Let us see... ideally we would like to have all equations with the same exponent or the same base so that we can compare the rates. Since the unknown is in the exponent, we have to work with them. In general,
![x^(y/z)= \sqrt[z]{x^y}](https://tex.z-dn.net/?f=x%5E%28y%2Fz%29%3D%20%5Csqrt%5Bz%5D%7Bx%5Ey%7D%20)
.
Applying this to the exponential parts of the functions, we have that the first equation is equal to:
250*(
![\sqrt[5]{1.45} ^t](https://tex.z-dn.net/?f=%20%5Csqrt%5B5%5D%7B1.45%7D%20%5Et)
)=250*(1.077)^t
The second equation is equal to: 200* (1.064)^t in a similar way.
We have that the base of the first equation is higher, thus the rate of growth is faster in the first case; Choice B is correct.
Class B has the most consistant sleep because there is less of a difference between 6.87 and 3.65 than the other classes.
Answer:
A shape with two pairs of parallel lines, perpendicular lines, and two pairs of equal sides can be best described as a rectangle.
<span>n aircraft travels with the wind for 120 miles in 0.75 of an hour. The return trip is flown against the wind and takes exactly 1 hour.
Which system of linear equations represents x, the speed of the plane in miles per hour, and y, the speed of the wind in miles per hour?
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With wind DATA:
distance = 120 miles ; time = (3/4)hr ; rate = 120/(3/4) = 160 mph
----
Against wind DATA:
distance = 120 miles ; time = 1 hr ; rate = 120 mph
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Equation::
Let p be speed of the plane in still air
Let w be speed of the wind
==================================
With wind:: p + w = 160 mph
Against wind:: p - w = 120 mph
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</span>
Part A.
Before you can write any sort of expression, you need to define variables. "grapes g" is not a definition, so the exercise seems meaningless as written. It seems the intent is to ...
let g, b, p represent the numbers of pounds of grapes, bananas, and pears, respectively.
Then, the total cost of some weight of fruit is
2.19g + 0.59b + 1.49p
Part B.
For g=3, b=3, p=2, the expression evaluates to
2.19*3 +0.59*3 +1.49*2 = 11.32
The total cost of 3 pounds of grapes, 3 pounds of bananas, and 2 pounds of pears is ...
$11.32
