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lina2011 [118]
2 years ago
10

Charles is reading about computers. He learns that a computer processor can perform one command in approximately 0.000000016 nan

oseconds. What is this number expressed in scientific notation?
Mathematics
1 answer:
eimsori [14]2 years ago
4 0

Answer:

1.6 * 10^{-8}

Step-by-step explanation:

Given the following data;

Time = 0.000000016 nanoseconds

To express in standard scientific notation;

Scientific notation is a standard way of expressing very large numbers in powers of 10.

0.000000016 nanoseconds = 1.6 * 10^{-8} nanoseconds.

Note: count the number of zeros (0s) before 1 and write it to the power of 10.

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Rewrite the expression with the given base. 25^3x with a base of 5.
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The line integral of (2x+9z) ds where the curve is given by the parametric equations x=t, y=t^2, z=t^3 for t between 0 and 1. Pl
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Let r = (t,t^2,t^3)

Then r' = (1, 2t, 3t^2)

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\int_a^b f(r) |r'| dt

The limits are 0 to 1
f(r) = 2x + 9z = 2t +9t^3
|r'| is magnitude of derivative vector \sqrt{(x')^2 + (y')^2 + (z')^2}

\int_0^1 (2t+9t^3) \sqrt{1+4t^2 +9t^4} dt

Fortunately, this simplifies nicely with a 'u' substitution.

Let u = 1+4t^2 +9t^4

du = 8t + 36t^3  dt

\int_0^1 \frac{2t+9t^3}{8t+36t^3} \sqrt{u}  du \\  \\ \int_0^1 \frac{2t+9t^3}{4(2t+9t^3)} \sqrt{u}  du \\  \\  \frac{1}{4} \int_0^1 \sqrt{u}  du

After integrating using power rule, replace 'u' with function for 't' and evaluate limits:
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7 0
3 years ago
In a right triangle ΔABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find: Chapter Reference b The length of the
Butoxors [25]

Answer:

The length of the angle bisector of angle ∠A is 6.01.

Step-by-step explanation:

It is given that length of leg AC = 5 ft and the hypotenuse AB = 13 ft.

Using pythagoras theorem

(AB)^2=(BC)^2+(AC)^2

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\sin A=\frac{\text{perpendicular}}{\text{hypotenuse}}

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A'=\frac{67.38}{2} =33.69

In triangle ACD.

\cos A'=\frac{\text{Base}}{\text{Hypotenuse}}

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AD=\frac{5}{0.832} =6.009\approx 6.01

Therefore the length of the angle bisector of angle ∠A is 6.01.

4 0
3 years ago
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