Answer:
x=
Step-by-step explanation:
d
Answer:
when you multiply a whole number by itself it will obviously get bigger.
4 to the 2nd power equals 16 because 4x4 = 16
if you were to multiply a smaller number though, it wouldn't get as big.
Each number you put to the same exponent will not get bigger at the same rate since each number isnt being multiplied by the same thing.
ex. 4 and 6 are raised to the second power both dont get multiplied by the same number 4 is multiplied by 4, and 6 by 6, therefore the bigger the number the bigger it grows.
Fractions get smaller for this reason when you have the fraction 2/3 raised to the second, both numbers must be raised. 2 to the second equals 4 while 3 to the second is 9.
1/2 to the second would then equal 1/4 since 1 to the second equals 1 and 2 to the second equals 4.
Step-by-step explanation:
9514 1404 393
Answer:
- Mark: s = 200 +20j
- Ryan: s = 350 +15j
- 30 jobs
Step-by-step explanation:
The amount in savings (s) will be the initial amount plus the product of the pay per job and the number of jobs (j).
<u>Mark</u>
He initially has $200, and is paid $20 per job. His savings will be ...
s = 200 +20j
<u>Ryan</u>
He initially has $350, and is paid $15 per job. His savings will be ...
s = 350 +15j
<u>Same Savings</u>
The savings will be the same when the difference between the amounts is zero:
s - s = 0
(200 +20j) -(350 +15j) = 0 . . . . . substitute the expressions for s
-150 +5j = 0 . . . . . collect terms
-30 +j = 0 . . . . . . . divide by 5
j = 30 . . . . . . add 30
The brothers will have the same amount in savings after they each work 30 jobs.
Answer:
Step-by-step explanation:
First put the lower limit, i.e., x=0,
F(x)=8cos[2(0)]=8cos(0)=8(1)=8
;cos(0)=1
Now,put the upper limit of given interval, i.e., x = π,
F(x)=8cos[2(π)]=8cos(2π)=8(1)=8
;cos(2π)=1
Answer:
Height of the fighter plane =1.5km=1500 m
Speed of the fighter plane, v=720km/h=200 m/s
Let be the angle with the vertical so that the shell hits the plane. The situation is shown in the given figure.
Muzzle velocity of the gun, u=600 m/s
Time taken by the shell to hit the plane =t
Horizontal distance travelled by the shell =u
x
t
Distance travelled by the plane =vt
The shell hits the plane. Hence, these two distances must be equal.
u
x
t=vt
u Sin θ=v
Sin θ=v/u
=200/600=1/3=0.33
θ=Sin
−1
(0.33)=19.50
In order to avoid being hit by the shell, the pilot must fly the plane at an altitude (H) higher than the maximum height achieved by the shell for any angle of launch.
H
max
=u
2
sin
2
(90−θ)/2g=600
2
/(2×10)=16km
