How to do this part

Step-by-step explanation:

the correct answer is option a 6a-7

Answer:

Results for If mZJKM = 43º, mZMKL = (8x - 20), and mZJKL = (10x - 11), find each measure. M K mZMKL = m

Step-by-step explanation:

According to formed equations, the price of one teddy bear and one doll is $7 and $20 respectively.

Let us represent the teddy bear as x and dolls as y. Now, framing the equation for Dolly and Gwinnett.

Cost of teddy bear × number + cost of dolls × number = total expenditure

14x + 3y = 158 : equation 1

8x + 12y = 296 : equation 2

Divide the equation by 4

2x + 3y = 74 : equation 3

Subtraction equation 3 from equation 1

14x + 3y = 158

- 2x + 3y = 74

12x = 84

x = 84/12

x = $7

So, the cost of teddy bear = $7

keep the value of x in equation 3 to find the cost of y

2×7 + 3y = 74

14 + 3y = 74

3y = 74 - 14

3y = 60

y = 60/3

y = $20

Thus, the cost of teddy bear and dolls are $7 and $20.

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The increase in the minimum wage from $8.10 to $15, indicates that the percentage increase in the minimum wage is 85.\(\overline{185}\)%

A percentage represent the number, amount, proportion or ratio of an item to another (possibly larger) item per hundred (100) units of the comparison or larger item.

Percentages, quantitatively describes the idea of the amount of a substance. It is a measure of the amount or occurrence of an item.

The specified original minimum wage at Ben's Burger = $8.10

The new amount to which the minimum wage is increased = $15

The percentage increase can be obtained using the formula;

\(\% \ increase = \frac{New - Original}{Original} \times 100\)

The percentage increase is therefore; ((15 - 8.10)/8.1) × 100 = 85.\(\overline{185}\) %

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Answer:

boom box second one one my bad just need points my g

Step-by-step explanation:

Answer:

3

decreasing

negative

Step-by-step explanation:

The graph of function g crosses the x-axis at (3,0), so there is a zero at x = 3.

As the values of x increase, the values of g(x) decrease, so function g is decreasing along all intervals, including the interval [-5, 5].

As the values of x approach positive infinity, cube root functions either approach positive infinity or negative infinity. Since this function is decreasing, the values of g(x) approach negative infinity.

Answer:

$292.74 :)

Step-by-step explenation

i searchd it

False. To obtain a representative sample, it is not necessary to sample a large fraction of the population.

The representativeness of a sample depends on its ability to accurately reflect the characteristics and variability of the population it is drawn from. The size of the sample required for representativeness is determined by the level of precision desired and the inherent variability within the population.

Sampling a large fraction of the population, also known as a census, is one way to achieve representativeness, but it is often impractical, time-consuming, and costly. Instead, researchers often use statistical techniques to select a smaller subset of the population that can still provide accurate estimates.

The key factor in obtaining a representative sample is the use of random sampling techniques, such as simple random sampling or stratified sampling, which ensure that every individual in the population has an equal chance of being included in the sample. By using appropriate sampling methods and considering the variability within the population, it is possible to obtain a representative sample without sampling a large fraction of the population.

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Arrange the data in ascending order,

The mean is ,

The mean is 98.6.

The median is,

The median is 96.5.u

The mode is the value that appears most often in a set of data values.

The range is determined as the difference between the maximum and minimum value.

Answer:

whichever one corresponds with the answers you have will be right.

To find the first five terms of the Fourier series of the function f(x) = x^2 on the interval [-T, T], we need to compute the coefficients of the cosine and sine terms in the series.

The general form of the Fourier series for a function f(x) on the interval [-T, T] is given by:

f(x) = a0/2 + Σ[ancos(nπx/T) + bnsin(nπx/T)]

To determine the coefficients, we can calculate them using the formulas:

an = (2/T) * ∫[f(x)*cos(nπx/T)] dx

bn = (2/T) * ∫[f(x)*sin(nπx/T)] dx

For the function f(x) = x^2, we can substitute it into the above formulas and compute the integrals to obtain the coefficients.

However, without specifying the value of T, it is not possible to calculate the exact values of the coefficients. The interval [-T, T] needs to be defined, as it determines the period of the function.

