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My name is Ann [436]
3 years ago
5

5^=1 ÷ 652 tell the answer

Mathematics
2 answers:
vodomira [7]3 years ago
8 0

Answer:

n=-4

Step-by-step explanation:

Note: It is not given what to find so that i am finding the value of n

Given :

5^{n} =\frac{1}{625} \\5^n=\frac{1}{5^4} \\5^n=5^{-4} \\So,\\n=-4

Therefore,

n=-4

JulsSmile [24]3 years ago
4 0

Answer:

n = - 4

Step-by-step explanation:

note that 625 = 5^{4} , then

5^{n} = \frac{1}{5^{4} } = 5^{-4}

Since the bases on both sides are equal, both 5 then equate the exponents

n = - 4

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umka2103 [35]

Answer:

3

Step-by-step explanation:

4 0
2 years ago
Which term has the definition "A fraction when the top and bottom cannot be any smaller, while still being whole numbers"? Group
soldi70 [24.7K]

Answer:

simplest form

Step-by-step explanation:

Simplest form is a method of converting the fraction to its lowest multiple.

For example, the fraction 25/100 isn't in its simplest form

Both the numerator and the denominator can be divided by 5. When divided by 5 the fraction becomes 5/20.

5/20 is still not in its simplest form because it can be divided by 5. When divided by 5, the fraction becomes 1/4.

1/4 is now in its simplest form because both the numerator and denominator cannot be divided by any other number

4 0
3 years ago
Which two lines are parallel<br> 3x+y=-2<br> 2y-6x=4<br> 2y=-6x-8
Brrunno [24]
To start, solve each equation for y.
1st equation) 3x+y=-2, subtract 3x, y=-3x-2
2nd equation) 2y-6x=4, add 6x, 2y=6x+4, divide by 2, y=3x+2
3rd equation) 2y=-6x-8, divide by 2, y=-3x-4
Now, for lines to be parallel, their slope must be the same. Using the equation y=mx+b where m is slope, you can determine the slope of each line.
1st line) y=-3x-2, slope of -3
2nd line) y=3x+2, slope of 3
3rd line) y=-3x-4, slope of -3
Comparing these lines, you can see that only lines 1 and 3 have the same slope, making those your parallel lines.
5 0
3 years ago
The number of fruit flies in a population doubles everyday. Everett collected 6 fruit flies for an experiment. After a certain n
Mandarinka [93]

Answer: So, our required linear equation will be

6\times 2^{x-1}=48

Explanation:

Since we have given that

the number of fruit flies = 6

According to question, we have that the number of fruit flies in a population doubles everyday,

it becomes geometric progression, as it rises with common ratio, i.e.

6,12,24.......

Let the number of days be x

so, our required equation becomes ,

ar^{x-1}=48\\\\6\times 2^{x-1}=48\\\\2^{x-1}=\frac{48}{6}\\\\2^{x-1}=8\\\\2^{x-1}=2^3\\\\x-1=3\\\\x=4

So, our required equation will be

6\times 2^{x-1}=48

7 0
3 years ago
The two rectangular prisms are similar. What is the volume of the larger rectangular prism? 240 cm³ 540 cm³ 1620 cm³ 3240 cm³ A
Andreas93 [3]

Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³

<h3>How to calculate volume of a rectangular prism?</h3>

If a rectangular prism has dimensions <u>a</u> unit, <u>b</u> unit, and <u>c</u> units, then its volume is given as

V = a \times b \times c \: \rm unit^3

<h3>What are similar figures?</h3>

They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.

For example,

if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then

the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and  c x d units.

For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,

60 \: \rm cm^3 = 5\times b\times c \\\\b\times c = \dfrac{60}{5} = 12

Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).

Thus, its dimensions would be 15, 3 x b, 3 x c

Thus, its volume would be

15 \times 3 \times b \times 3 \times c = 135 \times  b\times c = 135 \times 12 = 1620 \: \rm cm^3

Thus,

The volume of the larger rectangular prism is given as: Option C: 1620 cm³

Learn more about volume of rectangular prism here:

brainly.com/question/21308574

5 0
3 years ago
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