Answer:
x=5
Step-by-step explanation:
it all adds up to 180 so set (9x+2)+133=180
-133=-133
47
9×5=45+2=47=47
Answer:
B. 36 C. 180 D. 240 E. 1,656
Step-by-step explanation:
Partial product is the multiplication of individual digit of a number in turn with each digit of the others where each digit maintains its place.
Using distributive property to multiply 24 × 69 to determine our partial products:
i.e.
24 × 69 = 24 × (60 + 9)
= (24 × 60) + (24 × 9)
= 60 (20 + 4) + 9(20 + 4)
So; we can have:
= (60 × 20) + (60 × 4) + (9 × 20) + (9 × 4)
= 1200 + 240 + 180 + 36
= 1656
Demand
D(q)=(12-q)^(1/2)
Revenue,
R(q)=q*D(q)=q*sqrt(12-q)
At maximum revenue,
R'(q)=0
where
R'(q)=sqrt(12-q)-q/[2(sqrt(12-q))]=0
Solve for q=8.
Hence, quantity=8, price=sqrt(12-q)=sqrt(12-8)=sqrt(4)=2
Answer:
x = theta = 0°
Step-by-step explanation:
Given the trigonometry function
Tan²x/2-2 cos x = 1
Tan²x-4cosx = 2 ... 1
From trigonometry identity
Sec²x = tan²x+1
tan²x = sec²x-1 ... 2
Substituting 2 into 1, we have:
sec²x-1 -4cosx = 2
Note that secx = 1/cosx
1/cos²x - 1 - 4cosx = 2
Let cosx. = P
1/P² - 1 - 4P = 2
1-P²-4P³ = 2P²
4P³+2P²+P²-1 = 0
4P³+3P² = 1
P²(4P+3) = 1
P² = 1 and 4P+3 = 1
P = ±1 and P = -3/4
Since cosx = P
If P = 1
Cosx = 1
x = arccos1
x = 0°
If x = -1
cosx = -1
x = arccos(-1)
x = 180°
Since our angle must be between 0 and 1 therefore x = 0°
