how many pattern block triangles would create 2 hexagons

Step-by-step explanation:

please mark me as brainlest

Answer:

11.43 centimeters

Step-by-step explanation:

Given the equivalent ratios :

StartFraction 1 inch Over 2.54 centimeters EndFraction = StartFraction 4.5 inches Over question mark

1 inch / 2.54 cm = 4.5 inch /?

Let missing value = x

1 inch / 2.54 cm = 4.5 inch /x

Cross multiply

1 inch * x = 2.54 * 4.5

1 inch * x = 11.43

x = 11.43 cm

Hence, missing value = 11.43 centimeters

Answer:

it is multiply and 11.43

The value of the constant term (n = 0) of the power series representation. Therefore, we have found the power series representation of f(x) centered at the origin.

A power series is a mathematical series that can be represented by a power series centered at some specific point. A power series is usually written as follows: Sigma is the series symbol, and an and x is the sum of the terms. In this problem, we need to find the power series representation of the given function f(x) = 1/(7 − x)² centered at the origin.

A formula for the power series representation is shown below: f(x) = Σn=0∞ (fⁿ(0)/n!)*xⁿLet us start by finding the first derivative of the given function: f(x) = (7 - x)^(-2) ⇒ f'(x) = 2(7 - x)^(-3)

Now, we will find the nth derivative of f(x):f(x) = (7 - x)^(-2) ⇒ fⁿ(x) = (n + 1)!/(7 - x)^(n + 2)Therefore, we can write the power series representation of f(x) as follows: f(x) = Σn=0∞ (n + 1)!/(7^(n + 2))*xⁿ

To check if this representation is centered at the origin, we will substitute x = 0:f(0) = 1/(7 - 0)² = 1/49, which is indeed the value of the constant term (n = 0) of the power series representation.

Therefore, we have found the power series representation of f(x) centered at the origin.

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Answer:

85

Step-by-step explanation:

i useed the formula LxWxH

i came up with 85

5x5x3.5

Answer:

65 percent

Step-by-step explanation:

50 and is for sale at 32.50 dollars

ok to now this

32.5/50=0.65 multiply by 100

65 percent

The measurement is closest to the value of y in units is 14.808. there was calculate by using trigonometry.

Given:

Z = 12

Using trigonometry

tan51 = P/X

1.234 =  P/ 12

P = 12 x 1.234

P = 14.808.

Hence, the measure of y is 14.808.

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A 98% confidence interval for the proportion of New York state union members who favor the Republican candidate is constructed using: p ± zsqrt(p(1-p)/n). Substituting, we get (0.3051, 0.4416), or approximately (a) 0.304p0.442.

To construct a 98% confidence interval for the true population proportion of all New York state union members who favor the Republican candidate, we can use the following formula:

p ± z*sqrt(p*(1-p)/n)

where p is the sample proportion, n is the sample size, and z* is the critical value from the standard normal distribution corresponding to a 98% confidence level, which is approximately 2.33.

Substituting the values from the problem, we get:

p ± 2.33*sqrt(p*(1-p)/n)

p = 112/300 = 0.37333

n = 300

Substituting these values, we get:

0.37333 ± 2.33*sqrt(0.37333*(1-0.37333)/300)

Simplifying, we get:

0.37333 ± 0.0682

Therefore, the 98% confidence interval for the true population proportion of all New York state union members who favor the Republican candidate is:

(0.3051, 0.4416)

Rounding to three decimal places, the answer is (a) 0.304p0.442.

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Step-by-step explanation:

Equation of a straight line

y = mx + c, m is the slope, and c the intercept

points (3,7) x = 3, y = 7, c = 1

7 = m × 3 + 1

7 = 3m + 1

3m = 7 - 1

3m = 6

m = 6/3

m = 2

Explanation: I would use the substitution method for this system

because one of the variables, x, is already isolated in the first equation.

Since our first equation states that x = 12 - y, 12 - y can be substituted

in for x in the second equation which becomes 2(12 - y) + 3y = 29.

