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vitfil [10]
3 years ago
14

(01.02 MC)Maya is showing her work in simplifying (5.2 − 4.5) − 5.5 + 4.8. Identify any error in her work or reasoning. Step 1:

(5.2 − 4.5) − 5.5 + 4.8 Step 2: 5.2 + (− 4.5 − 5.5) + 4.8 (identity property) Step 3: 5.2 − 10 + 4.8 Step 4: 5.2 + 4.8 − 10 (commutative property) Step 5: 10 − 10 = 0
She wrote identity instead of commutative in Step 2.
She wrote commutative instead of distributive in Step 4.
She wrote identity instead of associative in Step 2.
She wrote commutative instead of associative in Step 4.
Mathematics
2 answers:
alexira [117]3 years ago
7 0

Hello,

The correct answer is C) She wrote identity instead of associative in Step 2.

Hope this helps!!!! :)

**(Vanessa)**

steposvetlana [31]3 years ago
3 0
I think it's the third one b/c the associative property states that it doesn't matter how you group the numbers in parenthesis in addition.
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5/6

Step-by-step explanation:

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drek231 [11]

See the attached picture:

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A water tank has a square base of area 5 square meters. Initially the tank contains 70 cubic meters. Water leaves the tank, star
ANEK [815]

Answer:

9.2\ \text{m}

Step-by-step explanation:

b = Surface area of base = 5 square meters

Volume of water in tank = 70 cubic meters

The rate at which the volume is reducing is

\dfrac{dV}{dt}=2+4t\\\Rightarrow dV=2+4tdt

Integrating from t=0 to t=3

V=\int^3_0(2+4t)dt\\\Rightarrow V=2t+2t^2|_0^3\\\Rightarrow V=2\times 3+2\times 3^2-0\\\Rightarrow V=24

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3 years ago
The maximum value of 12 sin 0-9 sin²0 is: -​
jeka57 [31]

Answer:

4

Step-by-step explanation:

The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)

If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0

However, I will assume you meant the angle to be \theta rather than 0 which makes sense and proceed accordingly

We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0

The original function is

f(\theta) = 12sin(\theta) - 9 sin^2(\theta)

Taking the first derivative of this with respect to \theta and setting it equal to 0 lets us solve for the maximum (or minimum) value

The first derivative of f(\theta) w.r.t \theta is

                        12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right)

And setting this = 0 gives

12\cos\left(\theta\right)-18\cos\left(\theta\right)\sin\left(\theta\right) = 0

Eliminating cos(\theta) on both sides and solving for sin(\theta) gives us

sin(\theta) = \frac{12}{18} = \frac{2}{3}

Plugging this value of sin(\theta) into the original equation gives us

12(\frac{2}{3}) - 9(\frac{4}{9} ) = 8 - 4 = 4

This is the maximum value that the function can acquire. The attached graph shows this as correct

3 0
1 year ago
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