Your friend tells you that when evaluating a powe, the answer is always negative if the base is negative. Do you agree or disagree? Explain and provide an example to support your answer.​

Answer:625

Step-by-step explanation:(2+3)^4

5^4

Answer:

\( \frac{ {x}^{2} + 10x + 16 }{ {x } {}^{2} + 6x + 8} \div \frac{1}{x + 2} \)

\( \frac{ {x}^{2} + 8 x+ 2x + 16}{ {x}^{2} + 4x + 2x + 8} \times (x + 2)\)

\( \frac{x(x + 8) + 2 (x + 8)}{x(x + 4) + 2(x + 4)} \times (x + 2)\)

\( \frac{( x + 8)(x + 2)}{(x + 2)(x + 4)} \times ( x + 2)\)

\( \frac{( x + 8)(x + 2)}{(x + 4)} \)

Answer:

if -2 refers to the y-intercept "f(-2)=g(-2)" would be correct

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Results:

(i) The vector −→EX in terms of a and/or b, →X = 1/2 (10b →OB + 10a →OA)

(ii) The vector −−→XY in terms of a and/or b→XY = →Y - 1/2 (10b →OB + 10a →OA)

(i) We can use the midpoint formula, which states that the midpoint of a line segment is the average of the coordinates of its endpoints to express the vector −→EX in terms of a and/or b.

Since X is the midpoint of BC, we can express X as the average of the coordinates of B and C:

→X = 1/2 (→B + →C)

Since B is located at 10b units in the direction of vector →OB from O, and C is located at 10a units in the direction of vector →OA from O, we can express →B and →C in terms of a and b:

→B = 10b →OB

→C = 10a →OA

Substituting these values into the expression for →X, we get:

→X = 1/2 (10b →OB + 10a →OA)

(ii) To express the vector −→XY in terms of a and/or b, we can use the given ratio AB: BY = 3: 2.

Since AB is a vector from A to B, we can express it as →AB = →B - →A.

Substituting the expressions for →B and →A, we get:

→AB = 10b →OB - →OA

Since AB: BY = 3: 2, we can express BY as 2/3 of AB:

→BY = 2/3 (→AB)

Substituting the expression for →AB, we get:

→BY = 2/3 (10b →OB - →OA)

Finally, we can express →XY as the vector from Y to X, which is the opposite of →X to →Y:

→XY = →Y - →X

Substituting the expressions for →X and →Y, we get:

→XY = →Y - 1/2 (10b →OB + 10a →OA)

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Answer: B / (6/3)(x^4-7)

Step-by-step explanation: When Dividing an equation with variables that have exponents, the numbers divide normally and the power of the exponents will subtract *as long as it is the same variable* in this case, it will be 4-7.
Hope this helped :)

9514 1404 393

Answer:

  S > 2

Step-by-step explanation:

In this context, "over" means "greater than." The problem statement tells you the weight (S) is greater than 2 kilograms:

  S > 2

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

15 dollars

Step-by-step explanation:

Total Bill = Cost of the Meal + tip

Total Bill = 100 + 15/100 * 100

Total Bill = 115

So the tip is 15 dollars.

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.

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Answer:

\(\huge\boxed{\sf x = 130\°}\)

Step-by-step explanation:

So,

90 + 90 + 50 + x = 360

230 + x = 360

x = 360 - 230

\(\rule[225]{225}{2}\)

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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Answer:

8x-24

Step-by-step explanation:

First you do:

8×x which is 8x

Then you do:

8×-3 which is -24

Then you put it into 1 expression:

8x-24

Answer:

8−24

Thank You!

In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

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the variance will be 0.6217.

What is frequency distribution?

The gathered data is arranged in tables based on frequency distribution. The information could consist of test results, local weather information, volleyball match results, student grades, etc. Data must be presented meaningfully for understanding after data gathering. A frequency distribution graph is a different approach to displaying data that has been represented graphically.

A small data analysis class has six computer science majors among the fourteen total students.

Three people are chosen at random to form a group.

here this is hypergeometric distribution with parameter n=sample size =3 ; N =population size =14

and k=computer sience major =6

a) E(X) =nk/N =3*6/14 =18/14 =9/7 =1.2857

b)|varaince =σ²=(nk/N)*(1-k/N)*(N-n)/(N-1)) =(3*6/14)(1-6/14)*(14-3)/(14-1)= 0.6217

Hence, the variance will be 0.6217.

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Answer:

6

See photo for explaination.

