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NemiM [27]
3 years ago
7

Simplified form of (3-5i)^2​

Mathematics
1 answer:
Likurg_2 [28]3 years ago
4 0

Answer:

-16 - 30i

Step-by-step explanation:

(3-5i)^2​ = (3-5i) * ​(3-5i)

Applying the "FOIL" method of expanding this expression through multiplication, we get:

9 - 15i - 15i - 25    (since i^2 = -1)

Simplifying this result, we get -16 - 30i

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A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z feet. It costs $4.30 per square
almond37 [142]

Answer:

C=$(4.30xy+5.40(xz+yz))

Step-by-step explanation:

Surface Area of a Cuboid=2(LW+LH+HW)

Since the top is open

Surface Area = LW+2(LH+HW)

If Length = x feet,

Width =y feet

Height = z feet

Surface Area = xy+2(xz+yz)

Area of the base=xy

If it costs $4.30 per square foot to build the base

Cost of the base=Cost Per Square Foot X Area = $4.30xy

Area of the sides =2(xz+yz)

If it costs $2.70 per square foot to build the sides

Cost of the sides=Cost Per Square Foot X Area of the sides

= 2.70 X 2(xz+yz)

=5.40(xz+yz)

Cost of Constructing the Box = Cost of Constructing the Base + Cost of Constructing the Sides.

Therefore,

C=$(4.30xy+5.40(xz+yz))

7 0
3 years ago
I Need some help on this assignment Also the second half to the problem how much will be spent on the job from the 10 to 20th da
Alona [7]

Explanation

f(x)=4.1x+1.9

where x is the number of days since the start of the job

and f(x) is the rate of change

Step 1

a)find the total expenditure if the job takes 12 days

so, as x represents the number of days, just replace and calculate

let x= 12

\begin{gathered} f(x)=4.1x+1.9 \\ f(12)=4.1(12)+1.9 \\ f(12)=49.2+1.9 \\ f(12)=51.1 \end{gathered}

so

a) 51.1

Step 2

now, let's find the total spent on the job from the 10 to 20th day

a) find the x value ( number of days since the job started)

x= 20 days-10dys= 10

so

x= 10

8 0
2 years ago
Help needed. Will mark brainliest. Please help:c
Alja [10]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost of owning and operating a printer :

Purchase Cost = $100

Printing per per page = $0.05

Thus, owning and operating cost :

Purchase cost + (Printing per page * number of pages)

Number of pages = p

100 + 0.05p

Service cost :

Amount per page = 0.25

Total revenue = cost per page * number of pages

Total revenue from service =. 0.25p

The equation :

100 + 0.05p = 0.25p ; is the owning and operating cost = total revenue

It gives the equation to calculate the number of pages at which total revenue equals owning and operating cost.

100 + 0.05p = 0.25p

100 =0.25p - 0.05p

100 = 0.20p

p = 100/0.2

p = 500

When number of pages equals 500; the owning and operating cost is equal to the revenue made.

7 0
3 years ago
Spending a day observing a professional in his or her work
xz_007 [3.2K]
Particularly a job shadow!
5 0
4 years ago
Read 2 more answers
2x - 2y = 22 find the value of y when x equals 2
Vika [28.1K]

Answer:

y=-9

Step-by-step explanation:

If x equals 2, then we can substitute that into the equation, resulting in the equation 2*2-2y=22

We can solve for multiplication first:

4-2y=22

Then we can subtract four on both sides, canceling out the four on the left side:

-2y=18

Now to isolate y, we divide both sides by -2, resulting in the solution:

y=-9

Hope this helps!

6 0
3 years ago
Read 2 more answers
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