How do you make the discontinuous classes as continuous classes explain with an example?

Answer:

r=-2.00000

s=2.00000

Step-by-step explanation:

= a_(n-1) x 1.5

1.5a_(n-1)

The angle measure of m∠GHK​ is 90°.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

∠GHK​ and ∠KHF​ form a linear pair.

That means the sum of the angle measure is 180°.

And we have ∠KHF = 90°.

So,

m∠GHK​ + m∠KHF = 180°

m∠GHK​ = 90°.

Therefore, m∠GHK​ = 90°.

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The complete question:

∠GHK​ and ∠KHF​ form a linear pair.

∠KHF = 90°.

Find m∠GHK?

1) The relationship among inscribed angles and their intercepted arcs is : Anywhere on the circle that the sides of an inscribed angle cross to produce an intercepted arc can serve as the angle's vertex. According to the Inscribed Angle Theorem, an inscribed angle's measure is equal to half of its intercepted arc's measure. Congruent inscribed angles are those that intersect the same arc.

2) To prove the angles opposite each other in an inscribed quadrilateral add up to 180: We may get around the argument that the angles form a circle by using the fact that the total number of angles in a quadrilateral is 360 degrees.

The measurements of opposing angles are (a+b) and (c+d), thus we can simply group the measures in the final equation as follows:

(a+b)+(c+d)=180.

Likewise, (a+d) and (b+c) are the measures of opposite angles, and we can just rearrange the equation to see that

(a+d)+(b+c)=180.

So, indeed, we see that the opposite angles in a cyclic quadrilateral are supplementary.

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Answer:73825

Step-by-step explanation:

Shuts shield grid

Answer:

\(j=8\)

Step-by-step explanation:

Special right triangles:

The sides of all 30-60-90 triangles are in the proportion \(x:x\sqrt{3}:2x\), where \(2x\) is the hypotenuse of the triangle and \(x\) is the side directly opposite to the 30 degree angle.

Since the base of the triangle is directly opposite to the 30 degree angle, the hypotenuse, j, must be equal to \(4\cdot 2=\boxed{8}\)

Basic trig:

\(\sin 30^{\circ}=\frac{4}{j},\\j=\frac{4}{\sin 30^{\circ}}=\boxed{8}\)

Answer:

x + 1, x, x - 4

Step-by-step explanation:

For x-intercept a, the factor is x - a.

The x-intercepts here are -1, 0, and 4, so the factors are:

x - (-1) = x + 1

x - 0 = x

x - 4

Answer: x + 1, x, x - 4

On solving the provided question, we got to know that - 40/155 adults will not have hypertension (70%),

The probability is calculated by dividing the total number of outcomes by the total number of possible ways an event may occur. Probability and odds are two different ideas. The chances are calculated by dividing the likelihood that a certain event will occur by the likelihood that it won't.

Probabilities are mathematical explanations of the chance that an event will happen or that a proposition is true. The probability of an occurrence is a number between 0 and 1, where 0 often indicates impossibility and 1 normally indicates certainty.

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The cost of the truck with 3 passengers is A = $ 45

Given data ,

Let's denote the number of passengers as P and the weight of the truck in pounds as W.

For the base rate of $30 per vehicle, the equation can be written as:

Cost = $30

For additional passengers beyond the first two, the equation can be written as:

Cost += ($5) * (P - 2)

For excess weight over 4,000 pounds, the equation can be written as:

Cost += ($10) * (W - 4000) / 500

To find the cost of a truck that weighs 5,000 pounds with three passengers, we substitute the values into the equation:

Cost = $30 + ($5) * (3 - 2) + ($10) * (5000 - 4000) / 500

Simplifying the equation:

Cost = $30 + $5 + $10

Cost = $45

Hence , the cost of a truck that weighs 5,000 pounds with three passengers would be $45

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In unit-vector notation, this magnetic field should have a value of (-1.805, 0, 0) Tesla.

The uniform magnetic field required to make an electron travel in a straight line through the gap between the two parallel plates is given by the equation B = (V1 - V2)/dv.

Plugging in the known values for V1, V2, and d gives us a result of B = 1.805 T. Since the velocity vector of the electron is perpendicular to the electric field between the plates, the magnetic field should be pointing along the direction of the velocity vector.

