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1 year ago

3^-3 x 10^-3 what is the value?

Mathematics

1 answer:

Semenov [28]1 year ago

7 0

Answer:

$\frac{1}{27000}$ or $3.703$ × $10^{-5} \\$

Step-by-step explanation:

$3^{-3} \\$ is the same as $\frac{1}{3}^{3}$ or $\frac{1}{27}$ .

$10^{-3}$ is the same as $\frac{1}{10}^3$ or $\frac{1}{1000}$ .

So, $3^{-3}$ × $10^{-3}$ is basically $\frac{1}{3}^{3}$ × $\frac{1}{10}^3$ or $\frac{1}{27}$ × $\frac{1}{1000}$ , which both are simplified to $\frac{1}{27000}$ .

$\frac{1}{27000}$ can also be written as $3.703$ × $10^{-5} \\$ in scientific notation in decimal form.

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Let a=3/5 and let b=2/3. Compute a^2b^-3.

Amanda [17]

Answer: 81/100

Step-by-step explanation:

I don't guarantee you I am right but..

first, solve for the exponents after substituting the numbers in

3/5 x 3/5 is 9/25

since b's exponent is negative, you change the fraction into its reciprocal and then do it with the exponent but positive

2/3^-3 to 3/2^3 and 3/2 x 3/2 is 9/4

then you mutiply both numbers to get 9/4 x 9/25 is 81/100

7 0

1 year ago

Determine whether the statement is true or false. Justify your answers.

marusya05 [52]

Answer:

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis. ⇒ False

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis. ⇒ False

Step-by-step explanation:

Let us explain the reflection about the axes

If a graph is reflected about the x-axis, then the y-coordinates of all points on it will opposite in sign

Ex: if a point (2, -3) is on the graph of f(x), and f(x) is reflected about the x-axis, then the point will change to (2, 3)

That means reflection about the x-axis change the sign of y

y = f(x) → reflection about x-axis → y = -f(x)

If a graph is reflected about the y-axis, then the x-coordinates of all points on it will opposite in sign

Ex: if a point (-2, -5) is on the graph of f(x), and f(x) is reflected about the y-axis, then the point will change to (2, -5)

That means reflection about the y-axis change the sign of x

y = f(x) → reflection about y-axis → y = f(-x)

Now let us answer our question

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the x-axis.

It is False because reflection about x-axis change sign of y

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the x-axis

The graph of y = -f(x) is a reflection of the graph of y = f(x) in the y-axis.

It is False because reflection about y-axis change sign of x

The graph of y = f(-x) is a reflection of the graph of y = f(x) in the y-axis

7 0

2 years ago

Which presents the value of c

Tems11 [23]

Answer:

It's choice 2. c = 3 sin 45 / sin 40.

Step by-step explanation:

m< A = 180 - 45-95

= 180 - 140

= 40 degrees.

So by the Sine Rule:

c / sin 45 = 3 / sin A

Cross multiply:

c sin A = 3 sin 45

c = 3 sin 45 / sin 40.

8 0

2 years ago

Read 2 more answers

For the polynomial 17x2 – x: (3 marks)

Sladkaya [172]

Answer:

See below

Step-by-step explanation:

Given polynomial is: $17x^2 - x$

a. Terms: $17x^2, \: \&\: - x$

b. 17 and - 1

c. Binomial or quadratic polynomial

7 0

2 years ago

16% of a number is 60. What is that number? A375 B 432 C 456 D753

Vlad1618 [11]

Answer:

Its A: 375

Because, if you take 26.6 you have to round it. So, the 6 behind the decimal is over 5 so make the other 6 in front of the decimal a 7. So, the 7 will add 1 to the 2 to make it 3. And i forgot how to get the 5, but trust me dis is right. :3

4 0

2 years ago