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3 years ago

Is log (mn) equivalent to (log m)(log n)? YES OR NO

Mathematics

2 answers:

klasskru [66]3 years ago

7 0

No log(nm)=log(n)+log(m). this comes from the exponentiation rule (x^n)(x^m)=x^(n+m)

mamaluj [8]3 years ago

4 0

Answer:

Step-by-step explanation:

log(mn) = log(m) + log(n)

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What are the values of each variable

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Answer:

Step-by-step explanation:

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3 years ago

Nick has a box of ornaments that he uses to

Lelu [443]

Answer:

Step-by-step explanation:

6 + 6 + 6 = 18

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3 years ago

Out of 450 applicants for a job, 206 are male and 62 are male and have a graduate degree.

xxMikexx [17]

Answer:

0.3009 is the probability that the applicant has graduate degree given he is a male.

Step-by-step explanation:

We are given he following in the question:

M: Applicant is male.

G: Applicant have a graduate degree

Total number of applicants = 450

Number of male applicants = 206

$n(M) = 206$

Number of applicants that are male and have a graduate degree = 62

$n(M\cap G) = 62$

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

$P(M) = \dfrac{206}{450} = 0.4578$

$P(M\cap G) = \dfrac{n(M\cap G)}{n} = \dfrac{62}{450} = 0.1378$

We have to find the probability that the applicant has graduate degree given he is a male.

$P(G|M) = \dfrac{P(G\cap M)}{P(M)} = \dfrac{\frac{62}{450}}{\frac{206}{450}} = \dfrac{62}{206} = 0.3009$

Thus, 0.3009 is the probability that the applicant has graduate degree given he is a male.

5 0

3 years ago

Which unit is used to measure film size? pixels in cm mm

tatuchka [14]

Mm is the unit used to measure film size. It stands for millimeter.

The standard film size is 35 mm. The standard frame size of a still camera film was 24 x 36 mm.

mm is the smallest unit to measure length of an object. It is followed by cm then in and so on.

1 cm = 10 mm
1 in = 2.54 cm
1 in = 25.4 mm

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4 years ago

A candle maker has rectangular block of paraffin that is 4 centimeter high by 8 centimeter long by 6 centimeter wide. He melts i

Veronika [31]

Answer:

The candle will not use all the paraffin from the original block.

Step-by-step explanation:

The cone-shaped candle is 5 cm wide at the base i.e. the diameter of the base is 5 cm i.e. radius is 2.5 cm.

If the height of the cone is 25 cm, then total volume of the cone shaped candle is

$\frac{1}{3}\pi r^{2} h$

= $\frac{22 \times 2.5^{2} \times 25 }{3 \times 7}$

= 163.69 cubic cm.

Again, the volumes of the rectangular block of paraffin is (4 × 8 × 6) = 192 cubic cm.

Since, 192 > 163.69

Therefore, the candle will not use all the paraffin from the original block.

5 0

3 years ago