The length of a rectangle is 2 centimeters less than its width. What are the dimensions of the rectangle if its area is 255 square​ centimeters?

Find length and width

Descriptive statistics is a branch of statistics that deals with the summary of data using numerical and graphical methods. Descriptive statistics is used to calculate different measures of central tendency, variability, and correlation.

Central tendency is the tendency of data to cluster around a central value, which can be found using measures like mean, median, and mode. On the other hand, variability is the extent to which the data varies from the central tendency and can be calculated using measures such as variance, standard deviation, and range.An example of central tendency can be a dataset of the ages of students in a classroom. The mean, median and mode are measures of central tendency that can be used to summarize the data.

The standard deviation is the square root of the variance and represents the average distance of the data points from the mean.In summary, central tendency and variability are two important aspects of descriptive statistics used to summarize data. While central tendency measures the center of a dataset, variability measures the spread of the data. Descriptive statistics is used to provide insights into a dataset by providing a summary of the data using numerical and graphical methods.

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Answer:

A.) 7:1 (which is 5.25 : 0.75 simplified)

B.) 0.75 : 6

Step-by-step explanation:

Answer:

28/60

Step-by-step explanation:

There are 60 people in total and only 28 people said they prefer strictly vanilla and no other flavor.

28/60

Answer: AAS

Step-by-step explanation:

Lets call the intersection point between AC and DE F.

I think he meant the two triangles AFE and DFC.

We know angle A is congruent to angle D.

We also know AE is congruent to DC.

There is also a hidden piece of evidence which is AFE is congruent to DFC due to vertical angles.

We know two angles and 1 side, so we can use AAS to figure out that the two smaller triangles are congruent.

Because studies used in a meta-analysis have typically used different statistical tests, a statistic called effect size is used to put all the results into a common scale.

A meta-analysis is a statistical approach used to synthesize the results of several studies. It is a quantitative study of studies. In other words, it is a method that uses statistical analysis to incorporate the results of multiple clinical studies, which helps to obtain a more precise and reliable estimate of the impact of the intervention.

Effect size is used to combine all the results of the different studies into a common scale because each study might use a different statistical test that is not directly comparable to other studies.What is effect size?Effect size is a numerical value that describes the magnitude of the difference between two groups in a study. It allows researchers to compare the findings from different studies that might use different measurement instruments.

A large effect size implies a significant difference between the two groups in a study. Conversely, a small effect size indicates that there is no meaningful difference between the groups. Effect size is calculated as the standardized difference between the means of two groups divided by their standard deviation (Cohen’s d).

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The maximal amount of medically unsupervised weight loss that an adult should aim for in one week is generally 1-2 pounds (0.5-1 kg). This is because losing weight too quickly can be harmful to your health and lead to a number of negative side effects, such as muscle loss, fatigue, dehydration, and gallstones.

It's important to note that the amount of weight an individual can lose in a week can vary depending on factors such as their starting weight, body composition, and overall health. In some cases, a doctor or other medical professional may recommend a faster rate of weight loss under close supervision, but this is generally reserved for people who are severely overweight or have medical conditions that require rapid weight loss.

Ultimately, it's important to approach weight loss in a healthy and sustainable way, with a focus on making long-term lifestyle changes rather than relying on quick fixes or fad diets. A balanced diet, regular exercise, and a consistent sleep schedule are all important components of a healthy weight loss plan.

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Answer:

nwhbjwhr

Step-by-step explanation:

ewrwrwrwewe

Answer:

3/6 of a bag of candy

Step-by-step explanation:

When you do butterfly method, u may have learned or not but u do.

3/10, 3/6

and you multiply across

So, 6x3=18 and 10x3=30

and 3/6 has a higher value, so its correct

A sphere thrown upward at a 45-degree angle to the horizontal in a classroom elastically bounces off the ceiling while still rising

At time t = 0, a sphere is launched with an initial velocity at a 45-degree angle to the horizontal in a classroom. The sphere follows a parabolic trajectory as it rises due to the upward component of its initial velocity and experiences the downward pull of gravity. While the sphere is still ascending, it reaches the ceiling and collides with it.

During the elastic collision, the sphere's motion is reversed. It rebounds off the ceiling, changing its direction but maintaining its kinetic energy. As a result, the sphere starts descending with the same speed it had before the collision but in the opposite direction. The angle of descent will also be 45 degrees to the horizontal, mirroring the angle of the initial launch.

