True or false: In(x+y)- In(x+y)=0. Explain your thinking.

The average number of hours the family had the television set on is 3 hours.

The average of a set of numbers is calculated by adding the numbers together and dividing it by the total number. Average is also known as mean. Average is a measure of central tendency. Other measures of central tendency are mode and median.

Average = sum of the numbers / total number

Average = (5 + 2 + 1 + 2 + 1 + 2 + 6) / 7 =

19 / 7 = 2.714 hours

To round off a number to the nearest whole number, if the tenth digit is equal to 5 or greater than five, add one to the units digit. If this is not the case, the unit digit remain unchanged. In both cases, the tenth digit is replaced with o.

Because the tenth digit in 2.714 is greater than 5, the number becomes 3 hours.

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The difference between exponents \((a^n)^m = a^{mn}\) and \(a^nb^n = (ab)^n\) has been described below

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In \(2^4 = 2 \times 2 \times 2 \times 2\)

Here, 2 is multiplied by itself 4 times.

If \(a^m = a \times a \times a \times....... \times a\) (m times), a is the base and m is the index.

The laws of index are-

\(a^m \times a^n = a^{m + n}\\a^m \div a^n = a^{m-n}\\a^0 = 1\\a^{-n} = \frac{1}{a^n}\\\\a^m b^m = (ab)^m\\(\frac{a}{b})^n = \frac{a^n}{b^n}\)

In case of  \((a^n)^m = a^{mn}\), the base is single but in case of \(a^nb^n = (ab)^n\), the base is a product of two numbers

If the base can be expressed as a product of different numbers,

\(a^nb^n = (ab)^n\) is used

If the base cannot be expressed as a product, then \((a^n)^m = a^{mn}\) is used

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The frequency of the orange light emitted by the neon lamp is approximately\(4.444 x 10^14 s^-1.\)

We can use the formula:

f = c/λ

where f is the frequency of the light, c is the speed of light in a vacuum (which is approximately 3.00 x 10^8 m/s), and λ is the wavelength of the light in meters.

First, we need to convert the wavelength of the orange light from nanometers to meters:

\(675 nm = 675 x 10^-9 m\)

Substituting the values into the formula, we get:

\(f = (3.00 x 10^8 m/s)/(675 x 10^-9 m)\)

\(= 4.444 x 10^14 s^-1\)

Therefore, the frequency of the orange light emitted by the neon lamp is approximately \(4.444 x 10^14 s^-1.\)

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Answer:

Step-by-step explanation:

\(( {4}^{2} ) ^{6} \)

Open the bracket

\( {4}^{2 \times 6} \)

multiple the powers

\( {4}^{12} \)

So,the answer is :

\( {4}^{12} \)

Write as a single power of 4

(4²)^6

4¹²

=> (4²)⁶

=> 4² × ⁶

=> 4¹²

The slope of the line on the graph is equal to 4/3.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the formula for the slope of a line, we have the following;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 - 0)/(6 - 3)

Slope (m) = 4/3

Based on the graph, the slope is the change in y-axis with respect to the x-axis and it is equal to 4/3.

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Here are three current job openings in the sports industry along with details about the positions and my opinion about each opportunity:1. Social Media Coordinator at the National Football League (NFL):The Social Media Coordinator at the NFL will be responsible for executing the NFL's social media content strategy across various social media platforms.

This includes creating and publishing content, analyzing data and performance, and staying up to date on social media trends. The position requires a Bachelor's degree and 2-3 years of experience in social media management or related field. My opinion about this opportunity: The NFL is a well-known and highly respected organization in the sports industry, and working as a Social Media Coordinator for them would be an excellent opportunity for someone with experience in social media management.2. Sales Associate at Nike: Nike is currently hiring a Sales Associate at one of their retail stores.

The Sales Associate will be responsible for delivering excellent customer service, maintaining product knowledge, and achieving sales goals. The position requires a high school diploma or equivalent and some retail or customer service experience. My opinion about this opportunity: Nike is a global leader in the sports industry, and working as a Sales Associate at one of their retail stores would provide valuable experience in sales and customer service.3. Communications Intern at USA Volleyball: USA Volleyball is offering a Communications Internship that will give students hands-on experience in sports communication. The intern will assist with creating content for various USA Volleyball platforms, including social media and email marketing. The position is unpaid, but college credit is available. My opinion about this opportunity: This internship would be an excellent opportunity for a student interested in pursuing a career in sports communication. Although the position is unpaid, the experience and skills gained would be invaluable.

