Find the particular solution to the differential equation subject to the given initial condition. dB/dt + 0.3B - 30 = 0, B(3) = 6 NOTE: Round your value for the integration constant to the nearest integer. B =

The trigonometric ratio which can be used to find the measurement of F using only the lengths is: D. tangent only.

In geometry, a tangent is also known as a tangent line and it can be defined as a straight line that touches a plane curve at a specific point.

Mathematically, the tangent of an angle is given by this expression:

Cosθ = Adj/Hyp

Where:

Since both the opposite side and adjacent side of this right-angled triangle are given, cosine is the trigonometric ratio which can be used.

For this right-angled triangle, the cosine of the angle (θ) is given by:

Cosθ = 9/F

F = 9/Cosθ

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The multiple standard error of estimate measures C. variation due to the relationship between the dependent and independent variables.

Option C is the correct answer: "Variation due to the relationship between the dependent and independent variables."

The multiple standard error of estimate is a statistical measure that quantifies the average amount of variation or scatter in the observed data points around the regression line in a multiple regression analysis. It provides an estimate of the typical distance between the actual observed values of the dependent variable (Y) and the predicted values based on the independent variables (X).

It represents the standard deviation of the residuals (the differences between the observed values of Y and the predicted values). The multiple standard error of estimate helps assess the accuracy of the regression model in predicting the dependent variable based on the independent variables.

Option A, "Change in Y for a change in X," refers to the slope or coefficient of the regression line, not the multiple standard error of estimate.

Option B, "Variation of the data points between Y and Y," does not accurately describe the role of the multiple standard error of estimate.

Option D, "Amount of explained variation," is not correct either. The amount of explained variation is typically measured by the coefficient of determination (R-squared) in regression analysis, which represents the proportion of the dependent variable's variance that can be accounted for by the independent variables, not by the multiple standard error of estimate.

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Answer:

72 ft

Step-by-step explanation:

i got this question correct

ANSWER

x = 41

EXPLANATION

The given angles are supplementary, so their measures add up to 180°,

Now we have an equation for x. First, add like terms,

Then subtract 16 from both sides of the equation,

And finally, divide both sides by 4,

Hence, x = 41.

Answer:

44

Step-by-step explanation:

You plug in both numbers for the corresponding letters

Answer:

Step-by-step explanation:

54-16=38

38 divided by 1/2 is 19

so your answer is 19

hope that helps

The value of x that makes the equation true is 8

A linear equation is a type of equation that the highest power of it's variable is 1. Example of linear equation include, x+2 =y, x+7/2 =15.

The graph of a linear equation is a straight line and it is represented in form of y = mx+b. Where m is the slope and b is the y intercept.

Solving x-7 = (3/4)x -5

collecting like terms

x-(3/4)x = 7-5

x/4 = 2

x = 8

therefore the value of x that will make the equation x-7 = (3/4)x -5 true is 8.

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Answer: median and IQR

Step-by-step explanation:

one is skewed

The better statistics to compare the team scores are median and IQR.  

Option D is the correct answer.

We have,

From the box plot,

We can easily find the value of the median and Interquartile range.

Now,

Team A:

Median = 68

First quartile = 65

Third quartile = 80

IQR = 80 - 65 = 15

Team B:

Median = 79

First quartile = 68

Third quartile = 90

IQR = 90 - 68 = 22

Thus,

The better statistics to compare the team scores are median and IQR.  

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For the company to practice price discrimination, there should not be any resale of its product, is not true if a public utility company is considered a monopolist. This is because price discrimination involves charging different prices to different groups of customers based on their willingness to pay. Resale of the product can actually facilitate price discrimination as it allows different customers to buy the product at different prices and then resell it to others. The other options are true for a monopolist, such as having upward sloping demand and supply curves, charging a price higher than its marginal revenue, and determining profit maximizing quantity at the point where marginal revenue equals marginal cost.

