Which expression is equivalent to 91 + 39?

(A) 13(7 + 39)

(B) 3(30 + 13)

(C) 13(7 + 3)

(D) 7(13 + 6)

Answer:

\(y=4\sin(\frac{2}{7}x-\frac{2}{35})\)

Step-by-step explanation:

Period: \(7\pi=\frac{2\pi}{b}\rightarrow b=\frac{2}{7}\)

Phase Shift:

\(\displaystyle \frac{c}{b}=\frac{1}{5}\\\\\rightarrow\frac{c}{\frac{2}{7}}=\frac{1}{5}\\\\\rightarrow \frac{2}{7}=5c\\ \\\rightarrow \frac{2}{35}=c\)

Final equation:

\(y=4\sin(\frac{2}{7}x-\frac{2}{35})\)

For the transformation at -78 °C, appropriate reagents include lithium aluminum hydride (LiAlH4) and diethyl ether.

At -78 °C, certain chemical reactions require the use of specific reagents to achieve the desired transformation. One commonly used reagent is lithium aluminum hydride (LiAlH4), which acts as a strong reducing agent. It is capable of reducing various functional groups, such as carbonyl compounds, to their corresponding alcohols.

Diethyl ether is typically employed as a solvent to facilitate the reaction and ensure efficient mixing of the reactants. Researchers often utilize this low temperature for reactions involving sensitive or reactive intermediates, as it helps control the reaction and prevent unwanted side reactions.

The use of LiAlH4 and diethyl ether provides a reliable combination for achieving the desired transformation at this temperature, enabling chemists to manipulate and modify compounds in a controlled manner.

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Step-by-step explanation:

This APR assumes no compounding ( as I believe it would include in Europe)...this makes it much simpler to answer this Q:

28.5 / `12 = 2.375 %   per month

2.735% of 145 = $ 3.44 finance charge

The solution to the equation is 5x = 31y

From the question, we have the following parameters that can be used in our computation:

(2x + 3y) / (x - 4y) = 7

Cross multiply the equation

So we have

2x + 3y = 7x - 28y

Collect and evaluate the like terms

5x = 31y

Hence, the solution is 5x = 31y

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Organizations that build strategic information systems create systems that are paramount to business success. The correct option is(D).

Strategic information systems are those that support the long-term goals and objectives of an organization, aligning the use of technology with the strategic direction of the business. These systems provide a competitive advantage by enabling the organization to achieve its strategic goals and objectives more efficiently and effectively.

They typically involve the integration of different types of information systems, such as transaction processing systems, decision support systems, and executive information systems, to support the decision-making process at all levels of the organization.

By building strategic information systems, organizations can improve their overall performance, enhance their operational efficiency, and gain a competitive advantage in the marketplace.

Such systems can help organizations to better understand their customers, identify new market opportunities, improve supply chain management, and optimize business processes.

In today's rapidly changing business environment, strategic information systems are essential for organizations to remain competitive and achieve long-term success.

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The long run behavior of the function f(x)=5(2)x+1 is that it approaches 1 as x approaches negative infinity and it approaches infinity as x approaches positive infinity.

The long-term behavior of the function f(x)=5(2)x+1 can be discovered by examining how the function behaves as x gets closer to negative and positive infinity.

As x→−[infinity], f(x) = 5(2)^ -∞+1 = 5(0)+1 = 1

As x approaches negative infinity, the value of the function approaches 1.

As x→[infinity], f(x) = 5(2)^ ∞+1 = 5(∞)+1 = ∞

As x approaches positive infinity, the value of the function approaches infinity.

As a result, the function f(x)=5(2)x+1 behaves in the long run in such a way that it approaches 1 as x approaches negative infinity and infinity as x approaches positive infinity.

