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svetoff [14.1K]
3 years ago
13

Please Help and Thanks.

Mathematics
1 answer:
Katena32 [7]3 years ago
7 0

Answer:

Step-by-step explanation:

case 1

cost of 20oz bottle of soda = $1.20

dividing both side by 20

cost of 20/20 oz bottle of soda = $1.20/20

cost of 1oz bottle of soda = $0.06

__________________________________________

Case 2

cost of 12oz bottle of soda = $0.85

dividing both side by 12

cost of 20/20 oz bottle of soda = $0.85/12

cost of 1oz bottle of soda = $0.07

Based on above calculation, we can see that first deal 20oz bottle of soda at costs $1.20 is better deal as per unit cost is $0.06 which is less than 12 oz can of soda costs $0.85 which is equivalent to  $0.07 per unit cost

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Determine which two equations have nonlinear graphs.
vodomira [7]

The slope-intercept form of linear function:

y=mx+b

y=2x^3 - nonlinear

y=3x - linear

y=2x+\dfrac{1}{2} - linear

y=x^2+2 - nonlinear

y=0.5x+3 - linear

3 0
4 years ago
Please help me on this
rewona [7]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Use DeMoivre's Theorem to find (3cis*pi/6)^3
Sonbull [250]

The correct value of (3cis(pi/6))³ is 27i.

<h3>What is Complex Number?</h3>

Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.

Given the complex number in polar coordinate expressed as

z = r(cos∅+isin∅)

zⁿ =  {r(cos∅+isin∅)}ⁿ

According to DeMoivre’s Theorem;

zⁿ =  rⁿ(cosn∅+isinn∅)

Given the complex number;

(3cis(pi/6))³

= {3(cosπ/6 + isinπ/6)}³

Using  DeMoivre’s Theorem;

= 3³(cos3π/6 + isin3π/6)

=  3³(cosπ/2 + isinπ/2)

= 3³(0 + i(1))

= 27i

Thus, the correct value of (3cis(pi/6))³ is 27i.

Learn more about Complex number from:

brainly.com/question/10251853

#SPJ1

7 0
2 years ago
The half-life of iron-52 is approximately 8.3 hours. Step 1 of 3: Determine a so that A(t)=A0at describes the amount of iron-52
Viktor [21]

Answer:

<h2 />

Step-by-step explanation:

Given the half like of a material to be 8.3 hours and the amount of iron-52 left after t hours is modeled by the equation A(t) = A_0 a^{t}, we can get A(t) as shown;

At t = 8.3 hours, A(8.3) = 1/2

Initially at t = 0; A(0) = 1

Substituting this values into the function we will have;

\frac{1}{2} = 1 * a^{8.3}\\\\Taking \ the \ log \ of\ both \ sides;\\\\log(\frac{1}{2} ) = log(a^{8.3} )\\\\log(\frac{1}{2} ) = 8.3 log(a)\\\\\fr-0.30103 = 8.3 log(a)\\\Dividing\ both\ sides\ by \ 8.3\\\\\frac{-0.30103}{8.3}  = log(a)\\\\log(a) = - 0.03627\\\\a =10^{-0.03627} \\\\a = 0.919878 (to\ 6dp)

4 0
3 years ago
If m 4= 27, find m 1, m 2, and m 3
d1i1m1o1n [39]

27 : 4 = 6.75 (m1)

6* 75 * 2 = 13.5 (m2)

6.75 * 3 = 20.25 (m3)


6 0
3 years ago
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