Please explain on how to solve for the second answer.

The standard parameterization for the tangent line  is x = 12t + 18 , y = 3t + 13 , z = 54t + 54

Equation of this type is known as a parametric equation; it uses an independent variable known as a parameter (commonly represented by t) and dependent variables that are defined as continuous functions of the parameter and independent of other variables.

Given that,

Given that, t = t0 = 3, I + (3t + 4) j + (2t 3) k

In order to get the tangent line to the curve at t=3, (x, y, z) = 18, 13, and 54,

r'(t) = 4t, 3, > and r'(t=3) = 12, 3, 54>. (18, 13, 54)

finally,

x = 12t + 18

y = 3t + 13

z = 54t + 54

The tangent line's usual parameterization is as follows:

x=12t+18, y=3t+13, and z=54t+54

For additional information on parametric equations

brainly.com/question/29168942

#SPJ4

While secondary wastewater treatment may also contribute to the removal of nutrients and disinfection, its main goal is to remove organic compounds from the wastewater. This is achieved through the utilization of different treatment methods that promote the decomposition and conversion of organic matter into environmentally safe forms.

Secondary wastewater treatment is a process that follows primary treatment and focuses on the removal of dissolved and colloidal organic matter, as well as the reduction of nutrients and pathogens. The primary objective of secondary treatment is to break down the organic compounds present in wastewater and convert them into stable forms, such as carbon dioxide and water, which are less harmful to the environment.

various treatment methods are commonly used in secondary wastewater treatment, such as biological processes (activated sludge, trickling filters), physical processes (membrane filtration), and chemical processes (flocculation, coagulation).

Learn more about secondary wastewater visit:

https://brainly.com/question/16027968

#SPJ11

The area of the tail is 1 minus the area to the left of 2.11. So, you can look up the area to the left of 2.11 in the z-table, which is 0.9823, and subtract it from 1 to get the area of the tail, which is 0.0177.

The p(z ≥ 2.11) is 0.0177.

To calculate the p(z ≥ 2.11), you can use a z-table to look up the z-score. This z-score falls in the area of the tail of the distribution, which means it is the area to the right of 2.11.

The area of the tail is 1 minus the area to the left of 2.11. So, you can look up the area to the left of 2.11 in the z-table, which is 0.9823, and subtract it from 1 to get the area of the tail, which is 0.0177.

The p(z ≥ 2.11) is 0.0177.

learn more about area here

https://brainly.com/question/27683633

#SPJ4

The value of the given expression (a + b/2)/a - bx² = 219.5/(76 - 287x²).

An expression is the combination of variables, coefficients, and constants that are separated by an arithmetic operator(+, -, ...).

The given expression is

(a + b/2)/a - bx²

It is given that a = 76 and b = 287

On substituting,

(a + b/2)/a - bx² = (76 + 287/2)/76 - 287x²

⇒ (76 + 143.5)/76 - 287x²

⇒ 219.5/(76 - 287x²)

Therefore, the given expression for the values a = 76 and b = 287 is 219.5/(76 - 287x²).

Learn more about an expression here:

https://brainly.com/question/723406

#SPJ1

Answer:

376.990444... \(cm^{2}\) or 376.99 \(cm^{2}\) ( It says in terms of π so your answer is 120 π, sorry :) )

Hope this helps!

Step-by-step explanation:

To find the surface area of a cylinder you need to find the area of the 2 circles and the area of the rectangle.

The area of a circle is \(\pi\) × \(r^{2}\)

So, the area of one circle is \(\pi\) × 36 = 113.097335529...

113.097 × 2 = 226.194

The area of the rectangle is 4 × 2\(\pi r\) ( circumference of the circle is the rectangle's length )

The area of the rectangle is 4 × 12\(\pi\) = 4 × 37.699111... = 150.796444...

Add the area of the rectangle with the area of the 2 circles to get 376.990444... \(cm^{2}\).

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

learn more about exterior angle theorem from

https://brainly.com/question/17307144

#SPJ1

Solution to the equation 4x+2 = 12 using the change of base formula is x = 1.442114.

The given equation is 4x+2 = 12.

To solve for x using the change of base formula, we need to isolate x on one side of the equation. We start subtracting 2 from LHS and RHS:

4x+2-2 = 12-2

4x = 10

Next, we use the change of base formula, which states log base a of b is equal to log base c of b divided by log base c of a. In this case, we want to find x, which is the exponent that 4 is raised to in order to get 10.

Rewrite equation:

x = log base 4 of 10

Use the change of base formula, we can present this as:

x = \(log base 10 of 10 / log base 10 of 4\)

Simplifying:

x = 1.442114

Solution to the equation 4x+2 = 12 using the change of base formula is x = 1.442114.

In conclusion, using the change of base formula, the answer to the equation 4x+2 = 12 is roughly 1.442114. This method can be used to solve a variety of problems in the sciences, engineering, and financial sectors, as well as exponential and logarithmic equations.

Learn more about formula here:

https://brainly.com/question/30098455

#SPJ4

Answer:

14

Step-by-step explanation:

|-14|=14

Answer:

The volume is 216 cm³

Step-by-step explanation:

Hope this helped Mark BRAINLEST!!!

