3 years ago

C) One half of a number plus two thirds is six. What is the number?

Mathematics

1 answer:

Rashid [163]3 years ago

8 0

The answer is 10 2/3 because if do

6 - 2/3 = 5 1/3 + 5 1/3 = 10 2/3.

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A change purse contains a total of 35 nickels and dimes. The total value of the coins is $2.25

Montano1993 [528]

Answer: 25 nickels

10 dimes

Step-by-step explanation:

6 0

2 years ago

Let r(t)=⟨t2,1−t,4t⟩. calculate the derivative of r(t)⋅a(t) at t=5, assuming that a(5)=⟨−4,4,−5⟩ and a′(5)=⟨−5,9,3⟩

erastovalidia [21]

$\mathbf r(t)=\langle t^2,1-t,4t\rangle$
$\implies\mathbf r'(t)=\langle 2t,-1,4\rangle$

$\dfrac{\mathrm d(\mathbf r(t)\cdot\mathbf a(t))}{\mathrm dt}\bigg|_{t=5}=\mathbf r'(5)\cdot\mathbf a(5)+\mathbf r(5)\cdot\mathbf a'(5)$
$=\langle10,-1,4\rangle\cdot\langle-4,4,-5\rangle+\langle25,-4,20\rangle\cdot\langle-5,9,3\rangle$
$=(-40-4-20)+(-125-36+60)$
$=-165$