<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B3%7D%20%20-%204%20%7Bx%20%7D%5E%7B2%7D%20%20%2B%20x%20%2B%206" id="TexFormula1

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zavuch27 [327]

3 years ago

" title=" {x}^{3} - 4 {x }^{2} + x + 6" alt=" {x}^{3} - 4 {x }^{2} + x + 6" align="absmiddle" class="latex-formula">

Mathematics

2 answers:

SIZIF [17.4K]3 years ago

8 0

2 x2 (the second 2 is actually small)

Lena [83]3 years ago

5 0

2x2 , 3’6 =x hope i was useful

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what is "one third of a number is 12 less than the number itself" written in a n equation but not solved?

scZoUnD [109]

Let n represent the number.

1/3n = n - 12

4 0

3 years ago

What is the value of x?<br><br> Enter your answer, as a decimal, in the box.

Katarina [22]

Answer:

$x=50.6cm$

Step-by-step explanation:

Triangle MAB is similar to triangle MNP

Since the triangles are similar, the corresponding ratios are in the same proportion.

Therefore we can write the relation;

$\frac{|MB|}{|MP|}=\frac{|MA|}{|MN|}$

$\frac{x}{72.6}=\frac{46.2-14}{46.2}$

This implies that;

$\frac{x}{72.6}=\frac{32.2}{46.2}$

We multiply both sides by 72.6 to get

$\frac{x}{72.6}\times 72.6=\frac{32.2}{46.2}\times72.6$

$\Rightarrow x=50.6$

Hence the value of $x$ is 50.6 cm

8 0

3 years ago

Read 2 more answers

In the opening scene of the movie Raiders of the Lost Ark, Indiana Jones replaces a golden statue with a bag of sand. The platfo

chubhunter [2.5K]

Answer:

1920π

Step-by-step explanation:

First, you need to find the volume of the statue in terms of pi.

Volume of cylinder formula:

V=πr²h

V=π4²15

V=π16×15

V=240π

Then, you need to find the mass of the statue.

Mass:

Mass= density × volume

Mass=20×240π

Mass=4800π

Now, you need to find the volume. Since the sand has to weigh the same as the statue, the mass is going to stay the same. To find the volume you need to do:

V=mass of sand/density

V=4800π/2.5

That gives you your answer:

1920π

Note: I had to do the exact same problem on Khan Academy. This is right.

3 0

3 years ago

Which points define the solution set

Lemur [1.5K]

There is a line and a parabola in the graph.

So, we will get the solution set from the point of intersection of both line and parabola.

Notice that the parabola and the line intersecting at two points E(1, 5) and C(-0.5,2).

So, the solution set is E(1, 5) and C(-0.5,2).

8 0

3 years ago

A rectangular prism and a triangular prism each have a volume of 210 cubic meters. find possible dimensions for each prism.

Evgesh-ka [11]

An interesting question! Let's take a look at the rectangular prism first.

[Rectangular Prism]
We know that the formula for the volume of a rectangular prism is:
volume = length * width * height

or more simply
V = L*W*H

All we know is that the volume is 210 cubic meters. We can choose whatever we want for the dimensions to force it to work! We're free to do what we want!
210 = L*W*H

I like 10, that's a nice number. Let's make L = 10.
210 = 10*W*H

Hmm... but now I need W*H to be 21 (think about it, make sure you get why I say that). Well, how about W = 7 and H = 3? That should work.
210 = 10*7*3

It checks! Possible dimensions for the rectangular prism are L = 10 meters, W = 7 meters, and H = 3 meters. There are many other choices of course, but this is a possible choice.

[Triangular Prism]
Same idea, different formula. For a triangular prism, the volume is
V = 1/2 * L*W*H

But the volume is still 210 cubic meters, so we just have
210 = 1/2 * L*W*H

So, one of our dimensions is going to be cut in half. Why don't we just double L to make up for it?
210 = 1/2*(20)*W*H

And we can leave W and H the same
210 = 1/2*20*7*3

Check that it works! A possible choice is L = 20 meters, W = 7 meters and H = 3 meters.

We're done!

5 0

3 years ago