Need answers ASAP I got less than 20 mins thx

The expression that matches the simplified form is 7x^5 - 6x + 5x^3 - x^2 + 4x. Option D.

To simplify the given expression, we can combine like terms by adding or subtracting coefficients of the same degree.

The given expression is:

3x^4 + 2x^3 - 5x^2 + 4x^2 + 6x - 2x - 3x + 7x - 3x^3

Combining like terms, we get:

(3x^4) + (2x^3 - 3x^3) + (-5x^2 + 4x^2) + (6x - 2x - 3x + 7x) - 3x

Simplifying further, we have:

3x^4 - x^3 - x^2 + 12x - 3x

Now, let's arrange the terms in descending order of their exponents:

3x^4 - x^3 - x^2 + 9x

Therefore, the simplified form of the given expression is:

3x^4 - x^3 - x^2 + 9x Option D is correct.

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The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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Answer:

Refer the attachment

Hope its helpful for you

According to the solving the factorized value of the given equation is:

(4x-5). (3x+1).

Writing a number or any mathematical object as the sum of several factors—typically smaller or simpler objects that use the same known as factorization or factoring. For instance, 3 5 factors the polynomial x2 - 4 as well as the integer 15.

Factoring is a crucial procedure that aids in our understanding of our equations. We factorize our polynomials to create a simpler form, and when we factorize equations, we obtain a wealth of important information.

Detailed explanation:

12x² - 11x-5

12x²+4x-15x-5

4x(3x+1) - 5(3x+1)

(4x-5). (3x+1)

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The length of the rectangle is 19 cm.

The formula for the area of a rectangle,

Area = Length x Width

Given that the area is 336 cm squared.

So, we can set up an equation,

⇒ 336 = (w + 5)w

where w represents the width of the rectangle.

Expanding this equation,

⇒ 336 = w² + 5w

Moving all terms to one side:

⇒ w² + 5w - 336 = 0

This is a quadratic equation that we can solve using the quadratic formula,

⇒ w = (-5 ± √(5² - 4(1)(-336))) / (2(1))

⇒ w = (-5 ± 23) / 2

We'll take the positive value,

⇒ w = 14

So, the width of the rectangle is 14 cm.

We also know that the length is 5 cm more than the width,

Therefore,

⇒ l = w + 5

⇒ l = 14 + 5

⇒ l = 19

Therefore, the length of the rectangle is 19 cm.

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Answer:

19

Step-by-step explanation:

37/3= 12. something

12+7+19

Answer:

a

Step-by-step explanation:

2s + 8c = 54

1s + 8c = 51

54-51= 3

Therefore senior = 3 and child= 6

When the given equations represent the same line, the number of points of intersection are infinite, such that the number of solutions are also infinite.

Reasons:

The equation the teacher wrote on the board is; 3·y + 12 = 6·x

The additional equation is; 2·y = 4·x + b

Required:

The value of b, such that the two equation form a system with infinitely many solutions.

Solution:

Two equations will have infinite number of solutions when they are the same equation, therefore, we have;

For the equation the teacher wrote;

3·y + 12 = 6·x

3·y  = 6·x - 12

y = (6·x - 12) ÷ 3 = 2·x - 4

y = 2·x - 4

For the additional equation, we have;

2·y = 4·x + b

y = (4·x + b) ÷ 2 = 2·x + b÷2

Which gives;

\(\displaystyle y = \mathbf{2 \cdot x + \frac{b}{2}}\)

When the two equations have infinitely many solutions, they will be equal, which gives;

\(\displaystyle y = 2 \cdot x + \frac{b}{2} = 2 \cdot x - 4\)

\(\displaystyle 2 \cdot x + \frac{b}{2} = \mathbf{ 2 \cdot x - 4}\)

\(\displaystyle 2 \cdot x + \frac{b}{2} - 2 \cdot x = 2 \cdot x - 4 - 2 \cdot x; \ by \ \mathbf{subtraction \ property \ of \ equality}\)

\(\displaystyle \frac{b}{2} = - 4\)

b = -4 × 2 = -8

b = -8

Which gives;

2·y = 4·x - 8

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The PDF of random variable Z is given by:

\(f_Z(z) = 0 for z < 0\)

To find the probability density function (PDF) of the random variable Z = X + Y, where X and Y are independent exponential random variables with the same parameter λ, we can use convolution.

The convolution of two random variables is given by the integral of the product of their individual probability density functions.

Let's calculate the convolution for Z.

Let \(f_Z(z)\) be the PDF of Z.

We can express Z as the sum of X and Y:

Z = X + Y+

To find \(f_Z(z)\), we need to compute the convolution integral:

\(f_Z(z) = [f_X(x) * f_Y(z - x)] dx\)

where\(f_X(x)\) and \(f_Y(y)\) are the PDFs of X and Y, respectively.

Substituting the exponential PDFs:

\(f_Z\)(z) = ∫[\(λe^\)(-λx) * \(λe^\)(-λ(z - x))] dx

Simplifying:

\(f_Z\)(z) = \(λ^2\)∫[e^(-λx) * e^(-λz + λx)] dx

\(f_Z\)(z) = \(λ^2\) ∫e^(-λz) dx

\(f_Z\)(z) = \(λ^2\) e^(-λz) ∫ dx

\(f_Z\)(z) = \(λ^2\) e^(-λz) [x] + C

Since Z is a non-negative random variable, the range of integration is from 0 to infinity.

Therefore, we evaluate the integral with the limits:

\(f_Z\)(z) = λ^2 e^(-λz) [0 to ∞]

As x approaches infinity, the value of \(e^(-λx)\) goes to 0.

Therefore, the upper limit of the integral contributes 0 to the result.

