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ololo11 [35]
3 years ago
7

What is the value of the power a if 5 to the power of a is equal to 1/125

Mathematics
1 answer:
padilas [110]3 years ago
7 0

First of all, you should know/notice that

125=5^3

You should also know how negative exponents work:

a^{-m}=\dfrac{1}{a^m}

So, if you wanted

5^x=125

the answer would be x=3, but since you want 125 to be at the denominator, the answer is x=-3:

5^{-3}=\dfrac{1}{5^3}=\dfrac{1}{125}

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Area & perimeter
solong [7]

Answer:28

Step-by-step explanation:

7+7+7+7

7 0
3 years ago
carly tutors stufents in math on the weekends and offers both thirty minute and sixtyminute sessions she earns $15for each thirt
Ronch [10]

Answer:

X=7

Step-by-step explanation:

7*15=105 7-2=5 5*25=125 125+105=230

6 0
3 years ago
A coin is tossed 5 times. Find the probability that all are heads. Find the probability that at most 2 are heads.
fenix001 [56]

Answer:

1/32

15/32

Step-by-step explanation:

For a fair sided coin,

Probability of heads, P(H) = 1/2

Probability of tails P(T)  = 1/2

For a coin tossed 5 times,

P( All heads)

= P(HHHHH),

= P (H) x P(H) x P(H) x P(H) x P(H)

= (1/2) x (1/2) x (1/2) x (1/2) x (1/2)

= 1/32 (Ans)

For part B, it is easier to just list the possible outcomes for

"at most 2 heads" aka "could be 1 head" or "could be 2 heads"

"One Head" Outcomes:

P(HTTTT), P(THTTT) P(TTHTT), P(TTTHT), P(TTTTH)

"2 Heads" Outcomes:

P(HHTTT), P(HTHTT), P(HTTHT), P(HTTTH), P(THHTT), P(THTHT), P(THTTH), P(TTHHT), P(TTHTH), P(TTTHH)

If we count all the possible outcomes, we get 15 possible outcomes representing "at most 2 heads)

we know that each outcome has a probability of 1/32

hence 15 outcomes for "at most 2 heads" have a probability of

(1/32) x 15  = 15/32

8 0
3 years ago
Read 2 more answers
A bird is gliding at 40 meters per minute. How long, in minutes, will it take the bird to travel 160 meters?
adoni [48]

Answer:

<u>4 minutes</u>

Step-by-step explanation:

40=1 min

40=2 min

40=3 min

40=<u>4</u> min

40x4 or 40+40+40+40 is <u>160</u>

6 0
3 years ago
Workout the value of (10^4)^2
weqwewe [10]

Answer: the answer is 100000000

Step-by-step explanation: that is that because 10 to the 4th power is 10000 times 10000 is 100000000

8 0
3 years ago
Read 2 more answers
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