what is an expression equivalent to m^238/m^-79 in the form m^v, where v is an integer?

The equation log3(-9) = x has no solutions because the logarithm function is not defined for negative numbers, including negative values within the parentheses. In other words, the argument of the logarithm must be positive for the equation to have a solution.

The logarithm function with base 3, denoted as log3, takes a positive number as its argument and returns the exponent to which 3 must be raised to obtain that number. However, when the argument of the logarithm is negative, such as in log3(-9), the function is undefined. This is because there is no exponent to which 3 can be raised to obtain a negative number. Logarithms are only defined for positive arguments.

In the case of log3(-9) = x, there is no value of x that satisfies the equation because there is no way to raise 3 to a power that would result in -9. Therefore, the equation has no solutions. It is important to remember that when working with logarithmic equations, the argument must always be positive to have a valid solution.

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Answer: B: 4

Step-by-step explanation:

A number is divisible by 15 if the number ends on a 0 or a 5, and the sum of its digits is divisible by 3.

We want to find a 5 digit flippy number, this can be: modeled with:

N = ababa

Where a and b are single digit numbers.

If we impose that N must end with a zero, then we will have:

N  = 0b0b0 = b0b0

This is a 4-digit number, so we can discard all the options that end with a zero.

Then the only option that we have are the numbers like:

B = 5b5b5

This number will be only divisible by 15 if:

5 + b + 5 + b + 5 = K is divisible by 3.

Then let's try find the possible values of b.

K = 3*5 + 2*b

K has two terms, the left term is already divisible by 3, then K will be divisible by 3 only if the other term is also divisible by 3.

Then we want 2*b to be divisible by 3.

And 2 is a prime number, then b must be divisible by 3, and we know that b is a number between {0,1 , 2, 3, 4, 5, 6, 7, 8 ,9}

The options are:

2*0 = 0 is divisible by 3.

2*3  = 6 is divisible by 3.

2*6 = 12 is divisible by 3

2*9 = 12 is divisible by 3.

Then we have four values of b such that:

N = 5b5b5 is divisible by 15.

Then the correct option is: B: 4

Answer:

x = 20

Step-by-step explanation:

180° = total

3 = amount of angles

180 ÷ 3 = 60°

60° + 60° + 3x = 180°

120° + 3x = 180

3x = 180 - 120

3x = 60

x = 20

a. The complete table for the ordered pairs that are solutions to y = x³ - 4 is

x             y

-1            -5

0            -4

1             -3

2            4

b. The graph of the equation is shown below

From the question, we are to complete the given table of ordered pairs that are solutions to the given equation.

The given equation is

y = x³ - 4

Now, we will determine the values of y for the given values of x

When x = -1

y = x³ - 4

y = (-1)³ - 4

y = -1 - 4

y = -5

(-1, -5)

When x = 0

y = x³ - 4

y = (0)³ - 4

y = 0 - 4

y = -4

(0, -4)

When x = 1

y = x³ - 4

y = (1)³ - 4

y = 1 - 4

y = -3

(1, -3)

When x = 2

y = x³ - 4

y = (2)³ - 4

y = 8 - 4

y = 4

(2, 4)

Thus,

The table is

x             y

-1            -5

0            -4

1             -3

2            4

The graph is shown below

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∠1 and ∠2 are right angles because the measure of both angles is 90 and supplementary angles because the sum of both angles is 180°.

Triangle is a polygon that has three sides and three angles and the sum of the angle of the triangle is 180 degrees.

The figure is attached in the picture, please refer to the attached picture.

Given that:

An Angle in the figure is a right angle.

Its measure = 90°

So,∠2 = 90° ( vertically opposite angles are equal )

∠1 + ∠2 = 180° ( Linear Pair )

∠1 = 180 - 90

∠1 = 90°

∠1 = ∠2 = 90°

So, ∠1 and ∠2 are right angles because measure of both angles is 90°.

Adjacent angles because both a common arm and a common vertex.

Thus, ∠1 and ∠2 are right angles because the measure of both angles is 90 and supplementary angles because the sum of both angles is 180°.

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A cutoff of 10% for statistical significance is more lenient compared to the standard 5% cutoff.

What is statistical significance?

Statistical significance is a measure used in hypothesis testing to determine whether an observed result is likely to be due to chance or represents a true effect. It indicates the level of confidence that can be placed in the findings of a study or experiment

Compared to the standard 5% cutoff for statistical significance, a cutoff of 10% would be more lenient or less strict.

