Question 1 (1 point)

Mathematics

2 answers:

viktelen [127]3 years ago

7 0

The answer is 12.0182

KatRina [158]3 years ago

5 0

Answer:

97.2

Step-by-step explanation:

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a quantity of ethanol is cooled from 47.9° C to 12.3°C and releases 3.12 KJ of heat. what is the mass of the ethanol sample?

victus00 [196]

Answer:

35.9 grams

Step-by-step explanation:

We use the formula:

$q=m*C_p*\Delta T$

Where

q is heat released

m is mass

C_p is the constant 2.44

ΔT is change in temperature

We put the info in the formula and solve for m (mass):

$q=m*C_p*\Delta T\\-3.12 = m*2.44(12.3-47.9)\\-3.12*10^3=m*(-86.864)\\m=35.9$

The mass of ethanol is 35.9 grams

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3 years ago

A small rock falling from the top of a 124-ft-tall building with an initial downward velocity of -30ft/sec is modeled by the equ

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You need to solve this for h(t)=0

<span>-16t^2-30t+124=0

This has two solutions, one is negative that does not make sense as time cannot be negative.
The positive solution is t=2

So the interval where it is in the air is [0;2)

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5 0

2 years ago

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Consider the system: y = 3x + 5 y = ax + b What values for a and b make the system inconsistent? What values for a and b make th

AnnyKZ [126]

<span>When a = 3 and b ≠ 5, the system will be inconsistent because the lines will be parallel. When a = 3 and b = 5, the system will be consistent and dependent because they represent the same line.</span>

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3 years ago

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If the basic measuring unit in base-7 is 49 circles, what does the measuring unit of size .001seven look like

Serjik [45]

The measuring unit is the standard unit of a quantity

The measuring unit of size 0.001 is represented by one millionth circle

<h3>How to determine the unit of base 0.001</h3>

The basic measuring unit in base 7 is given as:

49 circles

The above can be represented as:

Base 7 = 49 circles