Step-by-step explanation:
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Answer:
x^2 + 8x + 16
Step-by-step explanation:
Given length of square x + 4.
Area of square with side S is given by
.
Therefore are of square with side x + 4 is given by 
Area of square = 
Thus, x2 + 8x + 16 expression represents the area of a fabric square.
Answer:
The ball will reach a height of 5 ft by the 4th time.
Step-by-step explanation:
The initial height of the ball is 40 ft, when it bounces from the floor once the height will be 20 ft, the second time it'll be 10 ft, and so on. The sequence that can represent the maximum height of the ball after each bounce is:
{40, 20, 10,...}
This kind of sequence is called a geometric progression, in this kind of progression the next number is related to the one before it by the product of a constant called ratio, in this case 1/2. To calculate a specific position in this sequence we only need the ratio and the first number, using the formula below:
a_n = a*r^(n-1)
Where n is the position we want to know, a is the first number and r is the ratio. In this case we have:
a_4 = 40*(1/2)^(4-1) = 40*(1/2)^3 = 40/8 = 5
The ball will reach a height of 5 ft by the 4th time.
3 times 1/10 is equal to 3/10, whereas 3 times 10 is equal to 30.
3/ 10 is less than 30.
We can write this as 3 * 1/10 compared to 3 * 10
If we divide both sides by 3, we then compare 1/10 and 10.
1/10 is less than 10, so 3 times 1/10 is less than 3 times 10.
We can rewrite 1/10 = 0.1, so 3 * 0.1 is 0.3 whereas 3 * 10 = 30.
Answer:
Yes no
Step-by-step explanation:
B is correcttttt