The cost of a computer in is RS 70,502.
what is the cost of such 14 computer.​

The total cost of the carpet is $684.6

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

Dimension of carpet = 7 meters by 12 meters

Also, we have

Cost per unit square = $8.15

The total amount spent is calculated as

Amount = Cost per unit square * Product of dimensions

Substitute the known values in the above equation, so, we have the following representation

Amount = 8.15 * 7 * 12

Evalyate

Amount = 684.6

HEnce, the total is $684.6

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Answer and Step-by-step explanation:

Area of triangle:

A = \(\frac{bh}{2}\) (Base times height, all divided by 2)

Area of Rectangle/Square

A = bh (base times height)

Triangle:

\(\frac{7*24}{2} = \frac{168}{2} = 84\)

Rectangle:

A = 12.5 * 13 = 162.5

162.5 + 84 = 246.5

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Answer:

v=20π ft/s

Step-by-step explanation:

Given:

Distance from the security car to the movie theater, D=25 ft

Distance of the reflection from the car, d=30 ft

Speed of rotation of the strobe lights, 2 rev/s

To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.

We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.

ω=2πf

=> ω=2π(2)

=> ω=4π rad/s

The distance between the security car and the reflection on the wall of the theater is...

r=30-25= 5 ft

The speed of reflection is given as (this is the linear velocity)...

v=ωr

Plug our know values into the equation.

v=ωr

=> v=(4π)(5)

∴ v=20π ft/s

Thus, the problem is solved.

The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.

To solve this problem, we can use the concept of related rates. Let's consider the following variables:

x: Distance between the security car and the movie theater wall

y: Distance between the reflection of the security strobe lights and the security car

θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights

We are given:

x = 25 ft (constant)

y = 30 ft (changing)

θ = 2 revolutions per second (constant)

We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.

Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:

x^2 + y^2 = z^2

Differentiating both sides of the equation with respect to time (t), we get:

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.

Plugging in the known values, we have:

2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)

Simplifying the equation, we find:

60(dy/dt) = 120π

Dividing both sides by 60, we get:

dy/dt = 2π ft/s

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The real-world problem involving a related set of two equations is given below:

Problem: Cost of attending a concert  is made up of base price and variable price per ticket. You are planning to attend a concert with your friends and want to know the number of tickets to purchase for lowest overall cost.

The related set of two equations are:

Equation 1: The total cost (C) of attending the concert is given by:

The equation C = B + P x N,

where:

B  = the base price

P  = the price per ticket,

N = the number of tickets purchased.

Equation 2: The maximum budget (M) a person have for attending the concert is:

The  equation M = B + P*X

where:

X = the maximum number of tickets a person can afford.

So by using the values of B, P, and M, you can be able to find the optimal value of N that minimizes the cost C while staying within your own budget M. so, you can now determine ticket amount to minimize costs and stay within budget.

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The answer is:

Whether you add or subtract the equations, you get the same resulting equation in one variable.

Answer:

Step-by-step explanation:

Because 3x10=30 and 31 is greater than 30 by 1 more.

It's not. 3 times 10 is 30.

30<31

Answer:

24

Step-by-step explanation:

Add 6 to itself 4 times.

Answer:

$46.15

Step-by-step explanation:

$46.15 because 125% of $36.92 is $46.15

Hope this helps!

The area of the rug, represented by the quadratic expression, x² - 16·x + 64, indicates;

a. The factored expression is; x² - 16·x + 64 = (x - 8)·(x - 8)

b. The factors (x - 8) and (x - 8) in the factored expression represent the length and the width of the rug.

A quadratic expression is an expression of the form; a·x² - 16·x + 64, where a ≠ 0, and a, b, and c are numbers.

