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Rational functions

The exchange rate between Japanese Yen and Nepali Rupees in this case is given by Rs 0.92 per Yen.

The exchange rate between Japanese Yen and Nepali Rupees is

1 JPY = 0.7184 NPR

Therefore, the exchange rate is  6,852 JPY = 6,320 NPR

Therefore, the exchange rate between Japanese Yen and Nepali Rupees is 0.7184 NPR per 1 JPY.

The exchange rate between Japanese Yen and Nepali Rupees is given by the following formula:

Exchange Rate = (Total Amount in Nepali Rupees/Total Number of Japanese Yen)

Exchange Rate = (Rs 6320/6852 Yens) = Rs 0.92 per Yen.

Therefore, the exchange rate between Japanese Yen and Nepali Rupees in this case is given by Rs 0.92 per Yen.

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The moment of inertia for rotation about the z axis is  \(I & =\frac{a^2 M}{3}\).

A triangular prism of mass m, whose two ends are equilateral triangles.

Two ends are equal.

The xy plane with side 2a, is centered on the origin with its axis along the z axis.

Find the moment of inertia for rotation the z-axis.

It is divide into 4 triangles with side 'a' k one side is 3cm.

\($$\begin{aligned}& I_{\text {BiG }}=16 I_{\text {small }} . \\& I_{\text {BIG }}=4 I_{\text {small }}+P_{A T}\end{aligned}$$\)

It is fact that the big triangle is made up from four small triangles. connected with parallel axis theorem.

Now, we have to find the distance from the center of mas of small outer triangles to the origin. so, that it is PAT.

\($$\therefore z=2 \sqrt{x^2-\frac{a}{2} ^2}$$\)

\($$\begin{aligned}& =2 \sqrt{\left(\frac{a}{\sqrt{3}}\right)^2-\frac{a^2}{4}} \\& =2 \sqrt{\frac{a^2}{3}-\frac{a^2}{4}} \\I_{\text {Big }} & =\frac{\sqrt{3}}{3} a \cdot \\& \left.=4 I_{\text {small }}+3 m \frac{\sqrt{3}}{3} a\right)^2 \\I_{\text {Big }} & =4 I_{\text {small }}+\frac{3 m}{4} \frac{1}{3} a^2 \\& =\frac{a^2}{4}\end{aligned}$$\)

⇒ Now, by using the \($I_{\text {Big }}=I$\)

⇒\(I & =4\left(\frac{\sqrt{2}}{16}\right)+\frac{a^2 M}{4} \\\)

⇒\(4 I & =I+a^2 m\)

⇒\(4 I-I & =a^2 m \\\)

⇒\(3 I & =a^2 M . \\\)

⇒\(I \quad & =\frac{a^2 M}{3}\)

Therefore, the moment of inertia is \(I & =\frac{a^2 M}{3}\).

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Answer:

Step-by-step explanation:

Remark

You need the work done (I think), and the power developed from the givens. This question is just a straight forward application of the formulas for work and power.

Givens

F = 100 N

d = 5 meters

t = 15 seconds

Formulas

W = F * d

Power = F * d / t

Solution

Work

W = 100 N * 5 meters

W = 500 Newton Meters or 500 J

Work = 500 Joules

Power

P = F * d / t

Power = 100 * 5 / 15

Power = 33.3 Watts.

Answer:

sec csc(theta) = 6/4

Step-by-step explanation:

Answer:

47.12389 Rounded is 47.12

Step-by-step explanation:

V=πr2h=π·12·15≈47.12389

Armed force and other for Henderson high school is greater than

Johnson High School.

The mode for each school is college.

Options F and G are the correct answer.

We have,

The number of students in Henderson High School.

Work = 96

College = 114

Armed forced = 48

Other = 42

The number of students in Johnson High School.

Work = 30

College = 40

Armed forced = 15

Other = 15

From the information,

The number of students in Work for Henderson High School is greater than Johnson High School.

Now,

Henderson High School:

Armed force and other = 48 + 42 = 90

Mode = college

Johnson High School.

Armed force and other = 15 + 15 = 30

Mode = college

Thus,

Armed force and other for Henderson high school is greater than

Johnson High School.

The mode for each school is college.

