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3 years ago

An elephant sleeps 12% of a day what fraction of a day does an elephant sleep

Mathematics

1 answer:

Dmitry [639]3 years ago

8 0

12/100 of a day, which reduces to 3/25 of a day.

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A superhero is trying to leap over a tall building. The function f(x)=-16x^2+200x gives the superhero's height in feet as a func

Gemiola [76]

Answer:

Since $\bigtriangleup \geq 0$ , the superhero makes it over the building.

Step-by-step explanation:

The height is given by the following function:

$f(x) = -16x^{2} + 200x$

Will the superhero make it over the building?

We have to find if there is values of x for which f(x) = 612.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

If $\bigtriangleup < 0$ , the polynomial has no solutions.

In this question:

$f(x) = -16x^{2} + 200x$

$-16x^{2} + 200x = 612$

$16x^{2} - 200x + 612 = 0$

We have to find $\bigtriangleup$

We have that $a = 16, b = -200, c = 612$ . So

$\bigtriangleup = (-200)^{2} - 4*16*612 = 832$

Since $\bigtriangleup \geq 0$ , the superhero makes it over the building.

7 0

3 years ago

HELP! How do I complete this table?

zloy xaker [14]

Answer:

6 1/2

Step-by-step explanation:

i don't know the rest but I know that that one might be 6 1/2

4 0

2 years ago

What is the solution to the following equation?

Snowcat [4.5K]

Answer:

A. x=13

Step-by-step explanation:

$x + 11 = 24 \\ x = 24 - 11 \\ x = 13$

5 0

3 years ago

Find the perimeter of angle ABC with verticals A(1,-6), B(1,-3) and C(-4,-6)

disa [49]

Answer:

its 13.83

Step-by-step explanation:

Use the distance formula and plug them in

6 0

3 years ago

What is 4 1/3 divided by 10 1/5

vladimir2022 [97]

I got 65/153 since you actually multiply by the reciprocal of the second fraction.

6 0

3 years ago