The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function P = 80I I2 + I + 9 where I is the light intensity (measured in thousands of foot-candles). For what light intensity is P a maximum?

Answers

Answer 1

Answer:

At ; I = 3,  P is at maximum

Step-by-step explanation:

P ( I ) = [tex][ \frac{80 I}{I^2 + I + g } ][/tex]

at  I = 3

P" ( I ) < 0

therefore at  I = 3   the value of P( I ) is at maximum

attached below is the detailed solution

The Rate (in Mg Carbon/m3/h) At Which Photosynthesis Takes Place For A Species Of Phytoplankton Is Modeled

Related Questions

simplify this expression 9xy4x 3x3y​

Answers

Answer:

81 x y^5

Step-by-step explanation:

Simplify the following:

9×3×3 x y^4 y

3×3 = 9:

9×9 x y^4 y

9 x y^4×9 y = 9×9 x y^(4 + 1):

9×9 x y^(4 + 1)

4 + 1 = 5:

9×9 x y^5

9×9 = 81:

Answer: 81 x y^5

can you help me with this? 1

Answers

Answer:

I think the correct answer is A

Step-by-step explanation:

becoz an isosceles triangle has both angles equal and also the hypotenuse is the same

the answer for the question is A

answer the question pls xx

Answers

Answer:

3 lines of symmetry

Step-by-step explanation:

the lines go through the vertices of the triangle

Determine If The Triangles Are Similar.If They Are,Choose The Reason Why.

Answers

Answer:

because they all have 3 corners

A parachutist's speed during a free fall reaches 264 feet per second. What is this speed in meters per second? At this speed, how many meters will the parachutist fall during 10 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
Speed:

Distance fallen in 10 seconds:

Answers

Answer:  They will fall 800 meters. And they are falling 80 meters per second.

Step-by-step explanation: You must first take 264 divided by 3.3 which equals 80, then multiply is by 10.

Total distance fallen in 10 seconds is given by the equation A = 800 meter

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the total distance fallen in 10 seconds be represented as A

Now , the value of A is

The parachutist's speed during free fall = 264 feet/second

Now , 1 meter = 3.3 feet

So , 1 feet = ( 1/3.3 ) meter

So , the value of 264 feet = 264 x ( 1/3.3 ) meter

On simplifying the equation , we get

The value of 264 feet/second = 80 meter/second

Now , the distance traveled by the parachutist every second = 80 meter

So , the distance traveled by the parachutist in 10 seconds = 10 x distance traveled by the parachutist every second

Substituting the values in the equation , we get

The distance traveled by the parachutist in 10 seconds A = 10 x 80

On simplifying the equation , we get

The distance traveled by the parachutist in 10 seconds A = 800 meter

Therefore , the value of A is 800 meter

Hence , the total distance is 800 meter

To learn more about speed click :

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which number is irrational number √79 0r √100000

Answers

√79 is an irrational number

6. Which set of ordered pairs represents y as a function of X?

Answers

It’s already circled I’m confused

If anyone plays pokemon go put your code in your answer and I will add you

Answers

that's not why this app is for

Answer:

i don't sorry! my friend does... let me see if i can get their code

Step-by-step explanation:

A school boy agrees with his schoolmaster that he will pay a penny for every sum he gets wrong, if he wins 3 pence for every one he gets right. After doing 20 sums he is 4 dimes down. How many did he get right?

Answers

Answer:

you see he is 4 pens down you see is 3 pence for every one he gets right. after doing 20 sums he is 4 down so 20 dived by is 5 if there is an answer choice for 16 pick 16 if both pick 5 first trust me.

Free cookies Just answer this question! Elena solves the equation x^2=7x by dividing both sides by x to get 7. She says
the solution is 7. Lin solves the equation x^2=7 by rewriting the equation to get
x^2-7=0. When she graphs the equation x^2-7=0, the x-intercepts are (0,0) and
(7,0). She says the solutions are 0 and 7. Why should Elena not divide by x?

Answers

x could be equal to zero, and we can't divide by zero, so we shouldn't divide by x.

Why should Elena not divide by x?

Here we have the quadratic equation:

[tex]x^2 = 7x[/tex]

Notice that we don't know the value of x, so technically, x could be equal to zero, and we can't divide by zero, so we shouldn't divide by x.

