Question 5 (4 points)
Which of the following would be equivalent to 92.967 (4 points)
O a
98
Oь
92.97
Ос
910
92
Od
90

The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept

The equation of the given line is expressed as

3x - 6y = 30

Rearranging it so that it will look like the slope intercept form, it becomes

6y = 3x - 30

Dividing both sides by 6, it becomes

6y/6 = 3x/6 - 30/6

y = x/2 - 5

Looking at the equation, slope, m = 1/2

If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2

To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute

x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes

- 9 = 1/2 * 4 + c

- 9 = 2 + c

c = - 9 - 2

c = - 11

By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be

y = x/2 - 11

Answer:

B. 84 ft²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Area of a Rectangle Formula: A = lw

Step-by-step explanation:

Step 1: Define

Identify variables

l = 14 ft

w = 6 ft

Step 2: Find Area

Rs.13680 is the answer.

Step-by-step explanation:-

Given-

•Principal (P) = Rs.57,000

•Rate (r%) = 6%

\(→ \frac{6}{100} \)

\(→ 0.06\)

•Time (n) = 4 years

Applying Interest formula,

\(→In=P \times R \times T\)

\(→57,000 \times 0.06 \times 4\)

\(→Rs.13680\)

Hence, the interest is Rs.13680

Answer: Picture is blury for me I can not see it well enough

Step-by-step explanation:

All i see is the 8 ft and 17ft cant see any of the other numbers

Answer: 24 I think if not my bad

Step-by-step explanation:

If I recall right you just have to count them

Graph for f(x)=2(x-2)²+3:

Graph for f(x)=-2(x-2)²-3:

Graph for f(x)=2(x+2)²-3:

Graph for f(x)=2(x-2)²-3:

The correct answer is the last choice.

The short-run production function (as a function of l) is q = 8l + 300 and marginal product of labor is dq/dl = 8

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a linear production function:

q = f(l, k) = 8l + 2k

Here the value of k is not given, so we are assuming the value of fixed input k is 150

q = 8l + 2(150)

q = 8l + 300

Differentiate the above function with respect to l

Marginal product of labor = dq/dl = 8

Thus, the short-run production function (as a function of l) is q = 8l + 300 and marginal product of labor is dq/dl = 8

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The transfer function of a low pass filter is a mathematical expression that describes the relationship between the input and output signals of a filter.

Function is a rule that assigns a unique output for each input of a given set of inputs. A function can be expressed mathematically, as in y = f(x), where f is the function and x is the input. Functions can also be expressed in programming, where they take the form of commands that take an input and produce an output. Functions are essential to computing and are used to perform a wide variety of tasks.

It is usually expressed in terms of frequency, and the output signal is a function of the frequency of the input signal. The transfer function can be written as a ratio of two polynomials in the frequency domain.

In a low pass filter, the transfer function is designed to pass low-frequency signals and block high-frequency signals. This is achieved by designing the filter to attenuate (reduce) the amplitude of high-frequency signals, while not significantly affecting the amplitude of low-frequency signals. The transfer function of a low pass filter takes the form of a roll-off curve, where the rate of attenuation gets steeper at higher frequencies.

The transfer function of a low pass filter is typically used to model the behavior of a physical filter, such as an RC circuit or a digital filter. It can also be used to analyze the frequency response of a system, such as a speaker system or a microphone. The transfer function can be used to optimize the design of a filter for a particular application.

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The magnitude of the motional electromotive force (emf) induced in the rod can be determined using the equation e = B * L * v, where B is the magnetic field strength, L is the length of the rod, and v is the velocity of the rod relative to the magnetic field.

When a conducting rod moves through a magnetic field, an emf is induced in the rod due to the interaction between the magnetic field and the moving charges in the conductor. The magnitude of this motional emf can be calculated using the equation e = B * L * v, where B is the strength of the magnetic field, L is the length of the rod perpendicular to the magnetic field, and v is the velocity of the rod relative to the magnetic field.

The motional emf is directly proportional to the magnetic field strength, the length of the rod, and the velocity at which the rod moves through the magnetic field. As any of these parameters increase, the magnitude of the induced emf will also increase. It is important to note that the direction of the induced emf is determined by the direction of the velocity and the magnetic field.

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Answer:

i think Point C

Step-by-step explanation:

Because Point A is you walking to the bus stop-

Point B is u waiting at the bus stop-

And point C is u on the bus

Sorry if it didn't help :/

Answer: \(\frac{61}{70}\)

Step-by-step explanation:

let's take the two given distances and add them together

\(\frac{3}{10}+\frac{4}{7}\)

Now let's make give them a common denominator of 70

To do this we need to multiply \(\frac{3}{10} (\frac{7}{7} ) and \frac{4}{7} (\frac{10}{10})\)

\(\frac{21}{70}+\frac{40}{70}\)

\(\frac{61}{70}\)

Answer:

y intercept is -2

x intercept = 4/3

Step-by-step explanation:

y intercept is -2

x intercept is when you plug zero for y value

0=3/2x-2

solve

add 2 to both sides

3/2x=2

divide 3/2 from both sides

x intercept = 4/3

When the diameter of the snowball is 23 cm, the rate at which its diameter decreases is -2.3 cm/min. The negative sign indicates a decrease in diameter.

