Of 57 cars making up a freight train, 23 are boxcar. What fraction of the cars are not boxcars?

Answer:

Step-by-step explanation:

Given the following complex numbers, we are to expressed them in the form of a+bi where a is the real part and b is the imaginary part of the complex number.

1) (2-6i)+(4+2i)

open the parenthesis

= 2-6i+4+2i

collect like terms

= 2+4-6i+2i

= 6-4i

2)  (6+5i)(9-2i)

= 6(9)-6(2i)+9(5i)-5i(2i)

= 54-12i+45i-10i²

= 54+33i-10i²

In complex number i² = -1

= 54+33i-10(-1)

= 54+33i+10

= 54+10+33i

= 64+33i

3) For the complex number 2/(3-9i), we will rationalize by multiplying by the conjugate of the denominator i.e 3+9i

= 2/3-9i*3+9i/3+9i

=2(3+9i)/(3-9i)(3+9i)

= 6+18i/9-27i+27i-81i²

= 6+18i/9-81(-1)

= 6+18i/9+81

= 6+18i/90

= 6/90 + 18i/90

= 1/15+1/5 i

4) For (3 − 5i)(7 − 2i)

open the parenthesis

= 3(7)-3(2i)-7(5i)-5i(-2i)

= 21-6i-35i+10i²

= 21-6i-35i+10(-1)

= 21-41i-10

= 11-41i

  Simplified form of the given expressions will be,

1). 6 - 4i

2). 64 + 33i

3). [tex]\frac{1}{15}+\frac{1}{5}i[/tex]

4). [tex]\frac{31}{53}-\frac{31}{53}i[/tex]

1). In a complex number (a + bi),

    a = Real part of the complex number

   bi = Imaginary part

     Expression given in the question → (2 - 6i) + (4 + 2i)

Rule to solve the given expression,

"Add real part and imaginary part of two complex numbers separately"

(2 - 6i) + (4 + 2i) = (2 + 4) + (-6i + 2i)

                         = 6 + (-4i)

                         = 6 - 4i

  Therefore, simplified form of the given expression will be (6 - 4i).

2). Given expression → (6 + 5i)(9 - 2i)

Rule to solve the expression → i² = -1

(6 + 5i)(9 - 2i) = 6(9 - 2i) + 5i(9 - 2i)

                       = 54 - 12i + 45i - 10i²

                       = 54 - 12i + 45i + 10 [Since, i² = -1]

                       = (54 + 10) + (45i - 12i)

                       = 64 + 33i

     Therefore, simplified form of the given expression will be (64 + 33i).

3). Given expression → [tex]\frac{2}{3-9i}[/tex]

Multiply numerator and denominator with the conjugate of (3 - 9i) to convert the expression into (a + bi).

[tex]\frac{2}{3-9i}= \frac{2(3+9i)}{(3-9i)(3+9i)}[/tex]

       [tex]=\frac{2(3+9i)}{3^2-(9i)^2}[/tex]

       [tex]=\frac{6+18i}{9-81(-1)}[/tex]

       [tex]=\frac{6+18i}{9+81}[/tex]

       [tex]=\frac{6+18i}{90}[/tex]

       [tex]=\frac{6(1+3i)}{90}[/tex]

       [tex]=\frac{1}{15}+\frac{1}{5}i[/tex]

    Therefore, simplified form of the given expression will be [tex]\frac{1}{15}+\frac{1}{5}i[/tex]

4). Given expression → [tex]\frac{(3-5i)}{(7-2i)}[/tex]

Multiply numerator and denominator with the conjugate of the denominator.

[tex]\frac{(3-5i)}{(7-2i)}=\frac{(3-5i)(7+2i)}{(7-2i)(7+2i)}[/tex]

         [tex]=\frac{3(7+2i)-5i(7+2i)}{7^2-(2i)^2}[/tex]

         [tex]=\frac{21+4i-35i-10i^2}{49-4(-1)}[/tex]

         [tex]=\frac{21-31i+10}{53}[/tex]

         [tex]=\frac{31-31i}{53}[/tex]

         [tex]=\frac{31}{53}-\frac{31}{53}i[/tex]

  Therefore, simplified form of the given expression will be [tex]\frac{31}{53}-\frac{31}{53}i[/tex].

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Answer:

The answer is "239.62%".

