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4 years ago

What is the meaning of the function of h = f(50, t)? describe the behavior of this function?

1 answer:

4 0

Dependent variable h depends upon two independent variaables, one of which is represented by 50 and the other by the letter t. In other words, h is a function of two variables. Without further detail it is impossible to describe the behavior of this function h=f(50,t).

Suppose that h = f(x,t) = 2x - 1/t. This is my invention.

Then f(50,t) would come out as 2(50) - 1/t, which is a function of just 1 variable.

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Enzo and Zahra are playing a game. Their scores for five games are shown in the table below.

sattari [20]

Answer:

Step-by-step explanation:

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3 years ago

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What is the volume of the sphere

BabaBlast [244]

Answer:

The formula for the volume of a sphere is V = 4/3 πr³

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4 years ago

Left f(x)=x+1 and g(x)=1/x the graph of (f•g) (x) is shown below

Nikolay [14]

Answer:

Range of the function → (-∞, 1)∪(1, ∞)

Step-by-step explanation:

Two function has been given as,

f(x) = (x + 1)

and g(x) = $\frac{1}{x}$

Then (fog)(x) = f[g(x)]

Now f[g(x)] = $\frac{1}{x}+1$

As shown in the graph,

Domain of the graph is (-∞, 0) ∪ (0, ∞) [Since vertical asymptote of the function is x = 0, so x = 0 will not be included in the domain]

And the range is (-∞, 1) ∪ (1, ∞) [Since horizontal asymptote is y = 1, so y = 1 will not be included in the range]

4 0

3 years ago

Need help.....thanks so much

tatuchka [14]

Start by adding up the total sales in 2011 and 2012. You can make approximate estimates for the bars that are between lines. Since everything is in millions, you can ignore the 6 zeros behind every number to speed up your calculation:

1) In 2011, Asia sold 250, America sold 325, Europe sold ~210, Africa sold 150. The total in 2011 was 250+325+210+150 = 935.

2) In 2012, Asia sold ~130, America sold ~280, Europe sold ~230, and Africa sold ~140. The total in 2012 was 130+280+230+140=780.

Now find the percent decrease. Percentage decrease is basically what percent of your original number was subtracted from that original number to get the new number.
Percent decrease is calculated by (1) calculating the decrease from original number-new number, then (2) dividing that decrease by the original number, and then (3) multiplying your quotient by 100% to get a percentage:

1) Your original number is 935, from 2011, because that's the year you started out with. Your final number is 780, from 2012. The decrease is: 935-780 = 155.

2) Divide 155 by your original number. 155/935 ≈ 0.17

3) Finally multiply your quotient from step 2 by 100% to get your percent decrease: 0.17*100% = 17%.

The answer is A) 17.

8 0

3 years ago

How would you use the Fundamental Theorem of Calculus to determine the value(s) of b if the area under the graph g(x)=4x between

-BARSIC- [3]

The Fundamental Theorem of Calculus regarding geometry states that
$\int\limits^b_a g{(x)} \, dx = F(b)-F(a)$

Where F is the indefinite integral of $g(x)$

The first step is to integrate $g(x)$
$\int\ {4x} \, dx = \frac{4x^{1+1} }{1+1} = \frac{4x^{2} }{2} =2 x^{2}$

Then substitute the value of $b$ and $a=1$ into $2x^{2}$

$[2 (b)^{2}]-[2 (1)^{2}] = 240$
$2b^{2} -2=240$
$2b^{2}=240+2$
$2b^{2}=242$
$b^{2}= \frac{242}{2}$
$b^{2}=121$
$b=11$

Hence the limit of the area under $g(x)$ is between $a=1$ and $b=11$

6 0

3 years ago