The length of a rectangle i meter longer than the width. If the area i quare​ meter, find the​ rectangle' dimenion. Round to the nearet tenth of a meter. The width i _____ meter
  enter your repone here meter

option C is the correct answer.

Elaboration:

Let us consider the given integral below:∫ xdx / √9x⁴-4

Therefore,

u = 9x⁴ - 4 and we can compute the derivative of u as 36x³dx.

This implies that we can replace xdx by du/36, and also 9x⁴ - 4 can be written as u.

Thus, the integral becomes;∫du/36u^(1/2) = (1/36) ∫u^(-1/2) du Apply the power rule of integration to obtain the following;

(1/36) ∫u^(-1/2) du = (1/36) * 2u^(1/2) + C= (1/18)u^(1/2) + C Substituting back u = 9x⁴ - 4, we get;(1/18)(9x⁴ - 4)^(1/2) + C

Therefore, option C is the correct answer.

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4x - 5y = -9

-4x + y = -7

Step 1

Eliminate variable x

Different sign eliminate x and add.

-5y + y = -9 + (-7)

- 4y = -9 - 7

- 4y = -16

y = -16/-4

y = 4

Step 2

Substitute y in any equation and find x.

-4x + y = -7

-4x + 4 = -7

-4x = -7 - 4

-4x = -11

x = -11/-4

x = 11/4

X = 11/4 Y = 4

The complex number that the given graph depicts is:

D: 2{cos 7π/4 + i sin 7π/4}

The complex number shown has coordinates (1.35, -1.35)

or

z = 1.35 - 1.35i

The modulus is:

|z| = √(1.35² + (-1.35)²)

|z| = √3.645

|z| ≈ 2

The argument is:

θ = tan⁻¹(-1.35/1.35)

θ = tan⁻¹(-1) = 7π/4

The polar form is:

2{cos 7π/4 + i sin 7π/4}

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Answer:

only 5 of her friends will play

Step-by-step explanation:

8-3=5

Answer:

The answer 5

Step-by-step explanation:

8 friends minus the three that dont want to play

Answer:

x = \(-\frac{4}{3}\)

Step-by-step explanation:

Distributive Property:

3 (x - 4) = 12x

3x - 12 = 12x

Combine like terms and isolate the variable:

3x - 12 = 12x

-12 = 9x

\(-\frac{4}{3}\) = x

x = \(-\frac{4}{3}\)

Answer:

x = \(\frac{-4}{3}\)

Step-by-step explanation:

3(x - 4) = 12x

3x - 12 = 12x --->by the distributive property of equality

-9x = 12 ---> subtraction property of equality

x = -9/12 ---> division property of equality

x = -4/3 as simplified

Answer:

ewrwr33r2ewrwrerw3t

Step-by-step explanation:

Answer: When x=2 and z = 1, then the value of y =4.

Step-by-step explanation:

Given: y varies directly as x and z i.e. \(y\ \alpha \ xz\)

\(y=k(xz)\)      (i) , where k is the proportionality constant.

Put  Y=40 ,x =5 and z = 4, then we get

\(40=k(5\times4)\\\\\Rightarrow\ k=\dfrac{40}{20}\\\\\Rightarrow\ k=2\)

Required equation: \(y=2(xz)\)  [Put value of k in (i)]

Now put x=2 and z = 1, then we get

\(y=2(2\times1)=2(2)=4\\\\\Rightarrow\ y=4\)

Hence, when x=2 and z = 1, then the value of y =4.

Answer:C 1.2x 10^-6

Step-by-step explanation:

Answer:

A = 15cm^2

Step-by-step explanation:

A = bxh/2

A= 5x6/2

A=30/2

A=15cm^2

If the probability of event E is 1, then event E will definitely occur. Therefore, the correct answer is b.

It is important to note that if the probability of an event is 1, then it is certain to occur and there is no possibility of it not occurring. This means that event E is not impossible (a), not disjoint (c), and not dependent (d) since it will occur regardless of any other events. Based on the information provided, if the probability of event E is 1, then option b. event E will definitely occur. This is because a probability of 1 indicates that the event is certain to happen.

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a. null hypothesis \(H_0\): PRmean=non-PRmean

b. the sample mean lies in the interval, so we fail to reject null hypothesis

c. critical value z(0.05)=1.96 is less than calculated z=3.56 so we fail to accept null hypothesis.

A null hypothesis states that there is no statistical significance to be discovered in the set of presented observations. The validity of a theory is assessed through hypothesis testing on sample data. Sometimes known as the "null," it is represented by the symbol  \(H_0\).

