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Dominik [7]
3 years ago
6

Given the sets above, select all (or the null set) of the element of: B

Mathematics
1 answer:
Elanso [62]3 years ago
5 0

Given:

Universal set = {a, b, c, d, e, f, g, h}

A = {a, b, c, d}

B = {a, d, e}

C= {c, f, g, h}

To find:

The elements of set B'.

Solution:

Let universal set be U.

U = {a, b, c, d, e, f, g, h}

We know that,

Compliment of a set = Universal set - Set

It means,

B'=U-B

B'=\{a, b, c, d, e, f, g, h\}-\{a,d,e\}

B'=\{b, c,f, g, h\}

Therefore, only b, c, f, g, h are the elements of set B'.

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The product of two consecutive square numbers is 144. Work out the two numbers
Sergio [31]

Let the first number be = x

Let the second number which is consecutive be = x+1

As given, the product of two consecutive square numbers is 144

x^{2}*(x+1)^{2}=144

Square rooting both sides we get

x(x+1)=12

x^{2}+x=12

x^{2}+x-12=0

x(x+4)-3(x+4)=0

(x-3)(x+4)=0

x=3 or x=-4

Neglect the negative value so we get x=3

Hence, one number is 3 and the consecutive number is = 3+1=4

The square of the numbers are 9 and 16.

6 0
3 years ago
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Romashka-Z-Leto [24]

Answer:

(A) 126400

(B) 8.57%

Step-by-step explanation:

(A) According to the scenario, calculation of the given data are as follows,

Visitors in June = 121660

Let visitors in May = X

Difference in visitors number in June = 3.75% decrease

So, we can calculate the visitors number in may by using following formula,

Number of visitors in June = X - 3.75%X

121660 = 96.25%X

X = (121660 × 100) ÷ 96.25

X = 126400

Hence, Number of visitors in may = 126400

(B). Difference in visitors in July than in May = 4.5% increase

So, Number of visitors in July = 126400 + (126400 × 4.5%)

= 126400 + 5688

= 132088

Now, we will calculate increase in percentage by using following formula,

Increase percentage = (132088 - 121660)  ÷ 121660

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= 0.0857 or 8.57%

7 0
3 years ago
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Transformation possiblitites:

Translation: After plotting the points you gave I came to the conclusion that a translation could not be the right transformation due to the fact that the point would move away the same units on a graph as the original point.

Rotation: The new point doesn't seem when graphed to have rotated, as it remained across from the orignial point on the graph.

Dilation: The new point if dilated wouldn't be in close proximity with the original point.

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3 years ago
what is a correct first step in solving the inequality –4(3 – 5x)≥ –6x 9? –12 – 20x ≤ –6x 9 –12 – 20x ≥ –6x 9 –12 20x ≤ –6x 9 –1
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we have

-4(3-5x) \geq -6x+9

Step 1

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therefore

<u>the answer is</u>

-12+20x\geq -6x+9

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