All categories

3 years ago

Simplify the expression to a + bi form: (-8 – 9i)2

Mathematics

1 answer:

WINSTONCH [101]3 years ago

7 0

Answer:

-17+144i

Step-by-step explanation:

You might be interested in

Cameron drives a semitruck for Haulin' Harry's Trucking Company. He earns $0.45 for every mile he drives. If Cameron drove 827.4

ANEK [815]

Answer:

$372.330

Step-by-step explanation:

if 1 mile = $0.45 and you want to find out 827.4 miles

you should multiple $0.45 × 872.4

1 mile : $0.45

827.4 × $0.45 = 372330

827.4 : $372.330

3 0

3 years ago

The heat index I is a measure of how hot it feels when the relative humidity is H (as a percentage) and the actual air temperatu

PSYCHO15rus [73]

Answer:

a) $I(95,50) = 73.19$ degrees

b) $I_{T}(95,50) = -7.73$

Step-by-step explanation:

An approximate formula for the heat index that is valid for (T ,H) near (90, 40) is:

$I(T,H) = 45.33 + 0.6845T + 5.758H - 0.00365T^{2} - 0.1565TH + 0.001HT^{2}$

a) Calculate I at (T ,H) = (95, 50).

$I(95,50) = 45.33 + 0.6845*(95) + 5.758*(50) - 0.00365*(95)^{2} - 0.1565*95*50 + 0.001*50*95^{2} = 73.19$ degrees

(b) Which partial derivative tells us the increase in I per degree increase in T when (T ,H) = (95, 50)? Calculate this partial derivative.

This is the partial derivative of I in function of T, that is $I_{T}(T,H)$ . So

$I(T,H) = 45.33 + 0.6845T + 5.758H - 0.00365T^{2} - 0.1565TH + 0.001HT^{2}$

$I_{T}(T,H) = 0.6845 - 2*0.00365T - 0.1565H + 2*0.001H$

$I_{T}(95,50) = 0.6845 - 2*0.00365*(95) - 0.1565*(50) + 2*0.001(50) = -7.73$

8 0

3 years ago

Please help with this question

insens350 [35]

Answer:

alternate interoir

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

How to find the missing angle of a parallelogram only knowing 1 number?

lesantik [10]

Answer:
__________________________________________________________
If you know the measure of the angle of one particular angle, the alternate interior angle that corresponds to said particular angle will have that same measurement.
___________________________________________________________

4 0

3 years ago

Find the surface area of the cube shown below. units 2 2 squared

ruslelena [56]

The surface area of the cube with a side length of 2 units is 24 units squared

<h3>How to determine the surface area?</h3>

The side length of the cube is given as:

l = 2

The surface area is calculated as:

Surface area = 6l^2

This gives

Surface area = 6 *2^2

Evaluate

Surface area = 24

Hence, the surface area of the cube is 24 unit squared