18 1/2 percent turn into a fraction help asap pls

To find the equation of the tangent line to the curve described by x² + y³ + x²y³ = 3 at the point (1,1), we need to find the derivative of the curve, evaluate it at the given point to find the slope of the tangent line.

First, we differentiate the equation implicitly with respect to x:

2x + 3y² * dy/dx + 2xy³ + 3x²y² * dy/dx = 0.

Next, we evaluate this expression at the point (1,1) to find the slope of the tangent line:

2(1) + 3(1)² * dy/dx + 2(1)(1)³ + 3(1)²(1)² * dy/dx = 0.

Simplifying this equation, we solve for dy/dx:

5dy/dx = -2 - 6 = -8,

dy/dx = -8/5.

Finally, we use the point-slope form of a line with the slope dy/dx = -8/5 and the point (1,1):

y - 1 = (-8/5)(x - 1).

Therefore, the equation of the tangent line is y = (-8/5)x + 9/5.

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The answer is \($0.8-0.5625$\)

given data

Probability density function. \($f(x)=0.025 x+0.15$\)

where \($2 < x < 6$\)

Now

Probability that measurement is b/w 3 and 4

Find,\($P(3 < x < 4)$\)

\($=\int_{3}^{4} f(x) d x$\)

\($\int_{3}^{4}(0.025 x+0.15)$\)

\($=\left(\frac{0.025 x^{2}}{2}+0.15 x\right)_{3}^{4}$\)

\($=0.8-0.5625$\)

What is probability density function?

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The solution to the recurrence is `an = 2n² - n`.

From the given values, we can assume the value of `an` to be `2n² + α + βn`.

Now, `a0 = 0`.

Therefore, substituting the value of `a` in the equation `a0 = 2n² + α + βn`, we have;

`0 = 2*0² + α + β*0`.=> α = 0.

Now, `a1 = 1`.

Therefore, substituting the value of `a` in the equation `a1 = 2n² + α + βn`, we have;

`1 = 2*1² + α + β*1`.=> β = -1

Hence, the value of α is `0` and the value of β is `-1`.

Thus, the solution to the recurrence is `an = 2n² - n`.

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Answer:

Easy so first you have to find the ratio then your done!

Step-by-step explanation:

Answer:

12 is 5

13 is 80%

14 is $3000

Step-by-step explanation:

Answer:

Step-by-step explanation:

4. (6^10)^-7 is when the exponents should be multiplied

   answer is B

5. (7^3)^-2 = (7^-6)

     1/7^6 = 1/(7x7x7x7x7x7)

answer is A

2. 11^-4/11^8= 1/11^(8+4) = 1/11^12

   answer is A

3. (2^5/3^2)^4= 2^20/3^8

   answer is A

Answer:

the answer is what the other person said lol

Step-by-step explanation:

The longest side is 4 and the shortest side is 2.

A right triangle is a triangle that has three sides called the hypotenuse, adjacent and opposite side. The hypotenuse is always the longest side of the triangle.

Sin 30 = opposite / hypotenuse

0.5 = opposite / 4

= 2

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(a) Probability that a randomly selected is 9.68%; (b) 29.12% will receive the tax break; (c) Minimum and the maximum starting salaries are 35,679.71 and 4,320.29. (d) 6.3% of the total number of students.

a) P(X>30,400) = P(Z>(30,400-20,000)/8,000)

                          = 1-P(Z<1.3)

                          = 0.0968

                         = 9.68%

b) P(X<15600) = P(Z<(15600-20000)/8000)

                        = 29.12%

c) Maximum of the starting salaries of the middle 95% is

                     (x - 20,000)/8,000 = 1,96

                                                  x  = 35,679.71

Minimum of the starting salaries of the middle 95% is

                      (x - 20,000)/8,000 = -1,96

                                                   x = 4,320.29

d) P(X>32,240) = 1-P(Z<(32,240-20,000)/8,000)

                         = 0.063

Therefore, the 189 represents 6.3% of the total number of students, means that the total number is 3,000.

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The equilibrium constant for the given reaction is approximately 5.22 x 10^3.

The equilibrium constant for the reaction can be determined using the relationship between the solubility product constant (\(K_{sp}\)) and the formation constant (\(K_{f}\)) of the complexes involved.

The given reaction involves the dissolution of AgCl and the formation of the complex \(Ag(S_{2}O_{3} )_{2} ^{-3}\). The balanced chemical equation for this reaction is:

AgCl(s) ⇌ \(Ag^{+}\)(aq) + \(Cl^{-}\)(aq)

\(Ag^{+}\)(aq) + 2\(S_{2} O_{3} ^{2-}\)(aq) ⇌ \(Ag(S_{2}O_{3} )_{2} ^{-3}\)(aq)

The equilibrium constant for the overall reaction can be calculated by multiplying the equilibrium constants for each step:

K = \(K_{sp}\)(AgCl) * \(K_{f}\)(\(Ag(S_{2}O_{3} )_{2} ^{-3}\))

Given values:

\(K_{sp}\)(AgCl) = 1.8 x 10^-10

\(K_{f}\)(\(Ag(S_{2}O_{3} )_{2} ^{-3}\)) = 2.9 x 10^13

Substituting these values into the equation:

K = (1.8 x 10^-10) * (2.9 x 10^13)

K ≈ 5.22 x 10^3

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Proportionately, the amount of the drug that the patient should be given is 2,993.71 mg.

