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sergiy2304 [10]
3 years ago
6

using a number line, find both the intersection and the union of the following interval: (-∞, 7) and [-5, +∞)

Mathematics
1 answer:
Gwar [14]3 years ago
7 0

Step-by-step explanation:

the intersection of the interval: (-∞, 7) and [-5, +∞)

is [-5, 7)

and the union of the interval: (-∞, 7) and [-5, +∞)

is (-oo, +oo)

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The answer 7.2 grams
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3 years ago
What is ; <br><br>i^82<br><br>(Show work) ​
vlabodo [156]

Answer:

-1

Step-by-step explanation:

We know that i^4 is equal to one so what you do is divide by 4 and the remainder is your simplified version

In this case the remainder is two which means taht i^82 = i^2 = -1

4 0
3 years ago
A sum of money is shared between Ali and
Zarrin [17]

Answer:

Ben' share = 2(600/5) = $240

Step-by-step explanation:

Let the sum of money be x

Given that the ratio between Ali and Ben is 3:2

As adding both parts of ratio gives 5 parts so,

For finding one part = x/5

So according to given condition:

Ali's share(one part) + Ben's share(one part) = 120

3(x/5) - 2(x/5) = 120

By simplifying:

x/5 = 120

Multiplying both sides by 5

x = 600

So the total amount is 600

Ali's share would be = 3(600/5) = $360

Ben' share = 2(600/5) = $240

i hope it will help You!

6 0
3 years ago
Jade had the following system of equations to help her with a physics problem, but she only needed to know what the sum of x and
pav-90 [236]
From the second:

2x-y=4

x=(4+y)/2 and applying this to first:

4+y+3y=12

4y+4=12

4y=8

y=2 and since x=(4+y)/2, x=3 so 

x+y=2+3=5
8 0
3 years ago
A yellow hot-air balloon is 100 feet off the ground and rising at rate of 8 feet per second.An orange hot-air balloon is 160 fee
Serhud [2]

ANSWER

Find out the how long will the Yellow balloon be higher than the orange balloon.

To proof

Now  the diagram is given below

As given

A yellow hot-air balloon is 100 feet off the ground and rising at rate of 8 feet per second.

i.e height of the yellow baloon off the ground  = 100 feet

rising at rate = 8 feet per second.

.An orange hot-air balloon is 160 feet off the ground and rising at a rate of 5 feet per second.

i.e height of the orange baloon off the ground  = 160 feet

rising at rate = 5feet per second.

Formula

Relative\ velocity = \frac{Relative\ Distance}{Relative\ time}

Relative velocity =  rising rate of yellow balloon -   rising rate of orange balloon

= 8 -5

= 3 feet per second

Relative distance =  height of the yellow baloon off the ground -  height of the orange baloon off the ground

= 160 -100

= 60 feet

put in the formula

= \frac{60}{3}

= 20 second

after  20 second Yellow balloon will be higher than the orange balloon.

Hence proved

8 0
3 years ago
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