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kodGreya [7K]
2 years ago
8

WILL GIVE BRAINLIEST!What is the measure of

Mathematics
1 answer:
NNADVOKAT [17]2 years ago
6 0

Answer:

Step-by-step explanation:

Show the question i cant really see

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Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.
Alborosie
Assume that the rule connecting height of the candle to time is a linear one.  If you do, then we have to find the equation of this line, and then use this equation to predict the height of the candle after 11 hours.

Two points on this line are (6,17.4) and (23, 7.2).  The slope is thus
         7.2-17.4           -6
m = ---------------  =  -----------  or   -3/5.
           23-6                 10

Find the equation of the line.  I'm going to use the slope-intercept formula:

y = mx + b  =>   7.2 = (-3/5)(23) + b.  Solving for b,   b = 21.

Now    we know that y = (-3/5)x + 21

Let x=11 to predict the height of the candle at that time.

y = (-3/5)(11) + 21 = 14.4 inches  (answer)
7 0
4 years ago
This is division help me
fiasKO [112]
4.6/2= 2.3
0.84/2=0.42
0.93/3=0.31
46/2=23
84/2=42
93/3=31
8 0
3 years ago
Read 2 more answers
Jeff collected 100 baseball cards.
agasfer [191]

Answer:

33/100 =.33

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

4^n+17 is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so 4^k+17 is divisible by 3

and we check what happens for k+1

4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17

3\cdot 4^k is divisible by 3 and

4^k+17 is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that 4^n+17 is divisible by 3 for all positive integers n.

Thanks

4 0
3 years ago
What does 12A equal?
lozanna [386]
<span><span>4a+6b=10 
4a=10-6b 
a=(10-6b)/4 
a=(5-3b)/2 
</span>
<span>2a-4b=12 
2((5-3b)/2)-4b=12 
(5-3b)-4b=12 
5-7b=12 
-7b=7 
b=-1
</span>
<span>2a-4b=12 
2a-4(-1)=12 
2a+4=12 
2a=8 
a=4 

a=4, b=-1 </span>

12a=48</span>
7 0
3 years ago
Read 2 more answers
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