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Answer:

y=-1/3x-1 I believe

Step-by-step explanation:

The Y intercept is where the line meets the Y line, which crosses at -1 and for slope, find a point and do rise/run. This question goes down 1 and to the right 3 so -1/3

There is a significant gap in south Africa between the wealthiest and poorest individuals.

It is a technique which is used to measure that captures the level of in equality for a given variables and population.It varies between 0 and 1.so 1 being perfectly inequal and 0 being perfectly equal.It is used to rank countries based on their income per capita , life expectancy and education development.

The Gini index measure income inequalities between poor and rich.

The formula we use given below

Gini Index= A/A+B

Where  A= area above Lorenz line

           B= area below Lorenz line

Lorenz is a graphical method for an economic inequality model taking the population percentage on X-axis and wealth on Y-axis.

It is the ratio of area between perfect equality line (A) divided by total area under perfect equality line (A+B).

Now we reach at this result

In south Africa the Gini index is more than 60.The higher the Gini index shows the higher the income inequality between rich and poor.

In Norway, given that the Gini index is less than 30 income inequality between rich and poor is lower.

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Answer:  5.6 N/cm^2

============================================

Work Shown:

Pressure = (Force)/(Area)

P = F/A

P = (84 N)/(15 cm^2)

P = (84/15) (N/cm^2)

P = 5.6 N/cm^2

For every square cm, 5.6 newtons of force is applied.

-------------

Extra info:

If you wanted to convert this to pascals, then you would need to convert 15 cm^2 to 0.0015 square meters. Then apply the formula above to get 56,000 pascals. 1 pascal is equivalent to 1 N/m^2.

The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.

Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.

The future maintenance costs for the truck can be calculated as shown below:

Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:

\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is

5.Substituting the given values in the above equation:

\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.

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Answer:

24% and 38%

Step-by-step explanation:

Answer:

24% and 38%

Step-by-step explanation:

Answer:

\( s = 14.1 \)

Step-by-step explanation:

Given:

<S = 31°

SQ = r = 9

SR = q = 21

s = ?

To find s, use the Law of Cosines:

s² = r² + q² - 2rs*cos(S)

\( s^2 = 9^2 + 21^2 - 2*9*21*cos(31) \)

\( s^2 = 81 + 441 - 378*0.8572 \)

\( s^2 = 522 - 324.02 \)

\( s^2 = 197.98 \)

\( s = 14.1 \) (nearest tenth)

Answer:

\(\frac{3x^2}{y}\)

Answer:

Last option is correct, i.e. (2x/5)-7.

Answer:

I think its number 2 im not quiet sure hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

It would take~~1.50685 years to complete the migration

Step-by-step explanation:

4400/8=550/365=1.50685

Answer: The answer is 1/3 hour, or 20 minutes

Step-by-step explanation:

The combined rate of separation is (80 km/hr + 70 km/hr) = 150 km/hr,

therefore they will be 1/3 of 150 km apart after traveling 1/3 of an hour.

I HOPE THIS HELPED YOU LOL

Answer:

C

Step-by-step explanation:

We'll have to use trigonometry for this.

First, note that in right triangle ABC, if we look from the perspective of angle A, the opposite side is x, the adjacent side is y, and the hypotenuse is 18.

In order to find x, then, we must use sine, which is opposite/hypotenuse. So:

sin(A) = sin(60) = opposite/hypotenuse = x/18

sin(60) is equal to (√3)/2, so multiplying both sides by 18 gives:

[(√3)/2] * 18 = 9√3

Already, we can tell that the answer is likely C, but let's find y to make sure.

We will use cosine to find y because cos = adjacent/hypotenuse.

cos(A) = cos(60) = adjacent/hypotenuse = y/18

cos(60) = 0.5, so multiplying both sides by 18 gives:

0.5 * 18 = 9

So, y = 9.

Thus, C is our answer.

