Find the speed of a car in miles per hour, if its wheels, that have a diameter of 18 inches, travel at a rate of 10 revolutions per second.

Mehar may deduct a total of $9,000 in passive losses during the current tax year.

In the current tax year, Mehar has passive income from a publicly traded limited partnership amounting to $12,000 and passive income from a nonpublicly traded limited partnership amounting to $14,000. Additionally, Mehar has passive losses from a publicly traded limited partnership totaling $9,000 and passive losses from a nonpublicly traded limited partnership totaling $18,000.

When it comes to passive losses, they can only be offset against passive income. In this case, Mehar's passive losses from the publicly traded limited partnership ($9,000) can be offset against the passive income from the nonpublicly traded limited partnership ($14,000). However, the remaining passive loss from the nonpublicly traded limited partnership ($18,000 - $9,000 = $9,000) cannot be deducted because there is no passive income left to offset it against.

Therefore, the total amount of passive losses that Mehar may deduct during the current tax year is $9,000. It's important to note that specific tax rule and regulations may vary, so it's advisable for Mehar to consult a tax professional or refer to the latest tax guidelines for accurate and personalized advice.

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Step-by-step explanation:

V(-2,1)

U(1,3)

E(0,1)

the dilation is by 1/2 so multiply all numbers by a half, hope you pass!!

The value of x in the equation (x - m)/ (n + m) = (x - n)/ (n - m) when solved is x = n²/m.

A list of the elements that make up an equation includes coefficients, variables, operators, constants, terms, and the equal to sign. An equation must always begin with the "=" sign and have terms on both sides. Each party should be treated equally.

Each side of an equation does not need to have a lot of terms, operators, and variables. Each equation with variables is an algebraic equation.

In the question, equation given:

(x - m)/ (n + m) = (x - n)/ (n - m)

Apply cross multiplication:

⇒ (x - m) (n - m) = (n + m) (x - n)

After opening the brackets, we have:

⇒ xn - xm - mn + n² = xn + xm - n² - mn

Evaluating the like terms in the equation we get:

⇒ 2xm = 2n²

So, we have

⇒ xm = n²

Divide by m on both sides:

x = n²/m

Therefore, the solution of the equation is x = n²/m.

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Here, we use the property of multiplication of exponential expression which states when we multiply two exponential expressions with the same base, we keep the base and add the exponents.

Therefore,

\(x^(3+5) = x^8\)

Now,

\(x^(3+5) = x^8\)

is of the form:

\(x^b = x^p\)

When we have two equal expressions on either side of the equation, the power of the base remains the same. Therefore,

p = 8

There we have it. The value of p is 8. The full solution is shown below:

\(x^3 × x^5 \\= x^px^8\\ = x^p\)

We can see that the base of the exponential expression on either side is equal.

Therefore, the power of the base must be equal as well. In other words

,p = 8.

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A car travels along the x-axis with increasing speed. Among the given graphs. the graph given in (a) most closely represents the motion of the car.

The slope of graphs (b) and (e) remains constant.

Here, the distance increases with time.

Graph (c) shows decreasing the velocity of the vehicle.

In graph (d) the velocity of the vehicle increases and then slows down.

In graph (a), speed is increased which means that as time passes the slope of the graph becomes steeper. here, the slope of the graph increases with time.

Hence, the speed of the car increases.

Therefore, the correct representation of the motion of the car is the graph (a).

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The question diagram is missing in the question,

The diagram is like (As attached below)

Answer:

151 is your answer of this question

Step-by-step explanation:

first youvshoud divide ()and multiply by 5

db/dt = 40/12 = 10/3 Feet per second, or approximately 3.33 feet per second. So the foot of the ladder is being pulled away from the wall at a rate of about 3.33 feet per second when it is 8 feet away from the wall and the top of the ladder is sliding down at 4 feet per second.