Therefore, the magnetic field that should be present between the two plates should point along the negative direction of the velocity vector in order to cause the electron to travel in a straight line.

In unit-vector notation, this magnetic field should have a value of (-1.805, 0, 0) Tesla.

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Step-by-step explanation:

SI = PxTxR/100

SI= (13000)(6)(4.7)/100

SI = 366600/100

SI= 3666

Answer:

\(\frac{dy}{dx} = \frac{sin(y) + ycos(x)}{sin(x) - xcos(y)}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Step-by-step explanation:

Step 1: Define

\(ysin(x) = xsin(y)\)

Step 2: Differentiate

Implicit Differentiation

Answer:

(4,7), (6,13), and (5,10)

Step-by-step explanation:

To determine if an ordered pair is a solution, substitute the coordinates in and check to see if they are true:

(2,2)

\(y=3x-5\\(2)\stackrel{?}{=}3(2)-5\\2\stackrel{?}{=}6-5\\2\neq1\)

Thus, (2,2) is not a solution.

(4,7)

\(y=3x-5\\(7)\stackrel{?}{=}3(4)-5\\7\stackrel{?}{=}12-5\\7\stackrel{\checkmark}{=}7\)

Thus, (4,7) is a solution.

(6,13)

\(y=3x-5\\(13)\stackrel{?}{=}3(6)-5\\13\stackrel{?}{=}18-5\\13\stackrel{\checkmark}{=}13\)

Thus, (6,13) is also a solution.

Lastly, (5,10)

\(y=3x-5\\10\stackrel{?}{=}3(5)-5\\10\stackrel{?}{=}15-5\\10\stackrel{\checkmark}{=}10\)

Thus, (5,10) is also a solution.

Answer:

10

Step-by-step explanation:

Symbols in a deck :

{S, H, D, C}

Drawing two cards :

The possibilities of combination in the sample space :

_____ S ______ H ______ D ______ C

S ___ SS _____ SH _____ SD _____ SC

H ___ HS _____ HH ____ HD _____ HC

D ___ DS _____ DH ____ DD _____ DC

C ___ CS _____ CH ____ CD _____ CC

IF the order of selection does not matter, then we have :

{SS, SH, SD, SC, HH, HD, HC, DD, DC, CC}

No, acute angle can not be equal to 90. if an angle equal to 90 then it is a right angle.

Acute angle

An angle smaller than the right angle is called an acute angle. In other words, the angle which is less than 90 degrees forms an acute angle.

An angle which is measuring less than 90 degrees is called an acute angle. This angle is smaller than the right angle (which is equal to 90 degrees). For example, ∠30o, ∠45o, ∠60o, ∠75o, ∠33o, ∠55o, ∠85o, etc. are all acute angles.

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9514 1404 393

Answer:

  an=12−1.5n

Step-by-step explanation:

The first term is 10.5.

The common difference is ...

  9 - 10.5 = -1.5

The n-th term can be described by ...

  an = a1 +d(n -1)

  an = 10.5 -1.5(n -1) = 10.5 -1.5n +1.5 . . . . eliminate parentheses

  an = 12 -1.5n

Answer:

x = 8; y = 29

Step-by-step explanation:

In a parallelogram, opposite angles are congruent.

8x = 7x + 8

x = 8

4y = y + 87

3y = 87

y = 29

Answer:

x = 8

y = 29

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

Answer:

B (15,9)

Step-by-step explanation:

There you go

Answer:

a

Step-by-step explanation:

- 6x + 2y = - 12 → (1)

6x + 5y = 117 → (2)

Add the 2 equations term by term to eliminate the x- term

0 + 7y = 105

7y = 105 ( divide both sides by 7 )

y = 15

Substitute y = 15 into either of the 2 equations and solve for x

Substituting into (2)

6x + 5(15) = 117

6x + 75 = 117 ( subtract 75 from both sides )

6x = 42 ( divide both sides by 6 )

x = 7

solution is (7, 15 ) → a

According to the given data, from 2005 to 2014, an average of 3,536 fatal unintentional drownings occurred annually, the total number of deaths from drowning each year would be 3,868.

For tornado deaths, we can calculate the average number of deaths per year from the given data. Adding up the number of deaths for each year and dividing by the number of years gives an average of approximately 124 deaths per year (60,595 total deaths divided by 488 years).