~ an aesthetics lover

Answer:

C

Step-by-step explanation:

Using the cosine/ sine ratio in the right triangle and the exact values

cos30° = \(\frac{\sqrt{3} }{2}\) and sin30° = \(\frac{1}{2}\) , then

cos30° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AC}\) = \(\frac{x}{18}\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2x = 18\(\sqrt{3}\) ( divide both sides by 2 )

x = 9\(\sqrt{3}\)

----------------------------------------------------------

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{y}{18}\) = \(\frac{1}{2}\) ( cross- multiply )

2y = 18 ( divide both sides by 2 )

y = 9

Thus

x = 9\(\sqrt{3}\) and y = 9 → C

Answer:

48.75

Step-by-step explanation:

It would require 60 Joules of work to lift up one end of the rope to a height of 3 meters.

The amount of work required to lift up one end of a 5-meter rope to a height of 3 meters can be calculated using the formula:

Work = Force x Distance

Here, the force required to lift the rope is equal to half its weight since we are only lifting one end. Hence, the force required is:

Force = Weight/2

= 40/2

= 20 N

The distance moved is equal to the height to which the rope is lifted, which is 3 meters.

So, the amount of work required is:

Work = Force x Distance

= 20 x 3

= 60 Joules

Therefore, it would require 60 Joules of work to lift up one end of the rope to a height of 3 meters.

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The equation to solve for the width of a rectangular frame that has a total area of 140 square inches is 4x²+32x-80=0.

The area of the rectangle is the product of its length and its breadth.

As it is given that the length of the rectangular frame is (2x+10), while the width of the rectangular frame is (2x+6). Also, it is mentioned that the area of the rectangular frame is 140 in².

Now we know the area is the product of length and breadth, therefore,

\(\rm \text{Area of rectangle} = length \times breadth\)

\(140 = (2x+10)(2x+6)\\\\140 = 4x^2 + 12x + 20x + 60\\\\0=-140+4x^2 + 12x + 20x + 60\\\\4x^2 + 32 x -80=0\)

Hence, the equation to solve for the width of a rectangular frame that has a total area of 140 square inches is 4x²+32x-80=0.

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Answer:

A.)  4x2 + 32x − 80 = 0

Step-by-step explanation:

Just took the test

The equation of the parabola with focus (2,5) and directrix x=18 is (x - 18)² + (y - 5)² = (y - (5 + (18 - 2) / 2))².

A parabola is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating

straight line of that surface.

The focus of a parabola is a fixed point on the interior of a parabola used in the formal definition of the curve.

The directrix is a straight line perpendicular to the axis of symmetry and placed symmetrically with respect to the focus.

The axis of symmetry is the line through the focus and perpendicular to the directrix.

The vertex of a parabola is the point where its axis of symmetry intersects the curve. It is the point where the parabola changes direction or "opens

up" or "opens down.

The directrix is a fixed straight line used in the definition of a

parabola. It is placed such that it is perpendicular to the axis of symmetry and at a distance from the vertex equal to the

distance between the vertex and focus. It is the line that is equidistant to the focus and every point on the curve.Here's

the solution to the given problem:

The distance between the directrix and the focus is equal to p = 16 (since the directrix is x = 18, the parabola opens to the left, so the distance is measured horizontally)

The vertex is (h,k) = ((18+2)/2,5) = (10,5)

Then we can use the following formula: (x - h)² = 4p(y - k)

Substitute the vertex and the value of p. (x - 10)² = 64(y - 5)

Expand and simplify. (x - 10)² + (y - 5)² = 64(y - 5)

The equation of the parabola is (x - 10)² + (y - 5)² = 64(y - 5).

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Answer:

what do you mean???

Step-by-step explanation:

Answer:

It’s still 11.9

Step-by-step explanation:

Simplified expression for the amount is 5(36+23m) .

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

Step 1: Form an equation for the amount of money Troy has received after m months.

If the total months that Troy's grandfather has given him money is m, then the number of months that Troy's mother has given him money is m - 3.

