Write an equation in standard form of the line that passes through (4,−1) and has the slope m=3.

Answer:

A Rational Number can be made by dividing an integer by an integer. (An integer itself has no fractional part.)

Answer: The answer is 13, read on to find out

Step-by-step explanation: The traingles are simliar so the values are similar as well. Find a lowest common factor of the values.

The lowest common factor is 4 because all the numbers can be divided by the number 4.

20 divided by 4 is 5 which is already shown on the graph

48 divided by 4 is 12

All we have to do now is 52 divided by 4

Hope I helped you answer the question! Have a great day/afternoon!

Answer:

800 times

Step-by-step explanation:

The required inequality is \(p\geq2\)

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by \(> , < , \geq, \leq\)

A one degree inequation is known as linear inequation.

On the day of the test, the teacher instructed the students to take out no less than 2 pencils from their backpacks.

Let the number of pencils be p

So the required inequality is \(p\geq2\)

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1.To find the median, we need to arrange the data in ascending order: 0, 1, 2, 3, 3, 3, 3, 4, 5. The median is the middle value, which is 3.

What is mean median mode ?

Mean, median, and mode are all measures of central tendency in statistics:

Mean: The mean is the average of a set of numbers. It is calculated by adding up all the numbers in the set and then dividing by the total number of values. For example, the mean of the set {2, 4, 6, 8} is (2 + 4 + 6 + 8) / 4 = 5.

Median: The median is the middle value in a set of numbers that have been arranged in order. If the set has an odd number of values, the median is the middle number. If the set has an even number of values, the median is the average of the two middle numbers. For example, the median of the set {2, 4, 6, 8, 10} is 6, and the median of the set {2, 4, 6, 8} is (4 + 6) / 2 = 5.

Mode: The mode is the value that appears most frequently in a set of numbers. A set can have one mode, multiple modes, or no mode at all. For example, the mode of the set {2, 4, 6, 8, 8, 10} is 8, and the set {2, 4, 6, 8, 10} has no mode.

2.The lower quartile (Q1) divides the bottom 25% of the data from the top 75%. To find Q1, we need to find the median of the lower half of the data: 0, 1, 2, 3. The median of these values is 1.5 (the average of 1 and 2).

3.The upper quartile (Q3) divides the top 25% of the data from the bottom 75%. To find Q3, we need to find the median of the upper half of the data: 3, 3, 3, 4, 5. The median of these values is 4.

4.The interquartile range (IQR) is the difference between Q3 and Q1: IQR = Q3 - Q1 = 4 - 1.5 = 2.5.

5.The range is the difference between the maximum and minimum values: range = 5 - 0 = 5.

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Answer:

2chk

Step-by-step explanation:

We first distribute the 1/3 into the equation. 8^1/3 is 2 and third powers times 1/3 powers would just be 1 powered. This would give us 2chk

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Thanks!

Answer:

Question C:

Concept:

Define Discriminant

The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation. A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution.

The summary of the explanation is given below as

The equation in the question is given below as

The general form of a quadratic expression is given below as

By comparing coefficients, we will have that

Hence,

The Discriminant of the equation will be

The roots of the equation will be calculated below as

Hence,

The number of roots is 0NE

The nature of the root is REAL

Answer:

a = 24

b = 16

Step-by-step explanation:

b/8 = 2

b = 8*2

b = 16

a - b = 8

a - 16 = 8

a = 8+16

a = 24

check that it's right:

a-b = 8

24-16 = 8

8=8

b/8 = 2

16/8 = 2

2 = 2

so our answers are correct.

have a good day!

Answer:

a+b=40

Step-by-step explanation:

a=24

b=16

a-b=8

24-16=8

16/8=2

24+16=40

"The goal of analytical listening is to fully understand the message." Option B is correct.

Analytical listening is a type of listening that involves analyzing and interpreting information to fully understand the message being conveyed. It is a complex process that requires the listener to pay close attention to the content of the message, as well as the tone, context, and underlying meaning.

