Which proportion can be used to show the slope of JL is equal to the slope of Mp?

Answer:

\( y = - \frac{1}{2} x - 9\)

Step-by-step explanation:

\(y + 7 = - \frac{1}{2} (x + 4) \\ \\ y + 7 = - \frac{1}{2} x + (- \frac{1}{2}) \times 4 \\ \\ y = - \frac{1}{2} x - 2 - 7 \\ \\ y = - \frac{1}{2} x - 9\)

Answer:

1. 560+0.08x > 700$

2.1750$

3. Below

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

rise/run=slope

2 up and 3 to the right to it is 2/3

Answer:

16 peices

Step-by-step explanation:

52/3.25 = 16

Answer:

Increase

Step-by-step explanation:

If you multiply the numbers it increases!

A drug administered 50 mg every three hours and the drug decays 12% per hour, the limiting value is approximately 416.67 mg.

To find the limiting value, we need to determine the amount of the drug remaining after each administration and observe how it approaches a stable value over time.

First, let's calculate the decay factor per hour. The drug decays by 12% per hour, which means it retains 88% of its previous value after each hour.

Decay factor = 1 - 0.12 = 0.88

Now, let's calculate the amount of drug remaining after each administration:

After 1st administration: 50 mg

After 2nd administration: 50 mg * 0.88 = 44 mg

After 3rd administration: 44 mg * 0.88 = 38.72 mg

After 4th administration: 38.72 mg * 0.88 = 34.04 mg

After 5th administration: 34.04 mg * 0.88 = 29.92 mg

As we can see, the amount of drug remaining decreases with each administration, approaching a limiting value. To find this limiting value, we can continue the pattern or use a formula.

The formula for the limiting value of a drug administered every three hours is:

Limiting value = dosage / (1 - decay factor)

In this case, the dosage is 50 mg, and the decay factor is 0.88.

Limiting value = 50 mg / (1 - 0.88) = 50 mg / 0.12 ≈ 416.67 mg (rounded to two decimal places)

Therefore, the limiting value is approximately 416.67 mg.

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Answer:

wdym 60 inches measures length (?????)

Answer:

Area = Side2

Step-by-step explanation:

If you have three side lengths, you should find the angle opposite the smallest side to determine the lowest angle, the angle opposite the medium-sized side to determine the greatest angle, and the angle opposite the largest side to determine the greatest angle.

Two rays that have a common terminal and are referred to as the angle's sides and vertices, respectively, make up an angle in Euclidean geometry. Two rays can form angles in the plane where they are positioned.

Angles are also produced when two planes intersect.

These are what are known as dihedral angles.

Consequently, if you have three side lengths, you should discover the lowest angle by finding the angle that is opposite the smallest side, the medium-sized angle by finding the angle that is opposite the medium-sized side, and the greatest angle by finding the angle that is opposite the largest side.

Therefore, if you have three side lengths, you should find the angle opposite the smallest side to determine the lowest angle, the angle opposite the medium-sized side to determine the greatest angle, and the angle opposite the largest side to determine the greatest angle.

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The exponential growth function will be:  y = 4000(1 + 0.04)⁴

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.

We are given;,

Initial population = 4000

Rate of increase = 4%

Let current population be p.

Let number of years passed be t.

Thus, the exponential growth function will be:

y = 4000(1 + 0.04)⁴

Complete question is;

A town has a current population of 4,000. The population increased 4 percent per year for the past four years, Emergency response professionals make up 3 percent of the town's population.

Part A

Write a function that represents the population (p) of the town in terms of the number of years (1) for the last four years.

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Answer:

number of emergency response professionals = 3% of population

e = 0.03p

e is a function of p

e(p) = 0.03p

Step-by-step explanation:

edumentum

Well sec(-120) = 1/cos(-120).

We know that cos(-120) = -1/2.

So, 1/(-1/2) = -2.

This means that sec(-120) = -2.

