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Anvisha [2.4K]
3 years ago
7

Help for question 7 please

Mathematics
2 answers:
Gelneren [198K]3 years ago
8 0
Remember that i² = -1. Your expression can be rewritten as
  -3×*(i²)² +2i×(i²) +2×(i²) +√(9×(i²))
  = -3×(-1)² +2i×(-1) +2×(-1) +√((3i)²)
  = -3 -2i -2 +3i
  = -5 +i . . . . . . . . . . . . matches the 1st selection
scoray [572]3 years ago
7 0
◆ COMPLEX NUMBERS ◆

given \: expression \: is \: - \\ \\ - 3 {i}^{4} + 2 {i}^{3} + 2 {i}^{2} + \sqrt{ - 9} \\ \\ we \: know \: that \: , \: \\ i = \sqrt{ - 1} \\ \\ {i}^{2} = - 1 \\ \\ {i}^{3 } = - i \\ \\ {i}^{4} = 1 \\ \\ \\ - 3 {i}^{4} + 2 {i}^{3} + 2 {i}^{2} + \sqrt{9} i \\ = - 3 {i}^{4} + 2 {i}^{3} + 2 {i}^{2} + 3i \\ \\ using \: the \: above \: properties \: of \: iota \: (i) \\ \\ = - 3(1) + 2( - i) + 2( - 1) + 3i \\ \\ = - 3 - 2i - 2 + 3i \\ \\ = (- 5 + i) \: \: \: ans.
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Square root of 11025
densk [106]
The square root of 11025 is 105
8 0
3 years ago
A) 17 <br> b) 15<br> c) 18<br> d) 16<br> ^ Which one ?
Mekhanik [1.2K]

Answer:

15

Step-by-step explanation:

if one side is 9, another is C, based on the angle tilt would have to be 15.

Hope its helps.

4 0
3 years ago
19. The marked price of a certain handbag is $400. After two successive
yKpoI14uk [10]

Answer:

x = 25%

Step-by-step explanation:

At the first sale of 25% off, the handbag price dropped from $400 to $300. This is because (400 x 0.25 = 100) and (400 - 100 = 300) Therefore, the selling price of the handbag after one sale was $300.

At the second sale of 25% off, the handbag price dropped from $300 to $225. This is because (300 x 0.25 = 75) and (300 - 75 = 225). Therefore, the selling price of the handbag after two sales is $225.

The value of x remained the same for both sales. x = 25% or 0.25

5 0
3 years ago
The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of per day. Find t
jasenka [17]

Answer:

t = ln(0.5)/-r

Step-by-step explanation:

The decay rate parameter is missing. I will assume a value of 4% per day.

The exponential decay is modeled by the following equation:

A = A0*e^(-r*t)

where A is the mass after t time (in days), A0 is the initial mass and r is the rate (as a decimal).

At half-life A = A0/2, then:

A0/2 = A0*e^(-0.04*t)

0.5 = e^(-0.04*t)

ln(0.5) = -0.04*t

t = ln(0.5)/-0.04

t = 17.33 days

In general the half-life time is:

t = ln(0.5)/-r

3 0
3 years ago
1. Find the length of the rectangle below.
Sophie [7]

Answer:

Given - A rectangle whose area is 1 2/5 m^2

- length is 4/5 m

To find - Length of rectangle

Solution -

1 2/5 = 7/5 m^2

Let the length be X

Area of rectangle= Length × Breadth

7/5 = X × 4/5

7/5 × 5/4 = X

7/4 = X

Length of rectangle= 7/4

5 0
3 years ago
Read 2 more answers
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