You just bought a fish tank that is 30 in long 18 in wide and 13 in tall. how many square inches of glass are used if the sides and the bottom are made of glass?

Number of square inches glasses = 1788

Step-by-step explanation:

Formula

Surface area of cuboid = 2(lb + lh + bh)

l - Length of cuboid

b - Breadth of cuboid

h - Height of cuboid

To find the number of glasses needed

Here fish tank is like a open cuboid, we have to find the surface area of top  open cuboid.

Here l = 30 in , b = 18 in and h = 13 in

Surface area = 2(lb + lh + bh) - lb

= 2[(30 * 18) + ( 30 * 13) + (18 * 13)] - (30 * 18)

= 2[540 + 390 + 234] - 540

= 2[1164] - 540

= 1788 square inches

Number of square inches glasses = 1788

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places