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The answer choice which explains whether the function is a direct variation or not is; This function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
<h3>Which explains whether or not the function represents a direct variation?</h3>
It follows from the task content that the function passes through the origin and hence, if the function was represents as a linear function, it's y-intercept would be zero.
Furthermore, the slope, otherwise termed it's rate of chage is constant and is evaluated as; $5 per hour. Hence, the aforementioned form the basis for the classification of the function as a direct variation.
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Answer:
1. 23.59 feet
2. 32.9°
Step-by-step explanation:
1. See the diagram attached.
The man is 11 feet distance from the bottom of the tree.
And the angle of elevation from the man to the top of the tree is 65°.
Now, we need to approximate the height of the tree,
Using the trigonometry, we can write
⇒ h = 11 tan 65° = 23.59 feet (Approx.) (Answer)
2. See the diagram attached.
From the given right triangle the hypotenuse is 25 feet and the base is 21 feet.
And the angle between the hypotenuse and the base is the pitch of the ram of a NASCAR turn.
Using trigonometry, we can write
⇒ 
(Answer)
We have been given two matrices a and b. A has 6 rows and 7 columns, while b has 7 rows and 8 columns.
Since we know that order matters in matrix multiplication. In order for matrix multiplication to be defined number of columns in the first matrix should be equal to the number of rows of in the second matrix.
We can see that number of columns in matrix a and number of rows in matrix b is 7.
Therefore, size of ab will be equal to number of rows of matrix a and number of columns of matrix b that is 6 by 8.
Now we will see whether ba is defined or not. We can see columns in matrix b are 8 and rows in matrix a are 6, which is not equal. So we can say that ba is not defined.
Therefore, size of ba is not defined (dne).
Answer:
Original amount invested = $3400 .
Step-by-step explanation:
Let the original investment of Steve = $x
Stock increased in the first year = 50% of amount invested
Therefore total amount after one year = x + 0.5x = 1.5x
Commission paid to the stock broker = $350
Amount lost by him = $400
Amount withdrawn by him = $300
Total amount decreased from the amount after 1 year
= 1.5x - (350 + 400 + 300)
= 1.5x - 1050
This remaining amount is doubled, so the final amount
= 2(1.5x - 1050)
= 3x - 2100
This final amount is equal to $8100
3x - 2100 = 8100
3x = 8100 + 2100
3x = 10200
x = $3400
Therefore original amount invested in the stock market was $3400 .
