Answer:
y = 90
Step-by-step explanation:
If y varies jointly as x and z, then;
y = kxz
If y = 18 when x = 2 and z = 3
18 = k(2)(3)
18 = 6k
k = 18/6
k = 3
To get y when x = 5 and z = 6
y = kxz
y = 3(5)(6)
y = 15*6
y = 90
Hence the value of y is 90
Answer:
a) 8π
b) 8/3 π
c) 32/5 π
d) 176/15 π
Step-by-step explanation:
Given lines : y = √x, y = 2, x = 0.
<u>a) The x-axis </u>
using the shell method
y = √x = , x = y^2
h = y^2 , p = y
vol = ( 2π ) 
= 
∴ Vol = 8π
<u>b) The line y = 2 ( using the shell method )</u>
p = 2 - y
h = y^2
vol = ( 2π )
= 
= ( 2π ) * [ 2/3 * y^3 - y^4 / 4 ] ²₀
∴ Vol = 8/3 π
<u>c) The y-axis ( using shell method )</u>
h = 2-y = h = 2 - √x
p = x
vol = 
= 
= ( 2π ) [x^2 - 2/5*x^5/2 ]⁴₀
vol = ( 2π ) ( 16/5 ) = 32/5 π
<u>d) The line x = -1 (using shell method )</u>
p = 1 + x
h = 2√x
vol =
Hence vol = 176/15 π
attached below is the graphical representation of P and h
Answer:
(a) 20256.15625
(b) 17642.78546
Step-by-step explanation:
(a) There's a formula for this problem y = A(d)^t where, A is the initial value you are given, d is the growth or decay rate and t is the time period. So, in this case, as the car cost is decreasing it is a decay problem and we can write the formula as such; y = A(1-R)^t
So, in 5 years the car will be worth, 25500(1-4.5%)^5 or 20256.15625 dollars
(b) And after 8 years the car will be worth 25500(1-4.5%)^8 or 17642.78546 dollars.
Answer:
Part 1: The option (A) is correct. The prediction of the event is 32 spins.
Part 2: Option (B) is correct. The probability of the event is 139 passwords.
Part 3: The P(yellow or blue) is 2/6.
Part 4: Option (B) is correct.
Part 5: Both options (A) and (C) are correct.
Step-by-step explanation:
please brainless
Answer:
396 : 2 * 2 * 3 * 3 * 11
Step-by-step explanation:
using long division of prime factors, you will end up with the following:
396 : 2 * 2 * 3 * 3 * 11
