Cyanobacteria, also known as blue-green algae, are a kind of bacteria found in many lakes. These organisms make their own food through photosynthesis. Small animals, including mayfly larvae, eat the cyanobacteria. Small fish, such as yellow perch, eat the mayfiy larvae. The small fish provide food for larger fish, such as walleye. Choose the level of the food pyramid that represents the energy role of cyanobacteria in the lake ecosystem.​

Level 1
Level 2
Level 3
Level 4

I'll do the first one to get you started.  

Find the slope of the line between R (6,-2) and S (-1,8) to get

m = (y2-y1)/(x2-x1)

m = (8-(-2))/(-1-6)

m = (8+2)/(-1-6)

m = 10/(-7)

m = -10/7

The slope of line RS is -10/7

Next, we find the slope of line DF

m = (y2 - y1)/(x2 - x1)

m = (4-11)/(11-(-1))

m = (4-11)/(11+1)

m = -7/12

From here, we multiply the two slope values

(slope of RS)*(slope of DF) = (-10/7)*(-7/12)

(slope of RS)*(slope of DF) = (-10*(-7))/(7*12)

(slope of RS)*(slope of DF) = 10/12

(slope of RS)*(slope of DF) = 5/6

Because the result is not -1, this means we do not have perpendicular lines here. Any pair of perpendicular lines always has their slopes multiply to -1. This is assuming neither line is vertical.

I'll let you do the two other ones. Let me know what you get so I can check your work.

Answer:

integers is -15+253-36sumn

Answer: The smallest valuest value for k is 10, such that LCM of k and 6 is 60.

Step-by-step explanation:

We know that, LCM = Least common multiple.

For example : LACM of 12 and 60  is 60.

If LCM of k and 6 is 60.

i.e. the least common multiple of k and 6 is 60.

Since, 10 x 6 = 60.

The smallest valuest value for k should be 10, such that LCM of k and 6 is 60.

Hence, the smallest value of k is 10.

Answer:I don’t really know

Step-by-step explanation:

Yeah

Answer:

It is K.

Step-by-step explanation:

Answer: 15 weeks

Step-by-step explanation:

198-63=135

135/9=15

Answer:

[tex]f(1)=-7[/tex]

Step-by-step explanation:

We are given the derivative:

[tex]f^\prime (x) = 3 x^2 + 2x[/tex]

And the initial condition that f(2)=3.

And we want to find f(1).

So, to find our original function f(x), we will find the antiderivative of f'(x). Hence:

[tex]\displaystyle f(x)=\int f^\prime(x)\, dx=\int3x^2+2x\, dx[/tex]

By integrating, we acquire:

[tex]f(x)=x^3+x^2+C[/tex]

Since we know that f(2)=3:

[tex]3=(2)^3+(2)^2+C[/tex]

It follows that:

[tex]C=-9[/tex]

Therefore, our function is given by:

[tex]f(x)=x^3+x^2-9[/tex]

Therefore:

[tex]f(1)=(1)^3+(1)^2-9 = -7[/tex]

Here we want to solve a differential equation, we will find that our function is f(x) = x^3 + x^2 -9

So we want to find f(x) such that we know f'(x).

We know that:

f'(x) = 3x^2 + 2x

To get f(x) we just need to integrate, we will get:

[tex]f(x) = \int\limits {3x^2 + 2x} \, dx = x^3 + x^2 + c[/tex]

Where c is a constant of integration.

Now, we know that f(2) = 3, with that we can find the value of c.

f(2) = 2^3 + 2^2 + c = 3

          8 +  4 + c = 3

          c = 3 - 12 = -9

So the function is:

f(x) = x^3 + x^2 -9

If you want to learn more about differential equations, you can read:

https://brainly.com/question/18760518

Answer: it’s point c

Step-by-step explanation:

Answer C

Answer:A

Step-by-step explanation:

you just told me but thanks for the points message me if you need more answers

Answer:  x = 12

midsegment is 16 units long

bottom side is 32 units long

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

Work Shown:

The midsegment 2x-8 is parallel to the bottom side 2x+8

The bottom side is twice as long compared to the midsegment (since the midsegment is half the length of the bottom side).

We can say

bottom side = 2*(midsegment)

2x+8 = 2*(2x-8)

2x+8 = 4x-16

2x-4x = -16-8

-2x = -24

x = -24/(-2)

x = 12

--------------------

Extra info:

Now that we know x, we can find the length of those segments

midsegment = 2x-8 = 2*12-8 = 24-8 = 16

bottom side = 2x+8 = 2*12+8 = 24+8 = 32

Note the bottom side (32) is exactly twice as long compared to the midsegment (16). This confirms we have the correct x value.

