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3 years ago

Owen simplified the expression r-8 s-5.r−8s−5 = 1r8 ⋅ s5 = s5r8

Mathematics

2 answers:

kobusy [5.1K]3 years ago

6 0

r⁻⁸ s⁻⁵

using the rule x⁻ⁿ=1/xⁿ

r⁻⁸ s⁻⁵ = (1/r⁸)(1/s⁵)

Vesnalui [34]3 years ago

4 0

Sample Response: Each base must be treated separately. Since each base is raised to a negative exponent, they should both be in the denominator of the fractions. The simplified form of the expression has 1 in the numerator and r to the 8th power times s to the 5th power in the denominator.

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Please help me. The original blueprint of the Moreno’s’ living room has a scale of 2 inches= 5 feet. The family wants to use a n

Svetradugi [14.3K]

Answer:

Part a) The scale of the new blueprint is $\frac{5}{8} \frac{in}{ft}$

Part b) The width of the living room in the new blueprint is $9.4\ in$

Step-by-step explanation:

we know that

The scale of the original blueprint is

$\frac{2}{5}\frac{in}{ft}$

and

the width of the living room on the original blueprint is 6 inches

Find the actual width of the living room, using proportion

$\frac{2}{5}\frac{in}{ft}=\frac{6}{x}\frac{in}{ft}\\ \\x=5*6/2\\ \\x=15\ ft$

Find the actual length of the living room, using proportion

$\frac{2}{5}\frac{in}{ft}=\frac{9.6}{x}\frac{in}{ft}\\ \\x=5*9.6/2\\ \\x=24\ ft$

Find the scale of the new blueprint, divide the length of the living room on the new blueprint by the actual length of the living room

$\frac{15}{24} \frac{in}{ft}$

simplify

$\frac{5}{8} \frac{in}{ft}$

Find the width of the living room in the new blueprint, using proportion

$\frac{5}{8}\frac{in}{ft}=\frac{x}{15}\frac{in}{ft}\\ \\x=15*5/8\\ \\x=9.4\ in$

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3 years ago

The capacity of a cylindrical water tank is 539 litres. If its height is 1.4 meter then find the radius of the base.

natulia [17]

Answer:

350m

Step-by-step explanation:

capacity= volume/1000
but we know that volume of cylinder is πr²h so substitute it I'm the volume space
then substitute for π as 22/7, h as 1.4 , and also capacity as 539
539= ((22/7)×r²×1.4)/1000
when you simplify you get r as 350m

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2 years ago

What is the location of the point on the number line that is 2/5 of the way from A = -6 to B = 9

sammy [17]

The distance between is =|9|+|-6|=15.
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So 2/5 of the AB segment is 6 distance points away from A at point C=0.

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Answer:

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Step-by-step explanation:

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