So, what is the total lenght of the pieces that wer cut off?
we multiply the lenght by the number:
4
*5=20+
=21
and we subtract this from the original pipe, that is
30
-21
we need to bring the two fractions to the same denominator (by multiplying the fraction art in the first by 3 and 4 the second):
30
-21
=9
so the correct answer is D!
Answer:
The initial amount in the account is $333.33
Step-by-step explanation:
Here, we want to calculate the initial amount in the account.
Let the initial amount be $x
Mathematically;
Simple interest = PRT/100
where P is the amount deposited = $x
R is the rate = 10%
T is the time = 5 years
Simple interest = Present amount - Principal = $(500-x)
By substituting;
500-x = (x * 10 * 5)/100
100(500-x) = 50x
50,000 - 100x = 50x
50,000 = 100x + 50x
150x = 50,000
x = 50,000/150
x = 333.33333333
Which to the nearest penny ; x = $333.33
9514 1404 393
Answer:
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
Step-by-step explanation:
The applicable derivative formula is ...
d(u/v) = (v·du -u·dv)/v²
__
f'(x) = ((-x² -5x -2)(4x +4) -(2x² +4x -3)(-2x -5))/(-x² -5x -2)²
f'(x) = (-4x³ -24x²-28x -8 +4x³ +18x² +14x -15)/(x² +5x +2)²
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
__
Similarly, the second derivative is the derivative of f'(x).
f''(x) = ((x² +5x +2)²(-12x -14) -(-6x² -14x -23)(2(x² +5x +2)(2x +5)))/(x² +5x +2)⁴
f''(x) = ((x² +5x +2)(-12x -14) +2(6x² +14x +23)(2x +5))/(x² +5x +2)³
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
Answer:
2520°
Step-by-step explanation:
The sum of the angles in any triangle is 180°
shape. sides. triangles. sum int angles.
triangle. 180×1=180°
quad. 180×2=360°
pentagon. 180×3=540°
n-sides. n( n−2) 180(n−2)
16-sides. 180×14=2520°
18 dollars because you do 4 x 450 and you get 1800 and that’s 18 dollars
