Find the value of x.
3521
3x-2

Answer:

So, KM and ST are perpendicular  lines

Step-by-step explanation:

Find the slope of KM and ST.

K (-3, -7), M(3, -3)

Slope of KM = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

                    \(= \frac{-3-[-7]}{3-[-3]}\\\\= \frac{-3+7}{3+3}\\\\ = \frac{4}{6}\\\\= \frac{2}{3}\)

S(0 , 4)  & T(6 , -5)

Slope of ST = \(\frac{-5-4}{6-0}\)

                   \(=\frac{-9}{6}\\\\=\frac{-3}{2}\)

Slope of KM * slope of ST = \(\frac{2}{3} * \frac{-3}{2}\)

                                           = -1

So, KM and ST are perpendicular  lines

Answer:

perpendicular

Step-by-step explanation:

Step-by-step explanation:

(p+1)³

p³+3×p²×1+3×p×1²+1³

p³+3p²+3p+1

I hope it helped U

stay safe stay happy

I hope it will be helpful to you .

Loss on disposal of plant assets = $46400 - $32550

Loss on disposal of plant assets = $13850

Date Account titles and Explanation Debit Credit

Jan. 01 Accumulated depreciation-Equipment $81000

Equipment  $81000

June 30 Depreciation expense (1) $4000

Accumulated depreciation-Equipment  $4000

(To record depreciation expense on forklift)  

June 30 Cash $13000

Accumulated depreciation-Equipment (2) $28000

Equipment  $40000

Gain on disposal of plant assets (3)  $1000

(To record sale of forklift)  

Dec. 31 Depreciation expense (4) $5425

Accumulated depreciation-Equipment  $5425

(To record depreciation expense on truck)  

Dec. 31 Accumulated depreciation-Equipment (5) $32550

Loss on disposal of plant assets (6) $13850

Equipment  $46400

(To record sale of truck)  

Calculations :

(1)

Depreciation expense = (Book value - Salvage value) / Useful life

Depreciation expense = ($40000 - $0) / 5 = $8000 per year

So, for half year = $8000 * 6/12 = $4000

(2)

From Jan. 1, 2019 to June 30, 2022 i.e 3.5 years.

Accumulated depreciation = $8000 * 3.5 years = $28000

(3)

Gain on disposal of plant assets = Sale value + Accumulated depreciation - Book value

Gain on disposal of plant assets = $13000 + $28000 - $40000

Gain on disposal of plant assets = $1000

(4)

Depreciation expense = (Book value - Salvage value) / Useful life

Depreciation expense = ($46400 - $3000) / 8

Depreciation expense = $5425 per year

(5)

From Jan. 1, 2017 to Dec. 31, 2022 i.e 6 years.

Accumulated depreciation = $5425 * 6 years = $32550

(6)

Loss on disposal of plant assets = Book value - Accumulated depreciation

Loss on disposal of plant assets = $46400 - $32550

Loss on disposal of plant assets = $13850

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To determine the score needed to get into a university that accepts only the top 10% of students, the Z-score corresponding to the 90th percentile is used.

A Z-score measures the number of standard deviations a particular data point is from the mean. In this case, the university only accepts students in the top 10%, which means the desired score would be the value corresponding to the 90th percentile. To calculate this Z-score, you would look up the corresponding value in a standard normal distribution table or use statistical software.

The Z-score represents the number of standard deviations above or below the mean a given data point falls. By finding the Z-score corresponding to the 90th percentile, you can determine the score needed to be within the top 10% of students. The Z-score table provides the critical value for a given percentile, and in this case, it would correspond to the 90th percentile. This critical value is used to convert the desired percentile into a Z-score. With the Z-score, you can then determine the score needed for admission to the university by applying it to the mean and standard deviation of the score distribution.

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The equation of the plane passing through the points \((0, 6, 6), (6, 0, 6), and (6, 6, 0)\) is \(36x + 36y + 36z = 432\).

To find the equation of the plane passing through the points \((0, 6, 6), (6, 0, 6), and (6, 6, 0)\), we can use the point-normal form of the equation of a plane.

Step 1: Find two vectors in the plane.

Let's find two vectors by taking the differences between the given points:

Vector v₁ = \((6, 0, 6) - (0, 6, 6) = (6, -6, 0)\)

Vector v₂ = \((6, 6, 0) - (0, 6, 6) = (6, 0, -6)\)

Step 2: Find the normal vector.

The normal vector is perpendicular to both v₁ and v₂. We can find it by taking their cross product:

Normal vector n = v₁ \(\times\) v₂ = \((6, -6, 0) \times (6, 0, -6) = (36, 36, 36)\)

Step 3: Write the equation of the plane.

Using the point-normal form, we can choose any point on the plane (let's use the first given point, \((0, 6, 6)\)), and write the equation as:

n · (x, y, z) = n · (0, 6, 6)

Step 4: Simplify the equation.

Substituting the values of n and the chosen point, we have:

(36, 36, 36) · (x, y, z) = (36, 36, 36) · (0, 6, 6)

Simplifying further:

\(36x + 36y + 36z = 0 + 216 + 216\\36x + 36y + 36z = 432\)

Therefore, the equation of the plane passing through the given points is:

\(36x + 36y + 36z = 432\)

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Answer: 52 = 2, 4, 13, 52

Step-by-step explanation:

Answer:

answer is b or 16

Step-by-step explanation:

2:3

24/3=8

8*2=16

1. divide the hypotenuse by 3

This will get you to how small it is meaning, the starting size

2. mulitple the answer by 2

This will get you how big the smaller triangle's hypotenuse is.

Answer:

7

Step-by-step explanation:

7x7x7

The first Epistle of John was written about AD of between 95 and 110 . So, by this our option should be 97 AD, which is true.

The Fourth of the Catholic Epistles, The First Epistle of John[a] is the first of the Johannine epistles in the New Testament. The authorship of the Johannine writings is disputed among academics. The First Epistle's author is identified as John the Evangelist, who most scholars do not consider to be the same person as John the Apostle. The three Johannine epistles are thought to have been written by the same person by the majority of scholars, however it is unclear if the same person wrote the Gospel of John.

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Some examples of cardiovascular in physical fitness activities are:

Jogging, cycling, swimming, aerobics, rowing, stair climbing, hiking, cross-country skiing, and sport-related games.

Cardiovascular fitness is a positive health component of staying fit that is brought about by routine physical activity.

We have,

Cardiovascular fitness tells about our health and the potential for health outcomes.

Some examples of cardiovascular in physical fitness activities are:

- Walking

- Jogging

- Running

- Cycling

- Swimming

- Aerobics

- Rowing

- Stair climbing

- Hiking

- Cross-country skiing

- Sports

Thus,

The examples are mentioned above.

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We have that the angles that are congruent with m<3=20° are the ones that we can see in the image in red

m<3=m<1=m<5=m<7=m<9=m<11=m<14=m<16=20°

Answer:

7

Step-by-step explanation:

News executives estimated that a 0.1 drop in the ratings for the CBS Evening News corresponds to a $5.5 million drop in revenueThe correct expression that represents the estimation as a derivative is:

\($f'(p) = -5.5 \text{million}$\)

This means that the derivative of the revenue function with respect to the ratings points is equal to -5.5 million.

In this context, the negative sign indicates that as the ratings points decrease (p decreases), the revenue earned decreases. The magnitude of -5.5 million indicates the rate of change in revenue for every one-unit decrease in the ratings points.

By using the derivative, we can determine the sensitivity of revenue to changes in ratings points. In this case, for every 0.1 drop in the ratings points, the revenue is estimated to decrease by $5.5 million.

It's important to note that this estimation assumes a linear relationship between the ratings points and revenue. The derivative captures the instantaneous rate of change in revenue with respect to ratings points.

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The value of (-1)^2 + 1 is 2, and when n = 0, the expression 22n+1(2n + 1)! evaluates to 2. The hint regarding the Maclaurin series does not apply to these specific expressions.

The expression (-1)^2 + 1 can be simplified as follows:

(-1)^2 + 1 = 1 + 1 = 2.

So, the value of (-1)^2 + 1 is 2.

Regarding the second expression, 22n+1(2n + 1)! for n = 0, let's break it down step by step:

When n = 0:

22n+1(2n + 1)! = 2(2*0 + 1)! = 2(1)! = 2(1) = 2.

Therefore, when n = 0, the expression 22n+1(2n + 1)! evaluates to 2.

As for the hint mentioning the Maclaurin series, it seems unrelated to the given expressions. The Maclaurin series is a Taylor series expansion around the point x = 0. It is commonly used to approximate functions by representing them as infinite polynomials. However, in this case, the expressions do not involve any specific function or series expansion.

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Answer:

Solution : AP = 19 , 15 , 11 , 7 , 3.....

Common difference ( d ) = 15 - 19 = -4.

Answer:

The common difference is -4.

Step-by-step explanation:

Subtract a term from the next term.

11 - 15 = -4

The common difference is -4.

y=2x+4 is the equation of line A, y=-2/3x+12 is the equation of line B and  (3, 10) is the solution

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

For Line A

(1, 6) and (2, 8)

slope=8-6/2-1=2

Now y intercept

6=2+b

b=4

y=2x+4 is the equation of line A

Now line B, (3, 10) and (0, 12)

m=-2/3

10=-2+b

12=b

y=-2/3x+12 is the equation of line B.

Now we have to find solution

2x+4=-2/3x+12

2x+2/3x=8

6x+2x=24

8x=24

x=3

Now y=6+4=10

So (3, 10) is the solution

Substitute the solution values in any of the equation

10=2(3)+4

10=10

Hence, y=2x+4 is the equation of line A, y=-2/3x+12 is the equation of line B and  (3, 10) is the solution

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The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.

