Answer:
(B) f(-4)=g(-4) and f(0)=g(0)
Step-by-step explanation:
From the given graph, the lines f(x) and g(x) intersects at two different points.
- When x=-4, f(-4)=4 and g(-4)=4
- When x=0, f(0)=4 and g(0)=4
Therefore, the points which represent where f(x)=g(x) are:
- f(-4)=g(-4); and
- f(0)=g(0)
The correct option is B.
Every 1 minute, you multiply the mass by 27.7% or 0.277
after 1 minute, you multiply once
after 2 minutes, you multiply twice
3, thrice
etc
so after 13 minutes, you multiply 13 times or 0.277^13
so what is 970g *0.277^13 =?
Answer:
The product is 
Step-by-step explanation:
To do this we must understand how the basic operations apply to powers. If the power has the same base and we multiply them, the base remains the same while we sum the powers, if we divide them the base remains the same and we subtract the powers, if we try to make a power of a power the two powers multiply. Applying this rule we have:
Answer:
First we found the sum of 15.438 and 3.18. The subtract the answer from 32.476.
Option A is correct.
Step-by-step explanation:
The total width of box is = 32.476
Width of box of T-shirts = 15.438
Width of box of Socks = 3.18
We need to find width of coat box.
The width of coat box can be found as:
Total Width = Width of box of T-shirts + Width of box of Socks + width of coat box
32.476 = 15.438 + 3.18 + width of coat box
32.476 = 18.618 + width of coat box
width of coat box= 32.476 - 18.618
width of coat box = 13.858
So, The Width of coat box = 13.858 inches
First we found the sum of 15.438 and 3.18. The subtract the answer from 32.476.
Option A is correct.
Step-by-step explanation:
dA/dt = 6 − 0.02A
dA/dt = -0.02 (A − 300)
Separate the variables.
dA / (A − 300) = -0.02 dt
Integrate.
ln(A − 300) = -0.02t + C
Solve for A.
A − 300 = Ce^(-0.02t)
A = 300 + Ce^(-0.02t)
Use initial condition to find C.
50 = 300 + Ce^(-0.02 × 10)
50 = 300 + Ce^(-0.2)
-250 = Ce^(-0.2)
C = -250e^(0.2)
A = 300 − 250e^(0.2) e^(-0.02t)
A = 300 − 250e^(0.2 − 0.02t)