\(7 - 4(2w + 1) = 9w - 49 + w \\ 7 - 8w - 4 = 10w - 49 \\ 10w + 8w = 7 - 4 + 49 \\ 18w = 52 \\ w = \frac{52}{18} \\ w= 2.88\)

I hope I helped you^_^

Answer:

Step-by-step explanation:

ok so go on a new tab and put if I  earn $9.15 per hour painting a fence. it takes 6.75 hours to paint the fence. did you earn enough to buy the jersey show? is so how much money do you have left? if not how much money do you need to earn? easy. -5 start pls-

Answer: C) No, it is not a dilation because the points of the image are not moved away from the center of dilation proportionally.

Step-by-step explanation:

We know that in dilation , to find the points of the image are moved away from the center of dilation proportionally.

Let us assume that Δ A'B'C' a dilation of ΔABC.

Therefore, we have

\(\frac{PA'}{PA} =\frac{PC'}{PC}\)

⇒ \(\frac{2+4}{2} =\frac{3+5}{3}\)

⇒\(3=\frac{8}{3} ..............\) → \(which\) \(is\) \(not\) \(possible\)

Hence, Δ A'B'C' is not a dilation of ΔABC.

Answer:

C

Step-by-step explanation:

The solution to the initial value problem is:

y(t) = -(3/16)g(t) cos(t) + (1/4)g(t) sin(t)

The given initial value problem is a second-order linear ordinary differential equation with constant coefficients. The general solution of the homogeneous equation y'' + y' + 5/4y = 0 is given by:

r^2 + r + 5/4 = 0

Using the quadratic formula, we get:

r = (-1 ± √(1 - 5))/2 = -1/2 ± i√(3)/2

Thus, the general solution of the homogeneous equation is:

y_h(t) = c1e^(-t/2)cos(√(3)t/2) + c2e^(-t/2)sin(√(3)t/2)

To find the particular solution of the nonhomogeneous equation, we need to find a particular solution of the form y_p(t) = A cos(t) + B sin(t), where A and B are constants to be determined. Taking the first and second derivatives of y_p(t), we get:

y_p'(t) = -A sin(t) + B cos(t)

y_p''(t) = -A cos(t) - B sin(t)

Substituting y_p(t), y_p'(t), and y_p''(t) into the non-homogeneous equation, we get:

(-A cos(t) - B sin(t)) + (-A sin(t) + B cos(t)) + 5/4(A cos(t) + B sin(t)) = g(t)

Simplifying and matching the coefficients of cos(t) and sin(t), we get:

(3/4)A + B = g(t)

-A + (3/4)B = 0

Solving these equations for A and B, we get:

A = -3/16 g(t)

B = 1/4 g(t)

Therefore, the particular solution of the nonhomogeneous equation is:

y_p(t) = (-3/16)g(t) cos(t) + (1/4)g(t) sin(t)

The general solution of the nonhomogeneous equation is the sum of the homogeneous and particular solutions:

y(t) = y_h(t) + y_p(t)

= c1e^(-t/2)cos(√(3)t/2) + c2e^(-t/2)sin(√(3)t/2) - (3/16)g(t) cos(t) + (1/4)g(t) sin(t)

Using the initial conditions y(0) = 0 and y'(0) = 0, we get:

c1 = 0

c2 = 0

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The average rate of consumption from 6 AM to 3 PM is approximately 13.20 barrels per hour.

To find the average rate of consumption from 6 AM to 3 PM, we need to calculate the total fuel consumption during that time period and divide it by the duration.

Given that the factory operates from 6 AM to 6 PM, the time period from 6 AM to 3 PM is 9 hours.

The formula for fuel consumption is given as f(t) = 0.7t - 0.305t^2 + 11.

To find the total fuel consumption from 6 AM to 3 PM, we need to integrate the function f(t) from t = 0 (6 AM) to t = 9 (3 PM):

∫[0 to 9] (0.7t - 0.305t^2 + 11) dt

Integrating the function, we get:

[0.35t^2 - 0.1017t^3 + 11t] evaluated from 0 to 9

Substituting the limits of integration:

[0.35(9)^2 - 0.1017(9)^3 + 11(9)] - [0.35(0)^2 - 0.1017(0)^3 + 11(0)]

Simplifying:

[27.045 - 7.2591 + 99] - [0 - 0 + 0]

[27.045 - 7.2591 + 99]

= 118.7859

The total fuel consumption from 6 AM to 3 PM is approximately 118.79 barrels.