This type of listening is important in a variety of contexts, such as in academic settings, business negotiations, and interpersonal relationships.

Analytical listening is especially useful when trying to understand complex ideas or arguments, as it involves breaking down the message into its constituent parts and examining each part individually. This type of listening can also help the listener to identify biases, assumptions, and logical fallacies in the message being presented.

Overall, analytical listening is a valuable skill that can help individuals to communicate effectively, solve problems, and make informed decisions. Thus, Option B is correct.

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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The rectangle volume is = 36000\(l\) , where height = 6m, width = 4m , depth = 3m

The volume, V , of any rectangular volume solid is the product of the length, width, and height. We could also write the formula for volume of a rectangular solid in terms of the area of the base. The area of the base, B , is equal to length × width.

Given that,

Rectangle height (h) = 6m

Rectangle width(w) = 4m

Rectangle depth(l) = 3m

Volume = \(l*w*h\)

Volume = 6m * 4m * 3m

Volume = 72\(m^{3}\)

In this example the depth will be 10 inches. Insert the measurements into the formula. Multiply the length (L) times the width (W) times the height (H). The formula looks like this: \(l*w*h\) For this example, to calculate the volume of the object the formula would be 10 x 10 x 10 = 1,000 cubic inches.

Then the,

Volume = 72/2

Volume = 36\(m^{3}\)

1\(m^{3}\) = 1000\(l\)

36\(m^{3}\) = (36*1000)\(l\)

= 36000\(l\)

Therefore,

The rectangle volume is = 36000\(l\) , where height = 6m, width = 4m , depth = 3m

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Answer:

Step-by-step explanation:

8.1

The measure of angle ZCOD is 27°.

Since A, O, and B are collinear, angles AOC and COB form a linear pair, which means their sum is 180°. Therefore:

x + 50° = 180°

Solving for x, we get:

x = 130°

Next, we can use the fact that angles AOC and BOA are vertical angles, which means they are congruent. Therefore:

x = 103°

Substituting x with 130°, we get:

130° = 103° + COD

Solving for COD, we get:

COD = 27°

Finally, since angles AOD and COB are alternate interior angles, they are congruent. Therefore:

77° = 50° + ZCOD

Solving for ZCOD, we get:

ZCOD = 27°

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--The complete question is, Given that points A, O, and B are collinear, find the measure of angle ZCOD, where:

Angle AOC is denoted by x and measures 90°

Angle BOA measures 103°

Angle AOD measures 77°

Angle COB measures 50°.

Please note that point O is located between points A and B.--

Answer:

The top graph represents y = x-6.

Step-by-step explanation:

The graph is a translation 6 units down and the slope is 1.

A. Sea level. 0 meters represents the sea level and is not related to the lowest or highest points in specific locations.

Geographers use positive and negative numbers to indicate elevated levels relative to sea levels. In this context, 0 meters represents sea level, which is the reference point from which all elevations are measured. Positive numbers indicate elevations above sea level, and negative numbers represent points below sea level.

In the given example, New Orleans has its lowest point at -2 meters and its highest point at 6 meters. Neither of these corresponds to 0 meters. Therefore, the correct answer is Choice A, as 0 meters is the representation of sea level.
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We can change the base formula by:

                           logₐ b = logₓ a /logₓ b

                                         OR

                           logₓ a, logₓ b = logₓ a

The change of base formula is used to change the base of a logarithm.  We know that "log" stands for a logarithm of base 10 and "ln" stands for a logarithm of base e. But there is no option to calculate the logarithm of a number with any other bases other than 10 and e.

The change of base formula solves this issue of changing base from e to 10, and from base 10 to e. Also, it is used in solving several logarithms problems.

Base Formula: -

The change of base formula is used to write a logarithm of a number with a given base as the ratio of two logarithms each with the same base that is different from the base of the original logarithm. This is a property of logarithms. You can see the change of base formula here.

