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3 years ago

5р + 3р + (-9) ? A. 8p+9 B. 3(p+(-3))+5p C. None of the above ...

Mathematics

1 answer:

kvv77 [185]3 years ago

3 0

Answer:

none of the above

Step-by-step explanation:

because 5p + 3p = 8p and positive integers × negative integers = negative integers.

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Dmitry_Shevchenko [17]

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3 years ago

Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 7 liters of natural oil for every 4 liters of

Kaylis [27]

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3 years ago

Let R be the relation on the set of ordered pairs of positive integers such that ((a, b), (c, d)) ∈ R if and only if ad = bc. Ar

Veseljchak [2.6K]

Answer:

The given relation R is equivalence relation.

Step-by-step explanation:

Given that:

$((a, b), (c, d))\in R$

Where $R$ is the relation on the set of ordered pairs of positive integers.

To prove, a relation R to be equivalence relation we need to prove that the relation is reflexive, symmetric and transitive.

1. First of all, let us check reflexive property:

Reflexive property means:

$\forall a \in A \Rightarrow (a,a) \in R$

Here we need to prove:

$\forall (a, b) \in A \Rightarrow ((a,b), (a,b)) \in R$

As per the given relation:

$((a,b), (a,b) ) \Rightarrow ab =ab$ which is true.

$\therefore$ R is reflexive.

2. Now, let us check symmetric property:

Symmetric property means:

$\forall \{a,b\} \in A\ if\ (a,b) \in R \Rightarrow (b,a) \in R$

Here we need to prove:

$\forall {(a, b),(c,d)} \in A \ if\ ((a,b),(c,d)) \in R \Rightarrow ((c,d),(a,b)) \in R$

As per the given relation:

$((a,b),(c,d)) \in R$ means $ad = bc$

$((c,d),(a,b)) \in R$ means $cb = da\ or\ ad =bc$

Hence true.

$\therefore$ R is symmetric.

3. R to be transitive, we need to prove:

$if ((a,b),(c,d)),((c,d),(e,f)) \in R \Rightarrow ((a,b),(e,f)) \in R$

$((a,b),(c,d)) \in R$ means $ad = cb$ .... (1)

$((c,d), (e,f)) \in R$ means $fc = ed$ ...... (2)

To prove:

To be $((a,b), (e,f)) \in R$ we need to prove: $fa = be$

Multiply (1) with (2):

$adcf = bcde\\\Rightarrow fa = be$

So, R is transitive as well.

Hence proved that R is an equivalence relation.

8 0

3 years ago

Find the volume of this prism:<br> 5 cm<br> 4 cm<br> 6 cm

nexus9112 [7]

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm. The area A of a rectangle with length l and width w is A=lw EXAMPLE

put that into a formula.... and boom solved just comment on this for the answer

6 0

3 years ago

A high school baseball player has a 0.215 batting average. In one game, he gets 7 at bats. What is the probability he will get a

masya89 [10]

Answer:

0.651%

Step-by-step explanation:

using Binomial expansion: nCr*p^n*(1-p)^(n-r)

probability he will get at least 5 hits in the game = probability he will get 5 hits in the game + probability he will get 6 hits in the game + probability he will get 7 hits in the game = 7C5*0.215^5*(1-0.215)^2 + 7C6*0.215^6*(1-0.215)^1 +7C7*0.215^7*(1-0.215)^0 = 21* 0.0004594*0.616225 + 7*0.00009877*0.785 + 1*0.000021235 = 0.00651 = 0.651%

7 0

3 years ago

5р + 3р + (-9) ? A. 8p+9 B. 3(p+(-3))+5p C. None of the above ...​

5р + 3р + (-9) ? A. 8p+9 B. 3(p+(-3))+5p C. None of the above ...