The diagram tells you it is 33°, so the answer is B
9514 1404 393
Answer:
3 < x < 6
Step-by-step explanation:
Use the perimeter formula to write an expression for the perimeter. Then put that in an inequality with the given limits. Solve for x.
P = 2(L +W)
P = 2((4x) +(2x +1)) = 2(6x +1) = 12x +2 . . . . . fill in the given values; simplify
The perimeter wants to be between 38 and 74 cm, so we have ...
38 < 12x +2 < 74
36 < 12x < 72 . . . . . subtract 2
3 < x < 6 . . . . . . . . . divide by 6
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<em>Additional comment</em>
Solving a compound inequality is very much like solving a single inequality. You need to "undo" what is done to the variable. The rules of equality (ordering) still apply. If you were to multiply or divide by a negative number, the direction (sense) of the inequality symbols would reverse in the same way they do for a single inequality.
Here, our first step was to subtract 2 from all parts of the inequality:
38 -2 < 12x +2 -2 < 74 -2 ⇒ 36 < 12x < 72
The division by 12 worked the same way: all parts are divided by 12.
36/12 < (12x)/12 < 72/12 ⇒ 3 < x < 6
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If it makes you more comfortable, you can treat the perimeter limits as two separate inequalities: 38 < 12x+2 and 12x+2 < 74. Both restrictions apply, so the solution set is the intersection of the solution sets of these separate inequalities.
Answer:
1.668 S
Step-by-step explanation:
We are given that
Product
For first order reaction,


Rate constant=k=
Temperature=
We have to find the time taken by the reaction when concentration of A to decrease from 0.790 M to 0.230 M.


Substitute the values then we get


Hence, it would take 1.668 s for the concentration of A to decrease from 0.790 M to 0.230 M.
Answer:
a.) Marginal Product (MP) = 120
b.) Average Product = 126
c.) At x = 12, the output is maximum.
d.) After 5 levels of inputs diminishing returns set in.
Step-by-step explanation:
Given that,
Q = 72x + 15x² - x³
a.)
Marginal Product is equal to

At x = 8
MP = 72 + 30(8) - 3(8)²
= 72 + 240 - 192
= 120
∴ we get
Marginal Product (MP) = 120
b.)
Average Product is equals to
= 
= 72 + 15x - x²
At x = 6
Average Product = 72 + 15(6) - 6²
= 72 + 90 - 36
= 126
∴ we get
Average Product = 126
c.)
For Maximizing Q,
Put 
⇒72 + 30x - 3x² = 0
⇒24 + 10x - x² = 0
⇒x² - 10x - 24 = 0
⇒x² - 12x + 2x - 24 = 0
⇒x(x - 12) + 2(x - 12) = 0
⇒(x + 2)(x - 12) = 0
⇒x = -2, 12
As items can not be negative
∴ we get
At x = 12, the output is maximum.
d.)
Now,
For Diminishing Return

⇒30 - 6x < 0
⇒-6x < -30
⇒6x > 30
⇒x > 5
∴ we get
For x > 5, the diminishing returns set in
i.e.
After 5 levels of inputs diminishing returns set in.
Answer:
38
Step-by-step explanation:
answer is 37.7, rounded is 38
volume = (1/3) * π * 3² * 4