However, it's important to note that tornado death data is only available from 1875 to 2012, so this average may not be entirely accurate.

Comparing the two, it's clear that drowning deaths are much more common than tornado deaths in the United States. The average annual number of deaths from drowning (3,868) is over 30 times higher than the average annual number of deaths from tornadoes (124).

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SOLUTION

The given line passes through the points:

The slope of the line is calculated using:

Using the points the slope is:

The slope of the line is:

If you don’t need any further explanation, I’ll go ahead and end our session. Remember the answer is saved in your profile.

Answer:

D is the answer

Step-by-step explanation:

Krystal should choose Plan 1 as it will save her $180 over the course of a year.

Plan 1 costs $134.97 every 3 months, which means it costs Krystal $134.97/3 = $44.99 per month.

If Krystal plans to stay with one service plan for 1 year (12 months), then she would pay 12 * $44.99 = $539.88 for Plan 1.

To compare this to Plan 2, we need to know the cost of Plan 2. Let's say Plan 2 costs $59.99 per month. Then for one year, Krystal would pay 12 * $59.99 = $719.88 for Plan 2.

Comparing the two plans, Krystal should choose Plan 1 as it will save her $719.88 - $539.88 = $180 over the course of a year.

Note that the exact amount Krystal would save depends on the cost of Plan 2, which was not given in the problem. But the method for comparing the two plans is the same regardless of the actual cost of Plan 2.

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The conjugate of the expression √x - 5 - 2 when x > 5 is -(√x - 3) / (√x + 2).

The conjugate of an expression is obtained by multiplying both the numerator and denominator of the expression by the conjugate of the denominator.

We have the following expression below:

√x - 5 - 2

To determine the conjugate of the expression above, we first consider the denominator:

√x - 5

The conjugate of this expression is:

√x + 5

Therefore, to obtain the conjugate of the expression given above, we multiply the numerator and denominator by √x + 5.√x - 5 - 2 * √x + 5 / √x - 5 - 2 * √x + 5

This expression simplifies to:

-(√x - 3) / (√x - 5 + 2 * √x + 5)= -(√x - 3) / (√x + 2)

Therefore, the conjugate of the expression √x - 5 - 2 when x > 5 is -(√x - 3) / (√x + 2).

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The snellen letter chart is commonly used to test for visual acuity or clarity of vision.

The Snellen letter chart, named after the Dutch ophthalmologist Herman Snellen, is a widely used tool to assess visual acuity or clarity of vision. It consists of rows of letters or optotypes that decrease in size from top to bottom. The chart is typically displayed at a standardized distance of 20 feet (or 6 meters) from the person being tested.

When an individual reads the Snellen chart, the process involves the following steps:

1. Light enters the eye through the cornea, the transparent front surface of the eye.

2. The cornea focuses the incoming light onto the lens, which further refines the light rays.

3. The lens adjusts its shape to ensure that the light is accurately focused onto the retina, the light-sensitive layer at the back of the eye.

4. The retina contains specialized cells called photoreceptors, which convert light into electrical signals.

5. Among the photoreceptor cells, cones are primarily responsible for color vision and visual acuity. When a person focuses on a specific optotype (such as the letter "E" on the Snellen chart), the light reflecting from that optotype enters the eye and forms an image on the retina.

6. The cones in the retina, specifically in the central area called the macula, respond to the light stimulus and generate electrical signals.

7. These electrical signals are then transmitted via the optic nerve to the visual cortex in the brain for further processing and interpretation.

8. The brain processes the received signals and translates them into the perception of the letter "E" or any other optotype being viewed.

The clarity of vision is assessed by determining the smallest line of letters that can be accurately identified. The Snellen chart assigns a visual acuity measurement based on the ratio of the distance at which the chart is viewed and the distance at which a person with normal vision can read the line accurately. For example, if a person can read the 20/20 line from a distance of 20 feet, it indicates that they have normal visual acuity.

The Snellen chart is an essential tool in optometry and ophthalmology for diagnosing and monitoring vision problems such as nearsightedness (myopia), farsightedness (hyperopia), astigmatism, and other visual impairments. It helps determine the level of visual acuity and guides the prescription of corrective lenses or other treatments to improve vision.

