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?

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

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°

Answer:

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

Step-by-step explanation:

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

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.

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

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.

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.

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.

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

https://brainly.com/question/1214333

#SPJ1

Answer:

lo contrario de -3 es positivo tres o 3

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%

Answer:

34

Step-by-step explanation:

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

Hope this is right and helps!

Answer:

Step-by-step explanation:

n=N-ab

where n = 6

          a = 1

          b = 2

6 = N - 1(2)

N = 6 + 2

N = 8

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:

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.

Answer:

3 lines of symmetry

Step-by-step explanation:

the lines go through the vertices of the triangle

Answer:

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

Answer:

because they all have 3 corners

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

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.

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

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 :

https://brainly.com/question/19930939

#SPJ2

Answer:

A is correct

Step-by-step explanation:

Answer:

X

Rotate

Step-by-step explanation:

correct on edge 2020

Answer:

a. x

c. rotate

Step-by-step explanation:

edge2021 :)

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]