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Answer:

a) 3 lemons = (0.3)^3 = 0.027

------------------------------------

b) No fruit symbols = (0.5)^3 = 0.125

c) 3 bells (the jackpot) = (0.1)^3 = 1/1000

d) No bells = (999/1000)

e) At least one bar (An automatic loser)= 1 - P(no bars)

= 1 - 3C0(0.4)^0*0.6^3 = 1-0.6^3 = 0.784

============================================

Cheers,

Answer:

6.167

Step-by-step explanation:

1 + 2/3 - (-9/2)

1 + 2/3 + 9/2

Taking LCM (1 x 2 x 3)

6/6 + 4/6 + 27/6

6 + 4 + 27/6

37/6

6.167 Ans

12 blocks per 6 minutes

So then:

2 blocks per 1 mintue

(12 / 6 = 2)

(not sure if you had an actual question, but here's a unit rate)

The equation of the tangent line to the curve \(\(y = 2\tan x\)\) at the point \(\(\left(\frac{\pi}{4}, 2\right)\) is \(y = 4x - (\pi - 2)\)\), where \(\(\theta = \frac{\pi}{4}\) and \(b = \pi - 2\)\).

To find the equation of the tangent line to the curve \(\(y = 2\tan x\)\)at the point \(\(\left(\frac{\pi}{4}, 2\right)\)\), we need to determine the slope of the tangent line and the point where it intersects the y-axis.

The slope of the tangent line can be found by taking the derivative of the function \(\(y = 2\tan x\)\) with respect to x:

\(\(\frac{dy}{dx} = \frac{d}{dx}(2\tan x)\)\)

Using the derivative of the tangent function, which is\(\(\sec^2 x\)\), we have:

\(\(\frac{dy}{dx} = 2\sec^2 x\)\)

To find the slope at \(x = \frac{\pi}{4}\), substitute the value into the derivative:

\(\frac{dy}{dx} \bigg|_{x = \frac{\pi}{4}} = 2\sec^2 \left(\frac{\pi}{4}\right)\)

Since \(\sec^2 \left(\frac{\pi}{4}\right) = 2\), the slope is:

\(\frac{dy}{dx} \bigg|_{x = \frac{\pi}{4}} = 2(2) = 4\)

Now that we have the slope, we can use the point-slope form of a line to find the equation of the tangent line:

\(y - y_1 = m(x - x_1)\)

Substituting the values \((x_1, y_1) = \left(\frac{\pi}{4}, 2\right)\) and \(m = 4\), we have:

\(y - 2 = 4(x - \frac{\pi}{4})\)

Simplifying, we get:

\(y - 2 = 4x - \pi\)

Finally, rearranging the equation in the desired form \(y = mx + b\), we have:

\(y = 4x - \pi + 2\)

Therefore, the equation of the tangent line to the curve \(y = 2\tan x\) at the point \(\left(\frac{\pi}{4}, 2\right)\) is \(y = 4x - (\pi - 2)\), where \(\theta = \frac{\pi}{4}\) and \(b = \pi - 2\).

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Answer:

68

Step-by-step explanation:

Step 1:

( 70 + 2 ) - 4

Step 2:

72 - 4

Answer:

68

Hope This Helps :)

Answer:

29

61

Step-by-step explanation:

x^2 - 20

x = 7 and 9

Evaluate

___________

We know the values of x, let's substitute them with the x in the problem :

(7)^2 - 20

49 - 20

29

(9)^2 - 20

81 - 20

61

Answer:

Because the residual plot does not show a clear pattern, a linear model is appropriate.

Step-by-step explanation:

The type of sampling described in the scenario is known as systematic sampling.

Systematic sampling involves selecting elements from a population in a systematic and predetermined manner. In this case, the researcher is selecting every 20th name from the student directory to form her sample. This method of sampling is relatively simple to execute and can be less time-consuming compared to other methods such as random sampling. However, it is important to ensure that the selected interval does not coincide with any underlying patterns in the population that may bias the results.

Overall, systematic sampling can be a useful method for obtaining a representative sample from a large population, but it is important to consider the potential limitations and biases associated with this approach.

