Given:
CD CB CA CE   and
Prove:
   A E
You may use any style proof you prefer.

Answer:

SOHCAHTOA.

Step-by-step explanation:

acronym is an abbreviation formed from the initial letters of other words and pronounced as a word

The acronym for sin cosine and tangent is

SOHCAHTOA

Sine =Opposite over Hypotenuse

Cosine= Adjacent over Hypotenuse

Tangent= Opposite over Adjacent

Answer:

\(2\sqrt{x}\)

Step-by-step explanation:

If \(\sqrt{x}\) is odd number then by definition \(2\sqrt{x}\) must be even number. correct option is option D.

When two variables vary directly they follow the next:

k is a constant.

Use the given data: when x=48, y=36 o find the value of k:

Then, x and y vary directly following the next equation:

Use the equation above to find x when y=18:

Answer: -12

Step-by-step explanation: To divide (84) ÷ (-7), remember that

a positive divided by a negative is a negative.

So (84) ÷ (-7) is -12.

Answer :

The solutions to the equation √(2)x + 13 - 5 = x are:
x = -16 or x = -8.

A quadratic equation is a polynomial equation of the second degree, which means the highest power of the variable (usually represented by "x") is 2. It can be written in the general form: ax^2 + bx + c = 0

where "a," "b," and "c" are constants, and "a" is not equal to 0. The constants "a," "b," and "c" determine the specific coefficients and values of the quadratic equation.

To solve the equation sqrt(2)x + 13 - 5 = x, we need to isolate the variable x on one side of the equation.
First, we can simplify the left side by combining the constant terms:
√(2)x + 8 = x
Next, we can eliminate the square root by squaring both sides of the equation:
(√(2)x + 8)^2 = x^2
Expanding the left side using FOIL, we get:
2x^2 + 32x + 64 = x^2
Subtracting x^2 from both sides, we get:
x^2 + 32x + 64 = 0
Now we have a quadratic equation that we can solve using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a = 1, b = 32, and c = 64. Substituting these values into the formula, we get:
x = (-32 ± √(32^2 - 4(1)(64))) / 2(1)
Simplifying the square root, we get:
x = (-32 ± √(576)) / 2
x = (-32 ± 24) / 2
x = -16 or x = -8.

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Answer: b would be the answer

Step-by-step explanation:

The requried solution to the equation is x = -3/5.

To solve the equation, we need to simplify and isolate the variable x on one side of the equation.

Starting with:

-3x + 8x - 5 = -8

Combining like terms on the left side, we get:

5x - 5 = -8

Adding 5 to both sides, we get:

5x - 5 + 5 = -8 + 5

Simplifying, we get:

5x = -3

Finally, dividing both sides by 5, we get:

x = -3/5

Therefore, the solution to the equation is x = -3/5.

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Answer:

38

Step-by-step explanation:

Since he wants to have equal number of rows and columns..the number of plants must be a root number. 6203 is not a root number. 6241 is the closest root number

(√6241= 79)

So he needs a minimum of 6241 plants in total for it.

6241-6203= 38

Therefore he needs 38 more plants

Answer:

it should be 4 3/8 but sorry if it's wrong <3

Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.


To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.

To achieve a reduction of 5 weeks, we can consider several strategies:

1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.

2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.

3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.

4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.

It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.

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Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation: Experimental probability is

A number of favourable outcomes / Number of possible outcomes soo...

I think it should be 2*5/6*20 = 10/120

which is       1/12.  :). BTW * MEANS MULTIPLY

Answer:b is your answer

Step-by-step explanation:

Answer:2/8, 0.3215, 9/16, 0.75

Step-by-step explanation:

2/8 = 0.25  0.3215 is higher then 9/16 =0.5625 next is 0.75

Answer:

21

Step-by-step explanation:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

AD        AH

-----  =  ---------

AB         AH +y

3        9

---- = ------

10         9+y

Using cross products:

3(9+y) = 9*10

27+3y = 90

3y = 90-27

3y =63

y = 63/3

y = 21

Answer:

y = 21

Step-by-step explanation:

According to the Side Splitter Theorem, if a line parallel to one side of a triangle intersects the other two sides, then this line divides those two sides proportionally.

Therefore, according to the Side Splitter Theorem:

\(\boxed{\sf AD : DB = AH : HC}\)

From inspection of the given triangle, the lengths of the line segments are:

To find the value of y, substitute the given line segment lengths into the proportion and solve for y:

\(\begin{aligned}\sf AD : DB &=\sf AH : HC\\\\3:7&=9:y\\\\\dfrac{3}{7}&=\dfrac{9}{y}\\\\3 \cdot y&=9 \cdot 7\\\\3y&=63\\\\\dfrac{3y}{3}&=\dfrac{63}{3}\\\\y&=21\end{aligned}\)

Therefore, the value of y is 21.

