Write (5 – 8i)2 in simplest a + bi form.

Answer:

  w = 73°

Step-by-step explanation:

The relations involved in solving this figure are ...

__

The linear pair at lower left gives us a relation we can solve for x:

  x +(3x -24) = 180

  4x = 204

  x = 51

Then the sum of angles inside the quadrilateral is ...

  w +(x +15) +(2x -10) +(3x -24) = 360

  w +(51 +15) +(2(51) -10) +(3(51) -24) = 360

  w +66 +92 +129 = 360

  w = 360 -287 = 73

Angle W is 73°.

_____

Additional comment

The remaining angles are supplementary to those inside the quadrilateral:

  v = 180° -w = 107°

  y = 180° -92° = 88°

  z = 180° -66° = 114°

  x = 51°

Answer:

c

Step-by-step explanation:

c

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:

  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

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

#SPJ1

Your answer is -1.43

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

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:

sq rt 2/2

Step-by-step explanation:

Use unit circle to find the answer.

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

Answer:

72.8

Step-by-step explanation:

Answer:

$ 28.50

Step-by-step explanation:

6 hoods + 23 = 194

6 hoods = 171

hood = $ 28 . 50

Answer:

Your answer would be (36,72)

Step-by-step explanation:

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

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

Step-by-step explanation:

RT^2=RS^2+ST^2

RT^2=16+9=25

RT=√25=5

The answer is 5

Answer:

1/12

Step-by-step explanation:

so we know the total you have is a 12 dice cube yes? yes.

there fore you denomanator is the the total of everything-12.

there's only 1 #2 on the 12 sided dice this cause you to get 1/12

Answer: the answer is 27 degrees .

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

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

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:

1 hour did he drive yesterday

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]

Using it's concept, it is found that due to the lowest Mean Absolute Deviation, his scores were closest together in Math.

Of the four classes, Math was the lower MAD, hence it has the scores that are closest together.

More can be learned about the Mean Absolute Deviation at https://brainly.com/question/3250070

[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.

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!  

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

[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]