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2 years ago

Logarithm

Mathematics

1 answer:

aev [14]2 years ago

7 0

Answer:

1) (1/3)log_7(10); 3) log_8(u) - log_8(v); 5) 3ln(x)

Step-by-step explanation:

log_7(^3sqrt(10))

log_7(10^1/3)

log_a(x^b) = b * log_a(x); when x >= 0.

(1/3)log_7(10)

About 0.39443...

log_8(u/v)

log_c(a/b) = log_c(a) - log_c(b)

log_8(u) - log_8(v)

ln(x^3)

log_a(x^b) = b * log_a(x); when x >= 0.

3ln(x)

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A set of data items is normally distributed with a mean of 400 and a standard deviation of 60. Find the data item in this distri

Softa [21]

Answer:

The data item is $X = 580$

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 400 and a standard deviation of 60.

This means that $\mu = 400, \sigma = 60$

z=3

We have to find X when Z = 3. So

$Z = \frac{X - \mu}{\sigma}$

$3 = \frac{X - 400}{60}$

$X - 400 = 3*60$

$X = 580$

The data item is $X = 580$

6 0

3 years ago

No links, ty <3

levacccp [35]

Answer:

sAy yOu aRe mY bAkA

Step-by-step explanation:

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4 0

3 years ago

MARKING BRAINLEIST IF CORRECT

Anni [7]

Answer:

A) (-5,0) and (-4,0)...

8 0

2 years ago

Read 2 more answers

Express your answer as a polynomial in standard form

Bingel [31]

Answer:

f(g(x)) = 4x² + 16x + 13

Step-by-step explanation:

Given the composition of functions f(g(x)), for which f(x) = 4x + 5, and g(x) = x² + 4x + 2.

<h3>Definitions:</h3>

The polynomial in standard form has terms that are arranged by descending order of degree.

In the composition of function f with function g, which is alternatively expressed as f ° g, is defined as (f ° g)(x) = f(g(x)).

In evaluating composition of functions, the first step is to evaluate the inner function, g(x). Then, we must use the derived value from g(x) as an input into f(x).

<h3>Solution:</h3>

Since we are not provided with any input values to evaluate the given composition of functions, we can express the given functions as follows:

f(x) = 4x + 5

g(x) = x² + 4x + 2

f(g(x)) = 4(x² + 4x + 2) + 5

Next, distribute 4 into the parenthesis:

f(g(x)) = 4x² + 16x + 8 + 5

Combine constants:

f(g(x)) = 4x² + 16x + 13

Therefore, f(g(x)) as a polynomial in x that is written in standard form is: 4x² + 16x + 13.

8 0

2 years ago

Select all the correct answers.

sukhopar [10]

Answer:

Second point (-5/2, -7/2)

First point (3/2, 17/2)

Step-by-step explanation:

We have two equations, and we want to know at wich poin are equal. Hence, we have a system of equations and the solution is nothing more that the point (x,y) where those functions intercepts.

4x2+ 7x -11=y

3x+4=y

Lets use substitute method

4x2+7x-11=3x+4

This can be re arrange as the following eq:

4x2+4x-15=0

A quadratic equation, its solution can be obtained using the below eq.

$x=\frac{-b+/- \sqrt{x^{2}-4ac } }{2a}$

where a=4, b=4, c=-15.

Remember, the quadratic equation as a +/- sign, meaning that you will obtain one answer using the + operator and other using the - operator.

By doing the above, we have x=-5/2 and x=3/2

By using x=3/2 in equation of line (3x+4=y) we have y=17/2

First point (3/2, 17/2)

By using x=-5/2 in equation of line (3x+4=y) we have y= -7/2

Second point (-5/2, -7/2)

Those points are the ones where the line and the parabola intercept.

7 0

3 years ago