The formula for the volume of a rectangular prism is \(V = whl\), where \(V\) is the volume, \(w\) is the width, \(h\) is the height, and \(l\) is the length. We can calculate the volume by substituting our values into this formula and solving.

\(V = 12 \cdot 2 \cdot 3\\V = 72\)

So, our answer is \(\boxed{72 \text{ ft}^2}\).

If the question is asking you for the number of cubes that we can fit, we replace each length with cubes that are \(1 \cdot 1 \cdot 1 \text{ ft}^3\), which are the largest cubes you can fit without overlap, you fit 72 cubes in the prism, each of length \(1 \text{ ft}\).

The sample tensile strength of fiber specimens will be greater than 75.75 psi in 43.25 percent of cases.

Z-score: Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean. Standard deviation is essentially a reflection of the amount of variability within a given data set.

given that a synthetic fiber used in manufacturing carpet has a tensile strength that is normally distributed with a mean 75.5 psi and standard deviation 3.5 psi

z = (raw score - mean) / (sample standard deviation - standard deviation)

n = 6; mean=75.5 psi; standard deviation=3.5 psi.

For (greater than) > 75.75,

z = (75.75 - 75.5) / (3.5 ÷√6) = 0.17

P(z > 0.17) = 1 - P(z < 0.17) = 1 - 0.5675 = 43.25%

The sample tensile strength of fiber specimens will be greater than 75.75 psi in 43.25 percent of cases.

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Answer:

i would say the answer is  (b) 40

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Central Limit Theorem

The central limit theorem says that the sampling distribution of the mean will always be normally distributed, as long as the sample size is large enough

Answer:

it's b

Step-by-step explanation:

the reason it's b is because conduction happens when something hot comes in contact with something cold which heats the cold thing up and cooling the hot thing eventually they will both be room temperature

Answer:

Step-by-step explanation:

2(7-w)

14 - 2w

14-2w

distribute the 2 to the 7 and the w

(2x7)-(2xw)

14-2w

Answer:

The answer is 64

Step-by-step explanation:

They are both congruent so they are both 180. 180 +180= 360 so if you do 62*2 and 54*2 and add those to together and then subtract from 360 you'll then have to divided the number you got by 2 and you should come out with 64

Answer:

its 64 :(

because if you do it the long way and complicated way that the other person did it would be 64

Answer:

-4-26=6x-x   or,-30=5x Therefore , x=-6

Step-by-step explanation:

Step-by-step explanation:

\(x-4=6x+26\)

\( \longrightarrow \: x - 6x = 26 + 4\)

\(\longrightarrow \: - 5x = 30\)

\(\longrightarrow \: - x = \frac{30}{5} \)

\(\longrightarrow \fcolorbox{green}{red}{ x = - 6}\)

To prove that the x = -6

putting the value of x

\(x-4=6x+26\)

\(\longrightarrow \: ( - 6) - (4) = 6 \times ( - 6) + 26\)

\(\longrightarrow \: - 10 = - 36 + 26\)

\(\longrightarrow \: - 10 = - 10\)

\(\longrightarrow \fcolorbox{blue}{green}{ LHS=RHS }\)

hence its proved

Answer:

Explanation:

you mean the hypotenuse* lol

the hypotenuse = √(11²+9²)

the hypotenuse = √(121+81)

the hypotenuse = √(202)

the hypotenuse ≈ 14.21 cm

Answer:

B) (-2,6)

Step-by-step explanation:

Where do the two lines intersect? That is where the solution is.

Hope this helps

Answer:

I believe the answer B ( I think)

The power series expansion of f(z) around z0 = i is f(z) = 1 – (z - i) + (z - i)^2/2 - ..., with radius of convergence R1 = 1.

* The power series expansion of g(z) around z0 = i is g(z) = 1/2 - (z - i)/6 + ..., with radius of convergence R2 = 1/2.

* The series obtained in (b) is conditionally convergent at z0 + R2, z0 + 2iR2, and z0 - 2iR2.

**(a)** The power series expansion of f(z) around z0 = i is

f(z) =\(1 – (z - i) + (z - i)^2/2 - ...\)

The radius of convergence of this series is R1 = 1, because the series is a geometric series with first term 1 and common ratio –1.

