Carlos and Ana were asked to find an explicit formula for the sequence -10,-4,2,8,...−10,−4,2,8,...Minus, 10, comma, minus, 4, c
mars1129 [50]
Answer:
Ana is correct
Step-by-step explanation:
Given
Required
Determine who is right?
To do this, we simply test each sequence.
For Carlos:
When n = 1
When n = 2
<em>This is incorrect because the first and second term of the sequence are -10 and -4 not -4 and 2</em>
<em></em>
For Ana:
When n = 1
When n = 2
When n=3
When n = 4
This is correct.
<em>Hence, Ana is correct</em>
Answer: The answer is B.
Step-by-step explanation:
Volume of cylinder is π(2/2)²(4)=4πcc. Number of capsules=4π/3.5=3.59 capsules, so he will need about 4 capsules to fill the cylinder.
The answer is:
.
____________________________________________Explanation:____________________________________________We have: " 6⁻¹ * (-2)³ * (-4)⁻² = ? " ;
_______________________________________Note: "6⁻¹ =
=
" .
Note the following property of exponents:
____________________________________ a⁻ˣ =
; {x ≠ 0}.
____________________________________________Note: (-2)³ = (-2)*(-2)*(-2) = 4*(-2) = -8 .
_______________________________________Note: (-4)⁻² =
;
=
;
=
;
____________________________________So; we have:
_____________________________________6⁻¹ * (-2)³ * (-4)⁻² ;
=
;
→ Cancel out the "8" in the "numerator" (to a "1") ; and the "16" in the number (and change to a "2"); since: {"16÷8 = 2" ; and since: "{8÷8=1"} ;
→and we have:
;
=
.
_____________________________________ → The answer is:
.
_____________________________________