To find the rate at which the diameter of the melting snowball decreases, we can use the relationship between the surface area and the diameter of a sphere. The surface area of a sphere is given by the formula:

A = 4πr^2,

where A is the surface area and r is the radius of the sphere.

Since we're given the rate of change of the surface area (dA/dt), we need to relate it to the rate of change of the diameter (dd/dt). The relationship between the diameter and the radius is given by:

d = 2r.

Taking the derivative with respect to time (t) of both sides, we get:

dd/dt = 2(dr/dt).

We know that dA/dt = -4.6 cm^2/min (negative sign indicates a decrease in surface area).

We need to find dr/dt when the diameter is 23 cm.

Given d = 2r, we can substitute r = d/2 = 23/2 = 11.5 cm.

Now we can substitute the values into the derived equation:

dd/dt = 2(dr/dt).

-4.6 = 2(dr/dt),

dr/dt = -4.6 / 2,

dr/dt = -2.3 cm/min.

Therefore, when the diameter of the snowball is 23 cm, the rate at which its diameter decreases is -2.3 cm/min. The negative sign indicates a decrease in diameter.

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The given initial value problem using the method of undetermined coefficients. The final solution to the initial value problem is y = cos(2x) + x - (1/9)*sin(3x).

To solve the given initial value problem, we begin by finding the general solution to the associated homogeneous equation. The homogeneous equation is given by y'' + 4y = 0. The characteristic equation is obtained by substituting y = e^(mx) into the equation, resulting in the quadratic equation m^2 + 4 = 0. Solving this equation yields two distinct roots: m_1 = 2i and m_2 = -2i. Thus, the general solution to the homogeneous equation is y_h = c_1cos(2x) + c_2sin(2x), where c_1 and c_2 are arbitrary constants.

Next, we assume a particular solution in the form of y_p = Ax + B + Csin(3x) + Dcos(3x), where A, B, C, and D are undetermined coefficients. We substitute this particular solution into the given differential equation and solve for the coefficients. Comparing the coefficients of like terms, we find A = 0, B = 1, C = -1/9, and D = 0.

The particular solution is y_p = x - (1/9)*sin(3x), and the complete solution is obtained by adding the particular solution to the homogeneous solution: y = y_h + y_p. Applying the initial condition y(0) = 1, we find that c_1 = 1 and c_2 = 0. Therefore, the final solution to the initial value problem is y = cos(2x) + x - (1/9)*sin(3x).

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Given:

In triangle \(ABC, AB=9,BC=4,AC=7\).

To find:

The measure of angle C.

Solution:

We have, \(AB=9,BC=4,AC=7\). It means \(c=9,a=4,b=7\).

According to the law of cosines:

\(cos C=\dfrac{a^2+b^2-c^2}{2ab}\)

\(cos C=\dfrac{4^2+7^2-9^2}{2(4)(7)}\)

\(cos C=\dfrac{16+49-81}{56}\)

\(cos C=\dfrac{-16}{56}\)

Taking cos inverse on both sides, we get

\(C=cos^{-1} \dfrac{-16}{56}\)

\(C=106.60155\)

\(C\approx 106.6\)

Therefore, the correct option is C.

The correct answer is: No, neither method shows that factors are necessary or sufficient.

The methods of agreement and difference are both used in causal inference to analyze the relationship between factors and outcomes. However, neither method alone can determine whether factors are necessary or sufficient conditions.

The method of agreement examines cases where the outcome occurs and compares the presence or absence of different factors. If a factor is consistently present in all cases where the outcome occurs, it suggests that the factor may be related to the outcome. However, this method does not provide information about whether the factor is necessary or sufficient.

On the other hand, the method of difference compares cases where the outcome occurs and cases where it does not, identifying factors that are present in the former but absent in the latter. This method helps identify factors that are associated with the outcome, but it also does not establish whether the factors are necessary or sufficient conditions.

To determine whether a factor is necessary or sufficient, additional evidence and reasoning are required. Additional experiments, data analysis, or theoretical considerations are needed to establish the causal relationship and determine the nature of the factor's influence on the outcome. Hence, "No, neither method shows that factors are necessary or sufficient" is the correct option.

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The area of a circle is pi times the radius squared (A = π r²). Example of calculating the area of a circle is in the image below.

x=13, no idea what y is.

Question example:

Tori bought one share of Chipotle stock on Nov 1, 2016 for $396.33. Then, four years later, she sold it and the closing price for that day was $778.38.

a)How much money did she gain/lose with this stock?

b)What was Tori’s return on investment?

Answer and explanation:

The ROI(Return on investment) formula calculates the percentage return on the initial cost of investment.

To calculate return on investment, we must first calculate how much is gained or lost by subtracting price of investment when sold from price of investment when bought.

