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ki77a [65]
3 years ago
10

Phytoremediation is the use of plant growth to purify pollutants from soil, water, or air. Suppose that a crop of brake ferns ca

n remove 15 milligrams(mg) per square meter of a particular pollutant from the soil in 20 weeks. After 20 weeks, the ferns are harvested and a new crop is planted. If c represents the number of crops of brake ferns needed to phytoremediate soil contaminated with170 mg per square meter of the pollutant down to healthy levels of 5 mg per square meter, which equation best models the situation?
A) 170 - 20c = 5
B) 170 + 20c = 5
C) 170 - 15c = 5
D) 170 + 15c = 5
Mathematics
1 answer:
lord [1]3 years ago
4 0
One crop of brake ferns can reduce the pollutant concentration by 15 mg/m^2, so the equation must contain the number 15 multiplied by c, the number of crops of brake ferns.

Since the brake ferns reduce concentration, the sign must be -15c.

The only choice that fits this is Choice C) 170 - 15c = 5
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Find the solutions to the equation by completing the square. x2-6x=7
lianna [129]

Subtract 7 from both sides

x^2 - 6x - 7 = 7 - 7

Simplify

x^2 - 6x - 7 = 0


Answer :

The final solutions to the quadratic equation are:

x = 7, -1
3 0
2 years ago
Suppose that replacement times for washing machines are normally distributed with a mean of 9.3 years and a standard deviation o
Harlamova29_29 [7]

Answer:

The probability is 0.0643

Step-by-step explanation:

* Lets revise some definition to solve the problem

- The standard deviation of the distribution of sample means is called σM

- σM = σ/√n , where σ is the standard deviation and n is the sample size

- z-score = (M - μ)/σM, where M is the mean of the sample , μ is the mean

 of the population  

* Lets solve the problem

- The mean of the washing machine is 9.3 years

∴ μ = 9.3

- The standard deviation is 1.1 years

∴ σ = 1.1

- There are 70 washing machines randomly selected

∴ n = 70

- The mean replacement time less than 9.1 years

∴ M = 9.1

- Lets calculate z-score

∵ σM = σ/√n

∴ σM = 1.1/√70 = 0.1315

∵ z-score = (M - μ)/σM

∴ z-score = (9.1 - 9.3)/0.1315 = - 1.5209

- Use the normal distribution table of z to find P(z < -1.5209)

∴ P(z < -1.5209) = 0.06426

∵ P(M < 9.1) = P(z < -1.5209)

∴ P(M < 9.1) = 0.0643

* The probability is 0.0643

5 0
3 years ago
Help ASAP!!! 3/8 of the seventh grade students were taking Advanced math at the beginning of the year, but Seven dropped out by
Rashid [163]

Answer:

There are 392 students in the seventh grade.

Step-by-step explanation:

Let us assume that there are x number of students in the seventh grade.

Now, 3/8 of the seventh grade students were taking Advanced math at the beginning of the year, but seven dropped out by the end of the year.

So, after the end of the year there were (\frac{3}{8}x - 7) number of students taking advanced math.

So, as per given condition, (\frac{3}{8}x - 7) = 140

⇒ \frac{3}{8}x = 147

⇒ x = 392

Therefore, there are 392 students in the seventh grade. (Answer)

8 0
2 years ago
What is this !?help please!​
vfiekz [6]
Triangle A: Right
Triangle B: I think it’s Obtuse

Sorry if it’s wrong
6 0
2 years ago
Read 2 more answers
Consider the following system of equations:
Umnica [9.8K]
X=3 and the work to get the answer is attached.

4 0
3 years ago
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