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Lerok [7]
3 years ago
8

What is the quotient 7^-4/7^-9

Mathematics
2 answers:
N76 [4]3 years ago
7 0
\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\
-------------------------------\\\\
\cfrac{7^{-4}}{7^{-9}}\implies 7^{-4}\cdot 7^9\implies 7^{-4+9}\implies 7^5\implies 16807
Elena-2011 [213]3 years ago
5 0
7^5 is your answer

Hope this helps
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Solve 2x + 5y = –13. 3x – 4y = –8
disa [49]
If you would like to solve 2x + 5y = - 13 and 3x - 4y = -8, you can do this using the following steps:

<span>2x + 5y = -13  /*4
3x - 4y = -8     /*5
</span>_________________
8x + 20y = -52
15x - 20y = -40
_________________
8x + 15x + 20y - 20y = -52 - 40
23x = -92    /23
x = -92 / 23
x = -4

<span>2x + 5y = -13
</span>2 * (-4) + 5y = -13
-8 + 5y = -13
5y = -13 + 8
5y = -5
y = -1

(x, y) = (-4, -1)

The correct result would be D.) <span>(-4, -1).</span>
8 0
3 years ago
Read 2 more answers
A holding tank containing 3000 gallons of oil is been at the rate of 130 gallon per hour of six hours and then filled at the rat
serious [3.7K]

Answer:

2520 gallons

Step-by-step explanation:

3000 gallons -780 gallons drained over 6 hours then add 300 gallons over three hours = 2520 gallons

8 0
3 years ago
A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center
deff fn [24]

Given :

The Tourist Information Center is  located at (11,0) and the Bus Station is located at (-1,-10).

Also , Tourist Information Center is between a Bus Station and a Train Station.

To Find :

The point of location of train station .

Solution :

Let , point of location of train station is ( x,y ).

We know , mid-point of two points ( a, b) and ( c, d ) is given by :

(\dfrac{a+c}{2},\dfrac{b+d}{2}) .

Since , Tourist Information Center is between a Bus Station and a Train Station.

So , it is given by :

( 11 , 0 ) = (\dfrac{-1+x}{2},\dfrac{-10+y}{2})

Comparing both coordinate :

\dfrac{x-1}{2}=11\\\\x=22+1\\\\x=23

and

\dfrac{y-10}{2}=0\\\\y=10

Therefore , Train Station is located at point ( 23 , 10 ) .

Hence , this is the required solution .

3 0
3 years ago
Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team memebers who do not wear glasses, 30
GarryVolchara [31]

the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade is 14%.

Given, the members of the junior varsity swim team wear glasses is 55%.

And the members of junior varsity swim team who do not wear glasses and in 10th grade is 30%.

Let the total no. of members be x.

So, the members of the junior varsity swim team wear glasses (55%),will be

0.55x.

The total number of members not wearing glasses, will be

x - 0.55 x = 0.45 x.

Now, the no. of members not wearing glasses and in 10th grade will be,

\frac{0.45x\times30}{100} =0.135x

We know that the probability of an event E, P(E) will be,

P(E)=\frac{No.\ of Favourable\ outcomes}{total \ no. \ of \ outcomes}

So, the probability for no. of members not wearing glasses and in 10th grade will be,

P(E)=\dfrac{0.135x}{x}

P(E)=0.135\\\\P(E)=13.5 \%

Hence the nearest whole percent of probability is 14%.

For more details on probability follow the link:

brainly.com/question/795909

8 0
2 years ago
Whisper is exercised twice a day.
aleksklad [387]

Answer:

I:23/48

ii 25/48

Step-by-step explanation:

30min=0.5hr

total time exercised: 11+0.5=11.5hr

Divided by total hours of a day:

11.5/24=115/240=23/48

ii:(48-23)/48

4 0
2 years ago
Read 2 more answers
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