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2 years ago

Please help........................................

Mathematics

1 answer:

Drupady [299]2 years ago

8 0

Solve the equation for both -1 and 1 first.

50(1/2)^-1 = 100

50(1/2)^1 = 25

Now subtract the two answers and divide by 2 ( -1 to 1 is 2)

75/2 = 37.5

Because the answer got smaller from -1 to 1, the change would be negative.

The rate of change would be -37.5

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What is the prime factorization of 240? Question options: 24 · 3 · 7 23 · 3 · 5 24 · 5 23 · 5 · 7 24 · 3 · 5

timama [110]

The prime factorization of 240 is $2^{4}$ . 3 . 5 ⇒ last answer

Step-by-step explanation:

Prime number is the number that has only 2 factors 1 and itself

{2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , ............}

In prime factorization we use only the prime numbers

Ex: The factors of 15 are 1 , 3 , 5 , 15,

Then the prime factors of 15 are 3 and 5 only because they are

prime numbers

So to find the prime factors of a number do that

1. Factorize the number by divide it using prime numbers only

2. Write the number as a product of its prime factors

∵ 240 divisible by first prime number 2

∴ 240 ÷ 2 = 120

∵ 120 ÷ 2 = 60

∵ 60 ÷ 2 = 30

∵ 30 ÷ 2 = 15

- We divided the number by 2 for 4 times

∴ $2^{4}$ is a prime factor of 240

∵ 15 is divisible by prime number 3

∴ 15 ÷ 3 = 5

∴ 3 is a prime factor of 240

∵ 5 is divisible by prime number 5

∴ 5 ÷ 5 = 1

∴ 5 is a prime factor of 240

∴ The prime factors of 240 are $2^{4}$ , 3 , 5

The prime factorization of 240 is $2^{4}$ . 3 . 5

Learn more:

You can learn more about factors in brainly.com/question/5194236

#LearnwithBrainly

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3 years ago

Find all complex solutions of 5x^2+5x+3=0.

oksian1 [2.3K]

Answer:

see explanation

Step-by-step explanation:

5x² + 5x + 3 = 0 ← in standard form

with a = 5 , b = 5 , c = 3

Solve using the quadratic formula

x = $\frac{-b+/-\sqrt{b^2-4ac} }{2a}$

= $\frac{-5+/-\sqrt{5^2-(4(5)(3)} }{2(5)}$

= $\frac{-5+/-\sqrt{25-60} }{10}$

= $\frac{-5+/-\sqrt{-35} }{10}$

= $\frac{-5+/-\sqrt{-1(35)} }{10}$

= $\frac{-5+/-i\sqrt{35} }{10}$

Then

x = $\frac{-5}{10}$ ± $\frac{1}{10}$ i $\sqrt{35}$ , that is

x = - $\frac{1}{2}$ - $\sqrt{x} \frac{1}{10}$ i $\sqrt{35}$ , - $\frac{1}{2}$ + $\frac{1}{10}$ i $\sqrt{35}$

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2 years ago

The table shows the number of cups of water required when cooking different amounts of rice

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Please explain more your question

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2 years ago

A square is made up of an L-shaped region and three transformations of the region. If the perimeter of the square is 40 units, w

Mila [183]

Answer:

20 units

Step-by-step explanation:

This implies that the square can be divided into four equal L-shaped regions. These regions with respect to transformation forms a square.

Perimeter of the square is 40 units. Since a square has equal length of sides, thus each side of the square is 10 units.

Thus, each L-shape region has dimensions; 8 units, 5 units, 5 units and 2 units.

Perimeter of each L-shape region = the addition of the length of each side of the shape

Perimeter of each L-shape region = 8 + 5 + 5 + 2

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The equation of the line in this graph is<br>y= ____ x+____ .<br>

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Explanation:

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2 years ago