A. Answer: y = 32.913(1.126)ˣ
<u>Step-by-step explanation:</u>
You are given two coordinates (2, 53) and (9, 122). Use these to create a system of equations:
53 = a(b)² and 122 = a(b)⁹
122 = a(b)²· (b)⁷
122 = 53 · (b)⁷
1.126 = b
Substitute the b-value into either of the equations to solve for "a":
53 = a(1.126)²
32.913 = a
Input the a- & b-values into the general form of an exponential equation:
y = a(b)ˣ
y = 32.913(1.126)ˣ
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B. Answer: 23 minutes
<u>Step-by-step explanation:</u>
Substitute y = 500 into the equation above to solve for x:
500 = 32.913(1.126)ˣ
Answer:
the first one is 0.2142 but sorry dont know the others
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Ratios and Proportions
</u>
The ratio between two numbers x and y is defined as x/y. It measures how many times y is contained in x. For example 12/8 = 1.5 means 12 is 1.5 times 8.
We have two key sets of data: the ratio between the surface areas of the cylinders and the fact that the radius and heights of the cylinders come in the same proportion.
First, we can easily compute the ratio of the surface areas
It gives us the relation
Computing the square root
Computing the cube
Answer:
1 and 8
2 and 7
Step-by-step explanation:
Alternate angles take form of a Z-angle.
For alternate exterior angles look for exterior angles that for Z- pattern.
The alternate exterior angles are marked in the attached diagram.
Hence the alternate exterior angles are:
1 and 8
2 and 7