We can use the Pythagorean theorem to relate the length of the ladder, the distance of its foot from the wall, and the height it reaches on the wall:

\(a^2 + b^2 = c^2\)

where c is the length of the ladder, a is the distance of its foot from the wall, and b is the height it reaches on the wall. Differentiating with respect to time, we get:

2a da/dt + 2b db/dt = 2c dc/dt

We are interested in finding db/dt when a = 8 feet and dc/dt = -4 feet per second (negative because the top of the ladder is sliding down). We also know that c = 10 feet, so we can plug in these values and solve for db/dt:

2(8) da/dt + 2b db/dt = 2(10) (-4)

Simplifying:

16 da/dt + b db/dt = -40

We also know that when a = 8 feet and b = 6 feet (from the Pythagorean theorem), the ladder is at a height of 6 feet on the wall. Therefore, we can plug in these values and solve for da/dt:

8 da/dt + 6 db/dt = 0

Simplifying:

da/dt = -(3/4) db/dt

Now we can substitute this expression for da/dt in the first equation, and solve for db/dt:

2(8) (-(3/4) db/dt) + 2(6) db/dt = -40

Simplifying:

-12 db/dt = -40

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The radius of convergence is 4.

To find the radius of convergence, R, of the collection, we can use the ratio test:

\(lim_n→∞ |(a_(n+1)/\)\(a_n)|\)

\(lim_n→∞ |(a_{(n+1})/\)

\(= lim_n→∞ |(x+8) / 4| * |ln(n+1) / ln(n)|\)

For the series to converge, this limit need to be less than 1. therefore, we've:

\(|(x+8) / 4| * lim_n→∞ |ln(n+1) / ln(n)| < 1\)

For the reason that\(lim_n→∞ |ln(n+1) / ln(n)| = 1\), we will simplify this to:

|(x+8) / 4| < 1

Taking the absolute cost under consideration, we have cases:

Case 1: (x+8)/4 < 1

In this case, we have x < -4.

Case 2: (x+8)/4 > -1

In this case, we have x > -12.

Consequently, the radius of convergence is the distance from the center of the collection (x = -8) to the closest endpoint of the c language (-12 on the left and -4 at the right):

R = min{8, 4} = 4

So, 4 is the radius of convergence.

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Let

S = 1 + 2 + 3 + … + (n - 2) + (n - 1) + n

Reversing the order of terms, we have

S = n + (n - 1) + (n - 2) + … + 3 + 2 + 1

and we observe that terms in the same position on the right side add up to n + 1.

2S = (1 + n) + (2 + (n - 1)) + (3 + (n - 2)) + … + (n + 1)

There are n terms in the sum, so each the right side is simply n copies of n + 1, and

2S = n (n + 1)

S = n (n + 1)/2

Now,

17 + 18 + 19 + … + 41 + 42 + 43

= (1 + 2 + 3 + … + 41 + 42 + 43) - (1 + 2 + 3 + … + 14 + 15 + 16)

= (S with 43 terms) - (S with 16 terms)

= 43 (43 + 1)/2 - 16 (16 + 1)/2

= 810

The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.

Total number of fruits Amy has = 10

Number of Apples = 7

Number of Oranges = 3

First random pieces of fruits chosen:

Probability of choosing Apples = 6/9

Probability of choosing Oranges = 3/9

Second random pieces of fruits chosen:

Probability of choosing Apples = 6/8

= 3/4

Probability of choosing Oranges = 2/8

= 1/4

Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.

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The answer is.

y = 2, x = -4

Answer:

x=-4

Step-by-step explanation:

First substitute y=3x+14

2x-3(3x+14)=-14

Distribute:

2x-9x-42=-14

Add or subtract like terms

-7x-42=-14

-7x=28

Finally divide both sides by -7

-7x/-7=x

28/-7=(-4)

x=-4

Answer:

No, the events are not independent.

Step-by-step explanation:

Suppose that there are two events, A and B.

Such that first happens the event A and then the event B.

If the outcome of event A affects the probabilities for the different outcomes of event B, then the events are dependent.

In this case, if we have only the event "selecting a student who has brown eyes"  (at random)

The probability is equal to the quotient between the total number of students with brown eyes, and the total number of students, then this probability is:

P = 91/200 = 0.455...

Now, if we first impose the "selecting a female", now when we want to select a student with brown eyes we will look only at the female students.

In this case, there are 32 with brown eyes and a total of 90 female students, then the probability of selecting a female with brown eyes at random is:

P = 32/90 = 0.355...

So the probability is different, which means that the events "selecting a female" and "selecting a student who has brown eyes" are not independent.

