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Yakvenalex [24]
3 years ago
11

Multiply: (-4 + i)(-1 + 5i)

Mathematics
1 answer:
Olegator [25]3 years ago
3 0

Answer:

( - 4 + i) ( - 1 + 5i) \\  = 4 - 20i - 1i + 5 {i}^{2}  \\  = 4 - ( -21i )+ 5i {}^{2}

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A teacher covered the exterior of a rectangular prism-shaped box that measured 8 inches by 9 inches by 10 inches using one sheet
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Answer:

380 square inches

Step-by-step explanation:

We are given the measurements of the Rectangular Prism as

8 inches by 9 inches by 10 inches

Where based on the order of arrangement:

8 inches = Length

9 inches= Width

10 inches = Height

Step 1

Find the amount of wrapping paper needed

Perimeter = 2L + 2W

= 2 × 8 + 2 ×9

= 16 + 18

= 34 inches

Base = L × W

= 8 × 9

= 72 inches

Surface Area of the Rectangular Prism =PH + 2B

Where P = Perimeter

H = Height

B = Base

= 34 × 10 + 2× 72

= 340 + 144

= 484 square inches

The area of the Rectangular prism = 484 square inches

Step 2

So we were told that she used wrapping paper the measured 2 feet by 3 feet.

We would convert the values in feet to inches

1 ft = 12 inches

Length = 2 ft = 2 × 12 = 24 inches

Width = 3 ft = 3 × 12 = 36 inches

We find the area of the wrapping paper

Length × Width = 24inches × 36 inches = 864 square inches.

Step 3

The amount of square inches of wrapping paper left over is calculated as:

Area of the wrapping paper used - Area of the Rectangular prism

= 864 square inches - 484 square inches

= 380 square inches.

Therefore, the amount of square inches of wrapping paper left over is 380 square inches.

5 0
3 years ago
Examples of equivalent mixed numbers
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2/4 and 1/2

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3 years ago
Jonathan is in a class of 15 boys and 35 girls.40%of the students in the class take the bus to school how many students do not t
sertanlavr [38]
40% of 40
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7 0
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S 61 – 9u = 10
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Answer:

Step-by-step explanation:

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In Exercise,find the balance in the account after 10 years.
djverab [1.8K]

Answer: The balance in the account after 10 years is $3374.65

Step-by-step explanation:

The exponential equation for growth [ compounded continuously] is

y=pe^{rt}

, where P= Present value

r= growth rate  ( in decimal)

t= time (years)

By considering the given information , we have

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Substitute all the values in the above equation , we get

y=2500e^{0.03(10)}

y=2500e^{0.3}

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Therefore, the balance in the account after 10 years is $3374.65

3 0
3 years ago
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