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ziro4ka [17]
3 years ago
12

What is the definition of perfect cube and can you give an example

Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
6 0
A perfect cube is a natural number in the form
{a}^{3}  = a \times a \times a
therefore
{1}^{3}  = 1 \\  {2}^{3}  = 8 \\  {3}^{3}  = 27 \\  {4}^{3}  = 64 \\  {5}^{3 }  = 125 \\ . \\ . \\ .\\ .
and also you can define it as any natural number who's third root is also a natural number for examble
\sqrt[3]{1000}  = 10
so you can say that the tenth perfect cube is 1000
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Bro i can’t fail this real talk i need help please i’ll give u a brainliest for your help please
marin [14]

Answer:

33.4933333333, rounded, 33.5x^{3}

4/3x3.14x2x2x2=33.4933333333

5 0
3 years ago
Read 2 more answers
Which ordered pair is the solution to the system of equations below? 4x+3y=31 2y=22-3x (A) (4,5) (B) (5,4) (C) (6,2) (D) (7,1)
grandymaker [24]

Plug in the points x and y

5 0
3 years ago
1) After a dilation, (-60, 15) is the image of (-12, 3). What are the coordinates of the image of (-2,-7) after the same dilatio
BARSIC [14]

Answer:

a) k = 5; (-10, -35)

Step-by-step explanation:

Given:

Co-ordinates:

Pre-Image = (-12,3)

After dilation

Image = (-60,15)

The dilation about the origin can be given as :

Pre-Image(x,y)\rightarrow Image(kx,ky)

where k represents the scalar factor.

We can find value of k for the given co-ordinates by finding the ratio of x or y co-ordinates of the image and pre-image.

k=\frac{Image}{Pre-Image}

For the given co-ordinates.

Pre-Image = (-12,3)

Image = (-60,15)

The value of k=\frac{-60}{-12}=5

or k=\frac{15}{3}=5

As we get k=5 for both ratios i.e of x and  y co-ordinates, so we can say the image has been dilated by a factor of 5 about the origin.

To find the image of (-2,-7), after same dilation, we will multiply the co-ordinates with the scalar factor.

Pre-Image(-2,-7)\rightarrow Image((-2\times5),(-7\times 5))

Pre-Image(-2,-7)\rightarrow Image(-10,-35) (Answer)

7 0
3 years ago
10x + 7y=1<br> -5x-7y=24
nikitadnepr [17]
Okay, so since both y values share the same number, let's add both equations so the y values cancel out leaving us to solve for x.

10x+(-5x)=5x

7y+(-7y)=0

1+24=25

Now we have 5x=25

divide both sides by 5 and we have x=5

Now that we know x=5, we can plug it into one of the problems to find y.

Let's do 10(5) +7y=1   

50+7y=1  subtract 5 and we get 7y=-49

divide -7 from both sides and we get y=-7

so there you have it x=5 and y=-7
8 0
3 years ago
Suppose the average price of gasoline for a city in the United States follows a continuous uniform distribution with a lower bou
Novay_Z [31]

Answer:

P(X

And we can use the cumulative distribution function given by:

F(x) = \frac{x-a}{b-a} , a \leq X \leq b

And for this case we can write the probability like this:

P(X

And then the final answer for this case would be \frac{2}{3}=0.667

Step-by-step explanation:

For this case we define our random variable X "price of gasoline for a city in the USA" and we know the distribution is given by:

X \sim Unif (a=3.5, b=3.8)

And for this case the density function is given by:

f(x) = \frac{x}{b-a}= \frac{x}{3.8-3.5}=, 3.5 \leq X \leq 3.8

And we want to calculate the following probability:

P(X

And we can use the cumulative distribution function given by:

F(x) = \frac{x-a}{b-a} , a \leq X \leq b

And for this case we can write the probability like this:

P(X

And then the final answer for this case would be \frac{2}{3}=0.667

5 0
3 years ago
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