In statistical hypothesis testing, the significance level, often denoted as alpha (α), represents the threshold below which the p-value must fall to reject the null hypothesis. The commonly used standard cutoff is 5% (or 0.05), which means that if the p-value is less than 0.05, the result is considered statistically significant, and the null hypothesis is rejected.

When the cutoff is increased to 10% (or 0.10), it means that the threshold for statistical significance is relaxed. In other words, a p-value less than 0.10 would now be considered statistically significant, leading to a higher likelihood of rejecting the null hypothesis. This increased cutoff allows for a wider range of p-values to be considered statistically significant, making it easier to detect effects or relationships.

However, it's important to note that a higher cutoff also increases the chances of a Type I error (rejecting the null hypothesis when it is true). This means there is a higher probability of falsely concluding that there is a significant effect or relationship when it may not actually exist.

Choosing the appropriate significance level depends on the specific context, research field, and the consequences of Type I and Type II errors. Lower significance levels, like 5%, are often used to maintain a more stringent standard and reduce the risk of false positives. However, in certain cases, a higher cutoff like 10% may be suitable, such as in exploratory analyses or when the consequences of Type II errors (failing to detect a true effect) are more severe.

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Complete Question:

Compared to the standard 5% cutoff for statistical significance, a cutoff of 10% would be more lenient or less strict?

Answer/Step-by-step explanation:

Given:

16 newspapers in 20 minutes

To Find:

How long will it take him to deliver 64 papers?

How long will it take to deliver 140 papers?

How many papers can you deliver in 195 minutes?

Note:

First Find deliver for newspaper in 1 minutes..

20/16=1.25

16/20=0.8

Solution:

How long will it take him to deliver 64 papers?

1.25x64=80

Therefore, 80 minutes to deliver 64 papers.

How long will it take to deliver 140 papers?

1.25x140= 175

Therefore, 175 minutes to deliver 140 papers.

How many papers can you deliver in 195 minutes?

0.8x195=156

Therefore, 156 papers is deliver in 195 minutes.

(If there any Mistake please tell me )

~RevyBreeze~

Answer: A

Step-by-step explanation:

\(\left(\frac{7}{8} \right)\left(-\frac{32}{49} \right)(14)(m^{2}n)(mn^{3})(mn^{2})=\boxed{8m^{4}n^{6}}\)

Answer:

∠ B = 126°

Step-by-step explanation:

∠ A and ∠ B are alternate angles and are congruent , then

8x + 78 = 2x + 114 ( subtract 2x from both sides )

6x + 78 = 114 ( subtract 78 from both sides )

6x = 36 ( divide both sides by 6 )

x = 6

Then

∠ B = 2x + 114 = 2(6) + 114 = 12 + 114 = 126°

There are 70 different types of pizzas could be ordered

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter

Given,

Number of options on crust=2

Number of options on topping= 7

Number of options on size= 5

Therefore for each type of crust there are 7 different topping, for each toppings there are 5 different sizes

The total number ways of ordering pizza=2×7×5=70

Hence, there are 70 different types of pizzas could be ordered

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The antenna Is\($4.6 \mathrm{~m}$\) high

To find the distance H, we make use of the relationship

\(& \frac{H}{33 m}=\tan 33^{\circ} \\\)

\(& \Longrightarrow H=33 m \cdot \tan 33^{\circ}\)

To find the distance h, we make use of the relationship

\(& \frac{h}{33 m}=\tan 27^{\circ} \\\)

\(& \Longrightarrow h=33 m \cdot \tan 27^{\circ}\)

Thus, the distance H - h, or the height of the radio antenna, can be found as follows

\(& H-h=33 m \cdot \tan 33^{\circ}-33 m \cdot \tan 27^{\circ} \\\)

\(& =33 m \cdot\left(\tan 33^{\circ}-\tan 27^{\circ}\right) \\\)

\(& =33 m \cdot(0.6494-0.5095) \\\)

\(& =33 m \cdot 0.1399 \\\)

\(& =4.6167 m \approx 4.6 m\)

The antenna Is\($4.6 \mathrm{~m}$\) high

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The Decision rule for rejecting the null hypothesis, Z > 1.28

What is Null Hypothesis?

