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3 years ago

How do you write 0.000006 on scientific notation

Mathematics

1 answer:

mamaluj [8]3 years ago

3 0

Hello from MrBillDoesMath!

Answer: 6 * 10^(-6)

Discussion:

0.000006 = 6 * ( .000001) = 6 * 10^(-6)

Regards,

MrB

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I really really really need help!!!!

Yakvenalex [24]

For $f$ to be continuous at $x=1$ , you need to have the limit from either side as $x\to1$ to be the same.

$\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^-}(|x-1|+2)=2$
$\displaystyle\lim_{x\to1^+}f(x)=\lim_{x\to1^+}(ax^2+bx)=a+b$

If $a=2$ and $b=3$ , then the limit from the right would be $2+3=5\neq2$ , so the answer to part (1) is no, the function would not be continuous under those conditions.

This basically answers part (2). For the function to be continuous, you need to satisfy the relation $a+b=2$ .

Part (c) is done similarly to part (1). This time, you need to limits from either side as $x\to2$ to match. You have

$\displaystyle\lim_{x\to2^-}f(x)=\lim_{x\to2^-}(ax^2+bx)=4a+2b$
$\displaystyle\lim_{x\to2^+}f(x)=\lim_{x\to2^+}(5x-10)=0$

So, $a$ and $b$ have to satisfy the relation $4a+2b=0$ , or $2a+b=0$ .

Part (4) is done by solving the system of equations above for $a$ and $b$ . I'll leave that to you, as well as part (5) since that's just drawing your findings.

8 0

3 years ago

Find the equatio of the line tht contains the point (5,6) and is perpendicualr to the line 4x+2y=2

anzhelika [568]

--------------------------------------------------------------
Find Slope
--------------------------------------------------------------
4x + 2y = 2
2y= -4x + 2
y = -4/2 x + 2
y = -2x + 2

Slope = -2
Perpendicular slope = 1/2

--------------------------------------------------------------
Insert slope into the general equation y = mx + c
--------------------------------------------------------------
y = 1/2x + c

--------------------------------------------------------------
Find y-intercept
--------------------------------------------------------------
y = 1/2x + c
at (5,6)
6 = 1/2 (5) + c
6 = 5/2 + c
c = 6 - 5/2
c = 7/2

--------------------------------------------------------------
Insert y-intercept into y = 1/2 x + c
--------------------------------------------------------------
y = 1/2 x + 7/2
2y = x + 7

--------------------------------------------------------------
Answer: 2y = x + 7
--------------------------------------------------------------

3 0

3 years ago

Kelly has 6 sheets of stickers, with 9 stickers on each sheet. Her aunt gives her 5 more sheets, with 10 stickers on each sheet.

NemiM [27]

104. 54+50. 6 times 9 equals 54. Ten times 5 equals 50.

8 0

3 years ago

A triangular plaque has side lengths of 8 inches, 13 inches, and 15 inches.

lianna [129]

<h3>Answer: A) 52 square inches</h3>

==========================================================

Explanation:

a = 8, b = 13, and c = 15 are the sides of the triangle

s = (a+b+c)/2 = (8+13+15)/2 = 18 is the semi-perimeter, aka half the perimeter.

Those values are then plugged into Heron's Formula below

$A = \sqrt{s*(s-a)*(s-b)*(s-c)}\\\\A = \sqrt{18*(18-8)*(18-13)*(18-15)}\\\\A = \sqrt{18*(10)*(5)*(3)}\\\\A = \sqrt{2700}\\\\A = \sqrt{900*3}\\\\A = \sqrt{900}*\sqrt{3}\\\\A = 30\sqrt{3}\\\\A \approx 51.9615\\\\A \approx 52\\\\$

The triangular plaque has an area of approximately 52 square inches.

6 0

3 years ago

What is the total number of common tangents that can be drawn to the circles

Alexxx [7]

The total number of common tangents that can be drawn to the circles is 2.

<h3>What is a tangent?</h3>

A tangent serves as line that touches the circle at a single point whereby the point where tangent meets the circle is the tangency.

A tangent to a circle can be described as the straight line that touches the circle at only one point.

Therefore, from the definition, The total number of common tangents that can be drawn to the circles is 2.