How many ways can a set be describe
1 answer:
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Answers :a) digits are 1, 2, 3, 4 , b) difference is 0.367
Step-by-step explanation:
The floor score must be higher than 15.133 and lower than 15.500
The missing digit must be an integer.
Then all the possible scores are: 15.166 , 15.266 , 15.366 and 15.466
Then all the possible digits are 1 , 2 , 3 and 4
The difference between her vault score and her uneven bar score is
15.500 - 15.133 = 0.367
Answers :a) digits are 1, 2, 3, 4 , b) difference is 0.367
Answer:
The volume in such a package is 10,415.41 in³
Step-by-step explanation:
Consider the provided information.
A parcel delivery service will deliver a package only if the length plus the girth (distance around, taken perpendicular to the length) does not exceed 104 inches.
Let the dimension are x by x by y.
Where x is the variable for the square base package and y is the variable for length.
Thus l=x, b=x and h=y
Then the volume of the box is: (∵V=lbh)
The maximum combined length and girth is 104.
Therefore,
Substitute the value of y in volume of the box.
Substitute V'(x)=0.
Now apply second derivative test.
(Min)
(Max)
If x=52/3 then
Substitute x = 52/3 and y = 104/3 in
Hence, the volume in such a package is 10,415.41 in³
y = - x -
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 6, 1 ) and (x₂, y₂ ) = (2, - 5 )
m = =
= -
the partial equation is
y = - x + c
to find c substitute either of the 2 given points into the partial equation
using (- 6, 1 ), then
1 = + c ⇒ c = 1 -
= -
y = - x -
← equation of line