10/2i?
(dividing complex numbers)​

Answer:

A

Step-by-step explanation:

Answer:

The answer to your question is 320

We don't know what tax percentage or amount is so we have to keep this part out.

Add to find how much she paid with.

10 + 5 = $15

Subtract to find how much she paid.

15 - 4.68 = $10.32

Divide to find the unit price.

10.32 / 2.4 = $4.30 per gallon

Best of Luck!

Answer:

y = 3/4 x - 5

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals. We find the slope of the given line. Then we can find the slope of the reciprocal.

4x + 3y = -6

Solve for y.

3y = -4x - 6

y = -4/3 x - 2

The slope of the original line is -4/3.

The slope of the perpendicular is 3/4.

Now we need to find the equation of line with slope 3/4 that contains point (4, -2).

y = mx + b

-2 = (3/4)(4) + b

-2 = 3 + b

-5 = b

b = -5

The equation is

y = 3/4 x - 5

Answer:

A total of 119 Specials were sold today.  Chicken Littles had the highest number sold, which represents about 21% (25/119 * 100) of the total sales and a cost of 24% of the total costs.  This was followed by Huge Burger and Coney Dog which were sold 20 each or about 17% of the number sold.  Poker Burger, Baby Burger, and Yummy trailed behind with total sales of 19, 18, and 17 respectively.

Step-by-step explanation:

a) Data and Calculations:

SPECIAL            NUMBER SOLD  Percentage   COST      Percentage

Huge Burger                20           17%                 $2.95        20%

Baby Burger                 18            15%                 $1.49         10%

Chicken Littles            25           21%                 $3.50         24%

Porker Burger              19            16%                $2.95        20%

Yummy Burger             17            14%                 $1.99         13%

Coney Dog                  20            17%                 $1.99         13%

Total Specials Sold    119          100%               $14.87        100%

Answer:

(10x⁴ - 52x³ + 5x² + 246x - 196) ft²

Step-by-step explanation:

The figure can be divided into two rectangles: the small rectangle and the large rectangle.

Dimensions of the small rectangle:

Length (l) = (x) ft

Width (w) = (x² - 6) - (5x - 14) = x² - 6 - 5x + 14 = (x² - 5x + 8) ft

Area of small rectangle = l*w = (x)(x² - 5x + 8)

Area = x(x²) - x(5x) + x(8) (using distributive property)

Area of small rectangle = (x³ - 5x² + 8x) ft²

Dimensions of large rectangle:

Length (l) = (2x³ - 5x² - 12x + 14) ft

Width (w) = (5x - 14) ft

Area of large rectangle = l*w = (2x³ - 5x² - 12x + 14)(5x - 14)

2x³(5x - 14) - 5x²(5x - 14) - 12x(5x - 14) + 14(5x - 14) (distributive property)

10x⁴ - 28x³ - 25x³ + 70x² - 60x² + 168x + 70x - 196

Combine like terms

Area of large rectangle = (10x⁴ - 53x³ + 10x² + 238x - 196) ft²

Area of figure = area of small rectangle + area of large rectangle

= (x³ - 5x² + 8x) + (10x⁴ - 53x³ + 10x² + 238x - 196)

Open parentheses

= x³ - 5x² + 8x + 10x⁴ - 53x³ + 10x² + 238x - 196

Combine like terms and arrange in standard form (from the greatest degree to the least)

= 10x⁴ + x³ - 53x³ - 5x² + 10x² + 8x + 238x - 196

= 10x⁴ - 52x³ + 5x² + 246x - 196

Area of the figure = (10x⁴ - 52x³ + 5x² + 246x - 196) ft²

Answer:

second option

Step-by-step explanation:

Substitute x = f(x) into g(x) , that is

g(f(x))

= g(x + 2)

= [tex]\sqrt{x+2-9}[/tex]

= [tex]\sqrt{x-7}[/tex]

Answer:

Step-by-step explanation:

This problem requires to test our understanding of unit conversion, and we are expected to present our answer in an acre

first, let us convert from the yard to feet

given that the dimension of the pitch is

120 yards by

53.333 yard

1 yard is 3 foot

120 yards will give x

cross multiply we have

x1= 120*3

x1= 360 feet

also the second dimension is

x2= 53.333*3

x2= 159.999

x2= 159.999 feet

the area of the pitch is

area= 159.999*360

area= 57599.64 ft^2

Note: an acre is a unit for land area (1 acre=43560 ft^2)

if 1 acre = 43560 ft^2

x acre =  57599.64 ft^2

cross multiply we have

x acre =  57599.64/43560

x acre = 1.32 acre

Answer:

( f - g ) (x) f (x) = 2x^2 - 2  

g (x) = 4x + 1

answers in pics

Answer: well this really depends on how many cookies were there in the first place if there was 9 you would have eaten 4 if there was 18 you would have eaten 8.

