Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x.

Testing for within × within and between × within moderation using random intercept cross-lagged panel models "allow measurement decomposition into between- & within components and have thus are becoming famous for testing developmental hypotheses."

Cross lagged panel design is a form of structural equation model in which data is gathered at a number of points in time. It is primarily used to assess causal relationships (which may be bi-directional) in a non-experimental setting, where variables are not controlled but simply recorded.

According to cross-lagged panel design analysis:

If we understand that X and Y are correlated but with us data shows no conclusive correlation (neither rX1Y2 or rX2Y1 are significantly different from zero), it is possible that our time lag was just too short (or too long) to enable causal influences to operate, and we need to redesign our experiment.

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Answer:

Answer 2 1/7 +3/7(3x-5)= -4

            2 1/7 + 9/7x-15/7= -4

           0+ 9/7x = -4

               x= -28/9

Step-by-step explanation:

Based on the context, the range of this function is given by: C. [−7, 7]

A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range refers to the set of all possible output numerical values, which are shown on the y-axis of a graph.

The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of function f(x) shown, we can infer and logically deduce the following:

Range = [−7, 7]

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Answer:

- 4+23e

Step-by-step explanation:

The simplified form of the expression is a⁻¹²/8b⁶

From the question, we are to simplify the given expression

The expression is

a raised to the negative fourth power over quantity 2 times b squared end quantity all cubed

That is,

(a⁻⁴/2 × b²)³

Simplifying the expression

(a⁻⁴/2 × b²)³

= a⁻⁴ˣ³/(2³ × b²ˣ³)

= a⁻¹²/(8 × b⁶)

= a⁻¹²/8b⁶

Hence, the simplified form of the expression is a⁻¹²/8b⁶

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Answer: 7.247 x 10^6

Step-by-step explanation:

(7.26x10^6)-(1.3x10^4)

⇒ 7.247 x 10^6

Scientific notation of given expression = 7.247× 10⁶

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.

For example,

650,000,000 can be written in scientific notation as 6.5 ✕ 10⁸.

Given expression

(7.26x10⁶)-(1.3x10⁴)

It can be written as

= (7.26×1000000) - (1.3 × 10000)

= 7260000 - 13000
= 7247000

= 7.247× 10⁶

Hence,  7.247× 10⁶ is the scientific notation of given expression.

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Applying the angle addition postulate, the measure of angle ROS is: 16°

Given the following angle measures:

m<QOS = 49°

m<POR = 56°

m<POQ = 23°

Find the measure of  angle QOR:

m<QOR = m<POR - m<POQ [angle addition postulate]

Substitute the values into the equation

m<QOR = 56 - 23

m<QOR = 33°

Find the measure of angle ROS:

m<ROS = m<QOS - m<QOR [angle addition postulate]

Substitute the values into the equation

m<ROS = 49 - 33

m<ROS = 16°

Therefore, applying the angle addition postulate, the measure of angle ROS is: 16°

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Answer:

It would still be 1408

Step-by-step explanation:

There are no decimal points to round to the nearest hundreth

Answer:

1408.00

Step-by-step explanation:

1408.00    ==>the underlined digit which is 1 digit away from the decimal is the hundredth digit.

The expression of 15km as a percentage of 120km as required in the task content is; 12.5%

Since it follows from convention that a percentage is a representation of an entity as a fraction of a hundred partitions.

On this note, the percentage representation is such that;

15km of 120km is;

(15/120) × 100%

0.125 × 100%

= 12.5%.

Ultimately, 15km is 12.5% of 120km.

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Answer:

y=231/10

Step-by-step explanation:

First you want to add 2/5 to 15.

Now you will have 2/3y=77/5

Now you want to mulitply both sides 3/2

3/2*2y/3=3/2*77/5

Then you will get y=231/10.

The box of chocolates which contain 12.5% caramels has C. 40 pieces of chocolate in the box.

To solve this exercise the percentage formula and the procedure to be applied is as follows:

n= (% * nt) / 100

Where

Information about the problem:

Using the percentage formulate and isolating the total of the number portion (nt), we get:

n= (% * nt) / 100

nt = (n*100) / %

nt = (5 * 100) / 12.5

nt = 40

C. There are 40 pieces of chocolate in the box.

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

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The gradient is -4/5, so the equation is of the form

[tex]y=-\frac{4}{5}x+c[/tex]

Substituting in the coordinates (4, -2),

[tex]-2=-\frac{4}{5}(4)+c \\ \\ c=\frac{6}{5} \\ \\ \therefore y=-\frac{4}{5}x+\frac{6}{5}[/tex]

There are 36 males and 45 females in the sales field.

Ratio of the number:

Ratios compare two numbers, usually by dividing them.

For example,

If you are comparing one data point (A) to another data point (B), your formula would be

=> A/B.

This means you are dividing information A by information B.

Given.

Suppose that the ratio of males to females in the sales field of a large company is 4:5.

Total number of representatives = 81.

Now, we need to find the number of males and number of females.

Let x be the number of representatives.

