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ki77a [65]
2 years ago
11

How long will a 100 litre bath run if the water is running at a rate of 12 litres per minute

Mathematics
1 answer:
abruzzese [7]2 years ago
4 0
The answer to this question is 8.3L as you divide 100 by 12
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Solve the following formula for V0.<br> a=V1−V0t
larisa86 [58]
The answer is B hope it helped
4 0
3 years ago
the graph shows the first five terms in a geometric sequence what is the iterative rule for the sequence​
algol [13]

The iterative rule for the sequence is a_n = 8 · ( 0.5 )ⁿ ⁻ ¹

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

\boxed{T_n = a + (n-1)d}

\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>d = common difference between adjacent numbers</em>

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

\boxed{T_n = a ~ r^{n-1}}

\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>r = common ratio between adjacent numbers</em>

Let us now tackle the problem!

<u>Given:</u>

a₁ = 8

a₂ = 4

a₃ = 2

a₄ = 1

<u>Solution:</u>

<em>Firstly , we find the ratio by following formula:</em>

r = a_2 \div a_1 = 4 \div 8 = 0.5

\texttt{ }

<em>The iterative rule for the sequence:</em>

a_n = a_1 \cdot~ r^{n-1}

a_n = 8 \cdot~ (0.5)^{n-1}

\texttt{ }

<h3>Learn more</h3>
  • Geometric Series : brainly.com/question/4520950
  • Arithmetic Progression : brainly.com/question/2966265
  • Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

6 0
3 years ago
At a bake sale for every 8 cupcakes sold you earn 5.00. If u made 45 how many cupcakes did you sell?
grandymaker [24]
45 divided by 5 is 9 and 9 times 8 is 72 so the answer is 72.
3 0
3 years ago
What is the area of a circle with a radius of 1 foot?<br> *Ht2<br> 2***<br> seft<br> 2 x ft?
Svetach [21]

Answer:

pi

Step-by-step explanation:

5 0
3 years ago
In Neil's city, the temperature is 72.6 degrees and is rising 1.3 degrees each hour. In Sheppard's city, the temperature is 80.4
klio [65]

Answer:

2.5 hours

Step-by-step explanation:

Given that :

Temperature in Neil's city :

72.6° and rising by 1.3° per hour

Temperature in Sheppard's city :

80.4° and dropping by 1.82° per hour

In how many hours will the temperature in Neil's city be no less than the temperature in Sheppard's city

Let number of hours = h

Hence, Neil city :

72.6 + 1.3h

Sheppard city:

80.4 - 1.82h

72.6 + 1.3h ≥ 80.4 - 1.82h

1.3h + 1.82h ≥ 80.4 - 72.6

3.12h ≥ 7.8

h ≥ 2.5

Two and half hours (2 hours 30 minutes)

8 0
3 years ago
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