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3 years ago

How many whole numbers are there, whose squares and cubes have the same number of digits?

Mathematics

1 answer:

Naddik [55]3 years ago

7 0

Answer:

there are only 4 whole numbers whose squares and cubes have the same number of digits.

Explanations:

let 0, 1, 2 and 4∈W (where W is a whole number), then

$0^2=0$ , $0^3=0$ ,

$1^2=1$ , $1^3=1$ ,

$2^2=4$ , $2^3=8$ ,

$4^2=16$ , $4^3=64$ .

You can see from the above that only four whole numbers are there whose squares and cubes have the same number of digits

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You go to an arcade and purchase a card with game credits. After playing 5 games you have 33 credits left. You play 4 more games

Amanda [17]

Answer:

$y=-3x+48$

Step-by-step explanation:

We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is: $y=mx+b$ , where m= Slope of the line, b= y-intercept.

To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.

We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).

Let us substitute coordinates of our both given points in slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$ ,

$m=\frac{21-33}{9-5}$

$m=\frac{-12}{4}=-3$

Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.

$33=-3\cdot 5+b$

$33=-15+b$

$33+15=b$

$48=b$

Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,

$y=-3x+48$

Therefore, our desired equation will be $y=-3x+48$ .

6 0

3 years ago

Keely says that he’s glad that his morning coffee is sold in a monopolistically competitive market rather than a purely competit

aleksklad [387]

This suggests that he buys products with higher prices than other similar products. But this type of market(monopolistic competition) is great though, because there are lesser suppliers than in the pure competition where products are almost within the same price ranges. In a monopolistic competition, suppliers sell their products with a justifiable high price. This is also an advantage for the buyers, they would be able to consume and be satisfied with products of high quality.

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3 years ago

Vector u has initial point at (3, 9) and terminal point at (–7, 5). Vector v has initial point at (1, –4) and terminal point at

spin [16.1K]

Answer:

⟨-5, -1⟩

Step-by-step explanation:

Vector:

A vector is given by its endpoint subtracted by its initial point.

Vector u has initial point at (3, 9) and terminal point at (–7, 5)

Then

$u = (-7, 5) - (3,9) = (-7 - 3, 5 - 9) = (-10,-4)$

Vector v has initial point at (1, –4) and terminal point at (6, –1).

Then

$v = (6,-1) - (1,-4) = (6-1,-1-(-4)) = (5,3)$

What is u + v in component form?

$u + v = (-10,-4) + (5,3) = (-10+5,-4+3) = (-5,-1)$

⟨-5, -1⟩ is the answer.

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3 years ago

How to solve logarithmic equations as such

Serga [27]

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3 years ago

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Answer:

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Step-by-step explanation:

I'm not too sure about B, but A and E are definitely true

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3 years ago