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The length of segment BD is given as follows:

BD = 6.

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The altitude segment for this problem is given as follows:

BD.

The bases for this problem are given as follows:

3 and 12.

Hence the length of segment BD is obtained as follows:

(BD)² = 3 x 12

(BD)² = 36

BD = 6 -> taking the square root.

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The sale price of the shirt is $162.5

A percentage is a number or ratio that can be expressed in the form of a fraction by 100. The percentage of a number is defined as the value of the number out of 100. Percentage does not have any unit of measurement.

If the regular price is $30 and the sale is 45%,it means the $30 represents the other 55% of the sale price. So it can be written as

sale price= 55%×regular price

Here sale price is taken as s

s= 55%×$30

Solving this for s, we get

s= (55/100)×$30

s=0.55×$30

s=$16.5

So, the sale price is $16.5

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Answer:

1600$

Step-by-step explanation:

By using the SI formula,

\(SI={PXRXT}/{100} \\SI=10000X2X8/100\\SI = 1600$\\\\Hence, the interest is 1600$\)$

Option C) 1600$ is correct

Mark me brainliest

Answer:

We know that C is the total number of cans in a complete case.

Victoria counts:

16 full cases, so in those we have: 16*C cans.

4 cases with 5 missing cans, so in those we have:

Then if each case has C cans, the cases that are missing 5 cans have:

C - 5 cans.

Then in those four cases we have a total of: 4*(C - 5) cans.

And Victoria knows that there are 220 cans, then we have that:

16*C + 4*(C - 5) = 220

16*C + 4*C - 20 = 220

16*C + 4*C = 220 + 20 = 240

20*C = 240

C = 240/20 = 12

Then each case has 12 cans.

Then the number of cans in the cases with missing cans is:

12 cans - 5 cans = 7 cans.

Step-by-step explanation:

Hope this helps!!!!!!!! :D

If billion dollars in taxes were collected in 2005, then 30 billion was collected in 2017.

In 2005 the population was 2 million and it had increased to 3 million by 2017.

If 20 billion dollars in taxes were collected in 2005 then we have to determine how much tax was collected in 2017.

The amount of taxes of the city is proportion to the population of that city.

Tax(T) = kP(Population)

where k is a constant.

In 2005 Population = 2 millions and T = 20 billion. So

20 = 2k

Divide by 2 on both side, we get

k = 10

In 2017 Population = 3 millions and k = 10. So the tax collection in 2017 is:

t = 10 × 3

t = 30 billion

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The complete question is:

The amount of taxes a city collects is proportional to the population of the city. In 2005 the population was 2 million and it had increased to 3 million by 2017. If 20 billion dollars in taxes were collected in 2005 how much was collected in 2017? billion dollars help?

The inverse continuous-time Fourier transform (ICTFT) of\(\(X(\omega)=\frac{2 \pi}{3}\)\operatorname\({sinc}^{2}(3 \omega+3)\)\) simplifies to\(\(x(t) = \frac{\pi}{3} \text{sinc}^{2}\left(\frac{t+1}{3}\right)\).\)

The given function\(\(X(\omega)=\frac{2 \pi}{3}\)\operatorname\({sinc}^{2}(3 \omega+3)\)\) is the Fourier transform of a signal in the frequency domain. To find the inverse continuous-time Fourier transform (ICTFT), we need to find the corresponding signal in the time domain.

The ICTFT  \(\(X(\omega)\)\) can be found by taking the inverse Fourier transform  \(\(X(\omega)\)\)with respect to \(\(\omega\)\). Since the given function is already in the form of a squared sinc function, we can directly apply the inverse Fourier transform.

The inverse Fourier transform of \(\(X(\omega)\)\)gives us the signal (x(t)) in the time domain. By substituting the given function into the inverse Fourier transform formula, we obtain.

\(\(x(t) = \frac{1}{2\pi} \int_{-\infty}^{\infty} X(\omega)e^{j\omega t} d\omega\).\)

Substituting\(\(X(\omega)=\frac{2 \pi}{3}\)\operatorname\({sinc}^{2}(3 \omega+3)\)\)into the integral and simplifying, we get:

\(\(x(t) = \frac{\pi}{3} \text{sinc}^{2}\left(\frac{t+1}{3}\right)\).\)

Therefore, the simplified form of the ICTFT of \(\(X(\omega)=\frac{2 \pi}{3}\)\operatorname \({sinc}^{2}(3 \omega+3)\)\) is \(\(x(t) = \frac{\pi}{3} \text{sinc}^{2}\left(\frac{t+1}{3}\right)\).\)

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A reasonable estimate for the total amount Juliet paid to repair her car is $292.95.

