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Marrrta [24]
2 years ago
8

Which is the correct expansion of (3x+2)(3x^2+4)

Mathematics
2 answers:
LiRa [457]2 years ago
8 0

Answer:

9x^3 + 6x ^2 + 12x + 8

Step-by-step explanation:

Do each individually.

First (3x^2)(3x) = 9x^3

Then (3x^2)(2) = 6x^2

Then (3x)(4) = 12x

Then (4)(2) = 8

Finally add everything together, since everything has a different exponent, then just combine like I have above.

Novay_Z [31]2 years ago
6 0

Answer:6x + 3x^2 +4

depending on what your on

Step-by-step explanation:

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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8 sin(x
V125BC [204]

Answer with explanation:

The equation of two curves are

y=8 sin x

y=8 cos x

The point of intersection of two curves are

→8 sin x=8 cos x

sinx = cos x

x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2}

When you will look between points , 0 and x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2},the curve obtained is right angled triangle.

Now, rotate the curve that is right angled triangle along the line , y= -1, to obtain a shape similar or resembling with Right triangular prism.

Draw a circular disc in the right triangular prism , having radius =x,and small part on the triangle having length dx.dx varies from 0 to \frac{\pi}{4}.

Required volume of solid obtained

    =\int\limits^{\frac{\pi}{4}}_0 {8 \sin x} \, dx \\\\=|-8\cos x|\left \{ {{x=\frac{\pi}{4}}} \atop {x=0}} \right.\\\\=8-4\sqrt{2}

    =8-4√2 cubic units    

5 0
2 years ago
► 00:00
SSSSS [86.1K]

Answer:

16 oz, 12 oz, 4 oz

Step-by-step explanation:

Since 1 pound is equal to 16 ounces, and you can only use each weight once or not at all, you can determine how much is needed by simply adding.

2 pounds is equal to 32 ounces.

To achieve 32 ounces, you can use a 16 ounce weight, which will then bring the scale to need 16 ounces.

After this you can youse a 12 ounce weight, which brings it down to 4 ounces.

The last weight needed is the 4 ounce weight which will then level out the balance scale.

8 0
3 years ago
.A bacteria culture grows at a rate of 20%
Zolol [24]

The number of the specimens would be in the culture after 5 minutes will be 7,962.62.

<h3>What is an exponent?</h3>

Consider the function:

y = a (1 + r) ˣ

Where x is the number of times this growth occurs, a = initial amount, and r = fraction by which this growth occurs.

A bacteria culture grows at a rate of 20% per minute.

If the culture initially has 3,200 bacteria specimens.

Then the equation will be

y = 3200 (1 + 0.2) ˣ

y = 3200 (1.20) ˣ

Then the number of the specimens would be in the culture after 5 minutes will be

y = 3200 (1.20)⁵

y = 7962.62

More about the exponent link is given below.

brainly.com/question/5497425

#SPJ1

5 0
2 years ago
Solve for n. (10 5/8 + 3 5/8) + 2 3/8 = n + 12
Brums [2.3K]
I think n is 9 hope i helped 
8 0
2 years ago
Read 2 more answers
Find the square root of 256 an cube root of 729​
bekas [8.4K]

Answer:

i)16

ii)9

Step-by-step explanation:

\sqrt{256} \\=\sqrt{16*16} \\=16\\\\ii)\ \sqrt[3]{729}\\ =\sqrt[3]{9*9*9} \\=9

6 0
3 years ago
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