Suppose m ∠J K L=9 y+15 and m ∠J K N=5 y+2 . Find m∠J K L .

Answer:

slope = 3

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (2, 13) ← 2 ordered pairs from the table

m = \(\frac{13-4}{2-(-1)}\) = \(\frac{9}{2+1}\) = \(\frac{9}{3}\) = 3

Answer:

a-4,8+_84(4+4(*:84

dirkrk

The component form of the vector that translates will be 11i - 17j.

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The translation does not change the shape and size of the geometry. But changes the location.

The point A(-4, 8) is translated to the point A'(7, -9). Then the rule of the transformation is given as,

(7, - 9) = (- 4 + x, 8 + y)

Compare the abscissa, then we have

7 = - 4 + x

x = 7 + 4

x = 11

Compare the ordinate, then we have

y + 8 = - 9

y = - 8 - 9
y = - 17

The component form of the vector that translates will be 11i - 17j.

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Answer:

56.44444444444444

Step-by-step explanation:

that's the right answer

pls mark  me as brainliest

Therefore, Pump B will have a longer average cycle time compared to Pump A.

To determine which pump will have a longer average cycle time, we need to calculate the cycle time for each pump based on the given information and compare the results. The cycle time for a single-server system can be calculated using Little's Law: Cycle Time = (1 / Arrival Rate) * (1 / (1 - Utilization))

Given:

Arrival Rate = 0.2 car per minute

Squared-Coefficient of Variation (CV^2) for Arrival Rate = 1

Utilization can be calculated as the product of the mean effective process time and the arrival rate:

Utilization = Mean Effective Process Time * Arrival Rate

For Pump A:

Mean Effective Process Time (A) = 4 minutes

Squared-Coefficient of Variation for Pump A = 0.5

Utilization (A) = 4 * 0.2 = 0.8

For Pump B:

Mean Effective Process Time (B) = 3 minutes

Squared-Coefficient of Variation for Pump B = 5

Utilization (B) = 3 * 0.2 = 0.6

Now, let's calculate the cycle time for each pump:

Cycle Time (A) = (1 / 0.2) * (1 / (1 - 0.8))

= 5 minutes

Cycle Time (B) = (1 / 0.2) * (1 / (1 - 0.6))

= 2.5 minutes

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The function 8x f(x) = x² + 3 is a polynomial function, which means it is continuous on the entire real number line, that is, it has no holes, jumps, or vertical asymptotes in its graph

Polynomial functions, in general, are continuous on the entire real number line. The definition of a continuous function is one that can be drawn without lifting your pencil from the paper. The polynomial function is a function of x of the form: f(x) = a₀ + a₁x + a₂x² + … + anxn, where a₀, a₁, a₂, …, an are real numbers and n is a non-negative integer. The polynomial function can be written in factored form as: f(x) = a (x – r₁) (x – r₂) … (x – rn), where r₁, r₂, …, rn are the roots or zeros of the function and a is the leading coefficient. In this case, the function f(x) = x² + 3 is a polynomial function of degree 2.

Since all polynomial functions are continuous on the entire real number line, the given function is also continuous on the entire real number line. Thus, we can conclude that the function f(x) = x² + 3 is continuous on the entire real number line.\

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Using the Counting the faces of two dice,

the atleast 17 number of faces are possible on the combination of two dice.

First, we have to count the favorable cases,

We know both dice have atleast 6 faces.

It gives 6 favorable cases for a sum of 7.

If we can count them if mean even if dice had more than 6 faces, will matter of for sum of 7.

Now, the mean, we need 6× 4/3=8 (favorable cases for the sum of 10)

If we count 3 favorable cases for each having 6 faces.

For more than 9 faces on a dice matter give the denominator (sample space) are the same for both sum of 7 and the sum of 10, and the probability of one is in proportion to the other.

It mean, additional 5 cases must be ( 7,2), (2,7), (8,2), (2,8) ,(9,1)

So , one of the dice has 8 faces and the other has atleast 9 faces.

