For some real number a and some positive integer n, the first few terms in the expansion of (1 + ax)^n are [1 - 20x + 150x^2 + cx^3 ]. find c?

Calculating the circumference of a circle based on the circle's diameter.

What kind of problems can a quantum computer solve?

10 Difficult Problems Quantum Computers can Solve Easily-

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The complete question is -

Which type of mathematical problem is too complex for a classical computer to solve efficiently?

a. converting an irregular fraction to an approximate decimal value

b. multiplying two numbers that both have a large number of digits

c. finding two prime factors that result in a specific value when multiplied

d. calculating the circumference of a circle based on the circle's diameter

Answer:

2x - 1

Step-by-step explanation:

Simplify. Note that you cannot combine a term with a variable with a constant term. Divide 5 from both terms in the parenthesis:

1/5(10x - 5) = (10x - 5)/5

Divide 5 from both terms in the parenthesis:

10x/5 = 2x

-5/5 = -1

2x - 1 is your answer.

~

Answer:

1/5 (10x - 5)

\(taking common \: 5 \: from (10x - 5) \\ 1 \div 5 \times 5(2x - 1)\)

2x-1 is your answer

We need to know about circumference of a circle to solve the problem. The number of revolutions that the car wheel makes to travel 1 mile is 672.

The circumference of the circle is the perimeter of the circle. In the given question we know that the diameter of the car wheel is 30 inches, and we need to find out the number of revolutions it will take for the car to travel 1 mile. We need to find the circumeference of the circle from there we will know how much distance it covers in one revolution, so we can find out after that the number of revolutions it will take to cover 1 mile.

radius= 30/2 = 15 inches

circumference= 2\(\pi\)r = 2x \(\pi\)x 15=94.25 sq inches

1 mile = 63360 inches

revolutions = 63360/94.25= 672

Therefore the number of revolutions the car will make to travel 1 mile is 672.

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The volume of a rectangular prism with a length of 12 inches, width of 10 inches, and height of 2.5 inches is 300 cubic inches

Volume of a rectangular prism = length × width × height

= (12 × 10 × 2.5) inches

= 300 inches

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Answer:

$11,000

Step-by-step explanation:

Answer:

es 13 unidades mayor

Step-by-step explanation:

16 - 3 =13

Answer:

Length --> x

Width --> y

Perimeter of a rectangle --> 2x + 2y

The length is always 4 cm more than double the width

x - 4 = 2y

y = (x-4)/2

x = 2y + 4

a. The polynomial equation to give the perimeter --> 2(2y+4) + 2((x-4)/2)

b. x - 4 = 2·6 --> x - 4 = 12 --> x = 16

  Perimeter --> 2·16 + 2·6 = 44 cm

Answer:

first row: 3 and 9 Second row: 30

Step-by-step explanation:

it looks like you are just adding 6 as you go up. random guess so prob wrong. sorry.

Answer:

2, 8, 45

Step-by-step explanation:

based off the one completed part of the table I decided that it would make sense if the time was multiplied by 3 to get the distance. So to complete these I divided or multiplied by 3 to find what to put in each box.

- For the first box I did 6/3 and found 2

- For the second box 24/3 = 8

- For the last box 15 x 3 = 45

this isnt my best area so please let me know if I got anything wrong but I think this is correct. Hope this helps!!

The statement about the team's scores that is most likely true is that half of the team's scores were between 28 and 45 points. That is option C.

A box plot is a type of representation of data that give a total of five numbered summary of the data that is being represented. They include the following:

Since the first quartile, median, and third quartile are within 28 and 45, then half of the team's scores were between 28 and 45 points.

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Answer:

20

Step-by-step explanation:

Total no of plants in a garden = 36

The ratio of tomato plants to cucumber plants to be 4:5.

Let tomato plants are 4x and cucumber plants is 5x.

ATQ,

4x+5x=36

9x = 36

x = 4

For cucumber plant, 5x = 5(4) = 20

So, there are 20 cucumber plants will be in Reggie's garden

The table with the scale measurements is given by the image shown at the end of the answer.

The measurements are obtained applying the proportion given for each table.

The symbols are given as follows:

For the first table, we have that every inch on the table represents one feet in real life, hence:

For the second table, we have that every inch on the paper represents two feet in real life, hence the measurements are given as follows:

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Answer:

A

Step-by-step explanation:

sin= opp./hyp.

Answer:

the answer is b 8/17

Step-by-step explanation:

Answer:

Solution given:

radius [r]=40ft

length of arc=70/360×2πr=70/360×2×π×40

=48.86=49ft is your answer

Answer:

49ft is the answer. hope it helps

Answer:

Parallelogram

Step-by-step explanation:

is a polygon that has exactly four sides. (This also means that a quadrilateral has exactly four vertices, and exactly four angles.)

Answer:

.624

Step-by-step explanation:

Hope this helps.

Answer: 0.624

Step-by-step explanation:

49.2 calories are in  would that contribute per serving .

What does a calorie mean ?

Carbohydrates provide 4 calories per gram.

              1 gm Carbohydrates = 4 calories

 then 12.3 gm Carbohydrates  = 12.3 * 4

                                             = 49.2 calories

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In this study, the researcher is interested in understanding the factors that may influence the time it takes for students to complete a bachelor's degree. The response variable is the time to graduate, which represents the outcome or the variable of interest that the researcher wants to measure and analyze (option c).

