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2 years ago

What is the truth value of "If yesterday was Tuesday then today is Wednesday"

Mathematics

1 answer:

ehidna [41]2 years ago

7 0

Answer:

the required truth value of the statement will be:

p q p → q

T T T

Step-by-step explanation:

A conditional statement contains two parts:

hypothesis (if)
conclusion (then)

We know that the truth table for the conditional statement is:

p q p → q

T T T

T F F

F T T

F F T

Given the statement that "If yesterday was Tuesday then today is Wednesday" indicates that the hypothesis is true and the conclusion is also true. Meaning that we only get Wednesday if the previous day was Tuesday.

Thus the required truth value of the statement will be:

p q p → q

T T T

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zimovet [89]

Not equivalent to any of the given expressions.

Step-by-step explanation:

${7}^{2m} . {6}^{2m} \\ \\ = (7.6) ^{2m} \\ \\ = {42}^{2m}$

Hence, ${42}^{2m}$ is not equivalent to any of the given expressions.

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3 years ago

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Another Quick Question, True or false: The Intersection of two rays creates two pairs of vertical angles and four pairs of suppl

andrey2020 [161]

Answer:

True

Step-by-step explanation:

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2 years ago

What is the slope of this line? - 2/3 2/3 1/3 - 1/3

Paul [167]

Answer:

2/3

Step-by-step explanation:

slope =(y1-y2)/(x1-x2)

slope=(1-(-1))/(6-3)

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3 years ago

A media company wants to track the results of his new marketing plan so the video production manager recorded the number of use

konstantin123 [22]

Answer:

$f(x)=5120(5)^{x}$

Step-by-step explanation:

From the image, f(x) and x are rlated by

$f(x)=a( {b})^{x}$

where b is the common ratio

We first find the value for b

$\frac{6400}{5120}= 5$

$\frac{8000}{6400}= 5$

$\frac{10000}{8000} = 5$

$\frac{12500}{10000} = 5$

$\frac{15625}{12500}=5$

so we can say the common ratio, b=5

we put in any value of f(x) and the corresponding value for x to find a value

Let put x=0 and f(x)=5120

This implies that

$5120 = a(5)^{0}$

but

$5^{0} = 1$

Hence a=5120

Thus the equation which model the relationship between the weeks and the viewers is

$f(x)=5120(5)^{x}$

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2 years ago

Caden states that n^2 +3n + 2n is an equivalent expression to 6n. Why is Caden's statement incorrect?

malfutka [58]

$\begin{gathered} \text{The simplification of n}^2+3n+2n\text{ is:} \\ i)n^2+5n \\ By\text{ collecting common term, this can be written in form of:} \\ ii)\text{ n(n+5)} \end{gathered}$

Thus, options A and D hold, from the simplifications above.

Let's consider the validity of the remaining options provided.

$\begin{gathered} \text{For option B)} \\ \text{substitute for n=1 into the expression n}^2+3n+2n,\text{ we have} \\ 1^2+3(1)+2(1)=1+3+2=6 \\ \text{substitute for n=1 into the expression 6n, we have} \\ 6(1)=6 \\ \text{Thus, the expression n}^2+3n+2n\text{ is equivalent to 6n, for n=1} \end{gathered}$ $\begin{gathered} \text{For option C)} \\ \text{The expression n}^2+3n+2n\text{ does not simplify to 7n} \end{gathered}$ $\begin{gathered} \text{For option E)} \\ \text{substitute for n=4 into the expression n}^2+3n+2n,\text{ we have:} \\ 4^2+3(4)+2(4)=16+12+8=36 \\ \text{substitute for n=6 into the expression 6n, we have:} \\ 6(4)=24 \\ \text{Thus, the two(2) expressions are not equivalent to each other, for n=4} \end{gathered}$ $\begin{gathered} \text{For option F)} \\ \text{substitute for n=3 into the expression n}^2+3n+2n,\text{ we have:} \\ 3^2+3(3)+2(3)=9+9+6=24 \\ \text{substitute for n=3 into the expression 6n, we have:} \\ 6(3)=18 \\ \text{Thus, the two(2) expressions are not equivalent to each other, for n=3} \end{gathered}$

Hence, the correct options that apply are options A, D, E and F

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10 months ago