⇒ Total amount in account = 300 + 75m + 40(m - 3)

                                             = 300 + 75m + 40m-120

                                             =180 + 115m

                                            =5(36+23m)

Hence, Simplified expression for the amount is 5(36+23m) .

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Answer:

He needs to sell at least 12 boxes.

It will take the lizard 19 days to reach the top of the well.

As per the data given,

We have,

The depth of the well = 19 feet

Let's call the number of days the lizard has been in the well as "d".

After "d" days, the lizard will have crawled up a total of 5d feet.

However, it will also have slipped back down 4d feet during the nights.

So, the net distance the lizard has traveled upward can be calculated as follows:

Net distance = 5d - 4d = d feet

To reach the top of the well (19 feet), the lizard must have traveled 19 feet upward, so we have:

19 = d

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(a)The moment generating function of a random variable X is expected value of e^(tX) .(b) The mean of Y will be the sum of the means of X₁, X₂, and X₃ .(c)The CDF gives the probability that the random variable<=specific value.

(a) The moment generating function of a random variable X is defined as the expected value of e^(tX). For independent random variables, the mgf of the sum is equal to the product of their individual mgfs. In this case, the mgf of Y can be calculated as the product of the mgfs of X₁, X₂, and X₃. (b) The distribution of Y can be obtained by convolving the probability density functions (PDFs) of X₁, X₂, and X₃. Since X₁, X₂, and X₃ are normally distributed, the sum Y will also follow a normal distribution.

The mean of Y will be the sum of the means of X₁, X₂, and X₃ and the variance of Y will be the sum of the variances of X₁, X₂, and X₃. (c) To find the probability P(Y < W), we need to evaluate the cumulative distribution function (CDF) of Y at the value W. The CDF gives the probability that the random variable is less than or equal to a specific value

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The parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

A matrix equation of the form \($A\overrightarrow x=0\) is called homogeneous matrix equation.

A matrix equation of the form  \($A\overrightarrow x=\overrightarrow b\) is called non - homogeneous matrix equation.

Given is to find the solution in parametric vector form.

If there are {m} free variables in the homogeneous equation, the solution set can be expressed as the span of {m} vectors :

\($\overrightarrow x=s_{1} \overrightarrow v_{1} + s_{2} \overrightarrow v_{2}+......+s_{m} \overrightarrow v_{m}\)

We have a matrix where {A} is the row equivalent to that matrix -

\(\begin{bmatrix} 1&3&0&-4 \\ 2&6&0&-8 \end{bmatrix}\)

Given matrix can be written in Augmented form as -

\(\left[ \begin{array}{cccc|c} 1&3&0&-4 & 0\\2&6&0&-8&0\\ \end{array} \right]\)

Row Reduced Echelon Form can be obtained using the following steps -

{ 1 } - Interchanging the rows R{1} and R{2}.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0 \\ 1&3&0 &-4 & 0 \\ \end{array} \right]\)

{ 2 } - Applying the operation R{2} -> 2R{2} - R{1}, to make the second 0.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\1&3&0&-4&0 \\ \end{array} \right] \;\;\;\;\;\;R_2 \rightarrow 2R_2 - R_1\)

\(\left[ \begin{array}{cccc|c} 2 & 6 & 0 & -8 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ \end{array} \right]\)

{ 3 } - Using R{1} -> R{1}/2

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\0&0&0&0&0\\ \end{array} \right]  \;\;R_1 \rightarrow \dfrac{1}{2} R_1\)

{ 4 } - Following equation can be deducted as

\(x_1 + 3x_2 - 4x_4 =0\)

{ 5 } - We can write the parametric form as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

Therefore, the parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

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Answer:

C) ATUS-ABCS

Step-by-step explanation:

ΔTUS ΔBSC would also be a right answer, but remember that the order of the points matter.

Both of these triangles share a point S, so the order of where the S is placed should be the same.