The possible expression for the area of the rug is the quadratic expression; (x² - 16·x + 64)

The length of the rug = The width of the rug

a. The factor of the expression in the question, (x² - 16·x + 64), can be obtained by finding the numbers that have a product of 64 and a sum of -16

The possible number is therefore; 8

-8 × -8 = 64

-8 - 8 = -16

Therefore, we get; (x - 8) × (x - 8) = (x² - 16·x + 64)

The factored expression is therefore; (x² - 16·x + 64) = (x - 8) × (x - 8)

b. The measure of the factors are the same; (x - 8) = (x - 8)

Whereby; x² - 16·x + 64 represents the area of the carpet and the lengths and the width of the of carpet are the same, therefore;

The length of the carpet = (x - 8)

The width of the carpet = (x - 8)

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The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

In the Social Exchange Theory of interpersonal relationship satisfaction, you would feel happiest in relationships when you feel that the rewards of the relationship equal or exceed its costs.

The Social Exchange Theory states that people evaluate their relationships in economic terms, with rewards being the benefits of the relationship and costs being the negatives. Rewards can include affection, attention, emotional support, sex, and companionship. Costs can include time, effort, money, and negative emotions such as stress, anxiety, and sadness.

According to the theory, individuals will be motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

The opposite is also true; if individuals feel that the costs of the relationship are greater than the rewards, they will be motivated to leave the relationship.

Therefore, people are constantly evaluating their relationships to determine whether they are getting what they need from the relationship and whether it is worth continuing.

The Social Exchange Theory of interpersonal relationship satisfaction suggests that individuals are motivated to stay in a relationship as long as they feel that the rewards of the relationship are greater than the costs.

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The conjugate base of the weak acid hc2h3o2 (acetic acid) can be determined by removing a proton (H+) from the acid molecule. The formula for the conjugate base is C2H3O2- (acetate ion).

The formula for acetic acid (hc2h3o2) suggests that it consists of the elements hydrogen (H), carbon (C), and oxygen (O). To determine the formula of its conjugate base, we remove a proton (H+) from the acid molecule. Removing a proton results in the formation of an anion, which has a negative charge to maintain overall charge neutrality.

The removal of a proton from hc2h3o2 leads to the formation of the acetate ion, which has a formula of C2H3O2-. The C2H3O2- ion is referred to as the conjugate base of acetic acid.

In summary, the formula for the conjugate base of the weak acid hc2h3o2 (acetic acid) is C2H3O2- (acetate ion).

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Answer: √ 52

Step-by-step explanation:

The data shows mean concentrations (mg/l) of pollutants in rainwater leaving either green or conventional roofs. Correct Option is: (D)The Total Volume of Rainfall is needed to calculate the total amount of a pollutant leaving the roof during and following a rainstorm.

Volume:

Precipitation intensity is the water depth (mm) recorded during a shower divided by the duration of the shower (hours).

Expresses water depth per hour in millimeters (mm/hour).

\(rainfall intensity = total amount of rainwater(mm)/ duration of the rainfall (hours)\)

A volume is a measure of three-dimensional space. Often quantified numerically using SI units (such as cubic meters and liters) or using various imperial or US customary units (such as gallons, quarts, and cubic inches). The definition of length (cube) relates to volume. Container volume is generally understood to mean the capacity of the container. That is, the amount of liquid (gas or liquid) that the container can hold, not the amount of space that the container itself moves.

In ancient times, volume was measured using similarly shaped natural vessels and later standardized vessels. The volume of some simple 3D shapes can be easily calculated using arithmetic formulas. The volume of more complex shapes can be calculated using integral calculations if there is an equation that constrains the shape. Zero, one, and two dimensional objects have no volume. In four dimensions and above, a concept analogous to ordinary volumes is a hypervolume.

Volume of Rainfall:

The Average Rainfall = Depth x Radius x Radius x 3.14. The area at the top of the bucket (this is the area where rain is collected). Dividing the precipitation by this area will give you the precipitation.

Complete Question:

The data in the table show mean concentrations (mg/L)(mg/L) of pollutants in rainwater leaving either green or conventional roofs. Which of the following data would be needed to calculate the total amount of a pollutant leaving the roof during and following a rainstorm?