The explanatory variable, on the other hand, is the use of community college or not. This variable is the factor that the researcher believes may have an effect on the response variable. The researcher wants to investigate whether students who first attended community college took longer to attain a bachelor's degree compared to those who immediately attended and remained at a 4-year institution.

By comparing the time to graduate for students who transferred from community college versus those who did not, the researcher can assess whether there is a difference in the time it takes to complete a bachelor's degree based on the choice of educational path.

Therefore, the response variable in this study is the time to graduate, while the explanatory variable is the use of community college or not. The correct option is c.

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Answer:

3/4x+3-2x= −5 /4 x+3

Step-by-step explanation:

yw <3 IMAO

The statements that are true regarding triangle XYZ are XZ = 9√2 and YZ = 9

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

XY = 9 cm

Also, we have the right triangle

The acute angle in the triangle is 45 degrees

This means that

XY = YZ = 9

It also means that

XZ = XY√2

So, we have

XZ = 9√2

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Triangle has a point at its orthocenter is C.

Orthocenter of a triangle is a point where the three altitudes of a triangle meet each other.

As, orthocenter is a point where three altitudes of a triangle meet each other.

Here, the figure C has a point at its orthocenter of the triangle.

As, each of the altitude arise from each vertex of a triangle.

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It is impossible to determine if 443 is a plausible value for the true average degree of polymerization.

The interval you mentioned might provide some information about the possible range of values for the true average degree of polymerization. However, it would depend on how the interval was calculated and what assumptions were made in the calculation.

In general, if the interval was calculated using a reliable and appropriate statistical method, and if the underlying data is representative and unbiased, then it is possible that 443 is a plausible value for the true average degree of polymerization. However, without more information about the context and the data, it is difficult to make any definitive conclusions.

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Company A has a higher risk percentage (55%) compared to Company B (3%).

To compute the Coefficient of Variation (CV) for each company, we need to use the formula:

CV = (Standard Deviation / Mean) * 100

Let's calculate the CV for each company:

For Company A:

Risk Percentage = 55%

Return = 14%

For Company B:

Risk Percentage = 3%

Return = 14%

Since we don't have the standard deviation values for each company, we cannot calculate the exact CV. However, we can still compare the riskiness of the two companies based on the provided information.

The Coefficient of Variation measures the risk relative to the return. A higher CV indicates higher risk relative to the return, while a lower CV indicates lower risk relative to the return.

In this case, Company A has a higher risk percentage (55%) compared to Company B (3%), which suggests that Company A is riskier. However, without the standard deviation values, we cannot make a definitive conclusion about the riskiness based solely on the provided information. The CV would provide a more accurate measure for comparison if we had the standard deviation values for both companies.

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Answer:

Step-by-step explanation:

,,,

Answer:

\( \sin(45) = \frac{x}{5} \\ \\ = > \frac{ \sqrt{2} }{2} = \frac{x}{5} \\ \\ < = > x = \frac{5 \sqrt{2} }{2} \)

The corresponding values of y so that each ordered pair is a solution of the equation y = 0.2x – 2 is,

Input    (x)    -6        -1       1  

Output (y)     -3.2  -2.2   -1.8

Function rule is the rule of writing the relationship between the two variables, one is dependent and another is independent.

The table given in the problem is;

Input    (x)    -6        -1       1  

Output (y)

We have given the equation as;

y = 0.2x – 2

Complete the table using the above function rule;

At (x) equal to -6,

y = 0.2x – 2

y = 0.2(-6) – 2

y = -3.2

At (x) equal to -1,

y = 0.2x – 2

y = 0.2(-1) – 2

y = -2.2

At (x) equal to 1,

y = 0.2x – 2

y = 0.2(1) – 2

y = -1.8

Hence,

Input    (x)    -6        -1       1  

Output (y)     -3.2  -2.2   -1.8

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Answer:

Step-by-step explanation:

The student should stand at 2L/9 you will see it tip over so as to weigh of 60kg.

Due to the fact that mass is the quantity of matter contained in an item and does not change with gravity, mass is always the same. As long as the amount of matter in an object doesn't change, its mass will remain constant. In contrast, an object's weight refers to the force of gravity acting on it.

No matter where you are in the cosmos, you have the same mass since mass is a measurement of how much matter is in an object. But because weight measures the force between an object and the body it is resting on, it fluctuates (whether that body is the Earth, the Moon, Mars, et cetera).

Given : A mass of student 40 kg

length is represented by l

Position of the pivot point from the board = l/3

The student should stand at 2L/9 you will see it tip over so as to weigh of 60kg.

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As per the gaussian distributed random variables , the joint probability density function of the given variable is E [Z(t1)] = cos(2πt1)E [X] + sin(2πt1)E [Y]

Gaussian distribution:

In statistics, the Gaussian distribution refers the normally distributed, and is called a normal deviate. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known.

Given,

Here we need to find the the joint probability density function of the variables x and y be independent gaussian distributed random variables each with zero mean and unity variance.

Here we know that every weighted sum of the samples of the Gaussian process Z(t) is Gaussian, Z(t1), Z(t2) are jointly Gaussian random variables. Hence we need to find mean, variance and correlation co-efficient to evaluate the joint Gaussian PDF.

Then the equation is written as,

=> E [Z(t1)] = cos(2πt1)E [X] + sin(2πt1)E [Y]

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Answer:

39.5m

Step by step explanation:

If we have that y varies directly with x by a constant of 3/2, we can pose this as follows:

Thus, if the value for y = 14, then we can use the previous relation to find the value of x:

Then, the value for x = 9.33333... or 91/3: