It is greater than 37,493.

1 answer:

7 0

37493 < x < 37503

it is even....so choices so far are : 37494, 37496, 37498, 37,500, 37,502

rounded to the nearest ten is less then the number....

37494 rounded to the nearest ten = 37490.....it is less then the mystery number
and 37502 rounded to the nearest tens = 37500...it is less then the mystery number

ur other choices, when rounded to the nearest ten are greater then or equal to the mystery number...so they dont work

so now we have 2 choices....37494 and 37502

rounded to the nearest thousand is greater then the mystery number....

37494 rounded to the nearest thousand = 37000...that less then...so this wont work

37502 rounded to the nearest thousand = 38000....thats greater then the mystery number....BINGO....ur answer is : 37502 <==

You might be interested in

The answer choices are 11 1 2.48 6

Fudgin [204]

Answer:

The ball reached its maximum height of ( $11\ yards$ ) in ( $1\ second$ ).

Step-by-step explanation:

This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.

The first step in completing the square is to group the quadratic and linear term:

$h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6$

Now factor out the coefficient of the quadratic term:

$h(t)=-5(t^2 -2t) + 6$

After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:

$h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6$

Now take the balancing term out of the parenthesis:

$\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))$

Simplify:

$h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11$

The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:

$(1, 11)$