So, based on the ratio we have written this as,

=> 4x : 5x = 81

So, the total number of representatives is,

=> 4x + 5x = 81

=> 9x = 81

=> x = 81/9

=> x = 9

So, the number of males is

=> 4x => 4(9) = 36

And the number of females is,

=> 5x => 5(9) = 45

Therefore, there are 36 males and 45 females in the sales field.

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1 2/5 and 2 2/5 are  two mixed numbers added together equals 3 4/5.

What is a mixed fraction?

What is a mixed number improper fraction?

A mixed fraction is one that has both a correct fraction and a whole number portion, and whose value is consistently greater than 1.

= 1 2/5 + 2 2/5

= 7/5 + 12/5

= 19/5

= 3 4/5

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The consecutive even integers are 8, 10 and 12.

Let the integers be x, x + 2, and x + 4.

Therefore, the equation will be:

6(x) = x + 2 + x + 4 + 26

6x = 2x + 32

Collect like term

6x - 2x = 32

4x = 32

Divide

x = 32/4.

x = 8

The numbers are 8, 10 and 12.

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The equation of the straight line is 8x - y = 85.

It is given that the slope of the line is 8 and passes through the point (3,11).

We have to find the equation of the line.

We know that,

Equation of a line is :-

[tex]y -y_1 = m (x - x_1)[/tex]

Where,

x and y are variables

m is the slope of the line

[tex](x_1,y_1)[/tex] are the coordinates of the point that passes through the line.

Here,

[tex](x_1,y_1)[/tex] = (3,11)

m = 8

Hence,

Equation of the line = y - 3 = 8(x - 11)

y - 3 = 8x - 88

8x - y = -3 + 88

8x - y = 85

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Answer: I believe the answer is 86.884

Step-by-step explanation:

Answer:

option  3

Step-by-step explanation:

C: An expression that reads three times ten, plus four times one, plus five times one-tenth, plus six times one-hundredth, plus seven times one-thousandth

Answer: x=-1.75

Step-by-step explanation:

(6x +12) -2(x-7)= 19

6x+12-2x-(-14)=19

6x+12-2x+14=19

6x-2x+12+14=19

4x+26=19

4x+26-26=19-26

4x=-7

x=-7/4

x=-1.75

The cost of renting the bike will rise at a rate of (B) $2.5 per hour as the number of rent hours increases.

To find what is the rate of change in the cost to rent the bike with respect to the number of rent hours:

Therefore, the cost of renting the bike will rise at a rate of (B) $2.5 per hour as the number of rent hours increases.

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The correct question is given below:

To rent a bike, Max pays a flat rate of $5 plus an hourly rental fee. The graph shows the amount, C, in dollars, that Max pays based on the number of hours, t, that Max rents the bike. What is the rate of change in the cost to rent the bike with respect to the number of rental hours?

(A) $5 per hour

(B) $2.50 per hour

(C) $2 per hour

(D) $7.50 per hour

Answer:

2

Step-by-step explanation:

The required requirement of the density curve is should be equal to 1 and the ordinate should not be zero.

Given that,
Two requirements of a density curve are to be determined.

A density curve is defined as a curve on a graph that represents the distribution of values in a dataset.

Here,

The two requirements of a density curve should be,

a. The area under the density curve should be equal to 1.

b. The ordinate of the curve should not be zero i.e. they should always have the vertical height.

Thus, the required requirement of the density curve is mentioned above.

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Answer:

s=2,−10

Step-by-step explanation:

Find all solutions for s by breaking the absolute value into the positive and negative components.

Answer: The cat has left over the milk is 3.625 cups

Step-by-step explanation:

Amount of cups of milk=3(7/8) cups

That means, 3(7/8) cups= 31/8 cups

Amount of milk cat gave=1/4 cups

The amount of left over the milk :

Subtract with this values

=(31/8) -(1/4)

=3.875-0.25

=3.625

The cat has left over the milk is 3.625 cups

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Answer:

[tex]30 \div 5[/tex]

Way A

• 5 divided by 0 is 0.

• 5 divided by 3 is 0.6, flip the number, and you get 6.

Way B

• Divide 30 by 5 to get 6.

Answer:

In linear algebra, an augmented matrix is a matrix obtained by appending the columns of two given matrices, usually for the purpose of performing the same elementary row operations on each of the given matrices.

Step-by-step explanation:

Answer: 12:2, 18:3, 24:4

Step-by-step explanation: You can multiply 6 by 2, 3, and 4 because the graph has 4 columns. Then multiply the top by 2, 3, and 4,

Answer: Yes

Step-by-step explanation: can be written as 6 17/50

Answer: yes because its a terminating number

The correlation is a significant non-zero value.

The number of samples is n.

n = 25

The correlation of the coefficient is r.

r = -0.40

When correlation is significant,

[tex]H _{0} : p = 0[/tex]

When correlation is non-zero,

[tex]H _{ \alpha } : p ≠0[/tex]

The test statistic is,

[tex]TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } [/tex]

[tex] = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } [/tex]

[tex] = \frac{ - 1.918 }{ \sqrt{0.84} } [/tex]

= -2.093

The test statistic is -2.093.

The correlation is,

[tex]H _{ \alpha } : - 2.93 ≠0[/tex]

The correlation is not equal to zero and is significant.

Therefore, the correlation is a significant non-zero value.

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