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3 years ago

EASY MATH!!! GIVING BRAINLIEST!!!

Mathematics

1 answer:

Harman [31]3 years ago

8 0

120 grams half life at 45 days would be 60 then half life of 60 in another 45 days (90 total) should be 30 grams

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choose all expressions that are equal to 28.3. A. 27 + 0.91 + 0.39 B. 0.01 + 28.02 C. 9.9 + 9.8 + 9.6 D. 0.02 + 28 + 0.28 E. 27.

amm1812

The answer is A, D, and E because when you add them up they give you 28.3

7 0

3 years ago

A scenario in which the optimal objective function contour line coincides with one of the binding constraint lines on the bounda

tangare [24]

Answer: Alternative optimal

Step-by-step explanation:

Alternative optimal solution means that

there are several optimal solutions that can be used to get identical objective function value.

Therefore, a scenario whereby the optimal objective function contour line coincides with one of the binding constraint lines on the boundary of the feasible region will lead to alternative optimal solution.

6 0

3 years ago

The length of a rectangle is 5 yd longer than its width.

romanna [79]

Answer:

w = 13yd, l = 18yd

Step-by-step explanation:

let x be width, so x+5 = length

Perimeter is sum of all 4 sides, and since opposite sides equal in rectangle,

P = 2(l+w)

= 2(x+5 +x)

= 4x + 10

Since perimeter is give as 62yd, equation is

4x + 10 = 62

4x = 52

x = 13

8 0

3 years ago

Calculate the radicand of f(x)=x^2+20x+97 and state what it tells you about the roots of the function. Then solve the function u

Furkat [3]

Answer: The roots are x=-10 +- root 3.

Step-by-step explanation:

7 0

3 years ago

A cylinder shaped can needs to be constructed to hold 300 cubic centimeters of soup. The material for the sides of the can costs

oksano4ka [1.4K]

Answer:

Step-by-step explanation:

Cost = Area Cylinder body* cost * 0.03 cm^3 + Area of 2 lids*cost 0.06 of cm^3

Volume = 300 cm^3

Volume = Base *h

Volume = pi * r^2 * h = 300

h = 300/(pi * r^2 )

Area material = 2*pi * r * h * 0.03 + 2 pi r^2 * 0.06

Area material = 0.06*pi * r * 300/(pi* r^2) + 0.12 * pi * r^2

dmaterial/dr = (-1)18 r^-2 + 0.12 pi * 2*r

dmaterial/dr = -18 r^-2 + 0.24 pi * r

The minimum occurs when the right side = 0

18/r^2 = 0.24 *pi r

18 = 0.24*pi * r^3

18/(0.24 * pi) = r^3

23.89 = r^3

cube root (23.89) = cuberoot(r^3)

r = 2.88 cm

h = 300/pi * r^2

h = 300/(3.14 * 2.88^2)

h = 11.52

This isn't much of a check but we can try it.

Volume = 3.14 * 2.88^2 * 11.52

Volume = 302.01 which considering all the rounding is pretty close.

Here's a graph that confirms my answer.

3 0

3 years ago