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Brut [27]
3 years ago
12

The density of a fish tank is 0.5 fish over feet cubed . There are 30 fish in the tank. What is the volume of the tank? (1 point

) 60 ft3 120 ft3 6 ft3 15 ft3
Mathematics
1 answer:
erastovalidia [21]3 years ago
7 0

The correct option is :  60 ft^3

<u><em>Explanation</em></u>

Suppose, the volume of the fish tank is V ft³

The density of the fish tank is 0.5 fish/ft³. It means, <u>the number of fish in 1 ft³ volume is 0.5</u>

So, the number of fish in V ft³ volume will be: 0.5V

Given that, there are 30 fish in the tank. So, the equation will be......

0.5V=30\\ \\ V=\frac{30}{0.5}=60

Thus, the volume of the tank is 60 ft³

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Lana71 [14]

An arithmetic sequence is a sequence with a constant

<span> increase or decrease also known as the </span>constant difference

In the sequence 10, 40, 70, 100, ….

The constant difference between the terms is 30

A recursive formula for a sequence would be:

a1= first term in the sequence

an = term you are trying to find

an-1 = previous term in the sequence

d = constant difference

Explicit Formulas: 

A formula that allows you to find the nth term of the sequence by substituting known values in the expression.

Formula : an = a1 + d( n - 1)

a1= first term in the sequence

an = current term in the sequence

d = constant difference

n = term number

Solution: 

<span>Write the explicit formula of the sequence 4, 7, 10, 13, 16 ….</span>

Formula for explicit term:

an = ___ + ___( n - 1)

Simplify: an = ___ + ___n

In the sequence 4, 7, 10, 13, ….

To find the 11th<span> term explicitly, I plug in the into the formula I just made:  </span>

an = 1 + 3n

a11<span> = 1 + 3(11)  </span> 

a11<span> = 34  </span>

Find the 15th term of the sequence using the formula: an = 1 + 3n

Write the recursive formula of the sequence 4, 7, 10, 13, ….

Recursive formula:

a1 =

an = a  n  - 1

In the sequence 4, 7, 10, 13, 16 ….

To find the 5th<span> term recursively, I plug it into the formula I just made:  </span>

<span>  a</span>n = an-1 + 3

a5 = a5-1<span> + 3   in words: 5</span>th<span>  term equals the 4</span>th term plus 3

a5<span> = 13 + 3  </span>

a5<span> = 16   </span>

Recursive and Explicit Formulas for Arithmetic (Linear) Sequences


8 0
3 years ago
Find the value of x<br> need help asap pls<br> will give brainliest
Ahat [919]

Answer: 10

Step-by-step explanation:

5 0
2 years ago
The ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juices. If there a
EleoNora [17]

Answer: There are 180 grape juice in the store

Step-by-step explanation:

The ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juice which can be expressed as 5:4

Total number of containers = 405

total ratio = 4+5 =9

The number of containers that are orange juice  = 5/9 x 405

=5 x 45=225

The number of containers that are grape juice will now be = 4/9 x 405

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6 0
3 years ago
Given that a♥b =
kogti [31]
<span>First of all, write these in a way people can read them in the future. Don't make it so hard to help you.

Secondly:

Given that a♥b = 2a(32− b)

If a♥b = −23, solve for b in terms of a.

A) b = 16a + 32
B) b = 13a + 32
C) b = 12a + 32
D) b = 16a − 32

</span>-23 = 2a(32− b),  devide both sides by 2a -23/2a = 32 - b, subtract 32 from both sides -23/2a - 32 = -b, multiply both sides by -1  23/2a + 32 = b

verified:
b = 23/2a + 32 
-23 = 2a(32 − (23/2a + 32))
-23 = 2a(32 -23/2a -32)
-23 = 2a(-23/2a)
-23 = -23

Are you sure you copied this correctly?




4 0
3 years ago
The distance between the two points pictured is d = use the distance formula to find n. d = startroot (x 2 minus x 1) squared (y
Ganezh [65]

The distance between the two points pictured will be \sqrt{61}.

<h3>What is the distance between the two points?</h3>

The length of the line segment connecting two places is the distance between them.

The distance between two places is always positive, and equal-length segments are referred to as congruent segments.

The given coordinate in the problem is;

(x₁,y₁)= (-3,-2)

(x₂,y₂)=(2,4)

The distance between the two points is found as;

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Hence the distance between the two points pictured will be \sqrt{61}.

To learn more about the distance between the two points refer to;

brainly.com/question/16410393

3 0
2 years ago
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