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Fudgin [204]
3 years ago
14

Let p stand for "This statement is false." What can be said about the truth value of p. (Hint: Did we really assign a truth valu

e to p? See Example 5 for a discussion of truth value assignment.)
Mathematics
1 answer:
pishuonlain [190]3 years ago
3 0

Answer: P means "This statement is false"

then, P is a "function" of some statement,

if i write P( 3> 1932) this could be read as:

3>1932, this statement is false.

You could see that 3> 1932 is false, so P( 3>1932) is true.

Then you could se P(x) at something that is false if x is true, and true if x is false, so p is a negation.

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a bell tolls every 10 minutes. another bell tolls every 15 minutes. both bells toll at 6:00pm. they will toll together at what t
Ne4ueva [31]
Basically, we need to find the lowest common multiple of 10 and 15.

that multiply would be 30. That means that the bells will ring together in 30 minutes.
So 30 minutes from 6 p.m. is 6:30 p.m. <==
4 0
3 years ago
Read 2 more answers
6+8d=7d solve for d.
Margarita [4]

Question -

6 + 8d = 7d

Solution-

6. = 7d - 8d

6. = -d

d. = -6

<h3>Verification </h3>

6 + 8(-6) = 7(-6)

6 - 48. = -42

-42. = -42

LHS= RHS

Hence value of d is -6

hope it helps

4 0
3 years ago
Read 2 more answers
What is 1-2sin^2x=sinx <br> Please show steps and find all solutions in interval [0,2pi)
Svetlanka [38]

Answer:

\large\boxed{x=\dfrac{3\pi}{2}\ \vee\ x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}}

Step-by-step explanation:

1-2\sin^2x=\sin x\\\\\text{substitute}\ t=\sin x,\ t\in[-1,\ 1]\\\\1-2t^2=t\qquad\text{subtract t from both sides}\\\\-2t^2-t+1=0\qquad\text{change the signs}\\\\2t^2+t-1=0\\\\2t^2+2t-t-1=0\\\\2t(t+1)-1(t+1)=0\\\\(t+1)(2t-1)=0\iff t+1=0\ \vee\ 2t-1=0\\\\t+1=0\qquad\text{subtract 1 from both sides}\\\boxed{t=-1}\\\\2t-1=0\qquad\text{add 1 to both sides}\\2t=1\qquad\text{divide both sides by 2}\\\boxed{t=\dfrac{1}{2}}

\sin x=-1\to x=-\dfrac{\pi}{2}+2k\pi,\ k\in\mathbb{Z}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}\\\\x\in[0,\ 2\pi)

x=-\dfrac{\pi}{2}\notin[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+2\pi=\dfrac{3\pi}{2}\in[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+4\pi=\dfrac{7\pi}{2}\notin[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}+2\pi=\dfrac{13\pi}{6}\notin[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}+2\pi=\dfrac{17\pi}{6}\notin[0,\ 2\pi)

4 0
4 years ago
A building 84 ft high casts a 46 ft shadow. How tall is a building that casts a 110 ft shadow at the same time of the day? (to t
Bond [772]
The ratio of building heights will be the same as the ratio of shadow lengths.
  (taller building)/(shorter building) = (longer shadow)/(shorter shadow)
  (taller building)/(84 ft) = (110 ft)/(46 ft) . . . . . . fill in the given numbers
  (taller building) = (84 ft)*(110/46) ≈ 200.9 ft . . multiply by 84 ft, evaluate

The appropriate selection is
  D) 200.9 ft
4 0
3 years ago
Read 2 more answers
The Revenue for the week is $2000, and labor cost consists of two workers earning $8 per hour who work 40 hours each, what is la
kkurt [141]

8*40 = 320 * 2 = $640 for the 2 workers

640/2000 = 0.32

labor cost is 32% of the revenue

8 0
3 years ago
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