Once the value of T is provided, we can evaluate the integrals and compute the coefficients, which will allow us to determine the first five terms of the Fourier series for f(x) = x^2 on the given interval.

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VW = 6

HOPE IT HELPS...!!!

The area of the given triangle is 87.55 square centimeter.

From the given triangle, base=17 cm and height=10.3 cm.

The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

Here, area of a triangle = 1/2 ×17×10.3

= 87.55 square centimeter

Therefore, area of the given triangle is 87.55 square centimeter.

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The requried domain of the given relation is {−5, 0, 3, 4}. Option A is correct.

The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.

Here,
We have the ordered pair of a relation given as,
(-5, -10), (0, 0) (3, 6) (4, 8)

From above, the x absciss of each ordered pair is termed as the domain of the relation.

So, set of domain = {−5, 0, 3, 4}]

Thus, the requried domain of the given relation is {−5, 0, 3, 4}. Option A is correct.

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Answer:

C) 0.5

Step-by-step explanation:

8x-5=-1

8x=-1+5

8x=4

x=4/8

simplify

x=1/2

Answer:

yeah i believe thats the right answer thats what i got anyways

Step-by-step explanation:

good job!

Answer:

You are correct

Step-by-step explanation:

Good job and hope this helps

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

y = mx + b

where

m represents slope

b represents y intercept. This is also the point where the line cuts across the y axis.

The formula for determining slope is expressed as

m = (y2 - y1)/(x2 - x1)

y2 and y1 are final and initial values of y corresponding to given points on the line and on the vertical axis.

x2 and x1 are final and initial values of y corresponding to given points on the line and on the horizontal axis. From the graph,

when x1 = - 1, y1 = - 4

when x2 = 1, y2 = 2

m = (2 - - 4)/(1 - - 1) = 6/2

m = 3

Slope of the line = 3

y intercept, b = - 1

Thus, equation of the line is

y = 3x - 1

the vector → u with magnitude 3 in the opposite direction as → v = ⟨ 4 , − 4 ⟩ is ⟨ -3/8 , 3/8 ⟩.

The magnitude of a vector is the length or size of the vector. In this case, we want to find a vector with magnitude 3, so we need to scale the vector → v to have a length of 3. Additionally, we want the resulting vector to be in the opposite direction as → v.

To achieve this, we can calculate the unit vector in the direction of → v by dividing → v by its magnitude:

→ u = → v / |→ v |

→ u = ⟨ 4/√(4^2+(-4)^2) , -4/√(4^2+(-4)^2) ⟩

→ u = ⟨ 4/√32 , -4/√32 ⟩

Next, we can scale → u to have a magnitude of 3 by multiplying it by -3/|→ v |:

→ u = -3/|→ v | * → u

→ u = -3/√32 * ⟨ 4/√32 , -4/√32 ⟩

→ u = ⟨ -34/32 , -3(-4)/32 ⟩

→ u = ⟨ -3/8 , 3/8 ⟩

Therefore, the vector → u with magnitude 3 in the opposite direction as → v = ⟨ 4 , − 4 ⟩ is ⟨ -3/8 , 3/8 ⟩.

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Answer:

x=y

Step-by-step explanation:

Answer:

the answer should be 180

Answer:

(a²b)³(b²c²)=a⁶b⁵c²

Answer:

293 feet.

Step-by-step explanation:

Their track is 500 feet, and there are three sections. Add these sections(61+83+63=207) and subtract from the total(500-207=293)

Given: A arrangement of the letter 'PATTERNS' is given.

Required: To determine the number of paths that spell the word 'PATTERNS' if all paths must start at the top and move diagonally through the

letters.

Explanation: The Pascal Triangle can be used to determine the number of ways the word 'PATTERNS' can be spelled.

The Pascal Triangle is shown below

One exciting thing about Pascal's Triangle is if we move diagonally from top to bottom, each number denotes the number of ways to get to the position from the top.

Hence to spell the word 'PATTERNS', we would need to get to the 8th row.

Hence we need to add all the entries of the 8th row to get the total number of ways to spell the word.

Final Answer: The total number of paths that spells the word 'PATTERNS' is 128.