We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.

We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.

Using this in the given triangle KLM, we get:

Area = (1/2)(KL)(KM)(sin K),

or, 400 = (1/2)(KL)(45)(sin 25°),

or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.

Thus, we get KL = 42 yards.

Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.

Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

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Answer: b

Step-by-step explanation:

Based on the calculations using z-scores, we can conclude that the Grande Mocha Cappuccino at Ruth's Roast's has less sugar relative to the other drinks at its respective store than the Grande Mocha Cappuccino at Coffee Haven.

What is Coffee Haven?

"Coffee Haven" was used as an example name for one of the coffee shops in a previous question. It is not an actual coffee shop. The name was used to illustrate a point about comparing the sugar content of drinks between different coffee shops.

To compare the sugar content of the Grande Mocha Cappuccino between the two coffee shops, we can use z-scores to standardize the sugar content based on the mean and standard deviation of each shop's drinks.

For the first coffee shop, let's call it Coffee Haven, we know that the mean sugar content is 20g with a standard deviation of 8g. Therefore, the z-score for the Grande Mocha Cappuccino at Coffee Haven is:

z = (13 - 20) / 8 = -0.875

For the second coffee shop, Ruth's Roast's, we know that the mean sugar content is 16g with a standard deviation of 6g. Therefore, the z-score for the Grande Mocha Cappuccino at Ruth's Roast's is:

z = (13 - 16) / 6 = -0.5

Comparing the two z-scores, we see that the z-score for the Grande Mocha Cappuccino at Ruth's Roast's is greater than the z-score for the Grande Mocha Cappuccino at Coffee Haven. This means that the Grande Mocha Cappuccino at Ruth's Roast's has less sugar relative to the other drinks at its respective store than the Grande Mocha Cappuccino at Coffee Haven.

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Answer:

0 slope

Step-by-step explanation:

also i like your username

Answer:

HUIH

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

1. Change 48 cm to mm, which will give you 480 mm

2. Divide 480 mm by 12 mm, that will give you 40

Therefore, Victor needs 40 books to make his desired height.

The slope-intercept form of the equation 8x = 4y + 16 will be y = 2x -4.

What is equation straight line?

Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.

The equation given is 8x = 4y + 16.

We must solve for y as follows;

8x = 4y + 16

4y = 8x -16

By dividing through by 4; we have;

y = 2x -16

Hence the equation for both lines will be y = x +3 and   y  = x+13

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If you are trying to earn the most money possible on your investment, you should invest in Account Cas it has the highest interest rate and compounds annually.
i. Account A: $5255.61
ii. Account B: $5221.53
iii. Account C: $5169.31
a. To determine the value of your investment after 12 years for each account, we can use the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

i. Account A:
A = $1150(1 + 0.139/1)^(1*12)
A = $1150(1.139)^12
A ≈ $5908.52

ii. Account B:
A = $1150(1 + 0.133/12)^(12*12)
A = $1150(1.011083)^144
A ≈ $6122.64

iii. Account C:
A = $1150(1 + 0.13/365)^(365*12)
A = $1150(1.000356)^4380
A ≈ $6150.15

b. If you are trying to earn the most money possible on your investment, you should invest your money in:

Account C

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Answer:

y=2, angle c=55, line AB is 2, line BC, is 2 angle X is 35. also fun fact that test is messed up because X is the angle not Y so either you may want to tell someone about that.

Step-by-step explanation:

Answer: its geometric

Step-by-step explanation: The numbers are separated and are counting up Individually

Answer: 48 pounds of trails mix

Step-by-step explanation:

<3

Answer:48

Step-by-step explanation:

basically do 16 divided by each and add them

I don’t know what I’m doing

Answer: The person above me is correct. Here is a picture if you still dont get it..

Step-by-step explanation:

Answer:

Folk religions are based in tradition

Folk religions are animistic

The major religions are christianity and islam

Correct statement regarding religion in Africa is that the major religions are Christianity and Islam.

At some point, Africans practiced traditional religions where they worshipped multiple gods and held deep reverence for their ancestors. This changed as Islam and Christianity took over the continent.

Islam was spread around Africa by:

Christianity came later when:

Therefore, We can say in conclusion that due to Muslim and European incursions in Africa, the major religions became Islam and Christianity.

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Answer:

Step-by-step explanation:

Nick's age = x years

Lina's age =3*x = 3x

After 6 years,

Lina's age = 3x + 6

Nick's age = x + 6

3x + 6 = 2*(x+6)

3x + 6 = 2*x + 2*6

3x + 6 = 2x + 12      {Subtract 6 form both sides}

3x +6 - 6 = 2x + 12 - 6

3x  = 2x + 6    {subtract 2x from both sides}

3x - 2x = 2x + 6 - 2x

x = 6

Nick's age = 6 years

Lina's age =3*6 = 18 years

Answer:

Lina is 18 and Nick is 6

Step-by-step explanation: