6 - 0.617. WHAT IS SIX MINUS 0.617

Mathematics

1 answer:

Reil [10]2 years ago

6 0

Answer:

5.833

Step-by-step explanation:

SIX MINUS 0.617 IS 5.833

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Suppose that we wish to expand (x + y + z)17. what is the coefficient of x 2 y5z10

Delvig [45]

We use the trinomial theorem to answer this question. Suppose we have a trinomial (a + b + c)ⁿ, we can determine any term to be:

[n!/(n-m)!(m-k)!k!] a^(n-m) b^(m-k) c^k

In this problem, the variables are: x=a, y=b and z=c. We already know the exponents of the variables. So, we equate this with the form of the trinomial theorem.

n - m = 2
m - k = 5
k = 10

Since we know k, we can determine m. Once we know m, we can determine n. Then, we can finally solve for the coefficient.

m - 10 = 5
m = 15

n - 15 = 2
n = 17

Therefore, the coefficient is equal to:

Coefficient = n!/(n-m)!(m-k)!k! = 17!/(17-5)!(15-10)!10! = 408,408

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2 years ago

Sheila has $47 to buy graphing pads for her math class. Each pad costs $8,

bija089 [108]

Answer:

5 tablets can be bought

Step-by-step explanation:

47/8= 5

8 0

2 years ago

PLEASE HELP! Robin bought a four-scoop ice cream cone having a scoop each of vanilla, chocolate, strawberry, and cherry. In how

soldi70 [24.7K]

There are 3 choices for the bottom scoop. Then there are only 3 choices for the scoop above that (since one flavor has already been used), then 2 choices for the next scoop, and 1 choice for the final scoop. This gives a total of 18 possible cones.

Hope this helps.

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2 years ago

In a game of cornhole, Sasha tossed a bean bag and it landed at the edge of the hole. The hole can be represented by the equatio

Nitella [24]

In the game of cornhole, when Sasha tossed a bean bag to the edge of the hole, in which the equations of the hole and bean bag's path are x² + y² = 5 and y = 0.5x² + 1.5x - 4, respectively, she could have tossed her bean bag to the points (1, -2) or (2, 1).

To find the points in which she could have tossed her bean bag, we need to intersect the two equations of the function as follows.

The equation for the hole

$x^{2} + y^{2} = 5$ (1)