Answer:
Step-by-step explanation:
2) Let 't' be the temperature
t < 7
Height be 'h'
h >= 42
Cos be represented by 'c'
c >= 125
3) Distributive property: a*(b +c) =(a*b) + (b*c)
2(5a + 3b) + 5a +2b = 2*5a + 2*3b + 5a + 2b
= 10a + 6b + 5a + 2b
= 10a + 5a + 6b + 2b {Combine like terms}
= 15a + 8b
6y + 2(3x + 5) + 2y + 3 = 6y + 2*3x + 2*5 + 2y + 3
= 6y + 6x + 10 + 2y + 3
= 6y + 2y + 10 +3 + 6x
= 8y + 13 + 6x
Answer:
22.470
Step-by-step explanation:
In this example you have to use the trigonometric function sine which is defined as 
Plug in known values:
Multiply both sides by 25
Approximate sin(64) using a calculator:
Simplify
Answer:
w-6b+4/6
Step-by-step explanation:
To get the answer you have to first open the bracket which will give you w=6a+6b-4.You then take 6b-4 to the other side to meet w after this divide all by 6 to make a the subject of the formula.
Answer:
1. Use Pascal's Triangle to expand the binomial.
(d – 3)6
d6 – 18d5 + 135d4 – 540d3 + 1,215d2 – 1,458d + 729
d6 + 18d5 + 135d4 + 540d3 + 1,215d2 + 1,458d + 729
d6 – 6d5 + 15d4 – 20d3 + 15d2 – 6d + 1
d6 + 6d5 + 15d4 + 20d3 + 15d2 + 6d + 1
2. Use the Binomial Theorem to expand the binomial. (3v + s)5
s5 – 5s4v + 10s3v2 – 10s2v3 + 5sv4 – v5
s5 + 15s4v + 90s3v2 + 270s2v3 + 405sv4 + 243v5
s5 + 45s4v + 270s3v2 + 810s2v3 + 1,215sv4 + 729v5
s5 + 15s4 + 90s3 + 270s2 + 405s + 243
3. What is the fourth term of (d – 4b)3?
b3
–b3
64b3
–64b3
Step-by-step explanation:
Answer:
(D^2 + 9)y = cos 2x….(1). The corresponding homogeneous equation is (D^2 +9)y= 0,…(2), whose auxiliary equation is m^2 + 9 = 0, which has (+/-)3i as roots. The general solution of (2) is y = A.cos(3x) + B.sin(3x). Now to get a general solution of (1) we have just to add to the above, a particular solution of (1). One such solution is [cos(2x)]/[-2^2 +9] = (1/5).cos 2x. Hence a general solution of the given equation is given by y = A.cos(3x) + B.sin(3x) + (1/5)cos(2x), where A and B are arbitrary constants. The above solution incorporates all the solutions of the given equation.
Step-by-step explanation:
