True or false: (log x)2 = 2logx. Explain your thinking.

Answer:

140000

Step-by-step explanation:

1.4x10^5

=140000

hope this helps

A scatter plot shows the association between the variables it measures

The association shown on the graph between x and y is (d) No association

From the graph, we can see that the points on the plot are scattered, and they do not follow any pattern

This means that, there is no association between the x and y variables

Hence, the true statement is (d) No association

Read more about association at:

https://brainly.com/question/2749543

Answer:

r = 1

Step-by-step explanation:

8 - 6r + 3 = 5

Combine like terms

11 - 6r = 5

Subtract 5 from both sides

6 - 6r = 0

Add 6r to both sides

6 = 6r

Divide both sides by 6

1 = r

Answer:

vertically opposite angles

Answer:

it's is a vertical angel they are equal each other ( = )

\(1 = 2\)

Answer:

f(x) =x^2 - 3x^2 - 6x + 8.

Step-by-step explanation:

Explanation

We are to first find the inverse of the function:

To do so, we will follow the steps below:

Step 1:

Step2: Interchange x with y

Step 3: solve for y

Thus, the inverse of the function is

Part 2

Simplifying further

Also

Simplifying further

To work out the determinant of a 3×3 matrix:

Multiply a by the determinant of the 2×2 matrix that is not in a's row or column

Likewise for b, and for c

sum them up, but remember the minus in front of the b

_____________________________________________________

Hope this helps, stay safe, have a good day :D

Answer: it’s C

Step-by-step explanation:

just took the assignment

The sampling distribution of the sample mean c. is the probability distribution showing all possible values of the sample mean. The standard error of the proportion will become larger as d. p approaches .5

The sampling distribution of the sample mean is the probability distribution of the possible values of the sample mean, given a certain sample size and population distribution. It is a theoretical construct that describes how the sample mean is likely to vary across different samples of the same size, drawn from the same population. The sampling distribution of the sample mean is approximately normal, with the mean equal to the population mean and a standard deviation known as the standard error.

The standard error is a measure of the variability of a statistic, such as the sample mean.

Learn more about standard error here: https://brainly.com/question/1191244

#SPJ4

Answer:

  a) see attached

  b) 15015 meters

Step-by-step explanation:

You want the voltage, current, resistance, and power for each component of the circuit shown in the diagram.

The relevant circuit relations are ...

Given current and resistance for element 1, we immediately know its voltage is ...

  V = IR = (4)(10) = 40 . . . . volts

Given the voltage on element 3, we know that parallel element 2 has the same voltage: 30 volts.

Given the voltage at T is 90 volts, the sum of voltages on elements 1, 2, and 4 must be 90 volts. That means the voltage on element 4 is ...

  90 -(40 +30) = 20

The current in elements 1, 4, and T are all the same, because these elements are in series. They are all 4 amperes.

That 4 ampere current is split between elements 2 and 3. The table tells us that element 2 has a current of 1 ampere, so element 3 must have a current of ...

  4 - 1 = 3 . . . . amperes

The resistance of each element is the ratio of voltage to current:

  R = V/I

Dividing the V column by the I column gives the values in the R column.

Note that power source T does not have a resistance of 22.5 ohms. Rather, it is supplying power to a circuit with an equivalent resistance of 22.5 ohms.

Power is the product of voltage and current. Multiplying the V and I columns gives the value in the P column.

Note that the power supplied by the source T is the sum of the powers in the load elements.

We found that the transmitter is receiving a power of 90 watts, so its operating frequency is ...

  (90 W)×(222 Hz/W) = 19980 Hz

Then the wavelength is ...

  λ = c/f

  λ = (3×10⁸ m/s)/(19980 cycles/s) ≈ 15015 m/cycle

The wavelength of the broadcast is about 15015 meters.

__

Additional comment

The voltage and current relations are "real" and used by circuit analysts everywhere. The relationship of frequency and power is "made up" specifically for this problem. You will likely never see such a relationship again, and certainly not in "real life."

