sets D and E is the set of all elements which belong to both D and E.
As, in our example the set D={1,2,3} is the intersection of set D and set E.

From the above discussion, it is proved that If set D is not the empty set but is a subset of set E then 
 D ∩ E = D is the true answer.
Answer 2
Answer:

Answer:

first one is correct the one that is =D

Step-by-step explanation:


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if the radius of a circle is 3.5 inches its diameter is ____ inches and its approximate area is____ square inches

Answers

Answer:

Diameter = 7 inches

Area of circle is 38.46 inches²

Step-by-step explanation:

Given :The radius of a circle is 3.5 inches.

We have to find its diameter and area.

Since diameter is twice of radius.

So radius = 3.5 inches

Diameter = 2× 3.5 inches = 7 inches

Area of circle = \pi r^2

Substitute, r = 3.5

Area of circle = \pi (3.5)^2

Simplify , we have,

Area of circle = \pi 12.25

Using π = 3.14

We have,

Area of circle = 38.465

Thus, Area of circle is 38.46 inches²

The diameter is 7 inches and the area is 38.465. I got the answer by taking the area of a circle's formula which is 

pi r ^2 

Which pair of measurements is not equivalent?160 oz., 10 lb.
5 lb., 80 oz.
14,000 lb., 7 tons
4 tons, 6,000 lb.

Answers

If you would like to know which pair of measurements is not equivalent, you can calculate this using the following steps:

1 lb = 16 oz
1 ton = 2,000 lb

10 lb = 10 * 16 oz = 160 oz
5 lb = 5 * 16 oz = 80 oz
7 tons = 7 * 2,000 lb = 14,000 lb
4 tons = 4 * 2,000 lb = 8,000 lb

Not equivalent: 
4 tons, 6,000 lb.

Frank's bank charges a variable finance rate of 1.5 percent on purchases up to $100, and one percent for purchases over $100. If his unpaid balance is $354.15 this month, what is his finance charge?​

Answers

Answer:

Hi there, $4.04 should be his finance charge.

Step-by-step explanation:

How are equivalent fractions used when subtracting unlike fractions

Answers

they are used because when fractions Come you have to multiple and divide and subtract

What ordered pair is the vertex of y=|x+5|-1

Answers

y=|x+5|-1\n\nvertex\ in\ point\ where\ |x+5|=0\n\nx+5=0\n\nx=-5\to y=-1\n\nAnswer:vetrex(-5;-1)

|h-8|=|h+10| What is h

Answers

Your answer is h= -1

Final answer:

The value of h that satisfies the equation |h-8|=|h+10| is -1.

Explanation:

To solve the equation |h - 8| = |h + 10|, we need to consider two cases based on the absolute values.

  • First, when h - 8 is positive, we can rewrite the equation as h - 8 = h + 10. Simplifying this equation, we find that -18 = 0, which is not true.
  • Second, when h - 8 is negative, we rewrite the equation as -(h - 8) = h + 10.
  • Simplifying this equation, we get -h + 8 = h + 10.
  • Combining like terms, we have 2h = -2.
  • Dividing both sides by 2, we find that h = -1.

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