Answer:

16

Step-by-step explanation:

A² for A = -4

= (-4)²

= (-4) × (-4)

= 16

Answer:

A² = 16

Step-by-step explanation:

Substitute A = - 4 into the expression

A² = (- 4)² = - 4 × - 4 = 16

Answer:

m=2

Step-by-step explanation:

(0,-4) -> (0,4)

(1,-2) -> (-1, 2)

2-4/-1-0

m= -2/-1

m= 2

The measure of the central angle m ∠JIK is 160°.

Given that the circle I, in which IJ is the radius of 9 units, the area of shaded sector = 36π, we need to find the m ∠JIK, the central angle.

Area of the sector = central angle / 360° × π × radius²

∴ 36π = m ∠JIK / 360° × π × 9²

m ∠JIK = 360° × 4 / 9

m ∠JIK = 160°

Hence, the measure of the central angle m ∠JIK is 160°.

Learn more about central angles, click;

https://brainly.com/question/15698342

#SPJ1

The situation that can be represented by the expression x-2 where x represents the original price (in dollars) is B) $2 less than the original price

The value of x-2 symbolizes a price, subtracted with two dollars. However, if "$2 less than three-quarters of the original price" is to be written and represented through an expression, it becomes (3/4)x - 2 instead of x-2.

.

Thus, showing that this situation cannot be indicated by x-2. On the other hand, " $2 less than the original price" can be rightfully denoted using the expression x-2. It fulfills the task effectively and accurately represents the given scenario.

Learn more about expressions on

https://brainly.com/question/1859113

#SPJ1

Answer:

C

BC=35in

Step-by-step explanation:

21/3=7

multiply 5 by 7

5 X 7=35

Answer:

b = -1

Step-by-step explanation:

if you did not skip anything from the original question (the space in "8 b" is suspicious), we have

3ax - 8b = 4x + 6a

to be true for all x, the variable parts of both sides must be equal, and then the constant parts of both sides must be equal.

so,

3ax = 4x

3a = 4

a = 4/3

-8b = 6a = 6×4/3 = 2×4 = 8

-8b = 8

b = -1

To find b in the equation 3ax - 8b = 4x + 6a, first solve for the constant a as 4/3 by equating coefficients of x. Then, equating constant terms gives b as -1.

In the equation 3ax - 8b = 4x + 6a, first, you compare coefficients of x on the left and right side, which means 3a should be equal to 4, giving you the value of a which is a = 4/3.

Then, the constant terms should be equal on both sides as well hence, -8b = 6a gives you -8b = 6*(4/3), so b = -1.

Therefore, given the original equation and that a is a constant, the equation is true for all values of x if a = 4/3, and b = -1.

https://brainly.com/question/18322830

#SPJ2

The percentage of the seats in the theater were filled by the 6th graders on the trip is 78%.

Percentage is a measure of frequency that is expressed as the fraction of a number out of 100.

The percentage of the seats in the theater were filled by the 6th graders = (number of filled seats / total number of seats) x 100

(2496/3200) x 100 = 78%

To learn more about percentages, please check: https://brainly.com/question/25764815

#SPJ1

Answer:

the minimum amount of money that the operator earns when n people ride the bus is $10.5 and the maximum amount of money that the operator earns when n people ride the bus is $35.

Amount = 3.5n

The Net Present Value (NPV) for project A is (a) $29,187.

The Internal Rate of Return (IRR) for project A is (a) 14.03%.

(a) Yes, The project should be undertaken.

The Net Present Value (NPV) is a financial metric used to assess the profitability of an investment project by calculating the present value of its expected cash flows. In this case, project A has an initial cost of $180,000 and is expected to generate cash flows of $60,000 per year for the first two years and $80,000 per year for the last two years. The required return for the project is 12%.

To calculate the NPV, we discount each cash flow back to its present value using the required return. The present value of the cash flows for the first two years can be calculated as follows:

Year 1: $60,000 / (1 + 0.12) = $53,571.43

Year 2: $60,000 / (1 + 0.12)² = $47,733.63

Similarly, the present value of the cash flows for the last two years can be calculated as follows:

Year 3: $80,000 / (1 + 0.12)³ = $58,783.53

Year 4: $80,000 / (1 + 0.12)⁴ = $52,406.25

Adding up all the present values of the cash flows and subtracting the initial cost, we get:

NPV = ($53,571.43 + $47,733.63 + $58,783.53 + $52,406.25) - $180,000 = $29,187

The positive NPV indicates that the project is expected to generate a return higher than the required rate of return. Thus, undertaking the project is financially viable.

Learn more about Net Present Value

brainly.com/question/32720837

#SPJ11

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

Read more about domain at

https://brainly.com/question/31900115

#SPJ1

Using the following building blocks in the right column to assemble a direct proof that the product of two odd numbers is odd, we have:

A mathematical proof is an inferential justification for a mathematical claim that demonstrates how the premises logically support the conclusion.