1.1.1 Short-term investment: An example of a short-term investment is investing in a 3-month Treasury bill. These are government-issued debt securities with a maturity of less than one year, providing a relatively low-risk investment option with a fixed interest rate.

1.1.2 Medium-term investment: A medium-term investment example is investing in a corporate bond with a maturity of 5 years. Corporate bonds offer a higher yield compared to government bonds, making them suitable for investors with a moderate risk appetite seeking stable income over a longer time horizon.

1.1.3 Long-term investment: An example of a long-term investment is investing in a diversified stock portfolio. Stocks represent ownership in a company and have the potential for higher returns over an extended period, although they also involve higher risk.

1.1.4 Fixed income: An example of a fixed income investment is purchasing a 10-year government bond. These bonds pay a fixed interest rate over the bond's duration, providing a predictable stream of income for the investor.

1.1.5 Fixed expense: A fixed expense example is paying a monthly mortgage payment. The mortgage payment remains constant throughout the loan term, typically spanning several years, and includes both the principal repayment and the interest charged by the lender.

1.1.1 Short-term investment: A short-term investment option is the 3-month Treasury bill. Treasury bills are considered low-risk investments issued by the government, and they offer a fixed interest rate that is determined through an auction process. Investors can purchase Treasury bills directly from the government or through a broker.

1.1.2 Medium-term investment: A medium-term investment example is investing in a corporate bond with a 5-year maturity. Corporate bonds are issued by companies to raise funds, and they pay a fixed interest rate to bondholders over the bond's duration. The bond's yield and risk profile depend on the creditworthiness of the issuing company.

1.1.3 Long-term investment: An example of a long-term investment is investing in a diversified stock portfolio. A diversified portfolio consists of a mix of stocks from different sectors and regions, spreading the risk across multiple companies. The goal is to achieve long-term capital appreciation and potentially earn dividends from the stocks held in the portfolio.

1.1.4 Fixed income: An example of a fixed income investment is purchasing a 10-year government bond. Government bonds are issued by national governments to finance their operations. The bond's interest rate is fixed at the time of issuance, and the investor receives periodic interest payments until the bond reaches maturity, at which point the principal amount is returned.

1.1.5 Fixed expense: A fixed expense example is paying a monthly mortgage payment. When purchasing a property with a mortgage loan, the borrower agrees to make fixed monthly payments that include both the principal repayment and the interest charged by the lender. The monthly payment amount remains constant throughout the mortgage term, typically ranging from 15 to 30 years.

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Answer:

\(C(x) = 540x + 72120\)

Step-by-step explanation:

Given

Cost = $78,600 when Printing Press = 12

Cost = $82,380 when Printing Press = 19

Required

Determine the linear equation

From the given parameters; Cost is a function of Printing Press

Represent Cost by C and Printing press by x;

This implies that C = f(x)

The given parameters can then be modeled as; \((x, C)\)

\((x_1, C_1) = (12,78600)\)

\((x_2, C_2) = (19,82380)\)

The first step is to calculate the slope, m;

\(m = \frac{C_1 - C_2}{x_1 - x_2}\)

\(m = \frac{78600 - 82380}{12 - 19}\)

\(m = \frac{-3780}{-7}\)

\(m = 540\)

The linear equation can then be calculated using slope formula

\(m = \frac{C- C_2}{x - x_2}\)

Substitute 540 for m and \((x_2, C_2) = (19,82380)\)

\(540 = \frac{C- 82380}{x - 19}\)

Multiply both sides by x - 19

\(540 * (x-19)= \frac{C- 82380}{x - 19} * (x-19)\)

\(540 * (x-19)= C- 82380\)

Open bracket

\(540x - 10260 = C - 82380\)

Add 82380 to both sides

\(540x - 10260 + 82380= C - 82380 + 82380\)

\(540x - 10260 + 82380= C\)

\(540x + 72120= C\)

\(C = 540x + 72120\)

Hence;

\(C(x) = 540x + 72120\)

Since \(e^{(3x)\) approaches infinity as x approaches infinity, the limit of 2/9\(e^{(3x)\)approaches zero. Therefore, the limit of \(x^3/e^{(3x)\) as x approaches infinity is 0. The answer is A, 0.

