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dangina [55]
1 year ago
8

Which expression is equivalent to (4 + 6)²?

Mathematics
1 answer:
mel-nik [20]1 year ago
5 0

Answer:

A) -20+48i

Step-by-step explanation:

(4+6i)^2\\(4+6i)(4+6i)\\16+24i+24i+36i^2\\**i^2=-1*\\16+48i+36i^2(-1)\\16+48i-36\\-20+48i

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A bacteria culture contains 1500 bacteria initially and doubles every hour. (a) Find a function N that models the number of bact
Tpy6a [65]

Answer: a) N(t)=1500(2)^t

b) 25165824000

Step-by-step explanation:

The exponential equation for growth is given by :-

y= ab^t , where a= initial value , b =multiplicative growth factor and t = time.

Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.

i.e. a = 1500 and b= 2

Then, the function N that models the number of bacteria after t hours will be :

N(t)=1500(2)^t

To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get

N(24)=1500(2)^{24}\\\\=1500(16777216)=25165824000

Hence, the number of bacteria after 24 hours is 25165824000.

7 0
3 years ago
Please and thank you to whoever helps
Zepler [3.9K]

Answer:

  1131.0 m³

Step-by-step explanation:

Using the formula for the volume of a cylinder, fill in the appropriate values and do the arithmetic.

  V = πr²h

Since this formula needs the radius of the cylinder and you are given the diameter, you must divide the diameter by 2 to get the radius:

  r = d/2 = (12 m)/2 = 6 m

Then the volume is ...

  V = π(6 m)²(10 m) = 360π m³ ≈ 1131.0 m³ . . . . . rounded to tenths

8 0
3 years ago
Regina owns a drum that has a diameter of 14 inches and a height of 5.5 inches, as shown below. She wants to design a new drum b
Digiron [165]

D=7.7

H=19.6

key words

diameter ( 14 inches)

hight ( 5.5 inches )

scale factor (1.4 )

dilating

8 0
3 years ago
PLEASE HELP!!! Will give brainliest
Dvinal [7]

Answer:

times each other

Step-by-step explanation:

times by each other

5 0
3 years ago
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If the parent function is f(x) = x2 and its transformed function is g(x) = 2(x − 1)2 + 2, how is the graph of g(x) transformed f
Galina-37 [17]
The answer is A. g(x) is a vertical stretch and shift over both axes.
7 0
3 years ago
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