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Minchanka [31]
2 years ago
7

Helpppppp asapppppopoo

Mathematics
1 answer:
wlad13 [49]2 years ago
4 0
Answer: Choice A

Raising something to the 1/4th power is the same as applying the 4th root to that expression. Raising an expression to the 1/n power is the same as applying the nth root.

Rule:
x^{1/n} = \sqrt[n]{x}
(if the text is too small it basically says x to the (1/n) = square root with a small 'n' all over x)
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The half-life of the isotope Osmium-183 is 12 hours. Choose the equation below that gives the remaining mass of Osmium-183 in gr
raketka [301]

The given equations are incomprehensible, I'm afraid...

You're given that osmium-183 has a half-life of 12 hours, so for some initial mass <em>M</em>₀, the mass after 12 hours is half that:

1/2 <em>M</em>₀ = <em>M</em>₀ exp(12<em>k</em>)

for some decay constant <em>k</em>. Solve for this <em>k</em> :

1/2 = exp(12<em>k</em>)

ln(1/2) = 12<em>k</em>

<em>k</em> = 1/12 ln(1/2) = - ln(2)/12

Now for some starting mass <em>M</em>₀, the mass <em>M</em> remaining after time <em>t</em> is given by

<em>M</em> = <em>M</em>₀ exp(<em>kt </em>)

So if <em>M</em>₀ = 590 g and <em>t</em> = 36 h, plugging these into the equation with the previously determined value of <em>k</em> gives

<em>M</em> = 590 exp(36<em>k</em>) = 73.75

so 73.75 ≈ 74 g of Os-183 are left.

Alternatively, notice that the given time period of 36 hours is simply 3 times the half-life of 12 hours, so 1/2³ = 1/8 of the starting amount of Os-183 is left:

590/8 = 73.75 ≈ 74

6 0
3 years ago
HELP PLEASE :/ math is not my bff
gtnhenbr [62]
1. None of the answer choices are correct, because the length that were to go with those numbers don't fit. The answer is D.

2. One coffee cost $4 and a latte would cost $2.50, because the other prices for a cup of coffee would exceed the price of the total of two coffees plus one latte and three coffees plus two lattes. The answer is A: $4.00.

3. This one has to be A, because you're finding how many nickels and dimes there are together if there are 24 coins. A nickel is 5 cents each and a dime is 10 cents each. The total of them combined is $1.85. The answer is A.
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2 years ago
Simplify. 1/4(3x−7)+3/4x
Setler [38]

Answer:

6/4x + -7/4 also know as 1 2/4x - 1 3/4 which simplified even further is

1 1/2x - 1 3/4

Use the distributive property to multiply  1/4  by 3x−7.

Multiply 1/4 and 3 to get 3/4

Multiply 1/4  and −7 to get  -7/4

Combine 3/4x and 3/4x to get 6/4x or 3/2x.

6 0
2 years ago
Read 2 more answers
On number line below, length AB =? A16 B45
melisa1 [442]

Answer:29

Step-by-step explanation:

d[AB]=|45-16|=29

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2 years ago
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insens350 [35]

Answer:

<u>The Answer is A</u>

Step-by-step explanation:

The y-intercept is where the line starts (on the quadrant)

In this<em> graph, the line starts at 8, and y is how much money the object is</em>.

Therefore, the answer is A. The beginning price of the candy is $8.

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