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Rainbow [258]
3 years ago
5

3x7x7x7x7 in index notation 2x9x9x9x2x9plz helpthx

Mathematics
2 answers:
Leto [7]3 years ago
4 0

3 \times  {7}^{4}
Because there's one 3 & four 7's .

{2}^{2}  \times  {9}^{4}
Because there are two 2's & four 9's
Nikolay [14]3 years ago
3 0

Answer:

1) 3\times 7\times 7\times 7\times 7=3\times 7^4

2) 2\times 9\times 9\times 9\times 2\times 9=2^2\times 9^4    

Step-by-step explanation:

Given : Numbers

1) 3\times 7\times 7\times 7\times 7

2) 2\times 9\times 9\times 9\times 2\times 9

To find : Write the numbers into index notation?

Solution :

Index notation is defined as the shortcut method of writing repeated multiplications by the same number.

Now, The index notation of the given number is

1) 3\times 7\times 7\times 7\times 7

3 repeat 1 time and 7 repeat 4 times.

Index notation is 3\times 7\times 7\times 7\times 7=3\times 7^4

2) 2\times 9\times 9\times 9\times 2\times 9

2 repeat 2 times and 9 repeat 4 times.

Index notation is 2\times 9\times 9\times 9\times 2\times 9=2^2\times 9^4

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It costs $60 per hour to rent a jet ski. The total cost of a jet ski rental
Anastasy [175]

Answer:

y = 60x + 20

Step-by-step explanation:

The number of hours that we ski is a variable cost where each hour costs $60. On top of that, we have a fixed cost of $20 which stays the same no matter how long we ski.

So we can use an equation to find the totla cost C given the number of hours t as follows:

C(t) = 60t + 20

We can use this equation to find the cost of a skiing session by plugging in some value for t. For example, if we ski for 3 hours:

C(3) = 60(3) + 20 = $200

The equation can also be written using x and y and mean the same thing.

7 0
3 years ago
A rectangular poster is to contain 882 square inches of print. The margins at the top and bottom of the poster are to be 2 inche
Zinaida [17]

Answer:

L  =  23 in

h  = 46  in

Step-by-step explanation:

Let call  " x "  and  " y "  dimensions of the print area of the poster then:

882 = x*y  and   y = 882/x

We also know that dimensions of the poster is:

L  =  x + 2   in  and     h  =  y + 4 in

Therefore area of the poster is:

A(p)  = ( x + 2 ) * ( y + 4 )  And area as function of x is:

A(x)  =   ( x + 2 ) * ( 882/x + 4 )

A(x)  =  882 + 4*x + 1764 /x  + 8

Taking derivatives on both sides of the equation we have:

A´(x)  =  4  - 1764/x²

A´(x)  = 0      ⇒      4  - 1764/x² = 0      ⇒ 4*x² - 1764  =  0

x²  =  1764 / 4

x²  = 441

x  = 21 in      and    y  =  882/x         y  = 42

The second derivative  A´´(x)  is > 0  ( the second term changes its sign to +) there is a minimum for the function at the point      x = 21

As x   and  y are dimensions of the printing area of the poster, dimensions of the poster  are

L  = x  +  2   =   21  + 2  =  23 in   and

h = y  +  4   =   42  + 4  =  46  in

4 0
3 years ago
You have 10 liters of juice that is 40% juice and 60% water. You want the mixture to be 70% juice and 30% water. How many liters
damaskus [11]

Answer:

14 liters

Step-by-step explanation:

10 liters : 4 liters of juice and 6 liters of water

4/10 of juice and 6/10 of water

make it to 70% of juice and 30% of water

add 14 liters of juice

14/20=70% of juice

6/20=30% of water

4 0
3 years ago
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