Let's break down the problem step by step, keeping in mind the terms you've provided:
Juliet paid $270 for car repairs at a rate of $0.75 per repair.
The sales tax rate is 8.5%.
To estimate the total amount paid, we need to calculate the cost of the repairs before tax and then add the tax amount.
Determine the cost of repairs before tax
To find the total cost of repairs, we'll divide the amount paid by the rate per repair:

$270 / $0.75 = 360 repairs.
Calculate the sales tax amount
Next, we'll multiply the cost of repairs before tax by the sales tax rate:

360 repairs * $0.75/repair * 8.5%

= $22.95 in sales tax.
Estimate the total amount paid
Finally, we'll add the cost of repairs before tax and the sales tax amount:

$270 + $22.95 ≈ $292.95.

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An approximate solution to x³ - 5x² - 11 = 0, rounded to 2 decimal places, is x ≈ 2.76.

Use the equation derived from the iterative process:

xᵢ₊₁ = xᵢ - (f(xᵢ) / f'(xᵢ))

Calculate f(xᵢ):

f(xᵢ) = xᵢ³ - 5xᵢ² - 11

Calculate f'(xᵢ):

f'(xᵢ) = 3xᵢ² - 10xᵢ

Substitute the values of xᵢ, f(xᵢ), and f'(xᵢ) into the iterative equation and calculate xᵢ₊₁.

Let's perform the calculations:

For x = 5:

f(x) = 5³ - 5(5)² - 11 = 69

f'(x) = 3(5)² - 10(5) = 25

Using the iterative equation:

x₁ = 5 - (69 / 25)

≈ 2.76

Therefore, an approximate solution to x³ - 5x² - 11 = 0, rounded to 2 decimal places, is x ≈ 2.76.

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The statements that are true are "f(x) may have a global maximum at more than one x-value." and "f(x) may or may not have global extrema." Therefore, options A. and B. are true.

Consider a continuous function f(x) defined on the interval -∞ to ∞. Let's consider the given statements:

A. f(x) may have a global maximum at more than one x-value:

This statement is true. A function can have multiple x-values where the global maximum occurs.

B. f(x) may or may not have global extrema:

This statement is true. Depending on the function, it may have a global minimum, a global maximum, both, or neither.

C. f(x) may have a global minimum or a global maximum, but cannot have both:

This statement is false. A continuous function defined on an unbounded domain can have both a global minimum and a global maximum, such as a parabolic function.

D. f(x) must have both a global maximum and a global minimum:

This statement is false. There's no guarantee that a continuous function defined on an unbounded domain must have both a global maximum and a global minimum.

E. f(x) cannot have any global extrema:

This statement is false. A continuous function defined on an unbounded domain can have global extrema.

Therefore, options A. and B. are true.

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The number of samples that were greater than 98.5 degrees and less than 98.7 degrees is 25.

We have,

3.

The number of samples that were greater than 98.5 degrees and less than 98.7 degrees.

= 25

We add up all the dots above the numbers between 98.5 and 98.7.

We will not include the dots above 98.5 and 98.7.

4.

The dot plot of the sample mean body temperature for 100 different random samples of size 10 from a population with a mean temperature of 98.6 degrees shows that the majority of the sample means are close to 98.6, and there are very few samples means that exceed 98.6, then it would be surprising to obtain a sample mean of 98.8 or greater from a different random sample.

Thus,

The number of samples that were greater than 98.5 degrees and less than 98.7 degrees is 25.

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Answer:

iF X IS POSITIVE THEN -X IS ALWAYS NEGATIVE

IF X IS NEGATIVE, THEN -X IS ALWAYS POSITIVE

THE NEGATIVE OF A POSITIVE IS ALWAYS POSITIV

THE NEGATIVE OF A NEGATIVE IS ALWAYS POSITIVE

Step-by-step explanation:YS

−x is always equal to a negative integer is an incorrect statement.

The student is not correct.

A number system is defined as a system of writing to express numbers.

−x is always equal to a negative integer when x is positive integer

−x is always equal to a positive integer when x is negative integer

Which means the value of -x changes on the integer of x.

If x is positive then -x will be always negative, If x is negative then -x is positive.

The negative of a negative integer is positive and the negative of positive integer is negative.

Hence  −x is always equal to a negative integer is an incorrect statement.

