There is 4.88% decrease in Olivia's score.
Step-by-step explanation:
Given,
Score on first math test = Old value = 82 points
Score on second math test = New value = 78 points
Change = New value - Old value
Change = 78 - 82 = -4
The negative sign indicates the decrease.
Decrease percent = 
Decrease percent = 
Decrease percent = 4.88%
There is 4.88% decrease in Olivia's score.
Keywords: percentage, difference
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% change = (new value - old value)/(old value) * 100%
.. = (9.67 -9.74)/9.74 * 100%
.. = -0.07/9.74 * 100%
.. = -0.7%
The decrease is 0.7%.
Answer:
The interest when rate is 5.2% is $48.88
Step-by-step explanation:
if interest (I) varies directly as interest rate (R)
Then
I ∝ R
I=cR
c= constant
if interest is $47 when interest rate is 5%
47 =.05c
c = 940
if interest rate is 5.2% then
I = 940 x .052
=48.88
=$48.88
Answer: Lattice parameter, a = (4R)/(√3)
Step-by-step explanation:
The typical arrangement of atoms in a unit cell of BCC is shown in the first attachment.
The second attachment shows how to obtain the value of the diagonal of the base of the unit cell.
If the diagonal of the base of the unit cell = x
(a^2) + (a^2) = (x^2)
x = a(√2)
Then, diagonal across the unit cell (a cube) makes a right angled triangle with one side of the unit cell & the diagonal on the base of the unit cell.
Let the diagonal across the cube be y
Pythagoras theorem,
(a^2) + ((a(√2))^2) = (y^2)
(a^2) + 2(a^2) = (y^2) = 3(a^2)
y = a√3
But the diagonal through the cube = 4R (evident from the image in the first attachment)
y = 4R = a√3
a = (4R)/(√3)
QED!!!
Answer:
the bikers speed is 11mph
Step-by-step explanation: