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alex41 [277]
3 years ago
5

What is the following product? Assume d>/= 0

Mathematics
2 answers:
Hunter-Best [27]3 years ago
5 0

Answer:

\boxed{\boxed{\sqrt[3]{d}\cdot \sqrt[3]{d}\cdot \sqrt[3]{d}=d}}

Step-by-step explanation:

The given expression is,

=\sqrt[3]{d}\cdot \sqrt[3]{d}\cdot \sqrt[3]{d}

It can also be written as,

=d^{\frac{1}{3}}\cdot d^{\frac{1}{3}}\cdot d^{\frac{1}{3}}

The exponent product rule of algebra states that, while multiplying two powers that have the same base, the exponents can be added.

As here all the terms have same base i.e d, so applying the rule

=d^{\frac{1}{3}+\frac{1}{3}+\frac{1}{3}}

=d^{\frac{1+1+1}{3}}

=d^{\frac{3}{3}}

=d^1

=d

Dvinal [7]3 years ago
5 0

Answer:

it's A

Step-by-step explanation:

i got it right on edge

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A meteor crater is 4000 feet in diameter. approximate the distance around the crater.
Troyanec [42]

9514 1404 393

Answer:

  12,566 ft ≈ 2.38 miles

Step-by-step explanation:

The circumference of a circle is given by the formula ...

  C = πd

For a diameter of 4000 ft, the circumference of a circular crater is about ...

  C = (4000 ft)(3.141593) ≈ 12,566 ft

At 5280 ft per mile, that distance is about ...

  (12,566 ft)/(5280 ft/mi) ≈ 2.38 mi

The distance around the crater is about 12,566 ft or 2.38 miles.

3 0
3 years ago
Jonathan replaced the original factory tires (P220/65 R 18) on his pickup truck with (P255/60 R 17) tires. Calculate the circumf
svet-max [94.6K]

Answer:

92 inches

Step-by-step explanation:

When a tire's size = P220/65 R 18, it means that:

  • the rim is 18 inches wide (or 457 millimeters)
  • the width of the tire is 8.7 inches (or 220 millimeters)
  • the sidewall of the tire is 5.65 inches (or 144 millimeters)
  • the 65 shows the relationship between tire width and sidewall (65%)

the total diameter of the tire = 5.65 + 18 + 5.65 = 29.3 inches

the circumference = 2 x π x radius   or   diameter x π = 29.3 x 3.141592 = 92 inches

3 0
3 years ago
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T are the domain and range of f (x) = (1/5)^x?
MAXImum [283]

Answer:

Step-by-step explanation:

domain:A

range: D

3 0
3 years ago
For better clarification I guess
marissa [1.9K]

Answer:

1.) =\frac{\sqrt{3}}{3}

2.) 42\sqrt{30}

Step-by-step explanation:

1.) \mathrm{Multiply\:by\:the\:conjugate}\:\frac{\sqrt{3}}{\sqrt{3}}

2.) \mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{b}=\sqrt{a\cdot b}

\sqrt{6}\sqrt{5}=\sqrt{6\cdot \:5}

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3 years ago
A ladder is leaning up against the side of a house. Use two points
Natali [406]

Answer:

The slope is 2.

Step-by-step explanation:

Slope = rise / run, meaning that when you move 2 units up, you move 1 unit right. The slope here is positive.

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3 years ago
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