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ladessa [460]
3 years ago
8

Solve exponential equations 5x − 2=625

Mathematics
1 answer:
coldgirl [10]3 years ago
6 0

Answer:

<h2>x = 6</h2>

Step-by-step explanation:

5^{x-2}=625\\\\5^{x-2}=5^4\qquad(5^4=5\cdot5\cdot5\cdot5=625)\\\\5^{x-2}=5^4\Rightarrow x-2=4\qquad\text{add 2 to both sides}\\\\x-2+2=4+2\\\\x=6\\\\\text{check:}\\\\5^{6-2}=5^4=625\qquad\bold{CORRECT}

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What is the answer to 8=56, 7=42, 6=30, 5=20, 3=?
ozzi
8(7) = 56
7(6) = 42
6(5) = 30
5(4) = 20
4(3) = 12
3(2) = 6
∴ 3 = 6
7 0
2 years ago
A bus went halfway from a village to a city at a certain speed. Then it stopped in traffic for an hour. In order to catch up the
k0ka [10]
We have to assume that the speed before being stuck was sufficient to get to the destination on time had there been no delay. Call that speed "s" in km/h.

Since 200 km is "halfway", the total distance must be 400 km.

time = distance / speed
total time = (time for first half) + (delay) + (time for second half)

400/s = 200/s + 1 + 200/(s+10) . . . .times are in hours, distances in km
200/s = 1 + 200/(s+10) . . . . . . . . . . subtract 200/s
200(s+10) = s(s+10) +200s . . . . . . .multiply by s(s+10)
0 = s² +10s - 2000 . . . . . . . . . . . . . .subtract the left side
(s+50)(s-40) = 0
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The speed of the bus before the traffic holdup was 40 km/h.
4 0
2 years ago
3 + 2(2x + 8) = 1 is equivalent to:
suter [353]

Answer:

x = -\frac{9}{2}

Step-by-step explanation:

=> 3+2(2x+8) = 1

=> 3+4x+16 = 1

=> 4x+19 = 1

=> 4x = 1-19

=> 4x = -18

<u><em>Dividing both sides by 4</em></u>

=> x = -\frac{18}{4}

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8 0
3 years ago
Read 2 more answers
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Next step is to place the compass at Z and draw 2 arcs between Z and Y points, similarly place the compass at Y and draw 2 arcs that would cut the arcs already drawn. 

Then connect the two points where the arcs meet and thats the perpendicular bisector of ZY.
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7 0
2 years ago
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sasho [114]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
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