Help please!! I have to show work and it’s for finals

Answer:

$21,942

Step-by-step explanation:

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Answer:

$21,942

Step-by-step explanation:

6%=0.06

20,700*0.06=1,242

$20,700+$1,242=$21,942

Answer: It's A

Step-by-step explanation:

Rounded to three decimal places, the estimated proportion is 0.400 or 4/10.

Proportion is a mathematical term that describes the relationship between two or more quantities that are related to each other in some way. A proportion is a statement that two ratios or fractions are equal. In other words, if a/b = c/d, then we say that a and b are in proportion to c and d.

The estimated proportion of people who were caught after being on the 10 most wanted list can be calculated as the ratio of the number of people who were caught to the total number of suspected criminals in the sample:

Proportion caught = Number caught / Total number in sample

Proportion caught = 406 / 1016

Proportion caught = 0.3996 (rounded to four decimal places)

Expressed as a fraction, this is 3996/10000.

Rounded to three decimal places, the estimated proportion is 0.400 or 4/10.

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False. The intercepted arc is actually twice the measure of the inscribed angle only if the inscribed angle is an angle at the center. If the inscribed angle is not at the center, the intercepted arc will have a different measure.

So, in general, the relationship between the measure of the intercepted arc and the inscribed angle it was created from depends on the location of the inscribed angle in the circle. This is a long answer, but it provides a detailed explanation of the relationship between the intercepted arc and the inscribed angle in different scenarios.

AN intercepted arc is twice the measure of the inscribed angle it was created from.
In a circle, when an inscribed angle is formed by two chords, it intercepts an arc on the circle. According to the Inscribed Angle Theorem, the measure of the inscribed angle is half the measure of the intercepted arc. Therefore, the intercepted arc is indeed twice the measure of the inscribed angle.

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Answer:

4x-14 jrjejejeueuueuw

Answer:

Total Money spent on Music CDs = 10 \(\times\) 10 = $100

Total Money spent on Cassette tapes = 4 \(\times\) 3 = $12

Step-by-step explanation:

Given that:

Total money spent = $112

Number of music purchases = 14

Cost of one Music CD = $10

Cost of one cassette = $3

To find:

How much money was paid for each music CD and each cassette.

Solution:

Let the number of Music CDs purchased = \(x\)

Money spent on Music CDs = \(\$10\times x\)

Then the number of cassette tapes purchased = \(14-x\)

Money spent on cassette tapes = \(\$3\times (14-x)\)

As per the question statement:

\(10x+3(14-x)=112\\\Rightarrow 10x+42-3x=112\\\Rightarrow 7x=112-42\\\Rightarrow 7x=70\\\Rightarrow x =10\)

Therefore, number of Music CDs purchased = 10

Total Money spent on Music CDs = 10 \(\times\) 10 = $100

And number of cassette tapes purchased = 14 - 10 = 4

Total Money spent on Cassette tapes = 4 \(\times\) 3 = $12

Answer:

Step-by-step explanation:

3

The quadratic equation is:

To find if the number of solutions, we use the discriminant of the equation. But first, we compare the given equation with the general quadratic equation:

By comparison, we find the values of a, b, and c:

Now, as we said previously, we have to use the discriminant to find the number of solutions. The discriminant is defined as follows:

• If the value of D results to be equal to 0, there will be 1 real solution.

• If the value of D results to be greater than 0, there will be 2 real solutions.

• And if the value of D results to be less than 0, there will be no real solutions.

We substitute a, b and c into the discriminant formula:

Solving the operations:

As we can see, the value of D is less than 0 (D<0) which indicates that there will be no real solutions for this quadratic equation.

Answer: No real solutions

Using the Newton-Raphson method with an initial guess of x = 0.5 and y = 2.5, we can estimate a root for the equation xsiny + x^2cosy = 0. The estimated root is approximately (x, y) = (0.539, 2.478).

The Newton-Raphson method is chosen for its ability to find roots of equations iteratively using the derivative of the function.

The Newton-Raphson method is an iterative numerical method used to find roots of equations. It relies on using the derivative of the function to iteratively refine an initial guess and approach the root.

To apply the Newton-Raphson method, we start with an initial guess for the root. In this case, the initial guess is x = 0.5 and y = 2.5.

