All categories

3 years ago

Please and thank you , 10 points

Mathematics

1 answer:

Sonbull [250]3 years ago

3 0

I don’t know the answer but pls do not click the link the other person sent!! it is a scam

You might be interested in

A piece of cardboard is 15 inches by 30 inches. A square is to be cut from each corner and the sides folded up to make an open-t

solmaris [256]

Answer:

Maximum volume = 649.519 cubic inches

Step-by-step explanation:

A rectangular piece of cardboard of side 15 inches by 30 inches is cut in such that a square is cut from each corner. Let x be the side of this square cut. When it was folded to make the box the height of box becomes x, length becomes (30-2x) and the width becomes (15-2x).

Volume is given by

V = $V = Length\times Width\times Height\\V = (30 - 2x)(15-2x)x= 4x^3-90x^2+450x\\So,\\V(x) = 4x^3-90x^2+450x$

First, we differentiate V(x) with respect to x, to get,

$\frac{d(V(x))}{dx} = \frac{d(4x^3-12x^2+9x)}{dx} = 12x^2 - 180x +450$

Equating the first derivative to zero, we get,

$\frac{d(V(x))}{dx} = 0\\\\12x^2 - 180x +450 = 0$

Solving, with the help of quadratic formula, we get,

$x = \displaystyle\frac{5(3+\sqrt{3})}{2}, \frac{5(3-\sqrt{3})}{2}$ ,

Again differentiation V(x), with respect to x, we get,

$\frac{d^2(V(x))}{dx^2} = 24x - 180$

At x =

$\displaystyle\frac{5(3-\sqrt{3})}{2}$ ,

$\frac{d^2(V(x))}{dx^2} < 0$

Thus, by double derivative test, the maxima occurs at

x = $\displaystyle\frac{5(3-\sqrt{3})}{2}$ for V(x).

Thus, largest volume the box can have occurs when $x = \displaystyle\frac{5(3-\sqrt{3})}{2}}$ .

Maximum volume =

$V(\displaystyle\frac{5(3-\sqrt{3})}{2}) = (30 - 2x)(15-2x)x = 649.5191\text{ cubic inches}$

8 0

3 years ago

Which expression matches the verbal description below?

Ronch [10]

Answer:

Quotient = division of one number by another

$\implies \textsf{quotient of 30 and 6} = \sf \dfrac{30}{6}$

$\implies \textsf{3 subtracted from } \sf \dfrac{30}{6}=\dfrac{30}{6}-3$

The quotient of 30 and 6 can also be written as the ratio 30 : 6

Therefore, the solution is (30:6) - 3

8 0

2 years ago

Read 2 more answers

Solve 10(y+7)=12y for y

12345 [234]

Answer:

y=35

Step-by-step explanation:

10(y+7)=12y

10y+70=12y

70=12y-10y

70=2y

70/2=y

35=y

therefore, y=35

7 0

3 years ago

Read 2 more answers

A total of 396 tickets were sold for the school play. They wee either adult tickets or student tickets. The number of student ti

Flura [38]

We know that this problem is in the ratio of 1:3 1 being adult tickets and 3 being student tickets. If we divide 396 by 4 to get 1 part, then we have the answer.

396/4=99

Answer: 99 adult tickets

7 0

3 years ago

You need to purchase supplies for an employee appreciation picnic. Your boss gives you the shopping list below and asks that you

Natalka [10]

To get the units needed, divide the given number of items needed shown in the above portion of table, with the package size given in the below portion. Then multiply with given prices. Round off the numbers to whole numbers.

Now, money needs to be spent in Quality Groceries-

$(5*15.5)+(2*6.23)+(7*3.79)+(2*2.75)+(2*4.33)+(5*7.55)$

=$ 168.40

Now, money needs to be spent in Fresh Market-

$(7*12.4)+(3*4.99)+(7*3.55)+(3*2.55)+(2*5.55)+(5*6.99)$

=$ 180.32

So, the answer is option B.

3 0

3 years ago

Read 2 more answers

Please and thank you , 10 points​

Please and thank you , 10 points