Answer:
1. 768 square yards
2. 384 square yards
Step-by-step explanation:
1. 16 x 16 = 256
256 x 3 = 768 square yards
2. 16 x 16 = 256
256/2 = 128
128 x 3 = 384 square yards
3 x 6+16 4-6
Answer:
the partial derivatives are
fx =5/9
fy =(-13/18)
Step-by-step explanation:
defining the vector v (from (2,1) to (1,3))
v=(1,3)-(2,1) = (-1,2)
the unit vector will be
v'=(-1,2)/√5 = (-1/√5,2/√5)
the directional derivative is
fv(x,y) = fx*v'x + fy*v'y = fx*(-1/√5)+fy(2/√5) =-2/√5
then defining the vector u ( from (2, 1) toward the point (5, 5) )
u=(5,5)-(2,1) = (3,4)
the unit vector will be
u'=(3,4)/5 = (3/5,4/5)
the directional derivative is
fu(x,y) = fx*ux + fy*uy = fx*(3/5)+fy(4/5)=1
thus we have the set of linear equations
-fx/√5*+2*fy/√5 =(-2/√5) → -fx + 2*fy = -2
(3/5) fx+(4/5)*fy=1 → 3* fx+4*fy = 5
subtracting the first equation twice to the second
3*fx+4*fy -(- 2fx)*-4*fy = 5 -2*(-2)
5*fx=9
fx=5/9
thus from the first equation
-fx + 2*fy = -2
fy= fx/2 -1 = 5/18 -1 = -13/18
thus we have
fx =5/9
fy =(-13/18)
A)3 hours
B)3.5 hours
C)4 hours
D)4.5 hours
PLS ANSWER
Answer:
D)4.5 hours
hope this helps
plz mark brainleist
The value of the given expression for the given value is 18.
Given that, x=2 and y=3.
We need to find the value of xy².
To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.
Now, xy²=2×3²
=18
Therefore, the value of the given expression for the given value is 18.
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Answer:
if it is
xy² then 2*3²= 18
if (xY)²=6²=36
Step-by-step explanation:
Answer:
SSS
Step-by-step explanation
youre given only side conguencys, so you cant prove the angles are conguent
The probability that the sample mean would differ from the population mean by more than 1.8 millimeters is approximately 0.0668.
A standard deviation (σ) is a measure of the distribution of the data in reference to the mean.
The standard deviation of the population is millimeters. The standard error of the sample mean is then
millimeters.
The probability that the sample mean would differ from the population mean by more than 1.8 millimeters is the probability that it falls outside of the interval . We can use the standard normal distribution to approximate this probability.
First, we need to convert the difference between the sample mean and the population means to standard units.
The difference of 1.8 millimeters is :
standard units.
Then, we can use the standard normal distribution to find the probability that the sample mean falls outside of this interval.
This probability is equal to ,
where is the standard normal cumulative distribution function.
Therefore, the required probability is approximately 0.0668.
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