Answer:
b) 70
c) 62
Step-by-step explanation:
Numbers are relatively prime when they have no factors in common.
__
The factors of 51 are ...
51 = 3×17
The factors of the other numbers are ...
84 = 2²×3×7 . . . . . has a factor of 3 in common with 51
70 = 2×5×7 . . . . . . no factors in common
62 = 2×31 . . . . . . . no factors in common
30 = 2×3×5 . . . . . has a factor of 3 in common with 51
The numbers 70 and 62 are relatively prime to 51.
Answer:
D
Step-by-step explanation:
32+35=67
90-67=23
it won't let me type in the comments for some reason but i got 90 because andgle MLQ is a right angle so it is 90 degrees
Answer: hello your question is poorly written attached below is the complete question
answer :
a) 31.5
b) 24.5
Step-by-step explanation:
Total world output of good given ( Q ) = qA + qB
world demand ( P ) = 100 - Q
cost function for country A = cA (qA) = 8qA
cost function of country B = cB(qB) = 3qB
total world emission = 0.5Q
emission per unit good = 0.5
<u>a) Determine total world emissions when both countries compete in a Cournot fashion</u>
Q = 63
therefore Total world emission = 0.5 ( Q )
= 0.5 ( 63 ) = 31.5
attached below is the detailed solution
<u>b) Determine the total world emissions after Country A enacts a carbon tax</u>
Q = 49
Therefore Total world emission after tax = 0.5 ( Q )
= 0.5 ( 49 ) = 24.5
attached below is the detailed solution
Answer: 1.1 Nm
Step-by-step explanation:
The formula for torque is T = r · F · sin θ
where θ = π/6, r = 20 cm = 0.2 m, F = 11 N
formula for converting radians to degrees is 1 rad × 180/π = 57.296°
θ = π/6 · 180/π = 30°
Substituting r into the formula for torque, we have
T = 0.2 x 11 x sin 30° = 0.2 x 11 x 0.5
T = 1.1 Nm
Answer:
450 ounces
Step-by-step explanation:
We know that the cost of the mixture
must be the cost of the everyday moisturizing lotion
plus the cost of the self-tanning lotion
, which means
.
The cost of any substance will be the cost per ounce of the substance (c), multiplied by the number of ounces (n), which means C=nc, so we have from the previous formula that we have:

But we also know that the number of ounces of the mixture must be the sum of the number of ounces of the everyday moisturizing lotion with the number of ounces of the self-tanning lotion, so we have

We want to calculate the number of ounces of the self-tanning lotion (
), so we solve for that variable:




And substitute our values in this formula, to get:
