1. What are the dimensions of the rectangle below if the perimeter is 62
inches? *
2-1
3r+1
17in by 13in
17.25in by 13.75in
17.5in 13.5in
17.75in by 13.25in

Answer:

B

Step-by-step explanation:

The contracted phone plan will have the same steepness and a higher y-intercept.

Answer:

B

Step-by-step explanation:

Answer:

I zont know i need points

Step-by-step explanation:

Yea im srry

Answer:

11

Step-by-step explanation:

all you gotta do is subtract q3 from q1, in this case it's 15-4=11

Answer:

x = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

72 = 5x + 22

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 72 does indeed equal 72.

∴ x = 10 is the solution to the equation.

A number is written in scientific notation when the first factor is greater than or equal to 1 and less than 10.

In Mathematics, scientific notation is sometimes referred to as scientific form or standard index form and it can be defined as a technique which is typically used for expressing numbers that are either too small or too large to be written conveniently in decimal form.

Factors can be defined as the fundamental building blocks of a number. This ultimately implies that, factors refers to numbers which can be multiplied together to get another number.

As a general rule, you can only write a number in scientific notation when the first factor is written with one number before the decimal point i.e it is greater than or equal to (≥) 1 and less than (<) 10.

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Answer:

Step-by-step explanation:

sqrt(121) + sqrt(-75) - sqrt(81) - sqrt(-192) = 2 - 5.19615242i

Answer:

The answer is D

Answer:

420km^3

Step-by-step explanation:

10×7×6=420km^3

Spherical harmonics are an integral part of quantum mechanics. They describe the shape of the orbitals, which electrons occupy in atoms. Moreover, the spherical harmonics provide the angular distribution of a wave in spherical coordinates. In 3D, the spherical harmonics can be written as:

Ylm(θ, φ) = √(2l + 1)/(4π) * √[(l - m)!/(l + m)!] * Plm(cosθ) * e^(imφ)

Here, l and m are known as the angular quantum numbers. They define the shape and orientation of the orbital. Plm(cosθ) represents the associated Legendre polynomial, and e^(imφ) is the exponential function. The spherical harmonics have various forms, including:

Y1,1 = -Y1,-1 = 1/2 √(3/2π) sinθe^(iφ)

Y1,0 = 1/2 √(3/π)cosθ

Y2,2 = 1/4 √(15/2π)sin²θe^(2iφ)

Y2,1 = -Y2,-1 = 1/2 √(15/2π)sinθcosφ

Y2,0 = 1/4 √(5/π)(3cos²θ-1)

Y0,0 = 1/√(4π)

The spherical harmonics have various applications in physics, including quantum mechanics, electrodynamics, and acoustics. They play a crucial role in understanding the symmetry of various systems. Hence, the spherical harmonics are an essential mathematical tool in modern physics. Thus, this is how one can show another form for spherical harmonics.

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Answer:

In simple terms, it basically means to select the important parts of the data and take note of them. It's a very helpful technique.

On the cherry - picking mean in the context of data analytics is confirmation bias. The correct option is (B)

Cherry picking is the selective use of evidence to support a claim while ignoring other data that is more likely to challenge that claim.

here, we have,

It's not always done with malicious purpose, but this behavior is extremely widespread. Probably even you have cherry-picked.

now, we know that,

cherry picking looks  like as:  

For instance, someone who cherry picks may only mention a few studies out of the many that have been published on a certain topic in an effort to make it appear as though the scientific consensus supports their position.

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The attached diagram represents the tree diagram for three consecutive mornings.

The probability of arriving on time is given as:

P(On Time) = 65%

Assume that the bus would definitely show up.

Then it means that the event is a binomial event and the possible outcomes are:

On Time and Late

The above means that the number of possible outcomes is 2.

For three consecutive mornings, the total outcome is:

Total = 2³

Evaluate

Total = 8

This means that the tree diagram would have 8 outcomes

Next, we draw the tree diagram (see attachment)

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Answer:

D. y= 2/3x-2

Step-by-step explanation:

y=6-2x/-3

-2+2/3x

2/3x-2=y

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly can be calculated as follows:

Given, Principal = Rs 1200Time = 1.5 yearsInterest rate = 40% per annum, compounded quarterly

Let r be the quarterly rate of interest. Then we can convert the annual interest rate to quarterly interest rate using the following formula: \text{Annual interest rate} = (1 + \text{Quarterly rate})^4 - 1$$

Substituting the values, we get:0.40 = (1 + r)^4 - 1 Solving for r, we get:r = 0.095 or 9.5% per quarter

Now, we can use the formula for the amount of money after time t, compounded quarterly: $A = P \left( 1 + \frac{r}{4} \right)^{4t}

Substituting the values, we get:A = Rs 1200 x $\left(1 + \frac{0.095}{4} \right)^{4 \times 1.5}= Rs 1893.09

Therefore, the amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

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There is no question context so it is not sufficient for an answer, however I am assuming its asking for you based on the images to pair the charts to graph.