We then need to compute the partial derivatives of the function with respect to x and y, which are:

∂f/∂x = sin(y) + 2xcos(y)

∂f/∂y = xcos(y) - x^2sin(y)

Using these partial derivatives, we can construct the iteration formula:

x_{n+1} = x_n - f(x_n, y_n) / (∂f/∂x)

y_{n+1} = y_n - f(x_n, y_n) / (∂f/∂y)

We iterate this process until we reach a desired level of accuracy or convergence.

Using the Newton-Raphson method with the initial guess x = 0.5 and y = 2.5, we evaluate the function f(x, y) = xsiny + x^2cosy and its partial derivatives at these values.

Next, we substitute the values into the iteration formula and compute x_{n+1} and y_{n+1}. We repeat this process until we reach the desired level of accuracy.

After several iterations, we find that the estimated root close to x = 0.5 and y = 2.5 is approximately (x, y) = (0.539, 2.478).

The Newton-Raphson method is chosen in this case because it provides a fast convergence towards the root and utilizes the derivative information of the function. By iteratively refining the initial guess, we can estimate a root for the given equation.

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Answer:

y = 2x + 3

Step-by-step explanation:

⇒ Since the coordinate (0, 3) is given, the y-intercept (b) is 3.

⇒ The rate of change is that for every unit that x increases in, the y increases by 2. So, the slope is 2.

⇒ Put all the information is Slope-intercept form, y=mx+b to get:

y = 2x + 3

Hope this helps! :)

The last to appear in the ones position of a number in the Fibonacci sequence is 6.

The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21 , … starts with two 1s, and each term afterward is the sum of its two predecessors.

The next terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.

Here, it can be seen that  is the last to appear in the ones position of a number in the Fibonacci sequence.

Thus, The last to appear in the ones position of a number in the Fibonacci sequence is 6.

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The time taken by the reaction to reach 36 degrees will be 3.75 minutes. Then the correct option is C.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The temperature of an intensity delivering synthetic response is straightforwardly relative to the square of the time slipped by. The response began at 0 degrees and arrived at 64 degrees in a short time.

The proportionality is given as,

T ∝ t²

T = kt²

Where T is the temperature, t is the time, and k is the constant of proportionality.

The time taken by the reaction to reach 36 degrees will be given as,

36 / 64 = t² / 5²

0.5625 = t² / 25

t² = 14.0625

t = 3.75 minutes

The time taken by the response to arrive at 36 degrees will be 3.75 minutes. Then the right choice is C.

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Answer:

n = 2

Step-by-step explanation:

14 = n

7       1

cross-multiply:  7n = 14

n = 2

An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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The probability that the student makes it to the second class before it starts is very close to 0.

To find the probability that the student makes it to the second class before it starts, we can use the concept of linear combinations of random variables and the properties of normal distributions.

Let's define the random variable X as the total time it takes for the student to transition from the end of the first class to the start of the second class. Since X is a linear combination of independent normally distributed random variables (X1, X2, X3), we can use their means and variances to calculate the mean and variance of X.

The mean of X is the sum of the means of X1, X2, and X3:

μX = μ1 + μ2 + μ3 = 9:02 + 9:15 + 10 = 28:17 minutes.

The variance of X is the sum of the variances of X1, X2, and X3:

σX^2 = σ1^2 + σ2^2 + σ3^2 = (2.5)^2 + (3)^2 + (2.5)^2 = 15.25 minutes^2.

Now, we need to calculate the probability that X is less than or equal to 0, meaning the student arrives before the second lecture starts. Since X follows a normal distribution, we can standardize the variable and calculate the probability using the standard normal distribution table.

Z = (0 - μX) / σX = (0 - 28:17) / √15.25 ≈ -9.43.

Using the standard normal distribution table or a calculator, we can find the probability corresponding to Z = -9.43. The probability is essentially 0, as the value is significantly far in the left tail of the standard normal distribution.

Therefore, the probability that the student makes it to the second class before it starts is very close to 0.

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Answer:

35. Domain is -∞,∞ Range is y=0.

Step-by-step explanation:

No solution.

Answer:

43ft

Step-by-step explanation:

side a = x ft

side b = 10 ft

side c = 18 ft

x = 14.967

rounds to = 15

10 + 18 + 15 = 43

43 ft of fence needed

Answer:

c. 52 rad/s

Step-by-step explanation:

Final question does not correspond with available option. The real question is: What is the angular speed in radians per second?

