Answer:
a) 5151 b) 249001 c)24651 d)43561
Step-by-step explanation:
a) a1=1 a2=2
d=a2-a1= 2-1=1
Define the quantity of the terms of this sequence
an=a1+d(n-1)
101= 1+ 1(n-1)
n=101
Sn= (a1+an)/2*n=( (1+101)/2)*101=51*101=5151
b) a1=1 a2=3
d=a2-a1=3-1=2
an=a1+d(n-1)
997= 1+ 2(n-1)
498= n-1
n=499
Sn= (a1+an)/2*n= (1+997)/2*499= 249001
c) a1=4 a2=9
d=a2-a1=9-4=5
an=a1+d(n-1)
494=4+5(n-1)
n=99
Sn= (a1+an)/2*n=( 4+494) /2*99= 498/2*99= 249*99= 24651
d) a1=881, a2=872
d=a2-a1= 872-881=-9
an= a1+d(n-1)
8=881-9*(n-1)
9(n-1)= 873
n=98
Sn= (a1+an)/2*n= (881+8)/2*98= 889*49= 43561
Step-by-step explanation:
Statements
1.RA equal RB
2.RP equal RP
3.RA is perpendicular to AP, RB is perpendicular to PB
4.right triangle RAP is congruent to Right triangle RBP
5.PA equal PB
Reasons
1.radii of same circle are equal
2.Reflexitive
3.Radius is perpendicular to tangent
4.HL
5 CPCTC
Decay expression is stated as follows:
N(t) = N(o)e^(-0.693t/t1/2)
N(t) = Quantity remaining after time, t; N(o) = Initial quantity, t = time, t1/2 = Half life
Therefore,
N(6.55) = 2*e^(-0.693*6.55/5.2) = 0.835 g
Answer:
x=7 multiplicity of 2
Step-by-step explanation:
14x - 49 = x^2
Subtract x^2 from each side
-x^2 +14x - 49 = x^2-x^2
-x^2 +14x - 49 = 0
Multiply by -1
x^2 -14x +49 =0
What 2 numbers multiply together to give you 49 and add together to give you -14
7*-7 = 49
-7+-7 = -14
(x-7) (x-7) = 0
Using the zero product property
x-7 = 0 x-7 =0
x-7+7= 0+7 x-7+7 =0+7
x =7 x=7