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stepladder [879]
3 years ago
13

A bag of concrete equals 1000 cu. Inches. Your customer already has 2 bags at home. How many more bags does he need to fill an a

rea of 5’ x 10” x 10”? ________
Mathematics
1 answer:
adelina 88 [10]3 years ago
5 0
From the information given;
1 bag of concrete = 1000 in^3
2 bags at home = 1000*2 = 2000 in^3

The available space has a volume of;

Volume = (5*12)*10*10 (Note: 1 ft = 12 inches)
Volume = 60*10*10 = 6000 in^3

The remaining volume = Available space - occupied space = 6000 - 2000 = 4000 in^2

1 bag = 1000 in^3
x bags = 4000 in^2

Then,
x = 1*4000/1000 = 4 bags.
This means 4 more bags of concrete will be required to fully fill the  space.
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Mashcka [7]
27, 22, 17, 12, 7 subtract 5
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3 years ago
Determine the cross product b*a a=2i+2j-5k b=6i-j+2k
Misha Larkins [42]

Recall the definition of the cross product:

i x i = j x j = k x k = 0

i x j = k

j x k = i

k x i = j

The cross product is antisymmetric, or anticommutative, meaning that for any  vectors u and v, we have u x v = - (v x u).

It's also distributive, so for any vectors u, v, and w, we have (u + v) x w = (u x w) + (v x w).

Taking all of these properties together, we get

b x a = (6i - j + 2k) x (2i + 2j - 5k)

b x a = 12 (i x i) - 2 (j x i) + 4 (k x i)

............. + 12 (i x j) - 2 (j x j) + 4 (k x j)

............. - 30 (i x k) + 5 (j x k) - 10 (k x k)

b x a = 1 (j x k) + 34 (k x i) + 14 (i x j)

b x a = i + 34j + 14k

5 0
2 years ago
The equation V equals pi r squared h, where r represents radius and h represents height, is used to find the volume of a _______
baherus [9]

Answer:

Volume of a cylinder.

Step-by-step explanation:

The given equation is :

V=\pi r^2 h

Where

r is the radius

h is the height

This equation is used to find the volume of a cylinder.

For example, a cylinder having radius of 7 units and height of 10 units, its volume will be :

V=\dfrac{22}{7}\times 7^2\times 10\\\\V=1540\ \text{unit}^2

So, the given equation is used to find the volume of a cylinder.

7 0
2 years ago
Determine whether the set of vectors is a basis for ℛ3. Given the set of vectors , decide which of the following statements is t
schepotkina [342]

Answer:

(A) Set A is linearly independent and spans R^3. Set is a basis for R^3.

Step-by-Step Explanation

<u>Definition (Linear Independence)</u>

A set of vectors is said to be linearly independent if at least one of the vectors can be written as a linear combination of the others. The identity matrix is linearly independent.

<u>Definition (Span of a Set of Vectors)</u>

The Span of a set of vectors is the set of all linear combinations of the vectors.

<u>Definition (A Basis of a Subspace).</u>

A subset B of a vector space V is called a basis if: (1)B is linearly independent, and; (2) B is a spanning set of V.

Given the set of vectors  A= \left(\begin{array}{[c][c][c][c]}1 & 0 & 0 & 0\\ 0 & 1 & 0 & 1\\ 0 & 0 & 1 & 1\end{array} \right) , we are to decide which of the given statements is true:

In Matrix A= \left(\begin{array}{[c][c][c][c]}(1) & 0 & 0 & 0\\ 0 & (1) & 0 & 1\\ 0 & 0 & (1) & 1\end{array} \right) , the circled numbers are the pivots. There are 3 pivots in this case. By the theorem that The Row Rank=Column Rank of a Matrix, the column rank of A is 3. Thus there are 3 linearly independent columns of A and one linearly dependent column. R^3 has a dimension of 3, thus any 3 linearly independent vectors will span it. We conclude thus that the columns of A spans R^3.

Therefore Set A is linearly independent and spans R^3. Thus it is basis for R^3.

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Answer:

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Step-by-step explanation:

            x^{3} -5x^{2} -6x +8 \frac{-2}{x + 3}

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                 -(-5x^{3} -15x^{2})

                              -6x^{2} -10x +22

                            -(-6x^{2} -18x)

                                            8x +22

                                          -(8x + 24)

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4 0
3 years ago
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