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JulsSmile [24]
3 years ago
5

Multiply: (-5qr) × (-2pqr) × pq​

Mathematics
1 answer:
ahrayia [7]3 years ago
4 0

Answer:

The product of (-5·q·r) × (-2·p·q·r) × p·q is 10·q³·r²·p²

Step-by-step explanation:

The question relates to the rules of multiplication of variables and indices rules, and simplifification of an expression ;

The given expression is (-5·q·r) × (-2·p·q·r) × p·q

Therefore, we have;

(-5·q·r) × (-2·p·q·r) × p·q = (-5) × (-2) × q×q×q × r×r ×p×p = 10 × q³ × r² × p²

10 × q³ × r² × p² = 10·q³·r²·p²

∴ (-5·q·r) × (-2·p·q·r) × p·q = 10 × q³ × r² × p² = 10·q³·r²·p²

(-5·q·r) × (-2·p·q·r) × p·q = 10·q³·r²·p².

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Answer:

The width W is :

W=\frac{3}{5}

Step-by-step explanation:

<em>Let A be the area of the rectangle </em>

<em>Let L be the length of the rectangle</em>

<em>Let W be the width of the rectangle </em>

______

Formula:

A = L × W

__________

\begin{aligned}A &=L \times W \\\Rightarrow W &=\frac{A}{L} \\\Rightarrow W &=\frac{\frac{3}{8}}{\frac{5}{8}} \\&=\frac{3}{8} \times \frac{8}{5} \\&=\frac{3 \times 8}{8 \times 5} \\&=\frac{3}{5}\end{aligned}

6 0
2 years ago
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Finger [1]

Answer:

What is the arc length and sector area for the following circle. Round your answer to 4 decimal places. *

Step-by-step explanation:

6 0
3 years ago
You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar
Verizon [17]

Answer:

Length=10.5\ ft

Width=10.5\ ft

Area=110.25\ ft^{2}

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

P=2(x+y)

we have

P=42\ ft

so

42=2(x+y)

simplify

21=(x+y)

y=21-x------> equation A

Remember that the area of rectangle is equal to

A=xy ----> equation B

substitute equation A in equation B

A=x(21-x)

A=21x-x^{2}----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point (10.5,110.25)

see the attached figure

so

x=10.5\ ft

Find the value of y

y=21-10.5=10.5\ ft

The garden is a square

the area is equal to

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6 0
3 years ago
From a population of 200,000,000 elements, the standard deviation is known to be 14. A sample of 49 elements is selected. It is
Talja [164]

Answer:

The standard error of the mean = 2

Step-by-step explanation:

Given that:

The standard deviation σ = 14

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The formula for calculating the standard error can be expressed as:

S.E = \dfrac{\sigma}{\sqrt{n}}

S.E = \dfrac{14}{\sqrt{49}}

S.E = \dfrac{14}{7}

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3 years ago
If the volume of a cube is 729 cm3, what is the surface area of the cube?
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