find the coefficient of x^4y^6 in the expansion of (5x - 4y)^10

Answer:

8

Step-by-step explanation:

it's multiplied by 2 as you go to triangle 2

Answer:

x = 8

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\(\frac{5}{10}\) = \(\frac{4}{x}\) ( cross- multiply )

5x = 40 ( divide both sides by 5 )

x = 8

Answer: It would be $3.75

Step-by-step explanation: 12/2=6 and 7.50/2=3.75

The cost of the computer in Mexican pesos would be 839,779 Mexican pesos.

To convert an amount in American dollars to Mexican pesos, we can multiply by the exchange rate of 18.4398 Mexican pesos per American dollar.

That is, 18.4398 in Mexican peso is equal to one American dollar.

So, if an order of American computer hardware costs $45,000, the cost in Mexican pesos would be $45,000 * 18.4398 = 839,779 Mexican pesos.

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Answer:

After Multiplying them.

we get 0 as an answer.

Answer:

  (2, 2) ⇒ (-2, 2)

  (-5, 6) ⇒ (-6, -5)

  (2, 6) ⇒ (-6, 2)

  (-5, 2) ⇒ (-2, -5)

Step-by-step explanation:

The new coordinates can be found using the transformation function for figures rotated 90° about the origin.

Rotation 90° (counterclockwise) about the origin can be described by ...

  (x, y) ⇒ (-y, x)

The end points of the diagonal that comes closest to the origin will be transformed to ...

  (2, 2) ⇒ (-2, 2)

  (-5, 6) ⇒ (-6, -5)

The other diagonal end points will be on the same horizontal and vertical lines as these.

  (2, 6) ⇒ (-6, 2)

  (-5, 2) ⇒ (-2, -5)

Answer:

1.5 pound

dfcefx sec e ggv

In the main() function, we prompt the user to enter the values of , , and . Then, we call the user-defined function to calculate and display the maximum root.

The quadratic equation is given by: a² + b + c = 0. To find the maximum root of the quadratic equation, a user-defined function is required. The function takes parameters , , and and returns the maximum root. This function can be used in the main() function to obtain the values of , , and from the user and display the maximum root.

To find the maximum root of a quadratic equation, we need to determine the vertex of the parabola represented by the equation. The x-coordinate of the vertex is given by = -/2. By substituting this value into the quadratic equation, we can calculate the maximum root.

The user-defined function will compute the maximum root as follows: Calculate the discriminant, Δ = ² - 4. If Δ < 0, the equation has no real roots, so return an appropriate error message. Calculate the x-coordinate of the vertex, = -/2.

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Hello

See attachment.

CB² = AC² + AB²

CB² = 6² + 5²

CB² = 61

CB = √61ù

CB = DE = √61

CE² = CD² + DE²

DC² = CE² - DE²

DC² = 8² - (√61)²

DC² = 64 - 61

DC² = 3

DC = √3

x = √3

Answer:

Explanation:

The statement "Suppose that 14% of people own dogs," implies that the probability of owning a dog is given as;

Therefore, if two people are selected randomly for owning dogs, they would have the same probability attached to them.

We can then combine both probabilities by using the "and" symbol. which implies "multiplication."

Workings

A triangular prism is a three-dimensional geometric shape that has two congruent, parallel triangular bases and three rectangular faces connecting the bases. To find the volume of a triangular prism, you need to multiply the area of one of the triangular bases by the height of the prism. Volume = (1/2) x Base x Height x Length.

Mathematically, the formula for the volume of a triangular prism is:

Volume = (1/2) x Base x Height x Length

where "Base" is the length of one of the sides of the base triangle, "Height" is the height of the base triangle (i.e., the perpendicular distance from the base to the opposite vertex), and "Length" is the distance between the two triangular bases.

To calculate the volume of a triangular prism, first we need to find the area of the base triangle by using the formula: Area = (1/2) x Base x Height. Multiply the area of the base triangle by the length of the prism to get the volume. For example, let's say we have a triangular prism with a base of length 6 cm, a height of 4 cm, and a length of 10 cm. Using the formula,

Area of the base triangle = (1/2) x Base x Height = (1/2) x 6 cm x 4 cm = 12 cm^2

Volume = (1/2) x Base x Height x Length = (1/2) x 6 cm x 4 cm x 10 cm = 120 cm^3

Therefore, the volume of the triangular prism is 120 cubic centimeters (cm^3).

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Answer:

3(7x - 3)

Step-by-step explanation:

21x - 9

3(7x - 3)

The appropriate null hypothesis is that there is no significant difference in preference for in-person or remote learning across the four grade levels.

The alternative hypothesis is that there is a significant difference in preference for in-person or remote learning across the four grade levels.

a) Null and alternative hypotheses:
H0 (null hypothesis): There is no association between grade level and preference for remote or in-person learning.
Ha (alternative hypothesis): There is an association between grade level and preference for remote or in-person learning.

b) Expected count calculation for the remote/senior cell:
To find the expected count, you'll use the formula: (Row total * Column total) / Grand total

Row total for remote learning: 3 + 12 + 14 + 15 = 44
Column total for seniors: 15 + 10 = 25
Grand total: 25 freshmen + 25 sophomores + 25 juniors + 25 seniors = 100 students

Expected count for remote/senior cell = (44 * 25) / 100 = 11

Complete table of expected counts:

              | Remote | In-person
---------------
Freshmen | 11      | 14
Sophomores | 11      | 14
Juniors   | 11      | 14
Seniors   | 11      | 14

c) Calculation of the chi-square test statistic:
Chi-square (X²) = Σ [(O - E)² / E], where O is the observed count, and E is the expected count.