A) Distance from street level to roof

B) Duration of the rain event

C) Total number of plants on the roof

D) Total volume of rainfall

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Answer:

16000=140x

It will take 90 minutes to hit 12,600 ft above ground.

Step-by-step explanation:

Just swap out 16000 for 12600. Then solve from there.

Hope it helped!

The correct order of match is 1-a, 2-b, 3-d and 4-c.

The term "conic" refers to a curve formed by the intersection of a right circular cone with a plane. In Euclidean geometry, it has distinctive features. The cone is split into two nappes, the upper nappe and the lower nappe, at its vertex.

A plane crosses the cone, and the resulting section is referred to as a conic section.

Given the equations,

the equation for parabola is given by

(y - b)² = 4p(x - a)

Vertex is (a,b)

equation 2 follows the same

x = -2(y - 4)² + 3

this is the equation for parabola.

Equation for ellipse is

(x − a)²/h² + (y − b)²/k² = 1

the equation x²/4 + (y - 8)²/144 = 1

(x/2)² + ((y - 8)/12)² = 1

the equation is same is equation for ellipse,

Equation for circle

(x - h)² + (y - k)² = r²

fourth equation

(x - 9)² + (y + 2)² = 7²

is same as equation of circle

Equation for hyperbola

(x − a)²/h² − (y − b)²/k²  = 1

equation (x - 3)²/5 - (y + 4)²/25 = 1

is same as equation of hyperbola.

Hence the correct order is a, b, d, and c.

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Answer:

(3,4)

Step-by-step explanation:

Answer:

4,3

Step-by-step explanation:

Answer:

8 miles per hour

Step-by-step explanation:

24 divided by 3 equals 8 miles per hour

Answer: 8 miles

Step-by-step explanation:

24/3=8, so the unit rate is 8 miles an hour, which means he ran 8 miles in 1 hour.

The X and Y intercepts of the following equations are:

(a) Y = 3X - 1 : intercepts are [ 1/3 , -1 ]

(b) Y = X - 2 : intercepts are [ 2 , -2 ]

To find the x-intercept we put y = 0 and solve the equation for x. This is because when y = 0 the line crosses the x - axis. To find y-intercept: put      x = 0 and solve for y. See the attached figure for understanding the intercepts.

For example: Find the X and Y intercepts of the equation: X - Y = 5.

for X intercept put Y = 0, we get X = 5

for Y intercept put X = 0, we get Y = -5

Here, we have (a) equation Y = 3X - 1

For X intercept put Y = 0, we get X = 1/3

For Y intercept put X = 0, we get Y = -1

so, the X and Y intercepts of the equation Y = 3X - 1 are [ 1/3, -1 ]

now, we have (b) equation Y = X - 2

For X intercept put Y = 0, we get X = 2

For Y intercept put X = 0, we get Y = -2

so, the X and Y intercepts of the equation Y = X - 2  are [ 2 , -2 ]

Hence, The X and Y intercepts of the following equations are:

(a) Y = 3X - 1 : intercepts are [ 1/3 , -1 ]

(b) Y = X - 2 : intercepts are [ 2 , -2 ]

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Disclaimer: The question given was incomplete on the portal. Here is the complete question.

Question: Find the X and Y intercept of the following equation:

(a) Y = 3X - 1

(b) Y = X - 2

Answer:

\(\frac{3}{x}\)

Step-by-step explanation:

\(\frac{4^{x+2} - 4^{x} }{5x(2^{2x} } = \frac{4^{2} . 4^{x} - 4^{x} }{4^{x} . 5x }\)\(= \frac{4^{x} (4^{2} -1) }{4^{x} . 5x } = \frac{16 - 1}{5x}\)\(=\frac{15}{5x} = \frac{3}{x}\)

Answer: The appropriate hypotheses for this significance test are:

Null hypothesis (H0): The true mean travel time for all students who attend this school is equal to 20 minutes.