The quadratic equation can be rewritten as:

x^2 - 7x = 0

x*(x - 7) = 0

(x - 0)*(x - 7) = 0

So the two solutions are x = 0 and x = 7, because x = 0 is a solution, we see that x can be equal to zero, so we can't divide by x.

If you want to learn more about quadratic equations:

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What is the decimal equivalent of 11/50

Answers

The decimal equivalent would be 0.22 :)

For each representation of a relationship, determine if it is a function or not.
Explain how you know with your answer.
(Giving brainliest to first and correct answer)

Answers

Answer:

e is a function; f is not a function

Step-by-step explanation:

All functions must pass the vertical line test. this means that the when those points are plotted, no two points are on the same vertical line. You can tell if they are on the same vertical line by their x-coordinate. If two points have the same x-coordinate, then they are on the same vertical line. This means that the if two points have the same x-coordinate in the relationship, it is not a function. In e, the x-coordinates are 0, 4, 8, and 3. In f, the x-coordinates are 0, 4, 0, and 6. In e, all the x-coordinates are different, so it is a function. In f, however, 0 is a repeated x-coordinate, so it is not a function.

Help will give a crown AND 83 POINTS

Answers

Answer:

A is correct

Step-by-step explanation:

Select the correct answer from each drop-down menu.
A
m
D
G
F
с
B
FABERE, then line segment
is parallel to line segment
Reset
Next

Answers

Answer:

D-E is parallel to F-G which is parallel to B-C meaning all three are parallel

Step-by-step explanation:

Given that n=N-ab find the value of N when n=6,a=1 and b=2​

Answers

Answer:

N = 8

Step-by-step explanation:

n=N-ab

where n = 6

          a = 1

          b = 2

6 = N - 1(2)

N = 6 + 2

N = 8

Find the value of the integral from 2 to 6 of the natural log of x, dx using four rectangles of equal width, with each right end-point used to find the height of each rectangle.

Answers

Answer: Choice B.

ln(3) + ln(4) + ln(5) + ln(6)

=======================================================

Explanation:

Refer to the diagram below. It shows four rectangles each of base 1. Their height varies depending on the output of the natural log function.

More specifically the heights are ln(3), ln(4), ln(5) and ln(6) from left to right. Note how this corresponds exactly to the points on the y = ln(x) curve such that they are the upper right corners of the Riemann Sum rectangles. These corner points are points A,B,C,D.

Since each base is 1 unit wide, this means each rectangle's area is equal to the height. More thoroughly, we say that

area = base*height = 1*f(x) = f(x), where x takes on the values from {3,4,5,6}

Side note: As the diagram shows, we have an overestimate of the actual area under the curve from x = 2 to x = 5.

HELPPPP PLZZZZ


its ok khan academy

Answers

Answer:

2/3

Step-by-step explanation:

You rise up the y axis 2 times

and

you run/ go across the x axis 3 times

rise/run or y/x

Sasha hasn’t won any of the 40 games she has played with her four friends so far. She wants to win at least 20%. How many does she need to win in a row to get 20%?

Answers

Answer:

10

Step-by-step explanation:

Given that Sasha has won 0 games in the 40 games she has played.

Let she needs to win x game in a row, so

Total game she played = 40 + x

The number of the game she won is x, which is 20% of the total game she played, so

x = 20% of (40+x)

[tex]\Rightarrow x = 0.2(40+x) \\\\\Rightarrow x = 8+0.2x \\\\\Rightarrow x-0.2x=8 \\\\\Rightarrow 0.8x = 8 \\\\\Rightarrow x = 8/0.8=10.[/tex]

Hence, she needs to win 10 games in a row.

A company that makes​ hair-care products had 2,000 people try a new shampoo. Of the 2,000 ​people, 6 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?
*blank* % of the people had a mild allergic reaction.

Answers

Answer:

0.3%

Step-by-step explanation:

Answer:

0.3%

Step-by-step explanation:

Divide 6 by 2000

6/2000 = 0.003

One Way to Solve:

To convert any percentage to a decimal, move the decimal point two spaces back from the percentage

0.003 = 000.3%

Evaluate 6g - 8k when g=4 and k=2.8

Answers

Answer:

Step-by-step explanation:

Putting values in the equation

6g - 8k

6(4) - 8(2.8)

24 - 22.4

= 1.6

Step-by-step explanation:

=6g-8k

=6×4-8×2.8

=24-22.4

=1.6

As I guess

hope it help u.

