A
this is a geometric sequence since there exists a common ratio r between the terms
r = 
= 
= 
= 3
B
to obtain the next term in the sequence multiply the previous term by 3
= 3 
← recursive rule
C
the n th term of a geometric sequence is
= 
where is the first term in the sequence
= 7 × 
← explicit rule
Answer:
he expression is undefined where the denominator equals
0
, the argument of an even indexed radical is less than
0
, or the argument of a logarithm is less than or equal to
0
.
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Step-by-step explanation:
Answer:
36 inches
Step-by-step explanation:
We know that 1 ft = 12 inches
2 ft = 2 * 12 = 24 inches
3 ft = 3*12 = 36 inches
Answer:
1.) Zero ( 0 )
2.) 55.47 feet , 8.6 feet
3.) 17.2 feet
Step-by-step explanation:
The height, in feet, of the ball is given by the equation h(x)=−.25x2+4.3x, where x is the number of feet away from the golf club (along the ground) the ball is.
1.) Since the equation has no intercept,
The ball will start zero feet above the ground.
2.) The distance of the ball at the maximum height will be achieved by using the formula
X = -b/2a
Where b = 4.3, a = -0.25
Substitutes both into the formula
X = -4.3 / 2( - 0.25 )
X = - 4.3 / - 0.5
X = 8.6 feet
Substitute X into the function to get the maximum height
h(x) = −.25(8.6)^2 + 4.3(8.6)
h(x) = 18.49 + 36.98
h(x) = 55.47 feet
3) As the ball returns to the ground, the height will be equal to zero, therefore,
0 = -0.25x^2 + 4.3x
0.25x^2 = 4.3x
X = 4.3/0.25
X = 17.2 feet
The ball returns to the ground at about 17.2 feet away
Given: 8^6/8
Answer:32768
Step by step explanation:
- To find we must use, PEMDAS, order of operations. (Parenthesis, exponents, multiplication, division, addition, and subtraction.
- Since we have no parenthesis we do exponents first
- Since we are dividing we do 8^6-1 divided by 8
- The value of 8^6 is 262144
- Now we divide 252144 by 8 which gives us 32768
- Therefore, our answer is 32768
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