What is the quotient of 1 +i ? 3 +4i​

Answer:

1). Options (B) and (E)

2). First train is going faster than the second train.

Step-by-step explanation:

1). Rate of 2 gallons of vinegar = $3

   Therefore, per gallon rate of vinegar = [tex]\frac{3}{2}[/tex] = $1.5

   In $3 quantity of vinegar chef will get = 2 gallons

   Therefore, quantity of vinegar chef will get in $1 = [tex]\frac{2}{3}[/tex] gallons

Option (A).

Price of 4 gallons = 4 × $1.5 = $6.00

False.

Option (B)

Price of 1 gallon = $1.50

True

Option (C)

Price of 30 gallons = 30 ×$1.5 = $45    

False.

Option (D)

In $2 number of gallons of vinegar chef will get = [tex]\frac{2}{3}\times 2=\frac{4}{3}[/tex] gallons

False

Option (E)

Number of gallons of vinegar chef gets in $1 = [tex]\frac{2}{3}[/tex]

True

Therefore, Options (B) and (E) are the correct.

2). Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]

For first train,

Speed = [tex]\frac{30}{\frac{1}{3}}[/tex]

            = 90 miles per hour

For second train,

 Speed = [tex]\frac{20}{\frac{1}{2}}[/tex]

             = 40 miles per hour

 Since, 90 miles per hour > 40 miles per hour

 First train is going faster than the second train.

Answer:

-2565

Step-by-step explanation:

because all you have to do is subtract the percentage and the actual price of the jewelry so yeah he's paid that much money so yeah

Answer: (A)0.0024 Km (D) 240 cm, (E) 2,400 mm... Hope it helps, have a great day!

Step-by-step explanation:

The measurements that are equivalent to 2.4 meters are

0.0024km, 240cm and 2400mm.

The correct options are (A), (D) and (E).

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor.

A unit conversion expresses the same property as a different unit of measurement.

For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

Given,

measurement = 2.4 meters

1 meter = 1/1000 km

⇒ 2.4 meter = 2.4 /1000 = 0.0024 km

1 meter = 100 cm

⇒ 2.4 meters = 2.4×100 = 240 cm

1 meter = 1000 mm

⇒ 2.4 meters = 2.4×1000 = 2400 mm

Hence, 0.0024km, 240cm and 2400mm are the measurements that are equivalent to 2.4 meters.

Learn more about unit conversion here:

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Answer:

Option (2)

Step-by-step explanation:

Arrow shown on the left hand side of the number line represents the inequality,

x < 5 [No sign of 'equal to' because arrow starts with a hollow circle]

Arrow given on the right hand side of the number line will represent,

x > 18

And these arrows represent the two solution areas of x, so the composite inequality that represents the graph will be,

x < 5 or x > 18

Option (2) will be the answer.

Answer:

u didnt even send an attachment

Step-by-step explanation:

Answer:

10 times 5 =50 (2.69 x 50) = 134.5

10 times 3=30 (1.21x30)= 36.3

Step-by-step explanation:

The difference between the area of Texas and Rhode Island in square miles and scientific notation should be (2.68 × 10⁵) square miles.

Area of Texas = (2.69 × 10⁵) square miles = 269000 square miles

Area of Rhode Island = (1.21 × 10³) square miles = 1210 square miles

Now

Difference between the Area of the Texas and Rhode Island should be

= 269000 - 1210

= 267,790 square miles

= (2.68 × 10⁵) square miles.

Learn more about an area here: https://brainly.com/question/4329157

Answer:

62.5 miles

Step-by-step explanation:

The answer is 62.5 miles because 5 divided by 8 is 0.625 and 0.625 multiplied by 100 is 62.5

Answer:7

Step-by-step explanation:

Answer:

y = 2x - 4

Step-by-step explanation:

Can I ask which variable you are solving?

PS I will assume you need the formula y=mx+b

-2x + y = - 4

Here you would translate the m and x variables to the right side making them positive.

y = 2x - 4

Now the formula is in proper form

Hey :)

If you are solving for x, the answer is: x = y/2 + 2

-2x + y = -4

Subtract y from both sides

−2x = −4 − y

The equation is in standard form:

−2x = − y −4

Divide both sides by −2:

-2x/-2 = -y - 4/-2

Dividing by −2 undoes the multiplication by −2

x = -y -4/-2

Divide −4 −y by −2

x = y/2 + 2

However, if you are solving for y, the answer is: y = −4 + 2x

−2x + y = −4

Add 2x to both sides:

y = −4 + 2x

Hope this helps!