Now we can solve this equation by first distributing the 2

through the parentheses to get 24 - 2y + 3y = 29 and you

should be able to easily finish solving from here to get y = 5.

Now substitute a 5 back in for the first equation to get

x = 12 - (5) or x = 7 which means that our solution is (7, 5).

Answer:

Step-by-step explanation:

h(x) = 2

Look at the picture.

h(-1) = 2 and h(-3) = 2

Answer:

The lines on the graph are too faint to read.  But the question wants to know what value of x is required for the function to return a 2 in the calculation.  We don't have the equation, but the graph will tell us those points.  Find all cases in which the graph passes through a line drawn horizontally through the y = 2 mark.  I can't read the graph to find them.

Step-by-step explanation:

In this question, we want to find product that is, the product of complex numbers is (4 + 3i)(4 - 3i) is 25 + 12i.

To find the product of (4 + 3i)(4 - 3i), we can use the formula for multiplying complex numbers:

(a + bi)(c + di) = (ac - bd) + (ad + bc)i,

where a, b, c, and d are real numbers.

In this case, a = 4, b = 3, c = 4, and d = -3.

Substituting these values into the formula, we have:

(4 + 3i)(4 - 3i) = (4 * 4) - (3 * -3) + (4 * -3) + (3 * 4)i

= 16 + 9 - 12 + 12i

= 25 + 12i.

Therefore, the product of (4 + 3i)(4 - 3i) is 25 + 12i.

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Answer:

1/2 is 0.5 so -1/2=-0.5

-0.5 is greater than -1

use a number line

Step-by-step explanation:

By looking at the number line we can easily tell which integers are greater (larger) than a certain number and which are less (smaller) than the number. When two numbers are located on a number line, the number to the right is larger than the number to the left. –1 is less than –1/2 because it is to the left of –1/2.

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I belive it is assets

Allysa will need 2 cubic feet of clay to create a square pyramid with a base that is 2 feet wide and a 1.5-foot height.

A pyramid's volume can be calculated using the formula V = (1/3) Bh, where "B" stands for the base area and "h" for the height of the pyramid. We can use the formulas for the area of polygons to calculate "B" because we know that any polygon can serve as a pyramid's base.

Length of the base = 2 feet

width of the base = 2 feet

Height of the pyramid = 1.5 feer

volume of the pyramid = length * width * height/3

                                      =  2 * 2* 1.5 /3

                                      = 4 *0.5

the volume of the pyramid  = 2 cubic feet

Allysa will need 2 cubic feet of clay to create a square pyramid with a base that is 2 feet wide and a 1.5-foot height.

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The statement follows by induction, and T(n) = n log n when n = 2k for some positive integer k.

To prove that T(n) = n log n using induction, we will follow these steps:

Base case: Show that the statement holds true for the smallest possible value of n (n = 2).
Inductive hypothesis: Assume the statement is true for some arbitrary positive integer k (n = 2k).
Inductive step: Prove that the statement is true for n = 2(k+1) using the inductive hypothesis.

Base case
Given that T(n) = 2 when n = 2, we can verify that T(2) = 2 log 2:

T(2) = 2
2 = 2 * log_2(2)
2 = 2 * 1
2 = 2

Thus, the base case holds true.

Inductive hypothesis
Assume T(n) = n log n for n = 2k, where k is a positive integer.

Now, we will prove that T(2(k+1)) = 2(k+1) log(2(k+1)).

Using the given equation T(n) = 2T(n/2) + n, we have:

T(2(k+1)) = 2T((2(k+1))/2) + 2(k+1)

T(2(k+1)) = 2T(k+1) + 2k + 2

Now, we apply the inductive hypothesis to T(k+1), so T(k+1) = (k+1) log(k+1):

T(2(k+1)) = 2((k+1) log(k+1)) + 2k + 2

T(2(k+1)) = 2(k+1) log(k+1) + 2k + 2

Now, we need to show that this expression is equal to 2(k+1) log(2(k+1)):

2(k+1) log(2(k+1)) = 2(k+1) log(2) + 2(k+1) log(k+1)

Since log(2) = 1:

2(k+1) log(2(k+1)) = 2(k+1) + 2(k+1) log(k+1)

Comparing this expression to our previous result:

T(2(k+1)) = 2(k+1) log(k+1) + 2k + 2

We can see that both expressions are equal. Therefore, the statement follows by induction, and T(n) = n log n when n = 2k for some positive integer k.

