The 15th term in the given A.P. sequence is a₁₅ = 33.
According to the statement
we have given that the A.P. Series with the a = 5 and the d is 2.
And we have to find the 15th term of the sequence.
So, for this purpose we know that the
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
And the formula is a
an = a + (n-1)d
After substitute the values in it the equation become
an = 5 + (15-1)2
a₁₅ = 5 + 28
Now the 15th term is a₁₅ = 33.
So, The 15th term in the given A.P. sequence is a₁₅ = 33.
Learn more about arithmetic progression here
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Company B; the ratios of cost to weight are equivalent.
Step-by-step explanation:
Step 1:
In the equation, 
k is the constant of proportionality.
If the values are in accordance with , the values of k will be constant for all the values.
So we determine the values of k for both the companies and see which has a constant k.
If 
. In these tables, y is the total cost and x is the weight in lbs.
Step 2:
For company A,
when 
when 
when 
For company B,
when 
when 
when 
So company B has a constant value of 
.
Answer:
7
Step-by-step explanation:
mean is average of the numbers
add all values then divide by the numbers
(1+5+8+10+11) / 5
35 / 5 = 7
Slope=4 Point=(1,6)
Y=Mx+b
6=4(1)+b
6=4+b
-4 -4
————
2=b
Equation:4x+2
Answer:
a) 100 metres
b) 10 metres
Step-by-step explanation:
Given: the approximate height, h, in meters, travelled by golf balls hit with two different clubs over a horizontal distance of d meters is given by the functions: 
To find: distances when the ball is at the same height when either of the clubs are used. Also, to find this height
Solution:
(a)
(b)
Put d = 100 in 