The graph shows the distance Arlene ran on Saturday preparing for a marathon. What is the rate of change and what does it represent?

Answers

Answer:

Rate of change = 6 miles per hour

Step-by-step explanation:

Rate of change of the line is represented by the slope of the line.

Formula to get the rate of change is,

m = [tex]\frac{\triangle y}{\triangle x}[/tex]

From the graph attached,

Given straight line is passing through two points (2, 12) and (4, 24).

Rate of change = [tex]\frac{y_2-y_2}{x_2-x_1}[/tex]

                          = [tex]\frac{24-12}{4-2}[/tex]

                          = 6

Rate of change of the line = 6 miles per hour

Therefore, rate of change of the graph will define the speed of Arlene.


What is the value of x in the equation:
1/3(x+3)+ 4 = -4+2
/3x

Answers

Answer:

Step-by-step explanation:

[tex]\frac{1}{3} (x+3)+4=-4+\frac{2}{3} x\\multiply~by~3\\x+3+12=-12+2x\\x-2x=-12-3-12\\-x=-27\\or~x=27\\[/tex]

or if it is

[tex]\frac{1}{3} (x+3)+4=-4+\frac{2}{3x}\\ multiply~by~3x\\x(x+3)+12x=-12x+2\\x^2+3x+12x+12x=2\\x^2+27x-2=0\\x=\frac{-27 \pm \sqrt{(27)^2-4*1*-2} }{2*1} \\or~x=\frac{-27 \pm \sqrt{729+8} }{2} \\or~x=\frac{-27 \pm\sqrt{737} }{2}[/tex]

Qual é o oposto de de -3

Answers

Answer:

lo contrario de -3 es positivo tres o 3

How can ΔABC be mapped to ΔXYZ?

First, translate vertex A to vertex
.

Next,
ΔABC to align the sides and angles.

Answers

Answer:

X

Rotate

Step-by-step explanation:

correct on edge 2020

Answer:

a. x

c. rotate

Step-by-step explanation:

edge2021 :)

I NEED HELP ASAP!!!!!!ANY RIGHT ANSWER GETS BRAINLIEST!!!
A bookstore is advertising 25% off all books today. What is the sale price of a book that has a retail price of $18?

a.$13.50
b.$4.50
c.$22.50
d.$16.50

Answers

it’s a
100-25= 75
75 divided by 0.01
0.75 x 18

You are $45 how many cars did you wash

Answers

Perhaps 4 car washes, yeah?

Answer:

Give the full question, then I might be able to solve it.

4s - 13 = 51 SHOW ALL WORK

Answers

Answer:

you have to get rid of the numbers and then get rid of the letters until only s is left

Step-by-step explanation:

4s - 13= 51

51+13= 64

4s= 64

64÷4 = 16

s= 16

SOMEONE HELP!! ASAP ! I’ll give brainliest !!!

I need answers for A B and C! Pls and ty!!

Answers

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

Jaimie earned $80 this week coaching basketball, which is twelve dollars more than twice what she made last week. How much money did Jaimie make last week?

Please Help!!!!

Answers

Answer:

34

Step-by-step explanation:

$80 - 12 is 68, and 68/2 is 34.

Hope this is right and helps!

A builder is building a rectangular deck with dimensions of 16 feet by
30 feet. To ensure that the sides form 90° angles, what should each
diagonal measure?

Answers

Answer:

Each diagonal should measure 34 feet to ensure that the sides form 90°

Step-by-step explanation:

The relation between the diagonal of the rectangle and its length and width is D = [tex]\sqrt{L^{2}+W^{2}}[/tex] ⇒ Pythagoras Theorem

∵ A builder is building a rectangular deck with dimensions of 16 feet

   by  30 feet

L = 16 feet

W = 30 feet

→ By using the Pythagoras Theorem above to find its diagonal

∵ D = [tex]\sqrt{(16)^{2}+(30)^{2}}[/tex]

∴ D = [tex]\sqrt{256+900}[/tex]

∴ D = [tex]\sqrt{1156}[/tex]

D = 34 feet

→ The diagonals of the rectangle are equal

∴ The length of each diagonal of the rectangle = 34 feet

Each diagonal should measure 34 feet to ensure that the sides form 90°

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