(3×2^2)^9÷(3^3×2)^5​

Answer:

0.75

Step-by-step explanation:

The outcomes are equally likely, so the easiest way to work this problem is to write out the 8 outcomes in this sample space. In two outcomes the gender of all three children is the same (GGG, BBB). The other 6 outcomes contain at least one boy and one girl.

*Please mark brainliest

Answer: 41.85

Step-by-step explanation:

The area of a rectangle with length \(l\) and width \(w\) is \(A=lw\).

So, the area is \(A=(4.5)(9.3)=41.85\).

Answer:

a

Step-by-step explanation:

you were right.

hope this helps

If a nation's annual real GDP growth rate is 2.9%, we can expect real GDP to double in about 24 years.

To determine the approximate number of years required for real GDP to double, we can use the rule of 70. The rule of 70 states that the doubling time can be estimated by dividing 70 by the annual growth rate. In this case, the annual real GDP growth rate is 2.9%.

By applying the rule of 70, we divide 70 by 2.9, which gives us approximately 24.13. Since we need to provide the answer as a whole number, we round down to 24. Therefore, if the nation's annual real GDP growth rate remains constant at 2.9%, it would take approximately 24 years for the real GDP to double.

It's important to note that this is a simplified calculation and assumes a constant growth rate over the entire period. In reality, economic growth rates can vary over time and are influenced by various factors such as technological advancements, government policies, and global economic conditions. Nonetheless, the rule of 70 provides a useful estimate for understanding the doubling time of GDP based on a given growth rate.

Learn more about growth rate here:

https://brainly.com/question/12490064

#SPJ11

The frequency-domain equivalent circuit equation obtained using phasor methods can be used to analyze the behavior of the circuit at different frequencies, and to predict the performance of the circuit under various operating conditions.  

To transform a circuit from the time domain to the frequency domain using phasor methods, follow these steps:

Learn more about circuit equation

https://brainly.com/question/14506661

#SPJ4

Every term in pattern B is two times the corresponding term in pattern A

The correct option is (B).

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

pattern A uses the rule add five pattern

pattern B uses the rule add 10

if we take example

5x2=10 and comparable to pattern A x2 to get the next number.

Hence, every term in pattern B is two times the corresponding term in pattern A.

Learn more about algebra here:

https://brainly.com/question/19245500

#SPJ1

The correct option is (B).

Answer:

3

Step-by-step explanation:

if you round it by the nearest 2 you get 3

In the given a data set consisting of 33 unique whole number observations, its five-number summary. The number of observations less than 38 is 15.

To determine how many observations are less than 38, we can refer to the five-number summary provided: [12, 24, 38, 51, 64].

In this case, the five-number summary includes the minimum value (12), the first quartile (Q1, which is 24), the median (Q2, which is 38), the third quartile (Q3, which is 51), and the maximum value (64).

Since the value of interest is less than 38, we need to find the number of observations that fall within the first quartile (Q1) or below. We know that Q1 is 24, and it is less than 38.

Therefore, the number of observations that are less than 38 is the number of observations between the minimum value (12) and Q1 (24). This means there are 24 - 12 = 12 observations less than 38.

Thus, the correct answer is d) 15.

To know more about statistics refer here:

https://brainly.com/question/32201536?#

#SPJ11

Answer:

A is -8

B is 28

Step-by-step explanation:

Let us rewrite the equation in the standard format of y = mx + b

By = -Ax + 12

y = (-A/B)x + 12/B

Now, since the line is parallel to the line given below, then their slopes must be equal

2x - 7y = 3

7y = 2x - 3

y = (2/7)x - 3/7

slope here is 2/7

Thus;

-A/B = 2/7

let’s now insert the point that the line passes through

We have;

1 = (-A/B)2 + 12/B

but -A/B = 2/7

1 = 4/7 + 12/B

12/B = 1 - 4/7

12/B = 3/7

B = (7 * 12)/3

B = 28

-A/28 = 2/7

-7A = 56

A = 56/-7

A = -8

Answer:

1) The variable is x

2) \(1.5x > 51\) Solving the inequality we get x>34

3) \(5b > 51\), solving the inequality we get b>10.2

Step-by-step explanation:

1. Define the variable:

The variable is x

2) Trini needs more than 51  cubic feet of soil to top up  his raised garden. Each bag  of soil contains 1.5 cubic  feet. Write and solve an  inequality to find how many  bags of soil Trini needs.

\(1.5x > 51\)

Solving the inequality

\(x>\frac{51}{1.5}\\x>34\)

Solving the inequality we get x>34

3) Write the inequality:

5 times b greater than 51

\(5b > 51\)

4) Solving the inequality

\(5b > 51\\b>\frac{51}{5}\\b>10.2\)

So, solving the inequality we get b>10.2

Answer:

The answer is D

Step-by-step explanation:

To be a function, you cannot have the same x values.

Answer:  4(5z−2)

Step-by-step explanation: Brainliest pls

The side length of the square game board with an area of 113 (in)² is approximately 10.63 in.

The area of any two-dimensional figure is the space occupied within its boundary.

The area of a square with side length a, is calculated using the formula, A = a² square units.

In the question, we are asked to find the approximate side length of a square game board with an area of 113 (in)².

Since the game board is square in shape, we can apply the formula for the area of a square.

We assume the side length to be a in.

By the formula for the area of a square, we can calculate the area of the square game board to be a² (in)².

But, the area of the square game board is given to be 113 (in)².

Thus, we get an equation:

a² = 113,

or, a = √113,

or, a = 10.63014581273465,

or, a ≈ 10.63.

Thus, the side length of the square game board with an area of 113 (in)² is approximately 10.63 in.

Learn more about the area of a square at

https://brainly.com/question/28238956

#SPJ9

Answer:

1. 30

2. 0.83333333

3. 1.2

4. 30

Step-by-step explanation:

H is the only reasinable decimal

W is a subspace of R4 since it satisfies closure under vector addition, closure under scalar multiplication, and contains the zero vector.

(a) W is a subspace of R4.

To prove that W is a subspace of R4, we need to show that it satisfies three conditions: closure under vector addition, closure under scalar multiplication, and contains the zero vector.

Closure under vector addition: Let's take two vectors (a₁, a₂, a₃, a₄) and (b₁, b₂, b₃, b₄) from W. We need to show that their sum is also in W.

(a₄ - a₃) + (b₄ - b₃) = (a₂ - a₁) + (b₂ - b₁)

(a₄ + b₄) - (a₃ + b₃) = (a₂ + b₂) - (a₁ + b₁)

This satisfies the condition and shows closure under vector addition.

Closure under scalar multiplication: Let's take a vector (a₁, a₂, a₃, a₄) from W and multiply it by a scalar c. We need to show that the result is also in W.

c(a₄ - a₃) = c(a₂ - a₁)

(c * a₄) - (c * a₃) = (c * a₂) - (c * a₁)

This satisfies the condition and shows closure under scalar multiplication.

Contains zero vector: The zero vector (0, 0, 0, 0) satisfies the equation a₄ - a₃ = a₂ - a₁, so it is in W.

Therefore, W satisfies all the conditions and is a subspace of R4.

(b) S is a spanning set of W.

The subset S = {(1, 0, 0, 1), (0, 1, 1, 0)} is given. To verify that S is a spanning set of W, we need to show that any vector (a₁, a₂, a₃, a₄) in W can be expressed as a linear combination of the vectors in S.

Let's consider an arbitrary vector (a₁, a₂, a₃, a₄) in W. We need to find scalars c₁ and c₂ such that c₁(1, 0, 0, 1) + c₂(0, 1, 1, 0) = (a₁, a₂, a₃, a₄).

Expanding the equation, we get:

(c₁, 0, 0, c₁) + (0, c₂, c₂, 0) = (a₁, a₂, a₃, a₄)

From this, we can see that c₁ = a₁ and c₂ = a₂, which means:

c₁(1, 0, 0, 1) + c₂(0, 1, 1, 0) = (a₁, a₂, a₃, a₄)

Therefore, any vector in W can be expressed as a linear combination of the vectors in S, proving that S is a spanning set of W.

(c) A basis for W is {(1, 0, 0, 1), (0, 1, 1, 0)}.

To find a basis for W, we need to ensure that the set is linearly independent and spans W. We have already shown in part (b) that S is a spanning set of W.

Now, let's check if S is linearly independent. We want to determine if there exist scalars c₁ and c₂ (not both zero) such that c₁(1, 0, 0, 1) + c₂(0, 1, 1, 0) = (0, 0, 0, 0).

Solving the equation, we get:

c₁ = 0

c₂ = 0

Since the only solution is when both scalars are zero, S is linearly independent.

