Answer:
Yes, her calculation is correct. The value of 40% of 75 is 30.
Step-by-step explanation:
The value of 40% of 75 is

The value of
of 75 is

From the above calculation it is noticed that the value of 40% of 75 and
of 75 are same, therefore the calculation is correct and the value of 40% of 75 is 30.
Answer:

Step-by-step explanation:

Identity used:


Now let us divide the modified expressions:
÷ 
we get:

1) The x-axis represents the energy (
), in joules. The y-axis represents the amplitude (
), in milimeters.
2) The curve depicts an <em>monotonous decrecent</em> rate of change.
3) The amplitude is directly proportional to the root square of the energy.
<h3>How to analyze a graph relationship between two variables</h3>
In this question we have a relationship between two variables, in which we must apply principles of <em>functional</em> analysis to respond three questions presented in the statement.
Now we proceed to answer the three questions below:
- <em>What is on the x-axis? The y-axis?</em> R/ The x-axis represents the energy (
), in joules. The y-axis represents the amplitude (
), in milimeters. - <em>How would you describe the rate of change of the line?</em> R/ The curve depicts an <em>monotonous decrecent</em> rate of change, that is, the slope converges to zero when the energy tends to infinite.
- <em>What does this tell you about the relationship between amplitude and energy?</em> R/ The curve show a strong similarity with a function of the form
. Hence, the amplitude is directly proportional to the root square of the energy.
To learn more on functions, we kindly invite to check this verified question: brainly.com/question/12431044
Answer:
This is true.
Step-by-step explanation:
Step 1: see that √27 is the same as √3*3*3 and thus 3√3
Step 2: remove parenthesis so that 2(1-3√3) becomes 2 - 6√3
Step 3: observe that the equation now becomes 6√3 + 2 - 6√3 = 2
if you simplify any further, you are left with 0=0, which is true.
Comment if there is any step that requires more details...
Answer:
<em>tan 19° = 0.3443</em>
Step-by-step explanation:
<u>Value Of Trigonometric Functions</u>
The value of the tangent of 19° cannot be expressed in exact form, that it, as a function of radicals or known constants as pi.
We need to use a calculator, computer, or similar technology to find the required value. We use a scientific calculator to get:
tan 19° = 0.3443
To the nearest ten-thousandth