Answer:

X=0

Step-by-step explanation:

36-3(2-4x0)

33(-2x0)

33(0)

=0

Answer:

5

Step-by-step explanation:

5x6 =

30

Answer:

5

Step-by-step explanation:

30÷6=5.this answer =5

Răspuns:

125%

Explicație pas cu pas:

a și B sunt invers proporționale cu numerele 12 și 15

Proporționalitate inversă:

a = k / y

Prin urmare ;

a = k / 12 - - - (1)

b = k / 15 - - - (2)

Procent care reprezintă a de la b

a = 100%

b = x

k / 12 = 1

k / 15 = x

Înmulțirea încrucișată:

x * k / 12 = k / 15

x = k / 12 ÷ k / 15

x = k / 12 * 15 / k

x = 15/12

x = 1,25

1,25 * 100% = 125%

Answer:

The ones 1 1/12, 1/12, 10 1/3, and 1 1/9, all go in the less than 10 1/2. And three numbers marked 10 1/2 go in the greater than 10 1/2

Step-by-step explanation:

Answer:

1 1/12*10 1/2 is greater than

1/12 *10 1/2 is smaller than

10 1/3* 10 1/2 is greater than

1 1/9* 10 1/2 is greater than

Answer:

The average rate of change is -3.

Step-by-step explanation:

We are given the function:

[tex]f(x)=9-x^2[/tex]

And we want to find the average rate of change from x = 0 to x = 3.

In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.

For our first endpoint at x = 0, our function evaluates to:

[tex]f(0)=9-(0)^2=9[/tex]

So, our first point is (0, 9).

For our second endpoint at x = 3, our function evaluates to :

[tex]f(x)=9-(3)^2=0[/tex]

So, our second point is (3, 0).

Then by the slope formula, our average rate of change will be:

[tex]\displaystyle m=\frac{0-9}{3-0}=\frac{-9}{3}=-3[/tex]

Answer:

3

Step-by-step explanation:

The ratio of adult dog to puppies is 3:2

There were 12 puppies that day

Number of adult puppies can be calculated as follows

= 3/2× 12

= 3 ×6

= 18

There were 15 adult dogs in the park on Tuesday

Hence the difference can be calculated as follows

= 18-15

= 3

The mystery number is 16 because 16 - 6 = 10.

Step-by-step explanation:

☄ [tex] \underline{ \underline{ \sf{Given}}}: [/tex]

☄ [tex] \underline{ \underline{ \sf{To \: find}}} : [/tex]

❅[tex] \underline{ \underline{ \text{Solution}}}:[/tex]

✑ [tex] \boxed{ \text{TSA = 2lw + 2lh + 2hw}}[/tex]

Plug the known values :

⟼ [tex] \sf{2 \times 4 \times 2 + 2 \times 4 \times 5 + 2 \times 5 \times 2}[/tex]

⟼ [tex] \sf{16 + 40 + 20}[/tex]

⟼ [tex] \boxed{\sf{76 \: {cm}}^{2} }[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : 76 \: {cm}}^{2} }}}[/tex]

Hope I helped !♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer: The /\ is 6. The number is 6.

Explanation: 678564 ÷ 9 = 75396

Answer:

x=y+20

Step-by-step explanation:

y=x-20

Swap sides so that all variable terms are on the left hand side.

x-20=y

Add 20 to both sides.

x=y+20

Answer:

x= y+20

Step-by-step explanation:

Answer: Nancy spent $44.59 on 5.25 quarts of olive oil. What is the cost of one quart of olive oil? Round to the nearest cent.

$8.38 per quart

$8.49 per quart

$8.57 per quart

$8.92 per quart

Step-by-step explanation:

Answer:

365(1.6)^t

Step-by-step explanation:

the standard equation

Create an inequality and solve:

Answer:

D- two more than a number multipled by seven

Step-by-step explanation:

brainiest?

you have to do what the equation says to solve the equation! good luck!

Answer:

$20

subtract 9 from 89 beacuse we need to find how much is 1 meal and the 9 represents 1 appetizer

89-9=80

since there are 4 meals divide 80 by 4

80÷4= 20

and u get $20 per meal

Step-by-step explanation:

The cost of an appetizer = 9

The cost of a meal = m

The cost of an appetizer and 4 meals = 9 + 4(m) = 89

4m +9 = 89         Your equation, solve for m

4m - 9 + 9 = 89 - 9    Bring the constants to one side

4m = 80               Simplification

4m/4 = 80/4         isolating the variable

m= 20                  Your answer!!!

A meal costs 20 dollars

I hope this helps!!!

If you wanted to check the answer...

Do the same thing but substitute for m

4 (20) + 9 = 89

80 + 9 = 89

89 = 89

The answer should be correct

Have a nice day!!!

Step-by-step explanation:

it's close to 6

.................

Answer:

B

Step-by-step explanation:

Answer:

A. Bananas

Step-by-step explanation:

Bananas = 8

Oranges = 3

Apples = 5

Kiwis = 6

For every 3 kiwis, there are 4 ______

Kiwi : bananas = 6 : 8

6 : 8 = 6/8

= 3 / 4

= 3 : 4

Kiwi : oranges = 6 : 3

= 6 / 3

= 2 / 1

= 2 : 1

Kiwi : apples = 6 : 5

For every 3 kiwis, there are 4 bananas

A. Bananas

Answer:

The probability of spinning a yellow is 0.20

Step-by-step explanation:

red= 20%

yellow= 20%

blue=20%

green=20%

orange=20%

20%=0.20

I really don't know just say its o

Answer:

1/2. (0.5)

My apologies for no explanation, I just put it in my calculator.

80% = $18

(divide both sides by 80 to find 1%)

1% = 0.225

(multiply both sides by 100 to find 100%)

100% = $22.50