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4 years ago

Array with 2 rows of 5

1 answer:

3 0

Answer:Instinctively one thinks geometrically: horizontal (X) axis and then vertical (Y) axis. This is not, however, the case with a 2D array, rows come first and then columns. Consider the following analogy: in geometry one walks to the ladder (X axis) and climbs it (Y axis).

Step-by-step explanation:

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Plźzzz help me ... I'll give brainliest

fgiga [73]

Answer:

$\displaystyle x = \frac{1}{3}$ .

Step-by-step explanation:

Consider the double angle identity for tangents:

$\displaystyle \tan(2\theta) = \frac{2\tan{\theta}}{1 - \tan^{2}{\theta}}$ .

Also, for two complementary angles,

$\displaystyle \tan{\left(\frac{\pi}{2} - \theta \right)} = \frac{1}{\tan{\theta}}$ .

Subtract $\tan^{-1}(x + 1)$ from both sides of this equation:

$\displaystyle 2\tan^{-1}{x} = \frac{\pi}{2} + (-\tan^{-1}(x + 1))$ .

Take the tangent of both sides of this equation:

$\displaystyle \tan(2\tan^{-1}{x}) = \tan\left(\frac{\pi}{2} -\tan^{-1}\left(x + 1\right)\right)$ .

Apply the double-angle identity to the left-hand side of this equation:

$\displaystyle \tan(2\tan^{-1}{x}) \implies \frac{2\tan(\tan^{-1}x)}{1 - \tan^{2}(\tan^{-1}x)}\implies \frac{2x}{1 - x^{2}}$ .

The two angles $\displaystyle \left(\frac{\pi}{2} + (-\tan^{-1}\left(x + 1\right))\right)$ and $(x - 1)$ are complementary. Therefore, for the right-hand side of this equation,

$\displaystyle \tan\left(\frac{\pi}{2} -\tan^{-1}\left(x + 1\right)\right)\implies \frac{1}{\tan(\tan^{-1}(x + 1))} \implies \frac{1}{x + 1}$ .

Equate the two sides of this equation:

$\begin{aligned} & \frac{2x}{1 - x^{2}} = \frac{1}{x + 1}\\ \implies & \frac{2x}{(1 - x)(1 + x)} = \frac{1}{1 + x}\\\implies & 2x = 1 - x,\; x \ne 1,\; x \ne -1\\\implies & x = \frac{1}{3}\end{aligned}$ .

5 0

3 years ago

(08.01)Which of the following questions is a statistical question?

Elena L [17]

The answer to that is A.

4 0

3 years ago

Read 2 more answers

Walnuts are 5 dollars a pound. Jack brought p pounds of walnuts and paid $25. Translate the following into a mathematical equati

Travka [436]

Answer:

7.95 per pound.

Step-by-step explanation:

8 0

3 years ago

Can you guys help me do today.

kaheart [24]

Answer:

Down Below

Step-by-step explanation:

b=0.5

g=0.8

1. 3b + 5g = ?

3×0.5+5×0.8=?

1.5+4= 5.5 cm

2. 6(3b+5g) = ?

18b + 30g
18×0.5+30×0.8

9+24= 33 cm

3. 2b + 3g

2×0.5+3×0.8
1+2.4=3.4 cm

4. 7(2b+3g)
14b + 21g
14×0.5+21×0.8
7+16.8= 23.8 cm

5. Add number 2 and 4 together
14b+21g+18b+30g= 32b+ 51g

Take numbers and add them from problems 2 and 4
23.8+33=56.8 cm

5 0

2 years ago

For the given function f(x) = 2.6x + 4.3, x is the number of years since 2000 and y (or f(x)) is the percent of students taking

dsp73

Answer:

in 2005, 17.3 percent of students are taking at least one online course

Step-by-step explanation:

f(5) = 2.6(5) +4.3 = 17.3

The definition of the function f(x) tells you that f(5) = 17.3 means 5 years after the year 2000, 17.3 percent of students are taking at least one online course.

7 0

4 years ago