A is not right. Half the cookie would have an angle of 180
B is not right. 4 pieces would have an angle of 288
C is correct. 360/5 is 72 degrees
D is not right. 2 pieces would have an angle of 144
E is correct 90<144 so a 90 degree angle would fit in 2 pieces
Step-by-step explanation:
for part a
initial means starting point and starting point is always 0
so the question means number of thousands of bacteria in 0 hours, your n being the number of hours. so in part a u will simply just put 0 as n in equation
2^(0+3)
2³=8 thousands of bacteria
in part b
2^(n+3) means total number of bacteria
2^(n-1) is number of groups
its asking for number of bacteria in each group
so u will simply divide number of bacteria by groups
its like u have 30 candies and there are 5 groups and they ask u to find number of candies in each group so u simply divide 30 by 5
so 2^(n+3)/2^(n-1)
base is same so powers will subtract since there is division sign
2^(n+3-(n-1))
2^(n+3-n+1)
2^(3+1)
2^4= 16 thousands of bacteria in each group
Answer:
sin²x
Step-by-step explanation:
we have
(1 − cos x)(1 + cos x)=1-cos²x
Remember that
sin²x+cos²x=1 ------> i-cos²x=sin²x
therefore
(1 − cos x)(1 + cos x)=sin²x
You have to use the distributive property for the numerator on both equations.
Answer:
6x^3 +10x^2 -11x +15
Step-by-step explanation:
2x(3x2 + 8x – 4) – 3(2x2 + x – 5)
Distribute
6x^3 + 16x^2-8x -6x^2 -3x+15
Combine like terms
6x^3 + 16x^2 -6x^2 -3x-8x+15
6x^3 +10x^2 -11x +15
Standard form is from highest to lowest power
6x^3 +10x^2 -11x +15
