Answer:
a) 11.75 * 10^6
b) 1.35 * 10^-7
Step-by-step explanation:
Here, we want to find the sum and the difference
a) That would be;
(3.48 + 8.27) * 10^6
= 11.75 * 10^6
b) That would be;
(9.58-8.23) * 10^-7 = 1.35 * 10^-7
Answer:
x = 37 mm
Step-by-step explanation:
using the Pythagorean theorem:
m² = 13² - 5² = 169 - 25 = 144
m = √144 = 12 mm
x² = 12² + 35² = 144 + 1225 = 1369
x = √1369 = 37 mm
Answer:
37 buses and 1 van.
Step-by-step explanation:
The cost to rent a van is $1200 for 50 students and 3 chaperones, while a bus for 10 students and a chaperone is $100 .
The cost of renting buses for 50 students is $500
What we do is rent 37 buses and 1 van
37 buses will take in 370 students with empty 2 spaces in 2 buses for chaperones since the chaperones are 36.
Then rent 1 van to take in 50 students and 1 chaperone.
The total cost here will be
$3700 + $1200 = $ 4900
This will help to safe cost.
Answer:
1.) 15,708cm^2/s
2) 47,124cm^2/s
3.) 109,956cm^2/s
Step-by-step explanation:
Given the following:
50cm/s is the radius of the ripple per second , that is, radius(r) of ripple after t seconds = speed * time(t)
Speed = 50cm/s
r = 50t
.area of a circle(A) = πr^2
Rate of change of area with radius :
dA/dt = π2r . dr/dt
Speed of ripple created = 50cm/s; this is the rate at which the radius changes with time (dr/dt)
dr/dt = 50cm/s
Rate at which area is increasing with time:
dA/dt = π2r . dr/dt
dA/dt = π2(50t).50
dA/dt = 5000πt
After 1 second:
dA/dt = 5000π(1)
= 15,707.963cm^2/s
After 3 second:
dA/dt = 5000π(3)
= 47,123.889cm^2/s
After 7 second:
dA/dt = 5000π(7)
= 109,955.74cm^2/s
