(b). → Simplify: [{5^(x-+1) + 5^x}/{6×5^x}]
= [{5^(x+1+x)}/{6×5^x}]
= [{5^(2x+1)}/{6×5^x}]
= [{5^(2x+1)}/{6×5^x}]
= [{5^(2x+1-x)}/6]
= [{5^(x+1)}/6]Ans.
(c). 4a³b²
= 4(3)³(-2)²
Since, a = 3 and b = -2.
so,
= 4(3*3*3)(-2*-2)
= 4(27)(4)
= 108(4)
= 432Ans.
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The mode is 2.4 idk the rest
Answer:
The value of given function for x = - 3 is 9
Step-by-step explanation:
Given as :
The y is the function of x is as
f( x ) = x²
So, For any value of x , the value of f( x ) should change
If, x = - 3
So, f ( - 3 ) = ( - 3 )²
Or, f ( - 3 ) = ( - 3 ) × ( - 3 )
i.e f ( - 3 ) = ( - × - ) ( 3 × 3 )
Or, f ( - 3 ) = ( + ) ( 9 )
∴ f ( - 3 ) = 9
So, The value of function f ( - 3 ) = 9
Hence , The value of given function for x = - 3 is 9 Answer
Area of the composite shape = 292 yd²
Solution:
The shape is splitted into two rectangles.
The reference image of the answer is attached below.
Length of the top rectangle = 21 yd
Width of the top rectangle = 29 yd – 22 yd = 7 yd
Length of the side rectangle = 29 yd
Width of the side rectangle = 26 yd – 21 yd = 5 yd
Area of the figure = Area of the top rectangle + Area of the side rectangle
= (length × width) + (length × width)
= (21 × 7) + (29 × 5)
= 147 + 145
= 292
Area of the composite shape = 292 yd²
Answer:
1/4
Step-by-step explanation:
In a box plot, each whisker represents
1
4
of the data. So,
1
4
of the boats could support 12 or more pennies.