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Dovator [93]
3 years ago
10

Without using (10), show directly that (10.6^-1)^8=17.6^-8

Mathematics
1 answer:
blagie [28]3 years ago
3 0
We are given the expression:

(17.6^-1)^8 = 17.6 ^ -8

This means that the two terms on each side are equal. We are asked to show how this is possible. 

First, use the rule of exponents. If a term raised to the power of a number x^n and is further raised to the power m: (x^n)^m, to simplify the expression, multiply n and m and this will be your end exponent = x^nm. 

We can apply this rule here:

17.6^-1 ^ 8

-1 * 8 = -8

then, retain the base and replace the exponent with the product nm:

17.6 ^-8. This proves that the left term is equal to the right term. <span />
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Lori needs more than 250 signatures to run for the position of class president for her middle school. She already has 75 signatu
olga55 [171]

Answer:

75 + 25d > 250

d > 7

Step-by-step explanation:

Number of signatures needed : > 250

Amount of signatures ready = 75

Exoected number of signatures per day = 25

Number of days, d, needed signatures will be collected ;

Number of ready signatures + (expected number of signatures per day * number of days) > number of signatures needed

Mathematically,

75 + 25d > 250

25d > 250 - 75

25d > 175

d > 175 / 25

d > 7

7 0
3 years ago
A fair coin was flipped 50 times. It landed on heads 29 times.
faust18 [17]

Answer:

21/50, 42%

Step-by-step explanation:

The total times the coin was flipped is 50 and the number of times it landed on tails is 50-29=21. So we need to divide 21 by 50, which gives us 42%.

7 0
3 years ago
I NEED HELP ON NUMBER 6 PLEASE A AND B, ITS
olya-2409 [2.1K]
P-111
A-90???

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6 0
3 years ago
In the diagram below, DE and EF are tangent to O. Which equation could be solved to find X, the measure of DF.
Brut [27]

Answer:

The answer to your question is letter D

Step-by-step explanation:

Formula

                     m∠E = \frac{1}{2} ( DGF - DF)

Data

m∠E = 48°

DGF = 228°

DF = x°

Substitution

                    48° = \frac{1}{2} ( 228° - x°)

Solution

                                     2(48) = 228 - x°

                                     96 = 228 - x°

                                     96 - 228 = - x°

                                    - 132 = - x°

                                       x° = 132°

7 0
3 years ago
(1 point) All that is left in a packet of candy are 7 reds, 3 greens, and 3 blues.
Sauron [17]

Answer:

A 21 /169

B independent

Step-by-step explanation:

The total number of candies is 7+3+3 = 13

P( 1st red) = red/total = 7/13

Since the candy is put back there are still 13 candies in the dish

P(2nd green) = green/total = 3/13

P( red, then green) = P( 1st red) * P(2nd green)

                                = 7/13* 3/13 = 21/169

The events are independent since the candies are put back

4 0
3 years ago
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