Let's analyze each statement:

A. The company's demand curve and supply curve are upward sloping.
This statement is NOT true for a monopolist. A monopolist faces a downward sloping demand curve, which means that they can increase the quantity sold by lowering the price. The supply curve does not apply in the traditional sense for monopolists, as they have the power to set both the price and quantity produced.

B. Its price must be higher than its marginal revenue.
This statement is true for a monopolist. Under a monopoly, the price charged by the company is higher than its marginal revenue due to the downward-sloping demand curve.

C. For the company to practice price discrimination, there should not be any resale of its product.
This statement is true. In order for a monopolist to successfully engage in price discrimination, they must prevent the resale of their product, ensuring that consumers cannot undercut the monopolist's pricing strategy.

D. Its profit maximizing quantity is determined where its marginal revenue equals its marginal cost.
This statement is true. A monopolist maximizes its profit by producing the quantity where marginal revenue equals marginal cost, and then setting the price based on the demand curve at that quantity.

So, the statement that is NOT true for a public utility company considered as a monopolist is: A. The company's demand curve and supply curve are upward sloping.

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Answer:

39

Step-by-step explanation:

The average rate of change obtained from the ratio of the change in y to the change in x is 39.

The average rate of change can be obtained using the relation :

Rate of change = (y2 - y1) ÷ (x2 - x1)

At ; x1 = 1

y1 can be calculated from the function ;

y1 = 3(1³) + 1 = 3(1) + 1 = 4

At ; x2 = 3

y1 can be calculated from the function ;

y2 = 3(3³) + 1 = 3(27) + 1 = 82

Rate of change can be calculated thus :

Slope = (82 - 4) ÷ (3 - 1) = 78 ÷ 2 = 39

Therefore, the average rate of change is 39.

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Answer:

x = 39

Step-by-step explanation:

In a parallelogram the opposite angles are congruent, thus

3x - 15 = 2x + 24 ( subtract 2x from both sides )

x - 15 = 24 ( add 15 to both sides )

x = 39

Answer:

x = 39

Step-by-step explanation:

In a parallelogram, oppsite angles are the same (congruent).

Therefore:

3x- 15 is equal to 2x + 24

Which can be written as:

3x - 15 = 2x + 24

Now we can solve for x

3x - 15 = 2x + 24

3x - 2x - 15 = 24

x - 15 = 24

x = 24 + 15

So, x = 39

(OPTIONAL):

(You can find the vlaue of the angles by plugging in x = 39 into the equations for example, 3x - 15 becomes 3(39) - 15 ----> 117 - 15 ----> 102° . )

Hope this helped! :)

The height, x, of the prism is 6.6feet

The formula for calculating the volume of the figure is expressed as:

Volume = Base area * Height

Base area = 0.5(5+8) * 5

Base area = 0.5(13)(5)

Base area = 32.5 feet

Since the height of the prism is x, then;

214.5 = 32.5x

x = 214.5/32.5

x = 6.6feet

Hence the height, x, of the prism is 6.6feet

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Answer:

7.40ft is your answer

Step-by-step explanation:

Answer:

The distance between them is 105.07 km

Step-by-step explanation:

First we need to find the distance travelled by each ship.

To find this distance, we should use the formula:

distance = speed * time

For ship A, we have:

distance1 = 30 * 3 = 90 km

For ship B, we have:

distance2 = 37 * 3 = 111 km

Now, to find the distance between the ships, we can use the law of cosines, where a, b and c are the respectively the distance travelled by ship A, the distance travelled by ship B and the distance between them:

c^2 = a^2 + b^2 - 2*a*b*cos(62)

c^2 = 90^2 + 111^2 - 2*90*111*0.4695

c^2 = 11040.39

c = 105.07 km

The distance between them is 105.07 km

The derivative of the function is y'(x) = 24x(x² + 8)^2.

Given: y = 4(x² + 8)^3, and f(u) = 4eu.

