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lapo4ka [179]
3 years ago
13

Estimate the product of 204 and 0.46 Explain what method of estimation you used and why it works.

Mathematics
2 answers:
Ahat [919]3 years ago
8 0
The estimated product would be 100.00 because if u estimate 0.49 to 0.50 and 204 to 200, multiply it and u would get 100.00
solniwko [45]3 years ago
5 0

For sake of convenience, you can multiply them by 10,

then it will become, 2040 * 46 =93840

Now, you should divide that by 100, = 93840/100 = 93.84

Did you like that idea??

If not, you can approach for basic one...but then you have to be careful about decimal..ok

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Answer:

B

Step-by-step explanation:

Answer:

B

Step by Step explanation:

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The answer is Option B (x + 6)(x^2 + 8)

Step-by-step explanation:

Step 1: Group the given cubic polynomial into two sections.  

So  polynomial can be  grouped as

(x^3 + 6x^2) + (8x + 48)

Step 2:Find what's the common in each section.

In section (x^3 + 6x^2)  the come term is x^2

In section (8x + 48)  the come term is 8

Step 3:Factor the commonalities out of the two terms.

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Factoring out 8 from the second section(8x + 48) ,  we will get 8(x + 6).

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7 0
3 years ago
At 8:00 am, here's what we know about two airplanes: Airplane #1 has an elevation of 80870 ft and is decreasing at the rate of 4
wel

Let's begin by listing out the information given to us:

8 am

airplane #1: x = 80870 ft, v = -450 ft/ min

airplane #2: x = 5000 ft, v = 900ft/min

1.

We must note that the airplanes are moving at a constant speed. The equation for the airplanes is given by:

\begin{gathered} E=x_1+vt----1 \\ E=x_2+vt----2 \\ where\colon E=elevation,ft;x=InitialElevation,ft; \\ v=velocity,ft\text{/}min;t=time,min \\ x_1=80,870ft,v=-450ft\text{/}min \\ E=80870-450t----1 \\ x_2=5,000ft,v=900ft\text{/}min \\ E=5000+900t----2 \end{gathered}

2.

We equate equations 1 & 2 to get the time both airlanes will be at the same elevation. We have:

\begin{gathered} 5000+900t=80870-450t \\ \text{Add 450t to both sides, we have:} \\ 900t+450t+5000=80870-450t+450t \\ 1350t+5000=80870 \\ \text{Subtract 5000 from both sides, we have:} \\ 1350t+5000-5000=80870-5000 \\ 1350t=75870 \\ \text{Divide both sides by 1350, we have:} \\ \frac{1350t}{1350}=\frac{75870}{1350} \\ t=56.2min \\  \\ \text{After }56.2\text{ minutes, both airplanes will be at the same elevation} \end{gathered}

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The elevation at that time (when the elevations of the two airplanes are the same) is given by substituting the value of time into equations 1 & 2. We have:

\begin{gathered} E_1=80870-450t \\ E_1=80870-450(56.2) \\ E_1=80870-25290 \\ E_1=55580ft \\  \\ E_2=5000+900t \\ E_2=5000+900(56.2) \\ E_2=5000+50580 \\ E_2=55580ft \\  \\ \therefore E_1\equiv E_2=55580ft \end{gathered}

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