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3 years ago

Can someone help me with this pattern:

Mathematics

1 answer:

Reika [66]3 years ago

5 0

Answer:

256

Step-by-step explanation:

Rule:*4

1*4=4

4*4=16

16*4=64

64*4=256

I hope this helps!

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A scientist estimated that a mixture would need 5 millimeters of a chemical to balance. The actual amount d was 7 millimeters. W

Travka [436]

Answer:

29%

Step-by-step explanation:

If 7 is 100% correct then 5 would only be a portion of it

So you need to divide 5 by 7

So 5 divided by 7 is .714 or .71

this means the error was 29%

3 0

3 years ago

How many birds fly south every year?

Paraphin [41]

Answer:

I believe it is 4 billion

Step-by-step explanation:

Hope I helped!

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3 years ago

For a history fair, a school is building a circular wooden stage that will stand 2 feet off the ground. Find the area of the sta

IrinaK [193]

Answer:

roughly 452.16 feet squared

Step-by-step explanation:

7 0

4 years ago

A triangle has sides of lengths 4, 3, and 5. Is it a right triangle? Explain.

vlada-n [284]

Answer:

yes; 4² + 3² = 5²

Step-by-step explanation:

Pythagorean theorem.

In a right triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. Hypotenuse is the longest side of the triangle.

4² + 3² = 5²

16 + 9 = 25

25 = 25

7 0

4 years ago

Solve each quadratic equation by completing the square. Give exact answers--no decimals.

alexandr1967 [171]

Answer:

$x_1= -3+4(\sqrt{2})i\\\\x_2 = -3-4(\sqrt{2})i$

Step-by-step explanation:

In this problem we have the equation of the following quadratic equation and we want to solve it using the method of square completion:

$x ^ 2 + 6x +41 = 0$

The steps are shown below:

For any equation of the form: $ax ^ 2 + bx + c = 0$

1. If the coefficient a is different from 1, then take a as a common factor.

In this case $a = 1$ . Then we go directly to step 2

2. Take the coefficient b that accompanies the variable x. In this case the coefficient is 6. Then, divide by 2 and the result squared it.

We have:

$\frac{6}{2} = 2$

$(\frac{6}{2}) ^ 2 = 9$

3. Add the term obtained in the previous step on both sides of equality

$x ^ 2 + 6x + 9 = -41 +9$

4. Factor the resulting expression, and you will get:

$(x + 3) ^ 2 =-32$

Now solve the equation:

Note that the term $(x + 3) ^ 2$ is always > 0 therefore it can not be equal to -32.

The equation has no solution in real numbers.

In the same way we can find the complex roots:

$(x + 3) ^ 2 = -32\\\\(x + 3) = \±\sqrt{-32}\\\\x = -3 \± \sqrt{-32}\\\\x = -3 \± 4(\sqrt{2})i\\\\x_1= -3+4(\sqrt{2})i\\\\x_2 = -3-4(\sqrt{2})i$

6 0

3 years ago

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