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3 years ago

7

How many possible combinations are there on a 4 digit lock using numbers 0-9, if duplicate numbers are not allowed?

1 answer:

solmaris [256]3 years ago

4 0

0,1,2,3,4,5,6,7,8,9 = 10 possible numbers
No repeats so every time you use one subtract it from the amount of numbers you have.
10x9x8x7=5,040

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In the figure below, ∠ABC ≅ ∠DEC and ∠GFE ≅ ∠DCE. Point C is the point of intersection between segment AG and segment BD, while

I am Lyosha [343]

Answer:

See Below.

Step-by-step explanation:

We are given that:

$\angle ABC \cong \angle DEC\text{ and } \angle GFE \cong \angle DCE$

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3 years ago

Janet prepared 15 kilograms of dough after working 3 hours. How much dough did Janet prepare if she worked for 4 hours?

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Step-by-step explanation:

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What equation can be used to find 150 percent of 500

kolbaska11 [484]

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Find the extreme values of the function f(x, y) = 4x2 + 6y2 on the circle x2 + y2 = 1.

julia-pushkina [17]

Answer with Step-by-step explanation:

We are given that

$f(x,y)=4x^2+6y^2$

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$\nabla f(x,y)$

$\nabla g(x,y)=$

Using Lagrange multipliers

$\nabla f(x,y)=\lambda \nabla g(x,y)$

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If x=0 then substitute the value in g(x,y)

Then, we get $y=\pm 1$

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If $\lambda=4$ and substitute in the equation

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When y=0 substitute in g(x,y) then we get

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Hence, function has possible extreme values at points (0,1),(0,-1), (1,0) and (-1,0).

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Answer:

Step-by-step explanation:

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