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2 years ago

I need help thank you.

Mathematics

1 answer:

Darina [25.2K]2 years ago

6 0

Answer:

The answers and steps are in the picture

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You are planning to make an open rectangular box from aa 4141-in.-by-8181-in. piece of cardboard by cutting congruent squares

marissa [1.9K]

Answer:

13058.83 cubic inches

Step-by-step explanation:

Given that a rectangular box is having dimensions as 41x81 inches.

Let x be the side of square cut from all the four corners.

The open box made would have height as x and length 41-2x with width 81-2x

Volume =

$V(x) = x(41-2x)(81-2x)\\V(x) =x(3321-244x+4x^2)\\V(x) = 3321x-244x^2+4x^3\\V'(x) = 3321-488x+12x^2\\V"(x) = -488+24x\\$

Equate first derivative to 0

We get applicable root as x = 8.642

Max volume = 13058.83 cubic inches

3 0

3 years ago

Data management probability

Nitella [24]

Answer: Probability theory is a branch of mathematics focusing on the analysis of random phenomena. It is an important skill for data scientists using data affected by chance. With randomness existing everywhere, the use of probability theory allows for the analysis of chance events.

Step-by-step explanation:

3 0

1 year ago

Does anyone know this one?

erastova [34]

The answer is C, you double 8 million and then double 16 million

4 0

2 years ago

Use the function f(x)=-1|x-4|+3 and an initial value of 1.5. Find the last two iterations and make sure that you show all your w

dezoksy [38]

9514 1404 393

Answer:

f²(1.5) = -0.5
f³(1.5) = -1.5

Step-by-step explanation:

$f^2(1.5)=f(f(1.5)) = -1|0.5 -4|+3\\\\=-1|-3.5|+3\\\\=-1(3.5)+3\\\\=\boxed{-0.5}\\\\f^3(1.5)=f(f^2(1.5))=-1|-0.5-4|+3\\\\=-1|-4.5|+3\\\\=-1(4.5)+3\\\\=\boxed{-1.5}$

6 0

2 years ago

Find the length of Jl.<br> JI=2x - 6<br> KJ=2x - 15 <br> KI=15

postnew [5]

Answer:

x=12

Step-by-step explanation:

2x-15 + 2x-6 = 15

4x = 36

x = 9

2 x 9 - 6 = 12

5 0

2 years ago