In this answer, ΔTUS ΔBCS, notice that the S is in the end of the triangle notation.

However, in this answer,  ΔTUS ΔBSC, the S is in the end of ΔTUS while the S is in the middle of ΔBSC even S is the correspondent point for both triangles.

Hence, ΔTUS ΔBCS is the correct notation and correct answer.

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Using system of linear equations he will require 20kg of 15% copper and 30kg of 70% copper to produce an alloy of 48% in 50kg

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables.

To solve this problem, we need to write a system of linear equations and find the equivalent amount of the metal required to make the desired amount of the alloy.

0.15x + 0.7y = 0.48(50) ..eq(i)

0.15x + 0.7y = 24 ...eq(i)

x + y = 50 ...eq(ii)

solving equation (i) and (ii)

x = 20, y = 30

He needs 20kg of 15% copper and 30kg of 70% copper to get 48% of 50kg of alloy.

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For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error decreases as the margin of error increases.

The square root of the variance for the given set of numbers is what the standard deviation examines. It is employed to compute a confidence interval for making judgments (such as accepting or rejecting a hypothesis).

Here, the population standard deviation, and level of significance are the same.

As the margin of error increased.

So, with the increase in the value of the margin of error, there will surely decrease in the value of the sample size

\($$\begin{aligned}&\mathrm{MOE}_\gamma=z_\gamma \times \sqrt{\frac{\sigma^2}{n}}\\&\begin{aligned}\mathrm{MOE} & =\text { margin of error } \\\gamma & =\text { confidence level } \\z_\gamma & =\text { quantile } \\\sigma & =\text { standard deviation } \\n & =\text { sample size }\end{aligned}\end{aligned}$$\)

As the margin of error is in the denominator position in the sample size formula

Hence with an increase in the margin of error sample size decreases.

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P(TTTH) = 2/16 = 1/8 (since there are two outcomes that match TTTH out of the 16 possible outcomes, namely TTTH and TTTH)

P(HTTT) = 1/16 (since there is only one outcome that matches HTTT out of the 16 possible outcomes)

P(TTTH) + P(TTHT) + P(THTT) + P(HTTT) = 1/8 + 1/16 + 1/16 + 1/16 = 5/16

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The three points to plot for the equation 2y = 3x + 11 are (0, 5.5), (1, 7), and (-1, 4).

To graph the equation 2y = 3x + 11, we can choose any three points that satisfy the equation. Let's select three points and plot them on a coordinate plane:

Point 1:

Let's set x = 0 and solve for y:

2y = 3(0) + 11

2y = 0 + 11

2y = 11

y = 11/2 = 5.5

So, the first point is (0, 5.5).

Point 2:

Let's set x = 1 and solve for y:

2y = 3(1) + 11

2y = 3 + 11

2y = 14

y = 14/2 = 7

The second point is (1, 7).

Point 3:

Let's set x = -1 and solve for y:

2y = 3(-1) + 11

2y = -3 + 11

2y = 8

y = 8/2 = 4

The third point is (-1, 4).

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WLS involves multiplying observation i by 1/ h_i, the WLS method will be viable without any further adjustments, this statement is True.

To use Weighted Least Squares (WLS) for estimating the Linear Probability Model (LPM) the steps are:

Step 1: Estimate the model using OLS and obtain the residuals, u_i.

Step 2: Determine whether all of the P(y|x1,x2) are inside the unit interval. If so, proceed to step 3. If not, adjust them so that all values fit inside the unit interval.

Step 3: Construct the estimated variance h_i = p(x_i) (1 - p(x_i)).

Step 4: Estimate the original model with weights equal to 1/ h_i.

Thus, the correct answer is True.

Suppose, for some i, y^i = −2.

Although WLS involves multiplying observation i by 1/ h_i, the WLS method will be viable without any further adjustments, this statement is True.

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Answer:

343 feet

Step-by-step explanation: