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2 years ago

2. Given the expression f(g(k(x))), where f, g, and k are functions, what operation should be

Mathematics

2 answers:

Allushta [10]2 years ago

7 0

Answer:

You must start with the innermost function.

First you evaluate k(x). Then you evaluate g(k(x)).

Finally you evaluate f(g(k(x))).

The order does matter. If you evaluate in a different order, you will be inputting wrong numbers into each subsequent function generating an incorrect answer.

mestny [16]2 years ago

6 0

Answer:

The order matters

Step-by-step explanation:

If you answer it in a different order, you will be inputting wrong numbers into each subsequent function generating an incorrect answer.

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A chemical company makes two brands of antifreeze. The first brand is 55 % pure antifreeze, and the second brand is 80 % pure an

Likurg_2 [28]

We have 55% and 80% antifreeze. We need 90 gallons of 75%.

F - 55% and E - 80%

A) F + E = 90

B) .55 F + .80 E = 67.50 (which is .75 * 90) Multiplying A) by -.55

A) -.55 F -.55 E = -49.50 (which is -.55 * 90) then adding A) & B)

.25 E = 18

E = 72 gallons of 80% and

F = 18 gallons of 55%

********* DOUBLE CHECK ******************

72 * .80 = 57.60 and 18 * .55 = 9.90

57.60 + 9.90 = 67.50 gallons of antifreeze and we have 90 total gallons

(67.50 / 90) * 100 = 75% correct!

Source: 1728.com/mixture.htm

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3 years ago

The surface of Josh's desk measures 2.6 feet by 2.8 feet. What is the area of the desk?

attashe74 [19]

To get the area, multiply the length x width
2.6 x 2.8 = 7.28

5 0

2 years ago

The diagram the area of the large square is one square unit 2000 new segments divide a square into 4 equal sized triangles two o

sleet_krkn [62]

The answer is 0 because it cancels itself out

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2 years ago

A food company sells salmon to various customers. The mean weight of the salmon is 37 lb with a standard deviation of 2 lbs. The

brilliants [131]

Answer:

The standard deviation for the mean weigth of Salmon is 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount order stores.

Step-by-step explanation:

The mean sample of the sum of n random variables is

$\overline{X} = \frac{X_1+X_2+...+X_n}{n}$

If $X_1, ..., X_n$ are indentically distributed and independent, like in the situation of the problem, then the variance of $X_1 + .... + X_n$ will be the sum of the variances, in other words, it will be n times the variance of $X_1$ .

However if we multiply this mean by 1/n (in other words, divide by n), then we have to divide the variance by 1/n², thus $\overkine{X} = \frac{V(X_1)}{n}$ and as a result, the standard deviation of $\overline{X}$ is the standard deviation of $X_1$ divided by $\sqrt{n}$ .

Since the standard deviation of the weigth of a Salmon is 2 lbs, then the standard deviations for the mean weigth will be:

Restaurants: We have boxes with 9 salmon each, so it will be $\frac{2}{\sqrt{9}} = \frac{2}{3}$
Grocery stores: Each carton has 49 salmon, thus the standard deviation is $\frac{2}{\sqrt{49}} = \frac{2}{7}$
Discount outlet stores: Each pallet has 64 salmon, as a result, the standard deviation is $\frac{2}{\sqrt{64}} = \frac{1}{4}$

We conclude that de standard deivation of the mean weigth of salmon of the types of shipment given is: 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount outlet stores.

7 0

2 years ago

What choices are solutions to equation below x^-7x=-24/4

RUDIKE [14]

-24/4=-6
x^-7x+6=0
(x-6)(x-1)=0
x=6 or x=1

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2 years ago