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3 years ago

Using the change of base formula, evaluate log312 (round to the nearest hundredth).

Mathematics

1 answer:

Svetach [21]3 years ago

5 0

Answer:

2.26

Explanation:

Given: log base 3 and 12

Using the base rule, we can write it as

= log 12 / log 3

Now we can find the value of log 12 and log 3 using a calculator.

= 1.07918124 /0.477121754

=2.26

The answer is 2.26

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8,4,6,6,7,7,9,4,8,5 find the mean

koban [17]

Answer: 6.4 is the mean of the set of numbers

Step-by-step explanation:

8+4+6+6+7+7+9+4+8+5=64

64 divided by 10 = 6.4

Hope this helps!

6 0

2 years ago

Read 2 more answers

Choose the answer that validates that the rate of change is constant by showing that the ratios of the two quantities are propor

docker41 [41]

Given:

The table of values is

Number of Students : 7 14 21 28

Number of Textbooks : 35 70 105 140

To find:

The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.

Solution:

The ratio of number of textbooks to number of students are

$\dfrac{35}{7}=5$

$\dfrac{70}{14}=5$

$\dfrac{105}{21}=5$

$\dfrac{140}{28}=5$

All the ratios of the two quantities are proportional and equivalent to the unit rate.

Let y be the number of textbooks and x be the number of students, then

$\dfrac{y}{x}=k$

Here, k=5.

$\dfrac{y}{x}=5$

$y=5x$

Hence the rate of change is constant that is 5.

8 0

2 years ago

Evaluate 2.625-(-6)

Lunna [17]

2,625 - (-6) =

= 2, 625 + 6

= 8, 625

8 0

3 years ago

A can do a piece of work in 12 days, along with B, can do the work in 8 days.B alone can finish the work in how many days?

eimsori [14]

Answer:

Step-by-step explanation:

5 0

2 years ago

The 3rd term of the geometrical sequence is larger than the 2nd

notsponge [240]

Answer:the first term is 81

Step-by-step explanation:

The formula for determining the nth term of a geometric sequence is expressed as

Tn = ar^(n - 1)

Where

Tn represents the nth term

n represents the number of terms

r represents the common ratio

The 3rd term of the geometrical sequence is larger than the 2nd

term by 36. This means that

T3 - T2 = 36 - - - - - - - - - - 1

The product of these two terms is -243. This means that

T2 × T3 = - 243

T2 = - 243/T3

Substituting T2 = - 243/T3 into equation 1, it becomes

T3 - (- 243/T3) = 36

T3 + 243/T3 = 36

T3^2 + 243 = 36T3

T3^2 - 36T3 + 243 = 0

T3^2 - 27T - 9T3 + 243 = 0

T3(T3 - 27) - 9(T3 - 27) = 0

T3 - 9 = 0 or T3 - 27 = 0

T3 = 9 or T3 = 27

Substituting T3 = 9 or T3 = 27 into

T2 = - 243/T3 = 27, it becomes

T2 = - 243/9 or - 243/27

T2 = - 27 or T2 = - 9

Therefore,

The 3rd term is 9

The 2nd term is - 27

The common ratio, r would be

T3/T2 = 9/-27 = - 1/3

The expression for the third term would be

9 = a × - 1/3^(3 - 1)

9 = a × (- 1/3)^2

9 = a × 1/9

a = 9 × 9 = 81

3 0

2 years ago