Answer:
correct option is C) 2.8
Step-by-step explanation:
given data
string vibrates form = 8 loops
in water loop formed = 10 loops
solution
we consider mass of stone = m
string length = l
frequency of tuning = f
volume = v
density of stone = 
case (1)
when 8 loop form with 2 adjacent node is 
so here
..............1
and we know velocity is express as
velocity = frequency × wavelength .....................2
= f × 
here tension = mg
so
= f × ..........................3
and
case (2)
when 8 loop form with 2 adjacent node is
..............4
when block is immersed
equilibrium eq will be
Tenion + force of buoyancy = mg
T + v × × g = mg
and
T = v × - v × × g
from equation 2
f × 
= f × 
.......................5
now we divide eq 5 by the eq 3
solve irt we get
so
relative density 
relative density = 2.78 ≈ 2.8
so correct option is C) 2.8
Vanessa: a dime = 10 cents = 0.10
A penny = 1 cent = 0.01
6 x 0.10 = 0.60
2 x 0.01 = 0.02
Total = 0.60 + 0.02 = 0.62
Joachim : a dollar = 1.00
3 x 0.10 = 0.30
5 x 0.01 = 0.05
Total = 1.00 + 0.30 + 0.05 = 1.35
Jimmy: total = 5.00 + 0.07 = 5.07
Total of all 3: 0.62 + 1.35 + 5.07 = $7.04
This is less than $8 so they don’t have enough.
They need: 8.00 - 7.04 = $0.96 more
Answer:
$25.80
Step-by-step explanation:
First find the price of the meal with sales tax. Multiply 6.75% by $72.50.
72.50 * 0.0675 = 4.89
Add this value onto 72.50.
72.50 + 4.89 = 77.39
Divide this amount by 3.
77.39 / 3 = 25.7966...
Round this to the nearest hundredth because we're dealing with money.
$25.80 is how much each person should pay.
Answer:
The parenthesis need to be kept intact while applying the DeMorgan's theorem on the original equation to find the compliment because otherwise it will introduce an error in the answer.
Step-by-step explanation:
According to DeMorgan's Theorem:
(W.X + Y.Z)'
(W.X)' . (Y.Z)'
(W'+X') . (Y' + Z')
Note that it is important to keep the parenthesis intact while applying the DeMorgan's theorem.
For the original function:
(W . X + Y . Z)'
= (1 . 1 + 1 . 0)
= (1 + 0) = 1
For the compliment:
(W' + X') . (Y' + Z')
=(1' + 1') . (1' + 0')
=(0 + 0) . (0 + 1)
=0 . 1 = 0
Both functions are not 1 for the same input if we solve while keeping the parenthesis intact because that allows us to solve the operation inside the parenthesis first and then move on to the operator outside it.
Without the parenthesis the compliment equation looks like this:
W' + X' . Y' + Z'
1' + 1' . 1' + 0'
0 + 0 . 0 + 1
Here, the 'AND' operation will be considered first before the 'OR', resulting in 1 as the final answer.
Therefore, it is important to keep the parenthesis intact while applying DeMorgan's Theorem on the original equation or else it would produce an erroneous result.
You can use a matrix equation to discover that the motel clerk has 45 $1 bills and 12 $10 bills.