Alternative hypothesis (Ha): The true mean travel time for all students who attend this school is greater than 20 minutes.

The null hypothesis states that there is no difference between the claim (20 minutes) and the sample mean (22.4 minutes). The alternative hypothesis states that there is a difference and the sample mean is greater than the claim. The student will use the sample data and a chosen significance level (such as α = 0.05) to decide whether to reject or fail to reject the null hypothesis.

Step-by-step explanation:

Answer:

\(x=3\)

Step-by-step explanation:

Because this line is parallel to the y-axis, it is a vertical line. This is a special case where the formatting of its equation is different:

\(x=d\) where d is the x-intercept, or the value of x when the line crosses the x-axis

We're given that the line passes through the point (3,-5). Because this is a vertical line, the x-coordinates of the points it passes through will always stay the same. Therefore, the x-intercept (d) is 3.

\(x=3\)

I hope this helps!

Answer:

The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite: in this case to 3. Then find the reciprocal by switching the denominator and numerator to get 1/3; therefore the slope of the perpendicular line is 1/3.

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Answer:

119+31=150

180-150=30

ans=30

The following statements are true regarding the margin of error: Being more confident (increasing confidence level) will yield a larger margin of error and selecting a larger SRS from the population will yield a smaller margin of error.

A margin of error (MOE) is the degree of inaccuracy in estimating a population's true proportion or mean by analyzing a sample dataset. It represents the uncertainty or confidence level of a poll's findings. It is a critical element in political polls, scientific studies, and marketing research. The accuracy of the findings is expressed in the margin of error, which is given as a percentage. The standard deviation of the sampling distribution, not the standard deviation of the population, determines the margin of error. As a result, selecting a larger sample size, the standard deviation decreases, and the margin of error decreases. Therefore, selecting a larger SRS from the population will yield a smaller margin of error. Confidence intervals are used to determine the margin of error, and increasing the confidence level will result in a larger margin of error. As a result, being more confident (increasing confidence level) will yield a larger margin of error.

Thus, the correct options are (B) and (D). Option (A) is incorrect because a large confidence level requires a large value of 2*. Option (C) is incorrect because the margin of error is influenced by the standard deviation of the sampling distribution.

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The probability is 6.

Probability is the possibility of an event occurring. We can scale the probability of an event between 0 and 1. 0 refers to an improbable event, and one refers to an event with the highest possibility. The type of probability we will use to solve this problem is the geometric distribution.

The geometric distribution is defined as a discrete probability distribution representing the probability of consecutive failures before success in a Bernoulli trial. There could be only two possible outcomes; either True (1) or False (0).

Bernoulli's trial is an experiment in which we have only two possible outcomes, success or failure. In other words, the geometric distribution repeats Bernoulli trials until it succeeds, then stops. So, achieving success is the ultimate goal and is the point that stops Bernoulli's trials from happening further.

Geometric distribution, the class of probability distributions, is based on three key assumptions, and these assumptions are defined as:

Now for our given problem, we stand on a street corner and record the gender of the first twelve people who pass by. The condition here is the city is half male and half female. Now to find the probability, we will consider the possibility of each of the twelve events. Since half of the population is Female, the probability of one single event is;

p = 1/2 (50 %)

The overall probability is the sum of all the individual probabilities:

P ( ALL FEMALE)

= 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2

= 6

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Answer:

The sum is negative because the number with the greatest value is negative.

Step-by-step explanation:

If the it's the same sign add, if not subtract.

8-3=5

keep the sign of the bigger number.

-5

Hope It Helps

Sorry If I'm Wrong

Answer: Yes

Step-by-step explanation:

The answer is negative. That is because you are adding three to negative 8.

Think about it. 8 is greater than three, right?

-8 + 3 = -5

You are bringing -8 closer to 0:

-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5...

Bring -8 three spaces closer to 0. You get -5.

Hope this helps.

Answer:

>

Step-by-step explanation:

let me know if it's wrong