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Verizon [17]
1 year ago
11

4* - 5(2*) + 4 = 0, u = 2* [Note: 4* = (2*)^2 Use the substitution given

Mathematics
1 answer:
KengaRu [80]1 year ago
5 0

Answer:

x = 0, 2

Step-by-step explanation:

{4}^{x}  - 5( {2}^{x} ) + 4 = 0 \\   {({2}^{x})}^{2}    - 5( {2}^{x} ) + 4 = 0 \\  {u}^{2}  - 5u + 4 = 0 \\ (u - 1)(u - 4) = 0 \\ u = 1 \: or \: u = 4 \\  {2}^{x}  = 1 \: or \:  {2}^{x}  = 4 =  {2}^{2}  \\ x = 0 \: or \: x = 2

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Whilst shopping, the probability that Caroline buys fruit is 0.7.
Lilit [14]

Answer:

Probability that Caroline buys fruit, a CD or both is 0.76.

Step-by-step explanation:

Let event A = Caroline buys fruit, event B = Caroline buys CD, Ac and Bc are complementary events.

Events AB, ABc, AcB and AcBc are jointly exhaustive and disjoint, hence P(AB) + P(ABc) + P(AcB) +P(AcBc) =1.

Events A and B independent, hence Ac and Bc independent too and probability P(AcBc) = P(Ac)*P(Bc) = (1 - P(A))(1-P(B)) = 0.6*0.4 = 0.24.

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2 years ago
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One day, Pam drove 102 miles in 1 1/2 hours. Jake drove 54 miles in 3/4 hour. Who drove at a faster rate?
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8 0
2 years ago
Please help with this question?!?
erik [133]

Answer:

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Step-by-step explanation:

In order to find the surface area, you must find the area of each square. There are a total of 6 that make up the prism.

<em>Remember to find the area it is length x width</em>

  1. 9 x 8 = 72 which is the area for 4 of the squares. 2 on the side and 2 on the bottom
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2 years ago
How can u solve this by system of equations by elimination 4x-5y=6;2x+5y=-28
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Answer:

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4x-5y=6

2x+5y=-28

-----------------

4x-5y=6

-2(2x+5y)=-2(-28)

--------------------------

4x-5y=6

-4x-10y=56

------------------

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15y=50

y=50/15

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4x=18/3+50/3

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x=(68/3)/4

x=(68/3)(1/4)=68/12=17/3

4 0
2 years ago
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