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fomenos
3 years ago
6

Help pls √-4 - √-25 Express complex numbers in terms of i

Mathematics
2 answers:
Bess [88]3 years ago
6 0
That would become 2i minus 5i which gives you negative 3i
kow [346]3 years ago
5 0

i=\sqrt{-1}\\\\\sqrt{-4}=\sqrt{(4)(-1)}=\sqrt4\cdot\sqrt{-1}=2i\\\\\sqrt{-25}=\sqrt{(25)(-1)}=\sqrt{25}\cdot\sqrt{-1}=5i\\\\\sqrt{-4}-\sqrt{-25}=2i-5i=-3i

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What is meant by unit rate
Ksju [112]

Answer:

A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

4 0
3 years ago
The time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with l=0.0003
Dvinal [7]

Answer: 0.0497870 ; 0.87754

Step-by-step explanation:

Given that :

λ = 0.0003

Defining a continuous distribution function :

F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0

a. What proportion of the fans will last at least 10,000 hours?

P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870

b. What proportion of the fans will last at most 7000 hours?

P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)

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3 0
3 years ago
The distance between Alphaville and Betaville is seven hundred and
LenKa [72]

Answer:

Step-by-step explanation:

Distance = speed × time

A car from Alphaville to Betaville is moving at a speed of sixty-two miles per hour. This means that after two and a half hours, the distance that this car would have covered is

62 × 2.5 = 155 miles

Another car from Betaville to Alphaville is moving at a speed of fifty-seven miles per hour. This means that after two and a half hours, the distance that this car would have covered is

57 × 2.5 = 142.5 miles

A and B represents Alphaville and Betaville as well as the first and second cars. The total distance covered by both cars is

155 + 142.5 = 297.5 miles

The distance between both cars after two and a half hours is

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7 0
3 years ago
Describe how to use the Vertical Line Test and what it can tell us.
tia_tia [17]

Answer: To use the Vertical Line Test, you draw a line parallel to the y-axis for any value of x and if the line intersects the curve graphed, then the curve is not a function. We use Vertical Line Tests to see if curves are functions.

3 0
3 years ago
The sun causes a flagpole to cast a shadow that measures 85 ft. from the base of the pole. At the same time of the day, a 6.5 ft
valentina_108 [34]

Answer:

Length of the shadow of player's sister is 5.25 feet.

Step-by-step explanation:

From the figure attached,

AB represents the basketball player and DE is his little sister.

Height of basketball player = 6.5 ft

Length of shadow of the player = 9.75 ft

Height of player's sister = 3.5 ft

Since, ΔABC and ΔEDC are the similar triangles, their corresponding sides will be proportional.

\frac{AB}{DE}= \frac{ED}{DC}

\frac{6.5}{3.5}= \frac{9.75}{x}

x = \frac{9.75\times 3.5}{6.5}

x = 5.25 ft

Therefore, length of the shadow of player's sister is 5.25 feet.

4 0
3 years ago
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