Kirchoff's voltage law (KVL) means the sum of voltage rises (as at T) will be the sum of voltage drops (across elements 1, 2, 4).

Kirchoff's current law (KCL) means the sum of currents into a node is equal to the sum of currents out of the node. At the node between elements 1 and 2, this means the 4 amps from element 1 into the node is equal to the sum of the currents out of the node: 1 amp into element 2 and the 3 amps into element 3.

As with much of math and physics, there are a number of relations that can come into play in any given problem. You are expected to remember them all (or have a ready reference).

<95141404393>

To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

To learn more about Hypothesis test - brainly.com/question/29996729

#SPJ11

To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

To learn more about Hypothesis test - brainly.com/question/29996729

#SPJ11

Answer:The answer is (4 x -1)

Step-by-step explanation: How to solve this is tell the teacher I don’t know

The lengths of the sides and the measure of the interior angles of the

three triangles determines which of the triangles are congruent.

Correct response;

According to Side-Side-Side postulate, two triangles are congruent if

the lengths of the three sides of one triangle are equal to the lengths of

the three sides of the other triangle

The lengths of the sides of the second triangle  are;

The side length of the third triangle are;

Therefore; the second and the third triangles are congruent.

However, the side lengths of the first triangle are;

Given that the two of the sides of the first triangle are equal to 2.6

centimeters, while non of the sides of the second and third triangle are

equal, we have;

Learn more about the rules of congruency here;

https://brainly.com/question/8531982

I am sorry, I am late but for future people here is the answer. :))

As the given point is (60,-20), among the options the proportional relationship can be seen in (-30,10). As the points is just the half of the given cordinates.

Answer:

G must be less than four

Step-by-step explanation:

12 (4) = 48 Therfore, any value less than 4 will make the inequality correct

For example, 12 (3.9999999) = 47.9999988 < 48

Therfore, any rational number less than positive 4 will serve as a possible value for g

The critical value of t for constructing a 99% confidence interval with a sample size of 30 and a sample standard deviation of 0.05 is 2.7564.

A confidence interval is a range of values within which the population parameter is estimated to lie with a certain level of confidence. In this case, we are constructing a 99% confidence interval for the population mean. The critical value of t is used to determine the width of the confidence interval.

The formula for calculating the confidence interval for the population mean is:

Confidence interval = sample mean ± (critical value) * (standard deviation of the sample / square root of the sample size)

Given that the sample size is 30 (n = 30) and the standard deviation of the sample is 0.05 (S = 0.05), we need to find the critical value of t for a 99% confidence level. The critical value of t depends on the desired confidence level and the degrees of freedom, which is equal to n - 1 in this case (30 - 1 = 29). Looking up the critical value in a t-table or using statistical software, we find that the critical value of t for a 99% confidence level with 29 degrees of freedom is approximately 2.7564.

Therefore, the 99% confidence interval for the population mean would be calculated as follows: sample mean ± (2.7564) * (0.05 / √30). The final result would be a range of values within which we can be 99% confident that the true population mean lies.

To learn more about interval click here: brainly.com/question/29126055

#SPJ11

The conjecture is that the angles opposite each other in a quadrilateral formed by two pairs of parallel lines are congruent.

In a quadrilateral formed by two pairs of parallel lines, the conjecture is that the angles opposite each other are congruent.
When two lines are parallel, any transversal intersecting those lines will create corresponding angles that are congruent. In the case of a quadrilateral formed by two pairs of parallel lines, there are two pairs of opposite angles.

Consider a quadrilateral ABCD, where AB || CD and AD || BC. The opposite angles in this quadrilateral are angle A and angle C, as well as angle B and angle D.
By the property of corresponding angles, when two lines are cut by a transversal, the corresponding angles are congruent. Since AB || CD and AD || BC, we can say that angle A is congruent to angle C, and angle B is congruent to angle D.
Therefore, the conjecture is that the angles opposite each other in a quadrilateral formed by two pairs of parallel lines are congruent.