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Answer:

Step-by-step explanation:

f(x)=a(x+2)(x+7)=a(x²+2x+7x+14)

or f(x)=a(x²+9x+14)

it has zeros as -2 and -7.

1)The pdf of U is f(u) = (1/(2√u)) exp(-u/2) for u > 0 and f(u) = 0 otherwise.

2)U follows a gamma-distribution with parameter a = 3/2 or a = 1/2.

3)x = (y²/2) and dx = y dy using exponential distribution

We can rewrite the integral as:

I(1/2) = ∫₀^∞ y exp(-y²) dy

       = 1/2 ∫₀^∞ exp(-u/2) du

This is the same as the integral for f(u) when u = 1/2.

Therefore, we have:

I(1/2) = V1

(1) For U = Z², we can use the method of transformations.

Let g(z) be the transformation function such that

U = g(Z)

   = Z².

Then, the inverse function of g is given by h(u) = ±√u.

Thus, we can apply the transformation theorem as follows:

f(u) = |h'(u)| g(h(u)) f(u)

     = |1/(2√u)| exp(-u/2) for u > 0 f(u) = 0 otherwise

Therefore, the pdf of U is given by:

f(u) = (1/(2√u)) exp(-u/2) for u > 0 and f(u) = 0 otherwise.

(2) We are given that f(1/2) = VT, where V is a constant.

We can substitute u = 1/2 in the pdf of U and equate it to VT.

Then, we get:VT = (1/(2√(1/2))) exp(-1/4)VT

                            = √2 exp(-1/4)

This gives us the value of V.

Now, we can use the pdf of the gamma distribution to find the parameter a such that the gamma distribution matches the pdf of U.

The pdf of the gamma distribution is given by:

f(u) = (u^(a-1) exp(-u)/Γ(a)) for u > 0 where Γ(a) is the gamma function.

We can use the following relation between the gamma and the factorial function to simplify the expression for the gamma function:

Γ(a) = (a-1)!

Thus, we can rewrite the pdf of the gamma distribution as:

f(u) = (u^(a-1) exp(-u)/(a-1)!) for u > 0

We can now equate the pdf of U to the pdf of the gamma distribution and solve for a.

Then, we get:

(1/(2√u)) exp(-u/2) = (u^(a-1) exp(-u)/(a-1)!) for u > 0 a = 3/2

Therefore, U follows a gamma distribution with parameter

a = 3/2 or equivalently,

a = 1/2.

(3) We need to show that I(1/2) = V1.

Here, I(1) = ∫₀^∞ exp(-x) dx is the integral of the exponential distribution with rate parameter 1 and V is a constant.

We can use the change of variables y = √(2x) to simplify the expression for I(1/2) as follows:

I(1/2) = ∫₀^∞ exp(-√(2x)) dx

Now, we can substitute y²/2 = x to obtain:

x = (y²/2) and

dx = y dy

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Answer: $10 in 1 year.

Step-by-step explanation:  Divide 100 by 10. 10% of 100 is 10.  $10.

The correct ranking of the spheres according to the magnitude of the electric field they produce at point P (greatest first) is: 1 > 2 > 3. The answer is option C.

Since all three spheres have the same charge Q and radius, the magnitude of the electric field at point P due to each sphere is proportional to 1/d^2, where d is the distance between the center of the sphere and point P. Therefore, the sphere closest to point P will produce the greatest electric field at that point.

Assuming that the three spheres are arranged in a straight line with sphere 1 being the closest to point P and sphere 3 being the farthest, we can rank the spheres according to the magnitude of the electric field they produce at point P as follows:

Sphere 1 produces the greatest electric field at point P since it is the closest to it.

Sphere 2 produces the second greatest electric field at point P since it is farther away from point P than sphere 1 but closer than sphere 3.

Sphere 3 produces the smallest electric field at point P since it is the farthest from it.