Now, we must have atleast 17 combined faces of two dice for probability . So, we get if 12 with configration of 8 faces on one dice.

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Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

Values of Pearson r may range from -1 to +1.  C. -1;+1. The value of Pearson r is always between -1 and +1, inclusive.14. You would use Linear Regression analysis to predict how much of the variation in seores on a Sociology test can be explained or predicted by the number of hours the students studied for the test.

C. Linear Regression. Linear Regression is the most appropriate statistical method for establishing a relationship between a dependent variable and one or more independent variables. In testing for significance, what degrees of freedom (df) value would be used if a value of Pearson r is calculated for a sample of 62 individuals?  B. 60. The degrees of freedom are equal to the sample size minus two. Therefore, the degrees of freedom for a sample of 62 individuals would be 62 - 2 = 60.

When conducting a correlational study using the Pearson r, the null hypothesis is that there is no correlation for the population of interest. C. There is a non-zero correlation for the sample. The null hypothesis in a correlational study using the Pearson r is that there is no correlation for the population of interest. The alternative hypothesis is that there is a non-zero correlation for the population of interest. If a value of Pearson r of 0.85 is statistically significant, it means that you can make predictions based on the relationship between the two variables. C. Make predictions. If a value of Pearson r is statistically significant, it means that there is a strong relationship between the two variables, and you can make predictions based on this relationship. However, you cannot establish a cause-and-effect relationship based on a correlation coefficient alone.

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Answer:

Work shown below!

Step-by-step explanation:

h(x) = -50x + 450

This is a linear function because it is the form y = mx + b

Graph 2 and scenario A and Table 3

g(x) = 4^x

It is a growth in the graph because the slope is positive

Graph 1 and scenario C and Table 1

f(x) = -16x^2 + 1900

It is a decay in the graph because the slope is negative

Graph 3 and scenario B and Table 2

9514 1404 393

Answer:

  a) graph 2, table 3

  b) graph 3, table 2

  c) graph 1, table 1

Step-by-step explanation:

a) "At a constant rate" means any graph and table will be a linear function. Only graph 2 is a straight line (linear). Only table 3 matches graph 2.

__

b) As the wrench drops, its height will be decreasing. Only graph 3 is a decreasing function (of the two remaining). Only table 2 matches graph 3.

__

c) Table 1 and graph 1 are the only remaining choices. Happily, they match each other and the scenario.

_____

Additional comment

You can match the tables to the graphs simply by looking at the y-value for x=0.

Therefore, approximately 0.0475 or 4.75% of smoke alarms will have a life span of less than 1 year as the cumulative probability for a Z-score of -1.67 is approximately 0.0475.

To find the proportion of smoke alarms with a life span of less than 1 year, we can use the Z-score formula and the properties of the standard normal distribution.

First, we calculate the Z-score using the formula:

Z = (X - μ) / σ

Where X is the value we are interested in (1 year), μ is the mean (2 years), and σ is the standard deviation (0.6 years).

Z = (1 - 2) / 0.6

= -1.67

Next, we look up the corresponding cumulative probability (proportion) for the Z-score of -1.67 in the standard normal distribution table or by using statistical software. The cumulative probability corresponds to the proportion of values less than the given Z-score.

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Answer: please help me with this, I will do whatever you want but please help me please!

Step-by-step explanation:

The volume of the solid generated by revolving the region enclosed by the given triangle around the x-axis is 80π cubic units.

To find the volume of the solid generated by revolving the region enclosed by the triangle with vertices (3,2), (3,4), and (7,4) around the x-axis, we can use the method of cylindrical shells.

First, let's draw the triangle and visualize the region:

   (3,4)        (7,4)

     *-------------*

      \           /

       \         /

        \       /

         \     /

          \   /

           \ /

           (3,2)

We notice that the base of the triangle lies along the x-axis, and the height is the vertical distance between the points (3,2) and (3,4), which is 4 - 2 = 2 units.

The width of the triangle, which is the horizontal distance between the points (3,2) and (7,4), is 7 - 3 = 4 units.