Answer:

so what should I do

Step-by-step explanation:

hope it helps

The performance rating increased by 2 points 2.04 would happen to the attitude rating.

The slope and the intercept values are given, the equation of a line can be found easily. So, it is also known as the slope and intercept form.

The standard form to represent the equation of a line is as follows:

Given

Managers at a company rate employees on performance and attitude and find that an employee's attitude depends on their performance.

They find a linear relationship and the line of best fit is y = 11. 7 + 1.02x.

The performance rating increased by 2 points what would happen to the attitude rating is;

\(\rm = 1. 02 x\\\\=1.02 \times 2\\\\= 2.04\)

Hence, the performance rating increased by 2 points 2.04 would happen to the attitude rating.

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The average number of fleas on a single Blue Jay in Akron is slightly higher than the average for the state of Ohio.

The average number of fleas on a single Eastern Blue Jay in the state of Ohio is 300, with a standard deviation of 14. In Akron, OH, a flock of 49 Blue Jays had an average of 314 fleas.

To analyze this data, we can use the concept of the z-score. The z-score measures how many standard deviations an individual data point is from the mean.

First, we need to calculate the z-score for the average number of fleas in the flock of Blue Jays in Akron. To do this, we subtract the mean (300) from the observed value (314) and then divide by the standard deviation (14).

z-score

= (314 - 300) / 14 = 14 / 14 = 1

The z-score of 1 tells us that the average number of fleas in the flock of Blue Jays in Akron is 1 standard deviation above the mean.

This means that the average number of fleas on a single Blue Jay in Akron is slightly higher than the average for the state of Ohio.

It's important to note that the z-score allows us to compare data points from different distributions. In this case, we compared the average number of fleas in the Akron flock to the average for the entire state of Ohio.

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Answer:

100%+15% = 115%

proportionally:

x - 100%

161 - 115%

x = (161 * 100%) / 115% = 140

Answer:

\(\Large\boxed{140}\)

Step-by-step explanation:

\(\sf Let \ x \ be \ the \ number.\)

\(\sf x \ increased \ by \ 15\% \ is \ 161.\)

\(x \times (1+15\%)=161\)

\(x \times (1+0.15)=161\)

\(x \times (1.15)=161\)

\(\displaystyle \frac{x \times (1.15)}{1.15}=\frac{161}{1.15}\)

\(x=140\)

Answer: the answer is B which is x < -1

Step-by-step explanation: trust me bro and happy holidays :)

Answer:

\(\huge\boxed{B)\ x<-1}\)

Step-by-step explanation:

Solve this inequality the same way you would solve an equation: by isolating x.

Simply subtract 6 from both sides to get -4x > 4.   Then merely divide both sides by -4 to get x < -1.  (Notice that when dividing by a negative number, you must flip the sign of the inequality.)

Hope it helps :)

There are four significant figures in the number 1.032.

Significant figures are the digits in a number that carry meaningful information about its precision. To determine the significant figures in a number, follow these rules:

Non-zero digits are always significant. In this case, the digits 1, 0, 3, and 2 are non-zero.

Zeroes between non-zero digits are significant. In this case, the zero between 1 and 3 is significant.

Leading zeroes (zeros before the first non-zero digit) are not significant. In this case, there are no leading zeroes.

Trailing zeroes (zeros after the last non-zero digit) are significant only if there is a decimal point present. In this case, there is a trailing zero after the 2, and since there is a decimal point, it is significant.

By applying these rules, we find that the number 1.032 has four significant figures.

The number 1.032 has four significant figures.

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The answer to this question is:

−|−5⋅(−7)|  = −35

The non-negative quantity of a real number x, regardless of its sign, is its absolute value (or modulus), | x |. For instance, the number 5 has a value of 5 and an absolute value of 5.

So, here first we have to solve the expression written inside the modulus and then the remaining part.

−| −5⋅(−7) |  = −| −5*(−7) |

                   = −| 35 |

The absolute value of  | 35 | is  non-negative value of 35

                        | 35 | = 35

So, −| −5⋅(−7) | =  −| 35 | = −35

Therefore,  −|−5⋅(−7)|  = −35

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Answer:

A

Step-by-step explanation

Dilation: A shape is scaled up or down by a scale factor

Translation: A shape is moved on a coordinate plane to a different spot.

