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Bingel [31]
3 years ago
12

27. A tank holds 240litres of water. How much water is in the tank when it is full?

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
4 0

Answer:

The answer would be A) 240 litres. This is because the question itself told us beforehand how much the tank can hold, which is 240.

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Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37
Mandarinka [93]

Answer:

The general rule is a_n = -2 - 5(n-1)

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

a_{n} = a_1 + (n-1)d

In which a_1 is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

a_n = a_m + (n-m)d

a3 = -12 and a8 = -37

First we find the common difference. So

a_n = a_m + (n-m)d

a_8 = a_3 + (8-3)d

-37 = -12 + 5d

5d = -25

d = -\frac{25}{5}

d = -5

So

a_n = a_1 - 5(n-1)

Finding the first term:

a_n = a_1 - 5(n-1)

Since a_3 = -12

a_n = a_1 - 5(n-1)

a_3 = a_1 - 5(3-1)

a_1 = a_3 + 10 = -12 + 10 = -2

So the general rule is:

a_n = a_1 - 5(n-1)

a_n = -2 - 5(n-1)

6 0
3 years ago
What is the solution to this equation 1/2n^2+18=0
ololo11 [35]

Answer:

n = ±6 .

Step-by-step explanation:

A quadratic equation is given to us and we need to find out the solution of the given equation . The given equation is ,

\rm\implies -\dfrac{1}{2}n^2+18=0

Subtracting 18 both sides ,

\rm\implies -\dfrac{1}{2}n^2 = -18

Multiplying both sides by -2 ,

\rm\implies -2\times\dfrac{1}{2}n^2 = -2\times -18

On simplyfing , we get ,

\rm\implies n^2= 36

Putting squareroot both sides ,

\rm\implies n= \sqrt{36}

This equals to ,

\rm\implies \boxed{\quad\blue{\rm n =\pm 6 }}

<u>Hence</u><u> the</u><u> </u><u>value</u><u> of</u><u> </u><u>n </u><u>is </u><u>±</u><u>6</u><u> </u><u>.</u>

6 0
3 years ago
Solve the inequality. 3x + 7 &gt; 4x + 2
ankoles [38]
5>x because you can subtract 5 from both sides and 3x from both sides

7 0
3 years ago
Read 2 more answers
At the market, 9 apples cost $4.00. How much does 10 apples cost?
ycow [4]

Answer:

$6.25

Step-by-step explanation:

Each apple is 2.25

6 0
3 years ago
E = {1, 2, 3, 4, 5, 6, 7, 8, 9
statuscvo [17]

Answer:

In the A circle: 1,3,8

In the B circle: 2

In the middle: 4,9

In the outside: 5,6,7

Hope this helps!

4 0
3 years ago
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