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ANTONII [103]
3 years ago
14

Please can someone help me ?

Mathematics
2 answers:
anygoal [31]3 years ago
5 0

Answer:

-3-5i

Step-by-step explanation:


Eddi Din [679]3 years ago
4 0

z = -14 + 21i / -2 - 4i


Rectangular form:

z = -14-14.5i


Exponential form:

z = 20.155644 × ei (-133°59'42″)


Polar form:

z = 20.155644 × (cos (-133°59'42″) + i sin (-133°59'42″))


Polar form - absolute value (modulus) and angle (argument):

r = |z| = 20.15564

φ = arg z = -133.99491° = -133°59'42″ = -0.74442π


Calculation steps


   Divide: 21i / (-2) = -10.5i

   Add: -14 + (-10.5i) = -14-10.5i

   Subtract: (-14-10.5i) - 4i = -14 + (-10.5-4)i = -14-14.5i




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List a value of b that will cause 4x2 + bx + 25 = 0 to have one real solution
vlada-n [284]

Answer:

20

Step-by-step explanation:

If you take (2x+5) (2x+5) = 0

then 4x^2 + 20x +25 = 0

5 0
3 years ago
A local fast food restaurant takes in $9000 in a 4 hour period, where the amount taken in varies directly with the number of hou
Zepler [3.9K]

As per the direct variation formula, it take  11 hours : 6 minutes : 36 seconds to earn $25,000 for the restaurant.

Direct variation:

Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other.

Direct variation equation: y = kx

Given,

A local fast food restaurant takes in $9000 in a 4 hours period. Write a direct variation equation for the relationship income and number of hours.

Here we need to estimate how many hours it would take the restaurant to earn $25,000.

a) Let us consider income (I) directly varies to number of hours (h) where k is the constant of variation.

I = kh   ⇒  Direct variation equation

Solve for k:

9,000 = (k)(4)

k = 9,000/4

k = 2,250

b) When income (I) = 25,000, find the number of hours:

I = kh

25,000 = (2,250) (h)

h = 25,000/2,250

h = 11.11

It will take approximately 11 hours : 6 minutes : 36 seconds for the restaurant to earn $25,000.

To know more about Direct variation here.

brainly.com/question/14254277

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4 0
1 year ago
The hover dam contains 3 1/2 millon cubic yards of concrete.The grand coulee dam contains 2 1/2 times as much. How much concrete
Margarita [4]

grand coulee dam (g) contains 2.5 times as much concrete as the hover dam (h)

Therefore,

g = 2.5 * h

h = 3.5 million

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g = 8.75 million yards of concrete

8 0
3 years ago
Which expression is equivalent to 4 times the sum of 3 and x
vovikov84 [41]

Answer:

4(3+x)

Step-by-step explanation:

If any thing is in the brackets you need to do it first

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8 0
3 years ago
David was trying to sleep one night but there was too much noise around him? His clock ticked every 5 seconds , a tap was drippi
Monica [59]

Answer:

A) 420 seconds = 7 minutes

B) 8 times

Step-by-step explanation:

A) After how many second would all three things happen together again?

Solution:

His clock ticked every 5 seconds , a tap was dripping every 7 seconds and     his pet dog snored every 12 seconds. It all happens simultaneously = 5*7*12=420 seconds

B) How many times would all three things happen together again between    midnight and one o'clock

Since all these events happen together after every 420 sec = 7 mins and there are 60 mins between midnight and 1 o'çlock , thus 60/7 = 8 times ....

7 0
3 years ago
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