Therefore, the set S = {(1, 0, 0, 1), (0, 1, 1, 0)} is a basis for W.

learn more about "vector":- https://brainly.com/question/3184914

#SPJ11

Answer:

see below

Step-by-step explanation:

1 U.S. dollar = 1.02 Swiss francs

$48 = CHF 48.96

part 2

CHF 10.20 = US$10

yes he has enough

Answer:    D the function is nonlinear

Step-by-step explanation:I took the test

Answer: D.

Step-by-step explanation: The function is nonlinear

I took the quiz

A:

Let x = cheese wafers and Y = chocolate

Set up the two equations:  

Total packets: x + y = 11

Total cost: 3x + 2y = 25

B: Solve:

Rewrite x+y = 11 as x= 11-y

Replace x in the second equation:

3(11-y) + 2y = 25

Simplify:

33-3y +2y = 25

Combine like terms:

33-y = 25

Subtract 33 from both sides:

-y = -8

Divide both sides by -1:

y = 8

Now replace y in the first equation to solve for x:

x +8 = 11

x = 3

They bought 3 cheese wafers and 8 chocolate wafers.

Used the substitution method, which eliminates one of the variables so you can solve for the second variable.

Here's how you can use the Trapezoidal Rule to approximate the integral of the function \(f(x) = \frac{1}{{(25+x^2)}^{\frac{3}{2}}}\) from -2 to 2 in MATLAB:

```matlab

a = -2;    % Lower limit

b = 2;     % Upper limit

n = 1000;  % Number of subintervals (increase for higher accuracy)

h = (b - a) / n;   % Step size

x = a:h:b;         % Generate evenly spaced x values

y = 1 ./ (25 + x.^2).^1.5;  % Evaluate the function at x

approximation = h * (sum(y) - (y(1) + y(end)) / 2);  % Trapezoidal Rule approximation

fprintf('Approximation: %.6f\n', approximation);

```

1. We define the lower limit `a` as -2, the upper limit `b` as 2, and the number of subintervals `n` as 1000 (you can adjust `n` for higher accuracy).

2. We calculate the step size `h` by dividing the range (`b - a`) by the number of subintervals (`n`).

3. We generate an array `x` of evenly spaced values from `a` to `b` using the step size `h`.

4. We evaluate the function `f(x)` at each point in `x` and store the results in the array `y`.

5. Finally, we use the Trapezoidal Rule formula to approximate the integral by summing the values in `y` and adjusting for the endpoints, multiplying by the step size `h`.

The Trapezoidal Rule approximation for the integral of the function \(f(x) = \frac{1}{{(25+x^2)}^{\frac{3}{2}}}\) from -2 to 2 is the value calculated using the MATLAB code above.

To know more about Trapezoidal Rule  follow the link:

https://brainly.com/question/28592530

#SPJ11

Step-by-step explanation:

p = 2(L+W)

98 < 2(x-2cm + 3x+5cm)

98 < 2x - 4 + 6x + 10

98 < 2x + 6x -4 +10

98 < 8x + 6........the inequality

98 - 6 < 8x

92 < 8x

11.5 < x.......the value of x

The statement "if the feasible set is unbounded, changing its right side can cause it to have a limited optimum" is FALSE.

Therefore, the statement "if p is unbounded, changing its right side can cause it to have a limited optimum" is FALSE.

Know more about a feasible unbounded set here:

https://brainly.com/question/15519547

#SPJ4

Answer:

The surface area of a solid object like a paperweight is calculated by adding the areas of all its faces. In this case, the paperweight is like a hexagonal pyramid, with a hexagonal base and six triangular sides. The base area has already been given as 93.6 square centimeters.

The six triangles are isosceles triangles, since the base of each triangle is a side of the hexagon, and the slant height is the same for each triangle.

The area of an isosceles triangle is given by the formula:

Area = 1/2 * base * height

For these triangles, the base is 6 cm (side length of the hexagon), and the height is the slant height, which is 12 cm.

So the area of one triangle is:

Area = 1/2 * 6 cm * 12 cm = 36 square cm

Since there are six such triangles, the total area of the triangular faces is:

6 * 36 square cm = 216 square cm

So, the total surface area of the paperweight is the area of the base plus the area of the six triangular faces, or:

93.6 square cm (base) + 216 square cm (sides) = 309.6 square cm

So the surface area of the paperweight is 309.6 square cm.

