It has been estimated that a certain stream can support 85,000 fish if it is pollution-free. It has further been estimated that for each ton of pollutants in the stream, 1700 fewer fish can be supported. Assuming the relationship is linear, write the equation that gives the population of fish p in terms of the tons of pollutants x.

Answers

Answer 1

Answer:

[tex]p = 85000 - 1700x[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Fish = 85000[/tex]

[tex]Rate = 1700[/tex]

Required

Determine the equation

For 1 ton, there is a reduction of 1700 fishes

This implies that:

For x tons, there will be a reduction of 1700x fishes

So, the function is:

[tex]p = Initial\ Fishes - Rate * x[/tex]

We used minus because the number of fishes reduced.

So, we have:

[tex]p = 85000 - 1700*x[/tex]

[tex]p = 85000 - 1700x[/tex]

Hence, the function is: [tex]p = 85000 - 1700x[/tex]


Related Questions

Help I don’t understand a little confusing

Answers

Answer:

40

Step-by-step explanation:

1. 2(l+w)

2. 2(17+3)

3. 2(20)

4. 2*20

solve if x=11. x+44/2x​

Answers

Answer:

substitute 11 into the equation:

[tex]\frac{11+44}{2(11)}[/tex] = [tex]\frac{55}{22}[/tex] or 2.5

Answer:

253

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Step-by-step explanation:

Step 1: Define

x + 44/2x

x = 11

Step 2: Evaluate

Substitute in x:                                                                                                  11 + 44/2(11)[BPEMDAS] Divide:                                                                                         11 + 22(11)[BPEMDAS] Multiply:                                                                                      11 + 242[BPEMDAS] Add:                                                                                               253

Moshde runs a hairstyling business from her house. She charges $45 for a haircut and style. Her monthly expenses are $960. She wants to be able to put at least $1,200 per month into her savings account order to open her own salon. How many “cut & styles” must she do to save at least $1,200 per month?

Answers

Answer:

48 cuts and styles

Step-by-step explanation:

 

Moshde needs to make 48 haircuts and style per month to save $1,200.

Moshde makes $45 per haircut and yet incurs $960 in expenses every month.

She needs to cut enough hair that she makes the $960 in expenses and then a further $1,200 that she can put in savings.

The formula to find out the number of cuts she needs to make is:

= (Monthly expenses + Desired profit) / Profit per cut

= (960 + 1,200) / 45

= 2,160 / 45

= 48 hair cuts and style

In conclusion, Moshde needs to make 48 haircuts per month.

Find out more at https://brainly.com/question/13400675.

what is 3/4 fraction as a mixed number​

Answers

Answer:

0 3/4

Step-by-step explanation:

Answer:

3/4 is a proper fraction

Step-by-step explanation:

it can not be a mixed number

Does the following table represent an exponential decay or growth function?

Answers

Answer:

It shows the growth function I think because the are increasing

Step-by-step explanation:

It is not a exatly

show the working pls :))

Answers

Answer:

$ 78.68

Step-by-step explanation:

The following data were obtained from the question:

Pay >>>>>>>>>> Frequency

40 – 59 >>>>>> 15

60 – 79 >>>>>> 58

80 – 99 >>>>>> 27

100 – 119 >>>>> 22

Mean pay =?

Next, we shall determine the class pay. This can be obtained by adding the pay together and dividing by 2 as shown below:

L => is the lower pay interval

U => is the upper pay interval

Pay >>>>>>>>>> Class pay [(L+U)/2)]

40 – 59 >>>>>> 49.5

60 – 79 >>>>>> 69.5

80 – 99 >>>>>> 89.5

100 – 119 >>>>> 109.5

Thus, the table becomes

Pay >>>>>> Class pay >> Frequency

40 – 59 >> 49.5 >>>>>>> 15

60 – 79 >> 69.5 >>>>>>> 58

80 – 99 >> 89.5 >>>>>>> 27

100 – 119 > 109.5 >>>>>> 22

The mean pay can be obtained as follow:

Summation of class pay and frequency (ΣCF) = (49.5×15) + (69.5×58) + (89.5×27) + (109.5×22)

= 742.5 + 4031 + 2416.5 + 2409

= 9599

Summation of frequency (ΣF) = 15 + 58 + 27 + 22

= 122

Mean pay = ΣCF / ΣF

ΣCF = 9599

ΣF = 122

Mean pay = 9599 / 122

Mean pay = $ 78.68

Therefore, the mean pay is $ 78.68

PLS I NEED HELP! If y varies direct to x and y = 12 and x = 3, then what does x equal when y is 80?

