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3 years ago

Graph the logarithmic function y=log(x-4) please show work

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

5 0

Answer:

Graph shows the vertical asymptote at x nearing 4.

Explanation:

X must be more than 4 otherwise log(x-4) will be invalid;
Let us make a table of x & y
x→→log(x−4)
------- ----------------
5→→0
9→→.7
14→→1
19→→1.18
24→→1.30
Now we can plot the Graph with the value of x and y. On this Graph Vertical asymptote is at x nearing the value 4. (Graph Below)

Hope this helped :)

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This robotic arm is made up of two cylinders with equal volume and two triangular prism hands. The volume of each hand is

BaLLatris [955]

Answer:

$\frac{r}{3\pi h+r}$

Step-by-step explanation:

Since the height isn't given, we assume it to be "h" (of cylinders). And the answer will be in terms of "r" and "h".

The area of 1 arm is given, so the area of 2 arms would be:

$A_{arm}=2*(\frac{1}{2}r*\frac{1}{3}r*2r)=\frac{2r^3}{3}$

Now, area of 2 cylinders would be the formula:

$A_{cyl}=2*(\pi r^2 h)=2\pi r^2 h$

So, total area is A_arm PLUS A_cyl. The fractional area the arms are would be gotten by taking expression A_arm divided by A_total.

Shown below:

$\frac{A_{arm}}{A_{total}}=\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}$

We simplify further:

$\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}\\=\frac{\frac{2r^3}{3}}{2r^2(\pi h + \frac{r}{3})}\\=\frac{r}{3(\pi h + \frac{r}{3})}\\=\frac{r}{3\pi h+r}$

THis is the answer.

6 0

2 years ago

Read 2 more answers

Answer, please. I need help.

kumpel [21]

Answer:

2i, if you don't understand any of the steps let me know, I'd be happy to explain.

Step-by-step explanation:

$\sqrt{-x} =\sqrt{-1*x} ,\sqrt{xy}=\sqrt{x} \sqrt{y}, \sqrt{-1}=i$

so in order -4 = -1 * 4 so then $\sqrt{-1*4}=\sqrt{-1} \sqrt{4}$ then just solve each

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3 years ago

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What is the curve : y= -2x

arsen [322]

The curve is a linear equation.

<h3>What type of curve is the given equation?</h3>

It is actually a linear equation, meaning that this is a straight line, not a an actual "curve".

To view the "shape" of the curve, you need to graph it.

You could use a program or do it by hand, to do it by hand, you need to evaluate a lot of points of the equation, and then graph them to see the general behavior of the equation.

In this case, I graphed it with a program, and in the image, you can see that this is a linear equation that decreases as the variable increases.

If you want to learn more about linear equations, you can read:

brainly.com/question/4074386

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2 years ago

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I need help I will give BRAINLEST

GREYUIT [131]

Answer:

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Step-by-step explanation:

To solve this, we can use the percent change formula shown in the picture attached below. $x_{2}$ is the new value, $x_{1}$ is the old value, and $C$ represents the change. For this problem, 80 is the new value and 64 is the old value. Let's plug those numbers into the formula and solve for the percent change: