Identify the coefficient in the monomial 13y^3.

[tex]\text{Given that,}\\\\~~~1+ \ln (3xy) = e^{3x-y}\\\\\\\implies \dfrac d{dx} \left[1 + \ln (3xy) \right] = \dfrac{d}{dx} \left(e^{3x-y} \right)\\\\\\\implies \dfrac{1}{3xy} \cdot 3 \dfrac{d}{dx}(xy) = e^{3x-y} \cdot \left(3 - \dfrac{dy}{dx} \right)\\ \\\\\implies \dfrac 1{xy} \left( x \dfrac{dy}{dx} + y \right)= e^{3x-y} \cdot \left(3 - \dfrac{dy}{dx} \right)\\\\\\\implies \dfrac 1y \dfrac{dy}{dx} + \dfrac 1x = 3e^{3x-y}- e^{3x -y} \dfrac{dy}{dx}[/tex]

[tex]\implies \dfrac 1y \dfrac{dy}{dx} + e^{3x-y} \dfrac{dy}{dx} = 3e^{3x-y} - \dfrac 1x\\\\\\\implies \left( \dfrac 1y+ e^{3x-y} \right)\dfrac{dy}{dx} = 3e^{3x-y} - \dfrac 1x\\\\\\\implies \dfrac{dy}{dx}=\dfrac{3 e^{3x-y} -\dfrac 1x}{\dfrac 1y+ e^{3x-y} }\\\\\text{At point}~ (x,y) = (1/3, 1), \text{slope of the tangent line,}\\\\m=\dfrac{dy}{dx} = 0\\\\\text{Hence the equation of tangent line,}\\\\~~~y-1 =0\\\\\implies y=1[/tex]

Answer:

Your answer would be (36,72)

Step-by-step explanation:

The base of 6 is the same, so add 1/2+1/2 =1

6^1 = 6

Answer:

The asnwer is

The base of 6 is the same, so add 1/2+1/2 =1

6^1 = 6

Step-by-step explanation:

I hope i helped you very much

Answer:

22x + 24

Step-by-step explanation:

7x+9+7x+9+4x+3+4x+3

11x + 18 + 11x + 6

Mark brainliest please!

Answer:

perimeter of a rectangle

=2(L+B)

Therefore...

=2(7x+9+4x+3)

collect like terms

=2(7x+4x+9+3)

=2(11x+12)

using 2 to multiply everything in the bracket

=2×11x + 2×12

=22x + 24

Step-by-step explanation:

so, hypothetically,

3 in = 4 ft

4 in = 4 × 1 in = 4 × 3 in / 3 = 4 × 4 / 3 = 16/3 =

= 5.333333333... ft or 5 1/3 ft

Step-by-step explanation:

RT^2=RS^2+ST^2

RT^2=16+9=25

RT=√25=5

The answer is 5

B. box and whisker plot

A boxplot—sometimes called a box and whisker plot—is a dense display that aims to provide lots of context for any given dataset. The chart visually represents several summary metrics in a single view: minimum: the smallest value maximum: the largest value

Answer:

13.8888888889% or 0.1388888888889

Step-by-step explanation:

Place these 5 possible results of 6 over the total number of possible outcomes for rolling 2 fair 6-sided dice to obtain 5/(6×6) or 5/36 equal to 0.1388888888889 or 13.8888888889% Probability

:) :) :) :) :) :) :)

Answer:

x = −4 and x = 4

Step-by-step explanation:

if you do divide its all the opposite 8÷64=8 4×2=8 8×32=4 or 8÷-2=-4

Answer: the answer is 27 degrees .

Answer:

To find coterminal angles, add or subtract 360 degrees of the terminal angle as many times possible.

To find radians, use this formula:

Degrees × π/180°

Coterminal angles point in the same exact direction.

In degree mode, you can add on 360 degrees to get a coterminal angle.

Example: 90 degrees is coterminal to 450 degrees because 90+360 = 450. Both angles 90 and 450 point directly north.

You can also subtract 360 from the angle to get a coterminal counterpart.

Example: Given the angle 700, it is coterminal to 340 since 700-360 = 340

This process of adding or subtracting 360 can be done as many times as you like.

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

For radian mode, you'll add or subtract 2pi radians to get a coterminal angle. This is because 2pi radians = 360 degrees by definition.

Examples:

Answer:

sq rt 2/2

Step-by-step explanation:

Use unit circle to find the answer.

Answer:

c

Step-by-step explanation:

c

The minimum amount of wrapping paper, in square inches, needed to cover the gift shown in the figure is 614 square inches.

The total surface area of the rectangular prism is the space occupied by each of the face of it. It is the sum of area of all the faces of prism.

Total surface area of the rectangular prism is calculated with the following formula.

[tex]A=2(lb+bh+lh)[/tex]

Here, (b) is the breath of the base (l) is the length and (h) is the height of the rectangular prism.

The minimum amount of wrapping paper required to cover the gift is equal to the surface area of the figure.

The figure is made with different sides, The area of all the sides is equal to the surface area of the figure. The surface area of it is,

[tex]A=2(5\times8)+(15\times8)+(15\times10)+2(\dfrac{1}{2}3\times8)+(15\times5)+(15\times11)\\A=614\rm\;in^2[/tex]

Thus, the minimum amount of wrapping paper, in square inches, needed to cover the gift shown in the figure is 614 square inches.

Learn more about the total surface area of a rectangular prism here;

https://brainly.com/question/15456870

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b.6 because 2 * 3 it will give us six then * it with 3 again it will give you 18

Answer:

[tex]\sf \text{The numbers are $\dfrac{-14}{3} $ and $\dfrac{-7}{3}$}[/tex]

Step-by-step explanation:

Let the numbers be x , y

Sum of two numers = -7

x + y = -7------------(I)

Two times the first number equals 4 the second number.

2x = 4y  ----------(II)

Divide both sides by 2

       [tex]\sf \dfrac{2x}{2}=\dfrac{4y}{2}[/tex]

        x = 2y

Subtitute x = 2y in equation (I)

2y + y = -7

      3y = -7

       y = -7/3

Plugin y = -7/3 in equation (II)

[tex]\sf 2x = 4*\dfrac{-7}{3}\\\\2x = \dfrac{-28}{3}\\\\x =\dfrac{-28}{3*2}\\\\x = \dfrac{-14}{3}[/tex]

Your answer is -1.43

Using the z-distribution, it is found that the 90% confidence interval estimate is given by (0.0373, 0.0627).

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

The sample size and the estimate are given, respectively, by [tex]n = 800, \pi = 0.05[/tex].

Hence, the bounds of the interval are given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 - 1.645\sqrt{\frac{0.05(0.95)}{800}} = 0.0373[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.05 + 1.645\sqrt{\frac{0.05(0.95)}{800}} = 0.0627[/tex]

The 90% confidence interval estimate is given by (0.0373, 0.0627).

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

31/9 :)

Step-by-step explanation:

Lets convert!!

3 x 9 = 27

27 + 4 = 31

31/9

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

31/9

Step-by-step explanation:

how this mixed number shows is that you have 3 and 4/9. what you can do from there would be to multiply 3 by 9 so you can get the fraction 27/9, which is still equal to 3 (you are just changing the look of the number). Now, all you have to do is add that to 4/9 to get 31/9. Hope this helps!  

Answer:

39

Step-by-step explanation:

First find the discount

52 * 25%

52 * .25

13

Subtract that from the original amount

52-13

39

The price is 39 dollars

[tex]height = 3m[/tex]

[tex]volume = 60 {m}^{3} [/tex]

the area of the room.

[tex]l \times w \times h = 60[/tex]

[tex]l \times w \times 3 = 60[/tex]

[tex]l \times w = 20 {m}^{2} [/tex]

therefore, the area of the room is 20 square meters.

Check the picture below.

[tex]\begin{cases} (12x)+(5x-10)+\theta =180\\ ~\hfill \theta +16x = 180 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large 180}}{(12x)+(5x-10)+\theta}~~ = ~~\stackrel{\textit{\Large 180}}{\theta +16x}\implies 17x-10+\theta =\theta +16x \\\\\\ 17x-10=16x\implies 17x=16x+10\implies \boxed{x=10} \\\\[-0.35em] ~\dotfill\\\\ \theta +16x = 180\implies \theta +16(10)=180\implies \theta +160=180\implies \stackrel{\measuredangle C}{\theta} =20[/tex]

Answer:

1 hour did he drive yesterday

Answer:

  A, B, C, E

Step-by-step explanation:

Here, you're being asked to put sets of three numbers in order. In many cases, two of the three numbers are irrational square roots. It can work well here to recognize that the order doesn't change if the numbers are squared. By squaring the numbers involved we can make an easier comparison of rational numbers.

__

a) √5 < 2.3 < √6   ⇒   5 < (2.3² = 5.29) < 6 . . . . true

b) √5 < 2.4 < √6   ⇒   5 < (2.4² = 5.76) < 6 . . . . true

c) √4 < √5 √5.5   ⇒   4 < 5 < 5.5 . . . . true

d) √8 < 3 < √9   ⇒   8 < (3² = 9) < 9 . . . . false

e) √8 < 2.9 < 9   ⇒   8 < (2.9² = 8.41) < 9 . . . . true

f) √4 < 4.5 < √5   ⇒   4 < (4.5² = 20.25) < 5 . . . . false

Answer:

{2;-1;1}.

Step-by-step explanation:

it is possible to make up the system of three equations:

a) g(0)=1: c=1;

b) g(1)=2: a+b+c=2;

c) g(-1)=4: a-b+c=4;

2) the system has the only solution:

[tex]\left[\begin{array}{ccc}c=1\\a+b+c=2\\a-b+c=4\end{array} \ = > \ \left[\begin{array}{ccc}a= 2\\b=-1\\c=1\end{array}[/tex]

4) finally, a=2; b=-1 and c=1.

Answer:

72.8

Step-by-step explanation:

Answer:

$ 28.50

Step-by-step explanation:

6 hoods + 23 = 194

6 hoods = 171

hood = $ 28 . 50