Throughout the entire process, neglecting air resistance, the total mechanical energy of the sphere is conserved since the collision with the ceiling is elastic.

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Answer: Not similar

Step-by-step explanation:

They are telling you that you have a Side and a Side that are similar.  The sides of the smaller triangle are multiplied by 2 to get the larger triangle, but you need a 3rd element for it to be similar.  You have SS but you need another side or angle for it to be similar

Not similar

The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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To calculate the energy of the resulting explosion when a 10,000 kg UFO made of antimatter crashes with a 40,000 kg plane made of matter, we can use Einstein's famous equation, E=mc², which relates energy (E) to mass (m) and the speed of light (c).

In this case, we'll need to calculate the total mass of matter and antimatter involved in the collision and then use the equation to find the energy released. The equation E=mc² states that energy is equal to the mass multiplied by the square of the speed of light (c). In this scenario, we have a collision between a UFO made of antimatter and a plane made of matter. Antimatter and matter annihilate each other when they come into contact, resulting in a release of energy.

To calculate the energy of the resulting explosion, we need to determine the total mass involved in the collision. The total mass can be calculated by adding the masses of the UFO and the plane together. In this case, the UFO has a mass of 10,000 kg and the plane has a mass of 40,000 kg, so the total mass is 50,000 kg.

Next, we can use the equation E=mc² to calculate the energy. The speed of light (c) is a constant value, approximately 3 x 10^8 meters per second. Plugging in the values, we have E = (50,000 kg) x (3 x 10^8 m/s)². Simplifying the equation, we have E = 50,000 kg x 9 x 10^16 m²/s².Multiplying the numbers, we get E = 4.5 x 10^21 joules. Therefore, the energy of the resulting explosion when the UFO and plane collide is approximately 4.5 x 10^21 joules.

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Answer: the first term in the sequence is 9.

Step-by-step explanation:

Let the primary term be x.

At that point the moment term is 2x + 4.

And the third term is 2(2x + 4) + 4 = 4x + 12.

Since the third term is given as 48, we will set up an condition and unravel for x:

4x + 12 = 48

4x = 36

x = 9

Answer:

Factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010. There are 11 integers that are factors of 2020. The biggest factor of 2020 is 1010.

There are 10, 20, 202, 404, 505, and 1010  factors of 2020 have more than 3 factors.

Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.

For an integer, factorization is decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number. Those composing integers are called factors of that considered integers.

Also Prime factorization is when all those factors are prime numbers.

Thus, this factorization expresses an integer in terms of multiples of prime numbers.

Factors of 2020 are;

1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010.

There are 11 integers that are factors of 2020.

We can see that the biggest factor of 2020 is 1010.

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Solution

Using BODMAS to solve the fraction

Therefore the answer = -3/4

The sampling method that is most likely to be appropriate for calculating confidence intervals is simple random sampling.

This method ensures that every member of the population has an equal chance of being selected for the sample. This reduces the risk of bias and ensures that the sample is representative of the population. Stratified sampling is also a useful method for calculating confidence intervals, especially when the population has subgroups that need to be represented in the sample. However, other sampling methods like convenience sampling or quota sampling are not appropriate for calculating confidence intervals as they can introduce bias into the sample and do not guarantee a representative sample. Therefore, it is important to use an appropriate sampling method when calculating confidence intervals to ensure that the results accurately reflect the population.

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The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.

To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:

1. Calculate the perimeter of the given rectangular field:

  Perimeter = 2 * (Length + Width)

            = 2 * (120 meters + 80 meters)

            = 2 * 200 meters

            = 400 meters

2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:

  Side length = Perimeter / 2

             = 400 meters / 2

             = 200 meters

3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.

4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:

  Width = Perimeter / 2 - Length

        = 400 meters / 2 - 200 meters

        = 200 meters - 200 meters

        = 0 meters

5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.

In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.

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Answer:

$337.50

Step-by-step explanation:

The computation of the number of miles need to drive for determining the same cost is given below:

Let us assume the miles be x

So for the first plan, the equation is

= $0.90x

And for the second plan, the equation is

= $75 + $0.70x

Now equate this

0.90x = $75 + 0.70x

0.90x - 0.70x = $75

0.20x = $75

x = $75 ÷ 0.20

= 375 miles

Now the same cost would be

For plan A and plan B

0.90x = $75 + 0.70x

0.90(375) = $75 + 0.70(375)

$337.5 = $75 + $262.50

$337.50 = $337.50

The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

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Answer:

21

Step-by-step explanation:

P=LxW

21=3x7

Answer:

The relationship between altitude and atmospheric pressure is exponential, as shown by the function f(x) in this problem.