The direct proof has been assembled above,

Read more about math proofs here:

https://brainly.com/question/28159445

#SPJ1

The equation to predict how many hours, x, the second part of the trip will take is :x = (total distance - distance traveled in the first part) / average speed x = (125 - 75) / 50  x = 1

To predict how many hours, x, the second part of the trip will take, we can use the equation:

x = (total distance - distance traveled in the first part) / average speed

In this case, the total distance of the trip is 125 miles, and the distance traveled in the first part is the product of the average speed and the time taken for the first part, which is 50 miles/hour * 1.5 hours = 75 miles.

Substituting these values into the equation, we have:

x = (125 - 75) / 50

Simplifying the equation, we get:

x = 50 / 50

x = 1

Therefore, the equation to predict how many hours, x, the second part of the trip will take is:

x = (total distance - distance traveled in the first part) / average speed

x = (125 - 75) / 50

x = 1

This means that the second part of the trip will take 1 hour to complete after the bus stops to refuel.

for more such question on average visit

https://brainly.com/question/130657

#SPJ8

Answer:

Step-by-step explanation:

x= -5,1,4,6 y=9,0,-7,-1

the range of a given function equals to the value of y in order

range = -7,-1,0,9

Answer:

Number of chicken sandwiches = 150

Number of turkey sandwiches = 150

Number of roast beef sandwiches= 100

Step-by-step explanation:

We are told the school cafeteriat makes and sells 3 different types of sandwiches which are; chicken, turkey and roast beef.

Let chicken be x, turkey be y and roast beef be z.

We are told they make 400 sandwiches in total.

Thus;

x + y + z = 400

However, we are told that the cafeteria makes same number of chicken and turkey sandwiches.

Thus, x = y

Thus;

Total is now;

x + x + z = 400

2x + z = 400 - - - (eq 1)

Now,we are told that chicken, turkey and roast beef sandwiches are sold for $3, $3.5 and $4 respectively. Also that the total amount realized from sales is $1375.

Thus;

3x + 3.5y + 4z = 1375

Since x = y. Thus;

3x + 3.5x + 4z = 1375

6.5x + 4z = 1375 - - - (eq 2)

Let's make z the subject in eq 1.

Thus;

z = 400 - 2x - - - (eq 3)

Putting 400 - 2x for z in eq(2) gives us;

6.5x + 4(400 - 2x) = 1375

6.5x + 1600 - 8x = 1375

1600 - 1375 = 8x - 6.5x

225 = 1.5x

x = 225/1.5

x = 150

Putting 150 for x in eq 3 gives;

z = 400 - 2(150)

z = 400 - 300

z = 100

Since x = y. Then y = 150

Answer:

150

Step-by-step explanation:

The common difference, d, is +3      add +3 to find the next term.

  to find the second term add +3 to the first term

     to find the third term add  2 * +3

        to find the 60th term add  59 * +3 to the first term

                 -27  +   (59*3) = 150

1.The shape formed from intersection are hemisphere, cone and triangular prism

2. The only figure that is not a polyhedron is the second figure.

Any three-dimensional geometric solid known as a polyhedron is composed of flat polygonal faces, angular edges, and pointy vertices. It is an interesting object with a variety of straightforward to intricate forms. Polyhedrons can be found in crystals and various biological forms in the natural world.

Polyhedrons have two-dimensional polygonal faces, which give them their characteristic shape. These faces are connected by edges, which are line segments where two faces converge. At every intersection of edges, we identify vertices. The number and arrangement of faces, edges, and vertices determine the kind of polyhedron.

1. In the question given, the shape formed by intersection of the plane are hemisphere, cone and a triangular prism.

2. The only figure that is not a polyhedron is the second figure.

In the second figure, the figures formed from intersection of the plane are hemisphere, cone and triangular prism respectively.

Learn more on polyhedrons here;

https://brainly.com/question/27782111

#SPJ1

Answer:

4%/ a interest compounded semi-annually

Step-by-step explanation:

The option that gives the lower interest rate payment would be more appropriate. to determine this calculate the effective interest rate

Effective annual rate = (1 + APR / m ) ^m - 1

M = number of compounding

(1 + 0.04/2)^2 - 1 = 4.04%

(1 + 0.04/12)^12 - 1 = 4.07%

the choice should be 4%/ a interest compounded semi-annually

Answer:

34%

Step-by-step explanation:

34/99÷1/100=

34/99×1/100=

17/99×1/50=

17/4959=34%

Answer:

Claire should have gotten –2y = –8 instead of 2y = –8 in step 4.

Step-by-step explanation:

Following the steps taken :

4x - 2y = 4 - - - (1)

3x + 3y = 21 - - - (2)

Multiply (1) by 3 and (2) by 2

12x - 6y = 12 - - - (3)

6x + 6y = 42 - - - (4)

Add (3) and (4)

18x = 54

x = 54/18

x = 3

Put x = 3 in (1)

4(3) - 2y = 4

12 - 2y = 4

-2y = 4 - 12

-2y = - 8 (this is where the mistake lies)

It shouldn't be 2y = - 8 as stated

Answer:

The other dude is right.

Step-by-step explanation: