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3 years ago

What is the value of x?Enter your answer in the box.x =

Mathematics

2 answers:

Delicious77 [7]3 years ago

6 0

I’m pretty sure x equals 31

evablogger [386]3 years ago

6 0

X most likely equals 0, when finding the area of a triangle only the length and height is needed. I’m probably not correct on this one but its a possible answer

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The Hyperbolic Sine (sinh(x)) and Hyperbolic Cosine (cosh(x)) functions are defined as such: sin h(x) = e^x - e^-x/2 cosh(x) = e

labwork [276]

Answer:

y-incercepts:

sinh(x):0, cosh(x)=1

Limits:

positive infinity: sinh(x): infinity, cosh(x): infinity

negative infinity: sinh(x): - infinity, cosh(x): infinity

Step-by-step explanation:

We are given that

$\sinh(x)=\frac{e^{x}-e^{-x}}{2}$

$\cosh(x)=\frac{e^{x}+e^{-x}}{2}$

To find out the y-incerpt of a function, we just need to replace x by 0. Recall that $e^{0}=1$ . Then,

$\sinh(0) = \frac{1-1}{2}=0$

$\cosh(0) = \frac{1+1}{2}=1$

For the end behavior, recall the following:

$\lim_{x\to \infty}e^{x} = \infty, \lim_{x\to \infty}e^{-x} = 0$

$\lim_{x\to -\infty}e^{x} = 0, \lim_{x\to -\infty}e^{-x} = \infty$

Using the properties of limits, we have that

$\lim_{x\to \infty} \sinh(x) =\frac{1}{2}(\lim_{x\to \infty}e^{x}-\lim_{x\to \infty}e^{-x})=(\infty -0) = \infty$

$\lim_{x\to \infty} \cosh(x) =\frac{1}{2}(\lim_{x\to \infty}e^{x}+\lim_{x\to \infty}e^{-x}) =(\infty -0)= \infty$

$\lim_{x\to -\infty} \sinh(x) =\frac{1}{2}(\lim_{x\to -\infty}e^{x}-\lim_{x\to -\infty}e^{-x}) = (0-\infty)=-\infty$

$\lim_{x\to -\infty} \cosh(x) =\frac{1}{2}(\lim_{x\to -\infty}e^{x}+\lim_{x\to -\infty}e^{-x}) =(0+\infty)= \infty$

8 0

3 years ago

A battery was charged. When the charging began, it was 23 percent full. After 30 minutes of charging, the battery was 89 percent

AfilCa [17]

QUESTION:

A battery was charged. When the charging began, it was 23 percent full. After 30 minutes of charging, the battery was 89 percent full. how fast did the battery charge and how long did it take?

Solution :

Given

Initial amount of charge = 23%
Amount after charge = 89%

procedure

Let the rate of charging be r .

r = (change in charge level) / (time interval) = (89% - 23%) / (30 min) = 2.2 % per minute

charge = (rate of charging)(time) + (initial charge)

100% = r*t + 23%

100% = (2.2 %/min)t + 23%

Solve for t and get

t = [(100 - 23) / 2.2]

Answer = 35 min

7 0

4 years ago

A car traveled 187 miles in 4 hours and 16 minutes. What was the average speed of the car in miles per

Bas_tet [7]

Answer:

43.83mph

step-by-step-explanation

4 0

3 years ago

Name the quadrant in which the point (-4, -3) could be found on the coordinate plane

lesantik [10]

On the negative plane field? because everything on the - side is negative.

5 0

3 years ago

Given a linear equation in the form y=mx+b, what are the values of the slope and y-intercept of the equation?(1 point) The slope

slamgirl [31]

Answer:

The slope is m, and the y-intercept is b.

Step-by-step explanation:

What ever is attached to the x is the slope. The y-intercept is the b because it has a 0 on the x axis and a number on the y axis.

7 0

3 years ago