let's put value of t in equation.
x = 2√t
x = 2√y
x/2 = √y
(x/2)^2 = y
y = x^2 /4
now let's differentiate it with respect to x.
dy/dx = 2x/4 = x/2
differentiating again wrt to x
d^2y/dx^2 = 1/2
Answer: Use order of operations (PEMDAS). Answer is 45.72.
Step-by-step explanation:
First, solve inside parenthesis:
(5.25*1 1/5 - 4.5*4/5)
Convert 1 1/5 into decimal. It will be easier. 1 1/5 is the same as 1.2
Do multiplication and division first.
5.25*1.2 = 6.3
Now it looks like: (6.3 - 4.5*4/5)
Convert 4/5 to a decimal: 4/5 = 0.8
(6.3 - 4.5*0.8)
Multiply 4.5*0.8 = 3.7
Subtract (6.3 - 3.7) = 2.6
Now the full equation is: 19.6*2 1/5 + (2.6)
2 1/5 as a decimal: 2.2
Multiply 19.6*2.2 = 43.12
Now the equation is: 43.12 + 2.6
Add 43.12 + 2.6 = 45.72
<h3>
Answer: 864</h3>
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Work Shown:
There are,
- 3 sizes of coffee
- 4 types of coffee
- 2 choices for cream (you pick it or you leave it out)
- 2 choices for sugar (same idea as the cream)
This means there are 3*4*2*2 = 12*4 = 48 different coffees. We'll use this value later, so let A = 48.
There are 6 bagel options. Also, there are 3 choices in terms of if you order the bagel plain, with butter, or with cream cheese. This leads to 6*3 = 18 different ways to order a bagel. Let B = 18.
Multiply the values of A and B to get the final answer
A*B = 48*18 = 864
There are 864 ways to order a coffee and bagel at this restaurant.
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If you're curious why you multiply the values out, consider this smaller example.
Let's say you had 3 choices of coffee and 2 choices for a bagel. Form a table with 3 rows and 2 columns. Place the different coffee choices along the left to form each row. Along the top, we'll have the two different bagel choices (one for each column).
This 3 by 2 table leads to 3*2 = 6 individual table cells inside. Each cell in the table represents a coffee+bagel combo. This idea is applied to the section above, but we have a lot more options.
Answer:the measure of angle 6 is 60 degrees.
Step-by-step explanation:
The two horizontal lines ate straight and parallel lines. It is established that the sum of the angles on a straight line is 180 degrees. Looking at the given figure, angle 5 and angle 6 are on a straight line. Therefore
Angle 5 + angle 6 = 180 degrees. Therefore,If angle 5 is 120 degrees,then
Angle 6 + 120 = 180
Angle 6 = 180 - 120 = 60 degrees.
