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erik [133]
3 years ago
13

Which of the following statements is true?

Mathematics
2 answers:
Fiesta28 [93]3 years ago
6 0

Answer:

TRUE

TRUE

FALSE

FALSE

TRUE

andreyandreev [35.5K]3 years ago
6 0

Answer:

first one is true

Step-by-step explanation:

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A thermometer is taken from an inside room to the outside, where the air temperature is 20° f. after 1 minute the thermometer re
fomenos

The change in the temperature is proportional to the difference in temperatures. Let's call the initial temperature of the room and the thermometer E_0 and the current temperature E(t) where t is the elapsed time in minutes.  The outside temperature is 20 F.

Newton's Law of Cooling:

E(t) - 20 = (E_0 - 20) e^{- k t}

We're given E(1)=70 \textrm{ and } E(5)=45

70-20 = (E_0 - 20) e^{-k}

45-20 =(E_0 - 20) e^{-5k}

Dividing,

\dfrac{50}{25}=e^{4k}

k = \dfrac 1 4 \ln 2

Now,

E(t) - 20 = (E_0 - 20) e^{- k t}

E_0 = 20 + (E(t) - 20)e^{k t}

E_0 = 20 + (E(1) - 20)e^{k}

E_0 = 20 + (70 - 20)e^{\ln 2/4}

E_0 = 20 + 50 \cdot 2^{1/4} \approx 79.46 \textrm{ degrees F}


3 0
4 years ago
(3x - 2)(4x + 1) + 0 = 0 find the zeros
kari74 [83]

Answer:

2/3 , -1/4

Step-by-step explanation:

(3x - 2)(4x + 1) = 0

Either 3x - 2 = 0    or 4x + 1 = 0

or, x = 2/3 or x = -1/4

7 0
3 years ago
Zach bought two new jet skis for $15,480. He will make 36 equal payments. How much will each payment be?
telo118 [61]

36x = 15480

x = 15480/36

x = 5160/12

x = 2580/6

x = 860/2

x = 430

Zach made equal payments of $430

6 0
3 years ago
Can you represent the data with an equation? If so write the equation.
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• Use slope to graph linear equations in two variables. • Find the slope of a line given two points on the line. • Write linear equations in two variables. • Use slope to identify parallel and perpendicular lines. • Use slope and linear equations in two variables to model and solve real-life problems. 2

6 0
4 years ago
PLS HELP! WILL GIVE BRAINLIEST.
lilavasa [31]

Answer:

Rotation of 90 degrees clockwise and then Dilation (scale factor) of 0.5

7 0
3 years ago
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