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emmainna [20.7K]
3 years ago
9

Let p: The number is even.

Mathematics
1 answer:
Gemiola [76]3 years ago
8 0

<u>Answer:</u>

The statement represented by p ∧ q is number is even and prime. Hence statement 1 is correct

<u>Solution:</u>

Given that  

p means number is even  

q Means number is prime.

We need to find meaning of p ∧ q

lets see what is meaning of symbol  ∧.

∧ is a conjunction symbol which joins two statement with and operator.

In our case two statements are p means number is even and q means number is prime.

So p ∧ q means p and q means number is even and number is prime. that is number is even and prime.

Hence first statement in the given option that is number is even and prime is represented by p ∧ q.

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Use the remainder theorem to divide 5x^2+9x-2 by x+3. What is the remainder
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Answer:

16

Step-by-step explanation:

Given

f(x)=5x^2+9x-2

Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).

Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:

f(x)=5x^2+9x-2

f(-3) = 5(-3)^2 +9(-3) -2

       =5(9) - 27 -2

       = 45-29

        = 16 !

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Step-by-step explanation:

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ABCD is a parallelogram. If ad = 2x + 10 and CD = 4x - 20, for what value of x will abcd be a rhombus
dimaraw [331]

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Step-by-step explanation:

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2x+10=4x-20 \\ \\ 10=2x-20 \\ \\ 2x=30 \\ \\ x=15

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9 months ago
Translate the following phrase into an algebraic expression. Do not simplify. Use the variable names "x" or "y" to describe the
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Answer:

this would be 4x

Step-by-step explanation:

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3 years ago
A rectangular tank is 24 cm wide, and 30 cm long. It contains a stone and is filled with water to a height of 8 cm. When Amy pul
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Answer:

Formula for volume = length (L) × width (W) × height (H)

Volume of the stone = 1,440 cm³

Step-by-step explanation:

✔️Formula for the rectangular tank = L*W*H

✔️Volume of the stone = volume of the tank with the stone - volume of the tank without the stone

✔️Volume of the tank with the stone:

L = 30 cm, W = 24 cm, H = 8 cm (height of water when the stone was in the tank)

Volume of the tank with the stone = 30*24*8 = 5,760 cm³

✔️Volume of the tank without the stone:

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✅Volume of the stone = 5,760 - 4,320 = 1,440 cm³

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