Proportions of similar triangles find the value of x

The equation of tangent plane is -x + 2x - 1 = 0

Given,

r = < u² , 8usinv , ucosv >

Here,

r = < u² , 8usinv , ucosv >

Differentiate partially with respect to u and v,

\(r_{u}\) = < 2u , 8sinv , cosv >

\(r_{v}\) = < 0, 8ucosv , -4sinv >

Substitute u = 1 and v = 0

\(r_{u}\) = < 2, 0 , 0 >

\(r_{v}\) = < 0 , 8 , 0 >

Now,

N = \(r_{u}\) × \(r_{v}\)

N = \(\left[\begin{array}{ccc}i&j&k\\2&0&1\\0&8&0\end{array}\right]\)

N = -8i -j(0) +16k

N = < -8 , 0 , 16 >

Tangent plane

-8x + 16z + d = 0

Coordinates of tangent plane : <1, 0 ,1>

Substitute the values in the equation,

-8(1) + 16 (1) + d = 0

d = -8

Substitute in the tangent plane equation,

-8x + 16z - 8 = 0

-x + 2x - 1 = 0

Thus equation of tangent plane: -x + 2x - 1 = 0

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Answer:

Use reverse operations to find the original number.

15/2

7.5

The number that was originally thought of was 7.5.

:)

The required function will be

y= 500-10x

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

let amount of money = x and

number of remaining candy =y

total 500 remaining candies= total 10x amount of money

y= 500-10x

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Answer:

6+18x

Step-by-step explanation:

You typically would use PEMDAS in this situation but in the parenthesis, you can't add the 3 and the 9x together, so you just skip to 2*3 and 2*9x

Answer:

Step-by-step explanation:

if were trying to simplify it it would be 6+18x

The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.

Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).

Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:

\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]

Simplifying the equation and solving for \(D\), we find:

\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]

Substituting the values into the formula, we get:

\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]

Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.

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Percentage decrease = 3.79%ercentage decrease = 3.79%

Total number of students in 2019 = 1875

During christmas:

There was a decrease of 77 students

This means = 1875 - 77 = 1798 students left in the school

There was also n increase of 6= 1798 + 6

Total number of student remaining = 1804

Percent decrease = (decrease/original amount of student) × 100

Our Decrease will not be 77 because we are told there was an enrolment of 6 students

Decrease = number of students that left - number of new enrolment

Decrease = 77 - 6

Decrease = 71

Answer:

B)

Step-by-step explanation:

distances:

AB = 6

BC = √4+25 = √29

CD = √0+144 = 12

AD = √5²+4² = √41

The solution to the multiplication 125 * 4 given the sample multiplication is; C) 500

We are given the following multiplications;

50 * 4 = 200

75 * 4 = 300

Now, we want to multiply 125 * 4

This can also be expressed in form of its factors as;

25 * 5 * 4

From 50 * 4 = 200, we can factorize to get;

25 * 2 * 4 = 200

25 * 4 = 200/2

Similarly, 75 * 4 = 300 can be factorized as;

15 * 5 * 4 = 300

Thus;

5 = 300/(15 * 4)

Thus;

25 * 5 * 4 = 25 * 4 * 5 can then be expressed as;

(200/2) * (300/(15 * 4))

= 100 * 5

= 500

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Answer:

$34.40

Step-by-step explanation:

this equation has 3 steps

1. to find out how much the dvds cost without any discount or tax: $40

2. the price of the dvds with the 20% discount, which can be found with cross-multiplication making the price after discount $32

3. the final price of the dvds with sales tax can be found also with cross-multiplication and the final answer would be 34.4

Answer:

$34.7

Step-by-step explanation:

40 x 0.0675 to find the tax.

40 x 0.8 to find how much to pay

40 x 0.0675 = 2.7

40 x 0.8 = 32

32 + 2.7 = 34.7

The answer is: it depends. If {c} is equal to {a} or {b}, then it is necessarily in the sigma-algebra, since {a} and {b} are already in the sigma-algebra and sigma algebras are closed under subsets.

In order to answer this question, we need to understand what a sigma-algebra is and what properties it has.

