Answer:
52 and 38
Step-by-step explanation:
If x = 13 then 4x = 4 * 13 so 52.
Same for the next one. 2x = 2 * 13 so 26. 26+12 is 38.
Done...
Answer:
3
Step-by-step explanation:
To simplify this expression, we will simply work with the numerator, then the denominator, and then the fraction as a whole, following PEMDAS.
Numerator: 12 - 6 + 5 * (-3)^2
= 12 - 6 + 5 * (9)
= 12 - 6 + 45
= 6 + 45
= 51
Denominator: 17
So our simplified fraction is as follows:
51/17
Which can be reduced to the whole number, 3.
Cheers.
Answer:
18 cm^2
Step-by-step explanation:
The legs of a right triangle are the base and height of the triangle.
Since C is a right angle, AB is the hypotenuse.
AC and BC are the legs and the base and height.
sin 75 = BC/12
BC = 12 sin 75
cos 75 = AC/12
AC = 12 cos 75
area = bh/2 = (12 sin 75)(12 cos 75)/2
area = 18 cm^2
Let x be the height of the box and y be the length of one side of the base then:-
V = xy^2 = 108
x = 108/y^2
Surface area = y^2 + 4xy
S = y^2 + 4y* 108/y^2
S = y^2 + 432/y
Finding the derivative:-
dS/dy = 2y - 432/y^2 = 0
2y^3 = 432
y^3 = 216
y = 6
Check if this gives a minimum value:-
second derivative = 2 + 864/y^3 which is positive so minimum.
V = xy^2 = 108
36y = 108
y = 3
Answer :- dimensions of the box is 3*6*6 metres
The value of Δy using the function y= 5x^3 as x goes from -2 to 1 is; Δy = 45
The question requests that Δy be computed according to the function, y = 5x³ as x goes -2 to 1.
where:
and
Therefore,
Δy = 45.
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