Answer:
Her pay for the week= $ 611.325
Step-by-step explanation:
Sallie is paid $ 11.40 per hour for regular hours.
The total regular hours worked during the week are
Monday + Tuesday + Wednesday + Thursday+ friday = 8 + 8+ 8+6+8= 38 hours
She works overtime during the week
Monday + Tuesday + Wednesday = 2+ 1/4+ 1 1/2= 2+ 1/4 + 3/2
= 8 +1+ 6/4=15/4 = 3 3/4 hours
Over the weekend she works five hours .
So the total pay would be
$ 11.40( 38 ) + $ 11.40( 1.5) ( 15/4) + $ 11.40 ( 2) ( 5)
= 433.2 + 64.125 + 114.0
= $ 611.325
Answer:
624 600
Step-by-step explanation:
624 <u>6</u>12
you have to concentrate at the 1 because because it's at the tens place, if the 1 is not greater than 5 you don't have to do anything. you just have to remove the two numbers before the the number 6 and you so it automatically should be 624 600.
To round a number to the nearest hundredth , look at the next place value to the right (the tens this time). Same deal: If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the hundredths place, and then remove all the digits to the right.
F'(x)=-2x{e^(-x²)}
Equating f'(x)=0,
i.e,
-2x{e^(-x²)}=0....eqn(i)
For maximum slope:
Differentiating (i) wrt x,we get,
4x² {e^(-x²)}-2 {e^(-x²)}=0
{e^(-x²)} [4x²-2]=0
4x²-2=0
x=1/√2
If f(x)=y then f'(x)=dy/dx=slope
So,
Maximum slope
= f'(x)
= -2x{e^(-x²)}
=-2×(1/✓2){e^(-1/✓2)²}
= -✓2{e^(-1/2)}
=(-sqrt 2/sqrt e)
=-sqrt(2/e)➡c is correct
Answer:
Step-by-step explanation:
To find the number of kilograms of mercury we need to find how to relate density, mass and, volume. For this we shall recall the density formula:
where 
is the density, 
is the mass and, 
is the volume.
We have the density and want to compute the mass so now we want to know the volume of the pool.
The volume of a rectangular pool is given by the fomula:
.
So for our pool
.
.
Our density is in 
, so the last thing we need to do before computing the mass is to express the density in 
(this is because we want our mass in 
and, we have our volume in 
).
For the density conversion we have to remember that
so
.
With this we can finally compute mass:
.
Answer:
X is 3
Step-by-step explanation:
15-x=12
X=15-12
X=3
