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3 years ago

If $120.99 is charged for 654 units of electricity

Mathematics

1 answer:

pochemuha3 years ago

7 0

Answer:

The cost of one unit of electricity is $0.185

Step-by-step explanation:

Amount charged = $120.99

Units of electricity used = 654

The cost of a unit of electricity can be determined by dividing the amount charged by the number of units used.

So that,

cost of one unit of electricity = $\frac{120.99}{654}$

= 0.185

cost of one unit of electricity = $0.185

This implies that the cost of electricity used is charged at $0.185 per unit.

Thus for 654 units of electricity used, the cost would be;

654 x $0.185 = $120.99

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Determine the domain and range of the function . f(x)=2 3√ 108^2x {x| all real numbers}; {y| y > 0} {x| all real numbers}; {y

Gala2k [10]

Answer:

Domain : {x | all real numbers} ; Range: {y | y > 0}

Step-by-step explanation:

The function can be written as :

$f(x)=\sqrt[\frac{2}{3}]{108^{2\cdot x}}\\\\\implies f(x)=(108)^{(\frac{3}{2})^{2\cdot x}}$

Now, since x is exponent so it can take any real values. So, its domain of f(x) is all real numbers

But value of f(x) can not be less than 1 because for x = 0 the value of f(x) is 1 and also for any values of x, the value of f(x) can never be less than 1

So, Range of f(x) is all real numbers greater than 0

Hence, Domain and Range of f(x) is given by :

Domain : {x | all real numbers} ;

Range: {y | y > 0}

4 0

3 years ago

Read 2 more answers

Solve the problem . (x – 2) = –14(x – 8)<br> 1) x=0<br> 2)x=--5 1/3<br> 3)x=-3 1/5<br> 4)x=3 1/5

Mrrafil [7]

Answer:

x=38/5

Step-by-step explanation:

distribute

Add 2 to both sides of the equation

Simplify

8 0

2 years ago

Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to

Anettt [7]

Answer:

correct option is 2187

Total surface area is 2,185.44 square inches.

lateral surface area is 640.56 square inches

Step-by-step explanation:

Given

radius of cylinder = 12 inches

height of cylinder = 17 inches

we will us value of pi as 3.14

surface area for cylinder consist of two part

1. lateral surface area which is gven by $2\pi rl$

where r is radius of cylinder and l is height of cylinder

Thus, lateral surface area for given cylinder is

$2\pi rl\\ =>2* 3.14*12*17\\=> 1281.12$

Thus, lateral surface area for given cylinder is 1281.12 square inches.

_________________________________

second part of surface area is area of two base (upper and lower) of cylinder.

area of base is given by area of circle $\pi r^2$

$area \ of \base = \pi r^2 = 3.14*12^2\\=>area \ of \base = 3.14*144 = 452.16$

This, area of base is for one base of cylinder

since there are 2 base

area of both base will be = 2* area of one base

= 2*452.16 = 904.32.

Thus, area of base is 904.32 sq. in.

_______________________________________

Total surface area of cylinder = area of two base+ lateral surface area of cylinder = 1281.12 square inches + 904.32 square inches

= 2,185.44 square inches.

Thus, total surface area is 2,185.44 square inches.

lateral surface area is 640.56 square inches

but option which is closest to calculated value is 2187.

Thus, correct option is 2187

___________________________________________

Note: this problem can be directly solved using formula

total surface area for cylinder = $2\pi r^2 + 2\pi rl$

5 0

2 years ago

PLS HELPPPP ITS PROB EASY BUT I HAVE SO MANY LATE WORK TO DO:)))

kumpel [21]

Answer:

It’s C

Step-by-step explanation:

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3 years ago

. Laser tag costs $35 per game. The laser tag fans want to play more than 1 game of laser tag. Write an expression to help you f

8_murik_8 [283]

Let x represent the amount of games played.

When x is used, it need to be multiplied by the price ($35).

x(35) = cost in $

Hope this helped :)

3 0

2 years ago