Name the triangle shortcut in the picture.
O SSS
OSAS
O ASA
O AAS
OHL
O cannot be determined

Answer:

The number of hours and weeks start at (0,0). This is a strong positive association. The numbers of hours is increased by 3 each week. The graph is moving upward, which means it is positive, and it is not scattered and strong.

The equation and interpret the slope is given below.

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

The number y of hours of cello lesson time you take after x weeks is represented by the equation y=3x graph

now,

The number of hours and weeks start at (0,0). This is a strong positive association. The numbers of hours is increased by 3 each week. The graph is moving upward, which means it is positive, and it is not scattered and strong.

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Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

The greatest common factors (GCF) of the given sets of numbers are  

                                 GCF

(24 + 32 + 12)               4

(88 + 28 + 32)               4

(12 + 10 + 36)                 2

(20 + 8 + 36)                 4

(14 + 28 + 22)                2

(26 + 24 + 20)               2

From the question, we are to identify the greatest common factors of the given sets of numbers

The greatest common factor of 24, 32 and 12 is 4

The greatest common factor of 88, 28 and 32 is 4

The greatest common factor of 12, 10 and 36 is 2

The greatest common factor of 20, 8 and 36 is 4

The greatest common factor of 14, 28 and 22 is 2

The greatest common factor of 26, 24 and 20 is 2

Hence, the greatest common factors (GCF) of the given sets of numbers are  

                                 GCF

(24 + 32 + 12)               4

(88 + 28 + 32)               4

(12 + 10 + 36)                 2

(20 + 8 + 36)                 4

(14 + 28 + 22)                2

(26 + 24 + 20)               2

Here is the complete question:

Identify the GCF of each expression as 2 or 4.

(24 + 32 + 12)

(88 + 28 + 32)

(12 + 10 + 36)

(20 + 8 + 36)

(14 + 28 + 22)

(26 + 24 + 20)

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The corresponding z-score is -1.80 (rounded to two decimal places).  The x value corresponding to z = -0.25 is x = μ - 1.697 = μ - 1.80 * (12 / sqrt(50)).

To find the x value corresponding to z = -0.25, we need to use the standard normal distribution table or calculator. First, we calculate the z-score:
z = (x - μ) / (s / sqrt(n))
where μ is the population mean (which we don't know), s is the sample standard deviation, n is the sample size, and x is the value we want to find. Rearranging this formula, we get:
x = μ + z * (s / sqrt(n))
Substituting the given values, we get:
x = μ + (-0.25) * (12 / sqrt(50))
x = μ - 1.697
Now we need to find the corresponding value of x from the standard normal distribution table or calculator. Looking up -1.697 in the table, we find that the corresponding area is 0.0445. Since we're looking for the left-tail area (z < 0), we subtract this area from 0.5 (the total area under the curve):
0.5 - 0.0445 = 0.4555
Looking up 0.4555 in the table (or using a calculator), Therefore, the x value corresponding to z = -0.25 is:
x = μ - 1.697 = μ - 1.80 * (12 / sqrt(50))

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The meaning of the rate of change in the context of this problem is 4/7.

P-8 / p(14)

8p / p(14) =4/7

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In addition to decreasing , solubility, and permeability, cross-linking improves polymer strength, stiffness, and temperature resistance.

The process of creating chemical linkages between polymer molecules to form a three-dimensional network is known as cross-linking. The polymer is stronger and more rigid thanks to this network of molecules, which also boosts its resistance to heat and chemicals. In addition to increasing the polymer's durability and resistance to environmental changes, cross-linking also decreases the polymer's flammability, solubility, and permeability. The polymer becomes more stable and less prone to deformation as a result of cross-linking, which also raises the melting point of the polymer. A polymer's characteristics can be modified by cross-linking to fit the needs of certain applications. For instance, cross-linking might be to boost a polymer's strength to satisfy. For example, cross-linking can be employed to make a polymer stronger to fulfil the demands of a particular application or less flammable to make it safer to use. In a variety of sectors, cross-linking is a crucial component of polymer chemistry and polymer engineering.

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The solutions of x are :   −2.5±i√17.758

Given,

3 / x²-1 + 4 x / x+1 = 1.5 / x-1

Now,

To get the solutions of x simplify the above equation,

3/(x-1)(x+1) + 4x/ x+1 = 1.5/(x-1)

Take LCM in LHS,

3 + 4x(x-1)/(x-1)(x+1) = 1.5/(x-1)

From the denominator of LHS and RHS x-1 will be cancelled out .

3 +4x(x+1)/(x+1) = 1.5

Now cross multiply,

3 +4x(x+1) = 1.5(x+1)

Now open the brackets,

3 + 4x² + 4x = 1.5x + 1.5

Combine like terms,

4x² + 2.5x + 1.5 = 0

Using the quadratic formula:

x = [-b ± √b² -4ac ] / 2a

Here,

a = 4

b = 2.5

c = 1.5

Substitute the values in the formula.