A works because lets you one side (the bottom side). The bottom has a length of 3, and the bigger one has a length of 6, showing a scale factor of 2.

Answer:

u = -2

Step-by-step explanation:

Here is how to solve the equation,

\(7 - 6u = 5u + 29\\\)

What I did first was isolate the variable by adding to both sides.

7 - 6u = 5u + 29

  + 6u   +6u      

7 = 11u + 29

Our new equation now needs to be simplified by subtracting from both sides, like so...

 7 = 11u + 29

-29          -29  

-22 = 11u

Time to divide and solve for the variable u.

\(\frac{-22}{11}\) and \(\frac{11u}{11}\)

That leaves us with, -2 = u

Hope this helps and have a great day!

Answer:

201.06cm

Step-by-step explanation:

32 is the diameter of the semicircle

1. Find circumference of a semicircle

C=32(pi)                                     Note: I used the pi sign, not 3.14

C=100.53

100.53

If 4 semicircles equal 2 circles, then 100.53+100.53 is..

201.06.

The wire is 201.06cm

I am not sure about this one but I hoped this helped in some way.

Answer:

it's 2/3

Was it helpful?

comment down

If there is any kind of suspicious mistake

then sorry

Answer:

C: Melanie is correct.

Step-by-step explanation:

Answer:

first 4 terms =7,10,13,16

10th term = 34

Step-by-step explanation:

3n+4

3(1)+4=7

3(2)+4=10

3(3)+4=13

3(4)+4=16

7,10,13,16

10th term = 3(10)+4= 34

The first four terms of the sequence having nth term 3n+4, are 7, 10, 13, 16 and the 10th term is 34.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

Given that,

The nth term of a sequence is given by 3n+4,

To find the first 4 terms, substitute the values of n,

At n=1, the first term = 3(1) + 4 = 3 + 4 = 7

At n=2, the second term = 3(2)+4 = 6 + 4 = 10

At n=3, the third term = 3(3) + 4 = 9 + 4 = 13

At n=4, the fourth term = 3(4) + 4 = 12 + 4 = 16

For 10th term, substitute n=10.

At n=10, the tenth term = 3(10) + 4 = 30 + 4 = 34

The first four terms are 7, 10, 13, 16 and the 10th term is 34.

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Answer:

1/ \(x^{-8}\)

Step-by-step explanation:

when there is two powers the correct method to solve is to multiply them so

4 * -2 = -8

Answer:

The length of the wooden board is about 12.2 feet.

Step-by-step explanation:

Please refer to the diagram attached below.

The base of the board forms a 35° degree angle with the ground.

And we want to find the length of the wooden board.

Since we are given an angle and its adjacent length and we want to find the hypotenuse, we can use the cosine ratio:

\(\displaystyle \cos(\theta^\circ)=\frac{\text{adjacent}}{\text{hypotenuse}}\)

The adjacent side is the distance from the wall to the board, which is 10 feet.

And the angle made is 35°.

The hypotenuse is the length of the wooden board. Therefore:

\(\displaystyle \cos(35)=\frac{10}{\ell}\)

Solve for the length. Cross-multiply:

\(\displaystyle 10=\ell \cos(35)\)

Therefore:

\(\displaystyle \ell=\frac{10}{\cos(35)}\approx12.2\)

The length of the wooden board is about 12.2 feet.

Answer:12c.

Step-by-step explanation:

The relative frequency table that the study could provide is:

Exercise ≥ 90 minutes per week Exercise < 90 minutes per week Total

Has high blood pressure 32% 68% 100%

Does not have high blood pressure 86% 14% 100%

Total 47% 53% 100%

This table shows that 32% of those with high blood pressure exercise at least 90 minutes per week, and 86% of those who do not have high blood pressure exercise at least 90 minutes per week. The total percentages for each category of exercise add up to 100% and the sum of the percentages of each category of high blood pressure also add up to 100%.

The other options don't match the study data. In option 1, the percentages for each category of exercise don't add up to 100%. In option 2 and 3 the percentages for each category of high blood pressure don't add up to 100%. And in option 4, the percentages for each category of exercise don't add up to 100%.