To find the volume, we integrate the area of the cylindrical shells as we revolve the triangle around the x-axis.

The radius of each cylindrical shell is the distance from the x-axis to the triangle at a specific x-coordinate. Since the triangle lies on the x-axis, the radius will simply be the x-coordinate itself.

We integrate from x = 3 to x = 7, using the following formula:

Volume = ∫[3 to 7] 2πx * height * dx

= 2π ∫[3 to 7] x * 2 dx

= 4π ∫[3 to 7] x dx

= 4π [(1/2)x^2] [3 to 7]

= 4π [(1/2)(7^2 - 3^2)]

= 4π [(1/2)(49 - 9)]

= 4π * 20

= 80π

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Answer:

m = -12

Step-by-step explanation:

everything is ok til the 3rd equation line

-15m - 30 = -12m + 6

-30 - 6 = -12m + 15m

-36 = +3m

-36/3 = m--------> 3 x -12 = - 36

-12 = m

The percent increase when \($x$\) increases by one unit is approximately 15.8%.

What is exponential function?

An exponential function is a mathematical function of the form:

\(f(x) = a^x\)

where a is a constant greater than zero and not equal to 1, and x is the variable that takes on real numbers.

To find the percent increase for the exponential function \($A = 82\times 1.16^x$\), we need to find the ratio of the final value to the initial value, subtract one, and then multiply by 100 to convert to a percentage.

Let's suppose we are interested in finding the percent increase when \($x$\) increases by one unit. We can start by calculating the initial value of \($A$\) when \($x = 0$\):

\($$A = 82 \times 1.16^0 = 82$$\)

Then we can calculate the final value of \($A$\) when \($x = 1$\):

\($$A = 82 \times 1.16^1 \approx 95.12$$\)

Now we can find the ratio of the final value to the initial value:

\($\text{ratio} = \frac{\text{final value}}{\text{initial value}} = \frac{95.12}{82} \approx 1.158$$\)

Next, we subtract one and multiply by 100 to get the percent increase:

\($$\text{percent increase} = (\text{ratio} - 1) \times 100 \approx (1.158 - 1) \times 100 \approx 15.8%$$\)

Therefore, the percent increase when \($x$\) increases by one unit is approximately 15.8%.

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We have to find the measure of angle at vertex B.

We can use the Law of sines, that let us write proportions between the sine of an angle of the triangle and the sides.

This law tells us that the quotient between the sine of an angle of the triangle and the length of the opposite side is equal for each of the three angles of the triangle.

So in this case we can write:

We can replace the values we already know and calculate the measure of B as:

Answer: B = 37.75°

Answer:

f(2r) 6r - 5

Step-by-step explanation:

Substitute x = 2r into f(x) , that is

f(2r) = 3(2r) - 5 = 6r - 5

Answer: Density = 0.23 tons per cubic meter.

Step-by-step explanation:

Formula : \(Density=\dfrac{Mass(in \ ton)}{Volume (in\ m^3)}\)

1 ton = 32000 ounces

⇒ 1 ounce = 0.00003125 ton

⇒  7 ounces = 7(0.00003125)=  0.00021875 ton

1 gallon = 0.00378541 cubic meter

2.5 gallons = 0.009475 cubic meter

Density= \(\dfrac{0.00021875}{0.009475}\text{ tons per cubic meter}\)

\(\dfrac{21875}{94750}\text{ tons per cubic meter}\approx0.23\text{ tons per cubic meter}\)

Hence, Density = 0.23 tons per cubic meter.

Answer:

0.02 tons per cubic meter

Step-by-step explanation:

Answer:

15x³ + 16 dollars/hour

Step-by-step explanation:

This is a composite function, where we are supposed to find f( g(x) ).

So, all we have to do is substitute the function of g(x) for every x in the function of f(x), like this:

f(g(x)) = 3(\(\sqrt{5x^{3} }\) )² + 16

          = 3(5x³) + 16

          = 15x³ + 16 dollars/hour

Answer:

9/3-Latoya

30/6-Mary

20/5-Melissa

Step-by-step explanation:

Answer:

you have to divide ➗ the number

The statement is not true for spherical geometry. Because the sum of the angles in a triangle in spherical geometry is not equal to 180 degrees.