Answer:

0.5728

Step-by-step explanation:

8*7.16/100 =0.5728

Answer:

32

Step by step explanation

Answer:

0+5

Step-by-step explanation:

Hope this helps. :)

Answer:

$5

Step-by-step explanation:

Multiply 0.10 by $50

5

So Angelina saved $5

Hope this helped :)

Answer:

11 3/5 containers

Equivalent to 11.6 containers

Step-by-step explanation:

Total pounds of potato salad = 14 1/2 pounds

Pounds in each container = 1 1/4 pounds

How many containers does she need?

Number of containers needed = Total pounds of potato salad / Pounds in each container

= 14 1/2 ÷ 1 1/4

= 29/2 ÷ 5/4

= 29/2 × 4/5

= (29×4) / (2×5)

= 116/10

= 11 6/10

= 11 3/5 containers

Equivalent to 11.6 containers

Answer:

0.5

Step-by-step explanation:

The rate of change is the same as the slope. The equation y=0.5x+9 is written in slope intercept form, so 0.5 is the slope.

Answer:

Slope: 0.5

Y - Intercept: (0, 9)

x           y

-18        0

0           9

(pretend that's a graph)

Proportional: Ratios are equivalent.

Non-proportional: Ratos are not equivalent.

-18/ 0 is not equal to 0/9.

Undefined                  =0

Non-proportional

Answer:

the answer is C

Step-by-step explanation:

i just went over this question like just now

Answer:

[tex]3^{12}[/tex]

Step-by-step explanation:

[tex]([/tex][tex]3^{5}[/tex][tex])^{2}[/tex]

You multiply the exponents to get:

[tex]3^{10}[/tex]

Then you divide it by [tex]3^{-2}[/tex]

When dividing exponents, you subtract.

10 - - 2 = 12 so the exponent is 12.

That leaves us with:

[tex]3^{12}[/tex]

Given:

Consider the pentagon MVEDR is dilated with the origin as the center of dilation using the rule [tex](x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)[/tex] to create pentagon M'V'E'D'R'.

To find:

The correct statement.

Solution:

If a figure dilated by factor k, then the rule of dilation is

[tex](x,y)\to (kx,ky)[/tex]

Here,

If k>1, then the image is larger than the original figure.

If k<1, then the image is smaller than the original figure.

We have,

[tex](x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)[/tex]

Here, M'V'E'D'R' is image and MVEDR is original figure. The scale factor is

[tex]k=\dfrac{2}{3}<1[/tex]

Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is less than 1.

Therefore, the correct option is B.

  Option (B). Pentagon M'V'E'D'R' is smaller than pentagon MVDER because the scale factor is less than 1.

           image point formed will follow the rule,

           (x, y) → (kx, ky)

            If k < 1, image will be smaller than the preimage.

Given in the question,

Rule for the transformation → [tex](x,y)\rightarrow (\frac{2}{3}x,\frac{2}{3}y)[/tex]

Here, [tex]k=\frac{2}{3}[/tex] which is less than 1.

      Therefore, image pentagon M'V'E'D'R' will be smaller than the original pentagon MVDER.

      Option (B) will be the correct option.

Learn more about the transformation of a figure here,

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Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x^2-2x^3+3x

Answer:

Step-by-step explanation:

Add them together

-2[tex]X^3[/tex] + 2[tex]X^2[/tex] + 3x

Answer:

Lumberrum2 [tex]x^{2} \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \pi \alpha \frac{x}{y}[/tex]

Step-by-step explanation:

Answer:

x = 20

p = 144

y = 144

Step-by-step explanation:

Vertically opposite angles are equal.