Change of base formula

                            logₐ b = logₓ a /logₓ b

                                         OR

                            logₓ a, logₓ b = logₓ a

Change of Base Formula

Change of base formula can be represented as follows. Here the base of the given logarithm is also changed to a logarithm with a new base. The basic logarithm with a base is transformed to two logarithms with a new and same base. The change of base formula is:

                          logₐ  b = [logₐ x] / [logₐ y]

In this formula,

Change of Base Formula Derivation

Change of base formula derivation can be understood from the following steps. Let us assume that

log ₐ b = p, logₙ a = q, and logₙ b = r.

By converting each of these into exponential form, we get,

a = \(b^{p}\), a = \(x^{q}\), and b = \(n^{r}\)

From the first two equations,

\(x^{q}\) = \(n^{r}\)

Substituting b =  \(n^{r}\) (which is from third equation) here,

(\(n^{r}\))\(^{p}\) = \(x^{q}\)

\(n^{r}\))\(^{p}\) = \(x^{q}\)(Using a property of exponents)

p r = q

p = q / r

Substituting the values, we get,

logₐ  b = [logₐ x] / [logₐ y]
For Example:

Evaluate the value of log₆₄ 8 using the change of base formula.

Solution:

We will apply the change of base formula (by changing the base to 10). Note that log₁₀ is same as log.

log₆₄ 8 = [log 8] / [log 64]

            = [log 8] / [log 82]

            = [log 8] / [2 log 8]              [∵ log am = m log a]

            = 1 / 2

Answer: log₆₄ 8 = 1 / 2

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Answer:

370.1

Step-by-step explanation:

i just got the answer

The population function of the Western Lowland Gorillas can either represent population growth or population decay

The question is incomplete, as the resources to model the population of the Western Lowland Gorillas are not given.

However, the following is a general guide to solve the question.

An exponential function is represented as:

\(y = a(1 \pm r)^x\)

Where:

Given that the population of the Western Lowland Gorillas decreases, then the rate of the function would be 1 -r (i.e. an exponential decay)

Take for instance:

\(y = 2000 * 0.98^x\)

By comparison.

a = 2000 and 1 - r = 0.98

The above function can be used to model the population of the Western Lowland Gorillas

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Answer:

I think the correct answer is F. y = 6x

We will see that the line equation is y = 6*x

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂) then we can write the slope as:

\(a = \frac{y_2 - y_1}{x_2 - x_1}\)

In this case, the line passes through the points: (0, 0) and (-1/2, -3)

Then the slope is:

\(a = \frac{0 - (-3)}{0 - (-1/2)} = 6\)

Then the line is of the form y = 6*x + b

To find the value of b, we use the fact that the line passes through the point (0, 0), then we have:

0 = 6*0 + b

0 = b

We can conclude that the line is y = 6*x

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Answer:

32%

Step-by-step explanation:

To find the percentage, we have to multiply 25 and 8 by 4.

25x4 = 100

8x4 = 32

So, 8 out of 25 is 32%.

Answer:

Step-by-step explanation:

6/(y^m) can be written in index form as 6 * (1/y^m) = 6y^-m.

Answer:

A rational number because it's negative it can't be natural and cuz it's fraction it can't be whole nor integers.

p.s. thanks to salma1148 for the answer

The quadratic function for this problem is given as follows:

G. y = -0.4(x + 5)(x - 2).

The roots of the quadratic function are given as follows:

Hence the linear factors of the function are given as follows:

Considering the factor theorem, the function is given by the product of it's linear factors and the leading coefficient a, hence:

f(x) = a(x + 5)(x - 2)

When x = 0, y = 4, hence the leading coefficient a is given as follows:

-10a = 4

a = -4/10

a = -0.4.

Hence the function is:

y = -0.4(x + 5)(x - 2).