**(b)** The Cauchy product formula states that the product of two power series is the sum of the series obtained by taking the product of corresponding terms. In this case, we have

g(z) = f(z) * f(z - i)

The power series expansion of f(z - i) around z0 = i is

f(z - i) = 1 – (z - i) + (z - i)^2/2 - ...

The product of these two series is

g(z) = 1 – (z - i) + (z - i)^2/2 - (z - i)^2 + (z - i)^3/2 - ...

The radius of convergence of this series is R2 = 1/2, because the series is a geometric series with first term 1 and common ratio –(z - i).

**(c)** The series obtained in (b) is conditionally convergent at z0 + R2, z0 + 2iR2, and z0 - 2iR2, because the series has alternating terms, but the limit of the absolute value of the terms does not go to 0 as the degree of the terms goes to infinity.

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a.The power series expansion around z₀ = i is

f(z) = ∑[n=0 to ∞] (1/2)(1/2 + 1)(1/2 + 2)...(1/2 + n-1) × \((-(z - 1))^(n/2)\)

b.The radius of convergence R₂ of this series can also be determined using the ratio test or the root test.

c.The behavior of the series at each point will depend on the specific values of z₀ and R₂ determined in parts (a) and (b).

(a) To find the power series expansion of f(z) around z₀ = i, we can express f(z) as a geometric series and then manipulate it to match the form of a power series.

f(z) = \((z - 1)^(1/2) / 1\)= \(((z - 1)^(1/2))\) × (1 / (1 - 0))

Using the binomial series expansion for (1 - t)^(-1/2), we have:

\((1 - t)^(-1/2) = 1 + (1/2)t + (1/2)(3/2)(t^2) + (1/2)(3/2)(5/2)(t^3) +\) ...

Substituting t = z - 1, we obtain:

f(z) = \((z - 1)^(1/2)\) / 1 = \(((z - 1)^(1/2))\) × (1 / (1 - 0))

     =  \(((z - 1)^(1/2))\) × (1 / (1 - 0))

     = (1 -  \(((z - 1)^(1/2))\) × (1 + 0 + 0 + ...)

The power series expansion around z₀ = i is then:

f(z) = ∑[n=0 to ∞] (1/2)(1/2 + 1)(1/2 + 2)...(1/2 + n-1) × \((-(z - 1))^(n/2)\)

The radius of convergence R₁ of this series can be determined using the ratio test or the root test.

(b) Using the result from part (a), we can find the power series expansion of g(z) by applying the Cauchy product formula.

g(z) = f(z) × f(z)

     = ∑[n=0 to ∞] (1/2)(1/2 + 1)(1/2 + 2)...(1/2 + n-1) × \((-(z - 1))^(n/2)\) × ∑[k=0 to ∞] (1/2)(1/2 + 1)(1/2 + 2)...(1/2 + k-1) ×\((-(z - 1))^(k/2)\)

By multiplying the corresponding terms and collecting like terms, we can determine the coefficients of the resulting power series.

The radius of convergence R₂ of this series can also be determined using the ratio test or the root test.

To compare R₁ and R₂, we need to calculate their values separately.

(c) To determine if the series obtained in part (b) is conditionally convergent, absolutely convergent, or divergent at specific points, we need to substitute those points into the series and analyze their convergence properties. The points to consider are z₀ + R₂, z₀ + 2iR₂, and z₀ - 2R₂.

By substituting these points into the series, we can check if the series converges or diverges. The behavior of the series at each point will depend on the specific values of z₀ and R₂ determined in parts (a) and (b).

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Hey there!

Easy word problem

Since there are 84 students total and their goal is to collect 16 cans

We multiply

=> 84 × 16 ⇒ 1,344

Therefore, 1,344 cans will be collected in all if each fifth-grader achieves the goal

The correlation coefficient ρ for X and Y is ρ = -0.6675 in the given function.

The correlation coefficient is a statistical concept that aids in establishing a relationship between expected and actual values obtained through statistical experimentation. The calculated correlation coefficient's value explains why the difference between the predicted and actual values is so exact.

Correlation Coefficient value is always in the range of -1 to +1. A similar and identical relationship exists between the two variables if the correlation coefficient value is positive. Otherwise, it reveals how differently the two variables behave.

Pearson's correlation coefficient is calculated by taking the covariance of two variables and dividing it by the sum of their standard deviations. is typically used to represent it (rho).

The correlation coefficient is computed as,

\($ \rho & =\frac{{Cov}(X, Y)}{\sqrt{V(X)} \times \sqrt{V(Y)}}\)

\($=\frac{-0.0267}{\sqrt{0.04} \times \sqrt{0.04}}\)

= -0.6675

Thus, the correlation coefficient ρ for X and Y is ρ = -0.6675.

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