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3 years ago

If 2^2x = 2^3, what is the value of x?

Mathematics

1 answer:

Advocard [28]3 years ago

6 0

Answer:

x=3/2

Step-by-step explanation:

2^2x=2^3

2x=3

x=3/2

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3 years ago

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Find the real solutions of the equation by graphing. x^2 + 2x + 2 = 0

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Cards labeled 5, 6, 7, 8, and 9 are in a stack. A card is drawn and not replaced. Then, a second card is drawn at random. Find t

Rom4ik [11]

Answer:

1/10

Step-by-step explanation:

the probability of your first pick was 1/5, if not retured=ned, the probability of you getting an even number next will then be 2/4. (1/5)(2/4)=1/10

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3 years ago

Use synthetic division to find the quotient and the remainder for the problem: (12x^4 + 5^3 + 3x^2 - 5)/(x+1)?,

s344n2d4d5 [400]

Step 1 : Setting up the problem

Write the coefficients of the dividend in the same order. For missing terms, enter the co-efficient as zero. Set the divisor equal to zero and use that number in the division box.

The problem now looks as follows:

-1 | 12 5 3 0 -5

Step 2 : Bring down the first co-efficient and write it in the bottom row.

-1 | 12 5 3 0 -5
______________________ 12

Step 3 : Multiply the first coefficient with the divisor and enter the value below
the next co-efficient. Add the two and write the value in the bottom row.

-1 | 12 5 3 0 -5
_____-12_______________ 12 -7

Step 4 : Repeat Step 3 for rest of the coefficients as well:

-1 | 12 5 3 0 -5
____________7 ___________ 12 -7 10

-1 | 12 5 3 0 -5 ______________ -10______ 12 -7 10 -10
-1 | 12 5 3 0 -5 ____________________ 10_ 12 -7 10 -10 5
The last row now represents the quotient coefficients and the remainder. Co-efficients of Quotient are written one power less than their original power and the remainder is written as a fraction.

Answer :12x^3-7x^2+10x-10+5/(x+1) where the last term denotes the remainder and the rest is the quotient.

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3 years ago

The perpendicular room is 4m long, 3m wide and 2.5m high. They tiled and painted the interior walls of the room. Find the amount

aivan3 [116]

Answer:

7 coats (cups) of paint

Step-by-step explanation:

The dimensions of the room are;

The length of the room, l = 4 m

The width of the room, w = 3 m

The height of the room h = 2.5 m

The area one coat (taking the coat to mean cup) of paint can paint, A/c = 5 m²/cup

The total surface area of the room wall, A = 2 × l × h + 2 × w × h

∴ A = 2 × 4 m × 2.5 m + 2 × 3 m × 2.5 m = 35 m²

The amount of paint to be used, c = A/(A/c)

∴ c = 35 m²/(5 m²/cup) = 7 cups

The amount of paint to be used, c = 7 cups

7 0

3 years ago