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By the principle of mathematical induction, the statement T(n) = n log n is true for all positive integers n = 2, 4, 6, ..., 2k, 2k+1, ....

To prove T(n) = n log n using induction, we need to show that the statement is true for the base case (n = 2) and that if it is true for n = 2k, then it is also true for n = 2k+1.

Base case: n = 2

T(2) = 2

2 log 2 = 2

The statement is true for n = 2.

Inductive step: Assume that the statement is true for n = 2k. That is, T(2k) = 2k log 2k.

We need to show that the statement is also true for n = 2k+1. That is, T(2k+1) = (2k+1) log (2k+1).

T(2k+1) = 2T((2k+1)/2) + (2k+1)

= 2T(k+1/2) + (2k+1)

= 2((k+1/2) log (k+1/2)) + (2k+1)

= (k+1) log (k+1) + (2k+1)

= k log (2k) + log (k+1) + 2k + 1

= (k+1) log (2k+2)

= (2k+1) log (2k+1)

Therefore, the statement is true for n = 2k+1.

By the principle of mathematical induction, the statement T(n) = n log n is true for all positive integers n = 2, 4, 6, ..., 2k, 2k+1, ....

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Domain is all real numbers where x does not equal negative 4 comma range is all real numbers where y does not equal negative 11.

The domain refers to the values for which the function is defined. In this case we can properly write the function as;

f(x) = 2x^2 + 5x - 12/ x + 4

Now, given the fact that the domain has to be all the points where the function is continuous and the denominator is non zero we can say that the domain of the function is all real numbers where the x is not -4.

Thus we have that; domain is all real numbers where x does not equal negative 4 comma range is all real numbers where y does not equal negative 11.

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Answer: The answer is A

Step-by-step explanation:

Solution:

Give the following below

To find the cosine function, we will apply the general formula for cosine function below

To find the value of b

Substitute the values of the variables into the general formula for cosine function

Applying a graphing tool,

The graph of one cycle of the function is shown below

If the coefficient of correlation is 0.4, the percentage of variation in the dependent variable explained by the variation in the independent variable is 16%. The correct option is (B)

The percentage of variation in the dependent variable explained by the variation in the independent variable can be determined using the coefficient of correlation.

The coefficient of correlation, often denoted as "r," measures the strength and direction of the linear relationship between the variables.

For the percentage of variation explained, we square the coefficient of correlation (r) and multiply it by 100.

This represents the proportion of the variation in the dependent variable that can be attributed to the variation in the independent variable.

We have that the coefficient of correlation is 0.4, we calculate the percentage of variation explained:

Percentage of variation explained = (r^2) * 100

                               = (0.4^2) * 100

                               = 0.16 * 100

                               = 16%

Therefore, the correct answer is: B) 16%.

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Answer:

I don’t know I think it is 1,8 tho

Step-by-step explanation:

Sorry if it’s wrong

Answer:

y= -4x+8 or -4/1x+8

Step-by-step explanation:

8 is the slope and it is positive

Rise over run is Right 4 and down 1 so that is Plus 4 and negative 1

At fully developed velocity, the velocity does not change in the flow direction, and the velocity profile is fully established

The velocity at any point across the channel is constant, and the profile remains the same regardless of time. This is due to the presence of viscous forces that damp out any turbulence generated in the fluid.

As fluid flows in a channel, the flow velocity changes from zero at the walls to a maximum value at the center of the channel. This velocity distribution is called the velocity profile. The velocity profile is not a straight line due to viscous effects that create a boundary layer at the walls that resists flow.

