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Komok [63]
3 years ago
6

I NEED ANSWER ASAP!! PLS HELP

Mathematics
1 answer:
Bond [772]3 years ago
3 0

Answer:

1/4*4*3=12

12 boxes

Step-by-step explanation:

........

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Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 144 in. Find
mr Goodwill [35]

Answer:

The volume in such a package is 27648 in³

Step-by-step explanation:

Consider the provided information.

Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 144 in.

Let the dimension are x by x by y.

Where x is the variable for the square base package and y is the variable for length.

Thus l=x, b=x and h=y

Then the volume of the box is: V(x)=x^2y (∵V=lbh)

The maximum combined length and girth is 144.

Therefore, 4x+y=144

y=144-4x

Substitute the value of y in volume of the box.

V(x)=x^2(144-4x)

V(x)=144x^2-4x^3

V'(x)=288x-12x^2

Substitute V'(x)=0.

0=288x-12x^2

12x(24-x)=0

x=0\ or\ x=24

Now apply second derivative test.

V''(x)=288-24x

V''(0)=288-24(0)>0 (Min)

V''(24)=288-24(24) (Max)

Hence, the maximum volume is at x=24

If x=24 then y=144-4(24)=48

Substituting value of x = 24 and y = 48 V(x)=x^2y gives 27648.

Hence, the volume in such a package is 27648 in³

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Dan wants to collect data about the eating habits of his friends.
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Is the LCM ( least common multiple) of two numbers ( always,sometimes,never) the product of the two numbers?
Scorpion4ik [409]
In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b. SOOO, no there can be a lower number then both multiplied by each other.
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Explain how to find coordinates for Q
Vesna [10]

Answer:

Q = (4, - 1)

Step-by-step explanation:

DF is the diameter of the circle with center Q.

So, Q is the midpoint of DF.

By mid point formula.

Q =  \bigg( \frac{1 + 7}{2},  \:  \:  \frac{3 - 5}{2} \bigg) \\  \\ Q =  \bigg( \frac{8}{2},  \:  \:  \frac{ - 2}{2} \bigg) \\  \\ Q = (4, \:  \:  - 1)

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