Answer:
2.9 years
Step-by-step explanation:
Given that :
Half-life t1/2 = 9 years
Initial mass = I = 70 grams
A = final mass = 56 grams
t = time taken to reach final amount
Using the exponential half life relation :
A = I(0.5)^t/t1/2
56 = 70(0.5)^t/9
56/70 = 0.5^t/9
0.8 = 0.5^t/9
Log 0.8 = log 0.5^t/9
−0.096910 = −0.301029 * t/9
t/9 = 0.096910 / 0.301029
t/9 = 0.3219291
t = 0.3219291 * 9
t = 2.8973619
t = 2.9 years
Just multiply them together and get a4-2a2-24.
(a2-6)(a2+4)
F: a4
O:4a2
I:-6a2
L:-24
Add together
a4-2a2-24
Step-by-step explanation:
7 X + 8 = X+12 + 3X+20
3 X = 24
X= 8
m< RPQ = 8+12 = 20
Answer:
In the picture attached, the question is shown.
a) Applying Pythagorean theorem to triangle ABC, and solving for AC:
CB² + BA² = AC²
5² + 12² = AC²
√169 = AC
13 cm = AC
b) Applying Pythagorean theorem to triangle ACD, and solving for AD:
CD² + AC² = AD²
5² + 13² = AD²
√194 = AD
13.9 cm = AD
Step-by-step explanation:
Step-by-step explanation:
Since we are told that 10 is a zero,
(x−10) must be a factor:
F(x)=2x3−14x2−56x−40
F(x)=(x−10) (2x2+6x+4)
F(x)=2(x−10)(x2+3x+2)
F(x)=2(x−10)(x+2)(x+1)
So the other two zeros are
x = -2 and x= −1