X² = ( (3-11)²/11 + (12-11)²/11 + (14-11)²/11 + (15-11)²/11 + (22-14)²/14 + (13-14)²/14 + (11-14)²/14 + (10-14)²/14 )

X² = ( 64/11 + 1/11 + 9/11 + 16/11 + 64/14 + 1/14 + 9/14 + 16/14 ) = 32.73

The chi-square test statistic is approximately 32.73.

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Answer:

A. Total number of Birds: G + D + C + E + S or B + L + F

B. \(\frac{L}{B+L+F}\)

C. \(\frac{G+D}{B+L+F}\)

Step-by-step explanation:

first divide you duck by one two three and then subtracted by 578

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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Answer:

100

Step-by-step explanation:

\(4\times(2+3)^{2}\)

This can be turned into:

\(4\times5^{2}\)  (if we add the numbers inside the brackets)

Following PEDMAS, this becomes:

\(4\times25\) which equals \(100\)

∴  \(4\times(2+3)^{2}=100\)

Answer:

B. Few energy sources

Step-by-step explanation:

17 1/4 = p - 2 3/4

To solve for p add 2 3/4 to both sides

P = 17 1/4 + 2 3/4

P = 20

Answer:

The price of gasoline in Paris is $6.00/gallon

Step-by-step explanation:

We are asked to find the price of gas in dollars per gallon for gasoline in Paris.

Step 1

We are told in the question that: the average price of gasoline in Paris, France, is 1.91 euros per liter.

Also we are told that, the exchange rate is 1.203 euros for one dollar

We convert the Euros to dollars

If, 1.203 euros = 1 dollar

1.91 euros = x dollars

We Cross Multiply

1.203 euros × x dollars = 1.91 euros × 1 dollar

x dollars = 1.91 euros × 1 dollar/ 1.203 euros

x dollars = 1.5876974231 dollars

Therefore, 1.203 euros = Approximately 1.59 dollars.

Hence, the price of gasoline in Paris, France is 1.59 dollars per liter.

Step 2

We convert the from liter to gallon

In the question, we are told that:

If there are 3.785 liters in one gallon

Therefore, if

1 liter of gasoline = 1.59 dollars

3.785 liters of gasoline =

Cross Multiply

= 3.785 liters × 1.59

= 6.01815 dollars.

Approximately to the nearest whole number = 6.00 dollars.

Since 3.785 liters of gasoline = 1 gallon of gasoline, therefore, the price of gas in dollars per gallon for gasoline in Paris is $6.00/gallon

Answer:

78

Step-by-step explanation:

because I know everything

It will take approximately 15.5 years for the amount to double, rounded to the nearest tenth.

To find out how long it will take for the amount to double, we can use the continuous compound interest formula:

A = P * e^(rt)

Where:

A = Final amount (double the initial amount)

P = Principal amount (initial investment)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time (in years)

In this case, the initial investment (P) is $1000, and we want to find the time it takes for the amount to double. The final amount (A) is $2000 (double the initial amount). The annual interest rate (r) is 4.5% or 0.045 (in decimal form).

Plugging these values into the formula, we have:

2000 = 1000 * e^(0.045t)

Dividing both sides by 1000:

2 = e^(0.045t)

Taking the natural logarithm (ln) of both sides:

ln(2) = 0.045t

Finally, solving for t:

t = ln(2) / 0.045 ≈ 15.5

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Step-by-step explanation:

perdon necesito los puntos

The answer of the question based on population growth is , the estimated population after one year is approximately 34 deer.

To estimate the population after one year, we can use the formula for exponential growth:

P = P0 * (1 + r)^t.

P0 represents the initial population (20 deer in this case), r represents the growth rate (70% or 0.7 as a decimal), and t represents the time period in years (1 year in this case).

Using these values, we can calculate the population after one year as follows:

P = 20 * (1 + 0.7)¹
P = 20 * 1.7
P ≈ 34

Therefore, the estimated population after one year is approximately 34 deer.

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The information that can be illustrated from the table that shows the relationship between x and y is that the expression is y = x + 6.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations

Based on the information, at 0, y is 6. At 1, y is 10. It should be noted that the expression will be:

y = x + 6.

This illustrates the expression.

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The correct option is: The surface area will be increased by 705 sq. ft.

What is a rectangular prism?

A rectangular prism is a three-dimensional shape with six rectangular faces. It is also known as a rectangular parallelepiped or a rectangular cuboid.

The surface area of a rectangular prism is given by the formula:

SA = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the prism.

If we halve the height (h) of the rectangular prism, we get a new height of h/2. Therefore, the new surface area can be calculated as:

SA' = 2lw + 2l(h/2) + 2w(h/2)

= 2lw + lh + wh

Substituting the given values, we get:

SA = 2(33)(14) + 2(33)(15) + 2(14)(15) = 2,772 sq. ft.

SA' = 2(33)(14) + (33)(15/2) + (14)(15/2) = 2,772 + 495 + 105 = 3,372 sq. ft.

So, the new surface area (SA') is greater than the original surface area (SA). The difference between the two surface areas is:

SA' - SA = 3,372 - 2,772 = 600 sq. ft.

Therefore, the correct option is:

The surface area will be increased by 705 sq. ft. (which is closest to the calculated difference of 600 sq. ft.).

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Answer:

Step-by-step explanation:

Correct option is A)