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liraira [26]
3 years ago
15

3/4(3z+6) - 1/4(5z - 24)

Mathematics
1 answer:
puteri [66]3 years ago
6 0
That would be 0.5(2z+21)
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I need this today ASAP!!!!<br><br>-4 1/2 + 1/3
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The answer of this expression is - 4 1/6

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The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate
Veronika [31]

It takes 8.35 hours for the size of the sample to double

Step-by-step explanation:

The form of the continuous exponential growth model is

A=Pe^{rt} , where

  • A is the new value
  • P is the initial value
  • r is the rate of growth or decay  in decimal
  • t is the time

∵ The growth rate is 8.3%

∴ r = 8.3 ÷ 100 = 0.083

∵ The size of the sample will doubled in t hours

∴ A = 2 P

Use the formula of the contentious exponential growth above

∵ 2P=Pe^{0.083t}

- Divide both sides by P

∴ 2=e^{0.083t}

- Insert ㏑ in both sides

∴ ln(2)=ln(e^{0.083t})

- Remember ln(e^{n})=n because ㏑(e) = 1

∴ ln(2)=0.083t

- Divide both sides by 0.083

∴ \frac{ln(2)}{0.083}=t

∴ t = 8.35 hours to the nearest hundredth

It takes 8.35 hours for the size of the sample to double

Learn more:

You can learn more about the logarithmic function in brainly.com/question/1447265

#LearnwithBrainly

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4 years ago
Which statement represents the biconditional statement of the conditional statements?
noname [10]

The measures of two angles have a sum of 180º if and only if the angles are supplements. This statement is true.

A biconditional statement has 2 parts : a conditional statement that states "If hypothesis, then conclusion" and a converse statement which states " If conclusion, then hypothesis" . When both these parts are true, then it is called a biconditional statement.

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3 years ago
Thomas poured 2 1/5 kg of blueberries in a bowl with 2 2/5 kg of strawberries. How many kilograms of berries does Thomas have in
Iteru [2.4K]
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(-2x²y)³ / (xy²z)² * (-yz)² Hello guys, im having trouble with this babe...
Masja [62]
\frac{(-2x^2y)^3}{(xy^2z)^2(-yz)^2}

On top: (-2)³ = -2 × -2 × -2 = -8
(x²)³ = x^6 (the exponents multiply)
and of course, (y)³ = y³

On the bottom: (xy²z)² = x² y^4 z²
(-yz)² = y²z²
Multiplying these together, the exponents add and we get x² y^6 z^4.

\frac{-8x^6y^3}{x^2y^6z^4}

So, your reasoning is correct for what you have so far.

Your next step would be cancelling shared factors from the top and bottom.
Just like with regular fractions, if the numerator and denominator are divisible by the same number, you can divide them by it to simplify. (ex: 4/6 = 2/3)

Well, x^6 and x^2 are both divisible by x^2, right?
We can also cancel the y^3.

It might help to visualise the factors like this:

\frac{-8xxxxxxyyy}{xxyyyyyyzzzz}

Once you've cancelled out x² and y³ from each, you're left with

\boxed{\frac{-8x^4}{y^3z^4}}
7 0
4 years ago
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