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avanturin [10]
3 years ago
11

Help me please 2. You learn from your science teacher that water expands when you freeze it. The next time that you freeze your

water bottle, you leave room for the water to expand so that the bottle does not crack. What kind of reasoning did you use? inductive reasoning deductive reasoning algebraic reasoning direct reasoning I think the answer is b
Mathematics
1 answer:
harkovskaia [24]3 years ago
3 0
You would be correct. Direct reasoning you already have your teacher who told you what would happen you are simply doing a reaction because of her.
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Solve 4 cos2x-3 = 0 for all real values of x.
vichka [17]

4 cos² x - 3 = 0

4 cos² x = 3

cos² x = 3/4

cos x = ±(√3)/2

Fixing the squared cosine doesn't discriminate among quadrants.  There's one in every quadrant

cos x = ± cos(π/6)

Let's do plus first.  In general, cos x = cos a has solutions x = ±a + 2πk integer k

cos x = cos(π/6)

x = ±π/6 + 2πk

Minus next.

cos x = -cos(π/6)

cos x = cos(π - π/6)

cos x = cos(5π/6)

x = ±5π/6 + 2πk

We'll write all our solutions as

x = { -5π/6, -π/6, π/6, 5π/6 } + 2πk integer k

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3 years ago
What is the standard form of the following equation:
Damm [24]

Answer:

My answer is D) y = 2(x - 2.5)^2 + 6

I hope it helps


7 0
3 years ago
Which of the following is a way that scientific advancements have benefited society? a. increased energy efficiency b. increased
PilotLPTM [1.2K]

The answer is a. increase energy efficiency.  This means that we now use less energy to do more thanks to many advances in technology.  It could also be due to the use of alternative sources of power such as the sun or win.  These new sources provide energy without causing pollution.

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3 years ago
What is log squared with a base of 4 with the exponent (x^2+x) and the whole thing is equal to 0.25. Find the domain of x and fi
alexandr1967 [171]

Answer:

X = 1 , -2

Step-by-step explanation:

Given in question as,

(log4(x² + x))² = 0.25

log4(x² + x) = 0.5

Applying log base property if      log(a)X = b,   then X =a^b

Or, x² + x = 4^0.5

     x² + x = 2

     x² + x - 2 = 0

     x²+2x-x-2 = 0

     (x + 2) (x - 1) = 0

So, x = 1 and -2   Answer

   

6 0
3 years ago
Carl's age is three more than two times Lindsay's age. Carl is 39 years old. How old is Lindsay?
julia-pushkina [17]

Answer:

The answer is (39/2)-3=L.

Step-by-step explanation:

7 0
3 years ago
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