The complete sequence is<u> 24, 30, 36, 42, 48, 54, 60</u>
<h3>The nth term of an arithmetic progression</h3>
The nth term of an arithmetic progression is expressed according to the equation;
Tn = a + (n-1)d
where
a is the first term
n is the number of terms
d is the common difference
Determine the common difference
d = 42-b = b - 30
-b-b = -30-42
-2b = -72
b = 36
d = 36-30
d = 6
For the first term;
d = 30 - a
6 = 30 - a
a = 24
For the value of c
c = 42 + 6
c = 48
For the value of d
d = 48 + 6
d = 54
For the value of e
e = 54 + 6
e = 60
Hence the complete sequence is<u> 24, 30, 36, 42, 48, 54, 60</u>
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Answer: 24
Step-by-step explanation: yeah
Answer:
456.25m
Step-by-step explanation:
Since the question did not ask for what to find, we can as well look for the maximum height reached by the object
Given the height of an object thrown vertically expressed as;
s=-16t^2+100t+200.
At max height,
dS/dt = 0
-32t+100 = 0
-32t = -100
t = 100/32
t = 3.125s
Get the Max height
s(3.125) = -16(3.125)²+100(3.125)+200
s(3.125) = -156.25+312.5+200
s(3.125) = 456.25m
Hence the maximum height reached by the object is 456.25m
Answer:
17,576,000
Step-by-step explanation:
From A to Z, there are 26 possible letter characters (L).
From 0 to 9, there are 10 possible numeric characters (N)
If each standard automobile license plate number in Pennsylvania follows the pattern LLLNNNN, the number of license plates that can be formed is:
17,576,000 distinct license plate numbers can be formed in Pennsylvania.
Answer:
140 I THINK
Step-by-step explanation:
Surface area is the sum of all the areas of this 3d shape.
triangles- (length*width) / 2
quadrilaterals- length*width
17*2= 34
17*1=17
17*5= 85
1*2= 2
1*2= 2
85+17+34+2+2= 140