First, we need to find the function g(x) such that y = f(g(x)). Comparing y and f(u), we get:

4(x² + 8)^3 = 4e^(g(x))

We can deduce that g(x) must be of the form:

g(x) = ln((x² + 8)^3)

Now, let's find the derivatives f'(u) and g'(x).

f'(u) = d(4eu)/du = 4eu

g'(x) = d[ln((x² + 8)^3)]/dx = 3(x² + 8)^2 * (2x) / (x² + 8)^3 = 6x / (x² + 8)

Lastly, we'll find the derivative of the function y(x) using the chain rule:

y'(x) = f'(g(x)) * g'(x)

y'(x) = [4e^(ln((x² + 8)^3))] * [6x / (x² + 8)]

y'(x) = [4(x² + 8)^3] * [6x / (x² + 8)]

y'(x) = 24x(x² + 8)^2

So the derivative of the function y(x) is:

y'(x) = 24x(x² + 8)^2

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Answer:

4.1968

Explanation:

Given that:

angle: 25°

opposite: x

adjacent: 9

So, use the tan rule:

opposite/adjacent = tan(x)

x/9 = tan(25)

x = 9tan(25)

x = 4.1968

Option A

Answer:

26.6

Step-by-step explanation:

simplify -26.6 divided by -1 to 26.6

Answer:

26.6

Step-by-step explanation:

- 26.6 / - 1

- 26.6 = - 1 x 26.6

- 1 = - 1 x 1

- 26.6 / - 1

= ( - 1 x 26.6 ) / ( - 1 x 1 )

= ( - 1 / - 1 ) x ( 26.6 / 1 )

= 1 x 26.6

= 26.6

The two  statements that are logically true as per the given data is q=>p and  p ∧ q .

p = raining

q = Robert is laughing

q=>p   this is because the entire proposition is logically true when the conclusion of the condition is true.

and

p ∧ q   means that it is raining and Robert is laughing which is again logically true.

If two logical statements have the same truth value in all circumstances, they are said to be comparable. This fact can occasionally be used to demonstrate a mathematical result by switching out one expression for an equivalent one while maintaining the original compound proposition's truth value.

Propositional types based on Truth values

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To create a graph comparing the distribution of housing status for males and females, you can use a bar chart or a stacked bar chart. The following is an example of how the graph might look:

```

     Housing Status Distribution by Gender

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

                  Males   Females

Owned             |####   |######

Rented            |#####  |######

Living with family|###### |########

Homeless          |##     |###

Other             |###    |####

Legend:

# - Represents the number of individuals

```

In the above graph, the housing status categories are listed on the left, and for each category, there are two bars representing the distribution for males and females respectively. The number of individuals in each category is represented by the number of "#" symbols.

Please note that the specific distribution data for males and females would need to be provided to create an accurate graph.

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The car οvertakes twο buses οn its way tο the city center with the given time and distance.

On its jοurney tο the city centre, the autοmοbile wοuld never pass any buses if it mοved at the same pace as the bus. This is due tο the fact that if bοth the autοmοbile and the bus are mοving at the same speed, their separatiοn will remain cοnstant. Hence, withοut passing any buses, the autοmοbile wοuld arrive in the city centre at the same time as the bus.

Let us suppοse the distance = p.

The distance travelled by the bus in 60 minutes is d/60.

The distance cοvered by the bus in 35 minutes is:

d/60(35)

Fοr the first bus:

It leaves 60 minutes befοre car, thus the distance travelled is:

(d/60) x 60.

If the car οvertakes thus bus by an additiοnal distance x, then the distance travelled by car is:

d = (d/60) x 35 + (d/60) x 60 + x

d = (5/12)d + x

x = 7/12 d

Fοr the secοnd bus:

The bus wοuld have left the airpοrt 120 minutes befοre the car:

(d/60) x 120

The distance cοvered by car with additiοnal distance y is:

d = (d/60) x 35 + (d/60) x 60 + (7/12)d + y

d = (5/6)d + y

y = 1/6d

The car οvertakes the bus thus,

(7/12)d + (1/6)d = d

d = 12/5

Therefοre, the car οvertakes twο buses οn its way tο the city centre.