The boundary layer slows down the flow at the walls, causing a velocity gradient that increases the velocity from zero at the wall to a maximum value at the channel center.The velocity profile will take time to fully develop as the fluid establishes a steady state in the channel. This means that the velocity at any point across the channel is constant, and the profile remains the same regardless of time.

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Answer:

12

Step-by-step explanation:

The 3rd degree polynomial equation 2 x³ -16 = 0 has 1 real solution x₁=2 and two imaginary solutions x₂= -1 + √3 i and x₃= -1 - √3 i

The given equation is:

2 x³ -16 = 0

This is a 3rd degree polynomial equation.

Divide both sides by 2, we get:

x³ - 8 = 0

Add both sides with 8:

x³ = 8

Root characteristics: If a 3rd degree polynomial equation has the form

x³ = b

Then, it has 1 real solution and 2 imaginary complex conjugate solutions.

Furthermore,

x₁ = ∛b

x₂,₃ = ½.∛b (-1± √3 i)

Apply this to the given problem, we have:

x₁ = ∛8 = 2

x₂ = ½. 2 (-1 + √3 i) = -1 + √3 i

x₃ = ½. 2 (-1 - √3 i) = -1 - √3 i

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If you realize that you've made a mistake after the fact, the first thing to do is to acknowledge it.

This means accepting responsibility for your actions and recognizing that you could have done better. Once you've done this, you can take steps to correct the mistake and prevent it from happening again in the future.

If your mistake has affected other people, it's important to apologize. Be sincere and acknowledge the impact your actions have had on others. This can help to repair any damage done to relationships and show that you're taking responsibility for your actions.

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Step-by-step explanation:

47kg of potatoes is $517

That means 1kg of potatoes is 517/47 = $11.

$154 / $11 = 14.

Hence with $154, you can get 14 kilograms of potatoes.

We know that

• She paid $124 for concert tickets.

To find the answer to 7 concert tickets, we have to use a proportion.

We solve for x.

The equation of the line that is perpendicular to line m and passes through the point (3, 2) is y = (2/5)x + 4/5.

To find the equation of a line that is perpendicular to line m, we need to know the slope of line m.

The slope of line m can be found using the two given points on the line, (0, -3) and (-2, 2):

slope of line m = (change in y) / (change in x) = (2 - (-3)) / (-2 - 0) = 5 / (-2) = -5/2

A line perpendicular to m will have a slope that is the negative reciprocal of -5/2. The negative reciprocal is obtained by flipping the fraction and changing its sign.

slope of line perpendicular to m = -1 / (-5/2) = 2/5

Now we have the slope of the line perpendicular to m and a point that it passes through, (3, 2). We can use the point-slope form of the equation of a line to find its equation:

y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Substituting in the values we have:

y - 2 = (2/5)(x - 3)

Simplifying:

y - 2 = (2/5)x - (6/5)

y = (2/5)x - (6/5) + 2

y = (2/5)x + 4/5

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The radius of convergence of the series ∑(cn + dn)Xⁿ  is at least 5.

Thus, we can say that both series converge absolutely for |x| < 5 and |x| < 6, respectively.The radius of convergence of a series is defined as the distance from the center of the series to the closest point where the series converges.

The radius of convergence for the series

∑(cn + dn)Xⁿ

can be determined using the following formula:

R = \(\frac{1}{\lim\limits_{n\to\infty} \sup \sqrt[n]{|c_n + d_n|}}\)

Here, cn and dn are the nth terms of the respective series. The limit superior is taken as n approaches infinity.To simplify the calculation, we can take the larger of the two radii of convergence.

∑(cn + dn)Xⁿ

is at least 5 since it is less than or equal to the radius of convergence of the series ∑dn^xⁿ .

Therefore, we can say that the radius of convergence of the series ∑(cn + dn)Xⁿ is at least 5.

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Answer:

Step-by-step explanation:

<B = 360 - <A

<B = 360 - 170

<B = 190

There are two angles present, depending on which way you look at it. One is larger than 180 (the one we found) and the other is slightly less than 180 (the one you gave us).