Answers

Answer:

20

Step-by-step explanation:

12 divided by 3 = 4

therefore 80 divided 4 is 20

Answer:

x=10

Step-by-step explanation:

Disposable income is the amount available for spending and saving after taxes have been paid and is one gauge for the state of the economy. Using U.S. Energy Administration data for selected years from 2010 and projected to 2040, the total U.S. disposable income, in billions, can be modeled by D(t) = 10,020e0.02292t where t is the number of years past 2010. In what year is disposable income predicted to be $17 trillion (that is, $17,000 billion)?

Answers

Answer:

The disposable income predicted to be $17 trillion in 2033.

Step-by-step explanation:

The disposable income, in billions, in t years after 2010 is given by the following function>

[tex]D(t) = 10020e^{0.02292t}[/tex]

In what year is disposable income predicted to be $17 trillion (that is, $17,000 billion)?

This is t for which [tex]D(t) = 17000[/tex]. So

[tex]D(t) = 10020e^{0.02292t}[/tex]

[tex]17000 = 10020e^{0.02292t}[/tex]

[tex]e^{0.02292t} = \frac{17000}{10020}[/tex]

[tex]\ln{e^{0.02292t}} = \ln{\frac{17000}{10020}}[/tex]

[tex]0.02292t = \ln{\frac{17000}{10020}}[/tex]

[tex]t = \frac{\ln{\frac{17000}{10020}}}{0.02292}[/tex]

[tex]t = 23[/tex]

2010 + 23 = 2033

The disposable income predicted to be $17 trillion in 2033.

What is the difference? Complete the equation.
-2 1/4 - (-3/4)

Answers

Answer:

-1.5

Step-by-step explanation:

Hair colors are an example of which type of data?

Answers

Answer:

Nominal data are used to label variables without any quantitative value. Common examples include male/female (albeit somewhat outdated), hair color, nationalities, names of people, and so on. In plain English: basically, they're labels (and nominal comes from "name" to help you remember). You have brown hair (or brown eyes).

Solve the Anti derivative.​

Answers

Answer:

[tex]\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C[/tex]

General Formulas and Concepts:

Algebra I

Factoring

Calculus

Antiderivatives - integrals/Integration

Integration Constant C

U-Substitution

Integration Property [Multiplied Constant]:                                                                [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Trig Integration:                                                                                                           [tex]\displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx[/tex]

Step 2: Integrate Pt. 1

[Integral] Factor fraction denominator:                                                         [tex]\displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx[/tex][Integral] Integration Property - Multiplied Constant:                                   [tex]\displaystyle \frac{1}{9} \int {\frac{1}{x^2 + \frac{4}{9}}} \, dx[/tex]

Step 3: Identify Variables

Set up u-substitution for the arctan trig integration.

[tex]\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx[/tex]

Step 4: Integrate Pt. 2

[Integral] Substitute u-du:                                                                               [tex]\displaystyle \frac{1}{9} \int {\frac{1}{u^2 + (\frac{2}{3})^2} \, du[/tex][Integral] Trig Integration:                                                                               [tex]\displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C[/tex][Integral] Simplify:                                                                                           [tex]\displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C[/tex][integral] Multiply:                                                                                           [tex]\displaystyle \frac{1}{6}arctan(\frac{3u}{2}) + C[/tex][Integral] Back-Substitute:                                                                             [tex]\displaystyle \frac{1}{6}arctan(\frac{3x}{2}) + C[/tex]

Topic: AP Calculus AB

Unit: Integrals - Arctrig

Book: College Calculus 10e

What is the absolute value of |-2+4|

Answers

Answer:

2

Step-by-step explanation:

The absolute value of a number is its distance from zero, since distance is always positive, the absolute value is always positive.

| -2 + 4 |

Simplify,

|2|

= 2

b.) -1, 6, -36, ....​

Answers

Answer:
108, -648, 3888
Pattern: multiply by -6

A population of 42 fruit flies has increased
by 150%. What is the total number of fruit
flies after the increase?

