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hoa [83]
3 years ago
14

Let set A = {odd numbers between 0 and 100} and set B = {numbers between 50 and 150 that are evenly divisible by 5}. What is A ∩

B? (2 points)
Mathematics
1 answer:
fgiga [73]3 years ago
6 0
<span>A = {odd numbers between 0 and 100}
</span><span>A = {1, 3, 5, 7,...., 95, 97, 99}

B = </span><span>{numbers between 50 and 150 that are evenly divisible by 5}
B = {50, 55, 60, 65, ..., 140, 145, 150}

The notation </span><span>A ∩ B means the set of items that are in set A and also in set B. In terms of venn diagrams, it's the overlapping region between circle A and circle B

In this case, the following values are found in both set A and set B
{55, 65, 75, 85, 95}

So that's why 
</span>A ∩ B = <span>{55, 65, 75, 85, 95}
which is the final answer
</span>
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Evaluate the discriminant of the equation. Tell how many solutions each equation has and whether the solutions are real or imagi
cupoosta [38]

Answer:

D=-4<0, the equation has no real solutions, it has two imaginary solutions.

Step-by-step explanation:

The quadratic equation x^2 +4x+5=0 has coefficients

a=1,

b=4,

c=5.

The discriminant D is the expression

D=b^2-4ac.

Hence,

D=4^2-4\cdot 1\cdot 5=16-20=-4

Since the discriminant is negative, the equation has no real solutions, it has two imaginary solutions.

4 0
3 years ago
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9. The temperature of a liquid that is increasing can be represented by the equation
34kurt

Answer:

92°F

Step-by-step explanation:

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6 0
3 years ago
What was the original price if: after 10% discount it becomes $450?
steposvetlana [31]
100-10=90

450=90% of original find 100%
divide by 9
50=10%
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Write equations as sentence. x-14=9​
Blababa [14]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Number of Gallons 2 4 x
Travka [436]

Answer:

The value of x is 8 gallon.

Step-by-step explanation:

Given a table  showing approximate conversion from gallons to liters.

Number of Gallons    2      4      x

Number of Liters      7.6  15.2  30.4

We are required to find value of x,

Given : 2 gallon is equal to 7.6 liters.

⇒  1 liter is equal to \frac{2}{7.6}=0.263 liters. ........(1)

given, x gallon equal to 30.4 liters.

⇒ 1 liter is equal to \frac{x}{30.4} liters.  .........(2)

from (1) and (2),

⇒  0.263=\frac{x}{30.4}

Solving for x, we get,

⇒  0.263 \times 30.4=x

⇒  7.9952=x

Approximately x = 8

Thus, the value of x is 8 gallon.

8 0
3 years ago
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