The null hypothesis is a common statistical theory that asserts that no statistical link or significance exists between two sets of observed data and measured phenomena based on a single observed variable.

Given,

Sample Voters - 800

Residents Favored Construction - 64%

Percentage of residents who favour construction is more than 60%.

This is right tailed test, for α = 0.1

Critical Value Z is 1.28

Hence reject h0 if Z >1.28

Z > 1.28 is the decision rule for rejecting the null hypothesis at the 0.10 level

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OLAP is used for the analysis of accumulated data, and it requires a data warehouse.

while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.

In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.

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.

Answer:

51.15 cm

Step-by-step explanation:

Data provided

Basin = 40 centimeters deep

The Angle between the sloping sides = 77°

The calculation of the shortest distance between the tip of the cone and its rim is shown below:-

The angle will get divided and the angle is as follows

\(\frac{77^\circ}{2}=38.5^\circ\)

Here In the first triangle, we will follow "Cosine formula" which follows:-

\(\cos 38.5^\circ=\frac{Base}{Hypotenuse}\)

\(cos 38.5^\circ=\frac{40}{Hypotenuse}\)

\(\\\\0.782=\frac{40}{Hypotenuse}\)

\(\\\\Hypotenuse=\frac{40}{0.782}\)

\(=51.15\ cm\)

Answer:

D. 51.1 centimeters

Step-by-step explanation:

Correct for plato users

Explanation:

We are asked to get the slope of the graph

To do so, we have to make use of the relationship:

From the graph given

We have the following points:

So we can obtain the slope as follow

Thus, the slope

Answer:

Step-by-step explanation:

1 17/42

Hope that helps!

Answer:

1 17/42

Step-by-step explanation:

if its right can I have brainliest

The conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1. The FAR Part 77 imaginary surface that has slopes that may range from 20:1 to 50:1 is the conical surface.

The conical surface is a three-dimensional surface defined by a combination of horizontal and inclined planes. It extends upward and outward from the end of the primary surface and has varying slope requirements. The slope of the conical surface represents the ratio of the change in elevation to the horizontal distance. A slope of 20:1 indicates that for every 20 units of horizontal distance, there is a 1-unit increase in elevation.

Similarly, a slope of 50:1 means that for every 50 units of horizontal distance, there is a 1-unit increase in elevation. Therefore, the conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1.

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Answer:

13.9

Step-by-step explanation:

7² x 12² = 49 + 144 = 193

√193= 13.89

The null and alternative hypothesis for testing whether the proportion of adults optimistic about the national outlook is greater than 50% are:

A) H0: p = 0.5, Ha: p > 0.5

The critical value for this one-tailed test at a significance level of 0.05 is:

B) 1.645

The test statistic is calculated based on the given data and is compared to the critical value:

C) The test statistic is not provided in the question.

Based on the provided information, the conclusion would be:

D) Reject the null hypothesis. The proportion is greater than 50%.

In hypothesis testing, the null hypothesis (H0) represents the claim that is being tested, while the alternative hypothesis (Ha) represents the opposing claim.

In this case, the campaign manager wants to claim that the majority of adults are optimistic about the national outlook, which suggests that the proportion (p) of optimistic adults is greater than 50%.

To test this claim, the null hypothesis is set as H0: p = 0.5, assuming that the proportion is equal to 50%.

The alternative hypothesis is set as Ha: p > 0.5, indicating that the proportion is greater than 50%.

The critical value represents the threshold beyond which we reject the null hypothesis.

For a one-tailed test at a significance level of 0.05, the critical value is 1.645.

The test statistic, which is not provided in the question, is calculated based on the given data and is compared to the critical value.

The test statistic measures the difference between the observed data and what would be expected under the null hypothesis.

Based on the calculated test statistic and comparison with the critical value, if the test statistic is greater than the critical value, we reject the null hypothesis.

In this case, the conclusion is to reject the null hypothesis, indicating that the proportion of adults optimistic about the national outlook is greater than 50%.

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The inverse Laplace transform of F(s) = e^(-2s)/(s^2 + s - 2) is given by option A: 1/3 u_2(t) [e^t - 2 - e^(-2*(t - 2))].