To find the average rate of consumption, we divide the total consumption by the duration:

Average rate of consumption = Total fuel consumption / Duration

= 118.79 barrels / 9 hours

= 13.20 barrels per hour (rounded to 2 decimal places)

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Answer:

106

X=180-74 =106

As they are interior angels their sum equal 180

Y = 180-74 =106

It's also Interior angel

The range, variance, and standard deviation are 8, 21.10, 445.21.

The range, variance, and standard deviation are 99, 40.14,1612

What is data?

Data is a collection of measurements or observations used as a source of information. There are numerous types of data and numerous ways to represent data.

Given data is

43, 41, 48, 47, 49

Arrange them in ascending order:

41, 43, 47, 48,49

The range is (49 - 41) =8

The mean is (41+43+47+48+49)/5 =45.6

Data      deviation from mean    square  deviation

41                         4.6                         21.16

43                         2.6                        6.76

47                         -1.4                        1.96

48                         -2.4                        5.76

49                         -3.4                        11.56

Total                                                  47.2

The standard deviation is s = √[(x-μ)²/N] = 21.10

The variance is s² = 445.21

Given data is

100, 1, 3, 95, 70, 4, 6, 10, 5

Arrange them in ascending order:

1, 3, 4, 5, 6, 10, 70, 95, 100

The range is (100 - 1) = 99

The mean is (1+3+4+6+5+10+70+95+100)/9 =32.67

Data      deviation from mean    square  deviation

1                         31.67                         1002.99

3                         29.67                       880.31

4                         28.67                        821.97

5                        27.67                         756.63

6                         26.67                        711.29

10                         22.67                      513.93

70                        -37.33                       1393.52

95                        -62.33                      3885.03

100                         -3.33                        4533.33

Total                                                     14508.0001

The standard deviation is s = √[(x-μ)²/N] = 40.14

The variance is s² = 1612

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Answer: C

So I was right, I guess.

To organize this information in a two-way table and Include the marginal frequencies, check the attachment.

any row or column in a data matrix multiplied by itself. In a table of students with their enrollments broken down by sex and field of study, for instance, the number of female students would be one marginal frequency, regardless of the field of study, and the number of students enrolled in a given field of study would be another, regardless of sex.

A two-way table is the best statistical tool available when gathering, contrasting, and analysing pairs of qualitative data. It's a table that pairs categorical data points—another word for qualitative data—into groups. Finding trends between the variables is done using the two-way table.

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Step-by-step explanation:

Explanation is in the attachment

hope it is helpful to you

The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

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Answer:

hello the data is missing but it is included in the explanation below

missing data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6

Answer :

A) range = 9 , variance = 8.3015,  standard deviation = 2.8812

B)  The results cannot be a representative of the variation of attractiveness among the population of adult males

Step-by-step explanation:

A ) calculate the Range, variance and standard deviation

The given data = 9, 6, 2, 1, 2, 5, 5, 1, 2, 6, 8, 10, 6, 6, 1, 5, 1, 3, 4, 4, 4, 5, 10, 9, 1, 6

i) Range = difference between largest and smallest values

              = 10 -1 = 9

ii) variance = summation of ; (xi − x)^2/n-1

                   = 207.5385/26−1   ≈ 8.3015

iii) standard deviation = \(\sqrt{variance}\)

                                    = \(\sqrt{8.3015}\) = 2.8812

B) The results cannot be a representative of the variation of attractiveness among the population of adult males

Answer:

Step-by-step explanation:

See attached diagram (not to scale).

All given details reflected.

a) Find the measure of XZ using the law of cosines:

b) Now using the law of sines find the measure of angle X:

The bearing of Z from X is: