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2 years ago

The ratio between the square of a number and it's cube is 1:3 what is the number

Mathematics

1 answer:

Dimas [21]2 years ago

4 0

Answer:

Step-by-step explanation:

Call that number “x”

The square of that number is x^2

Also as the cube is x^3

The ratio between these 2 values is 1:3, this means x^2 / x^3 = 1 / 3

<==> 1 / x = 1 / 3 (eliminate “x^2” for numerator and denominator of the fraction x^2 / x^3 )

<==> x = 1 * 3 / 1 = 3

So, that number is 3 ! This math problem seems simple ;)

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The hypotenuse AB of the right triangle ABC is parallel to the axis of the abscess. Find the length of the hypotenuse if A (-1;

lukranit [14]

Answer:

10.25

Step-by-step explanation:

The slope of AC is given by the slope formula:

m = (y2 -y1)/(x2 -x1)

m = (-4 -1)/(3 -(-1)) = -5/4

Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

y -(-4) = 4/5(x -3) . . . . line CB

When y = 1 (to match the y-value of A), then ...

1 +4 = 4/5(x -3)

5(5/4) = (x -3) . . . . . multiply by 5/4

6.25 +3 = x = 9.25 . . . . add 3

Point B is (9.25, 1).

The length of the hypotenuse is ...

9.25 -(-1) = 10.25

6 0

2 years ago

Please help me! And please no scam answers

Yuri [45]

Answer:

Average rate of change: $-3$

Step-by-step explanation:

Remember:

The average rate of change of a function over an interval $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$

Given:

$[a,b]=[1,7]$

$f(b)=f(7)$

$f(a)=f(1)$

Calculation:

$f(b)=f(7)=-(7)^2+5(7)+14=-49+35+14=-49+49=0$

$f(a)=f(1)=-(1)^2+5(1)+14=-1+5+14=4+14=18$

$\frac{f(b)-f(a)}{b-a}=\frac{0-18}{7-1}=\frac{-18}{6}=-3$

Therefore, the average rate of change of the function $g(x)=-x^2+5x+14$ over the interval $1\leq x\leq7$ is $-3$ .

6 0

2 years ago

Please Help!

MAVERICK [17]

For a translation of 4 units right, the graph will become -3(x-4). the 4 is negative to indicate that the translation is right.
For a vertical stretch of 4, the graph will become 4x-3(x-4)=-12(x-4).

With this information, g(x)=-12(x-4)

5 0

2 years ago

How to find the equalivent fraction of mixed number

Dahasolnce [82]

Multiply the numerator and denominator by the whole number. you'll most likely get an improper fraction though.

5 0

3 years ago

Of the 84 people who answered "yes" to a question, 14 were male. Of the 73 people that answered "no" to the question, 12 were ma

pantera1 [17]

Answer:

.611

Step-by-step explanation:

there were 84 people who answered yes plus an additional 12 men who said no. Add these up and you get 96. Divide that number by the number of people which is 157 and you get .611 rounded up.

4 0

2 years ago

Read 2 more answers

The ratio between the square of a number and it's cube is 1:3 what is the number ​

The ratio between the square of a number and it's cube is 1:3 what is the number