In the question above, the gain on the investment is gotten by subtracting closing price of Chipotle stock four years later $778.38 from price of Chipotle stock when it was bought on Nov 1, 2016 $396.33= $382.05

By getting our gain or loss on investment first, we are able to find the Return on investment(ROI) in percentage thus: $382.05/$396.33×100/1= 96.39%

We simply cannot divide first before subtraction because we need to get the gain or loss on investment and then express it as a percentage of the initial investment cost to get our ROI

Answer:

The values of x that make the triangles congruent.

x = 6 and x = 3

Step-by-step explanation:

Given

Given that the triangles are congruent.

According to the SAS (Side-Side-Side)

AC = DC

AB = DB

so

AC = DC

substituting AC = 5x-2 and DC = 3x+10

5x-2 = 3x+10

5x-3x = 10+2

2x = 12

divide both sides by 2

2x/2 = 12/2

x = 6

and

AB = DB

substituting AB = 5x and DB = 4x+3

5x = 4x+3

5x-4x = 3

x = 3

Therefore, the values of x that make the triangles congruent.

x = 6 and x = 3

the initial expression is:

Answer:

all prime numbers less than its square root.

Step-by-step explanation:

Answer:

= 8 mp /h

Step-by-step explanation:

Average speed=total distance/total time

=20/2.5

=8 mp/h

Answer:8mp/h

Step-by-step explanation:

As per the concept of standard deviation the statement that is not true is "f) None of the above".

The term standard deviation in math is known as the process of measure the spread of the data about the mean value and it is useful in comparing sets of data which may have the same mean but a different range.

Here it is important to understand the concept of sampling distribution, particularly the sampling distribution of the sample mean.

Statement (a) is true. The sampling distribution of the sample mean is often reasonably similar to the distribution of the population from which the sample is taken.

Statement (b) is also true. As the sample size increases, the normal approximation to the sampling distribution of the sample mean becomes better.

Statement (c) is true as well. The standard deviation of the sampling distribution of the sample mean can be calculated using the formula σ/√n, where σ is the standard deviation of the population and n is the sample size.

Statement (d) is somewhat true. The sampling distribution of the sample mean is indeed approximately normal, mound-shaped, and symmetric for sample sizes greater than 30, but this rule of thumb is not strict.

Statement (e) is true. The expected value of the sample mean is always the same as the expected value of the population mean.

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The local maximum and minimum values of the function are as follows: maximum at (smaller x value), minimum at (larger x value), and there are no saddle points.

To find the local maximum and minimum values of the function, we need to analyze its critical points, which occur where the partial derivatives are equal to zero or do not exist.

Let's denote the function as f(x, y) = -8 - 2x + 4y - x^2 - 4y^2. Taking the partial derivatives with respect to x and y, we have:

∂f/∂x = -2 - 2x

∂f/∂y = 4 - 8y

To find critical points, we set both partial derivatives to zero and solve the resulting system of equations. From ∂f/∂x = -2 - 2x = 0, we obtain x = -1. From ∂f/∂y = 4 - 8y = 0, we find y = 1/2.

Substituting these values back into the function, we get f(-1, 1/2) = -9/2. Thus, we have a local minimum at (x, y) = (-1, 1/2).

There are no other critical points, which means there are no local maximums or saddle points. Therefore, the function has a local minimum at (x, y) = (-1, 1/2) but does not have any local maximums or saddle points.

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Answer:

the area of rectangle is 12x²+17x-5

Answer:

4 days

Step-by-step explanation:

There are 8 pints in a gallon, so it would take 4 days to finish 1 gallon.

Natalie take 4 days to drink 1 gallon of milk.

What is Unitary method?

It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

Natalie drinks = 2 pints milk each day.

We know

1 gallon = 8 pints

So, 1 gallon drinks take= 8/2 = 4 days

Hence, Natalie take 4 days to drink 1 gallon of milk.

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Answer:

Gain = $666.67

Step-by-step explanation:

The businessman exchanged 660000 INR to US Dollar using the exchange rate of $1 = INR 110

Value of the money in dollars is;

(660000 × 1)/110 = $6000

Now, Nepali currency is reevaluated by 10%. This means it's value has gone up by 10%.

Thus, exchange rate of $1 is now;

110 - 10%(110) = INR 99

Thus, 660000 INR to US Dollar using this new exchange rate gives;

(660000 × 1)/99 = $6666.67

Therefore he made a gain.

Gain = 6666.67 - 6000

Gain = $666.67

The probability that Betty gets an A in math based on a coin flip decision is 0.8.

The given information states that Betty estimates her probability of receiving an A grade in a math course to be 0.8. However, her decision-making process is based on flipping a fair coin. In this case, the coin flip does not affect the probability of Betty's performance in the math course. Therefore, the probability of her getting an A in math remains the same as her initial estimation, which is 0.8.

In other words, the outcome of the coin flip is independent of Betty's ability or performance in the math course. It does not affect the probability she assigned to receiving an A grade. The coin flip simply serves as a random decision-making mechanism, and regardless of the coin flip's outcome, the probability of her getting an A in math remains 0.8.

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Answer:

k\

Step-by-step explanation:

j