The proportion is the ratio of a variable to another.

Proportion defines the numerical relationships among variables.

Proportion shows how much a value is contained in the whole.

2.20462 lb = 1 kg

165 lb = 74.8428 kg (165/2.20462)

1 kg = 40 mg of the drug

74.8428 kg = 2,993.71 mg (74.8428 kg x 40 mg)

Thus, the amount of the drug that the patient should be given is 2,993.71 mg.

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Answer:

320 coins I think

Step-by-step explanation:

The value of x will be 3.

The length of TW will be 6 units.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In triangle TWZ,

The sides TY and YZ are equal.

Now,

Since, The sides TY and YZ are equal.

And, Side YW is common side.

∠WYT = ∠WYZ = 90°

Hence,  ΔWYT ≅ ΔWYZ

So, We get;

WT = WZ

Substitute all the values, we get;

4x - 6 = 2x

4x - 2x = 6

2x = 6

x = 3

Thus, The value of x will be 3.

And, The length of TW = 2x

                                    = 2 × 3

                                    = 6 units

Therefore, The value of x will be 3.

The length of TW will be 6 units.

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Answer:

5 + 3x = 41

x = 12 miles

Step-by-step explanation:

A taxi cab company charges a flat amount of $5.00 plus a rate of $3.00 per mile traveled.

Let x is the number of miles traveled.

If the total cost of the fare was $41.00 then

5 + 3x = 41     eq. 1

The above equation can be used to determine the number of miles traveled.

Solving the equation for x,

5 + 3x = 41

3x = 41 - 5

3x =  36

x = 36/3

x = 12 miles

Therefore, 12 is the total number of miles traveled if the fare was $41.00.

True, as Accounting and finance are closely related fields.

Accounting and finance are separate but connected professions. Accounting is the process of documenting, categorizing, and summarizing financial transactions in order to provide data that may be used to guide company decisions. The correct reporting of financial data and historical data are its main concerns.

Accounting and finance are professions that are intimately tied to one another, and many financial jobs need for a thorough knowledge of accounting concepts. Accounting is the practice of logging, categorizing, and compiling financial transactions to provide data that aids in company decision-making.

Hence, true. If you want to work in finance, it helps to have experience in Accounting.

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3rd choice is answer

Step-by-step explanation:

Answer:

.50 or 50%

Step-by-step explanation:

Since it is a fair coin, every time you flip it you have an equal chance of getting a heads or a tails. Since these are indpedent events what you got before does not affect what you will get, thus the answer being 0.50 or 50%.

The Non-real solutions for the equation \(x^{4} -x^{3}+10x^{2} -16x-96=0\) are (-4i, 4i).

Non-real solution:

An answer to a mathematical equation with the root of a negative number that cannot be determined using solely real numbers—i.e., numbers that can be described along a single axis—is referred to as a non-real solution.

If a quadratic has a negative discriminant, then the quadratic equation has a Non-real solution.

Given,

         \(x^{4} -x^{3}+10x^{2} -16x-96=0\)

On factorizing the above equation, we get

             \((x-3)(x-2)(x^{2} +16)=0\)

Applying Zero Product Property,

\(x^{2} +16 = 0\)      or     \(x-3=0\)     0r     \(x+2=0\)

Taking \(x^{2} +16 = 0\), we get

                \(x^{2} =-16\)

                x = ± \(\sqrt{-16}\)

                x = ± 4i              [∵ i = √-1]

Hence,

      The Non-real solutions for the equation \(x^{4} -x^{3}+10x^{2} -16x-96=0\) are (-4i, 4i).

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Answer:

C

Step-by-step explanation:

edge 2026

The formula for the area of a circle is A = pi x (radius^2).

We need the radius of the circle in order to use the formula. The radius is equal to 1/2 of the diameter of the circle. The radius goes from the center to one side of the circle, whereas the diameter touches two sides of the circle and goes through the center.

radius = 6 / 2 = 3 units

Remember that a semi-circle is equal to 1/2 of a full circle. So we need to find the area of the whole circle and divide it by 2.

A = pi x 3^2

A = 9pi

A = 4.5pi = 14.13 units^2

Hope this helps! :)

Look at the attached picture

Hope it will be helpful to you..

Good luck for your test...(◕ᴗ◕✿)

Answer:

7x

Step-by-step explanation:

x +2x + x + x + x + x

= x + x + x + x + x + 2x

= 5x + 2x

= 7x

The interior angle of any triangle sum to 180° in measure, so that angle ACB has measure

m∠ACB = 180° - 67° - 35° = 78°

Angles ACB and BCD are supplementary because they occur on the same ray AD, which means they also sum to 180° in measure. Then angle BCD has measure

m∠BCD = 180° - 78° = 102°

Answer:

102 degrees

Step-by-step explanation:

for this problem, add the angles given to 180 degrees to find the remaining angle ACB in the triangle. Once you have that angle, you can subtract it from 180 degrees to find BCD, because side ACD is straight. By adding Angle CAB (67 degrees) and Angle ABC (35 degrees), you end up with the missing 98 degrees to reach 180 degrees. thus, when subtracting to find BCD on the straight of ACD, a value of 102 degrees remains for Angle BCD

The total movement of the unicycle is given as follows:

39.6 m.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The diameter for this problem is given as follows:

d = 0.7m.