Answers

Multiply 42 times 150 percent or 42×1.5 which would be 63

Casper write the algebraic expression 5b + 3.79. I represents the total cost, in dollars, of buying 5 bagels and a container of cream cheese. Identify any variables, coefficients, and termsin the expression.

Answers

Answer:

yes

Step-by-step explanation:

evaluate the given expression for x = -11
-3x-5

Answers

Answer:

28

Step-by-step explanation:

-3(-11)-5

33-5

28

-14x-5 I think.. let me know if it works

If our school has about 300 seventh graders, about how many would be expect to watch 4 to
8 hours of television weekly?
A. 55
B. 116
C. 138
D. 165

Answers

Answer:

55

Step-by-step explanation:

A container has 360 gallons ; daniel took 1/3 of water to give to the animals in the ranch; how many gallons of water are left? I NEED IT TO BE EXPLAINED AND I WILL MAKE YOU THE BRAINLIEST

Answers

Answer: 240 gallons

Step-by-step explanation:

From the question, we are informed that the container has 360 gallons and that Daniel took 1/3 of water to give to the animals in the ranch. Therefore, the amount of water that Daniel took will be:

= 1/3 × 360

= 120 gallons

Since we have 360 gallons at the beginning and Daniel has taken 120 gallons, the amount of gallons that'll be left will be:

= 360 - 120

= 240 gallons

can someone help me find the value of x​

Answers

Answer:

x=52

Step-by-step explanation:

A triangle 3 interior angles add up to 180 so the third angle is 52. Since the two lines are parallel and have a transversal angle x and 52 are alternate interior angles so x=52

The citizens of a city were asked to choose their favorite type of pet. The circle graph shows how the citizens answered. If 95000 citizens answered the question, how many chose Cat?

Answers

Answer:

21% chose cats

Step-by-step explanation:


What decimal does the model represent?
The model below is shaded to represent 2
A 25.6
2.056
2.56
0.256

Answers

Answer:

2.56

Step-by-step explanation:

The answer is 2.56 tyytttttggggg

Solve for the missing side of the triangle

Answers

sin53=x/15

0.798×15=x

x=11.98is your answer

Alejandro was curious if sample median was an unbiased estimator of population median. He placed ping pong balls numbered from 000 to 323232 in a drum and mixed them well. Note that the median of the population is 161616. He then took a random sample of 555 balls and calculated the median of the sample. He replaced the balls and repeated this process for a total of 505050 trials. His results are summarized in the dotplot below, where each dot represents the sample median from a sample of 555 balls. A dot plot for a sample median has a scale from 0 to 30. The number of dots for each is as follows. 0, 0. 1, 0. 2, 0. 3, 0. 4, 1. 5, 1. 6, 2. 7, 1. 8, 0. 9, 1. 10, 5. 11, 3. 12, 2. 13, 4. 14, 1. 15, 3. 16, 4. 17, 4. 18, 1. 19, 2. 20, 4. 21, 2. 22, 0. 23, 1. 24, 2. 25, 1. 26, 1. 27, 0. 28, 2. 29, 2. 30, 0. Based on these results, does sample median appear to be a biased or unbiased estimator of population median

Answers

Answer:

Sample median appears to be an unbiased estimator of the population median

Step-by-step explanation:

The sample median appears to be centered near 16

The required sample median appears to be an unbiased estimator of the population median

What are dot plots?

A dot plot defined as a collection of plots or dot diagrams is a simple form of data illustration that consists of data points plotted in the form of dots on a graph with axes.

Here,
He placed ping pong balls numbered from 0 to 32 in a drum and mixed them well.

The median of the population is 16. So the sample median appears to be centered near the 16. He replaced the balls and repeated this process for a total of 50 trials.

When plotting the dot plot of the given system, it is summarised that the sample median appears to be an unbiased estimator of the population median.

