Mathematics, 02.09.2019 05:30 ewilly01

Mr. smith need to move $6 million out of the country. the dimensions of a us bill is 2.61 inches by 6.14 inches by
0.0043 inches.
how many cubic inches are in a cubic foot?
1728 cubic inches per cubic foot
how many cubic feet will this be in $5 bills? round answer to the nearest 10th.
i was able to figure out the first answer but i don't know where to begin to start the second problem

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Answer from: mooreadrian412

47.85 ft³

Step-by-step explanation:

$6 million will be $6/$5 million = 1.2 million bills of the $5 denomination.

The volume of that is ...

(1.2×10⁶ bills)×((2.61 in)(6.14 in)(0.0043 in)/bill)/(1728 in³/ft³)

= 1.2×2.61×6.14×4.3/1.728 ft³ ≈ 47.85 ft³

___

The units analysis is ...

$(\text{number of bills})\cdot\dfrac{\text{volume}}{\text{bill}}}=\text{volume}$

where the volume per bill is the product of the given dimensions, and the conversion to cubic feet is ...

in³ × (ft³/in³) = ft³

where the number of cubic feet per cubic inch is 1/1728.

Answer from: Quest

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

= 2×(-2)+(-8)×(6)+(-8)×(-5)

= -4-48+40

= -12

hence, v.w= -12

Answer from: Quest

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

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Mr. smith need to move $6 million out of the country. the dimensions of a us bill is 2.61 inches by...

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