Use the rules of inference to prove the conclusion r given (all 1,2,3 and 4) the four premises listed below. Write your solution as a numbered sequence of statements. Identify each statement as either a premise, or a conclusion that follows according to a rule of inference from previous statements, or it is equivalent to a previous statement by the rules of logical equivalences. You should give the rule used by name and refer by number to the previous statement(s) that the rule was applied to.

a. p +- (premise)
b. p Vu (premise)
c. q (premise)
d. ((r Λ t) V p) V-u (premise)

Answer:

5 inches

Step-by-step explanation:

its simple

1in-100m

500m= 100m x 5

so multiply five to the other side

1in x 5=5 in

5in-500m

Answer:

5 inches

Step-by-step explanation:

100 miles = 1 inch

500 miles = 500/100 * 1 = 5 inches

you're welcome....

The probability that a student is a female given that they have an A is 0.2

The given parameters are:

Female = 11

A= 10

Female and A = 2

The probability is calculated using:

P(Female given A) = P(female and A)/P(A)

This gives

P(Female given A) = 2/10

Simplify

P(Female given A) = 0.2

Hence, the probability that a student is a female given that they have an A is 0.2

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Answer:

8 laps per minute

Step-by-step explanation:

56 laps in 7 minutes corresponds to the unit rate:

56 laps / 7 minutes = 8 laps/minute

That is : 8 laps per minute

Answer:

8 laps per min

Step-by-step explanation:

56 laps in 7 minutes!? They must be the flash

Answer:

37.92

Step-by-step explanation:

just add

Answer:

The answer would be $8.60

Step-by-step explanation:

np

Answer: 20

Step-by-step explanation:

Answer: Plz don't come for me if its wrong but I think the answer is 21

Step-by-step explanation: Because there are 60 people in all and 16 had blond hair, 20 had black hair and 3 had red hair and 60-16-20-3=39 then you have to take 60-39 and you get 21

Answer:

72cm³

Step-by-step explanation:

The volume of the rectangular prism = Base area * Height

Base area = length * width

Base area = 6cm * 3cm = 18cm²

Height = 4cm²

volume of the rectangular prism = 18 * 4

volume of the rectangular prism = 72cm³

Answer:

gggg

Step-by-step explanation:

duxufif8fis5durris5is

Answer:

7( 2x+7)

Step-by-step explanation:

14 X +49

Rewriting

2*7*x + 7*7

Factor out a 7 from each term

7( 2x+7)

Step-by-step explanation:

54-month loan with a 6% annual simple interest rate plaese awnser correctly ned today step by step can you tell me

Answer:

105

Step-by-step explanation:

Answer:

the length of the fence is 37.7 feet

Step-by-step explanation:

The computation is given below:

Given that

Diameter = 12 feet

So, the radius is the half of the diameter = 6 feet

Now the length of the fence is

= 2 × π × r

= 2 × 3.14 × 6

= 37.68 feet

= 37.7  feet

Hence, the length of the fence is 37.7 feet

The length of the fence will be 37.7 feet.

Based on the information given, we are informed that the circular swimming pool is 12 feet across and is enclosed by a fence. We want to calculate the perimeter.

The perimeter of a circle will be:

= πd

where,

π = 3.142

d = 12 feet

Therefore, the length of the fence will be:

=πd

= 3.142 × 12

= 37.7 feet

The length of the fence is 37.7 feet.

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Answer:

−8p−3

Step-by-step explanation:

Answer:

35°

Step-by-step explanation:

4x+11 = 5x-24

5x-4x=x

x=24+11

x=35

9514 1404 393

Answer:

Step-by-step explanation:

The conventional way to work these problems is to make use of the formulas for areas of a triangle, rectangle, and semicircle. If you've used these formulas for a while, you recognize that they give you certain relationships that may make these problems easy to do mentally.

__

1. The area of a triangle is half the product of height and width, so is equivalent to the area of a rectangle either half as high, or half as wide. We note that the width of the sail is 5 cm, so half that is 2.5 cm--exactly the same as the height of the boat's hull. That means we can add the height of the sail to the length of the boat, and the total area can be considered to be the same as that of a rectangle that is

  2.5 cm high × (12 cm + 6 cm) long = (2.5)(18) cm² = 45 cm²

__

2. The usual formula for the area of a circle is ...

  A = πr²

When expressed in terms of diameter, this becomes ...

  A = π(d/2)² = (π/4)d²

Then the area of a semicircle is half that, or (π/8)d². This is equivalent to the area of a rectangle that is "d" wide and "π/8·d" high. That is, the approximate area of the semicircle is that of a rectangle 4 cm high by (π/8·4 cm) = π/2 cm wide. In other words, the semicircle effectively adds π/2 cm to the left end of the 6 cm central rectangle of the figure.

As discussed above, the area of a triangle is equivalent to the area of a rectangle half as high. In this figure, the triangle is 10-6 = 4 cm wide, so can be considered to contribute 4/2 = 2 cm to the right end of the 6 cm central rectangle.

If we consider π ≈ 3, then the approximate area of the figure is ...

  (4 cm)(3/2 cm + 6 cm + 2 cm) = (4)(9.5) cm² = 38 cm²

__

The exact value is 4(8+π/2) = 32+2π ≈ 38.283 cm².

Answer:

-3-6y=9

Step-by-step explanation:

Answer:

His sister sent 6 more messages than Diego.

Step-by-step explanation:

Ratio of Diego's messages to his sister's messages = 3 : 4

Text messages sent by Diego = 18

Text messages sent by his sister = x

Ratio = 18 : x

It is a proportional relationship,

3 : 4 :: 18 : x

Product of extremes = Product of means

3x = 18*4

3x = 72

[tex]\frac{3x}{3}=\frac{72}{3}\\x=24[/tex]

Difference = 24 - 18 = 6

Therefore,

His sister sent 6 more messages than Diego.

Answer:

x = 900/ 10 + 3fo

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the

same price, d.

6) Which model represents the situation?

Answer:

adjacent supplementary angles

Step-by-step explanation:

The angles labeled 1 and 2 are adjacent angles which are called a linear pair. their measure add up to 180 deg, so they are adjacent and supplementary angles.

Answer:

the probability that the first card is a queen, the second is a king, and the third is an ace is 0.000482655

Step-by-step explanation:

Given the data in the question;

we know that a deck of cards contains 52 cards

3 cards are dealt out without replacement

probability that first card is queen, the second is king and third is an ace will be;

P(First is a King, second is a Queen, third is an Ace) = [ 4/52 ] × [ 4/51 ] × [4/50]

= 64 / 132,600

=  0.000482655

Therefore,  the probability that the first card is a queen, the second is a king, and the third is an ace is 0.000482655

Answer:

Timothy

Step-by-step explanation:

Timothy because he read 3,876 pages this year.

Answer:(1, -3).

Step-by-step explanation:

If y=2x-5 is equation (1) and 4x-y=7 is equation (2), then substitute equation (1) in equation (2):

4x - (2x - 5) = 7

4x - 2x + 5 = 7

2x = 7-5

2x = 2

x = 1

Now substitute the value of x in equation (1) to find the value of y:

y = 2 (1) - 5

y = 2 - 5

y = -3

.....................

Answer:

40

Step-by-step explanation:

Answer:

I believe that it is false

Answer:

!! solved as -7(2y)= -12(-3x)

x= negative 1.943333

Step-by-step explanation:

Answer:

1.977 miles

Step-by-step explanation:

Focus on how many miles Khaliyah and Eduardo are training.

Khaliyah = 7.100 miles

Eduardo = 5.123 miles

Difference = 7.100 - 5.123 = 1.977