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FrozenT [24]
3 years ago
15

An industrial printing machine printed 2104 pages in 8 minutes. How many pages did it print in one minute?​

Mathematics
1 answer:
mina [271]3 years ago
5 0

Answer:

263 pages

Step-by-step explanation:

You divide the 2104 by 8 to get how much it done in 1 minutes

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The radius of the base of the cylinder is 2x cm and the height of the cylinder is h cm.
valentina_108 [34]

Answer:

h = 9x

Step-by-step explanation:

Given: i. for the cylinder, base radius = 2x cm, height = h cm

           ii. for the sphere, radius = 3x cm

           iii.  volume of the cylinder = volume of the sphere

volume of a cylinder is given as;

volume = \frac{1}{3}\pir^{2}h

where: r is its base radius and h the height

volume of the given cylinder = \frac{1}{3}\pi x (2x)^{2} x h

                                              = \frac{1}{3}\pi x 4x^{2} x h

                                              = \frac{4}{3}\pix^{2} h

volume of a sphere = \frac{4}{3}\pir^{3}

where r is the radius.

volume of the given sphere =  \frac{4}{3}\pi x (3x)^{3}

                                         =  \frac{4}{3}\pi x 9 x^{3}

                                         = 12\pix^{3}

Since,

volume of the cylinder = volume of the sphere

Then we have;

\frac{4}{3}\pix^{2} h = 12\pix^{3}

4\pix^{2} h = 36\pix^{3}

subtract x^{2} from both sides

4\pih = 36\pix

divide both sides by 4\pi

h = \frac{36\pi x}{4\pi }

  = 9x

h = 9x

5 0
3 years ago
What is the following product?
devlian [24]

Answer: Last Option

4x^5\sqrt[3]{3x}

Step-by-step explanation:

To make the product of these expressions you must use the property of multiplication of roots:

\sqrt[n]{x^m}*\sqrt[n]{x^b} = \sqrt[n]{x^{m+b}}

we also know that:

\sqrt[3]{x^3} = x

So

\sqrt[3]{16x^7}*\sqrt[3]{12x^9}\\\\\sqrt[3]{16x^3x^3x}*\sqrt[3]{12(x^3)^3}\\\\x^2\sqrt[3]{16x}*x^3\sqrt[3]{12}\\\\x^5\sqrt[3]{16x*12}\\\\x^5\sqrt[3]{2^4x*2^2*3}\\\\x^5\sqrt[3]{2^6x*3}\\\\4x^5\sqrt[3]{3x}

6 0
3 years ago
Please help and please show work<br>will give brainlyist
Komok [63]

If I am understanding this right, since the <em>c </em>is a variable, you'd have to solve the equation and have the variable in the and result.

the sqrt525^7 = 3359983566.19

So you'd have to simplify this and add the <em>c</em> to the end of it. Unless your work is fractions.

(I take Algebra II I should be more confident on this topic, this is just what makes the most sense)

7 0
3 years ago
Read 2 more answers
Based on the 2009 season, the Texas Rangers have a winning percentage of .533. Use the binomial model to find the probability th
Naddik [55]

Answer:

0.128

Step-by-step explanation:

We know the probability for any event X is given by,

P(X=x)=\binom{n}{x}\times p^{n-x}\times q^{x},

where p is the probability of success and q is the probability of failure.

Here, we are given that p = 0.533.

Since, we have that q = 1 - p

i.e. q = 1 - 0.533

i.e. q = 0.467

It is required to find the probability of 4 wins in the next 5 games i.e. P(X=4) when n = 5.

Substituting the values in the above formula, we get,

P(X=4)=\binom{5}{4}\times 0.533^{5-4}\times 0.467^{4}

i.e. P(X=4)=5 \times 0.533 \times 0.048

i.e. P(X=4)=5 \times 0.533 \times 0.048

i.e. i.e. P(X=4)=0.128

Hence, the probability of 4 wins in the next 5 games is 0.128.

8 0
3 years ago
Read 2 more answers
What is 12- (-8) +7 in integers
Irina-Kira [14]

Answer:

12+8+7=27

Step-by-step explanation:

just normal addition

4 0
2 years ago
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