Answer:
946.242 milliliters
Step-by-step explanation:
The client drank 6 ounces of orange juice and 4 ounces of coffee for breakfast. We need to convert ounces to milliliters
1 ounce = 29.574 milliliters
6 ounces of orange juice
= 6 × 29.574 = 177.444 milliliters
4 ounces of coffee = 4 × 29.574 = 118.296 milliliters
For lunch, he consumed 8 ounces of tea and 6 ounces of ginger ale.
8 ounces of tea = 8 × 29.574 =236.529 milliliters
6 ounces of ginger ale = 6 × 29.574 =177.444 milliliters
4 ounces of water at 10:00 a.m. and at 2:00 p.m. this means 8 ounces of water.
8 ounces of water = 8 × 29.574 =236.529 milliliters
Total consumption by the client =
177.444 + 118.296 + 236.529 + 236.529= 946.242 milliliters
a) The first integral corresponds to the area under y = f(x) on the interval [0, 3], which is a right triangle with base 3 and height 5, hence the integral is

b) The integral is zero since the areas under the curve over [3, 4] and [4, 5] are equal but opposite in sign. In other words, on the interval [3, 5], f(x) is symmetric and odd about x = 4, so

c) The integral over [5, 9] is the negative of the area of a rectangle with length 9 - 5 = 4 and height 5, so

Then by linearity, we have

If you have an average of 97.2 on your current exam and you get a 99 on your next exam, your average will increase.
- Mean in mathematics is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the total number of values.
- To find the average, sum all the values in the set. Then divide the total by the number of values.
We have the current examination mean, xold = 97.2
Now, we receive, x = 99 on the next examination, the new mean will be:
xnew = (xold + x)/N
xnew = (97.2+99)/2
xnew = 196.2/2
xnew = 98.1
The new average is 98.1
98.1 > 97.2
So if you score 99 on your next exam, your average will increase.
Learn more about mean here
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Answer:
the scatter plots shows a positive association.
A). They are not similar, because 6/13 is not equal to 8/20
For triangles to be similar, the ratios of sides need to be the same (shortest to shortest, middle to middle, longest to longest). The shortest sides are 6 and 13, respectively, the middle ones are 8 and 20. Because 6/13 is not equal to 8/20, the triangles are not similar.