The values of x :  −2.5±i√17.758

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the equation of the line tangent to f(x) = -2sin(x) at x = 34π is y = -2x + 68π + 2sin(34π).

To find the equation of the line tangent to the function f(x) = -2sin(x) at x = 34π, we need to find the slope of the tangent line at that point, and then use the point-slope form of the equation of a line.

The slope of the tangent line is equal to the derivative of the function at x = 34π. We can find the derivative of f(x) using the chain rule:

f'(x) = -2cos(x)

Therefore, f'(34π) = -2cos(34π) = -2.

This means that the slope of the tangent line is -2 at x = 34π.

To find the equation of the tangent line, we also need a point on the line. Since the tangent line passes through the point (34π, f(34π)), we can use this point as the point-slope form of the equation of the line:

y - f(34π) = m(x - 34π)

Substituting the values we have found, we get:

y - (-2sin(34π)) = -2(x - 34π)

Simplifying, we get:

y = -2x + 68π + 2sin(34π)

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Answer:54

Step-by-step explanation: You simply minus $66 from $120. I am fairly sure that i am right. If my answer is wrong, then please forgive me.

the volume of the prism is

V=L*W*H

we have

L=2

W=1 1/2=1+1/2=3/2

H=1 1/2=1+1/2=3/2

substitute

V=(2)(3/2)(3/2)

V=9/2 units3

V=8/2+1/2=4+1/2=4 1/2 units3

The given equation is y = 4^(x2–2x+5).To find the tangent line to the curve at x = 4, differentiate the given function with respect to x and find the slope of the tangent at x = 4.

Given function is y = 4^(x2–2x+5). In order to find the equation of the tangent line to the curve at x = 4, we need to differentiate the given function with respect to x and find the slope of the tangent at x = 4. Then we use the point-slope form of the equation to find the equation of the tangent line.The process of finding the equation of the tangent line to the curve is by first differentiating the given function.

We differentiate the given function as follows:d/dx(y) = d/dx[4^(x2–2x+5)] => d/dx(y) = 4^(x2–2x+5) * d/dx[x2–2x+5]

=> d/dx(y) = 4^(x2–2x+5) * [2x - 2]When x = 4,d/dx(y) = 4^(42–2*4+5) * [2*4 - 2]

=> d/dx(y) = 4^(5) * [6]

=> d/dx(y) = 6 * 1024

The slope of the tangent at x = 4 is: m = 6 * 1024

The point is: (4, y)We substitute the values in the point-slope form of the equation of the line:y - y1 = m(x - x1)

=> y - y1 = m(x - 4)

=> y - y1 = 6 * 1024 (x - 4)

Where x1 = 4, y1 = 4^(42–2*4+5)

=> y1 = 4^(5)

=> y1 = 1024

Therefore, the equation of the tangent line to y = 4^(x2–2x+5) at x = 4 is y - 1024 = 6 * 1024 (x - 4).

Therefore, we can conclude that the equation of the tangent line to y = 4^(x2–2x+5) at x = 4 is y - 1024 = 6 * 1024 (x - 4).

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Answer:

A

Step-by-step explanation:

Answer:

54.3

Step-by-step explanation:

since it is mentioned 54.3223, then u should see the two decimal places as they are asking to round it off to one decimal place. so we should see 54.32 only

if the second decimal is less than 5, then you should write the first decimal as it is like the above mentioned question (remember we are only supposed to mention one decimal place)

but if it is 5 or more, then you should move the first decimal to the next number. for example, 54.678. for this you should write 54.7 because the second decimal is more than 5

if they are asking to round it off to 3 places then you should see 4 decimal places

you're welcome....

The angles formed by the bisector are equal in measure, adjacent, supplementary, form a linear pair, and are congruent.

When a line bisects an angle, it divides the angle into two equal parts. The resulting angles have several properties

They have equal measures: The two angles formed by the bisector have the same degree measurement.

They are adjacent: The two angles share a common side and vertex.

They are supplementary: The sum of the two angles formed by the bisector is 180 degrees.

They form a linear pair: The two angles, together with the adjacent angle on the other side of the bisector, form a straight line or a linear pair.

They are congruent: The two angles formed by the bisector are congruent to each other.

These properties are useful in solving problems involving angle bisectors in geometry.

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I have solved the question in general, as the given question is incomplete.

The complete question is:

What are some properties of the angles formed by the bisector?

Answer:

Yes

Step-by-step explanation:

In the family the blue eyed people may have had a gene with brown eyes. So if both parents carry that gene even if they don't display it, it can be still shown because brown eyes are the most dominant trait.

BR Elder 1: BL  BR     BL Elder 2: BL BL   BL Elder 1: BL BL   BL Elder 2: BR BL

              I                                  I                                      I                              I

                      I                                                                        I

Parent 1: Blue gene  brown gene          Parent 2: Blue gene brown gene

                                           I                                                                    I

                                                                              I

                                                            Child Brown eyes: BR BL

Because the brown gene is dominant if the gene shows up in both parents the child would be more likely to have brown eyes than blue.