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Answer:

Help with what is it mental help? Or no cause I’ve dealt with that a lot

Step-by-step explanation:

Answer:

The image attached is how to format a Punnett square. One parent's genes are at the top, and the other parent's genes are on the left side. Each square represents an equal 25% chance of what genes the offspring will have.

#3 should look like this:

\(\left[\begin{array}{ccc}&T&t\\t&Tt&tt\\t&Tt&tt\end{array}\right]\)

Hopefully now you can figure out the rest. If you need anymore help, ask :D

Cluster Sample is the sampling method used in this type of data collection.

Cluster sampling is a sampling technique used in statistics that divides the total population under consideration into externally homogeneous but internally heterogeneous groupings known as clusters. Each cluster essentially serves as a miniature representation of the overall population.

Using simple random sampling, some clusters are picked after the clusters have been identified, while the remaining clusters are left out of the study. A researcher must determine the right sampling strategy for each cluster after identifying the clusters.

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The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its Denominator, or to eliminate denominators from a radical expression.

To rationalize the denominator 1/7 + 3√2,

A rational number is a number that can be expressed as a ratio of two integers, with the denominator not equal to zero. The fraction 4/5, for example, is a rational number since it can be expressed as 4 divided by 5.

Step-by-Step SolutionTo rationalizes the denominator 1/7 + 3√2, we'll need to follow these steps.

Step 1: First, we need to create a common denominator for the two terms. The common denominator is 7. Thus, we can convert the expression to the following form:(1/7) + (3√2 × 7)/(7 × 3√2).

Step 2: Simplify the denominator to 7. (1/7) + (21√2)/(21 × 3√2).

Step 3: The numerator and denominator can now be simplified. (1 + 21√2)/(7 × 3√2).Step 4: Simplify further. (1 + 21√2)/(21√2).We have successfully rationalized the denominator!

The final answer is (1 + 21√2)/(21√2).

The final answer is (1 + 21√2)/(21√2). The process of rationalization involves changing the form of an expression to eliminate radicals from its denominator, or to eliminate denominators from a radical expression.

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The percentage of the downhill grade required for the combination to roll downhill at a constant speed without the application of any rim pull from the engine is equal to 11.5%.

Given data, Weight of tractor (Wt) = 24,500 lb

Weight of trailer (Wt) = 12,300 lb

Rolling resistance of tractor (rrt) = 80 lb/ton

Rolling resistance of trailer (rrt) = 220 lb/ton

Let us assume that the vehicle is traveling down the hill with velocity 'v'.

Therefore, the total weight of the combination is W = Wt + Wt = 24,500 + 12,300 = 36,800 lb

Now, force due to gravity = Weight * Sinθ

where, θ is the angle of inclination of the hill

Therefore, the force due to gravity = 36,800 * Sinθ

Now, force resisting the motion = rolling resistance * Weight * Cosθwhere, rolling resistance is given in lb/ton

So, rolling resistance of tractor = 80 * 24,500 / 2000 * Cosθ = 9800 / Cosθ

Rolling resistance of trailer = 220 * 12,300 / 2000 * Cosθ = 13530 / Cosθ

Now, the vehicle is moving down the hill with a constant velocity. So, there is no application of rim pull from the engine.

Therefore, the net force acting on the vehicle will be zero.

The force due to gravity = force resisting motion or the force due to gravity = rolling resistance of tractor + rolling resistance of trailer

i.e. 36,800 * Sinθ = 9800 / Cosθ + 13530 / Cosθ

Or, 36,800 * Sinθ * Cosθ = 9800 + 13530

Or, 18,400 * Sin2θ = 23330

Or, Sin2θ = 23330 / 18,400

Or, 2 * Sinθ * Cosθ = 23330 / 18,400

Or, 2 * Sinθ * √(1 - Sin2θ) = 23330 / 18,400

Or, 2 * Sinθ * √(1 - 23330² / 18,400²) = 23330 / 18,400

Or, Sinθ = 23330 / 18,400 * 2 * √(1 - 23330² / 18,400²)

Or, Sinθ = 0.2

Or, θ = 11.5°

Therefore, the percentage of the downhill grade required for the combination to roll downhill at a constant speed without the application of any rim pull from the engine is equal to 11.5%.

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