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\(\boxed{\huge\textsf{\boxed{\frak{Hey \ there!}}}}\)

\(\bullet\large\textsf{ To find out the range you have to find the difference between the}\\\large\textsf{maximum and the minimum.}\)

\(\bullet \large\textsf{ Reminder: the word difference in mathematics simply means subtract.}\\\large\textsf{So, if your teacher/anyone asks you what does it mean in math, tell}\\\large\textsf{them it is another word for subtraction.}\)

\(\bullet\large\textsf{ The formula is: \underline{maximum} - \underline{minimum} = \boxed{\bf range}}\)

\(\bullet \large\text{ Whereas, the MAXIMUM IS the GREATER/LARGER NUMBER.}\\\large\text{\& MINIMUM IS the LESS/SMALLER NUMBER.}\)

\(\boxed{\star}\large\textsf{ Okay now lets answer your question }\boxed{\star}\)

\(\square\large\text{\underline{ MAXIMUM}: \boxed{\bf 21}}\)

\(\square\large\text{\underline{ MINIMUM:} \boxed{\bf 15}}\)

\(\huge\textsf{21 - 15 = \boxed{your \ range}}\)

\(\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR ANSWER}\)

\(\huge\textsf{21 - 15}\)

\(\huge\textsf{= 6}\)

\(\boxed{\boxed{\huge\textsf{Answer: range = \bf 6}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\boxed{\huge\text{\boxed{\frak{Amphitrite1040:)}}}}\)

The inequality that represents p, the number of people the theater can seat is p ≤ 25

From the question, we have the following parameters that can be used in our computation:

A movie theater can seat a maximum of 25 people

This means that

Maximum =  25 people

In other words, the movie theatre can allow 25 or less people to attend a movie

In inequality, 25 or less means less than or equal to 25

When represented as an inequality expression, we have

≤ 25

Using the variable p, we have

p ≤ 25

Hence, the inequality is p ≤ 25

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Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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Answer:

1. 3413

2. 4886

3. 114

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean is 400 hours and the standard deviation is 50 hours

This means that \(\mu = 400, \sigma = 50\)

1. Between 350 and 450 hours:

The proportion is the pvlaue of Z when X = 450 subtracted by the pvalue of Z when X = 350.

X = 450:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{450 - 400}{50}\)

\(Z = 1\)

\(Z = 1\) has a pvalue of 0.8413.

X = 350:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{350 - 400}{50}\)

\(Z = -1\)

\(Z = -1\) has a pvalue of 0.1587.

0.8413 - 0.1587 = 0.6826

Out of 5000:

0.6826 out of 5000. So

0.6826*5000 = 3413

3413 are expected to last between 350 hours and 450 hours.

2.more than 300 hours

The proportion is one subtracted by the pvalue of Z when X = 300.

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{300 - 400}{50}\)

\(Z = -2\)

\(Z = -2\) has a pvalue of 0.0228

1 - 0.0228 = 0.9772

Out of 5000:

0.9772of 5000 is

0.9772*5000 = 4886

4886 are expected to last more than 300 hours.

3.less than 300 hours

4886 are expected to last more than 300 hours, so 5000 - 4886 = 114 are expected to last less than 300 hours.

Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No

Answer:

21 and 24

Step-by-step explanation:

21+24=45

Step-by-step explanation:

please mark me as brainlest

The length of the lines GH and CH are 16 units and 12 units.

So, the measure of lines GH and CH:

We know that AC ⊥ GH hence cuts GH in two equal lines.

But,

We can observe that △GCH is an isosceles triangle.

Therefore, the length of the lines GH and CH is 16 units and 12 units.

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Hubble's constant in units of km/s/million LY is approximately 21.47.

what is  approximately ?

Approximately means close to or nearly, but not exactly. It is used to indicate that a value or number is an estimation or approximation, rather than an exact value. It is often used when a precise value is not necessary or when the exact value is unknown or difficult to determine.

In the given question,

To convert Hubble's constant from km/s/Mpc to km/s/million LY, we need to multiply it by a conversion factor that accounts for the difference in distance units. We can use the fact that 1 Mpc is equal to 3.26 million LY:

1 Mpc = 3.26 million LY

Therefore, to convert Hubble's constant from km/s/Mpc to km/s/million LY, we can use the following conversion factor:

1 Mpc / 3.26 million LY

Multiplying Hubble's constant by this conversion factor gives:

H = 70 km/s/Mpc x (1 Mpc / 3.26 million LY) = 21.47 km/s/million LY

Therefore, Hubble's constant in units of km/s/million LY is approximately 21.47.

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Answer:

x = -10

Step-by-step explanation:

Given the linear function, g(x) = -x + 3, and that g(x) = 13:

In this particular problem, it asks for you to find the input value that corresponds to an ouput value of 13.  

Substitute the output value into the function, and solve for the input (x-value):

g(x) = -x + 3

13 = -x + 3

Subtract 3 from both sides:

13 - 3 = -x + 3 - 3

10 = -x

Next, divide both sides by -1 to solve for x:

\(\LARGE\mathsf{\frac{10}{-1}\:=\frac{-1x}{-1} }\)

x = -10

Therefore, the input value that corresponds to g(x) = 13 is x = -10.

