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Semenov [28]
2 years ago
7

The nth term of a sequence is given by 12 - 5n. Write down the first 3 terms of the sequence.

Mathematics
1 answer:
zysi [14]2 years ago
6 0

Answer:

              \bold{a_1=7\,,\quad a_2=2\,,\quad a_3=-3}

Step-by-step explanation:

                                      a_n=12-5n\\\\\\a_1=12-5\cdot1=12-5=7\\\\a_2=12-5\cdot2=12-10=2\\\\a_3=12-5\cdot3=12-15=-3

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Need help with 2 and 3 ASAP PLEASE SHOW WORK it’s due soon please
Deffense [45]

Answer:

The volume of the cone is 25.13, the other one is 167.55

Step-by-step explanation:

v = 1/3pi(2)^2(6)

simplify and divide the above.

v = 25.13

1/3pi(4)^2(10)

= 167.55

4 0
3 years ago
It takes a hose 2 minutes to fill a rectangular aquarium 12 inches long, 13 inches wide, and 14 inches tall. How long will it ta
rusak2 [61]

Volume of the first aquarium =  (12" x 13" x 14") = 2,184 inches³

Volume of the second aquarium = (32" x 34" x 35") = 38,080 inches³

The second aquarium has (38,080 / 2,184) = 17.44 times as much
volume as the first aquarium has.

So it'll take the hose  17.44 times as long to fill the second one

                              =  (17.44) x (2 minutes)  =  34.9 minutes.
8 0
3 years ago
Number of Gallons 2 4 x
Travka [436]

Answer:

The value of x is 8 gallon.

Step-by-step explanation:

Given a table  showing approximate conversion from gallons to liters.

Number of Gallons    2      4      x

Number of Liters      7.6  15.2  30.4

We are required to find value of x,

Given : 2 gallon is equal to 7.6 liters.

⇒  1 liter is equal to \frac{2}{7.6}=0.263 liters. ........(1)

given, x gallon equal to 30.4 liters.

⇒ 1 liter is equal to \frac{x}{30.4} liters.  .........(2)

from (1) and (2),

⇒  0.263=\frac{x}{30.4}

Solving for x, we get,

⇒  0.263 \times 30.4=x

⇒  7.9952=x

Approximately x = 8

Thus, the value of x is 8 gallon.

8 0
3 years ago
Please help me!!!!!!!!!!!!!!!!!!!!!!!!
romanna [79]

Answer:

a. 81.9

b. 144.7

c. 110.2

d. 48

Step-by-step explanation:

a. 120/109.2 = 90/x

x = 81.9

b. 45.6/120 = 55/x

x = 144.7

c. 304.8/96 = 350/x

x = 110.2

d. 109.2/45.6 = 115/x

x = 48

5 0
3 years ago
50% of all the cakes Lucy bakes that week were party cakes: one fifth were fruit cakes and the remainder were sponge cakes. What
dusya [7]
50% is equal to 5/10 so 5/10 were party cakes 1/5x2=2/10 so 2/10 were fruit cakes 5/10+2/10=7/10 so 10/10 which is 100% of all cakes 10/10-7/10=3/10 so 3/10 of the cakes were sponge cakes.
7 0
3 years ago
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