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uranmaximum [27]
3 years ago
12

SOMEONE HELP ME ASAP. THIS IS A QUESTION ON MY PLATO FOR ALGEBRA 2 Type the correct answer in the box. Tiffany is monitoring the

decay of two radioactive compounds in test tubes at her lab. Compound A is continuously decaying at a rate of 12% and compound B is continuously decaying at a rate of 18%. Tiffany started with 30 grams of compound A and 40 grams of compound B. Create a system of inequalities that can be used to determine when both compounds will be less than or equal to the same mass, M, where t is time, in weeks, PA is the initial amount of compound A, PB is the initial amount of compound B, and r is the rate of decay. Enter the inequalities in the field by replacing the values of PA, PA, and r.
Mathematics
1 answer:
puteri [66]3 years ago
8 0

Answer:

From Plato

30e-0.12t less than or equal to M

40e-0.18t less than or equal to M

Step-by-step explanation:

It is given that compound A decays at a rate of 12% per week, and compound B decays at a rate of 18% per week. Since the rates represent decay, the r-value is negative. A decay rate of 12% is represented by an r-value of -0.12, and a decay rate of 18% is represented by an r-value of -0.18.

The initial amount of compound A is 30 grams and the initial amount of compound B is 40 grams. Substitute the initial amounts of each compound and their respective decay rates into the system of inequalities.

The following system of inequalities can be used to determine when the remaining mass of the two compounds, M, will be the same, after t weeks.

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Translate this sentence into a multi-step equation Six more than the quotient of a number and 8 is equal to 2.
Korvikt [17]

Answer:

6+n/8=2

Step-by-step explanation:

* More Than = (+) or in some cases (>)

* Quotient of a (#) = Any letter that represents a number, so in this case "n", because we do not know that number yet. We divide this with "8" because it says "and 8".

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5 0
2 years ago
F(x)=x2. What is g(x)?
mixas84 [53]

Answer:

A and B

Step-by-step explanation:

1/4x^2 = (1/2x)^2

6 0
3 years ago
Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14
denis-greek [22]

Answer:

Option (c) is correct.

68% of the data points lie between 10 and 18.

Step-by-step explanation:

Given :  a normal distribution with a standard deviation of 4 and a mean of 14

We have to choose the  sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.

Since, given 68% data.

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And standard deviation is distribute equally about the mean that is 50% of values less than the mean  and 50% greater than the mean.

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4 0
3 years ago
Factor 64x^2-25y^2<br><br> enter your answer in the box
OLEGan [10]

Answer:

(8x - 5y)(8x + 5y)

Step-by-step explanation:

To factor the expression, use the difference of squares pattern. A difference of squares is subtraction between two perfect squares and factors as a² - b² = (a-b)(a+b).

The expression has the perfect squares 64x² and 25y². Take the square root of each. The factors become (8x - 5y)(8x + 5y).

3 0
3 years ago
I need help solving this ​
ozzi

Answer:

I have tried my best.

Hope this will help you.

Explanation is given in the above photo.

4 0
2 years ago
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