1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
elixir [45]
3 years ago
8

Suppose you are determining the growth rate of two species of plants. Species A is 12 cm tall and grows 2 cm per month. Species

B is 10 cm tall and grows 3 cm per month. Which system of equations models the height of each species H(m) as a function of months m.
H(m ) = 12 + 2m
H(m ) = 3 + 10m
H(m ) = 2 + 12m
H(m ) = 3 + 10m
H(m ) = 12 + 2m
H(m ) = 10 + 3m
H(m ) = 2 + 12m
H(m ) = 10 + 3m
Mathematics
1 answer:
stira [4]3 years ago
4 0
First one has initial height of 12 cm and on that inicial height we add 2cm each month which can be written as 2m + 12

Second one has initial height of 10 cm and grows 3cm per month which can be written as 3m + 10

Now we just have to find those expressions in offered equations to find answer.

We can see that system of equations is:
H(m) = 12 + 2m
H(m) = 10 + 3m

or third pair.
You might be interested in
HELP ILL GIVE BRAINLIEST what’s the surface area?
sdas [7]

Answer:

i dont know im so sorry for making you feel like you

Step-by-step explanation:

i dont know im so sorry for making you feel like you

7 0
3 years ago
2, 5, 9, 14, ?, 27. what’s the missing number?
poizon [28]

Answer:

20

Step-by-step explanation:

2, 5, 9, 14, ?, 27.

2,5 the number added is 3

5,9 the number added is 4

9,14 the number added is 5

14,20 the number added is 6

20 , 27 the number added is 7

7 0
3 years ago
Read 2 more answers
Help pleaseeee!!!!!!!!! I’ll mark brainliest!!!!!
Margarita [4]

Answer:

i believe it is D side angle side

Step-by-step explanation:

7 0
3 years ago
What is area of this shape
german

Answer:

132 ft squared

Step-by-step explanation:

One way is to divide the shape into a rectangle and a triangle, by drawing a vertical line.

This gives a rectangle that is 9 by 11, so has area 99.

The triangle has a base of 11 and height of 15 - 9 = 6.

So the area of the triangle = 1/2 x b x h = 1/2 x 11 x 6 = 33

So the total area is 99 + 33 = 132.

5 0
3 years ago
A metal cylinder can with an open top and closed bottom is to have volume 4 cubic feet. Approximate the dimensions that require
Aleksandr-060686 [28]

Answer:

r\approx 1.084\ feet

h\approx 1.084\ feet

\displaystyle A=11.07\ ft^2

Step-by-step explanation:

<u>Optimizing With Derivatives </u>

The procedure to optimize a function (find its maximum or minimum) consists in :

  •  Produce a function which depends on only one variable
  •  Compute the first derivative and set it equal to 0
  •  Find the values for the variable, called critical points
  •  Compute the second derivative
  •  Evaluate the second derivative in the critical points. If it results positive, the critical point is a minimum, if it's negative, the critical point is a maximum

We know a cylinder has a volume of 4 ft^3. The volume of a cylinder is given by

\displaystyle V=\pi r^2h

Equating it to 4

\displaystyle \pi r^2h=4

Let's solve for h

\displaystyle h=\frac{4}{\pi r^2}

A cylinder with an open-top has only one circle as the shape of the lid and has a lateral area computed as a rectangle of height h and base equal to the length of a circle. Thus, the total area of the material to make the cylinder is

\displaystyle A=\pi r^2+2\pi rh

Replacing the formula of h

\displaystyle A=\pi r^2+2\pi r \left (\frac{4}{\pi r^2}\right )

Simplifying

\displaystyle A=\pi r^2+\frac{8}{r}

We have the function of the area in terms of one variable. Now we compute the first derivative and equal it to zero

\displaystyle A'=2\pi r-\frac{8}{r^2}=0

Rearranging

\displaystyle 2\pi r=\frac{8}{r^2}

Solving for r

\displaystyle r^3=\frac{4}{\pi }

\displaystyle r=\sqrt[3]{\frac{4}{\pi }}\approx 1.084\ feet

Computing h

\displaystyle h=\frac{4}{\pi \ r^2}\approx 1.084\ feet

We can see the height and the radius are of the same size. We check if the critical point is a maximum or a minimum by computing the second derivative

\displaystyle A''=2\pi+\frac{16}{r^3}

We can see it will be always positive regardless of the value of r (assumed positive too), so the critical point is a minimum.

The minimum area is

\displaystyle A=\pi(1.084)^2+\frac{8}{1.084}

\boxed{ A=11.07\ ft^2}

8 0
3 years ago
Other questions:
  • Use the arc length formula to find the length of the curve y = 5x − 1, −3 ≤ x ≤ 2. Check your answer by noting that the curve is
    8·1 answer
  • Determine the quadratic equation for which the zeros are 1/3 and 5/2
    11·1 answer
  • A faucet drip 2/3 gallon h2o in 10 hrs. how much h20 drips per day. 1/15,5/18,1 3/5 or 6 2/3 gallons
    13·1 answer
  • WILL GIVE BRAINLIEST Which expression represents the volume, in cubic units, of the composite figure?
    6·1 answer
  • Help❗❗❗❗PLS! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    13·1 answer
  • TanA × cosecA = secA​
    12·1 answer
  • 5/9 + 5 4/9 lowest terms
    9·2 answers
  • Please solve in the next 10 minutes pleaseeee
    9·1 answer
  • 5x - 9y = -24<br> y= -2x - 5<br> Help
    7·1 answer
  • Solve for x in terms of c 3(cx-7)=9
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!