To evaluate the limit of\(x^3/e^{(3x)\)as x approaches infinity, we can use L'Hopital's rule, which states that if the limit of the ratio of two functions f(x)/g(x) approaches infinity or negative infinity, then the limit of the ratio of their derivatives f'(x)/g'(x) is equal to the same limit.

So, we take the derivative of both the numerator and the denominator with respect to x:

lim x->∞ \((x^3/e^{(3x)})\) = lim x->∞\((3x^2/3e^(3x))\)

Now, we can apply L'Hopital's rule again, taking the derivative of the numerator and denominator:

lim x->∞\((3x^2/3e^(3x))\) = lim x->∞ \((6x/9e^(3x))\) = lim x->∞\((2x/3e^(3x))\)

Again, we can apply L'Hopital's rule by taking the derivative of the numerator and denominator:

lim x->∞ \((2x/3e^(3x))\) = lim x->∞\((2/9e^(3x))\)

Since e^(3x) approaches infinity as x approaches infinity, the limit of 2/9e^(3x) approaches zero. Therefore, the limit of\(x^3/e^(3x)\) as x approaches infinity is 0. The answer is A, 0.

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We can write the given partial equilibrium model on the form Ax = d, and then use Cramer's rule to solve for the values of Qs* and P*.

To write the model on the form Ax = d, we need to express the equations in a matrix form.

The given equations are:

Qd = a1 + b1P

Qs = a2 + b2(P - t)

We can rewrite these equations as:

-Qd + 0P + Qs = a1

0Qd - b2P + Qs = a2 - b2t

Now, we can represent the coefficients of the variables and the constants in matrix form:

| -1 0 1 | | Qd | | a1 |

| 0 -b2 1 | * | P | = | a2 - b2t |

| 0 1 0 | | Qs | | 0 |

Let's denote the coefficient matrix as A, the variable matrix as x, and the constant matrix as d. So, we have:

A * x = d

Using Cramer's rule, we can solve for the variables Qs* and P*:

Qs* = | A_qs* | / | A |

P* = | A_p* | / | A |

where A_qs* is the matrix obtained by replacing the Qs column in A with d, and A_p* is the matrix obtained by replacing the P column in A with d.

By calculating the determinants, we can find the values of Qs* and P*.

It's important to note that Cramer's rule allows us to solve for the variables in this system of equations. However, the applicability of Cramer's rule depends on the properties of the coefficient matrix A, specifically its determinant. If the determinant is zero, Cramer's rule cannot be used. In such cases, alternative methods like substitution or elimination may be required to solve the equations.

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y - 1/z = 1   ==>   y = 1 + 1/z

z - 1/x = 1   ==>   z = 1 + 1/x

==>   y = 1 + 1/(1 + 1/x) = 1 + x/(x + 1) = (2x + 1)/(x + 1)

x - 1/y = x - (x + 1)/(2x + 1) = (2x ² - 1)/(2x + 1) = 1

==>   2x ² - 1 = 2x + 1

==>   2x ² - 2x - 2 = 0

==>   x ² - x - 1 = 0

==>   x = (1 ± √5)/2

If you start solving for z, then for x, then for y, you would get the same equation as above (with y in place of x), and the same thing happens if you solve for x, then y, then z. So it turns out that x = y = z.

The height of the triangle whose base is 4 cm and area is 20 cm² is 10 cm .

It is given that base is 4 cm and area is 20 cm² .

Putting above values in area formula , we get

         Area = 1 / 2 × base × height

            20  = 1 / 2 × 4 × height

             20 = 2 × height

              10 cm = height

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The complete question is given below :

Find the height of the triangle whose base is 4cm and area is 20 cm².

The exact probability cannot be determined without additional information such as the average daily sales rate.

To find the probability of selling more than 250 gallons, we need to find the cumulative distribution function (CDF) of the number of gallons sold, which is the probability of selling a certain amount or less. Since the amount sold follows a Poisson distribution with an average of 200 gallons, the CDF can be calculated using the Poisson cumulative distribution function formula:

P(X <= x) = e^(-μ) * (μ^x) / x!

Where μ is the average number of gallons sold and x is the amount sold. To find the probability of selling more than 250 gallons, we subtract the CDF for 250 gallons or less from 1. This gives us the probability of selling more than 250 gallons.

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