Learn more about dot plots here:
https://brainly.com/question/29231735
#SPJ5  

URGENT URGENT!!!!! PLEASE HELP

Answers

Answer:

2x+3y=T

Step-by-step explanation:

t= total

the total number of points  depending on how many 3 points are shot makes up the score.

If I have 8 cans of soup and I gave 1/2 to sue and 1/4 to mark how many do I have left

Answers

Answer:

6 1/2 (a.k.a 6.5)

1/4 = 2/2 + 1/2 = 3/2 = 1 1/2

8 - 1 1/2 = 6 1/2

f(x)=2x+1
g(x)=x-5
calculate f(g(x))

Answers

Answer:

2x-9

Step-by-step explanation:

substitute g into f

2(x-5)+1

2x-10+1

2x-9

The product of-9/4 with another number is 7/3.what is the other number

Answers

Answer:

Step-by-step explanation:

(-9/4)x = 7/3

x = (7/3) · (-4/9) = -28/27

The tape diagram a way to model 5/8x11

Answers

Answer:

55/8

Step-by-step explanation:

here u gooo good luck

A set of 6 number cards contains the numbers 2,5,7,8,9, and 11. Which ratio of odd number cards to total cards in the set?

Answers

the ratio would be 4:6 because there are 6 number in total and 4 of them are odd numbers.

What’s 720 x 0.1? Please answer

Answers

Answer:

72

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

720 x 0.1 would be 72 because the 0 doesnt show when you times it. your welcome lol.

Other Questions
Before a painting"" How does the sonnet structure of this poem contribute to the overall meaning what's 2+2 Do you watch all American if so tell me who's your favorite character Learning Task 3: In your answer sheet, write the letter of the correct answe1. Which is a polynomial function?Plx) = 2x3 + 32 - 4x + 4c. c. G(x) = 2x-3 +5B. H2) = 4x1/2 - 3x 4D. F lrl = 2x3-5x + 33x2 guys please help me! i really need it! it is chemistry. but I labeled it as math bc I never get help on it :( what does this imagine represent? EASY POINTS: i just need help what to write aboutExplain why you either agree or disagree with being honest at all times. Use specific details and examples to convince others to support your position.*what should my first 2 paragraphs be about*?THANKS Which number best represents the slope of the graphed line? 4 x - 11 = 12 =____ Graph the line 3y+x=3 How many moles are there in 1.27 x 10^24 atoms of potassium Last season Sarah was up to bat 48 times,and got 16 hits.what is the simplified ratio of Sara's hits to Sara's hits to Sara's at-bats A company is producing christmas light strings containing 20 small bulbs. Suppose the success or failure of a bulb is independent of the success or failure of other bulbs and the probability that a bulb is lightning properly is 0.92. a. When you order a christmas light string, what is the probability of at most 3 of those small bulbs are not lightning properly. b. Find the mean and the variance of bulbs in a string that are not lightning properly. Describe person a room in a house that belongs to an old person Help me I will mark brainliest .... A box is filled with 9 brown cards, 2 yellow cards, and 3 blue cards. A card is chosen at random from the box. What is the probability that it is a brown or a bluecard? Fred's lightbulb is 45% efficient, and Fran's is 75% efficient. If they both use the same amount of electric energy, which produces more light energy? Learning Task 3A. Write each sentence as:(a) Conditional Statement(c) Inverse Statement(b) Converse Statement(d) Contrapositive Statement1. Vegetables are good for your health.2. 3x + 8 = 14, x = 23. A right triangle has a 90 angle.4. An eagle is a bird.5. A whale is a mammal.6. Two circle with equal diameters are congruent.7. An angle that measures between 90 and 180 degrees is obtuse angle.8. Two planes with no common point are parallel.9. Carrot is rich in Vitamin A.10. All reptiles have scales.B. Determine which statements in A both the conditional and conversestatements are true. Write it in biconditional statement.IF WHO ANSWER THIS CORRECTLY I WILL TRANSFER MY 500+POINTS TO HER/HIM AND BRAINLIEST ANSWER don't try to answer rude i will bann it Take a look at picture. write 10 sentences about my home in arabic . simplify 2^4 (2^3+2^2) pleaseOptionsA) 4B) 6C) 12D) 28