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Answer:

no

Step-by-step explanation:

486×8=3888 so its not enough

Answer:

No they wont

Step-by-step explanation:

they will not reach their goal of 4,000 they will only have 3,888 cans of food.

486 x 8 = 3,888

To solve the inequality x^2 / (x^2 + 25) >= 0, we need to first find the critical points where the expression equals zero or is undefined.

Setting the numerator equal to zero, we get x = 0. Setting the denominator equal to zero, we get x = +/- 5i. However, these values are imaginary and do not affect the inequality. Next, we need to determine the sign of the expression for different intervals of x. We can do this by testing a point in each interval. For x < -5i, we can use x = -10 as a test point. Plugging this into the expression, we get (-10)^2 / ((-10)^2 + 25) = 100/125 = 4/5, which is positive.

For -5i < x < 0, we can use x = -2 as a test point. Plugging this into the expression, we get (-2)^2 / ((-2)^2 + 25) = 4/29, which is positive. For x = 0, the expression is undefined, but we include this value in the solution set since it is a critical point. For 0 < x < 5i, we can use x = 2 as a test point. Plugging this into the expression, we get 2^2 / (2^2 + 25) = 4/29, which is positive. For x > 5i, we can use x = 10 as a test point. Plugging this into the expression, we get 10^2 / (10^2 + 25) = 100/125 = 4/5, which is positive. Since the expression is always positive or undefined, the solution set is all real numbers except for x = +/- 5i. In interval notation, this is (-infinity, -5i) U (-5i, 0) U (0, 5i) U (5i, infinity).

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a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. b)  Guy will pay $4,070 in tax on the $11,000 dividend he received. c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated.

a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. This is because the dividends distributed to shareholders are not deductible expenses for the corporation. Dividends are paid out of after-tax profits and are not considered a deductible expense for the distributing corporation.

b) Guy will pay $4,070 in tax on the $11,000 dividend he received from Marathon Incorporated, including the net investment income tax. To calculate the tax, we need to consider Guy's marginal ordinary tax rate and the net investment income tax. Assuming Guy's marginal ordinary tax rate is 37 percent, the tax on the dividend would be $4,070 (0.37 * $11,000). The net investment income tax is an additional 3.8 percent tax on investment income for individuals with certain income thresholds, so it would also apply to the dividend income received by Guy.

c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated. This is because C corporations are eligible for a 50 percent dividends-received deduction. The dividends-received deduction allows corporations to exclude 50 percent of the dividends received from taxable income. In this case, Little Rock Corporation would be able to exclude $16,500 (50 percent of $33,000) from its taxable income, resulting in a tax liability of $0 on the dividend income.

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Your monthly payment for the 60-month, 5.54% APR motorcycle loan to purchase your dream Harley-Davidson will be $136.88.

To calculate the monthly payment for a motorcycle loan, we can use the formula for the present value of an annuity. The formula is:

PMT = PV * r / (1 - (1 + r)^(-n))

Where:
PMT = Monthly payment
PV = Present value of the loan
r = Monthly interest rate
n = Number of months

In this case, the present value of the loan (PV) is $7,200, the monthly interest rate (r) is 5.54% divided by 12 (0.0554 / 12), and the number of months (n) is 60.

Plugging in these values into the formula, we get:

PMT = 7200 * (0.0554 / 12) / (1 - (1 + (0.0554 / 12))^(-60))

Evaluating this expression, the monthly payment comes out to be approximately $136.88.

Therefore, your monthly payment for the 60-month, 5.54% APR motorcycle loan to purchase your dream Harley-Davidson will be $136.88.

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Answer:

-1/m^3

Step-by-step explanation:

m-3n/6m^3n - m+3n/6mn^3

=(m-3n)-(m+3n)/6m^3n  [6m^3n is the L.C.M]

=m-3n-m-3n/6m^3n

=-6n/6m^3n

= -1/m^3

   (Ans)