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Answer:

Below

Step-by-step explanation:

Radians =  degrees * pi /180

Radians * 180/pi   =  degrees

Answer: kindly check explanation

Step-by-step explanation:

Given the following :

Amount saved by Jacob = $50

Amount spent at the movies = $15

Amount left after paying for bike repair = $0

Cost of bike repair :

$50 - $15 = $35

What integer represents Jacob’s savings?

Initial amount before any spending

Jacob's saving = +$50

2.What integer represents the change in Jacob’s savings after he spends money at the movies?

Saved amount - amount spent at the movies

$50 - $15 = $35

No number line is given

Answer:

y = 3x + 1

Step-by-step explanation:

(2, 7); 3x - y = 5

(x₁, y₁)

3x - y = 5

-3x           -3x

---------------------

-y = -3x + 5

÷-1    ÷-1   ÷-1

--------------------

y = 3x - 5

y - y₁ = m(x - x₁)

y - 7 = 3(x - 2)

y - 7 = 3x - 6

  +7          +7

-----------------------

y = 3x + 1

I hope this helps!

Answer: y=3x+1

Step-by-step explanation:

\(3x-y=5\\3x-y+y=5+y\\3x=5+y\\3x-5=y+5-5\\3x-5=y\\So, \ y=3x-5\\\)

A line parallel to line y=3x-5 will look like this: y=3x+b

The line passes throught the point (2,7), hence:

\(7=3(2)+b\\7=6+b\\7-6=6+b-6\\1=b\\Thus,\ b=1\\y=3x+1\)

The Value of the double integral is 9/2.

To Evaluate the double integral ∫∫D x dA, we need to express the region D as a type I or type II region, and then integrate over that region.

For D enclosed by the lines y = x, y = 0, x = 3, we can see that the region is a right triangle with vertices at (0,0), (3,0), and (3,3), so it can be expressed as a type I region with:

a. D = {(x, y) | y ≤ x ≤ 3, 0 ≤ y ≤ x}

or as a type II region with:

b. D = {(x, y) | 0 ≤ y ≤ 3, y ≤ x ≤ 3}

To evaluate the double integral using either of these regions, we can use iterated integrals.

Using a type I region:

∫∫D x dA = ∫0³ ∫y³ x dy dx

= ∫0³ ∫0x x dy dx

= ∫0³ ½x² dx

= 9/2

Using a type II region:

∫∫D x dA = ∫0³ ∫0y y dx dy

= ∫0³ ½y² dy

= 9/2

.

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Kind Note:

I did not provide a picture. Instead, I provided explanation for your answer. If you really want a picture for your answer, I will provide it for you.

Step-by-step explanation:

We know that:

Work:

Answer:

Let that be x

Children tickets =50

Answer:

52.91 pounds

Step-by-step explanation:

The function f(x) = 3x³ + 5 is neither even nor odd. To determine whether a function is even or odd, you need to check how the function behaves when x is replaced with -x.

To determine whether the given function is even, odd, or neither, we need to check the following conditions:

Even function: If f(-x) = f(x) for all x in the domain of f, then the function is even.

Odd function: If f(-x) = -f(x) for all x in the domain of f, then the function is odd.

Let's check these conditions for the given function:

f(x) = 3x³ + 5

f(-x) = 3(-x)³ + 5 = -3x³ + 5

f(x) = 3x³ + 5

Since f(-x) is not equal to f(x), the function is not even.

f(-x) = 3(-x)^3 + 5 = -3x^3 + 5

-f(x) = -(3x^3 + 5) = -3x^3 - 5

Since f(-x) is not equal to -f(x), the function is not odd.

Therefore, the given function is neither even nor odd.

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Answer:

True

Step-by-step explanation:

The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.

We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.

We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.

Using this in the given triangle KLM, we get:

Area = (1/2)(KL)(KM)(sin K),

or, 400 = (1/2)(KL)(45)(sin 25°),

or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.

Thus, we get KL = 42 yards.

Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.

Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

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Answer: b

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

second

Step-by-step explanation:

(2x-5)(3x+1) = 6x² +2x -15x -5 = 6x² -13x - 5