A sigma algebra is a collection of subsets of a set that has three properties:
1. It contains the empty set.
2. It is closed under complementation (i.e., if A is in the sigma-algebra, then A^c is also in the sigma-algebra).
3. It is closed under countable unions (i.e., if A1, A2, A3, ... are in the sigma-algebra, then their union is also in the sigma-algebra).

The answer is: it depends. If {c} is equal to {a} or {b}, then it is necessarily in the sigma-algebra, since {a} and {b} are already in the sigma-algebra and sigma algebras are closed under subsets.

However, if {c} is not equal to {a} or {b}, then we cannot say for sure whether it is in the sigma-algebra or not.

To see why, consider the following example. Let X = {a, b, c, d} and let the sigma-algebra be the power set of X (i.e., the collection of all subsets of X).

Then {a} and {b} are in the sigma-algebra, but {c} is not. Therefore, we cannot say that {c} is necessarily in the sigma-algebra.

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a.The inverse supply curve is: PX = (QXS + 340)/10

b.when Qx = 350, the producer surplus is 4375, and when Qx = 1000, the producer surplus is 17000.

a. To find the inverse supply curve, we need to solve for PX in terms of QXS. Starting with the original equation:

QXS = -340 + 10PX

Add 340 to both sides:

QXS + 340 = 10PX

Divide both sides by 10:

(PX) = (QXS + 340)/10

So the inverse supply curve is:

PX = (QXS + 340)/10

b. To find the producer surplus, we need to calculate the area between the supply curve and the market price for a given quantity of X. The market price is equal to the supply curve equation. So for Qx = 350, we have:

QXS = -340 + 10PX

QXS = -340 + 10(35) = 10

Producer surplus = (35-10) x 350/2 = 4375

For Qx = 1000, we have:

QXS = -340 + 10PX

QXS = -340 + 10(100) = 660

Producer surplus = (100-66) x 1000/2 = 17000

Therefore, when Qx = 350, the producer surplus is 4375, and when Qx = 1000, the producer surplus is 17000.

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Answer:

45 degrees

Step-by-step explanation:

Since the angle x and angle 135 degrees are supplementary, you just have to minus 135 from 180 which the answer is 45 degrees.

The value of the angle x will be equal to 45 degrees.

An endlessly long row of evenly spaced dots that spans in both directions makes up a line. Its length is the only dimension it has. A geometry called an angle is created when two line segments, lines, or rays intersect.

Given that the line is crossing the two parallel lines making an angle of 135 degrees with one line. The value of x will be calculated by using the supplementary angle property.

x + 135 = 180

x = 180 - 135

x = 45

Therefore, the value of the angle x will be equal to 45 degrees.

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Answer:

5y + 3= 14

subtract 3 from each side

5y=11

divide each side by 5

5y/5=11/5

y=11/5 or 2.2 or 2 1/5

Hope This Helps!!!

Answer:

2.2

Step-by-step explanation:

Properties needed:

First we need to subtract 3 from both sides because of subtraction property of equality to make both sides equal.

5y + 3 = 14

      -3    -3

5y = 11

Then we need to divide 5 from both sides (division property of equality) to get y.

\(\frac{5y}{5} = \frac{11}{5}\)

And we get 2.2

Please mark brainliest!

I hope this helps!

Have a great day!

Answer:

neither; neither; supplementary

Step-by-step explanation:

Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.

First picture: 32° + 48° = 80°

80° < 90° and 80° < 180°

Therefore they are neither

Second picture: 101° + 77°  = 178°

178° > 90° and 178° < 180°

Therefore they are neither

Third picture: 107° + 73° = 180°

180° < 90° but 180° = 180°

Therefore they are supplementary

neither neither and supplementery cus i smrt

Answer:

400 boys : 200 girls

Step-by-step explanation:

Answer:

\(x = 15 $^{\circ}$ ; z = 74$^{\circ}$\)

Step-by-step explanation:

First, combine all like terms. Like terms are terms that have the same amount of the same variables:

\(m$\angle$(5x - 1) + m$\angle$(7x + 1) = 180$^{\circ}$\\\\\)

