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Dmitrij [34]
2 years ago
13

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:

  1. hypothesis (if)
  2. 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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Find the slope and y-intercept of the following graph.
Orlov [11]

Answer: y = -5*x + b

Step-by-step explanation:

A line is written as:

y = a*x + b

where a is the slope and b is the y-intercept.

IIf we have a line that passes through the points (x1, y1) and (x2, y2) then the slope of the line is:

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

In this case we can see that the line passes through the points:

(0, 2) and (1, - 3)

Then the slope is:

a = (-3 - 2)/(1 - 0) = -5

Then our line is:

y = -5*x + b

And when x = 0, y = 2 then:

y = 2 = -5*0 + b

2 = b

Our line is:

y = -5*x + b

6 0
3 years ago
Find the values for a and b that would make the following equation true (ax^2)(-6x^b)=12x^5
dedylja [7]

Answer:

x^b=x^3

Step-by-step explanation:

(ax^2)(-6x^b)=12x^5

(a)(6)=6a or a6

(x^2)(x^b)=x^5

x^3 because

(a^b)(a^c)=a^b+c

Hope this helped.

3 0
3 years ago
A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.
creativ13 [48]

Answer:

About 20%

Step-by-step explanation:

The probability of a point on the un-shaded region will be given by;

Area of the shaded region/total area

Considering that the circles are of the same size, then the length of the square is 2d

Area of the square = 4d²

Area of the shaded = (4d² -4π(d/2)²

                                = 4d² -πd², but π = 22/7

                                = 6/7d²

Probability = (6/7d² ÷ 4d²) × 100%

                  = (6/28 d²) × 100%

                  = 21.42 %

Therefore; the answer is about 20%

3 0
3 years ago
Principal = 5300=5300 rupees
PSYCHO15rus [73]

Answer:

Using the formula:

A=P+I

where

A is the total amount

P is the principal

I is the Simple Interest

As per the statement:

Principal(P) = 5300 rupees.

rate of interest(r) = 6.5% = 0.065

Total amount(A) = 6678 rupees.

Then using above formula we have;

6678 = 5300+I

Subtract 5300 both sides we get;

1378 = I

or

I = \$1378

We have to find the time period.

Using formula of Simple interest:

I = Prt

where r is the rate of interest (in decimal)

here, r = 6.5% = 0.065

Substitute the given values top find t:

1378 = 5300 \cdot 0.065 \cdot t

⇒1378 = 344.5t

Divide both sides by 344.5 we have;

4  = t

Therefore, the time period t in years is 4 years

8 0
3 years ago
Marco and Drew stacked boxes on a shelf. Marco lifted 9 boxes and Drew lifted 14 boxes. The boxes that Drew lifted each weighed
MrRa [10]
The correct answer is b. 14(m-8).

This is because it says that the weight of the boxes drew lifted were 8 pounds less than what marco lifted.  This can be represented by m-8.  You then need to multiply this by the amount of boxes that drew lifted, or 14.  
8 0
3 years ago
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