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Neporo4naja [7]
2 years ago
5

PLEASE HELP AS SOON AS POSSIBLE I NEED TO SUBMIT THIS IN 10 MINUTES!!!!

Mathematics
1 answer:
aev [14]2 years ago
3 0

Answer:

1. A. falling asleep

2. D. taking more time to wind down before bedtime

3. B. There is more than one reason that people have trouble sleeping.

4. C. The problem of falling asleep has been around for a long time and affects many people

5. A. why kids have trouble falling asleep and what they can do about it

6. A. something done over and over

Step-by-step explanation:

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Use a truth table to show that P Qand (~PV Q) A (~QV P) are equivalen
kati45 [8]

Answer:  The given logical equivalence is proved below.

Step-by-step explanation:  We are given to use truth tables to show the following logical equivalence :

P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P)

We know that

two compound propositions are said to be logically equivalent if they have same corresponding truth values in the truth table.

The truth table is as follows :

P     Q      ∼P     ∼Q     P⇔ Q    ∼P ∨ Q     ∼Q ∨ P        (∼P ∨ Q)∧(∼Q ∨ P)

T     T         F        F             T            T                   T                       T

T     F         F        T             F             F                   T                       F

F     T         T        F             F            T                   F                       F

F     F         T        T             T            T                   T                       T

Since the corresponding truth vales for P ⇔ Q and (∼P ∨ Q)∧(∼Q ∨ P) are same, so the given propositions are logically equivalent.

Thus, P ⇔ Q ≡ (∼P ∨ Q)∧(∼Q ∨ P).

8 0
4 years ago
Cos (a + 60 ) + Cos (a-60)​
Nadusha1986 [10]

Answer:

the answer is 0.9988747935

hope that works!!

8 0
3 years ago
A can in the shape of a right cylinder is filled with 10W-40 oil. The weight of 10W-40 oil is 0.857 gram per cubic centimeter. I
Leya [2.2K]
To solve this, we have to find the volume of the cylinder first.  The formula to be used is V =  \pi  r^{2} h

Given:V= ?r= 6cmh= 10cm
Solution:V =  \pi  r^{2} h
V= (3.14)(6cm)^{2} x 10cmV= (3.14)(36cm^{2}) x 10cmV= (113.04cm^{2}) x 10cmV= 1130.4cm^3
Finding the volume of the cylinder, we can now solve what the weight of the oil is.  Using the formula of density, Density = mass/volume, we can derive a formula to get the weight.
Given:Density = 0.857 gm/cm^3Volume = 1130.4 cm^3
Solution:weight = density x volumew= (0.857 gm/cm^3) (1130.4cm^3)w= 968.7528 gm
The weight of the oil is 968.75 gm.
5 0
3 years ago
If y-18=14 what is the value of 3(y+5)?
svlad2 [7]
y-18=14\ \ \ /+18\\\\y-18+18=14+18\\\\y=32\\\\substitute\ to\ 3(y+5):\\\\3\cdot(32+5)=3\cdot37=111
4 0
3 years ago
How many social security numbers are available if the only restriction is that the number 000-00-0000 cannot be assigned?
harkovskaia [24]
Each digit can be 0-9 ( 10 numbers)
 there are 9 numbers in a social security number

multiply 10 nine times:
10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 =  1,000,000,000 ( 1 billion) possibilities.
 
 the restriction is it can't be all zeros so subtract 1 from the total
 1,000,000,000 - 1 = 999,999,999 combinations



3 0
3 years ago
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