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3 years ago

What is the value of ▲ in the equation shown? 7 x 9 = (7 x 10) - (7 x ▲) =_____

1 answer:

4 0

I'm changing the triangle to x to make it easier to look at.
63=70-7x<span>
subtract by 70 to get 7x by itself
-7= -7x
Divide by -7 to both sides to get x
</span><span>▲=1</span>

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Can anyone help me with this one please

bulgar [2K]

A. 314 sq cm

Explanation: pi•r^2
3.14 x 10^2
3.14 x 100 =314

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2 years ago

Use the unique factorization of integers theorem to prove the following statement. If n is any positive integer that is not a pe

anyanavicka [17]

Answer:

Step-by-step explanation:

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3 years ago

Please show your work! I have 3 more of these, and I want to be able to do them by myself.

Radda [10]

Answer:

Step-by-step explanation:

We group the number 5:

5(x² + 3x + 2.25)

Now inside the brackets we'll take the square root of the coefficient of the x and the square root of the last number, then remove the square from the x and write it as a sum:

5(x+1.5)²

What's the idea behind this?

Well, remember that when you have something in the form:

(a+b)²

It actually means:

a² + 2ab + b²

In our case a was x, and b was 2.25. For bringing it into the shorter form we have to take the square root of a and b.

Sorry if you don't understand. Tell me if you need help to get the xoncept better.

3 0

2 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.

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3 years ago

HELP ASAP!!!

kifflom [539]

C is the answer to your question

3 0

3 years ago

Read 2 more answers