Match the following inequalities to the correct graph below.

9514 1404 393

  14.  F -3.5 ≤ x

  15.  D x > -5

  16.  E -2 > x

Step-by-step explanation:

If the circle is open, the inequality will not include the "or equal to" case. That is, the symbol will be < or >. If the circle is a solid dot, then the symbol will be ≤ or ≥.

When shading is to the right, the variable values are greater than the limit. When shading is to the left, variable values are less than the limit.

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14. The limit is -3.5, and the dot is solid. The expression will be ...

  x ≥ -3.5   or   -3.5 ≤ x . . . . . matches choice F

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15. The limit is -5, and the dot is open. The expression will be ...

  x > -5   or   -5 < x . . . . . matches choice D

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16. The limit is -2, and the dot is open. The expression will be ...

  x < -2   or   -2 > x . . . . . matches choice E

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation:

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.