Learn more about quadrilateral here:

https://brainly.com/question/29934440

#SPJ11

Let:

A = Annual income

M = Monthly income

N = Number of months in the year

So, the annual income will be given by the monthly income multiplied by the number of months:

Solve for M:

Divide both sides by 12:

Answer:

$2875

The null hypothesis (H0) when testing for normality is:

H0 states that the values are sampled from a population that follows a normal distribution.

When testing for normality, the null hypothesis (H0) assumes that the data in the sample is derived from a population that follows a normal distribution. In other words, it assumes that the underlying population from which the sample is taken is normally distributed.

The purpose of testing for normality is to assess whether the data deviates significantly from a normal distribution. By assuming the null hypothesis, we aim to determine whether there is enough evidence to reject it and conclude that the data does not follow a normal distribution.

The other statements provided in the answer choices are not directly related to the null hypothesis when testing for normality. Statements such as "there is not statistically significant difference between two samples" or "if the data is normal, we can be certain that the data in different samples are similar" are not specific to testing for normality.

The null hypothesis (H0) when testing for normality states that the values are sampled from a population that follows a normal distribution. This hypothesis is tested using various statistical tests and techniques to assess the normality assumption of the data.

To know more about null hypothesis, visit

https://brainly.com/question/4436370

#SPJ11

The given system of differential equations is:

x'(t) = -95x + 53y - 2xy

y'(t) = -185x - 203y - xy

To solve this system, we can use various methods such as substitution or matrix methods. Let's solve it using the matrix method.

We can rewrite the system of differential equations in matrix form as:

X' = AX

where X = [x y]', X' = [x'(t) y'(t)]', and A is the coefficient matrix:

A = [[-95 53], [-185 -203]]

To find the solutions, we need to find the eigenvalues and eigenvectors of matrix A. The eigenvalues are the roots of the characteristic equation det(A - λI) = 0, where I is the identity matrix. Solving this equation gives us the eigenvalues λ1 = -100 and λ2 = -198.

Next, we find the eigenvectors associated with each eigenvalue. For λ1 = -100, the corresponding eigenvector is [2 1]'. For λ2 = -198, the corresponding eigenvector is [-1 1]'.

Therefore, the general solution of the system of differential equations is:

X(t) = c1e^(-100t)[2 1]' + c2e^(-198t)[-1 1]'

where c1 and c2 are constants determined by initial conditions.

In summary, the solution to the system of differential equations is given by X(t) = c1e^(-100t)[2 1]' + c2e^(-198t)[-1 1]', where c1 and c2 are constants determined by the initial conditions.

Learn more about matrix method here: brainly.com/question/31504272

#SPJ11

Answer: 1 tablespoon

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

a) The 36000 -23000 = 13000 difference in salary is being made up at the rate of 3000 -2000 = 1000 per year. It will take 13000/1000 = 13 years for the salaries to be the same.

__

b) After 13 years, the salary will be ...

  23000 +13(3000) = 23000 +39000 = 62,000 . . . dollars

  36000 +13(2000) = 36000 +26000 = 62,000 . . . dollars

Answer:

after the first company, her salary would be 48000 in 5 years

after the second company, her salary would be 48000 in 4 years

Step-by-step explanation:

is this a real question cause the awnser is fire

Answer:

f(x) = (x/8)^2       for x ≥ 0

Step-by-step explanation:

y = 8 sqrt x      switch   x and y

x = 8 sqrt y       now solve for y

(x/8)^2 = y

The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

Answer:

6 ft

Step-by-step explanation:

slope = \(\frac{rise}{run}\) ( rise is vertical height and run is horizontal distance )

here vertical height = 3 and slope = \(\frac{1}{2}\) , then

\(\frac{1}{2}\) = \(\frac{3}{run}\) ( cross- multiply )

run = 2 × 3 = 6 ft

This was a wrong answer, Sorry.

Answer:

75

Step-by-step explanation:

if 15 is no more than a number t divided by 5 then you multiply 15 by 5 giving you the answer for t.

15=t/5

15*5=t

t=75