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Rainbow [258]
3 years ago
5

Substitute 5 for x and evaluate the expression below. (x-2) +11

Mathematics
1 answer:
vekshin13 years ago
7 0

Answer:

14

Step-by-step explanation:

(5-x) +11 = 14

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Jill has to go to the post office before she drops her 3 children off at the elementary school. She is going straight home after
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What is the solution of the system of equations?
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2 years ago
An electric stove marked 1700 plus sales tax at 13%. Find the purchase price of the given object.​
Mice21 [21]

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6 0
2 years ago
The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T min
dolphi86 [110]
This is a doozy.  I actually have another form of the equation for cooling, and it's in Celcius (so I convert) and seconds (we can switch back to minutes in the end).  The Celcius and Fahrenheit don't matter because it's the time we are interested in and as long as we use the C and F equivalents, we're fine.  Promise.  The formula is as follows: T(t)= T_{s}+( T_{0}- T_{s})e ^{-kt}.  It's really easy to use.  T(t) is the ending temperature; T_{s} is the room temp; T_{0} is our initial temperature of the liquid; e is Euler's number, k is the constant of variation, and t is the time in seconds.  In Celcius, our temps are as follows:  180 F = 82.2 C; 100 F = 37.8 C; 75 F = 23.9 C; 80 F = 26.7 C.  10 minutes is 600 seconds.  Filling in our formula with all of that, we will solve for k.  Then we will use that k value to solve for the time in the question we are told to answer.  Let's do this.  37.8=23.9+(82.2-23.9)e ^{-600k}.  Simplifying a bit we have 37.8=23.9+(58.3)e ^{-600k}.  Subtracting 23.9 from both sides we have 13.9=58.3e ^{-600k}.  divide both sides by 58.3 to get .2384219=e ^{-600k}.  At this point in your mathematical career, I'm assuming that since you're doing this, you're studying natural and common logs.  The base of a natural log is e, therefore, if we take the natural log of e, they both "undo" each other and cancel each other out completely.  So let's do that. ln(.2384219)=-600k.  Simplifying on the left gives us -1.433713=-600k.  Dividing both sides by -600 gives us a k value of .002389.  Now we will do the equation again, using that k value, to solve for how long it takes for the coffee to cool to 80 F (26.7 C).26.7=23.9+(82.2-23.9)e ^{-.002389t}.  Simplifying a bit again gives us 26.7=23.9+(58.32)e ^{-.002389t}.  Subtracting 23.9 from both sides gives us 2.8=(58.32)e ^{-.002389t}.  We will now divide both sides by 58.32 to get .0480109=e ^{-.002389t}.  Again we will take the natural log of both sides to "undo" the e: ln(.0480109)=-.002389t.  The natural log of .0480109 is -3.036325671.  So, dividing both sides by the negative decimal on the right gives us \frac{-3.036325671}{-.002389}=t and t = 1270.9 seconds.  Divide that by 60 to get the time in minutes.  t = 21.1826...so 21 minutes.  Phew!!!
7 0
3 years ago
Read 2 more answers
Determine whether each ordered pair is a solution to the inequality x+5y<2.
inna [77]

Two points ( -8,-1) and ( -1,0) are the solutions and the other points are not the solution to the inequality.

<h3>What is inequality?</h3>

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.

Given inequality is:-

  • x + 5y  <  2.

We will check all the points for the inequality:-

(−8,−1) →  x + 5y  <  2.  →  -8 +(5 x -1) < 2  →  -13 < 2 It is inequality

(−1,0)   → x + 5y  <  2   →   -1 < 2 It is inequality

(4,2)    → x + 5y  <  2   →    14 < 2  wrong

(9,6)    → x + 5y  <  2   →    39 < 2 wrong

(0,10)  →  x + 5y  <  2  →    50 < 2 wrong

Therefore the two points ( -8,-1) and ( -1,0) are the solutions and the other points are not the solution to the inequality.

To know more about inequality follow

brainly.com/question/24372553

#SPJ1

6 0
2 years ago
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