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dsp73
3 years ago
9

What is 1 third added to 5 sixths?

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
7 0
The answer is 61/100
Kazeer [188]3 years ago
6 0
The answer would be 7/6 which is also 1 1/6
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Find the points on the cone z2 = x2 + y2 that are closest to the point (6, 2, 0).
aliya0001 [1]

Answer:

The closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

Step-by-step explanation:

Let B(x, y, z) denote a point on the cone.

Therefore, the distance between the points (6, 2, 0) and B(x, y, z) is;

d = √[(x - 6)² + (y - 2)² + (z - 0)²]

d = √[(x - 6)² + (y - 2)² + z²]

Since we are given that z² = x² + y², we now have;

d = √[(x - 6)² + (y - 2)² + x² + y²]

Taking the square of both sides gives;

d² = [(x - 6)² + (y - 2)² + x² + y²]

x² is an increasing function. Thus, minimizing d is also the same as to minimize f (x, y) = d²

Thus, f' = 0. So;

df/dx = 2(x - 6) + 2x = 0

2x - 12 + 2x = 0

4x = 12

x = 12/4

x = 3

Similarly,

df/dy = 2(y - 2) + 2y = 0

2y - 4 + 2y = 0

4y - 4 = 0

4y = 4

y = 4/4

y = 1

Now,from earlier;

z² = x² + y²

Thus;

z = ±√(3² + 1²)

z = ±√10

Thus, the closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

7 0
3 years ago
the volleyball team sold 16 items on first day of a bake sale, 28 items second day, and 12 items on the last day there were 4 it
Gelneren [198K]

Add all the item together:

16 + 28 + 12 + 4

=60 total items

5 0
3 years ago
Read 2 more answers
Which function is the inverse of f(x)=9x-3
DIA [1.3K]
F^-1(x)= x/9 + 1/3

To find this, just interchange the variables and solve for y.

y=9x-3
x=9y-3
x+3=9y
divide by nine
3 0
3 years ago
PLEASE HELP ITS EASY BUT LIKE yh
hjlf

Answer:

40  I told u

Step-by-step explanation:

right angles are 90 degrees

4 0
3 years ago
Read 2 more answers
A worker is paid $0.05 on the first day, $0.10 on the second day, $0.20 on the third day, $0.40 on the fourth day, and so on. Ho
Novay_Z [31]
This is a geometric sequence with a common ratio of 2

an = a1 * r^(n - 1)
n = term to find = 21
a1 = first term = 0.05
r = common ratio = 2
now we sub
a21 = 0.05 * 2^(21 - 1)
a21 = 0.05 * 2^20
a21 = 0.05 * 1048576
a21 = 52428.80 <==== after working 21 days
7 0
3 years ago
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