Answer:

B

Step-by-step explanation:

Answer:

Distributive Property

Step-by-step explanation:

This is distributive property because you are distributing the 5 by multiplying it by the variables in the parenthesis.

Answer:

100

Step-by-step explanation:

#20 naira - 20 * 100

= 2000kobo

2000/20

100

QED✅✅

you can support by rating brainly it's very much appreciated ✅ ✅

Answer:

y=-2x+5

Step-by-step explanation:

Use the equation y=mx+b

We can find the b(y-intercept) by looking at the graph

The graph crosses the y-axis at (0,5)

We can look at the slope at the graph. We can see its down 4 over 2 so the slope is -2.

Plug that into the equation y=mx+b

y=-2x+5

From the table, the value of y is 6 times grater than the value of x.

Take x=4 and y=24,

Take x=7 and y=42.

Take x=8 and y=48.

From the above expressions,

Thus the correct option is y=6x.

1. Revised Net Operating Income = $66,760

2. Revised Net Operating Income  =$64,640

3. Revised Net Operating Income  =$52,

1. If the sales volume increases by 40 units:

So, New Sales = 8,700 units + 40 units = 8,740 units

and, New Contribution Margin =

= $14.00 x 8,740 units

= 122, 360

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 122360 - 55600

= 66,760.

2. If the sales volume decreases by 40 units:

New Sales = 8,700 units - 40 units = 8,660 units

New Contribution Margin

= 14 x 8660

= 121,240

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 65,640

3. If the sales volume is 7,700 units:

New Sales = 7,700 units

New Contribution Margin

= 14 x 7700

= 107,800

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 52, 200

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Answer:

Answer:

\(y =\frac{x}{4}\)

Step-by-step explanation:

We are given several functions, and we want to figure out which one is linear.

A linear function has both of its variables (x and y) with a power of 1. Variables with other powers do not mean that the function is linear.

Let's go through the list.

Starting with \(y=\frac{3}{x} -7\), we can see that x is in the denominator. If this is the case, it means that the power of x is -1.

Even though y has a power of 1, this is NOT linear, because x has a power of -1.

Now, with y=√x-2, this is also not linear. This is because √x = \(x^\frac{1}{2}\), even though y has a power of 1.

For x² - 1 = y, we can clearly see that x has a power of 2, while y has a power of 1. This means that the function is not linear.

This leaves us with \(y = \frac{x}{4}\). x is in a fraction, however it is not in the denominator. This means that the power of x in this function is 1. We can also see that the power of y in this function is 1.

This means that \(y=\frac{x}{4}\) is linear.

Answer:

  C:  y = -(x +3)² -1

Step-by-step explanation:

You want the vertex-form equation of the parabola with vertex (-3, -1) and opening downward.

For vertex (h, k), the vertex form equation of a parabola is ...

  y = a(x -h)² +k

Given that (h, k) = (-3, -1), the equation will have the form ...

  y = a(x -(-3))² + (-1)

  y = a(x +3)² -1 . . . . . . . . . . matches choice C

The value of 'a' will be negative when the parabola opens downward. Here, its value is -1.

  y = -(x +3)² -1

__

Additional comment

Once you identify the left-shift of 3 units as resulting in an equation with (x +3)² as a component, you can make the appropriate answer choice without considering anything else. Of course, the fact that the curve opens downward immediately eliminates choices A and B.

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Answer:

Step-by-step explanation:

What are the other colors?

if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2

similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....

depends on how many colors are there

Answer:

Step-by-step explanation:

exact form: x=63/5

Answer:

2(x+1) =2x+2

3(2x-5)=6x-15

4(2x-1)= 8x-4

-6(2x-3)= -12x+18

Step-by-step explanations

all you need to do is multiply it.

Answer: …

Step-by-step explanation:

a-a

b-d

c-b

d-c

The value of inverse trigonometric function  θ = sin-1(-.5) is 30°

What is an inverse trigonometric function?

The inverse trigonometric functions perform the opposite operation of the trigonometric functions such as sine, cosine, tangent, cosecant, secant, and cotangent. We know that trigonometric functions are especially applicable to the right angle triangle.

Here, the given inverse trigonometric function is  θ = sin⁻¹(0.5)  

Now solving the given inverse trigonometric function by consider 0.5 value in terms of sine that is :

0.5 = sine (30°)

Now, substituting back this value in place of 0.5 and solve for θ :

θ = sin⁻¹(0.5)  

θ = sin⁻¹(sin(30°))  

Now the inverse of sinθ is θ itself

θ = 30°

Therefore, The value of inverse trigonometric function  θ = sin-1(-.5) is 30°.

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