False. Line charts are best suited for representing data that follows a sequential order, such as time series data. Nonsequential data is better represented by other types of charts, like scatter plots or bar graphs.

Line charts are graphical representations of data points connected by lines. They are commonly used to display trends over time or sequential data. For example, they are often used to show the change in stock prices over a period of time or the temperature variations throughout the day. This sequential order is the key feature of line charts.

However, for data that does not follow a sequential order, line charts may not be the best choice. Nonsequential data, such as categorical or unrelated data points, are better represented by other types of charts. Scatter plots, for instance, are useful for showing the relationship between two variables that are not necessarily ordered. Bar graphs can also be used to compare nonsequential data points in different categories.

In summary, line charts are not best suited for representing data that follows a nonsequential order. They are most effective when used to display data that has a clear sequential relationship, allowing for easy interpretation of trends and patterns.

To know more about Sequential visit.

https://brainly.com/question/32984144

#SPJ11

Answer:

5

Step-by-step explanation:

x^2-7x=30

x^2-7x-30=0

a = 1, b = -7, c = -30

sqrt(b^2-4ac)

sqrt(49+120)

sqrt(169)

13

-b +/- 13

7 + 13 = 20

7 - 13 = -6

2a = 2

20/2 = 10

-6/2 = -3

we know x>0, so it cant be -3. so now its just 10 - 5

Answer:

D

Step-by-step explanation:

because 5x4= 20 and -3×2=-6 so you need it to equal -6 and C20÷C26 you subtract so it gives you -6

I think this is right but I maybe be wrong

Step-by-step explanation:

for both of them is 26-9= 17

for math = 17-15=2

for english = 17-13=4

don't like math or english = 9

In this code, the Steffensen’s method function takes three parameters: f is the mathematical function for which we want to find the root, x₀ is the initial approximation, and tolerance is the desired accuracy.

The Python function that uses Steffensen's Method to approximate the root of a mathematical function is attached below.

The function iteratively applies Steffensen's Method until the desired accuracy is achieved or the maximum number of iterations is reached.

For your specific case, we define the equation function x**3 - x - 1 and set the initial approximation x_initial = 1.5. We choose a tolerance of 1e-4 (10⁻⁴) for the desired accuracy. The function will find the root of the equation x³ - x - 1 = 0 using Steffensen's Method within the interval [1, 2].

Please note that Steffensen's Method may not always converge for every function or initial approximation. In such cases, the function will return None.

To know more about Steffensen’s method here

https://brainly.com/question/33465628

#SPJ4

let's solve :

\(\\ \sf\longmapsto -1+x<-10\)

\(\\ \sf\longmapsto x<-10+1\)

\(\\ \sf\longmapsto x<-9\)

Hence solved

Let there be N number of kernels in the bag.

Given that the number o

The provided solution for the given differential equation appears to be correct. The given differential equation is a second-order linear ordinary differential equation with constant coefficient.

To solve it using classical methods and Laplace transform, we assume zero initial conditions. The characteristic equation for this differential equation is \(s^2 + 2s + 2 = 0\), where \(s\) represents the Laplace variable.

Solving the characteristic equation, we find that it has complex roots: \(s = -1 \pm i\sqrt{3}\). The general solution of the homogeneous part is given by \(x_h(t) = c_1e^{-t}\cos(\sqrt{3}t) + c_2e^{-t}\sin(\sqrt{3}t)\), where \(c_1\) and \(c_2\) are constants determined by initial conditions.

To find the particular solution, we assume a form of \(x_p(t) = A e^{2t}\), where \(A\) is a constant to be determined. Substituting this into the original differential equation, we obtain \(12Ae^{2t} = 5e^{2t}\). Solving for \(A\), we find \(A = \frac{5}{12}\).

The general solution of the non-homogeneous equation is given by \(x(t) = x_h(t) + x_p(t)\), where \(x_h(t)\) is the homogeneous solution and \(x_p(t)\) is the particular solution. Plugging in the values, we get \(x(t) = c_1e^{-t}\cos(\sqrt{3}t) + c_2e^{-t}\sin(\sqrt{3}t) + \frac{5}{12}e^{2t}\).

Thus, the provided solution is correct. It consists of the general solution with the determined constants omitted, as they would depend on the specific initial conditions.

Learn more about Differentiation: brainly.com/question/954654

#SPJ11