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4 years ago

If p is a true statement and q is false, what is the truth value of p ∨ q?

2 answers:

6 0

The answer is TF → T, because it says P is true and q is false. P is the first one (the T) and Q is the second one (the F). And since this is a true statement, it would say T after the arrow.

Dafna1 [17]4 years ago

3 0

$p\lor q$ is true if either of $p$ or $q$ is true. We know $p$ is true, which enough to say that $p\lor q$ is also true.

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Jeff is traveling from his home in Salem at a constant rate of 50 mph. He has already traveled 20 miles. His sister Jennifer is

leonid [27]

Answer

Find out the how long will it take Jennifer to catch Jeff.

To prove

Formula

$Speed = \frac{Distance}{Time}$

let us assume that the distance be denoted by d .

let us assume that the time be denoted by t .

As given

Jeff is traveling from his home in Salem at a constant rate of 50 mph.

He has already traveled 20 miles .

As put the values in the formula

$50 = \frac{d + 20}{t}$

50t - 20 = d

(As jeff already travelled 20 miles distance.)

As given

His sister Jennifer is making the same trip but at a constant rate of 60 mph and has only traveled 5 miles.

than put the value in the formula

$60 = \frac{d +5}{t}$

than the equation becomes

60t -5 = d

Than the two equation becomes

50t - 20 = d and 60t -5 = d

compare both the equation

50t - 20 = 60t -5

50t - 60t = 20 -5

- 10t = 15

$t = \frac{-15}{10}$

t = -1.5

(As time cannot be negative.)

t = 1.5 hours

1.5 hours will it take Jennifer to catch Jeff.

Option (A) is correct .

6 0

4 years ago

BRAINLIEST??????<br> for the equation -4y=8x what is the constant of variation

BigorU [14]

-4y = 8x

y = 8x/-4

y = -2x

The constant of variation is -2

5 0

3 years ago

What is the area of sector GPHthe area of the sector GPH is __ square yards. in exact terms of pi

finlep [7]

The Solution:

Given:

We are required to find the area of the sector GPH.

The formula for the area of sector GPH is:

$\begin{gathered} A=\frac{\theta}{360}\times\pi r^2 \\ \\ \text{ In this case,} \\ \theta=40^o \\ r=radius=15yards \\ A=area=? \end{gathered}$

Substitute these values in the formula.

$A=\frac{40}{360}\times\pi\times15^2=\frac{15^2\pi}{9}=25\pi\text{ }yards^2$

Therefore, the correct answer is:

8 0

2 years ago

Question

kondor19780726 [428]

Answer: r = 11

Step-by-step explanation:

We know that the point (-2, r) lies on the graph of:

2*x + y = 7.

Then, if we that point is on the graph of the equation, we can replace the values and we will have:

2*(-2) + r = 7

and now we solve this for r-

-4 + r = 7

r = 7 + 4 = 11

r = 11

6 0

3 years ago

The value of a 1970 comic book has increased 12% per year. It originally sold for $0.35. Write an exponential equ Show your work

Alborosie

we can think of this as the same as a deposit in a bank, so let's use the compound interest formula, since the book is increasing in value 12% per annum.

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$0.35\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per annum, thus once} \end{array}\dotfill &1\\ t=years\dotfill &t \end{cases} \\\\\\ A=0.35\left(1+\frac{0.12}{1}\right)^{1\cdot 5}\implies A=0.35(1.12)^t$

6 0

4 years ago