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alukav5142 [94]

3 years ago

9

Damon is making muffins. He has added 3 of the ingredients. If he has added 6 ingredients, how many more does he have to add to

be finished?

1 answer:

sergey [27]3 years ago

8 0

I think the question meant if he added 3/4 of the ingredients, in which case it he needs to add two more.

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Why isn’t 3/4 a integer? answer asap pls

inn [45]

Answer: integer's are whole numbers so a fraction,decimal and negitive numbers aren't integer's

Step-by-step explanation:

4 0

2 years ago

Quincy is going on a vacation to Australia. His flight leaves at 9:50 A.M. It takes 20 minutes to get to the airport, and Quincy

ikadub [295]

If it takes 20 minute to get to the airport, and he wants to be there an hour and 5 minutes before his flight leaves, we have to subtract the time he leaves (9:50) by 1 hour and 5.

9:50 - 1 hour and 5 minutes.

9:50 - 65 minutes.

9:50 - 65 = 8:45.

Which means he must be at the airport at 8:45.

BUT,

The question is asking for the latest time that Quincy can LEAVE for the airport, which means it's 8:45 - 20 minutes, since it takes 20 minutes to get to the airport:

8:45 - 20 = 8:25

4 0

3 years ago

Read 2 more answers

The system of equations is coincident.<br>What are the missing values?

telo118 [61]

Coincident lines are lines that are the same.

In the beginning of both equations we have '4x' and '8x'.

Note that 8 / 4 = 2.

Multiply the rest of the numbers in the first equation by 2.

5y * 2 = 10y

8 * 2 = 16

So our 2nd line will be:

8x + 10y = 16

7 0

3 years ago

Lauren divided a pile of paper into 5 stakes. The line plot shows the height of each stack of paper.

sergiy2304 [10]

Answer:

Step-by-step explanation:

4 0

3 years ago

g 1) The rate of growth of a certain type of plant is described by a logistic differential equation. Botanists have estimated th

alexira [117]

Answer:

a) The expression for the height, 'H', of the plant after 't' day is;

$H = \dfrac{30}{1 + 5\cdot e^{-(2.02732554 \times 10^{-3}) \cdot t}}$

b) The height of the plant after 30 days is approximately 19.426 inches

Step-by-step explanation:

The given maximum theoretical height of the plant = 30 in.

The height of the plant at the beginning of the experiment = 5 in.

a) The logistic differential equation can be written as follows;

$\dfrac{dH}{dt} = K \cdot H \cdot \left( M - {P} \right)$

Using the solution for the logistic differential equation, we get;

$H = \dfrac{M}{1 + A\cdot e^{-(M\cdot k) \cdot t}}$

Where;

A = The condition of height at the beginning of the experiment

M = The maximum height = 30 in.

Therefore, we get;

$5 = \dfrac{30}{1 + A\cdot e^{-(30\cdot k) \cdot 0}}$

$1 + A = \dfrac{30}{5} = 6$

A = 5

When t = 20, H = 12

We get;

$12 = \dfrac{30}{1 + 5\cdot e^{-(30\cdot k) \cdot 20}}$

$1 + 5\cdot e^{-(30\cdot k) \cdot 20} = \dfrac{30}{12} = 2.5$

$5\cdot e^{-(30\cdot k) \cdot 20} = 2.5 - 1 = 1.5$

∴ -(30·k)·20 = ㏑(1.5)

k = ㏑(1.5)/(30 × 20) ≈ 6·7577518 × 10⁻⁴

k ≈ 6·7577518 × 10⁻⁴

Therefore, the expression for the height, 'H', of the plant after 't' day is given as follows

$H = \dfrac{30}{1 + 5\cdot e^{-(30\times 6.7577518 \times 10^{-4}) \cdot t}} = \dfrac{30}{1 + 5\cdot e^{-(2.02732554 \times 10^{-3}) \cdot t}}$

b) The height of the plant after 30 days is given as follows

$H = \dfrac{30}{1 + 5\cdot e^{-(2.02732554 \times 10^{-3}) \cdot t}}$

At t = 30, we have;

$H = \dfrac{30}{1 + 5\cdot e^{-(2.02732554 \times 10^{-3}) \times 30}} \approx 19.4258866473$

The height of the plant after 30 days, H ≈ 19.426 in.

3 0

3 years ago