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Elan Coil [88]
3 years ago
11

Simplify 6 to the 5th over 7 to the 3rd all raised to the 2nd power. A: 6 to the 7th over 7 to the 10th B: 6 to the 10th over 7

to the 6th C: 6 to the 3rd over 7 D: 12 to the 5th over 14 to the 3rd, someone please help asap
Mathematics
2 answers:
n200080 [17]3 years ago
7 0

Answer:

B: 6 to the 10th over 7 to the 6th

Step-by-step explanation:

(6^5 / 7^3)^2

We know that (a /b) ^c = a^c / b^c

(6^5)^2 /  (7^3)^2

We know that  a power to a power is the powers multiplied a^b^c = a^(b*c)

6^ (5*2)/ (7^(3*2))

6^10/(7^6)

Since the bases are not the same, there is nothing else we can do

Paha777 [63]3 years ago
4 0

Answer:

6 to the 10th over 7 to the 6th

Step-by-step explanation:

You might be interested in
The cost for two different companies to make x candles is shown on the graph.
tia_tia [17]

Answer:

D) Quick Wick will make more candles when the cost is $600.

Step-by-step explanation:

Find the initial value (b) and the cost per candle (m), to write the equation of each line in the slope-intercept form, y = mx + b. This will help for easy comparison.

✔️Wax Art:

m = change in y/change in x

Using (10, 140) and (20, 180),

m = (180 - 140)/(20 - 10) = 40/10

m = 4

Cost per candle = $4

To find b, substitute (x, y) = (10, 140) and m = 4 into y = mx + b

140 = 4(10) + b

140 = 40 + b

140 - 40 = b

100 = b

b = 100

Initial value = $100

To get the equation, substitute m = 4 and b = 100 into y = mx + b

y = 4x + 100

✔️Quick Wick:

m = change in y/change in x

Using (10, 120) and (30, 180),

m = (180 - 120)/(30 - 10) = 60/20

m = 3

Cost per candle = $3

To find b, substitute (x, y) = (10, 120) and m = 3 into y = mx + b

120 = 3(10) + b

140 = 30 + b

120 - 30 = b

90 = b

b = 90

Initial value = $90

To get the equation, substitute m = 3 and b = 90 into y = mx + b

y = 3x + 90

Let's analyse each option given using the information we now have:

✔️Option A: INCORRECT

Cost per candle for made is $1 less for Quick Wick. I.e. cost per candle for Quick wick is $3. Cost per candle for Wax Art is $4.

✔️Option B: INCORRECT

Difference between the initial value sof the two companies = $100 - $90 = $10

✔️Option C:

Find the cost of making 50 candles for each company by substituting x = 50 into each of their equations. Thus:

Wax Art => y = 4x + 100

y = 4(50) + 100

y = $300

Wax Art will make 50 candles for $300

Quick Wick => y = 3x + 90

y = 3(50) + 90

y = $240

Quick Wick makes 50 candles for $240

As we can see, Quick wick is making 50 candles at a lower cost than Wax Art.

Therefore, option C is INCORRECT.

✔️Option D: find out how many candles (x) each company will make when the cost is $600.

Substitute y = 600 in each equation of both companies

Wax Art => y = 4x + 100

600 = 4x + 100

600 - 100 = 4x

500 = 4x

500/4 = x

x = 125 candles

Quick Wick => y = 3x + 90

600 = 3x + 90

600 - 90 = 3x

510 = 3x

510/3 = x

x = 170 candles

Quick Wick will make more candles when he cost is $600.

Therefore, option D is the only CORRECT statement of comparison.

6 0
2 years ago
you must attend a minimum of 85% of the practices in order to play in the playoffs you have made 37 of the 42 practices will you
Deffense [45]
Yes, you'd be able to play.
37/42 = .88 = 88%
So you've attended more than 85% of the practices.
3 0
3 years ago
What values complete each statement?
aliya0001 [1]

For this case we have:

By properties of the radicals \sqrt {a} = a ^{\frac {1} {2}}

So:

(\sqrt {7}) ^ 2 = (7 ^ {\frac {1} {2}}) ^ 2.

Now, for power properties we have:

(b ^ {\frac {c} {d}}) ^ e = b ^ {\frac {c * e} {d}}

Thus, (7 ^ {\frac {1} {2}}) ^ 2 = 7 ^ {\frac {2} {2}} = 7

So:

7 ^ {\frac {1} {2}} = \sqrt {7}in its radical form

Answer:

(\sqrt {7}) ^ 2 = (7 ^ {\frac {1} {2}}) ^ 2= 7 ^ {\frac {2} {2}} = 7 in its simplest form.

7 ^ {\frac {1} {2}} = \sqrt {7}in its radical form


4 0
3 years ago
PLS HELP K12
dybincka [34]

Answer:

I may be wrong

Step-by-step explanation:

top left EE bottom left EH top right EH bottom right HH

4 0
3 years ago
How can I solve this question
Ne4ueva [31]
Plug in the values 1,4, and 9 into the equation one by one. Plug it in as the x value.

y=-1/2 times root 1 = -1/2
(x,y)=(1,-1/2)

y=-1/2 times root 4 = -1
(x,y)=(4,-1)

y=-1/2 times root 9 = -3/2
(x,y)=(9,-3/2)

6 0
3 years ago
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