2x - 4 = 96 - 3x

2x + 3x -4 = 96

    5x - 4 = 96

         5x = 96+4

         5x = 100

           x = 100/5

           x = 20

2x - 4 = 2*20 - 4 = 80 - 4

         = 36

p + (2x - 4) = 180  {linear pair}

p + 36 = 180

        p = 180 - 36

        p = 144

y =  p        {vertically opposite angles}

y = 144

Answer:

The average rate of change is 76.8

Step-by-step explanation:

The average rate of change is ;

f(b)-f(a)/b-a

where ; a is 11 and b is 15

f(11) = 0.01(2)^11 = 20.48

f(15) = 0.01(2)^15 = 327.68

The average rate of change will

be;

(327.68-20.48)/15-11 = 307.2/4 = 76.8

Answer:

76.8

Step-by-step explanation:

So u basically do

f(11) = 0.01(2)^11 = 20.48

f(15) = 0.01(2)^15 = 327.68

The average rate of change will be uh 76.8

(327.68-20.48) /1 5-11 = 307.2/4

= 76.8

Hope this helps

~~Wdfads~~

Answer:

[tex]c + h = 5[/tex] and

[tex]0.75c + 1.10h = 4.55[/tex]

Step-by-step explanation:

Assume that Mike bought only cookies and hot dogs.

The total can be represented as:

[tex]Cookies + Hot\ Dogs = 5[/tex] --- (1)

And the amount spent can be represented as:

[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex] --- (2)

Required

Determine the system of equation

Let c represents the number of cookies and h, number of hot dogs.

[tex]Cookies + Hot\ Dogs = 5[/tex] implies [tex]c + h = 5[/tex]

And

[tex]Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55[/tex]

Cost of cookies = 0.75 * c

Cost of hot dogs = 1.10 * h

So, we have:

[tex]0.75c + 1.10h = 4.55[/tex]

Hence, the equations are:

[tex]c + h = 5[/tex] and

[tex]0.75c + 1.10h = 4.55[/tex]

Solving for c and h

Make c the subject in [tex]c + h = 5[/tex]

[tex]c = 5 - h[/tex]

Substitute 5 - h for c in [tex]0.75c + 1.10h = 4.55[/tex]

[tex]0.75(5- h) + 1.10h = 4.55[/tex]

[tex]3.75- 0.75h + 1.10h = 4.55[/tex]

[tex]3.75 +0.35h = 4.55[/tex]

Collect Like Terms

[tex]0.35h = 4.55 - 3.75[/tex]

[tex]0.35h = 0.8[/tex]

Solve for h

[tex]h = 0.8/0.35[/tex]

[tex]h = 2.28571428571[/tex]

[tex]h =2[/tex] -- approximated

Recall that:

[tex]c = 5 - h[/tex]

[tex]c = 5 - 2[/tex]

[tex]c =3[/tex]

Answer:

Your answer is 34 1/2, have a great day and happy holidays!

Step-by-step explanation:

Answer:

34 1/2

if you use the distributive property and multiply 11×3 you would get 33 then multiply 1/2×3 you get 3/2 or 1 1/2 then add 33+1 1/2 and you get 34 1/2. hope this helped.

Answer:

$31.56

Step-by-step explanation:

$9.85 × 4 = $39.40

$39.40 25% off is $29.55

6.75% rounded to the nearest cent 6.80%

Sales tax is $2.01

$29.55 + $2.01 = $31.56

Answer:

point A (6,13) lies on the equation.  True

given point  B(21,33) lies on the equation.  True

given point  C (99, 137) lies on the equation.  True

The equation that was given was  y = 4/3x + 5

Now,check the given equation for the given points.

1)  A (6,13)

Substitute x = 6 in the given equation y = 4/3x +5

y = 4/3(6) + 5 = 4(2) + 5 = 8+5 = 13

y=13

the given point A (6,13) lies on the equation.

2)  B  (21,33)

Substitute x = 21 in the given equation y=4/3x+5

y=4/3(21) + 5 = 4(7) + 5=28+5=33

y = 33

the given point  B(21,33) lies on the equation.

3)  C (99, 137)

Substitute x = 99 in the given equation y = 4/3x + 5

y=4/3(99) + 5 = 4(33) + 5 = 132 + 5 = 137

y = 137

the given point  C (99, 137) lies on the equation.

There is your answer

Answer:

$1368

Step-by-step explanation:

Income from dividends = price per share x number of dividends purchased

$3.42 x 400 = $1368

Answer:

The union of these sets is:

Step-by-step explanation:

Given the sets

The union of two sets K and L is the collection of elements that are in K or in L or in both K and L

The 'union' of two sets is denoted by the symbol 'U'.

Therefore, the union of these sets is:

Important Note: The duplicate or repeated elements of the sets are written only once.