solve. The scale of the drawing shows a two-bedroom apartment. The master bedroom is 9 ft x 12 ft. Use an inch ruler to measure the drawing. a. The scale is ...b. Write the actual dimensions for each room alongside the scale drawing. I'll upload the drawing picture.

Answer:

-20x

Step-by-step explanation:

remove parentheses: -4*5x

multiply the numbers: -4*5x

answer: -20x

Answer:

70

Step-by-step explanation:because they are all the same angles

Answer:

3

Step-by-step explanation:

I'm guessing infinitely many because the lines have no stopping point. Ultimately they would continue on and on.

Answer:

It would be 750

Step-by-step explanation: You have to divide it by 5 and then times it by 3.

Step-by-step explanation:

once we know what the domain and the range of a function is, this is very simple.

the domain is the interval or set of all valid x (input) values.

the game is the interval or set of all valid y (function result) values.

so, what are all the valid x values ? that means for how many months of collection can we use this function to see how many figurines he has ?

well, we can stay with 0 (what he currently has) and go up to 5 (because after 5 months he does not want to continue this behavior).

so, the domain is

0 <= x <= 5 if we allow also fractions of months as input (if this makes sense)

or

x € {0, 1, 2, 3, 4, 5} if we allow only whole numbers.

and the range ? what are the possible result values of the function ?

for x = 0 it starts with y (or f(x)) = 100.

x = 1 gives us 100 + 3×1 = 103

x = 2 gives us 100 + 3×2 = 106

x = 3, 100 + 3×3 = 109

x = 4, 100 + 3×4 = 112

x = 5, 100 + 3×5 = 115

so, the range is

100 <= y <= 115 if we allow fractions of months

or

y = f(x) € {100, 103, 106, 109, 112, 115} if we allow only whole months as values of x.

Hey there ..

In ∆PRS and ∆RPQ ,

PS=QR (given)

angle PRS =angle QPR (90°)

PR=PR (common)

therefore, ∆PRS congruent to ∆RPQ. (by RHS congruence )

Hope it helps ..and plz mark me as brainliest if u found it helpful

Answer:

A, 10^2

Step-by-step explanation:

When dividing by exponents, you subtract 1st exponent by the second exponent

|

|

v

(10^6)/10^4=10^(6-4)=10^2

Answer:

\(\huge\boxed{\sf{Und.efined}}\)

Step-by-step explanation:

Hello.

There are 2 ways to solve this problem.

One of them is to use the slope formula.

The other one is to simply look at the x-coordinates and see that they are the same.

This means the slope is undefined.

I hope it helps.

Have a great day.

\(\boxed{imperturbability}\)

Answer:

infinite

Step-by-step explanation:

\(\mathsf{slope=\dfrac{change \ in \ y}{change \ in \ x}}\)

\(\implies \mathsf{slope=\dfrac{0-3}{-4--4}=-\dfrac30}\)

Therefore the slope is infinite

Answer:

(7x + 5y) (7x - 5y)

Answer: n = 0 and -2

Step-by-step explanation:

Equate the expressions to zero

n(n+2) = 0

n = 0 and n+2 = 0

n = 0 and n = -2

Answer:

Step-by-step explanation:

The experimental probability of the cube landing on three is 1/10.

The both vectors' components are independent of each other, and they do not interfere with each other.

1. A nonzero vector that has a component of zero is a vector with one of its component set to zero. An example of such a vector is a two-dimensional vector (x,0). For instance, a vector of (5,0) has a component of zero in the y-axis.

2. A vector cannot have a component greater than its own magnitude because the magnitude is the total length of the vector, which represents its total strength. The components of the vector are directional pieces that define the vector. Thus, if the component is more significant than the total length, it means the vector's direction has been multiplied in that component, and the vector's magnitude cannot handle the force. Therefore, the component cannot be more significant than the vector's magnitude.

3. If the vectors A and B are perpendicular, the component of A along the direction of B is zero, and the component of B along the direction of A is zero. When two vectors are perpendicular, it means they meet at a 90-degree angle, and their dot product is zero, implying that the product of the magnitude of one vector and the magnitude of the other vector multiplied by the cosine of the angle between them is zero. Therefore, both vectors' components are independent of each other, and they do not interfere with each other.

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To find the expected value of your wait time, we need to multiply the value of each possible outcome by its probability and then add up all the products. In this case, there are two possible outcomes: waiting 3 minutes or waiting 7 minutes.

The probability of waiting 3 minutes is 1/2, and the probability of waiting 7 minutes is also 1/2. Therefore, the expected value of your wait time is:

(3 minutes * 1/2) + (7 minutes * 1/2) = 5 minutes

So, on average, you can expect to wait about 5 minutes for the train.

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Answer:

55.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

276.2÷5=55.24≈55.2

The solution after divide by 8/5 instead of 4/5 will be 2.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Or, A number which is expressed as a quotient is called fraction.

It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The model shows that 3 1/5 divided by 4/5 = 4.

Now,

Substitute 8/5 instead of 4/5, we get;

⇒ 3 1/5 ÷ 8/5

⇒ 16/5 ÷ 8/5

⇒ 16/5 × 5/8

⇒ 2

Thus, The solution after divide by 8/5 instead of 4/5 will be 2.

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Answer:

Step-by-step explanation:

The rate of the river current is 5 mph.
Let x represent the rate of the river current. When Kellen travels upstream, she goes against the current, so her effective speed will be (15 - x) mph. When she travels downstream, she goes with the current, so her effective speed will be (15 + x) mph.

We're given that the time it takes to travel 2 miles upstream is the same as the time it takes to travel 4 miles downstream. We can express time as distance divided by speed.