The radius is half the diameter, hence it's length is given as follows:

r = 0.35m.

18 compete rotations means that the total distance is 18 times the circumference of the circle, hence:

18 x 2π x 0.35 = 39.6 m.

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Answer:

Step-by-step explanation:

If You have this information about return of stock in 3

periods:

-12%, 20% and 25%.

calculate:

✘ O b. The geometric average.

The probability that a randomly selected passenger has a waiting time less than 0.75 minutes is given as follows:

0.107 = 10.7%.

The division of the number of desired outcomes by the number of total outcomes is used to calculate a probability.

The time is uniformly distributed between 0 and 7 minutes, hence the total outcomes are given as follows:

7 - 0 = 7 minutes.

Times less than 0.75 minutes are between 0 and 0.75 minutes, hence the desired outcomes are given as follows:

0.75 - 0 = 0.75 minutes.

Hence the probability is given as follows:

0.75/7 = 0.107 = 10.7%.

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Answer:

See below for answers and explanations (along with a graph)

Step-by-step explanation:

Refer to the equations for a limaçon:

y=a+bcos∅ (horizontal line of symmetry) and y=a+bsin∅ (vertical line of symmetry) where a/b determines the type of limaçon.

This is an inner loop limaçon because 36/70<1, so its horizontal axis intercepts are 36 and -36 (marked in red) and its vertical axis intercepts are 0, 36+70=106 and 70-36=34 (marked in green)

the slope of the tangent line is m = -1/3.

The slope of the tangent line to the graph of a function at a given point is given by the derivative of the function at that point. Therefore, we need to find the derivative of y = b(x) and evaluate it at x = 12 to find the slope m.

Since we know that b'(12) = -1/3, we can find the equation of the tangent line using point-slope form. The point on the tangent line is (12, b(12)) = (12, 0), so we have:

y - 0 = (-1/3)(x - 12)

Simplifying this equation, we get:

y = (-1/3)x + 4

what is graph?

In mathematics, a graph is a collection of points, called vertices or nodes, and the lines or arcs that connect them, called edges. Graphs are used to model a wide variety of phenomena, such as social networks, transportation systems, and electrical circuits. They can be directed (where edges have a direction) or undirected, weighted (where edges have a weight or value) or unweighted, and can have various properties and structures that make them useful for different purposes.

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The conditions given create a unique triangle.

Explanation:

In order to determine if a triangle can be formed with the given conditions, we need to verify if the sum of the lengths of any two sides is greater than the length of the third side. This is known as the triangle inequality theorem.

Given that AB = 4 cm and BC = 7 cm, we can check if the sum of these sides is greater than the remaining side AC. If AB + BC > AC, then a triangle can be formed.

In this case, 4 cm + 7 cm = 11 cm, which is greater than the remaining side AC. Therefore, a triangle can be formed. Since the conditions satisfy the triangle inequality theorem and there is no conflicting information, the given conditions create a unique triangle. The answer is D. unique triangle.

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The amount to which $800 will grow under each of the given conditions increases as the compounding period decreases.

The amount to which $800 will grow under each of these conditions is as follows:a) 8% compounded annually for 9 years

When compounded annually for 9 years at 8%, the formula is: Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years

Compounded annually = n = 1 Amount = $1,447.91 (rounded to the nearest cent)

b) 8% compounded semiannually for 9 years Compounded semiannually for 9 years at 8%, the formula is:

Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years Compounded semiannually = n = 2 Amount = $1,471.16 (rounded to the nearest cent)

c)  8% compounded quarterly for 9 years Compounded quarterly for 9 years at 8%, the formula is:

Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years Compounded quarterly = n = 4 Amount = $1,491.03 (rounded to the nearest cent)

d) 8% compounded monthly for 9 years Compounded monthly for 9 years at 8%, the formula is: Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years Compounded monthly = n = 12 Amount = $1,505.91 (rounded to the nearest cent)

e) 8% compounded daily for 9 years Compounded daily for 9 years at 8%, the formula is:

Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years Compounded daily = n = 365Amount = $1,511.74 (rounded to the nearest cent)

The observed pattern of FVs (future values) occurs due to compounding. Compounding is the process of earning interest not only on the principal amount invested but also on the interest earned from the principal. This results in an increase in the interest earned and the future value of the investment. The more frequent the compounding, the higher the future value of the investment. Hence, the amount to which $800 will grow under each of the given conditions increases as the compounding period decreases.

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85% is the same as 85/100.

85/100 means you can take a 5 out.

17/20 is completely simplified.

Hope this helps!

Answer: 17/20