(a)

null hypothesis  \(H_0\): PRmean=non-PRmean

(b).

i. \((1-\alpha)\times 100\%\) confidence interval for sample

\(mean=mean \pm z(\frac{\alpha }{2} )*SE(mean)\)

95% confidence interval for sample PRmean=PRmean±z(.05/2)*SE(mean)=69.5±1.96*1.9

=69.5±3.724=(65.776,73.224)

95% confidence interval for sample non-PRmean=non-PRmean±z(.05/2)*SE(mean)=61.2±1.96*1.7

=69.5±3.332=(57.868, 64.532)

ii. null hypothesis not be rejected

iii. since the sample mean lies in the interval, so we fail to reject null hypothesis

(c).

i. mean difference=69.5-61.5=8

ii. SE(difference)=\(\sqrt{SE(PR)^2+SE(non-PR)^2}\)

\(=\sqrt{1.9\times 1.9+1.2\times 1.2}\)

=2.2472

iii. we use z-test and z=(mean difference)/SE(difference)=8/2.2472=3.56

iv. here level of significance alpha is not mentioned,

let \(\alpha\) =0.05

critical value z(0.05)=1.96 is less than calculated z=3.56 so we fail to accept null hypothesis.

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Answer:

X+333.22=12.78.

Step-by-step explanation:

If the RMS value of the sinusoidal input to a full wave rectifier is Vo / (2)^(1/2) then the RMS value of the rectifier’s output is  \(Vo * (2)^(1/2) / 2.\)

Full wave rectifier length = Vo / (2)^(1/2)

The peak value of the output voltage = Vo.

For a full-wave rectifier, the outcome voltage is the whole value of the input voltage.

The RMS value of a sinusoidal waveform can be calculated using the formula:

Vrms = Vp / \((2)^(1/2)\)

Vrms = Vo / \((2)^(1/2)\)

To simplify this equation, we can multiply both the numerator and the denominator by (2)^(1/2):

\(Vrms = (Vo / (2)^(1/2)) * ((2)^(1/2)/(2)^(1/2))\)

\(Vrms = Vo * (2)^(1/2) / 2\)

Therefore, we can conclude that the RMS value of the rectifier's output is \(Vo * (2)^(1/2) / 2.\)

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Answer:

B is the correct answer

Step-by-step explanation:

To represent b^11 as a product of terms of the form b^2, we can write it as (b^2)^5. This means that b^11 can be expressed as the product of five terms of the form b^2.

b^11 = (b^2) * (b^2) * (b^2) * (b^2) * (b^2)

In this representation, each term is b^2, and we have a total of five terms. By multiplying these terms together, we get b^11.

The exponent rule states that when we raise a power to another power, we multiply the exponents. In this case, (b^2)^5 means we multiply the exponent 2 by 5, resulting in b^10. Therefore, the product of five terms of the form b^2 gives us b^11.

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A,B, and C are interior while D is extorior

Step-by-step explanation: However ABCD are the same because they all mean a number and have their own angles Dis the most common number so its related to ABC. :)Hope this helps

Answer:

A,B, and C are interior while D is extorior

Step-by-step explanation: However ABCD are the same because they all mean a number and have their own angles Dis the most common number so its related to ABC.

Step-by-step explanation:

Answer:

im pretty sure its 3 plz tell me if im wrong im new here but i think its right

Step-by-step explanation:

Within each individual, there exists an ongoing battle between good and evil. This internal struggle shapes our lives, and ultimately, the triumph of one nature over the other is determined by our own choices.

The quote acknowledges the duality of human nature, highlighting the eternal conflict between good and evil that exists within each individual. It suggests that throughout our lives, these opposing forces vie for dominance, influencing our thoughts, actions, and decisions.

While the presence of both good and evil within us is inevitable, the quote emphasizes that the outcome of this internal struggle is not predetermined. The power to choose which aspect of our nature prevails lies in our own hands. Our choices shape our character and determine the path we follow. By exercising our agency and making conscious decisions aligned with our value, we have the ability to steer ourselves towards goodness or allow our darker inclinations to take control.

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Answer:

no photo

Step-by-step explanation:

we need a photo to decide if answer is correct or not

Answer:

(2,-3) is the minimum

Step-by-step explanation:

y = (x-2)²-3 is a quadratic equation written in 'vertex' form:  y = (x-h)²+k where 'h' and 'k' represent the vertex

The vertex is the highest or lowest point of the curve, in this case the 'minimum' so (2,-3) is the minimum

Answer:

C)  (-1, -4) and (4, 6)

Step-by-step explanation:

\(\textsf{Equation 1}:y=2x-2\)

\(\textsf{Equation 2}:y=x^2-x-6\)

Substitute Equation 1 into Equation 2 and solve for x:

\(\implies 2x-2=x^2-x-6\)

\(\implies x^2-3x-4=0\)

Find two numbers that multiply to -4 and sum to -3:  -4 and 1

Rewrite the middle term as the sum of these two numbers:

\(\implies x^2-4x+x-4=0\)

Factorize the first two terms and the last two terms separately:

\(\implies x(x-4)+1(x-4)=0\)

Factor out the common term \((x-4)\):

\(\implies (x+1)(x-4)=0\)

\(\implies (x+1)=0 \implies x=-1\)

\(\implies (x-4)=0 \implies x=4\)

Substitute the found values of x into Equation 1 and solve for y:

\(x=-1 \implies y=2(-1)-2=-4\)

\(x=4 \implies y=2(4)-2=6\)

Therefore, the solution to the system of equations is:

(-1, -4) and (4, 6)

The right alternative to replace the question mark (?) is nik.

