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sineoko [7]
3 years ago
9

Help me ASAP it is 4 a grade!!!!!

Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0
524 cm cubed
Explanation: 4/3 x pi x 5cubed = 523.599cm cubed rounded to 524cm cubed
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Perform the indicated operation and write the result in the form a+bi:<br><br> (4/7 - i)(8/7 + 7/5i)
aivan3 [116]

We will apply the "FOIL" method for multiplying two binomials. In this method you will:

  1. Multiply the First terms of each binomial
  2. Multiply the Outside terms of each binomial
  3. Multiply the Inside terms of each binomial
  4. Multiply the Last terms of each binomial
  5. Add all of the new terms you have just found together

The mathematical representation of the FOIL method is shown as:

(a + b)(c + d) = ac + ad + bc + bd


Let's apply the FOIL method.

  1. The first two terms of each binomial are \frac{4}{7} and \frac{8}{7}. Multiplied together, we find the new term of \frac{4}{7} \cdot \frac{8}{7} = \frac{4 \cdot 8}{7 \cdot 7} = \frac{32}{49}.
  2. The outside two terms are \frac{4}{7} and \frac{7}{5} i. Multiplied together, these two terms are \frac{4}{7} \cdot \frac{7}{5}i = \frac{4 \cdot 7}{7 \cdot 5}i = \frac{28}{35}i.
  3. The inside two terms are -i and \frac{8}{7}. Multiplied together, these two terms are - \frac{8}{7} i.
  4. The last two terms are -i and \frac{7}{5} i. Multiplied together, these two terms are -i \cdot \frac{7}{5}i = -\frac{7}{5} i^2. Remember though that i^2 = 1, so our new term is actually \frac{7}{5}.
  5. Added together, we get: \frac{32}{49} + \frac{28}{35} i - \frac{8}{7} i + \frac{7}{5} = \frac{160}{245} + \frac{196}{245}i - \frac{280}{245}i + \frac{343}{245} = \frac{503}{245} - \frac{84}{245} i = \frac{503}{245} - \frac{12}{35}i.

Our final answer is \boxed{\frac{503}{245} - \frac{12}{35}i}.

7 0
3 years ago
Please help I will give as much points as I can and brainliest
lubasha [3.4K]
You would times 2/15 by 3. Then getting 6/15, simplify the fraction by dividing both numbers by 3. You would finally get 2/5 which is C. Hope this helps!
8 0
3 years ago
What is 2 (x-3) -(6x-4)
docker41 [41]

Answer:

simplify = - 4 x -2  factored = 2 (-2x - 1)

Step-by-step explanation:

5 0
3 years ago
Select the correct text in the table. Use the fundamental theorem of algebra to determine whether each statement is sometimes tr
yan [13]

Answer:

1. Sometimes

2. Sometimes

3. Always

4. Sometimes

Step-by-step explanation:

1. Quadratic function : in which maximum power of x is two.

The roots of quadratic function can be either equal or different.

For example:

  • x^{2} -2x+1 will have two equal roots i.e. 1 and 1.
  • x^{2} -3x+2 will have two different roots i.e. 1 and 2.

So, <em>sometimes </em>is the correct answer.

2. Cubic function has atleast 1 real root.

Cubic function has maximum power of x as 3.

If the coefficients are real numbers then atleast 1 real root.

If the coefficients are imaginary in nature, then this is not true.

For example:

Cubic equation x^3 +i = 0 does not have any real root.

Cubic equation x^3 +1 = 0 has a real root x = -1.

So, it is sometimes true.

3. A function with degree 5 i.e. maximum power of x as 5 will have 5 roots.

It is always true that a function will have number of roots equal to its degree.

4. Quadratic function can have only 1 complex solution.

Two complex solutions are also possible for a quadratic function.

For example:

x^{2} +1=0 will have two imaginary roots: x=i, -i

It is also possible to have 1 complex solution,

For example:

(x-1)(x-i) = 0 will have one complex root and one real root.

So, the statement is <em>sometimes </em>true.

5 0
3 years ago
Read 2 more answers
A hiker travels 6 mph, which is 3/11 the rate of a cyclist. Suppose the cyclist is following behind the hiker. How fast does the
FinnZ [79.3K]

How fast the distance between them decrease is 16mph

<h3>How to calculate the speed of an object?</h3>

Given the following parameters

Speed of the hiker = 6mph

If is it 3/11 the rate of a cyclist, then the rate of the cyclist will be:

6 = 3x/11
3x = 66

x = 22mph

Distance between them  = 22 - 6

Distance between them = 16mph

Hence how fast the distance between them decreases is 16mph

Learn more on speed here: brainly.com/question/4931057

4 0
2 years ago
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