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Kruka [31]
3 years ago
7

Find the complement of the set given that

Mathematics
1 answer:
iris [78.8K]3 years ago
4 0

Answer:

A ' = {-2,-1,0,1, 4,7}

Step-by-step explanation:

Here, the Universal set U is given as:

U = {x | x is in I and −3 ≤ x ≤ 7}

⇒ U = { -3,-2,-1,0,1,2,3,4,5,6,7}

Now given: A = {−3, 2, 3, 5, 6}

Compliment  A set of any set A is the set of all the elements which is in the universal set U but NOT in A.

So, here the set of elements which are in U but not in A  is

A ' = {-2,-1,0,1, 4,7}

So here the elements in the compliment of the given set -2,-1,0,1,4,7

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in a square garden plot (with an area of 400 sq ft)deer fencing priced at $1.50 per foot is to be installed around the plot. if
mina [271]

We have a square garden of 400 square foot.

The area of a square is:

A=x^2

where x: side length.

In this case:

\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

P=4x=4\cdot20=80\text{ ft}

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

C=1.50\cdot(1+0.07)=1.50\cdot1.07=1.605\text{ \$/ft}

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

F=C\cdot P=1.605\frac{\text{\$}}{\text{ft}}\cdot80\text{ ft}=\$128.40

Answer: the fencing will cost a total of $128.40

8 0
1 year ago
Solve each inequality.<br> X+5 &lt; 6 <br> Pls help
agasfer [191]

Answer:

x<1

Step-by-step explanation:

You would just subtract 5 from both sides of the equation. The sign does not flip because you are not multiplying or dividing any negative number across the sign.  So simply x+5 (-5) < 6 (-5). On the left side the 5 would cancel out.  on the other side 6-5 is equal to 1.

Answer:  x<1

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nadya68 [22]

Answer:

Solution

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Step-by-step explanation:

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The square root of 16 is 4 you do 4x4=16

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An athlete eats 75g of protein per day while training. How much protein will she eat during 23 days of training? Write your answ
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K ⇒ Kilograms
  H 
    D
      B ⇒ grams
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          C
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so you jump the decimal 3 jumps to the left
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3 years ago
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