Answer:

Answer is this or not

Step-by-step explanation:

16x^4y^3/3

The answer is a 577 foot difference

Answer:

X(s) = 2/[s³(s + 9)]

Step-by-step explanation:

Here is the complete question

Solve for the function X(s) in the Laplace domain by taking the Laplace transform of the following differential equations with given initial conditions.

dx/dt + 9x = 16t²     x(0) = 0 and dx(0)/dt = 5

Solution

dx/dt + 9x = 16t²

Taking the Laplace transform of the differential equation, we have

L{dx/dt + 9x} = L{16t²}

L{dx/dt} + L{9x} = L{16t²}

L{dx/dt} + 9L{x} = 16L{t²}

sL{x} - x(0) + 9L{x}  = 16L{t²}

L{x} = X(s)

L{t²} = 2!/s³

Substituting X(s) and L{t²} into the equation above, we have

sX(s) - x(0) + 9X(s) = 2!/s³

Substituting x(0) = 0 into the equation above, we have

sX(s) - x(0) + 9X(s) = 2!/s³

sX(s) - 0 + 9X(s) = 2!/s³

sX(s) + 9X(s) = 2!/s³

Factorizing X(s), we have

(s + 9)X(s) = 2!/s³

X(s) = 2/[s³(s + 9)]

So X(s) in the Laplace domain is

X(s) = 2/[s³(s + 9)]

Answer:

-1/3

Step-by-step explanation:

Since we are given two points, we can find the slope using

m = ( y2-y1)/(x2-x1)

   = ( -1-2)/( 6- -3)

   = ( -1-2) /( 6+3)

   = -3/9

    = -1/3

Answer:

Slope (m) = [tex]\frac{-1}{3}[/tex] = -0.33333333...

Step-by-step explanation:

Slope (m) = ΔY -1

                   ΔX  3

(m)= -1/3

Answer:

it depends on what ur multipling

Answer:

ok

Step-by-step explanation:

what

Use point slope equation.

Since parallel, the slope is the same. Then jsut plug in the numbers to the formula (u can google this)

y - 10 = 2 (x - 7)

^^this is point slope form

for slope intercept:

y = 2x - 4

Answer:

[tex]y=2x-4[/tex]

Step-by-step explanation:

So we want to write an equation of a line that goes through the point (7,10) and is parallel the the line y=2x+5.

First, we can determine the slope of our new line. Parallel lines always have the same slope. In other words, the slope of our new line must also be 2.

Now, we can use the point-slope form to find our equation:

[tex]y-y_1=m(x-x_1)[/tex]

Let's let (7,10) be x₁ and y₁. Let's also substitute 2 for m. Thus:

[tex]y-10=2(x-7)[/tex]

Distribute:

[tex]y-10=2x-14[/tex]

Add 10 to both sides:

[tex]y=2x-4[/tex]

And we're done!

Answer:

Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

Step-by-step explanation:

Answer:

an integer is a rational number

Step-by-step explanation:

Answer:

Step-by-step explanation:

x/3 ≤ -6

x ≤ -18

answer is B

Answer:

B

Step-by-step explanation:

it is simple easy..first you have to through your 3 become times with -6,then you have your answer

Answer:

Distance problems are word problems that involve the distance an object will travel at a certain average rate for a given period of time.

The formula for distance problems is: distance = rate × time or d = r × t.

Things to watch out for:

Make sure that you change the units when necessary. For example, if the rate is given in miles per hour and the time is given in minutes then change the units appropriately.

It would be helpful to use a table to organize the information for distance problems. A table helps you to think about one number at a time instead being confused by the question.

Step-by-step explanation:

Answer:

the answer to your question is 7/4

Answer:

5.6666666666667 grams/cubic centimeters

Step-by-step explanation:

teps:

ρ =    m / v

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~  

17 gram s / 3 cubic centimeter

=  5.6666666666667 grams/cubic centimeter

I believe this is correct unless you need to round it up

I hope I helped

Answer:

5.67g/cm³

Step-by-step explanation:

Density =mass ÷ volume

17÷3=5.67

Answer:

if im correct -5^3

Step-by-step explanation:

Answer:

A

[tex]f(x+ h)  =  6x + 6h -3[/tex]

B

[tex]f(x+ h) -  f(x) =   6h[/tex]

C

 [tex]\frac{f(x + h) - f(x)}{h}   =  6[/tex]

Step-by-step explanation:

From  the question the given equation is  

     [tex]f(x) =  6x -3[/tex]

Considering A

      [tex]f(x+ h)  =  6(x + h) -3[/tex]

=>    [tex]f(x+ h)  =  6x + 6h -3[/tex]

Considering B

     [tex]f(x+ h) -  f(x) =  6x +6h -3 - (6x-3)[/tex]

     [tex]f(x+ h) -  f(x) =   6h[/tex]

Considering C

    [tex]\frac{f(x + h) - f(x)}{h}  =  \frac{6h}{h}[/tex]

    [tex]\frac{f(x + h) - f(x)}{h}   =  6[/tex]

Answer:

Hey there!

1000 meters are in one kilometer, so 3500 meters are in 3.5 kilometers.

Hope this helps :)

Answer:

3,500 meters

Step-by-step explanation:

So this is conversation rates. So how I like to remember conversion rates in the metric system is King Henry Doesn't Usually Drink Chocolate Milk.

K=Kilo, H=Hecto, D=Deca, U=Unit (meters, liter, grams), D=Deci, C=Centi, M=Milli.

SO between meters (which is the U) and kilometers (which is the K), there's 3 letters so kilometers is 1000 times greater than meters. SO 3.5*1000=3500.

Hope this helped