Step-by-step explanation:

Given value:

[tex]\bold{\sin(x)=x- \frac{x^3}{3!}+\frac{x^5}{5!} - \frac{x^7}{7!}+....}[/tex]

Solve the first three values:

[tex]\sin(x)=x- \frac{x^3}{3!}+\frac{x^5}{5!}[/tex]

put the value of sin(4.1):

[tex]\to \sin(4.1)=(4.1)- \frac{(4.1)^3}{3!}+\frac{(4.1)^5}{5!} \\\\[/tex]

                 [tex]=(4.1)- \frac{(4.1)^3}{3!}+\frac{(4.1)^5}{5!} \\\\=(4.1)- \frac{68.92}{3 \times 2\times 1}+\frac{1158.56}{5\times 4 \times 3 \times 2 \times 1}\\\\[/tex]

                 [tex]=(4.1)- 11.48+9.65\\\\= 2.27[/tex]

The actual value of [tex]\sin(4.1) = -1.59[/tex]

Calculating the percentage relative approximate error value:

Formula:

[tex]=\frac{actual \ value - \ approx \ value }{actual \ value} \times 100\\\\[/tex]

[tex]=\frac{-1.59 - 2.27 }{-1.59} \times 100\\\\= \frac{-3.81}{-1.59} \times 100\\\\= \frac{3.81}{1.59} \times 100\\\\=239.62 \ \%[/tex]

Answer:

  divide by 5: x = 13/5 = 2.6

Step-by-step explanation:

Make use of the properties of the multiplicative inverse and the multiplication identity element. Multiplying both sides of the equation by the multiplicative inverse of the coefficient of x makes the result be 1x on the left side.

  (1/5)(5x) = (1/5)(13)

  1x = 13/5

The multiplicative identity element (1) does not change the value of what it multiplies, so this simplifies to ...

  x = 13/5

_____

Effectively, we divide (both sides) by 5.

Answer:

The circumference is pi times larger than the diameter of a circle.

Step-by-step explanation:

The formula of the circumference of a circle is

C = 2(pi)r = (pi)d

C = (pi)d

To find the ratio of the circumference to the diameter, divide both sides of the equation by d.

C/d = pi

The circumference is pi times larger than the diameter of a circle.

Answer:

3 33/40 or 153/40

Step-by-step explanation:

For first answer change the decimal .825 into fraction by making it over 1000. Then Simplify. For the second answer, take the first answer, multiply 3 with 40 and add 33. In the end both answers are equivanlent.

Answer:

x = 7

42, 35, 7

Step-by-step explanation:

Point F is on line segment of EG, therefore EG = EF + FG

Then

Steps to solve:

(3x - 10) = 149

~Add 10 to both sides

3x = 159

~Divide 3 to both sides

x = 53

Best of Luck!

Answer:

[tex] x = \frac{6 \pm \sqrt{(-6)^2 - 4(3)(8)}}{2(3)} [/tex]

Step-by-step explanation:

Given the equation, [tex] 3x^2 - 6x + 8 = 0 [/tex], the quadratic formula for solving this equation is given as:

[tex] x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

Where,

a = 3

b = -6

c = 8

Plug in the above values into the quadratic formula.

[tex] x = \frac{-(-6) \pm \sqrt{(-6)^2 - 4(3)(8)}}{2(3)} [/tex]

[tex] x = \frac{6 \pm \sqrt{(-6)^2 - 4(3)(8)}}{2(3)} [/tex]

Answer:

55 mph

Because he drives to new york to boston in 4 hours and its 220 miles so 220 is the miles and you divide by the hours so 4 hours so he drove 55 mph

Answer:

i cant see it

Step-by-step explanation:

umm

Step-by-step explanation:

hope this helps

20 cent per inch

Answer:

14x^8-18x^3+43x^2+24x-15

Answer:

37°

Step-by-step explanation:

32+2x-16=90

2x+16=90

2x=90-16

2x=74

x=37

Answer:

c

Step-by-step explanation:

choice A means

[tex]11 - 2 {m}^{3} [/tex]

choice B means

[tex]2m - 11[/tex]

choice C means which is the answer

[tex] {2m}^{3} - 11[/tex]

choice D means

[tex] {(2m)}^{3} - 11[/tex]

hope it helps ❤❤❤

For any question comment me

Answer:

To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.

plz give brainlist

hope this helped

Ansewern

I think you forgot the stament and please add it so i can helpyou out with it.

Step-by-step explanation:

Answer:

  2.60 inches

Step-by-step explanation:

Map and actual distances are proportional. So the map distance m for 30.9 miles will be related to the actual distance in the same way the scale is:

  m/30.9 = 1/11.9

  m = 30.9/11.9 ≈ 2.5967

The length on the map is about 2.60 inches.

Answer:

Line UM.

Step-by-step explanation: you can name a line by naming at least two points on it.

Line l can be called line UM, line LM, and line UL because line l is contained in plane S.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

m is the ratio of the line,

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases.

It is given that:

A plane S contains a line l.

It is possible to give a name for line l in different ways.

The line l can be called:

Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other are known as parallel lines.

Thus, line l can be called line UM, line LM, and line UL because line l is contained in plane S.

Learn more about the straight line here:

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Negotiating in trade means you are coming to an agreement on an item's value option (A) is correct.

The goal of negotiation is to obtain an agreement on one or more contentious issues between two or more parties.

As we know,

On the other hand, trade negotiation is a procedure whereby countries come together to talk about the potential for trade with the aim of arriving at a trade agreement.

When you bargain in trade, you're settling on a price for a product.

Thus, negotiating in trade means you are coming to an agreement on an item's value option (A) is correct.

Learn more about the negotiations here:

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Answer:

12 in

Step-by-step explanation:

she has square pillow, so 12*12=144 sq in

Answer:

plz show the pic so I can understand

Answer:

Step-by-step explanation:

y - 5 = 3(x + 1)

y - 5 = 3x + 3

y = 3x + 8

answer is C

Answer:

D. 2.7

Step-by-step explanation:

Given

[tex]Mean = 8.0[/tex]

[tex]n = 20[/tex]

[tex]Range = 2.5\ to\ 12.0[/tex]

Required

Estimate the standard deviation

Since, the given data has incomplete parameters, we can apply the range rule to estimate the standard deviation;

This is done as follows;

[tex]S.D = \frac{1}{4}(Max - Min)[/tex]

In this case:

[tex]Max = 12.0[/tex]

[tex]Min = 2.5[/tex]

So:

[tex]S.D = \frac{1}{4}(Max - Min)[/tex]

[tex]S.D = \frac{1}{4}(12.0 - 2.5)[/tex]

[tex]S.D = \frac{1}{4}(9.5)[/tex]

[tex]S.D = 2.375[/tex]

From the list of given option, the closest to 2.375 is 2.7;

Hence, the best estimate is 2.7

The correct option is D. 2.7

Given that,

The standard deviation should be

[tex]= \frac{1}{4} (12 - 2.5)\\\\ = \frac{1}{4} (9.5)[/tex]

= 2.375

= 2.7

Find out more information about standard deviation here:

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Answer:

(2,3) and (7,10)

Step-by-step explanation:

Use the slope 5/7 to get to a new point by moving up 5 units and moving to the right 7 units.

If the coordinate point is (x, y) then the coordinate of the other point will be (x + 5, y + 7).

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The slope is the ratio of the rise or fall and run.

The slope is 5/7. The rise is 5 and the run is 7.

If the coordinate point is (x, y) then the coordinate of the other point will be (x + 5, y + 7).

More about the coordinate geometry link is given below.

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Answer:

Step-by-step explanation:

2x + 5y = 7 ......... Equation 1

x = 2 - 4y .......... Equation 2

Substitute x that's equation 2 into equation 1 and solve for y

That's

2( 2 - 4y ) + 5y = 7

4 - 8y + 5y = 7

- 3y + 4 = 7

- 3y = 7 - 4

- 3y = 3

Divide both sides by - 3

y = - 1

Substitute the value of y into equation 1

That's

x = 2 - 4(-1)

x = 2 + 4

x = 6

Therefore the solutions are

Hope this helps you

Answer:

Step-by-step explanation

0.03.

Answer:

5 units

Step-by-step explanation:

If point T is on the line segment SU, then ST + TU = SU.

Given

TU = 4x + 1

SU = 8

ST =  3x

To get TU, we need to get the value of x first. To get x, we will substitute the given parameters into the formula;

3x+4x+1 = 8

7x+1 = 8

subtract 1 from both sides

7x+1-1 = 8-1

7x = 7

divide both sides by 7

7x/7 = 7/7

x = 1

Substitute x = 1 into the length TU

Since TU = 4x+1

TU = 4(1)+1

TU = 5

Hence the numerical length of TU is 5 units

Answer:

____________________

68% of 56000 is 38080.

I guess that'd be the amount of people that recovered.

____________________

Step-by-step explanation:

f(x)=-1/3x-2=x

3x²-2x-1=o

(3x-1)(x+1)=o

x=1/3(or)x=-1