So, we have the equation:

(2 mi) / (15 - x) = (4 mi) / (15 + x)

Now, we need to solve for x:

Cross-multiply:

2(15 + x) = 4(15 - x)

Distribute:

30 + 2x = 60 - 4x

Add 4x to both sides:

6x = 30

Divide by 6:

x = 5

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All of the following statements are true:

a. Effective listening is vital to success in selling.

b. visual aids play a part in the listening process.

c. people can talk approximately twice as fast as they can listen.

d. you should listen closely to everything you hear.

e. listening refers to the process of trying to detect sounds.

Listening is the act of paying attention to sounds that are happening around you. It involves both hearing the sounds and interpreting what they mean. Good listening skills are important for many reasons, including being able to communicate effectively with others and understand instructions. To listen effectively, you need to be able to focus on the speaker and try to understand their perspective, rather than just waiting for your turn to talk.

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The process of describing the steps necessary for finding a solution to a problem in programming is commonly referred to as algorithm design.

Algorithm design is an essential aspect of programming, as it allows programmers to devise a systematic approach to problem-solving. When faced with a programming problem, the first step is to analyze and understand the problem requirements thoroughly.

Once the problem is understood, the next step is to design an algorithm that outlines the sequence of steps needed to solve the problem.

In algorithm design, programmers typically consider factors such as efficiency, correctness, and maintainability. They aim to devise algorithms that produce accurate results, optimize resource usage, and are easy to understand and maintain.

The process involves selecting appropriate data structures, determining control flow, and defining the specific operations or computations required at each step.

By describing the steps in an algorithm, programmers can effectively communicate their approach to solving a problem and provide a roadmap for implementing the solution in code.

Well-designed algorithms help streamline the programming process, improve code quality, and facilitate the development of reliable and efficient software systems.

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Answer:

cc

Step-by-step explanation:

Answer:

.06

Step-by-step explanation:

add all the 4 values listed, plus the .06

divide by 5

you get -.01

:)

The variance of a probability distribution is:

where p is the probability and mu is the mean of the ditribution.

Before we begin we need to find the mean of the distribution, using:

Then the mean is:

hence the mean is 2.52.

Now we can calculate the variance:

Therefore, the answer is C.

We can conclude that the special tutoring session seems to have had a positive impact on the students' performance, as their mean score increased from below 60% to 70%.

We can conclude that the special tutoring session has been effective since the students' mean score increased from 60 percent to 70 percent on the second test.

The students who scored less than 60 percent on the first test were given a special tutoring session, which resulted in their mean score increasing to 70 percent on the second test.

Therefore, we can conclude that the special tutoring session has been effective in improving the students' performance on the second test.

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Answer:

Compound interest

Step-by-step explanation:

The question requires us to determine if the interest earned is a simple or compound interest

Simple interest = amount deposited x time x interest rate

Future value with compounding = A( 1 + r)^n

A = amount deposited

r = interest rate

n = time

We would calculate the simple interest and the future value in year 2

Simple interest in year 2 = $3500 x 0.0375 x 2 = 262.50

Future value in 2 years with a simple interest = 262.50 + 3500 = $3762.50

Future value in year 2 with compounding = 3500 x (1.0375)^2 = $3767.42

The value provided in year 2 with compounding matches that provided in the question. Thus, it is compounding of interest that is done

Answer:

17

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:

Step-by-step explanation:

A point in geometry is a location. It has no size i.e. no width, no length and no depth. A point is shown by a dot. A line is defined as a line of points that extends infinitely in two directions. ... A plane extends infinitely in two dimensions

The name of every month ends in the letter y is the given statement. February is a counterexample to this statement. This is because February does not end with the letter 'y'. So the right  option is (c) February.

What is a counterexample?

In mathematics, a counterexample is an example that opposes or disproves a statement, proposition, or theorem. It is a scenario, an instance, or an example that goes against the given statement.

Therefore, a counterexample demonstrates that the given statement is false or invalid.In this case, the statement is: "The name of every month ends in the letter y." We have to find which of the months listed does not end in "y."February is the only month in the options listed that does not end in the letter "y."

Thus, it is a counterexample to the given statement. Therefore, the correct option is C, February.

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Answer: 20.5

Step-by-step explanation:

There are no sign changes in the first column of the Routh array, therefore the system is stable.

Given: Characteristic equation for system `(a)`: 12s⁵ + 4s⁴ + 6s³ + 2s² + 6s + 4 = 0

Characteristic equation for system `(b)`: 12s⁵ + 8s⁴ + 18s³ + 12s² + 9s + 6 = 0

To determine the stability of the systems with the given characteristic equations, we need to find out the roots of the given polynomial equations and check their stability using Routh-Hurwitz criteria.

To find out the stability of the system with given characteristic equation, we have to check the conditions of Routh-Hurwitz criteria.

Let's discuss these conditions:1. For the system to be stable, the coefficient of the first column of the Routh array must be greater than 0.2.

The number of sign changes in the first column of the Routh array represents the number of roots of the characteristic equation in the right-half of the s-plane.

This should be equal to zero for the system to be stable.

There should be no row in the Routh array which has all elements as zero.

If any such row exists, then the system is either unstable or marginally stable.

(a) Let's calculate Routh-Hurwitz array for the polynomial `12s⁵ + 4s⁴ + 6s³ + 2s² + 6s + 4 = 0`0: 12 6 42: 4 2.66733: 5.6667 2.22224: 2.2963.5 0.48149

Since, there are 2 sign changes in the first column of the Routh array, therefore the system is unstable.

(b) Let's calculate Routh-Hurwitz array for the polynomial `12s⁵ + 8s⁴ + 18s³ + 12s² + 9s + 6 = 0`0: 12 18 62: 8 12 03: 5.3333 0 04: 2 0 05: 6 0 0

Since there are no sign changes in the first column of the Routh array, therefore the system is stable.

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