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1 year ago

9 pipes can fill a tank in 4 hours. How long will it take if there are 12 pipes of same

Mathematics

1 answer:

Rufina [12.5K]1 year ago

7 0

Answer:

3 hours

Step-by-step explanation:

9 pipes/4 hours= 3 pipes/1 hour

The rate the pipes fill a tank will change by 1 hour as there are 3 more pipes.

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Ok so I wanted to make sure my math was correct Is 274.43 - 20.46 - 25.89 = 228.08

romanna [79]

<h2>yes you are absolutely correct.... </h2>

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5 0

2 years ago

Read 2 more answers

given the recursive formula for a geometric sequence find the common ratio the 8th term and the explicit formula.did I set these

lesya [120]

Answer:

Step-by-step explanation:

1)Since we know that recursive formula of the geometric sequence is

$a_{n}=a_{n-1}*r$

so comparing it with the given recursive formula $a_{n}=a_{n-1}*-4$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=-2*(-4)^{7} =32768.$

Explicit Formula = $-2*(-4)^{n-1}$

2) Comparing the given recursive formula $a_{n}=a_{n-1}*-2$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-2

8th term= $a_{1}*(r)^{n-1}=-4*(-2)^{7} =512.$

Explicit Formula = $-4*(-2)^{n-1}$

3)Comparing the given recursive formula $a_{n}=a_{n-1}*3$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =3

8th term= $a_{1}*(r)^{n-1}=-1*(3)^{7} =-2187.$

Explicit Formula = $-1*(3)^{n-1}$

4)Comparing the given recursive formula $a_{n}=a_{n-1}*-4$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=3*(-4)^{7} =-49152.$

Explicit Formula = $3*(-4)^{n-1}$

5)Comparing the given recursive formula $a_{n}=a_{n-1}*-4$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-4

8th term= $a_{1}*(r)^{n-1}=-4*(-4)^{7} =65536.$

Explicit Formula = $-4*(-4)^{n-1}$

6)Comparing the given recursive formula $a_{n}=a_{n-1}*-2$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-2

8th term= $a_{1}*(r)^{n-1}=3*(-2)^{7} =-384.$

Explicit Formula = $3*(-2)^{n-1}$

7)Comparing the given recursive formula $a_{n}=a_{n-1}*-5$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-5

8th term= $a_{1}*(r)^{n-1}=4*(-5)^{7} =-312500.$

Explicit Formula = $4*(-5)^{n-1}$

8)Comparing the given recursive formula $a_{n}=a_{n-1}*-5$

with standard recursive formula $a_{n}=a_{n-1}*r$

we get common ratio =-5

8th term= $a_{1}*(r)^{n-1}=2*(-5)^{7} =-156250.$

Explicit Formula = $2*(-5)^{n-1}$

6 0

2 years ago

Write v = 2x2 + 12x +1 in vertex form.

Savatey [412]

Answer:

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

y = 2x² + 12x + 1

To express in vertex form use the method of completing the square.

The coefficient of the x² term must be 1 , thus factor out 2 from 2x² + 12x

y = 2(x² + 6x) + 1

add/ subtract ( half the coefficient of the x- term)² to x² + 6x

y = 2(x² + 2(3)x + 9 - 9) + 1

= 2(x + 3)² - 18 + 1

= 2(x + 3)² - 17 → C

6 0

2 years ago

Read 2 more answers

Pleaseee helppppp!!!!!!!!!

Andre45 [30]

Answer:

Step-by-step explanation:

the total angle is 89 and we are also give two of the parts

89-30-44=15°

3 0

1 year ago

There are 100m of ribbon. 1 1/2m are needed to make a bouquet. How man can be made? How many m of ribbon are left over ?

Umnica [9.8K]

Answer:

66 can be made

1m left

Step-by-step explanation:

$100 \div 1.5 = 66.667(5s.f.)$

Ribbons that can be made= 66

$66 \times 1.5 = 99m$

length used= 99m

length remaining= 100m- 99m= 1m

8 0

2 years ago