\(m$\angle$(5x + 7x) + (1 - 1) = 180$^{\circ}$\)

\(12x + 0 = 180$^{\circ}$\)

Next, isolate the variable, x. Divide 12 from both sides of the equation:

\(12x = 180\\\frac{12x}{12} = \frac{180}{12}\\ x = \frac{180}{12}\\ x = 15 $^{\circ}$\)

Next, plug in 15 for x in one of the given expressions. If you choose the right one (7x + 1), you will solve using the straight angle theorem. If you choose the bottom one (5x - 1), you will solve using the vertical angle postulate. Both will give you the same answer for x.

Firstly, if you want to solve using the straight angle theorem. The straight angle theorem is defined that all straight angles are 180 degrees. Solve using the straight angle theorem. Set both angle measurements equal to 180°:

\((z) + (7x + 1) = 180\)

Plug in 15 for x and solve for the parenthesis:

\(z + 7(15) + 1 = 180 $^{\circ}$\\\)

First, multiply 7 with 15:

\(z + (7 * 15) + 1 = 180 $^{\circ}$\\z +105 + 1 = 180$^{\circ}$\\\)

Next, simplify by combining like terms:

\(z + (105 + 1) = 180 $^{\circ}$\\z + 106 = 180$^{\circ}$\)

Next, isolate the variable, z, by subtracting 106 from both sides of the equation:

\(z + 106 = 180 $^{\circ}$\\z + 106 (-106) = 180 (-106)\\z = 180 - 106\\z = 74$^{\circ}$\)

Your answer:

\(x = 15 $^{\circ}$ ; z = 74$^{\circ}$\)

~

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The total savings plan balance after 18 months with an APR of 5% and monthly payments of $250 is $16,995.

What is future value?

A financial concept known as future value (FV) assigns a value to an asset based on anticipated factors like future interest rates or cashflows. Knowing how much their investment would be in five years, given a projected rate of return, may be valuable for an investor. Future value is the idea of taking the investment's current value, applying anticipated growth, and estimating what the investment will be in the future.

The formula for future value

Future Value = Payment • [((1 + I)n - 1)/I], where I = interest rate, and n = periods.

Here we have

P = $250/month, n = 18 months, and I = 5% (0.05) per year.

Since the information involves months instead of years, it is necessary to divide the interest rate by 12 to obtain the monthly rate.

So, 0.05 ÷ 12 = 0.00416

We can enter the given information into the future value formula to obtain:

FV = $250 × [((1.00416)¹⁸ - 1)/.00416]

FV = $250 × [(1.2828 - 1)/.00416]

FV =$250 × (0.2828/0.00416)

FV = $250 × 67.980

FV ≅ $16,995

Hence, the total savings plan balance after 18 months with an APR of 5% and monthly payments of $250 is $16,995.

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The radian measure of the central angle of a circle of radius r=90 inches that intercepts an arc of length s=130 inches is:

1.4444 radians.

To determine the radian measure of the central angle of a circle of radius r = 90 inches that intercepts an arc of length s = 130 inches, you can use the following formula:

θ = s/r

Where, θ = radian measure of the central angle of the circle of radius r.

s = length of the arc.

r = radius of the circle.

Substituting the given values,

θ = s/r

θ = 130/90

θ = 1.4444 radians (rounded to four decimal places).

Therefore, the radian measure of the central angle is approximately 1.4444 radians.

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Note that  it is important to remember when converting a music file from analog data to digital data to use:

The greater the sample rate, the more snapshots of the audio stream are captured. The audio sample rate, measured in kilohertz (kHz), defines the frequency range sampled in digital audio. under most DAWs, you may change the sample rate under the audio options.

Continuous variables are numerical variables with an endless number of possible values between any two values. A continuous variable can be either numeric or date/time based.

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So the answer is 1.3 after rounding to 10.