\(f_Z\)(z) = \(λ^2\) e^(-λz) [0]

\(f_Z(z) = 0\)

Hence, the PDF of Z is given by:

\(f_Z(z) = 0 for z < 0\)

This means that Z follows a degenerate distribution, concentrated at zero.

The sum of independent exponential random variables with the same parameter λ is always a degenerate random variable with zero probability density except at zero.

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Answer:

0.44ft/hr

Step-by-step explanation:

Given parameters:

Quantity of rainfall  = 8inches

            1ft  = 12inches

   so;

            \(\frac{8}{12}\)   = 0.67ft

Time  = \(\frac{3}{2}\)hr

Unknown:

Rate of rainfall expressed in ft/hr  = ?

Solution:

The rate of the rainfall is given as;

    Rate  = \(\frac{Quantity}{time}\)  

  Rate  = \(\frac{0.67ft}{\frac{3}{2} }\)    = 0.44ft/hr

The steps in Mia's method were smaller than in Jenna's, which was an advantage.

The same result will be obtained by adding the products of multiplying the sum of two or more addends by a number as opposed to multiplying each addend separately by the number.

The direct algorithm process suggested in this paper is known as the direct calculation method (DCM), and it can deal with using confinement loss as an incremental step to simulate the effect of moving tunnel face excavation, calculating the stresses and displacements in each step, and drawing the results.

Jenna's technique:

\(\begin{aligned}&5(30+4) \\&=(5)(30)+(5)(4) \\&=150+20 \\&=170\end{aligned}\)

Mia's technique:

\(\begin{aligned}&5(30+4) \\&=(5)(34) \\&=170\end{aligned}\)

Both used the right approach, albeit in different ways.

One uses the distributive property, whereas the other uses direct calculation.

Consequently, Jenna and Mia came to the same conclusion.

However, Mia's approach has one advantage over Jenna's: it requires fewer steps.

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Answer:

Step-by-step explanation:

Unit price = 9.60/8 = $1.2

Answer:

The unit price is $1.20

Step-by-step explanation:

All you have to do is divide 9.60 into 8

9.60 divided by 8=1.2

Step-by-step explanation:

x = number

3x - 15 = (x - 12)×-4 or (12-x)×-4

3x - 15 = -4x + 48 or -48 + 4x

7x = 63, x = 9 or

33 = x

See attachment for math work and answer.

Note: The triangle next to y and x in the fraction is read: "delta y divided by delta x."

It means the difference of the y terms divided by the difference of the x terms.

The commission of the agent is 196000

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

Commission percentage = 7%

Earnings = 2.8 million

Using the above as a guide, we have the following:

Commission = 7% * Earnings

Substitute the known values in the above equation, so, we have the following representation

Commission = 7% * 2.8 million

Evaluate

Commission = 196000

Hence, the commission is $196000

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Answer:

The scale factor is 1/4.

Step-by-step explanation:

Dilations

Quadrilateral A'B'C'D' is the result of dilation of quadrilateral ABCD by a scale factor.

To find the scale factor, we compare the measures of the side lengths from consecutive vertices of each quadrilateral.

From A to B, there are 4 units. From A' to B' there is one unit. This gives a scale factor of 1/4.

This happens with the rest of the measures.

From B to C there are 4 horizontal and 4 vertical units. From B' to C' there is one unit of each dimension.

This pattern can be confirmed by comparing any pair of vertices of each quadrilateral, thus we can conclude:

The scale factor is 1/4.

Answer:

Step-by-step explanation:

The time interval of interest is 6 hours

There is an average of 18 trains per 24 hours or 18/(24/6)=49/12 trains per 6 hours.

The probability can be found using the Poisson distribution with parameter

λ=49/12

Answer:

22 + 63 = 20 + 65

Step-by-step explanation:

Hope this helps!

Answer:

22 + 63 is the same as 20 +  65

Step-by-step explanation:

Hope this helped!

Answer:

area is 60 cm sq units

Step-by-step explanation:

16+12+12+20=

16+24+20

40+20=60

Answer:

it would take around 10 hours to grade all 30 papers

Step-by-step explanation:

if for one student it takes 20 minutes that means you would have to do 20 minutes 30 times which is 600 minutes. to convert that to hours you divide total minutes (600) by 60 which gives you 10 hours. no need for thanks

Answer:

Step-by-step explanation:

Notice that ∠5 is an internal angle, because it's between the parallels.

∠1  and ∠5 are corresponding angles, becasue they are at the same side of the transveral, and one is internal and the other external. So, ∠1 = 62°.

∠2 and ∠1 are supplementary angles, because they are on a straight angle, so if ∠1 = 62°, then ∠2 = 180° - 62° = 118°.

∠3 and ∠1 are vertical angles, because they have a vertex in common only. So, they are congruent, which means ∠3 = 62°.

Finally, ∠4 and ∠2 are vertical angles, so they are congruent. ∠4 = 118°.

Answer:

See below ~

Step-by-step explanation:

A lies between 665 and 670.

Let's answer the questions asked.

A rounded to the nearest ten

A rounded to the nearest hundred

Answer:

try 660

Step-by-step explanation:

because get to think it already says 670 and 680 so i believe the answer is 660

Answer:

12x -7

Step-by-step explanation:

Yes or in other words A

Answer:

Step-by-step explanation:

ratio and proportion:

3 tickets  = 7 tickets

$13.20            x

then cross multiply:  3 (x) = 13.20 (7)

simplify: 3x = 92.4

solve for x = 92.4 / 3

x = $ 30.8

therefore,

7 tickets costs $ 30.8

Answer:

The answer is -19 because 127 - -6 will equal 133 and divided by -7 will equal the answer -19.

Answer:

-17.28

Step-by-step explanation:

-7x +6= 127

-7x = 127-6

-7x= 121

x= -17.28