First lets find the slope of (20,-1) (21,-1.5)

\(Slope = \frac{y2-y1}{x2-x1}\)

-1+1.5
20-21

The slope for that chart is 0.5/-1 which is -0.5 or -1/2. This makes that chart paired with the following graph:

The car did not travel at a constant speed during the entire trip. Option d is the correct choice.

Option d is the correct answer. The graph shows that the car's velocity is not constant during the trip, indicating that the car did not travel at a constant speed. The car changes its velocity multiple times, which means it either speeds up, slows down or changes direction. Therefore, the car did not travel at a constant speed during the entire trip.

Option a is incorrect because the graph doesn't provide any information about the total time of the trip. Option b is incorrect because the graph clearly shows that the car slows down multiple times during the trip. Option c is also incorrect because the graph doesn't indicate that the car returned to its starting point.

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--The complete question is, The driver of a car completes a trip. the graph displays data about the car's motion during the trip. which of the following statements about the car's motion is true?

a. the total time for the car trip was 50 minutes.

b. the car did not slow down during the trip.

c. the car returned to where it had started the trip at the end of the trip.

d. the car did not travel at a constant speed during the entire trip.--

The given set operation is the intersection (∩) of two sets: {1,2,3,4,5} and {2,3,4,5,6,10}. To find the intersection of two sets, we need to identify the common elements between them. In this case, the common elements between the two sets are {2,3,4,5}.

The intersection (∩) of two sets is the set that contains all the elements that are common to both sets. In this case, the sets {1,2,3,4,5} and {2,3,4,5,6,10} have four common elements, which are {2,3,4,5}. To perform the given set operation, we list the common elements as a comma-separated list: {2,3,4,5}.

In this case, the sets {1,2,3,4,5} and {2,3,4,5,6,10} have four common elements, which are {2,3,4,5}. To perform the given set operation, we list the common elements as a comma-separated list: {2,3,4,5}.  To find the intersection of two sets, we need to identify the common elements between them. In this case, the common elements between the two sets are {2,3,4,5}. Therefore, the intersection of the sets {1,2,3,4,5} and {2,3,4,5,6,10} is {2,3,4,5}.

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Answer: (-2, 1)

Step-by-step explanation:

       We will graph the given equations. The point of intersection is the solution to the system of equations. See attached.

       They intersect at the point (-2, 1) giving us an answer of x = -2 and y = 1, but this question asks for the answer as an ordered pair so we leave it as is.

Answer:

10,000

Step-by-step explanation:

So 9 is the thousands place.

To round you just gotta see if 5 or up or 4 or down.

so it’s 5 or up so we add 1

so 10,000

Answer: not sure

Step-by-step explanation:

The proportion of the team that work part time is 2/13 or 0.154

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the equation will be

Let the total number of workers in the furniture store be = 13 employees

Let the number of workers who are part time = 2 workers

So , proportion of the team that work part time = number of workers who are part time / total number of workers in the furniture store

On simplifying , we get

The proportion of the team that work part time = 2 / 13

The proportion of the team that work part time = 0.154

Hence , the proportion is 2/13 or 0.154

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Step-by-step explanation:

I answered this already.

Answer:

The triangle is obtuse.

Step-by-step explanation:

If a² + b² < c² , the triangle is obtuse.

If a² + b² = c² , the triangle is right triangle.

