Ask question

Ask question

All categories

1 year ago

11

What is the reciprocal Consider the expression (5) of the base? Write your answer as a fraction, using the / symbol, like this:

42/53

1 answer:

lora16 [44]1 year ago

3 0

Reciprocal of a fraction<h2>Answer</h2>

8/7

<h2>Explanation</h2>

In this case, the base is 7/8 and the exponent is -4.

In order to find the reciprocal of a fraction we just have to flip it upside down:

That is why the answer is 8/7.

You might be interested in

The winning time for the middle school 4 person 100 meter relay 62.59 seconds. Suppose that each runner ran exactly the same amo

AleksAgata [21]

If there are 4 people and you want the time for EACH person then you would do 62.59
Which = 15.6475

3 0

3 years ago

A cone has a diameter of 8 units and a height of 8 units. units, and its volume is Its radius is volume of cubic units. If a sph

aev [14]

The above question is not complete because it was not written and arranged properly

Complete Question

1) A cone has a diameter of 8 units and a height of 8 units. Its radius is 4 units, and its volume is ______ cubic units.

2) A cylinder with the same height and radius as the cone will have a volume ______ of cubic units.

3) If a sphere has the same radius as the cylinder, its volume is ______the volume of the cylinder. Answer: 1) Volume of the cone = 134.04cubic units

2)Volume of the cylinder = 402.12cubic units

3) Volume of the sphere= 268.08 cubic units. Hence, if a sphere has the same radius as the cylinder, its volume is 2/3 times the volume of the cylinder.

Step-by-step explanation:

1) A cone has a diameter of 8 units and a height of 8 units. Its radius is 4 units, and its volume is ______ cubic units.

Volume of a cone = 1/3πr²h

h = 8 units

r = 4 units

Volume = 1/3 × π × 4² × 8

134.04cubic units

2) A cylinder with the same height and radius as the cone will have a volume ______ of cubic units.

Volume of a cylinder = πr²h

Height and radius is the same as that of the cones hence,

h = 8 units

r = 4 units

= π × 4² × 8

= 402.12cubic units.

3) If a sphere has the same radius as the cylinder, its volume is ______the volume of the cylinder.

Volume of a Sphere = 4/3πr³

r = radius of the cylinder = 4 units

Volume of a Sphere = 4/3 × π × 4³

= 268.08 cubic units.

From the above question, we are asked to compare the volume of the sphere with the volume of the cylinder

Volume of the sphere : Volume of the cylinder

268.08 cubic units : 402.12 cubic units

268.08/402.12 = 2/3

Therefore, the volume of the sphere is 2/3 times the volume of the cylinder

6 0

2 years ago

Write an algebraic expression for the verbal description. the sum of two consecutive natural numbers, the first of which is n

scoundrel [369]

I think it may be:

n + (n + 1)

hope this helps

8 0

3 years ago

Read 2 more answers

If lim x-> infinity ((x^2)/(x+1)-ax-b)=0 find the value of a and b

MAXImum [283]

We have

$\dfrac{x^2}{x+1}=\dfrac{(x+1)^2-2(x+1)+1}{x+1}=(x+1)-2+\dfrac1{x+1}=x-1+\dfrac1{x+1}$

So

$\displaystyle\lim_{x\to\infty}\left(\frac{x^2}{x+1}-ax-b\right)=\lim_{x\to\infty}\left(x-1+\frac1{x+1}-ax-b\right)=0$

The rational term vanishes as <em>x</em> gets arbitrarily large, so we can ignore that term, leaving us with

$\displaystyle\lim_{x\to\infty}\left((1-a)x-(1+b)\right)=0$

and this happens if <em>a</em> = 1 and <em>b</em> = -1.

To confirm, we have

$\displaystyle\lim_{x\to\infty}\left(\frac{x^2}{x+1}-x+1\right)=\lim_{x\to\infty}\frac{x^2-(x-1)(x+1)}{x+1}=\lim_{x\to\infty}\frac1{x+1}=0$

as required.

3 0

3 years ago

Which equation has a solution of x = 9? A. 5x=45 B. 2x=20 C. 4+x=12 D. x+7=26

sergeinik [125]

Answer:

A. 5x = 45

Step-by-step explanation:

To check, substitute 9 for x in each equation.

A. 5*9 = 45

B. 2*9 ≠ 20

C. 4 + 9 ≠ 12

D. 9 +7 ≠ 26

4 0

3 years ago