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2 years ago

14

A blueprint of a house shows a wall that is 5 inches long. If the blueprint is drawn to a scale of 1:60, what is the actual leng

th of the wall in the house?

1 answer:

Juliette [100K]2 years ago

6 0

Answer:

The wall is 300 inches or 25 feet

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Which of the following shows the polynomial below written in descending order ?

Igoryamba

Answer:

A. 4x¹¹ + x⁷ + 3x³ - 5x + 9

Step-by-step explanation:

order the exponents from largest to smallest. variables always come first; therefore, -5x before 9

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3 years ago

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Question 14 of 25

olga2289 [7]

Answer:46%

Step-by-step explanation:

Just took test

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3 years ago

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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 =

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

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3 years ago

Which of the following consists of discrete data?

DanielleElmas [232]

Answer:

A

Step-by-step explanation:

Number of suitcases on a plane is discrete because you can only have an integer amount. You can't have a fraction of a suitcase on a plane.

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3 years ago

WILL GIVE BRAINIEST: A beetle weighs 8.7 x 10^-3 gram. What is 8.7 x 10^-3 written in standard form?

Montano1993 [528]

Answer:

.0087

Step-by-step explanation:

8.7 x 10^-3

10^-3 means move the decimal to the left 3 places. The negative means left, positive would mean right. We add 0 to make enough places to move it to the left 3

008.7

Move it 3 places left

.0087

This is in standard form

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