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3 years ago

A collection of dimes and nickels is worth 8.40. There are 106 coins in all. How many of each coin is there?

Mathematics

1 answer:

nasty-shy [4]3 years ago

3 0

Answer:

32 quarter, 1 quarter,1 dime, and 1 nickel

Step-by-step explanation:

first you know that 4 quarter = 1 dollar so now am going to multiply 4 times 8 equal 32 so now you have 1 quarter and 1 dime and 1 nickel

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Please help me with the below question.

o-na [289]

Given that

$\vec r(t) = \left\langle 4t e^{-t}, 8 \arctan(t), 8 e^t \right\rangle$

we first differentiate with respect to t to get the tangent vector, $\vec T(t)$ :

$\vec T(t) = \dfrac{d\vec r}{dt} = \left\langle (4-4t) e^{-t}, \dfrac8{1+t^2}, 8e^t \right\rangle$

At t = 0, the tangent vector is

$\vec T(0) = \left\langle 4, 8, 8 \right\rangle$

To get the unit tangent vector, multiply this by 1/(norm of tangent vector) :

$\|\vec T(0)\| = \sqrt{4^2 + 8^2 + 8^2} = \sqrt{144} = 12$

Then the unit tangent vector is

$\dfrac{\vec T(0)}{\|\vec T(0)\|} = \left\langle \dfrac4{12}, \dfrac8{12}, \dfrac8{12}\right\rangle = \boxed{\left\langle\dfrac13, \dfrac23, \dfrac23\right\rangle}$

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Aleks [24]

Answer:

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3 years ago

You are paid 3.50 for every case you deliver to a store. If you deliver fifty seven cases, what will you be paid for that delive

Stels [109]

Answer:

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