If a² + b² > c² , the triangle is acute.

~~~~~~~~~~~~~~~~

3, 12, 13

3² + 12² < 13²

9 + 144 < 169

153 < 169 ⇒ the triangle is obtuse.

Answer:

the answer is E

Step-by-step explanation:

We want to find how many integers are between 2020 and 2400 such that a criteria is meet, and the criteria is that the four digits are different and are arranged in increasing order.

We will see that there are 15 of these numbers between 2020 and 2400, so the correct option is C.

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

To count the number of digits that meet the given criteria, we first need to analyze how the criteria is.

If the numbers must be in increasing order, then the smallest number that can be in the hundreds place is 3 (the smaller integer larger than 2).

so we have:

23__

The number next to the 3 can be a 4, for example:

234_

And the final number can be any number larger than 4, so we have {5, 6, 7, 8, 9} a total of 5 options.

If instead of a 4, the number next to the 3 is a 5, we have:

235_

And the number next to the five can be any digit larger than 5, so now we have 4 options.

Now, we can't have another number than a 3 in the hundreds place, because if we put a 4 there, we are out of the range, and 3 is the smallest digit that we can use there.

Then we already saw all the possible numbers that we can make, adding the numbers of options that we got above we will get:

5 + 4 + 3 + 2 + 1 = 15

This means that are 15 of these numbers between 2020 and 2400. Then the correct option is C.

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The slits were placed approximately 0.00635 meters (6.35 mm) apart, calculated using the equation d x nλ = L with a wavelength of 655 nanometers (nm) and a distance to the screen of 1.524 meters (1524 mm).

The slits were placed very close together, with a distance of approximately 0.00635 meters (6.35 mm).

This value was calculated using the equation d x nλ = L, where d represents the distance between the slits, n is the order of the interference pattern, λ is the wavelength of the light used, and L is the distance between the slits and the screen.

In this case, the wavelength used was 655 nanometers (nm), and the distance to the screen was 1.524 meters (1524 mm).

By rearranging the equation and solving for d, we find that the slits were spaced very closely together.

The equation d x nλ = L is derived from the principles of interference and diffraction, which describe how light waves interact with each other. When light passes through a narrow slit, it diffracts and creates an interference pattern on a screen.

The distance between the slits (d) determines the spacing of the pattern, with smaller values resulting in closely spaced fringes. By manipulating the equation, we can calculate the distance between the slits based on the known values of wavelength (λ) and the distance to the screen (L).

In this case, the slits were placed very close together, resulting in a compact interference pattern on the screen.

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Answer:

5.32 kilograms

Step-by-step explanation:

350.00/65.75 = 5.323194

line integral, where c is the given curve. c xey dx, c is the arc of the curve x = ey from (1, 0) to (e3, 3), the value of the line integral is 1/2 (e⁶ - 1).

To evaluate the line integral of c xey dx, where c is the arc of the curve x = ey from (1, 0) to (e3, 3), we first need to parameterize the curve c. Since x = ey, we can rewrite c as y from (0,1) to (3, e³).

Next, we can rewrite the integral in terms of y:

∫c xey dx = ∫0³ (ey) (ey) dy

= ∫0³ e^{(2y)} dy

= [1/2 e^{(2y)}] from 0 to 3

= 1/2 (e⁶ - 1)

Therefore, the value of the line integral is 1/2 (e⁶ - 1).

In summary, we parameterized the curve c as y from (0,1) to (3, e³) and rewrote the integral in terms of y. We then evaluated the integral using the fundamental theorem of calculus and obtained the final answer of 1/2 (e⁶ - 1).

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Answer:

$8.2225

Step-by-step explanation:

100% - 45% = 55%

then divide 55 by 100 to get .55

lastly multiply .55 to 14.95 to get 8.2225

False. Because a 95% confidence interval is two standard errors on either side of the mean.

What is a 95% confidence interval?

If 100 separate samples were taken and a 95% confidence interval was calculated for each sample, then around 95 of the 100 confidence intervals would contain the actual mean value (), according to the definition of a 95% confidence interval.

For a 95% confidence interval, the value lies within 2 standard deviations of the normal distribution.

For upper and lower bounds one standard error on either side of the mean is 68%.

So, the 95% confidence interval is two standard errors on either side of the mean.

Hence, the given statement is False.

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According to the conversation we can infer that the information focused on the conversation of two people; one of them is studing for an exam.

To identify what is the conversation about we have to consider who is talking and what are the ideas that they share. In this case, we can infer that the main idea of this conversation is that one of them is studying for an exam this week.

Also, the second person is apologizing because he considered that he is distracting the other person. So, the correc information about de conversation is a short conversation about study.

Note: This question is incomplete. Here is the complete information:

Conversation:
Hello

Hello, How are you?

I am fine, and you?

i am fine too, What are you doing?

I am studing for an exam this week.

Oh, sorry I won´t distract you.

Don´t worry.

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