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Answer:

The last one

Step-by-step explanation:

This is because 8x2 is doubling8 and then it also asks to multiply 4 and 2

Lastly it says subtract second number from first which means subtract 4 by 2 from 8 by 2

Hope this makes sense

Answer:

26.8 inches of fabrics was used on headband and wristband for each player

Step-by-step explanation:

Headbands for 31 players and 3 couches = 611.66 inches of fabric

Total number of people = 31 players + 3 couches

= 31 + 3

= 34 people

Fabrics per person's headbands = Total inches of fabrics for headbands / total number of people

= 611.66 inches of fabric / 34 people

= 17.99 inches of fabrics per person

Wristband for 31 players = 273.11 inches of fabric

Fabric per person's wristband = total inches of fabrics for wristband / number of players

= 273.11 inches of fabric / 31

= 8.81 inches per person

How much fabric was used on a headband and wristband for each player?

= Fabrics per person's headbands + Fabric per person's wristband

= 17.99 inches + 8.81 inches

= 26.8 inches of fabrics was used on headband and wristband for each player

Answer:

D. 4

Step-by-step explanation:

The lines cross on the point (2.5,4), this is the only place on the graph where the lines share the same y-value.

Carol can do the same work in 3 hours as it is did by bob

What is Arithmetic equation?

The area of mathematics known as arithmetic deals with the study of numbers and the numerous operations that can be performed on them.

Addition, subtraction, multiplication, and division are the fundamental mathematical operations.

bob + carol = 2 hours

bob = 6 hours

L.C.M of both equation is 6

∴efficiency of  bob + carol is 3

∴efficiency  bob is 1

Then, 3 - 1 = 2

total work ÷ 2

6 ÷ 2 = 3

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Answer:

sina = cosb = \(\frac{3}{5}\)

Step-by-step explanation:

sina = \(\frac{opposite}{hypotenuse}\) = \(\frac{9}{15}\) = \(\frac{3}{5}\)

cosb = \(\frac{adjacent}{hypotenuse}\) = \(\frac{9}{15}\) = \(\frac{3}{5}\)

Answer:

false

Step-by-step explanation:

I hope this helps!!

Answer:

set of even counting number is well-defined

Answer:

Perpendicular line: y = ⅕x + 0 or y = ⅕x

Step-by-step explanation:

Given the point, (10, 2), and the linear equation, y = -5x + 7:

In order to find the equation of the perpendicular line that passes through (10, 2), we must first determine the definition of perpendicular lines.

Perpendicular lines have negative reciprocal slopes ⇒ this means that when you take and multiply the slopes of both lines, it results in a product of -1.

                    m₁ × m₂  = -1

                     -5 ×  ⅕  = -1

Now that we have the slope of the other line, m₂ = ⅕, and the given point, (10, 2), substitute these values into the slope-intercept form to solve for the y-intercept, b :

y = mx + b

2 = ⅕(10) + b

2 = 2 + b

Subtract 2 from both sides:

2 -2 = 2 -2 + b

0 = b

Hence, the y-intercept is b = 0.

The linear equation of the perpendicular line that passes through point (10, 2) is: y = ⅕x + 0 or   y = ⅕x

A triangle contains three vertices, three sides, and three altitudes. The location where these three sides intersect is known as the orthocenter.

Every triangle has a different position for the orthocenter; for example, an equilateral triangle has the same orthocenter, circumcenter, incenter, and centroid, but other triangles will have a different position.

At Point M is at (1, 3) : The orthocenter is located inside an acute-angled triangle in this scenario.

At Point R is at (3, 9) : The orthocenter is located outside the triangle in the case of an obtuse-angled triangle.

At Point E is at (10, 2) : The orthocenter of a right-angled triangle is located at the right angle's apex.

A triangle is a basic three-sided polygon with three vertices. The "orthocenter of a triangle" is the intersection of a triangle's three altitudes, and it is typically depicted by the letter "H." A line segment drawn perpendicularly from each vertex to the opposite side of a triangle's opposing side is the triangle's height.

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