"Information available from the question"

In the question:

In Euclidean geometry the sum of the angles in a triangle equals 180 degrees.

We have to identify that this is true for spherical geometry also;

Now, According to the question:

In a Euclidean space, the sum of angles of a triangle equals the straight angle (180 degrees, π radians, two right angles, or a half-turn). A triangle has three angles, one at each vertex, bounded by a pair of adjacent sides.

The sum of the angles of a spherical triangle is not equal to 180°. A sphere is a curved surface, but locally the laws of the flat (planar) Euclidean geometry are good approximations. In a small triangle on the face of the earth, the sum of the angles is only slightly more than 180 degrees.

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As a car dealer lowers a vehicle that was worth 18300 to 16000 by applying the formula of change in percentage we get that by 12.569 percentage (approximately) the price gets lowered .

The initial price of the car is set at P = 18300 (units)

The price after lowering drom P becomes A= 16000 (units)

Hence the change in price (or value) of the car, that is the price of the car is lowered by, C = (initial price - lowered price) = (P - A) = (18300 - 16000) units = 2300 units.

The formula for calculating percentage change is given as follows,

Change in percentage = [(Change in value)/ ( Initial value) ]*100

⇒Change in percentage = (C/ P)*100

⇒ Change in percentage =( 2300/ 18300)*100 = 12.569% (approximately)

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To solve the given matrix linear system, we can use matrix inversion. Let's denote the matrix X as X = [x y] and the given matrix on the right-hand side as B = [3 x]. The linear system can be written as AX = B, where A is the coefficient matrix:

[1 1]

[2 3]

To solve for X, we need to find the inverse of matrix A and multiply it with matrix B: X = A^(-1) * B.

First, let's calculate the inverse of matrix A:

A^(-1) = (1/(13 - 12)) * [3 -1]

[-2 1]

Next, let's multiply the inverse of A with B:

X = A^(-1) * B = [3 -1] * [3 x]

[-2 1]

This gives us the following system of equations:

3x - y = 3

-2x + y = x

From the second equation, we can simplify it to:

-2x + y = x

-3x + y = 0

Now we can solve this system of equations. Adding the two equations together, we get:

-3x + y + -2x + y = 0 + 0

-5x + 2y = 0

Solving the first equation, we get:

3x - y = 3

3x = y + 3

x = (y + 3)/3

Substituting this value of x into the equation -5x + 2y = 0, we get:

-5((y + 3)/3) + 2y = 0

-5(y + 3) + 6y = 0

-5y - 15 + 6y = 0

y = 15

Now, substitute the value of y back into the equation x = (y + 3)/3:

x = (15 + 3)/3

x = 18/3

x = 6

Therefore, the solution to the given matrix linear system is x = 6 and y = 15.

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Answer:

Length = 10.3

Step-by-step explanation:

Base = 9

Height = 5

Length = 10.3

Answer:

\( m\angle CBE = 60\degree \\

m\angle FEB = 40\degree \)

Step-by-step explanation:

If the given triangle is drawn to scale, then on measuring the required angles with protractor, we find:

\(m\angle CBE = 60\degree \\

m\angle FEB = 40\degree \\\)

Answer:

h(-1) = - 6

Step-by-step explanation:

To solve, simply sub -1 into the equation for x:

h(x) = 3x-3

h(-1) = 3(-1) - 3 = - 3 - 3 = - 6

One of the factors of the given quadratic expression is (x+2).

The given quadratic expression is:

\(6x^{2} +7x-10\)

Any expression of the form \(ax^{2} +bx+c\) is called a quadratic expression where a≠0.

Splitting the middle term of the given expression

\(6x^{2} +12x-5x-10\)

\(6x(x+2)-5(x+2)\)

\((x+2)(6x-5)\)

Hence, one of the factors of the given quadratic expression is (x+2).

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