What is 5-to-4 in a percent??

The populations and land areas of four cities in Texas are shown.

Ksju [112]

The ratio for population density is population:area

Using this, we find that choices 1, 4, and 5 are true,

:)

8 0

3 years ago

An arrow is launched upward with a velocity of 192 feet per second from the top of a 95-foot stage. What is the maximum height a

Shalnov [3]

9514 1404 393

Answer:

671 feet

Step-by-step explanation:

There are a couple of ways to figure this. One is to use a sort of shortcut equation to find the distance traveled (d) by an object when subject to some initial velocity (v) and acceleration (a). Here the acceleration due to gravity is -32 ft/s².

v² = 2ad

d = v²/(2a) = (192 ft/s)^2/(2·32 ft/s²) = 576 ft

This height is in addition to the starting height of 95 ft, so the arrow's maximum height is ...

max height = 95 ft + 576 ft = 671 ft

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Another way to work this problem is to start with the equation for ballistic motion. Filling in the given initial velocity and height, we have ...

h(t) = -16t^2 +192t +95

The time the arrow reaches the maximum height is the time representing the axis of symmetry of the parabola:

t = -(192)/(2(-16)) = 6

Then the maximum height is ...

h(6) = -16·6^2 +192·6 +95 = 671

The maximum height is 671 feet.

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Additional comment

For the standard-form quadratic ...

y = ax^2 +bx +c

The axis of symmetry is ...

x = -b/(2a)

6 0

3 years ago

1!+2(2!)+3(3!)+...+n(n!)=(n+1)!-1

anyanavicka [17]

Step-by-step explanation:

OK, let's assume it this way:

Sn=1.1!+2.2!+3.3!+...+n.n!=(2‐1).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!

Sn=1.1!+2.2!+3.3!+...+n.n!=(2‐1).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!=(2.1!-1!)+(3.2!-2!)+(4.3!-3!)+...+((n-1)n!-n!)=(2!-1!)+(3!-2!)+(4!-3!)+

Sn=1.1!+2.2!+3.3!+...+n.n!=(2‐1).1!+(3-1).2!+(4-1)3!+...+((n+1)-1).n!=(2.1!-1!)+(3.2!-2!)+(4.3!-3!)+...+((n-1)n!-n!)=(2!-1!)+(3!-2!)+(4!-3!)+...+(n+1)!-n!=(n+1)!-1!=(n+1)!-1

and boom problem solved

7 0

1 year ago

What is the surface area of this cylinder (round to the nearest tenth) 6.4 m2 25.1 m2 37.7 m2 62.8 m2

denpristay [2]

Answer: 62.8m^2

Step-by-step explanation:

Surface area of a cylinder = $2\pi r^{2} + 2\pi rh$