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saveliy_v [14]
3 years ago
6

(6^(x))^(10)=((6^(12)))/(6^(4))

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
4 0

Answer:

x=4/5

Step-by-step explanation:

6^x^10 = 6^12 / 6^4

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

6^x^10  = 6^10x

and

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

6^12 / 6^4 = 6^(12-4) = 6^8

Replacing into the original equation

6^x^10 = 6^12 / 6^4  

6^(10x) = 6^8

The bases are the same, so the exponents must be the same

10x = 8

Divide each side by 10

10x/10 = 8/10

x = 4/5

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If you purchased a model A​ car, what is the probability that the new car will have zero​ problems?
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a. If you purchased a model A​ car, what is the probability that the new car will have zero​ problems? The probability that the new model A car will have zero problems is :___ ​(Round to four decimal places as​ needed.)

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Hope this helps you find your answer

6 0
3 years ago
Read 2 more answers
Which equation can be represented using the number line?
kvasek [131]

Answer:

the first one : 3/4 ÷ 1/8 = 6

Step-by-step explanation:

remember, dividing something by a fraction is the same as multiplying by the upside-down fraction.

like here

3/4 ÷ 1/8 = 3/4 × 8/1 = 3×8 / 4×1 = 24/4 = 6

you can see that confirmed in the graph, where every 1/4 contains 2/8. so, 1/8 fits 6 times into 3/4.

the other answer options are simply not true

1/8 ÷ 3/4 = 6

1/8 × 4/3 = 4/24 = 1/6 <> 6

6 ÷ 3/4 = 1/8

6/1 × 4/3 = 24/3 = 8 <> 1/8

6 ÷ 1/8 = 3/4

6/1 × 8/1 = 48 <> 3/4

8 0
3 years ago
Help please
user100 [1]

Answer:

31 (i.e 3 tens and 1 unit)

Step-by-step explanation:

217 can be split up as,

2 hundreds, 1 tens, and 7 units.

186 can be split up as,

1 hundred, 8 tens and 6 units

If we solve straight we'll have

(2-1)hundreds + (1-8)tens + (7-6)units.

(1-8)tens will give a negative value, complicating the operation.

To make our operation easier we can use the fact that 1 hundred is equal to 10 ten to further split the 217, and it becomes

1 hundred, 11 tens and 7 units.

The operation becomes

(1-1)hundreds + (11 - 8)tens + (7-6)units

= 0 hundred + 3tens + 1 unit

= 3 tens + 1unit

= (3 x 10) + 1 = 31

4 0
3 years ago
H.<br> R(x) = kx – 2x^2 ; R(1/4)<br> R(-1/4)<br> find k.
True [87]

Answer:

k=0

Step-by-step explanation:

R(x)=kx-2x²

R(1/4)=k(1/4)-2(1/4)²=k/4-1/8

R(-1/4)=k(-1/4)-2(-1/4)²=-k/4-1/8

R(1/4)=R(-1/4)

k/4-1/8=-k/4-1/8

k/4+k/4=1/8-1/8

2k/4=0

2k=0

k=0

6 0
3 years ago
Use the original price and the markup to find the retail price.
RSB [31]

Answer:

$40,50

Step-by-step explanation:

36 increase 12.5% =

36 × (1 + 12.5%) = 36 × (1 + 0.125) = 40.5

6 0
3 years ago
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