This is because 154 X (12 X 12 X 12) this is because 12 on each cube side would all be multiplied together. one twelve for lengh, the other for height, and the other for width

5 0

4 years ago

When Lisa started at her current job, her employer gave her 2 days of paid

Novay_Z [31]

a. The equation computed shows that the number of paid vacation days has she earned will be 17 days.

b. The time when she will reach the maximum number of paid vacation days allowed is 6 years.

<h3>How to compute the equation?</h3>

a. The equation computed shows that the number of paid vacation days has she earned will be:

= 2 + 3x

x = 5

= 2 + 3(5)

= 2 + 15

= 17 days.

b. The maximum number of days for a pod vacation will be:

= 4 × 5

= 20 days.

The time when she will reach the maximum number of paid vacation days allowed will be:

20 = 3x + 2

3x = 20 - 2.

3x = 18

x = 18/3

x = 6 years

Learn more about equations on:

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7 0

2 years ago

Which equation is equivalent to log subscript 3 baseline (x 5) = 2? 3 squared = left-bracket log subscript 3 baseline (x 5) righ

wolverine [178]

The equation that is equivalent to the considered equation of log is given by: Option E: 2^3 = x+5

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get $a^b = c$

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

$b = \log_a(c)$

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Some properties of logarithm are:

$\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) \times log_b(c) = \log_a(c)$

Log with base e = 2.71828... is written as $\ln(x)$ simply.

Log with base 10 is written as $\log(x)$ simply.

The equation given is:

$\log_3(x+5) = 2$

By using the definition of log, which says $a^b = c \leftrightarrow \log_a(c) = b$ , we get:

$(x+5) = 2^3$ or $2^3 = x+5$

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: $2^3 = x+5$

(we used the fact that the question is asked in a way that expresses that there is only one equivalent equation. Plus we used the fact that as option E is a sure equivalent version, so it is correct option).

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: $2^3 = x+5$

Learn more about logarithm here:

brainly.com/question/20835449

4 0

2 years ago

Classify the triangle based on the side lengths 9, 40 and 41.

artcher [175]

Answer: right triangle

Step-by-step explanation: 9, 40, and 41 are examples of Pythagorean triples.

8 0

3 years ago