Ask question

Ask question

All categories

2 years ago

9

Explain the mathematical motivation for expanding to the rational number set.

1 answer:

NARA [144]2 years ago

3 0

Answer:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. The set of all rational numbers, often referred to as "the rationals", the field of ... The decimal expansion of a rational number either terminates after a finite

Step-by-step explanation:

You might be interested in

Wesley can use the equation y=3x to calculate how far he has walked, where y represents the number of miles walked, and x repres

arlik [135]

16.5/3 = 5.5

Step-by-step explanation:

becuase he needs to walk 16.5 miles. and he can walk 3 miles per x(hour)

you need to devide distance by speed to get time.

5 0

2 years ago

How much material is required to make a pipe that is 300 cm long whose outer diameter is 8 cm with an inner diameter of 5 cm? Sh

worty [1.4K]

Answer:

Step-by-step explanation:

If you had a solid cylinder, in order to find the amount of material that makes up that solid cylinder, you would find the volume using the radius of 4 (half of the diameter 8). BUT we want to know the volume of the solid with the radius of 4 minus the solid that has a radius of 2.5 (half of the diameter 5).

$V_o-V_i$ That's volume outer - volume inner. To find the outer volume:

$V=\pi r^2h$ so

$V_o=\pi (4^2)(300)$ and

$V_o=4800\pi$ and do the same for the inner volume:

$V_i=\pi (2.5^2)(300)$ and

$V_i=1875\pi$

Subtract the inner from the outer:

$4800\pi-1875\pi=2925\pi cm^3$

If you need your answer in decimal form, then the volume is

9189.16 cm³

4 0

2 years ago

Someone help ASAP!!!!!!

Alchen [17]

Answer:

Length, l = 11 ft.

Width, w = 9 ft.

Step-by-step explanation:

From the given data, the area of the rectangle = 99 ft².

Area of the rectangle = Length, l X Width, w

Here, Length, l = 7 more than twice the width

⇒ Length, l = 7 + 2w

Therefore, Area, A = 99 = (7 + 2w)w

⇒ 99 = 7w + 2w²

⇒ 2w² + 7w - 99 = 0

Solve the Quadratic equation using the formula: x = $\frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ for the quadratic equation ax² + bx + c = 0.

Therefore, w = $\frac{-7 \pm \sqrt{7^2 -4(2)(-99)}}{2(2)}$

$= \frac{-7 \pm \sqrt{49 + 8(99)}}{4}$

$= \frac{-7 \pm + \sqrt{841}}{4}$

Since, $\sqrt{841} = 29$ we get:

$w = \frac{-7 \pm 29}{4}$

This gives two values of 'w', viz., w = $\frac{-7 - 29}{4}$ , $\frac{-7 + 29}{4}$

$\implies w = \frac{22}{4}, \frac{-36}{4}$

⇒ w = $\frac{22}{4}$ , -9.

We take the integer values.

If w = -9, then l = 2(-9) + 7

⇒ l = - 18 + 7 = - 11

Therefore, the length, l of the rectangle = - 11 ft.

and the width, w of the rectangle = - 9 ft.

Hence, the answer.

3 0

2 years ago

Please answer fast will make you brainlest

quester [9]

Answer:

the correct answer would be left 7

Step-by-step explanation:

because in this case |x-7| -7= left 7 and +7 is right 7 also it is within the function

I hope this helps

mark brainliest if you can

5 0

2 years ago

Read 2 more answers

If $396 is invested at an interest rate of 13% per year and is compounded continuously, how much will the investment be worth in

Vilka [71]

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

Amount invested = $396

Interest rate = 13% per year

Time = 3 years

We will use the "Exponential growth formula" i.e.

$A=Pe^{rt}$

Here,

P denotes Principle amount

r denoted rate of growth

t denotes number of years,

So, it becomes

$A=396e^{0.13\times 3}\\\\A=396e^{0.69}\\\\A=\$584.88$

Hence, First option is correct.

3 0

2 years ago

Read 2 more answers