Answer:
t =1.621860432
Step-by-step explanation:
6e^0.25t = 9
Divide each side by 6
6/6e^0.25t = 9/6
e^0.25t = 3/2
Take the ln of each side
ln e^0.25t = ln (3/2)
.25t = ln (3/2)
Divide each side by .25
.25t/.25 = 1/.25 ln (3/2)
t = 4 ln (3/2)
t =1.621860432
Straight line
Explaintion .
<span>for the first part, realize that the hour and minute hands are moving at different rates; in one hour, the minute hands moves all the way around the face of the clock, and thus moves a total of 360 degrees or 2 pi radians; the hour hand moves only 1/12 away around the clock, so covers only 30 degrees or Pi/6 radians.
Now, the LINEAR distance traveled by the tip of each hand is also determined by the length of the hand. In the case of the minute hand, it sweeps out a circle of radius 10 cm, so traces out a circle of radius 10 cm. Since the circumference of a circle is 2*pi*r, the minute hand (remember it made one complete cycle) covers a distance of 2*pi*10cm=20 Pi cm
The hour hand covers only 1/12 a circle, but that circle is only 6 cm in radius, so the distance traveled by the tip of the minute hand is:
1/12 *[2 *pi*r]=1/12*[12*pi]=pi
so the difference is 19pi
for the last part, you should draw a diagram of the two hands, the minute hand is 10 cm in length, the hour hand is 6 cm in length, and they are 30 degrees apart...from that drawing, see if you can figure out the remaining leg of the triangle you can form from them
good luck</span><span>
</span>
Step-by-step explanation:
x=−y−2z+3
x=y+32z+1
x=13y+23z+13
Answer:
P= -2x +46
Step-by-step explanation:
the relation between price and demand is
P= mx +b ........................1
when demand is 10 shirts price is $26
when demand is 20 shirts price is $6
firstly put P= 26 and x= 10 in 1
26= 10m + b.......................2
secondly put x= 20 and P= 6 in 1
6= 20m + b ............................3
solving 2 and 3 we get
m = -2
putting this value of m in either of 2 and 3 to get b
b= 46
so the final relation obtained by putting m= -2 and b= 46 in 1 we get
P= -2x +46
