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4 years ago

Find the linear transformation model of log y^=0.6021

1 answer:

7 0

In its current format, the equation is in a logarithmic equation.
To convert to a linear equation the log transformation must be removed.
To remove the log transformation, one must multiply both sides of the
equation by the "opposite" or "reverse" of the log function.
Since it is not otherwise indicated, it can be assumes this is a base 10 log.
To reverse a base 10 log the function is converted to 10^x, where x is the function.
Therefore:
log y=0.6021
10^(log y)=10^(0.6021)
y=10^(0.6021)
y=4

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If x+y=5,then what is the value of x3+y3+15xy

a_sh-v [17]

Answer:

125

Step-by-step explanation:

x + y = 5

We need to have x^3 and y^3 in the expression, so cube both sides.

(x + y)^3 = 5^3

Expand the left side.

(x + y)(x + y)^2 = 125

(x + y)(x^2 + 2xy + y^2) = 125

x^3 + 2x^2y + xy^2 + x^2y + 2xy^2 + y^3 = 125

x^3 + 3x^2y + 3xy^2 + y^3 = 125

Now we need to separate x^3 + y^3.

x^3 + y^3 + 3x^2y + 3xy^2 = 125

We need to turn 3x^2y + 3xy^2 into 15xy.

Factor the GCF, 3xy, out of 3x^2y + 3xy^2.

x^3 + y^3 + 3xy(x + y) = 125

We know that x + y = 5, so substitute x + y with 5.

x^3 + y^3 + 3xy(5) = 125

x^3 + y^3 + 15xy = 125

Answer: 125

5 0

3 years ago

What is the gcf of 30/72

mestny [16]

Answer:

There are 4 common factors of 30 and 72, that are 1, 2, 3, and 6. Therefore, the greatest common factor of 30 and 72 is 6.

Step-by-step explanation:

84/18=14/3

60/32=15/8

8 0

2 years ago

lysha is at a local library with her best friend. they've noticed a lot of cute boys in the library, and alysha bets that of the

Annette [7]

Using the binomial distribution, there is a 0.1201 = 12.01% probability that Alysha will win the bet.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

For this problem, the parameters are given as follows:

n = 20, p = 0.5.

She wins the bet if there are 12 boys, hence the probability is P(X = 12), found as follows:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 12) = C_{20,12}.(0.5)^{12}.(0.5)^{8} = 0.1201$

0.1201 = 12.01% probability that Alysha will win the bet.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

7 0

1 year ago

*BRAINLIEST* (Easy Question: Warm UP) Find a positive solution to each equation: x2 = 9/4?

prisoha [69]

Answer:

Step-by-step explanation:

<u>Given</u>

x² = 9/4

<u>Solving</u>

Take the square root on both sides
√x² = √9/4
⇒ x = 3/2
<u>Option A is the correct option.</u>

7 0

2 years ago

Read 2 more answers

Reptile [31]

We know, 1 ounce = 29.57 ml

so, 64 ounces = 1892.71 ml

so, remaining drink would be: 1892.71-700 = 1192.71 ml

5 0

3 years ago