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3 years ago

Solve x (give answer as fractions or integers). 2^x =1/2

Mathematics

1 answer:

Rudik [331]3 years ago

7 0

Answer:

x = -1

Step-by-step explanation:

When an exponent is negative, you have to move it to the denominator (or to the numerator if it's already on the denominator). Since the answer is $\frac{1}{2}$ , you know that the 2 has been raised to the power of 1 (any number to the power of 1 is the same number), so you just make it negative. Hope that helps!

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In the lab, Austin has two solutions that contain alcohol and is mixing them with each other. He uses 3 times as much Solution A

JulijaS [17]

Austin uses 435.714 milliliters of solution B to get a resulting mixture that has 244 milliliters of pure alcohol.

Step-by-step explanation:

Step 1; Assume solution B has 1x ml of liquid in it. As solution A has three times that of solution B, it has 3x ml of liquid.

Step 2; In solution A there is 12% of alcohol and solution B has 20% alcohol. So alcohol content in solution A is 12% of 3x = 0.12 x 3x and the alcohol content in solution B is 20% of x= 0.20 x 1x.

Step 3; Use this formula

$Concentration percent= \frac{(volume of solute)}{(volume of solution)} * 100$

here Volume of solute is the total of solution A and B= (0.12 x 3x) + (0.20 x 1x) which equals 0.56x. The volume of solution is 3x + 1x which equals 4x. Substituting numerator and denominators we get a volume of 14%.

Step 4;This 14% is the concentration of alcohol in the mixture of solution A and solution B which is given as 244 ml. If 14% is 244 ml then 100% equals 1742.857 milliliters. The total of solution A and B equal 4x which is 1742.857 milliliters. So we get solution A has 1307.1428 milliliters and solution B has 435.71428 milliliters of liquid.

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3 years ago

The five-number summary for the number of accounts managed by each sales manager at Force Inc. is shown in the following table.

Alexeev081 [22]

Answer:

Step-by-step explanation:

Min = 35

Q1 = 45

Median = 50

Q3 = 65

Max = 85

The median is the middle of the distribution; 50% is below the median and 50% is above.

The median is 50, so about 50% of sales managers manage fewer than 50 accounts.

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3 years ago

Which of the following number sentences is an example of the identity property? Select all that apply.

ArbitrLikvidat [17]

I think one is 8.7 + 0 = 8.7

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3 years ago

How many timnes does 43 go into 93

Charra [1.4K]

43 can fit into 93 two whole times.

After that, there's only room for another 7 inside the 93,
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8 0

3 years ago

Read 2 more answers

I need help with this question

Sonbull [250]

= 4 (6) - 4 (√2) + √2 (6) - √2 <span>√2
</span>= 24 - 4√2 + 6√2 - 2
= (24 - 2) + (- 4√2 + 6√2)
= 22 + √2(- 4 + 6)
= 22 + √2 (2)
= 22 + 2√2

hope it helps

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3 years ago

Solve x (give answer as fractions or integers). 2^x =1/2​

Solve x (give answer as fractions or integers). 2^x =1/2