The given series is wfb, tgd, qhg. To find the right alternative to replace the question mark (?), we need to identify the pattern in the series.

Looking at the series, we can observe that the first letter in each term is moving back two steps in alphabetical order, while the second letter is moving forward one step, and the third letter is moving forward one step and then moving forward two steps which means that it is moving forward with "n+1" steps where n = 0, 1, 2, 3,...

Applying this, we can determine the next term in the series:

w → t → q → n

f → g → h → i

b → d → g → k

So, the next term comes to be "nik"

Therefore, the right alternative to replace the question mark (?) is "nik".

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Therefore, based on the given information, we cannot definitively determine the quadrant in which 2β terminates without knowing the specific value of β or further information.

Given that sec β = 75 cos(23°) and sin β > 0, we can determine the quadrant in which 2β terminates. The solution requires finding the value of β and then analyzing the value of 2β.

To determine the quadrant in which 2β terminates, we first need to find the value of β. Given that sec β = 75 cos(23°), we can rearrange the equation to solve for cos β: cos β = 1/(75 cos(23°)).

Using the trigonometric identity sin² β + cos² β = 1, we can find sin β by substituting the value of cos β into the equation: sin β = √(1 - cos² β).

Since it is given that sin β > 0, we know that β lies in either the first or second quadrant. However, to determine the quadrant in which 2β terminates, we need to consider the value of 2β.

If β is in the first quadrant, then 2β will also be in the first quadrant. Similarly, if β is in the second quadrant, then 2β will be in the third quadrant.

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The transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

The rule that describes the transformation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

To understand this, let's apply the transformation rule to each vertex of the original parallelogram ABCD:

Point A (2, 5) becomes A' (-5, 2).

Point B (5, 4) becomes B' (-4, 5).

Point C (5, 2) becomes C' (-2, 5).

Point D (2, 3) becomes D' (-3, 2).

By applying the transformation rule, we observe that the x-coordinate of each point becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.

This transformation is a 90-degree counterclockwise rotation about the origin (0, 0) on the coordinate plane. The image parallelogram A'B'C'D' is obtained by rotating the original parallelogram ABCD by 90 degrees counterclockwise.

Visually, this transformation can be seen as the original parallelogram being rotated around the origin, where the x-axis becomes the y-axis, and the y-axis becomes the negative x-axis.

Therefore, the transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

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To prepare a buffer solution with a given pH, we need to choose a weak acid and its conjugate base, such that the pKa of the weak acid is close to the desired pH.

The pKa is related to the Ka value as follows:

pKa = -log(Ka)

So, for each of the weak acids given, we can calculate the pKa:

Phosphoric acid (H3PO4): Ka = 7.5 x 10^-3, so pKa = -log(7.5 x 10^-3) = 2.12

Acetic acid (CH3COOH): Ka = 1.8 x 10^-5, so pKa = -log(1.8 x 10^-5) = 4.74

Formic acid (HCOOH): Ka = 1.8 x 10^-4, so pKa = -log(1.8 x 10^-4) = 3.74

Now, let's consider the desired pH values and choose the best components for buffer solutions:

For a pH of 2.5, the best choice would be phosphoric acid (pKa = 2.12).

For a pH of 4.5, the best choice would be formic acid (pKa = 3.74) or a mixture of acetic acid and acetate ion (CH3COOH/CH3COO-, pKa = 4.76).

For a pH of 6.5, the best choice would be a mixture of acetic acid and acetate ion (CH3COOH/CH3COO-, pKa = 4.76).

Note that a buffer solution can be prepared by mixing a weak acid and its conjugate base in roughly equal amounts, so the appropriate salt can be added to the acid to form the buffer solution. For example, to prepare an acetate buffer, one could mix acetic acid with sodium acetate.

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Answer:

All of the options.

Step-by-step explanation:

We first subtract 8 from both sides. We now divide both sides by -1. However, something to keep in mind, is when you multiply/divide by a negative number, you just flip the sign. In this case, we need to divide both sides of the equation by -1, to get b and our answer. So now, we need to find an answer from our answer choices that is smaller than -19. I think all of them would be right in this case, as they fit the equation. So all of them should be right (: As if you plug in the values, you get answers that could be solutions to the equation!

I hope this helps, have a blessed day!

use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

Answer:

8:10 and 12: 15

Step-by-step explanation:

we have to multiply

Answer:

16/20

Step-by-step explanation:

Answer:

12-12=21

Step-by-step explanation:

i think it is that