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Serggg [28]
3 years ago
14

A(1)=20

Mathematics
1 answer:
Paladinen [302]3 years ago
3 0

Answer:

-14

Step-by-step explanation:

You've got a(1)=20

a(1) means a(n) when n=1

the sequence is telling you to take the previous value of a(n), which is a(n-1) and subtract 17

then:

a(2) = a(1)-17 = 20 - 17 = 3

a(3) = a(2) - 17 = 3-17 = -14

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Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 18 feet a
Radda [10]

Answer:

5.2%

Step-by-step explanation:

Volume of cylinder= πr²h

In Container A,

D= 18ft, r=18/2=9ft, h=15ft

volume= 22/7 × 9² × 15

= 26730/7 cubic ft.

In Container B,

D=16ft, r= 16/2=8ft, h=18ft

volume= 22/7 × 8² × 18

= 25344/7 cubic ft.

percent of amount of water left in Container A= percent of container A that is full after pumping

Amount of water left in Container A,

26730/7 - 25344/7 = 1386/7

Therefore, % of container A that is full= 1386/7 ÷ 26730/7 × 100

(1386×7×100)/(7×26730)= 5.185

To the nearest tenth= 5.2%

5 0
3 years ago
someone please help me! i’m being timed and if you don’t know it, please don’t guess! thank you in advance
STatiana [176]

Answer:

c=90

a=56

b=34

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find three consecutive integers such that the sum of the first and twice the second is 110 minus three times the third
Serggg [28]

First off, consecutive integer and  can be written as n, n+1 and n+2

(try putting a number in for n if it does not make sense yet)

The sum of the first and twice the second would be n+2(n+1)

So, our equation becomes

n+2(n+1)=110-3(n+2)

n+2n+2=110-3n-6

3n+2=104

6n=102

n=17

so, our three term are 17,18 and 19


7 0
3 years ago
One timer is set to ring every 48 seconds. Another timer is set to ring every 2 minutes 15 seconds. They rang together at 7 p.m.
Levart [38]

Answer:

8:16 p.m.

Step-by-step explanation:

You have to find LCM(a,b), where a=48 seconds and b=95 seconds (2 minutes 15 seconds).

1.

48=2\cdot 24=2\cdot 2\cdot 12=2\cdot 2\cdot 2\cdot 6=2\cdot 2\cdot 2\cdot 2\cdot 3=2^4\cdot 3.

2.

95=5\cdot 19.

3.

LCM(48,95)=2^4\cdot 3\cdot 5\cdot 19=4560\text{ seconds }=76\text{ minutes }=1\text{ hour }16 \text{ minutes. }

If they rang together at 7 p.m, then the next time that the timers will ring together will be after 1 hour 16 minutes that is 8:16 p.m.

4 0
3 years ago
WILL MARK BRAINLIST IF YOU'RE RIGHT AND SHOW YOUR WORK -easy question
Vaselesa [24]

Answer:ok let try this one more time the volume is 1526.04 cm3

and the total surface area is 763.02 cm2

Step-by-step explanation:

6 0
3 years ago
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