Answer:
$1.5
Step-by-step explanation:
Lets us first calculate energy consumed by TV in 30 days.
Energy consumed by TV in one hour : 250 watts.
TV operated 2 hours a day
so energy consumer by TV in a day = 250 * 2 watts = 500 watts hour
Energy consumed by TV in 30 day = energy consumer by TV in a day * 30
= 500*30 watts = 15,000 watt-hour
Convert total energy consumed in kilo watt hour
we know that one kilowatt hour = 1000 watt-hour
Thus, 15,000 watt-hour = 15,000/1000 kilowatt-hour = 15 kilowatt-hour
________________________________
cost of electricity = 10 cents per kilowatt-hour
cost of electricity for 15 kilowatt-hour = 15* cost of electricity for one kilowatt-hour( which is 10 cents)
=>15*10 = 150 cents
As $1 = 100 cents
hence 150 cents = $150/100 = $1.5 .
Thus, it cost $1.5 to to operate for a month of 30 days.
9514 1404 393
Answer:
- 13 ft
- (a) 1 second; (b) t = 0, t = 1/2
Step-by-step explanation:
<h3>1. </h3>
Let w represent the length of the wire. Then the height of attachment is (w-1). The Pythagorean theorem tells us a relevant relation is ...
5² +(w -1)² = w²
w² -2w +26 = w² . . . . . . . eliminate parentheses, collect terms
26 = 2w . . . . . . . . . . . . add 2w
13 = w . . . . . . . . . . . . divide by 2
The length of the wire is 13 feet.
__
<h3>2. </h3>
(a) When h = 0, the equation is ...
0 = -16t^2 +8t +8
Dividing by -8 puts this into standard form:
2t^2 -t -1 = 0
Factoring, we get ...
(2t +1)(t -1) = 0
The positive value of t that makes a factor zero is t = 1.
It will take 1 second for the gymnast to reach the ground.
__
(b) When h = 8, the equation is ...
8 = -16t^2 +8t +8
Subtract 8 and divide by 8 to get ...
0 = -2t^2 +t
0 = t(1 -2t) . . . . factor out t
Values of t that make the factors zero are ...
t = 0
t = 1/2
The gymnast will be 8 feet above the ground at the start of the dismount, and 1/2 second later.
Answer:
Step-by-step explanation:

The numerator of the rational expression the money he earned for 'x' hours
The rate at which William is paid for each hour in excess of 40 hours 24.
x = 50 hours = (40 + 10 ) hours
The amount paid for excess 10 hours = 24 *10 = 240
Total amount earned for the week = 480 + 240 = 720
The average of 4, 9, 16, 25 and x is 2x means that;
(4+9+16+25+x)/5=2x
Multiply both side by 5
5(54+x)/5=2x(5)
54+x=10x
Subtract x to both side
54+x-x=10x-x
54=9x
Divided 9 to both side
54/9=9x/9
x=6
Check:
Substitute x with 6
(4+9+16+25+x)/5=2x
(4+9+16+25+6)/5=2(6)
60/5=12
12=12; so x=6 which marks B as the correct answer. Have a nice day!
235/4 equals 58.75
Hope this helps!