Answer:

(2x+1)(x−2)(2x−5)

Step-by-step explanation:

(3x−6)(4x2−1)−(2x−4)(4x2+4x+1)

4x3−16x2+11x+10

=(2x+1)(x−2)(2x−5)

1+2p+9p-4

= 1 - 4 + 2p + 9p

= -3 + 2p + 9p

= -3 + 11p

A series is convergent when the sequence of partial sums, which are the sums of the first n terms in the series, approaches a finite limit as n approaches infinity. In other words, the series has a sum that can be found. On the other hand, a series is divergent if the sequence of partial sums does not approach a finite limit. This means the series does not have a sum. So, to determine if a series is convergent or divergent, analyze the behavior of its sequence of partial sums.

A series is a sum of the terms in a sequence. A convergent sequence is one that has a limit as n approaches infinity, meaning that the sequence approaches a specific value. Similarly, a sequence of partial sums is the sum of the first n terms of the series. If this sequence of partial sums converges to a specific value, then the series is convergent. However, if the sequence of partial sums diverges, meaning it does not approach a specific value, then the series is divergent. Understanding whether a series is convergent or divergent is important in various fields such as physics and engineering.
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Answer:

  47.5 cm

Step-by-step explanation:

You want the height of a trapezoid with bases of lengths 135 cm and 105 cm, and an area of 5700 cm².

The formula for the area of a trapezoid is ...

  A = 1/2(b1 +b2)h

Filling in the given values, we have ...

  5700 = 1/2(135 +105)h

  5700 = 120h

  h = 5700/120 = 47.5

The height of the tabletop is 47.5 cm.

<95141404393>

Answer:

-19

Step-by-step explanation:

\( 3 + 3 - {5}^{2} \)

\(3 + 3 - 25\)

\( = - 19\)

The probability that the top two cards in a shuffled deck do not form a pair is 48/51.

There are 52 cards in a standard deck, with 4 suits of 13 cards each. The first card drawn can be any of the 52 cards. The second card drawn cannot be the same value as the first card, or it would form a pair.

There are 3 cards of the same value as the first card (since there are 4 suits), so there are 51 - 3 = 48 cards that do not form a pair with the first card.

Therefore, the probability of drawing two cards that do not form a pair is 48/51.

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Change management is a significant challenge for many organizations during enterprise system implementation due to various factors such as resistance to change, organizational culture, lack of employee engagement, and inadequate communication and training.

During enterprise system implementation, organizations typically undergo significant changes in processes, roles, and technologies. This can lead to resistance from employees who may be accustomed to existing ways of working. Resistance to change can hinder the adoption and utilization of the new system, affecting its success.

Organizational culture also plays a role. If the organization has a rigid or hierarchical culture that is resistant to change or lacks a culture of innovation and learning, it becomes difficult to implement and integrate the new system effectively.

Lack of employee engagement and involvement in the implementation process can further impede change. Employees need to understand the reasons behind the change, how it will benefit them and the organization, and be provided opportunities for input and feedback.

Inadequate communication and training can be a major obstacle. Employees must be informed about the changes, their roles and responsibilities, and be provided with sufficient training to effectively use the new system. Insufficient communication and training can lead to confusion, frustration, and resistance.

Overall, change management is crucial during enterprise system implementation to address these challenges and ensure a smooth transition, user acceptance, and successful adoption of the new system.

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Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

If the lower level has 100 less than 2 times as many seats as the upper level then the expression is 2x-100 and the middle level has 80 more than 3 times as many seats as the upper level so it's 3x+80 and lastly the top level is just x.

so now for the equation you would add all those expressions and they all should equal 2680:

\(x+3x+80+2x-100=2680\\6x-20=2680\\6x=2700\\x=450\)

but now don't forget to plug in for the middle level:

\(3x+80\\3(450)+80\\1350+80\\1430\)

Therefore the middle level has 1430 seats.

Answer:

D is your answer fella

Step-by-step explanation:

d is not a polynomial coz it has negative power

Answer:

2

Step-by-step explanation:

50*1/5 squared

1/5 = 0.2.

0.2 squared = 0.04

0.04 * 50 = 2

The expression after simplifying gives as 2.

In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.

Given here: 50g² and g = 1/5.

Thus substituting we get 50 × 1/25=2

Hence, The expression after simplifying gives as 2.

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