Answer: -13, -15
Step-by-step explanation:
If x is the smallest integer, then:
x + (x + 1) + (x + 2) = x - 27
3x + 3 = x - 27
2x = -30
x = -15
Integers: -15, -14, -13
Knowing the power rule:
dx*n*x^(n-1) all you'd need to do is bring the 7 down and multiply it by -3, then subtract 1 from 7. Because dx is 1 you don't need to worry about it (you'll use chain rule for that)
So your final answer should be dy/dx= -21x^6
Answer:42.98
Step-by-step explanation:
Hf=√(11^2-8^2)
Hf=√(121-64)
Hf=√(57)
Hf=7.5
11/sin90 =7.5/sinG
Sin90=1
11/1=7.5/sinG
Cross multiply
11 x sinG=7.5 x 1
11sinG=7.5
Divide both sides by 11
11sinG/11=7.5/11
sinG=0.6818
G=sin(inverse)(0.6818)
G=42.98
Therefore the probability that the angle measure are supplementary are:120,60
Answer:
b = 0.7w
Step-by-step explanation:
To make a shade of blue paint :
3 1/2 quarts of blue
5 quarts of white
3 1/2 α 5
7/2 = 5k
Where k is the proportionality constant
k = 7/2 ÷ 5
k = 7/2 * 1/5
k = 7/10
k = 0.7
To mix :
b quartz of blue with w quartz of white
b = kw
b = 0.7w