A train 182m long takes 14sec to cross a signal post .calculate speed in km/hr

In Brazil, about 20 acres of rainforest are destroyed each minute. At this rate, how much rainforest is destroyed per day?

eduard

Each day <span>28800</span> acres are being destroyed per day

4 0

3 years ago

Read 2 more answers

Find the limit of the function by using direct substitution.

serg [7]

Answer:

Option a.

$\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1$

Step-by-step explanation:

You have the following limit:

$\lim_{x \to \frac{\pi}{2}{(3e)^{xcosx}$

The method of direct substitution consists of substituting the value of $\frac{\pi}{2}$ in the function and simplifying the expression obtained.

We then use this method to solve the limit by doing $x=\frac{\pi}{2}$

Therefore:

$\lim_{x \to \frac{\pi}{2}}{(3e)^{xcosx} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})}$

$cos(\frac{\pi}{2})=0\\$

By definition, any number raised to exponent 0 is equal to 1

So

$\lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}cos(\frac{\pi}{2})} = \lim_{x\to \frac{\pi}{2}}{(3e)^{\frac{\pi}{2}(0)}\\\\$

$\lim_{x\to \frac{\pi}{2}}{(3e)^{0}} = 1$

Finally

$\lim_{x \to \frac{\pi}{2}}(3e)^{xcosx}=1$

6 0

3 years ago

10

alukav5142 [94]

The answer to that would be many

8 0

3 years ago

What's 7/12 minus 3/12 simplified? BTW ONLY IN 4TH GRADE MAKE IT CLEAR

dusya [7]

7/12 - 3/12 = 1/3
Simplify each fraction if possible.
Same denominator? YES!
7 - 3 = 4
Since they have the same denominator, you just subtract the numerators.
Then simplify 4/12
4/4= 1 12/4= 3
Answer: 1/3
Hope that helps!

4 0

3 years ago

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The equation of the line WX is 2X plus Y equals -5 what is the equation of a line perpendicular to line WX in slope intercept fo

tensa zangetsu [6.8K]

Answer:

$y = \frac{1}{2}x - \frac{3}{2}$

Step-by-step explanation:

The equation of the line WX is, 2x + y = - 5

⇒ y = - 2x - 5 .......... (1)

This equation is in slope-intercept form and the slope is - 2 and the y-intercept is - 5.

Now, if a line perpendicular to equation (1) having slope m then, m × (- 2) = - 1

⇒ $m = \frac{1}{2}$

{Since the product of slopes of two mutually perpendicular straight line is - 1}

Therefore, the equation of the perpendicular line is

$y = \frac{1}{2}x + c$ , where c is a constant and we have to find it.

This above line passes through the point (-1,-2) and hence

$- 2 = \frac{1}{2}(- 1) + c$

⇒ $c = - \frac{3}{2}$

Therefore, the equation of the line will be $y = \frac{1}{2}x - \frac{3}{2}$ (Answer)

4 0

3 years ago