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galben [10]
3 years ago
10

Khalid and Jesse took different overnight trains

Mathematics
1 answer:
qwelly [4]3 years ago
3 0
You didnt give enough information but 40
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The first three terms of an arithmetic sequence are as follows.
Katen [24]

Answer:

16,20

Step-by-step explanation:

As shown, you add four by each.

4+4=8

8+4=12

So, 12+4=16

16+4=20

3 0
2 years ago
Read 2 more answers
A cup has 438 grams of sand a bucket has 2120 grams of sand how many more grams of sand are in a bucket then a cup
dezoksy [38]

Answer:

1682

Step-by-step explanation:

2120 grams of sand in bucket - 438 grams of sand in cup = 1682 :)

3 0
2 years ago
Triplets, Linda, Misti and Chris are 135 years old if you add their ages. How old is Chris?
Pani-rosa [81]

Answer:

Step-by-step explanation:

135/3 i think?

and that is 45

6 0
3 years ago
Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant with three faces in the coordinat
dimaraw [331]

I assume the given plane has equation

<em>x</em> + 3<em>y</em> + 4<em>z</em> = <em>d</em>

for some constant <em>d</em> ≠ 0.

You want to maximize the function <em>V(x, y, z)</em> = <em>xyz</em> subject to the above constraint. The Lagrangian would be

<em>L(x, y, z, λ)</em> = <em>xyz</em> - <em>λ</em> (<em>x</em> + 3<em>y</em> + 4<em>z</em> - <em>d</em>)

Find its critical points:

∂<em>L</em>/∂<em>x</em> = <em>yz</em> - <em>λ</em> = 0

∂<em>L</em>/∂<em>y</em> = <em>xz</em> - 3<em>λ</em> = 0

∂<em>L</em>/∂<em>z</em> = <em>xy</em> - 4<em>λ</em> = 0

∂<em>L</em>/∂<em>λ</em> = <em>x</em> + 3<em>y</em> + 4<em>z</em> - <em>d</em> = 0

The first three equations tell you that <em>λ</em> = <em>yz</em> = <em>xz</em>/3 = <em>xy</em>/4. Then, for instance,

<em>yz</em> = <em>xz</em>/3   →   3<em>yz</em> - <em>xz</em> = <em>z</em> (3<em>y</em> - <em>x</em>) = 0   →   <em>z</em> = 0   <u>or</u>   3<em>y</em> - <em>x</em> = 0

If <em>z</em> = 0, we get zero volume which is not useful. So 3<em>y</em> = <em>x</em>. Similarly, you would find <em>x</em> = 4<em>z</em> and 3<em>y</em> = 4<em>z</em>, so a critical point occurs when <em>x</em> = 3<em>y</em> = 4<em>z</em>.

In the fourth equation, we get upon substituting

<em>x</em> + 3<em>y</em> + 4<em>z</em> = 3<em>x</em> = <em>d</em>   →   <em>x</em> = <em>d</em>/3, <em>y</em> = <em>d</em>/9, <em>z</em> = <em>d</em>/12

Then the largest volume of this box would be

<em>V(d</em>/3, <em>d</em>/9, <em>d</em>/12<em>)</em> = <em>d</em> ³ / 324

6 0
3 years ago
Show all work to solve 3x^2 − x − 2 = 0.
Aleks [24]

Answer:

x=-2/3, x=1

Step-by-step explanation:

Quadratic equations, Eh?

So let's Solve!

Quadratic Formula!\\x=\frac{1+-\sqrt{1+24} }{6} \\x=\frac{1+-5}{6\\}\\x=-\frac{2}{3}, x=1

Sorry if you don't know quad. formula!

Anyways, Hope this Helps!

See Ya!

P.S. Stay Safe!

8 0
3 years ago
Read 2 more answers
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