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Answer:

B. (5x+7)

Step-by-step explanation:

i did same question on a quiz yesterday lol

Answer: C Step 3

Step-by-step explanation: I passed

Answer:

To find out what should be subtracted from -5/4 to get -1, we need to solve the equation if you dont know something in math you can always put it as x first.

-5/4 - x = -1

where x is the number that needs to be subtracted.

To solve for x, we have to simplify the left side of the equation:

-5/4 - x = -1

-5/4 + 4/4 - x = -1  (adding 4/4 to both sides)

-1/4 - x = -1

Now, we can isolate x by adding 1/4 to both sides of the equation:

-1/4 - x = -1

-1/4 + 1/4 - x = -1 + 1/4  (adding 1/4 to both sides)

-x = -3/4

Finally, we can solve for x by multiplying both sides by -1:

-x = -3/4

x = 3/4

Therefore, the number that should be subtracted from -5/4 to get -1 is 3/4.

The true statements are:

Cylinder A has a smaller volume than Cylinder B.

Cylinder B has a larger base area than Cylinder A.

Cylinder B is shorter than Cylinder A.

Use the formula V = Bh, where B is the area of the base and h is the height of the cylinder.

For Cylinder A:

The radius is approximately 3/2 meters (half of the circumference C divided by 2π).

The area of the base is A = πr² ≈ 3.14 × (3/2)² ≈ 7.07 square meters.

The volume is V = Bh = 7.07 × 5 ≈ 35.35 cubic meters.

For Cylinder B:

The radius is approximately 5/2 meters.

The area of the base is A = πr² ≈ 3.14 × (5/2)² ≈ 19.63 square meters.

The volume is V = Bh = 19.63 × 3 ≈ 58.89 cubic meters.

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Answer: 200 cats in total

Step-by-step explanation:

60 calico cats represents 30% of the total cat population in the shelter.

That means that if we find 30% of the total number of cats, the number we will get is 60.

Assuming the total is x, representing this in equation form makes it:

x * 30% = 60

x = 60 / 30%

x = 200 cats in total

The perimeter of the triangle is 21

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

The perimeter of the triangle is found by adding all the sides

The vertices of the triangle ABC are (-1,1), (-3, -4), and (5,-2). let A be (-1,1), B be (-3, -4) and C be (5,-2).

The distance between And B = √ (-3-(-1))²+( -4-1)²

Line AB = √ 2²+-5²

AB = √ 4+25

AB =√29 = 5.4

line AC = √5-(-1)² + (-2-1)²

AC = √ 6²+3²

AC = √ 36+9

AC = √ 45

AC = 6.7

The distance between B and C = √( -3-5)² + (-4-(-2)²

BC = √ 8²+4²

BC =✓64+16

BC = √80

BC = 8.9

Therefore the perimeter of the triangle is AB+ BC + AC = 5.4+6.7+8.9 = 21

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Answer:

B

Step-by-step explanation:

Answer goes up one and to the left one

Step-by-step explanation:

a. After the 1-for-10 reverse split, the number of outstanding shares would be 3,560,880. This is because the reverse split reduces the number of outstanding shares by a factor of 10.

b. To determine the post-split price per share, we first need to calculate the total market capitalization of the corporation after the split. The total market capitalization is the product of the number of outstanding shares and the price per share.

Before the split, the market capitalization was:

35,608,800 shares * $0.41 per share = $14,597,008

After the split, the market capitalization is:

3,560,880 shares * x per share, where x is the post-split price per share.

Since this is a monetary non-event (as shown in part c below), the market capitalization after the split should be the same as the market capitalization before the split:

$14,597,008 = 3,560,880 shares * x per share

Solving for x, we get:

x = $4.10 per share

Therefore, the post-split price per share is $4.10.

c. This split was a monetary non-event for the corporation because it did not change the total market capitalization of the corporation. The market capitalization before the split was $14,597,008, and after the split, the market capitalization was still $14,597,008. This means that the split did not change the value of the corporation. Instead, it simply consolidated the number of outstanding shares and increased the price per share by a factor of 10.  The overall value of the company remained the same.

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a. After the 1-for-10 reverse split, the number of outstanding shares would be 3,560,880.

b. the post-split price per share is $4.10.

c. This split was a monetary non-event for the corporation because it did not change the total market capitalization of the corporation.

How to find splits?

a. After the 1-for-10 reverse split, the number of outstanding shares would be 3,560,880. This is because the reverse split reduces the number of outstanding shares by a factor of 10.

b. To determine the post-split price per share, we first need to calculate the total market capitalization of the corporation after the split. The total market capitalization is the product of the number of outstanding shares and the price per share.

