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3 years ago

5

Which number classified as a terminating decimal number?

1 answer:

Ugo [173]3 years ago

4 0

The answer is the option D: D)none of the above.
The explanation is shown below:
By definition, a terminating decimal must have finite numbers of digits and it must be a rational number, which means that it can be written as a simple fraction whose numerator and denominator must be integers.
Keeping the information above on mind,you have that the option A does not have finite digits, and the options B and C can't be written as a simple fraction. Therefore, the answer is the option D.

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katrin [286]

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15,435

Step-by-step explanation: thts the anwser

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3 years ago

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faust18 [17]

Answer:the diameter is 7

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2 years ago

A plot of land is in the shape of a triangle. If one side is x meters, a second side is

Rudiy27

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3 years ago

A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down t

VLD [36.1K]

Answer:

6000 ft

Step-by-step explanation:

Let length of rectangular field=x

Breadth of rectangular field=y

Area of rectangular field= $1500000$ square ft

Area of rectangular field= $l\times b$

Area of rectangular field= $x\time y$

$1500000=xy$

$y=\frac{1500000}{x}$

Fencing used ,P(x)= $x+x+y+y+y=2x+3y$

Substitute the value of y

P(x)= $2x+3(\frac{1500000}{x})$

$P(x)=2x+\frac{4500000}{x}$

Differentiate w.r.t x

$P'(x)=2-\frac{4500000}{x^2}$

Using formula: $\frac{dx^n}{dx}=nx^{n-1}$

$P'(x)=0$

$2-\frac{4500000}{x^2}=0$

$\frac{4500000}{x^2}=2$

$x^2=\frac{4500000}{2}=2250000$

$x=\sqrt{2250000}=1500$

It is always positive because length is always positive.

Again differentiate w.r.t x

$P''(x)=\frac{9000000}{x^3}$

Substitute x=1500

$P''(1500)=\frac{9000000}{(1500)^3}>0$

Hence, fencing is minimum at x=1 500

Substitute x=1 500

$y=\frac{1500000}{1500}=1000$

Length of rectangular field=1500 ft

Breadth of rectangular field=1000 ft

Substitute the values

Shortest length of fence used= $2(1500)+3(1000)=6000 ft$

Hence, the shortest length of fence that the rancher can used=6000 ft

3 0

3 years ago

2. what value of b makes the following equation true

Svetradugi [14.3K]

Answer:

2. 10

3. D. 1 for all n

Step-by-step explanation:

2. The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

a^b = 1/a^-b

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$\dfrac{4^8}{(4^2)^{-3}}\div 4^4=\dfrac{4^8}{4^{-6}\cdot4^4}=\dfrac{4^8}{4^{-2}}\\\\=4^8\cdot4^2=4^{10}$

The value of n is 10.

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3. Using the above rules of exponents, the expression simplifies to ...

6^(-n+n) = 6^0 = 1

The value is 1 for any n.

4 0

3 years ago