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3 years ago

Find the value of each determinant

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

6 0

Answer:

−4304

Step-by-step explanation:

1. The given determinant is :

$\begin{vmatrix}7 &31 \\ 142& 14\end{vmatrix}$

We need to find its determinant . It can be solved as follows :

$\begin{vmatrix}7 &31 \\ 142& 14\end{vmatrix}=7(14)-142(31)\\\\=-4304$

So, the value of determinant is equal to −4304.

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An aquarium has dimensions 2x feet, (x – 1) feet, and (x + 2) feet. The aquarium volume must be no more than 280 cubic feet.

Lina20 [59]

Answer:

$x^3+x^2-2x\leq140$

Step-by-step explanation:

This is an algebra problem, and we are expected to inequality for the volume of the aquarium.

Given that the

length= 2x

width=(x – 1)

heigth= (x + 2)

and the volume= 280 ft^3

the inequality expression for the volume is

$2x*(x -1) * (x + 2) \leq 280\\\\$

open the brackets

$2x*(x -1) * (x + 2) \leq 280\\\\(2x^2-2x)*(x+2)\leq 280\\\\\2x^3+4x^2-2x^2-4x\leq 280\\\\\2x^3+2x^2-4x\leq280$

divide through by 2 we have

$x^3+x^2-2x\leq140$

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3 years ago

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An international company has 13,700 employees in one country. If this represents 21.1% of the company's employees, how many empl

romanna [79]

21.1% of the total company is 13, 700 (as stated in the word problem). Therefore, 0.211x = 13, 700. Divide 0.211 on both sides: 64, 928.9099. The nearest whole number would result in 64, 929 employees.

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4 years ago

The mapping diagram shows a relation. A mapping diagram shows a relation, using arrows, between inputs and outputs for the follo

natita [175]

Explanation is in the file

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your current wardrobe consists of eleven different items: three pairs of shoes, two pairs of pants, and six different shirts. yo

Alex73 [517]

A pair of shoes gives us 48 different outfits.

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." from Wolfram MathWorld: linear

We will employ the basic counting principle, which states that if one task can be completed in method A and another in way B, then both tasks may be completed in way A*B.

If mom buys 1 shirt, then total shirts(A) = 6+1 =7, total pants(B) = 2 and total shoes (C) = 3

By basic counting principle, number of outfits = A*B*C = 7*2*3 = 42 outfits possible

and

If mom buys 1 pair of shoes, then total shirts(A) = 6, total pants(B) = 2 and total shoes (C) = 3+1 = 4

By basic counting principle, number of outfits = A*B*C = 6*2*4 = 48 outfits possible

hence, buying a pair of shoes gives us 48 different outfits.

Learn more about linear equation

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2 years ago

Sue deposited $52 into her bank account, so she currently has $12 in her account. What was her balance before the deposit?

Semenov [28]

Answer:

-40

Step-by-step explanation:

12 - 52 = -40

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