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3 years ago

Round 399,713 to the nearest thousand

Mathematics

1 answer:

solniwko [45]3 years ago

3 0

399,713 rounded to the nearest thousand would be <span>400,000

Hope I Helped!!! :-)

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determine the equation of the parabola (simplified) with roots -3+sqrt6 and -3-sqrt6, and passing through the point (-1,4)

klio [65]

Given:

Roots:

$\begin{gathered} -3+\sqrt[]{6} \\ -3-\sqrt[]{6} \end{gathered}$

Point: (-1,4)

To determine the equation of the parabola with the given roots and point, we find the missing values first.

Since the roots are given, we can say that the equation is:

$y=a(x+3-\sqrt[]{6})(x+3+\sqrt[]{6})$

Next, we expand the terms.

$y=a(x^2+6x+3)$

Then, we plug in x= -1, and y=4 into the equation to get the value of a.

$\begin{gathered} y=a(x^2+6x+3) \\ 4=a((-1)^2+6(-1)+3) \\ \text{Simplify and rearrange} \\ 4=a(-2) \\ a=\frac{4}{-2} \\ a=-2 \end{gathered}$

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$undefined$

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2 years ago

Mulder and Scully are driving to the same town. Mulder leaves the office at 9:30a.m. averaging 57mph. Scully leaves at 10:00a

koban [17]

Answer:

Scully will catch up with Mulder by 7:30 PM.

Step-by-step explanation:

Consider the provided information.

Mulder leaves the office at 9:30a.m. averaging 57mph.

Scully leaves at 10:00a.m., following the same path and averaging 60 mph.

Distance covered by Mulder between 9:30 AM and 10:00 AM:

$\frac{57}{2}= 28.5$ miles

Let t is the time taken by Scully to catch up with Mulder.

After leaving office Scully needs to cover extra distance of 28.5 miles because Mulder leaves the office earlier.

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4 years ago

Find the approximate side length of a square game board with an area of 171 in?

Makovka662 [10]

<em>Greetings from Brasil...</em>

According to the statement of the question, we conclude that the area of a square is requested, whose value is 171 in²

The area of a square is given by the expression:

A = S²

<em>where S is the side of the square - just what we want to know</em>

So:

A = S²

171 = S²

√171 = S

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Answer:

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