Answer: Its C and E on engenuity

Step-by-step explanation:

The radius is half the diameter.

The volume of the sphere is two-thirds the volume of a cylinder with the same radius and height.

Answer: C, E

Step-by-step explanation: Got it right on edge

Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

Answer:

3x + 15

Step-by-step explanation:

when distributing, multiply the number outside of the parentheses by the numbers inside the parentheses.

Hey there!

3(x + 5)

DISTRIBUTE 3 WITHIN the PARENTHESES

= 3(x) + 3(5)

= 3x + 15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

suree thx

Step-by-step explanation:

Answer:

Uhh. What Do you mean? this is very off topic

Answer:

\((5p - 3) + (2 {p}^{2} - 3p) \\ = 2 {p}^{2} + (5 - 3)p - 3 \\ = 2 {p}^{2} + 2p - 3\)

Answer: the answer is 2p^2+2p−3

Step-by-step explanation:

1. Combine Like Terms: these are 5p and 3p

2. which gives us 2p

3. Always put the squared first and the constant (without any variable last)

which makes 2p^2+2p-3

Answer:

about =502.65

Step-by-step explanation:

To find the inverse of a Laplace transform, one typically uses partial fraction decomposition and partial fraction expansion. Partial fraction decomposition involves breaking down a Laplace transformed function into simpler terms, each with a corresponding inverse Laplace transform. Partial fraction expansion involves using known formulas to find the inverse Laplace transform of these simpler terms.

The "inverse of a Laplace transform" is a mathematical operation that transforms a Laplace transformed function back into its original time domain form. It is a useful tool for solving linear differential equations, as well as for analyzing signals and systems.

The process of finding the inverse of a Laplace transform can also involve using convolution theorem, which states that the inverse Laplace transform of the product of two Laplace transformed functions is equal to the convolution of their respective inverse Laplace transforms. This theorem can be useful for solving systems of differential equations and for understanding the response of linear systems to different inputs.

It's also important to note that not all Laplace transformed functions have an inverse Laplace transform, as some functions may have poles in the right half of the complex plane, meaning they do not converge. In such cases, the inverse of a Laplace transform cannot be found using these methods.

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Answer:

r = 8

hope this helps :)

Answer: 486 sq. feet.

Step-by-step explanation:

Given, w represents the width of the room, such that

. The polynomial (w+2) (2w-5) or \(2w^2- w -10\)gives the new area of any room in the house.

If current width of the kitchen is 16 feet, the put w= 16 in the above expression, we get

Area of the new kitchen = \((16+2) (2(16)-5)\) sq. feet  

\(=(18)(27)=486\text{ sq. feet}\)

Hence, the area of the new kitchen = 486 sq. feet.

Weighing using a tared container is not appropriate due to the potential for errors and inaccuracies. This method can impact the results by introducing uncertainties in the measurements.

Using a tared container involves placing the substance to be weighed on a container that has already been weighed and then subtracting the weight of the container to obtain the weight of the substance alone. While this method is commonly used for qualitative analysis or when the accuracy requirements are not strict, it is not suitable for quantitative preparation where precise measurements are essential.

The use of a tared container introduces several potential sources of error. First, the accuracy of the tare weight might not be exact, leading to uncertainties in subsequent measurements. Additionally, the tare weight may change over time due to factors like evaporation or contamination, further affecting the accuracy of subsequent measurements. Moreover, the process of transferring the substance to the tared container introduces the risk of loss or gain of material, leading to errors in the final measurements.

Overall, relying on weighing with a tared container for quantitative preparation can result in inaccurate quantities of the substance being weighed, compromising the reliability and reproducibility of experimental results. Therefore, more precise weighing techniques, such as using calibrated weighing balances or analytical techniques, should be employed for quantitative preparations.

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The series diverges with an integral of 1/ln(16) and the series converges with an integral of 1/4 and a sum of 1/2.

We can use the integral test to determine the convergence of the series ∑n=1∞ 1/6n. The integral of the function f(x) = 1/6x is:

\(∫f(x) dx = (1/6) ln(x) + C\)

Using the limits of integration from 1 to ∞, we get:

∫1∞ f(x) dx = (1/6) ln(∞) - (1/6) ln(1) = ∞

Since the integral diverges, the series also diverges.

We can use the integral test to determine the convergence of the series ∑n=1∞ \((n+4)/(n^2+8n+4\)). The integral of the function f(x) = \((x+4)/(x^2+8x+4)\) is:

∫f(x) dx = (1/2) ln(x^2 + 8x + 4) + 3 ln|x + 4| + C

Using the limits of integration from 1 to ∞, we get:

∫1∞ f(x) dx = (1/2) ln(∞) + 3 ln(∞ + 4) - (1/2) ln(13) - 3 ln(5) = ∞

Since the integral diverges, the series also diverges.

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