Answer:
3) 
, 
Step-by-step explanation:
Given that the explicit rule for a sequence is 
.
Now we need to find about what is the recursive rule for the sequence and match with the given choices to find the correct choice.
1) 
,
2) 
, 
3) ,
4) 
,
Plug n=1 into given formula to get first term
base of the exponent part is (-2) so that means we need to multiply -2 to the previous term to get nth term
Hence correct choice is: 3) ,
Answer:
43 points
Step-by-step explanation:
a football field is 12 feet, so 12x3=36 and 36+7=43. So if maybe it would be 43? Lemme know if it's right <3. Hope this helped.
Answer:
¬(W∨S)→¬(J∨E)
D→(B∨C)
X is true
No
Step-by-step explanation:
The hypotheses "neither water nor soft drinks can quench your thirst" translates to ¬(W∨S) ("neither nor" negates the disjunction W∨S). The "if,... then" translates to the implication symbol (arrow). The conclusion "juice will not do it, unless the juice contains electrolytes" translates to ¬(J∨E). This is because if J or E were true, then J would be true (because E implies J), contrary to the conclusion that J is false ("juice will not do it"), then J∨S is false.
The hypothesis here is "the dyer breaks" hence D is the hypothesis. The conclusion is "we will hang the clothes to dry, or take the clothes to a coin-operated laundry" which is the same as (B∨C).
The proposition p→p is always true (according to truth tables). In this case, p:=X is true, then p is true and X is true.
X∨Y is false if and only if X is false and Y is false, so both statements X,Y must be false.
Area = the top semicircle + the rectangle AEBD
= 1/2 pi*6^2 + 6*12 = 128.55 cm^2 to nearest 100th
Perimeter = 6pi + 12 + 2 pi * 3 = 49.70 cm