Step-by-step explanation:

a. To find the pressure at sea level, we need to evaluate f(x) at x=0:
f(0) = 1038(1.000134)^0 = 1038 millibars.

Therefore, the pressure at sea level is approximately 1038 millibars.

b. To find the atmospheric pressure at an altitude of 2000 meters, we need to evaluate f(x) at x=2000:
f(2000) = 1038(1.000134)^(-2000) ≈ 808.5 millibars.

Therefore, the approximate atmospheric pressure at the McDonald Observatory in Texas is 808.5 millibars.

c. As altitude increases, atmospheric pressure decreases. This is because the atmosphere becomes less dense at higher altitudes, so there are fewer air molecules exerting pressure.

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Answer:

E

Step-by-step explanation:

"If the expression has exponents or square roots, they are to be performed after parentheses and other grouping symbols have been simplified and before any multiplication, division, subtraction and addition that are outside the parentheses."

5 1/3 is 64/12 in it's simplest form as a mixed number.

Hope it helps you out! Good luck. :)

Answer:

16/3

That's the answer.

A polynomial can have as many real zeros as its degree, hence one with three degrees can have as many as three zeros.

The roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

A polynomial with n degrees can have as many variables as n in total.

For example, a quadratic equation ax² + bx + c = 0 is a two-degree equation so it has a maximum of two roots or zeros.

A polynomial with the given degree structure will have exactly 3 roots because it has 3 degrees.

Hence "The maximum number of real zeros in a polynomial will be same as its degree thus 3 degrees will have 3 zeros".

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The interest to be paid on $120 at 5% rate for 6 years is $36

Simple interest is the amount paid on a principal amount of money that is borrowed or loaned to someone. It is calculated using the formula: SI = (P × R × T) / 100. Where P is the principal amount, R is the rate and T is the time.

From the question;

P = $120

R = 5%

T = 6years

we shall evaluate for the simple interest as follows:

Simple interest = ($120 × 5 × 6)/ 100

Simple interest = $3600/100

Simple interest = $36

Therefore, the interest to be paid on $120 at 5% rate for 6 years is $36.

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the probability of wearing blue shirts on both Monday and Tuesday is 5/33.

To find the probability of wearing blue shirts both days, we'll use the concept of probability. There are 12 shirts in your closet, with 5 being blue and 7 being green.

On Monday, the probability of choosing a blue shirt is 5/12 (5 blue shirts out of 12 total). After choosing a blue shirt on Monday, there are now 11 shirts left in your closet, with 4 blue shirts remaining.

On Tuesday, the probability of choosing a blue shirt is 4/11 (4 blue shirts out of 11 total).

To find the probability of wearing blue shirts both days, multiply the probabilities for each day: (5/12) * (4/11) = 20/132, which simplifies to 5/33.

So, the probability of wearing blue shirts on both Monday and Tuesday is 5/33.

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When given expression (4x⁴-7x³+7x²-12x+15)/(x-1) is solved, result in the form q(x)+r(x)/b(x) will be -7x² + 4 + 19/(x-1).

Expressions in mathematics are mathematical statements that are made up of at least two sentences that contain numbers, variables, or both, and are connected by an operator. Addition, subtraction, multiplication, and division are examples of mathematical operations. For example, x + y is an equation that separates the terms x and y by an addition operator. There are two sorts of expressions in mathematics: numerical expressions, which include simply numbers, and algebraic expressions, which contain both numbers and variables.

e.g. A number is 6 times larger than another number, x. This statement may be expressed mathematically as x/2 + 6. Complex issues are solved using mathematical expressions.

Now,

Given expression to solve is (4x⁴-7x³+7x²-12x+15)/(x-1)

then dividing this

=4x⁴/x-1-7x³/x-1+7x²/x-1-12x/x-1+15/x-1

=4x³-3x²+4x-8+7/x-1  in form of  q(x)+r(x)/b(x)

= 4x⁴/x-1-7x³/x-1+7x²/x-1-12x/x-1+15/x-1

= -7x² + 4 + 19/(x-1)

hence,

          When given expression (4x⁴-7x³+7x²-12x+15)/(x-1) is solved, result in the form q(x)+r(x)/b(x) will be -7x² + 4 + 19/(x-1).

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