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Black_prince [1.1K]
3 years ago
14

I'm given that log4=0.602 and log12=1.079

Mathematics
2 answers:
prisoha [69]3 years ago
7 0
(log3) = log(12/4) = (log12) - (log4) = 0.477
Rudiy273 years ago
6 0

log(3) = log(12/4)

Use the quotient rule [ \text{log}_a\frac{x}{y}=log_ax-log_ay ] to simplify.

log(12/4) = log(12) - log(4)

Simplify using the given values for 12 and 4.

1.079 - 0.602

0.477

Therefore, log(12) ≈ 0.477

Best of Luck!

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Find the service area of a cylinder with a base diameter of 6ft and height of 4ft
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The service area of the cylinder is 42\pi square fts.

<h3>What is cylinder?</h3>

Two parallel bases joined by a curving surface make up the three-dimensional solid known as a cylinder.

Typically, the bases are shaped like circles. The height "h" of the cylinder stands for the perpendicular distance between the bases, while "r" stands for the cylinder's radius.

The uses of cylinder are-

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Total surface area of the cylinder formula:

It is the sum of the base surface area and the lateral surface area;

Total area = base area + lateral area , or

Total area = 2 π r² + (2 π r) h , or

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Calculation for the total area of the cylinder;

Base diameter is 6 ft

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Show work and Factor 4x^2+xy-18y^2
grigory [225]

Answer:

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Step-by-step explanation:

Let's examine the following general product of two binomials with variables x and y in different terms:

(ax+by)\,(cx+dy)= ac\,x^2+adxy+bcxy+bdy^2

so we want the following to happen:

a\,c = 4\\ad+bc=1\\bd--18

Notice as well that ad+bc =1 means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product bd=-18, then we can consider the case in which one of this  (b or d) is the negative factor. So let's then assume that a\,\,and \,\,c are positive.

We can then try combinations for  a\,\,and \,\,c  such as:

a = 4;\,\,c=1\\a=2;\,\,c=2\\a=1;\,\,c=4

Just by selecting the first one (a=4;\,\,c=1)

we get that 4d_b=1\\b=-4d-1

and since

bd=-18\\(-4d-1)\,d=-18\\-4d^2-d=-18\\4d^2+d-18=0

This quadratic equation give as one of its solutions the integer: d = -2, and consequently,

d=-18/(-2)\\d=9

Now we have a good combination of parameters to render the factoring form of the original trinomial:

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which makes our factorization:

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