All categories

2 years ago

What is the equivalent to log(b^3/a)

Mathematics

1 answer:

Anastaziya [24]2 years ago

5 0

Step-by-step explanation:

log(b³/a)

= logb³ - loga

= 3logb - loga

You might be interested in

What is the average (arithmetic mean) of the first 90 measurements in a certain list of 92 measurements? (1) the average of the

marishachu [46]

The sum of all the measurements is just the average times the number.

$\bar x = \frac{1}{n} \sum_{i=1}^n x_i$

$\sum_{i=1}^n x_i = n \bar x$

So if the average of all 92 is 7 the sum of those is $92 \times 7$

The average of the last two is 7.2 so their sum is $2 \times 7.2$

That means the sum of the first 90 is $92 \times 7 - 2 \times 7.2$

so the average of the first 90 is

$\dfrac{92 \times 7 - 2 \times 7.2}{90} = 6.99556$ cm

7 0

3 years ago

Is there a proportional relationship between x and y? Explain.

Vlad1618 [11]

I don’t think so but divide the top one by the bottom one for every one of them and if it is all the same answer they are proportional x/y

4 0

2 years ago

The manager of a shopping mall distributed a customer-satisfaction survey by handing it to people as they came through one of th

Tresset [83]

Answer:

The correct option is D. No, because a random sample from all customers of the shopping mall was not selected

Step-by-step explanation:

In statistics, Bias can be described as a term which depicts error if a sample is not taken evenly or it depicts errors taken from an unjust sampling.

In statistics, sampling bias means the errors which occur if one part of the population is favoured more then the rest of the populations. In this kind of bias, the individuals for experimentation are not chosen randomly.

As the customer satisfaction survey was distributed in only one of the gates hence, it does not give a generalized result and the result is biased.

6 0

3 years ago

Read 2 more answers

–4.5t49.5t = 40<br> Please help

dlinn [17]

Answer:

t= -0.18

Step-by-step explanation:

Isolate t to get the unknown number:

(-4.5t)(49.5t) = 40

Multiply (-4.5t)(49.5t):

(-4.5t)(49.5t) = -222.75t

Now, write full equation:

-222.75t = 40

Isolate t by dividing -222.75 on both sides:

$\frac{-222.75}{-222.75}t=\frac{40}{-222.75}$

Cancel out left hand side:

$t=\frac{40}{-222.75}$

Simplify your answer:

$t=-0.17957351$

Approximate to 2 decimals:

$t=-0.18$

5 0

3 years ago

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 3x2 − 2x + 1, [0, 2] Yes, it do

expeople1 [14]

Answer:

Yes , function is continuous in [0,2] and is differentiable (0,2) since polynomial function are continuous and differentiable

Step-by-step explanation:

We are given the Function

f(x) = $3x^2 -2x +1$

The two basic hypothesis of the mean valued theorem are

The function should be continuous in [0,2]

The function should be differentiable in (1,2)

upon checking the condition stated above on the given function

f(x) is continuous in the interval [0,2] as the functions is quadratic and we can conclude that from its graph

also the f(x) is differentiable in (0,2)

f'(x) = 6x - 2

Now the function satisfies both the conditions

so applying MVT

6x-2 = f(2) - f(0) / 2-0

6x-2 = 9 - 1 /2

6x-2 = 4

6x=6

x=1

so this is the tangent line for this given function.

4 0

3 years ago