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iragen [17]
3 years ago
15

Simplify the expression (4i)(2i)(-9i)

Mathematics
1 answer:
lakkis [162]3 years ago
7 0

Answer:

Step-by-step explanation:

(4i)*(2i)*(-9i) = 4*2*(-9) * i³           { i³ = -i}

                    = -72 *(-i)          

                   = 72i

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In one year the perseid metor shower had a metor appear every 1/5 5 minutes on average That same year the Leonid metor shower ha
olga55 [171]

In one year, the Perseid meteor shower had a meteor appear every 1 1/5 minutes on average. That same year, the Leonid meteor shower had a meteor appear every 4 2/3 minutes on average. How many more meteors fell during the Perseid meteor shower?

Answer:

325,452 meteors

Step-by-step explanation:

We all know that :

We have 365 days in a year and in each day there are 24 hours, Likewise an hour has 60 minutes

SO, the total number of minutes in a year is :

365 × 24 × 60 = 525600 minutes

For Perseid  meteor:

1 + \frac{1}{5}  \\ \\ = 1 + 0.2 \\  \\ = 1.2

So one meteor fall at 1.2 minutes interval Thus, in a year, we will have :

1 meteor - 1.2 minutes.

x meteor - 525600 minutes.

1.2x = 525600

x = \frac{525600}{1.2}

x = 438000

∴  438,000 meteors fell during the Perseid shower.

For  Leonid meteor shower:

4 + \frac{2}{3} = 4.67

So one meteor fall at 4.67 minutes interval Thus, in a year, we will have :

1 meteor - 4.67 minutes.

x meteors - 525600 minutes.

4.67x = 525600

x = \frac{525600}{4.67}

x = 112548

112,548 meteors fell during the Leonid Shower.

Finally , the numbers of more meteors that  fell during the Perseid meteor shower is calculated by the difference in the number of Perseid meteor shower and Lenoid meteor shower. i.e

438,000 - 112,548 = 325,452

325,452 more meteors fell during the Perseid meteor shower

5 0
3 years ago
A man travels 600km partly by train and partly by car. If he covers 400km by train and the rest by car, it takes him 6 hours and
11Alexandr11 [23.1K]

Answer:

A man travels 600km partly by train and partly by car. If he covers 400km by train and the rest by car, it takes him 6 hours and 30 minutes. But if he travels 200 km by train and rest by car, he takes half an hour longer.find the speed of the train and that of the car

Step-by-step explanation:

4 0
3 years ago
Solve the system by substitution...
Nataly_w [17]

Answer: 14

Step-by-step :x +3 y = 15 , 2 x -y =14

but let me know if it's right ok

6 0
2 years ago
On a fishing trip, mark caught twenty - four fish. He caught some rock fish averaging 2.5 pounds and some blue fish averaging 8
zloy xaker [14]
He cause 14 blue fish and 10 rock fish
14x8=112 10x2.5=25 112+25=137
7 0
3 years ago
Under which conditions does the molar volume of a gas decrease? A. at 273 K and at 2.0 atm. B. at 273 K and at 0.5 atm. C. at 40
Sloan [31]
We first assume that this gas is an ideal gas and we use the ideal gas equation to determine the answer. It is expressed as:

PV = nRT

Molar volume can be obtained from the equation by V/n.

V/n = RT/P

Therefore, the correct answer from the choices listed above is option A, <span>at 273 K and at 2.0 atm.</span>
7 0
3 years ago
Read 2 more answers
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