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anygoal [31]
2 years ago
9

F(t)=-2t+5 f( )=13 please help!!!

Mathematics
1 answer:
3241004551 [841]2 years ago
6 0

Answer:1,p5o

Step-by-step explanation:

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A hairdryer transfers 36,000J in one minute, what is the power rating of the hairdryer?
Verdich [7]

Answer:

1. 600 watts

2. 35640 J

3. 55%

4. 20 J

5. The cost of running the fire is 8p.

Step-by-step explanation:

1. Energy = 36 000 J , t = 1 minute = 60 seconds

Power = \frac{energy}{time}

           = \frac{36000}{60}

          = 600 watts

2. Power = \frac{work done}{time}

⇒ work done = Power × time

                      = 99 × 360

                      = 35640 J

3. Efficiency = (Output / Input) × 100

                    = \frac{55}{100} × 100

                    = 55%

4. Work done = Force × distance

                      = 5 × 4

                      = 20 J

5. Given that 1 KWh cost 2p, Power = 4 KW and time = 4 hours.

  Power = \frac{energy}{time}

Energy = Power × time

            = 4 × 4

           = 16 KWh

The cost of running the fire = \frac{16}{2}

                = 8p

3 0
2 years ago
The volume of a tetrahedron is 1 6 of the volume of a parallelepiped whose sides are formed using the vectors coming out of one
Irina18 [472]

Answer: The volume of the tetrahedron is 2 units.

Step-by-step explanation:

Let A = (1, 1, 1)

B = (1, 5, 5)

C = (2, 2, 1)

The volume of a tetrahedron is given as

V = (1/6)|AB, AC, AD|

Where |AB, AC, AD| is the determinant of the matrix of AB, AC, AD.

We need to determine AB, AC, and AD

Suppose A = (a1, a2, a3)

B = (b1, b2, b3)

C = ( c1, c2, c3)

AB = ( b1 - a1, b2 - a2, b3 - a3)

Similarly for AB, AC, BC, etc.

AB = (1 - 1, 5 - 1, 5 - 1)

= (0, 4, 4)

AC = (1, 0, 2)

AD = (1, 1, 0)

Volume =

(1/6) |0 4 4|

|1 0 2|

|1 1 0|

= (1/6)[0(0 - 2) - 4(0 - 2) + 4(1 - 0)

= (1/6)(0 + 8 - 4)

= (1/6)(12)

V = 12/6 = 2 units

5 0
3 years ago
Craig and Jeff are comparing their plans for downloading songs. Craig pays a monthly fee of $5.50 and then $0.25 per song he dow
Veronika [31]

Answer:

10 songs

Step-by-step explanation:

Let number of songs Craig and Jeff downloaded be s

5.50 + 0.25s = 0.80s

5.50 = 0.55s

s = 10

5 0
2 years ago
Find the 14th term of the geometric sequence 2, 6, 18, ...
-BARSIC- [3]

Answer:

54

Step-by-step explanation:

its a sequence. they are multiplying by 3 each time.

6 0
3 years ago
Can yall please help me answer all these
Anettt [7]
#1 is 60\100 which can be reduced to 3\5
7 0
2 years ago
Read 2 more answers
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