1, a.) The two specific conjectures are in the first image.
1, b.) The two general conjectures are in the second image.
2, a.) Two specific conjectures for this pattern are:
- The common difference between two consecutive terms is 3.
- And the given difference is A.P.
2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.
For finding its nth term we can use the formula: a(n) = a + (n-1) x d.
2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.
Answer:The object will hit the ground after 5 seconds
Step-by-step explanation:
Given height of tower =80 ft
h=-16
+64t+80
When the object will hit the ground its height=0
0=-16+64t+80
Multiplying both sides by -1
16t²-64t-80=0
Dividing by 16 both sides
t²-4t-5=0
(t-5)(t+1)=0
t=5 or -1
So t=5 since time cannot be negative
The object will fall after 5 seconds
3.5m + 2.5 = 79.5 is the equation that could be used to determine m, the number of miles in the taxi ride.
Given in question,
Pick-up fee = $2.50
Fee per mile = $3.50
Total fare = $79.50
Let the no. of miles = m
Fee for m miles = 3.50m
Equation, 3.50m + 2.50 = 79.50.
Hence, the equation is 3.50m + 2.50 = 79.50.
To learn more about equation here:
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Answer:
is the last one
Step-by-step explanation:
the line is dotted and shaded above
Vertices: 15
Edges:24
Faces:?
Their are 12 faces
The Answer is D