At first we assume that spin balance rotates at constant rate and convert given angular speed, measured in revolutions per minute, into radians per second:

\(\omega = \left(500\,\frac{rev}{min} \right)\cdot \left(2\pi\,\frac{rad}{rev} \right)\cdot \left(\frac{1}{60}\,\frac{min}{sec} \right)\)

\(\omega \approx 52.360\,\frac{rad}{s}\)

Which corresponds to option C.

Answer:

The Manchester, England sweater is more expensive.

27 GBP is equal to 49.52 CAD, which is more than the 38 CAD from the afterwards.

Step-by-step explanation:

i. The wind power is calculated to be approximately 10.44 MW.

ii. The mechanical power that could be achieved by the wind turbine rotor is approximately 9.58 MW.

iii. The electrical power output of the wind turbine is approximately 8.77 MW.

To determine the wind power, we need to use the formula: P_wind = 0.5 * ρ * A * V^3, where ρ is the air density, A is the swept area of the turbine rotor, and V is the wind speed. Given the air flow rate and speed, we can calculate the wind power to be approximately 10.44 MW. The mechanical power that could be achieved by the wind turbine rotor is calculated by multiplying the wind power by the power coefficient, which is the maximum possible efficiency of the wind turbine according to the Lanchester-Betz limit. In this case, the mechanical power is approximately 9.58 MW. Finally, the electrical power output of the wind turbine is determined by considering the efficiencies of the gear, generator, and electric system. By multiplying the mechanical power by the product of these efficiencies, we can find the electrical power output, which is approximately 8.77 MW. Overall, based on the given data and the mentioned efficiencies, the wind power is converted into mechanical power by the rotor and further into electrical power by the generator and other components of the wind turbine system.

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Answer:

x=(3e+2d)/(2g-ef)

Step-by-step explanation:

d=e(3+fx)/(2+gx)

or, 2d+2gx=3e+efx

or, 2gx-efx=3e+2d

or, x(2g-ef)=3e+2d

or, x=(3e+2d)/(2g-ef)

Answer:

x = (-2d + 3e) / (dg - fe)

Step-by-step explanation:

We solve it by using algebra.

1. Multiply each side by 2 + gx:

dgx + 2d = fxe + 3e

2. Subtract fxe on both sides:

dgx − fxe + 2d = 3e

3. Subtract 2d from both sides:

dgx − fxe = −2d + 3e

4. Factor out x:

x (dg − fe) = −2d + 3e

5. Divide dg - fe:

x = (-2d + 3e) / (dg - fe)

I hope this helped! :D

Answer:

I do not believe this is a function because the points on the graph are above each other on one line.

Step-by-step explanation:

Coterminal Angles are angles that share the same initial side and terminal sides.

Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.

QUESTION A

The angle is given as 600°.

To find the coterminal angle between 0° and 360°, we subtract 360° from the angle.

Therefore,

The coterminal angle is 240°.

QUESTION B

The angle is given as

To get an angle between 0 and 2π, we will add 2π to it.

Hence, we have

The coterminal angle is π/2.

Answer:

E

Step-by-step explanation:

\(3 \leq x-2 \\ \\ x-2 \geq 3 \\ \\ x \geq 5\)

Answer:

E

Step-by-step explanation:

if it is supposed to be more or equal to then it has to add 5 or more. It has to add 5 or more because the 2 is negative and 5-2 is 3 so it has to be at least 5

Answer:

The selections are;

The system is inconsistent because the slopes are the same = Not correct

The system is independent because the y-intercept are different = Not correct

Step-by-step explanation:

An independent system of equations is a system that has only one solution, while an therefore, have different slope

An inconsistent has no solution, and therefore, have the same slope but different y-intercept

Therefore, we have;

The system is inconsistent because the slopes are the same = Not correct

The system is independent because the y-intercept are different = Not correct

Answer:

Domain: 7,2

Range: 9,7

Slope is 2/5

Step-by-step explanation:

Domain is basically the x coordinates, which are 7 and 2 in this case. Range is the y coordinates: 9 and 7.

The slope is basically the line that connects these two dots.

Slope formula is (y2-y1)/(x2-x1)

But the points of the grid would be listed as (x1,y1) (x2,y2)

I don't know if I'm explaining this well enough, but if you follow that formula you get (7-9)/(2-7).

That equals to 2/5.

I hope this helped