Before the split, the market capitalization was:

35,608,800 shares * $0.41 per share = $14,597,008

After the split, the market capitalization is:

3,560,880 shares * x per share, where x is the post-split price per share.

Since this is a monetary non-event (as shown in part c below), the market capitalization after the split should be the same as the market capitalization before the split:

$14,597,008 = 3,560,880 shares * x per share

Solving for x, we get:

x = $4.10 per share

Therefore, the post-split price per share is $4.10.

c. This split was a monetary non-event for the corporation because it did not change the total market capitalization of the corporation. The market capitalization before the split was $14,597,008, and after the split, the market capitalization was still $14,597,008. This means that the split did not change the value of the corporation. Instead, it simply consolidated the number of outstanding shares and increased the price per share by a factor of 10.  The overall value of the company remained the same.

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Answer:

15.7 yd

Step-by-step explanation:

Arc length is given as 2πr(θ/360).

Where,

Radius (r) = 10 yd,

Measure of arc (θ) = 90°

π = 3.142

Arc length = 2*3.142*10(90/360)

Arc length = 62.84(¼)

Arc length = 62.84/4

Arc length = 15.71 yd

The act length is approximately 15.7 (to the nearest tenth)

By Pythagorean theorem, the calculated hypotenuse of the right triangle 17 is 9√2 cm (approx. 12.7 cm / 127.3 mm or 12.73 cm). The difference of the answers is 3 mm. The measure is accurate.

In this question we find a table representing a recursive algorithm involving Pythagorean theorem, whose definition is introduced below:

c² = a² + b²

Where:

Now we proceed to determine the hypotenuse of the right triangle 17:

Step 1

a = 3 cm, b = 3 cm

c = √[(3 cm)² + (3 cm)²]

c = 3√2 cm

Step 2

a = 3√2 cm, b = 3 cm

c = √[(3√2 cm)² + (3 cm)²]

c = √27 cm

c = 3√3 cm

Step 3

a = 3√3 cm, b = 3 cm

c = √[(3√3 cm)² + (3 cm)²]

c = √36 cm

c = 6 cm

Step 4

a = 6 cm, b = 3 cm

c = √[(6 cm)² + (3 cm)²]

c = √45 cm

c = 3√5 cm

Step 5

a = 3√5 cm, b = 3 cm

c = √[(3√5 cm)² + (3 cm)²]

c = √54 cm

c = 3√6 cm

Step 6

a = 3√6 cm, b = 3 cm

c = √[(3√6 cm)² + (3 cm)²]

c = √63 cm

c = 3√7 cm

Step 7

a = 3√7 cm, b = 3 cm

c = √[(3√7 cm)² + (3 cm)²]

c = √72 cm

c = 3√8 cm

c = 6√2 cm

Step 8

a = 3√8 cm, b = 3 cm

c = √[(3√8 cm)² + (3 cm)²]

c = √81 cm

c = 9 cm

Step 9

a = 9 cm, b = 3 cm

c = √[(9 cm)² + (3 cm)²]

c = √90 cm

c = 3√10 cm

Step 10

a = 3√10 cm, b = 3 cm

c = √[(3√10 cm)² + (3 cm)²]

c = √99 cm

c = 3√11 cm

Step 11

a = 3√11 cm, b = 3 cm

c = √[(3√11 cm)² + (3 cm)²]

c = √108 cm

c = 6√3 cm

Step 12

a = 6√3 cm, b = 3 cm

c = √[(6√3 cm)² + (3 cm)²]

c = 3√13 cm

Step 13

a = 3√13 cm, b = 3 cm

c = √[(3√13 cm)² + (3 cm)²]

c = 3√14 cm

Step 14

a = 3√14 cm, b = 3 cm

c = √[(3√14 cm)² + (3 cm)²]

c = 3√15 cm

Step 15

a = 3√15 cm, b = 3 cm

c = √[(3√15 cm)² + (3 cm)²]

c = 12 cm

Step 16

a = 12 cm, b = 3 cm

c = √[(12 cm)² + (3 cm)²]

c = 3√17 cm

Case 17

a = 3√17 cm, b = 3 cm

c = √[(3√17 cm)² + (3 cm)²]

c = 9√2 cm

The calculated hypotenuse of the right triangle 17 is equal to a length of 9√2 cm (approx. 12.7 cm or 127.3 mm, which is 12.73 cm). The difference of the answers is 3 mm.

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