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Mariulka [41]
4 years ago
14

if there was 155,528 students 2years ago and 30,526 less on the new record how do i find the new subtraction equation on the new

record
Mathematics
1 answer:
kotykmax [81]4 years ago
3 0
You subtract 30,526 from 155,528 which equals 125,032
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If I have 200,000,000,000 pounds how many tons is that
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A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the
Stells [14]

Answer:

\frac{5}{3} in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

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Substitute the values then we get

Volume of box=V(x)=(8-2x)(15-2x)x=(15x-2x^2)(8-2x)

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V(x)=4x^3-46x^2+120x

Differentiate w.r.t x

V'(x)=12x^2-92x+120

V'(x)=0

12x^2-92x+120=0

3x^2-23x+30=0

3x^2-18x-5x+30=0

3x(x-6)-5(x-6)=0

(x-6)(3x-5)=0

x-6=0\implies x=6

3x-5=0\implies x=\frac{5}{3}

Again differentiate w.r.t x

V''(x)=24x-92

Substitute x=6

V''(6)=24(6)-92=52>0

Substitute x=5/3

V''(5/3)=24(5/3)-92=-52

Hence, the volume is maximum at x=\frac{5}{3}

Therefore, the side of the square ,x=\frac{5}{3} in cutout that gives the box the largest possible volume.

5 0
3 years ago
Which of the following functions have only one point that is not in the domain? Select all that apply. (There are 2 answers)
densk [106]

Answer:

  B.  f(x) = 3/(x^2 +2x +1)

  E.  f(x) = 5/(3+x)

Step-by-step explanation:

The above functions have denominators that are zero at one point. For B, that point is x=-1; for E, that point is x=-3. When the denominator is zero, the function is undefined, so the corresponding x-value must be excluded from the domain.

__

As written, choice D also qualifies. This is because the function written in the answer list here is ...

f(x)=\dfrac{1}{x^2}+5x+4

It will be undefined for x=0.

_____

<em>Comment on writing rational functions</em>

When the division symbol (/ or ÷) is used with a denominator that is a product or sum, that product or sum must be enclosed in parentheses. When the expression is typeset, the division bar acts as a grouping symbol. When the expression is written in text, a grouping symbol, such as parentheses, must be added.

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3 years ago
Verda used a sensor to measure the speed of a moving car at different times. At
Kaylis [27]

Answer:

the answer is c because if you divided 4848484 by 37 =234

Step-by-step explanation:

393-=3\3

3 0
3 years ago
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