All categories

3 years ago

What is the solution set of{x|X<-3} n {xl x> 5)?

Mathematics

1 answer:

dsp733 years ago

6 0

Answer:

C) Solution set of{x|X<-3} n {xl x> 5) is an the empty set.

Step-by-step explanation:

Here, the solution set is given as : set of {x| x < -3 } ∩ {x l x > 5)

Now, defining the each set , we get

{x| x < -3 } = ( .... -6,-5,-4 ,-3) = P

and the SET {x l x > 5} = (5,6,7,........ ) = Q

Now, by taking the intersection of two sets,we get

P ∩ Q = NULL SET as they don not have any element in common.

⇒ {x| x < -3 } ∩ {x l x > 5} is an empty set

Hence, solution set of{x|X<-3} n {xl x> 5) is an the empty set.

You might be interested in

The school is 625 meters far from Alex house. It took him 15 minutes to go from home to school, and run back to home in 10 minut

Lynna [10]

His average speed was 50 m/min

8 0

4 years ago

How to find the area of the shaded areas and to round the nearest hundredth please and thank you it help me a lot if you could a

andrew-mc [135]

<h3>Please Read Through This, Answers are Listed.</h3>

As a heads up, this post is going to be very long.

So to do these questions, first know what you need to do.

Goals to do:

1 - Find the area of the circle

2 -Find how much of it is shaded

3 -Find the shaded's area.

So, the first goal is to find the area of the circle, well that's fairly simple. Just do pi r². (r stands for the radius)

With the first question, they list the length GH as 11 inches. So just plug it in!

pi 11² ---> pi * 121 ---> ≈380.13

Next, find the amount that is shaded. So with that, look at the angle inside the circle, it is 64°. By knowing that the whole circle is 360°, just do 64/360 to find the an "important number".

64/360 ---> 0.17777777...

By using this important number and multiplying it with your total circle area, you'll get your answer.

380.13 * 0.17777777... ---> ≈ 67.6in² (QUESTION 1 ANSWER)

And then just do the same with the rest...

Question 2:

pi 22² ---> pi * 484 ---> 1520.53

139/360 ---> 0.38611

1520.53 * 0.38611 ---> ≈ 587.09cm² (QUESTION 2 ANSWER)

Question 3:

pi 3² ---> pi * 9 ---> 28.27

84/360 ---> 0.2333...

28.27 * 0.2333 ---> ≈6.60mm² (QUESTION 3 ANSWER)

Question 4:

pi 14.2² ---> pi * 201.64 ---> 633.47

***Because the angle is in the blank space, subtract it from 360 first before continuing.

360 - 87 ---> 273/360 ---> 0.7583333

633.47 * 0.7583333 ---> ≈480.38m² (QUESTION 4 ANSWER)

Question 5:

pi 9² ---> pi * 81 ---> 254.47

***Because the angle is in the blank space, subtract it from 360 first before continuing.

360 - 42 ---> 318/360 ---> 0.88333

254.47 * 0.88333 ---> ≈224.78in² (QUESTION 5 ANSWER)

Question 6:

pi 28² ---> pi * 784 ---> 2463.01

115/360 ---> 0.319444

2463.01 * 0.319444 ---> ≈786.79m² (QUESTION 6 ANSWER)

Question 7:

pi 32.5² ---> pi * 1056.25 ---> 3318.31

29/360 ---> 0.080555

3318.31 * 0.080555 ---> ≈267.31ft² (QUESTION 7 ANSWER)

Question 8

pi 29.5² ---> pi *870.25 ---> 2733.97

***Because the angle is in the blank space, subtract it from 360 first before continuing. Along with that, the angle has a square in place of a number, meaning that it is a right angle, or 90°.

360-60 ---> 270/360 ---> 0.75

2733.97 * 0.75 ---> 2050.48mi² (QUESTION 8 ANSWER)

8 0

4 years ago

129 -21x + 8 -9x + 13 -2

erastovalidia [21]

Answer:

-30 x +148

Step-by-step explanation:

MARK BRAINLIEST!

6 0

4 years ago

Read 2 more answers

Sales tax is a function of the price of an item. The amount of sales tax is 0.08 times the price of the item. Use h to represent

Margaret [11]

Option C:

h(x) = 0.08x

Solution:

Given data:

Sales tax is a function of the price of an item.

Let h be the function.

Take x be the price of an item.

Amount of sales tax = 0.08 times price of the item

= 0.08 × x

Amount of sales tax = 0.08x

⇒ h(x) = 0.08x

Hence the function is h(x) = 0.08x.

Option C is the correct answer.

5 0

3 years ago

Rewrite in exponential form: logg X = 6

rosijanka [135]

Answer:

x=9^6

Step-by-step explanation:

convert the logarithm into exponential form using the fact that loga (x)=b is equal to x=a^b

x=9^6

5 0

3 years ago