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3 years ago

What is the solution of log2x + 6 8 = 3? (6 points)

Mathematics

1 answer:

photoshop1234 [79]3 years ago

4 0

Step-by-step explanation:

$log(2x) + 68 = 3 \\ log(2) + log(x) + 68 = 3 \\ log(x) = - 65.30103 \\ x = {10}^{ - 65.30103} = \\ x = 5 \times {10}^{ - 66}$

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A rectangle has an area of 72 swaure units. The width of the rectangle is 9 units. The length of the rectangle is 2x + 4. What i

vichka [17]

Answer:

8 units

Step-by-step explanation:

Area of a rectangle = Width multiplied by Length

Substitute in all the known numbers into this formula to get

72 = (9) × $(2x+4)$

Solve the equation for x, to find out the length

$9(2x+4)=72$

$2x+4=72/9$

$2x+4=8$

$2x=8-4$

$2x=4$

$x=4/2$

$x=2$

Length of the rectangle = $(2x+4)$

$2(2)+4$

$4+4=8$

5 0

3 years ago

Gabe Amodeo, a nuclear physicist, needs 60 liters of a 60% acid solution. He currently has a 50% solution and a 70% solution.

FromTheMoon [43]

Answer:

Gabe needs 20 liters of the 40% solution.

He also needs 40 liters of the 70% solution.

Step-by-step explanation:

Equation:

acid + acid = acid

0.40x + 0.70(60-x) = 0.60*60

40x + 70*60 - 70x = 60*60

-30x = -10*60

x = 20 liters

Gabe needs 20 liters of the 40% solution.

He also needs 40 liters of the 70% solution.

6 0

3 years ago

The equation of this line is

fomenos

Answer:

y= x + 3

Step-by-step explanation:

I have the same question and that was the correct answer

6 0

2 years ago

What is the exsponet of 64/81 = 8/9

Mumz [18]

(8/9)^2 is 64/81. Exponent is 2. Hope this help

4 0

2 years ago

How do you factor 5x^2b^2 + 14xb^2 -3b^2

Monica [59]

Answer:

$5b^2(x-0.2)(x+3)$

Step-by-step explanation:

The first thing that I noticed was that all of the terms had a common factor of $b^2$ . You can therefore factor that out first:

$5x^2b^2 + 14xb^2 -3b^2= \\\\b^2(5x^2+14x-3)$

Now, you have a quadratic equation inside the parentheses. Factoring, you find that the roots are -0.2 and 3, meaning that you can further factor this expression to be:

$5b^2(x-0.2)(x+3)$

Hope this helps!

3 0

3 years ago