Answer:

Following are the answer to this question:

Step-by-step explanation:

The principle vale of Arg(3)

\(Arg(3)=-\pi+\tan^{-1} (\frac{|Y|}{|x|})\)

The principle value of the \(\logi= \log(0+i)\ \ \ \ \ _{where} \ \ \ x=0 \ \ y=1> 0\)

So, the principle value:

a)

\(\to \log(i)=\log |i|+i Arg(i)\\\\\)

             \(=\log \sqrt{0+1}+i \tan^{-1}(\frac{1}{0})\\\=\log 1 +i \tan^{-1}(\infty)\\\=0+i\frac{\pi}{2}\\\=i\frac{\pi}{2}\)

b)

\(\to \log(-i)= \log(0-i ) \ \ \ x=0 \ \ \ y= -1<0\\\)

Principle value:

\(\to \log(-i)= \log|-i|+iArg(-i) \\\\\)

                 \(=\log \sqrt{0+1}+i(-\pi+\tan^{-1}(\infty))\\\\=\log1 + i(-\pi+\frac{\pi}{2})\\\\=-i\frac{\pi}{2}\)

c)

\(\to \log(-1+i) \ \ \ \ x=-1, _{and} y=1 \ \ \ x<0 and y>0\)

The principle value:

\(\to \log(-1+i)=\log |-1+i| + i Arg(-1+i)\)

                     \(=\log \sqrt{1+1}+i(\pi+\tan^{-1}(\frac{1}{1}))\\\\=\log \sqrt{2} + i(\pi-\tan^{-1}\frac{\pi}{4})\\\\=\log \sqrt{2} + i\tan^{-1}\frac{3\pi}{4}\\\\\)

d)

\(\to i^i=w\\\\w=e^{i\log i}\)

The principle value:

\(\to \log i=i\frac{\pi}{2}\\\\\to w=e^{i(i \frac{\pi}{2})}\\\\=e^{-\frac{\pi}{2}}\)

e)

\(\to (-i)^i\\\to w=(-i)^i\\\\w=e^{i \log (-i)}\)

In this we calculate the principle value from b:

so, the final value is \(e^{\frac{\pi}{2}}\)

f)

\(\to -1^i\\\\\to w=e^{i log(-1)}\\\\\ principle \ value: \\\\\to \log(-1)= \log |-1|+iArg(-i)\)

                \(=\log \sqrt{1} + i(\pi-\tan^{-1}\frac{0}{-1})\\\\=\log \sqrt{1} + i(\pi-0)\\\\=\log \sqrt{1} + i\pi\\\\=0+i\pi\\=i\pi\)

and the principle value of w is = \(e^{\pi}\)

g)

\(\to -1^{-i}\\\\\to w=e^(-i \log (-1))\\\\\)

from the point f the principle value is:

\(\to \log(-1)= i\pi\\\to w= e^{-i(i\pi)}\\\\\to w=e^{\pi}\)

h)

\(\to \log(-1-i)\\\\\ Here x=-1 ,<0 \ \ y=-1<0\\\\ \ principle \ value \ is:\\\\ \to \log(-1-i)=\log\sqrt{1+1}+i(-\pi+\tan^{-1}(1))\)

                    \(=\log\sqrt{2}+i(-\pi+\frac{\pi}{4})\\\\=\log\sqrt{2}+i(-\frac{3\pi}{4})\\\\=\log\sqrt{2}-i\frac{3\pi}{4})\\\)

Answer:

it is the last one

Step-by-step explanation:

A dilation is an enlargement or reduction of an object by a scale factor and with a center of dilation.

Answer:

C) 8³

Step-by-step explanation:

2⁶ = 64

4⁶ = 4096

8³ = 512

6³ = 216

By fraction method, 55/16 pounds of rice Belle purchased.

In math, what is a fraction?

Part of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction.

                                 Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.

  = 2 3/4 * 5/4

   = 5/4 * 2 + 5/4 *  3/4

   = 5/2 + 5/4 * 3/4

  = 5/2 + 15/ 4 * 4

  = 5/2 + 15/16

  common denominator and write the numerators above common denominator   =   5 *8/16 + 15/16

         = 40/16 + 15/16

         = 40 + 15/16

          = 55/16

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Answer:

The interval from -12 to -7

The interval from 6 to 12.

Step-by-step explanation:

The equation is log(x + 9) + log(x 9) = log[(x + 9)(x 9)]. = log(x² − 81)

Here is the equation:

log(x² - 81) = 0.47712

This can be expressed in exponential form:

x² - 81 = 10^(0.47712)

x² = 81 + 3.02343

x² = 84.02343

x ≈ ± 9.1658

The answers are therefore x -9.1658 and x 9.1658.

These intervals are where these solutions occur:

The answer, x -9.1658, can be found in the range from -12 to -7.

- The answer x = 9.1658 is found in the range of 6 to 12.

The appropriate choices are:

- The range between -7 and -12; - The range between 6 and 12.

Answer:

All the adults

Step-by-step explanation:

The question says that the researcher wants to estimate all adults that own a cell phone.

So the population of interest is all the adults.

The statistic is the proportion p^ of the random sample of 2000 adults;

P^ = 1650/2000

= 0.825

The parameter of interest in the question is p, which is the proportion of those adults that own a cell phone.

Answer:

They are equivalent.

Step-by-step explanation:

Answer: 27 x 1/3

Step-by-step explanation: 27/1 x 1/3 = 9 orchards per store

The number of orchards in each store will be 27 x (1/3). Then the correct option is A.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

John manages 27 apple orchards in North Georgia. He wants to split the orchards into thirds so that he can open 3 local stores.

Then the number of orchards in each store will be

⇒ 27 / 3

Then the expression can be written as,

⇒ 27 x (1/3)

The number of orchards in each store will be 27 x (1/3). Then the correct option is A.

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