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Alona [7]
3 years ago
13

Consider the following argument: If pigs have wings, then pigs can fly. If pigs are lighter than air, then pigs can fly. Pigs ha

ve wings or pigs are lighter than air. If pigs have wings or pigs can fly, then pigs don’t have wings. Therefore, donkeys can fly.
(a) Write this argument in symbolic form, using the variables listed below.

Pigs can fly p

Pigs are lighter than air q

Pigs have wings r

Donkeys can fly s

(b) Determine whether the argument is valid or not. Show your working.
Mathematics
1 answer:
Darina [25.2K]3 years ago
3 0

Answer:

a ) If r ⇒ p

    If q ⇒ p

    r ∪ q

    If r∪p ⇒ ¬ r

   ∴ s

b) The argument is invalid

Step-by-step explanation:

The argument is invalid because we do not with precision if b), because we do not have enough information about it, and this is because the previous sentences does not mention information about the donkey. We cannot infer something when we do not have enough information.

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A credit union client deposits $3,300 in an account earning 6.5% interest, compounded annually. What will the balance of the acc
astra-53 [7]

Answer:

The balance of account at the end of 36 years is $31,849.29

Step-by-step explanation:

We are given the following in the question:

P = $3,300

r = 6.5% = 0.065

t = 36 years

The compound interest is given by:

A = p\bigg(1+\dfrac{r}{n}\bigg)^{nt}

where A is the amount, p is the principal, r is the interest rate, t is the time in years and n is the nature of compound interest.

Since interest is compounded annualy we use n = 1

A = 3300\bigg(1+\dfrac{0.065}{1}\bigg)^{36}\\\\A = \$31,849.29

Thus, balance of account at the end of 36 years is $31,849.29

6 0
3 years ago
The formula to find the surface area of a cube is 6s to the power of 2, where s stands for the side length of the cube. What is
gladu [14]
The surface area of the cube is 600cm^2.

6(10^2)
6(100)
600
3 0
3 years ago
17) Find the opposite.
madreJ [45]
The opposite of 41 is -41
3 0
3 years ago
1.Find the area of a trapezium with parallel sides of
Nana76 [90]

Answer:

The area of the trapezium is 74.8\ cm^2

Step-by-step explanation:

Area of a trapezium:

\displaystyle A=\frac{b1+b2}{2}h

This formula is valid if b1 and b2 are parallel and h is perpendicular to both.

Since the trapezium given in the problem satisfies those conditions, we use the formula with:

b1=15 cm

b2=7 cm

h=6.8 cm

\displaystyle A=\frac{15+7}{2}\cdot 6.8

A=74.8\ cm^2

The area of the trapezium is 74.8\ cm^2

6 0
3 years ago
Jada solved the equation Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction for x using the step
GalinKa [24]

Answer:

Jada should have multiplied both sides of the equation by 108.

Step-by-step explanation:

The question is incomplete. Find the complete question in the comment section.

Given the equation -4/9 = x/108, in order to determine Jada's error, we need to solve in our own way as shown:

Step 1: Multiply both sides of the equation by -9/4 as shown:

-4/9 × -9/4 = x/108 × -9/4

-36/-36 = -9x/432

1 = -9x/432

1 = -x/48

Cross multiplying

48 = -x

x = -48

It can also be solved like this:

Given -4/9 = x/108

Multiply both sides by 108 to have:

-4/9 * 108 = x/108 * 108

-4/9 * 108 = 108x/108

-432/9 = x

x = -48

Jada should have simply follow the second calculation by multiplying both sides of the equation by 108 as shown.

7 0
3 years ago
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