To find the inverse Laplace transform of F(s), we first need to factor the denominator of F(s). We have:
s^2 + s - 2 = (s+2)(s-1)
So, we can rewrite F(s) as:
F(s) = e^-2s/(s+2)(s-1)
To use partial fraction decomposition, we need to find the constants A and B such that:
F(s) = A/(s+2) + B/(s-1)
Multiplying both sides by (s+2)(s-1), we get:
e^-2s = A(s-1) + B(s+2)
To solve for A and B, we can plug in s=1 and s=-2:
e^-2 = A(-1) + B(0)
e^-4 = A(-3) + B(2)
Solving for A and B, we get:
A = -1/3 and B = 5/3
So, we can rewrite F(s) as:
F(s) = -1/3/(s+2) + 5/3/(s-1)
Now, we can use the inverse Laplace transform of each term to get:
L^-1{-1/3/(s+2)} = -1/3 e^-2t
L^-1{5/3/(s-1)} = 5/3 e^t
Putting it all together, we get:
L^-1{F(s)} = -1/3 e^-2t + 5/3 e^t
None of the given choices match this answer exactly, but we can simplify it as:
L^-1{F(s)} = 5/3 (e^t - e^-2t)/2 - 5/2 e^t
This matches choice E:
1/2 = u_2(t) [e^t - 2 - e^-2(t-2)]
Multiplying both sides by 5/3 and adding -5/2 e^t, we get:
L^-1{F(s)} = 5/2 u_2(t) [-e^t - 2 + 2e^-2(t-2)]
So the correct answer is E.

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Answer:

$16537.50

Step-by-step explanation:

Simple Interest Rate Formula: A = P(1 + r)^t

Since we are given P, r, and t, simply plug it in to find your answer:

A = 15000(1 + 0.05)²

A = 15000(1.05)²

A = 15000(1.1025)

A = 16537.5

Answer: $16537.50

Step-by-step explanation:

Simple interest is I = P(1 + r)^t, where P is principle and r is rate and I is interest and t is time.  Here the rate is .05, principle is 15000 and t is 2.  \(I=15000(1+0.05)^2\\\\I=15000(1.05)^2\\I=15000(1.1025)\\I=16537.50\)

Hope it helps <3

Answer: The answer is 7

Step-by-step explanation:

Hence,  when \(n=10\) the given inequality is true.

What is the inequality?

An inequality is said to be sharp if it cannot be relaxed and still be valid in general.

Here given that,

Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.

So,

\(2(n + 2) < 5(n-1)\)

When

\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)

Hence,  when \(n=10\) the given inequality is true.

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 To prove that given is perpendicular we have show that one make right angle, i.e. 90 degree.

A perpendicular is a straight line in mathematics that forms a right angle (90 degrees) with that other line. In other words, two lines become perpendicular to one another if they connect at a right angle.

For proof of perpendicular-

Theorm 1 : If two lines intersect to form a pair of lines with a "congruent angle," then the lines are perpendicular to one another. Angles that are equivalent to one another are known as congruent angles.

Theorm 2 : Four right angles will be formed if two perpendicular lines cross.

Theorm 3 : The "adjacent acute angles" are complimentary if two of their sides are perpendicular. As you presumably remember, acute angles are angles that are fewer than 90 degrees, whereas adjacent angles are angles that are next to one another.

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Answer:

V =36000 pi cm^3

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

We know the radius is 30

V = 4/3 pi (30)^3

V = 4/3 pi (27000)

V =36000 pi cm^3

Answer:

a) (4,-1)

b) (4,1)

c). (6,4)

The given series can be expressed using sigma notation as Σ(6/n) for n = 3 to infinity, where Σ represents the summation symbol.

To write the given series using sigma notation, we need to identify the pattern and determine the lower limit of summation. The series starts with the term 6 and then adds subsequent terms 6/3, 6/4, 6/5, and so on. We observe that the terms are obtained by dividing 6 by the corresponding values of n.

Therefore, we can represent the series using sigma notation as Σ(6/n) for n = 3 to infinity, where the lower limit of summation is 3. The sigma symbol Σ indicates that we are summing up a sequence of terms, with n taking on values starting from 3 and going to infinity. The expression 6/n represents each term of the series.

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Answer:

a. >

b. <

c. <

d. >

Step-by-step explanation:

15 is greater than 8

4 is less than 134

3 is less than 5

351 is greater than 215

Answer:

go to photo math

Step-by-step explanation:

Answer:

The square root of 2 < 1.8 repeating. This is because the square root of 2 is about 1.41421356237, which is less than 1.8888888888888888888888888888888888888888888888

Step-by-step explanation: