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RoseWind [281]
3 years ago
15

Help with this please

Mathematics
1 answer:
SVEN [57.7K]3 years ago
5 0

Answer:

1. 26:5 or  

\frac{26}{5} or

5.2 as a decimal

2. 21:26 or  

\frac{21}{26} or

0.81 as a decimal

3. 21:5 or  

\frac{21}{5} or

4.2 as a decimal

4. 5:21 or  

\frac{5}{21} or

0.24 as a decimal

Step-by-step explanation:

A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.  

To write a ratio, we count the number of each quantity we are comparing. A part to whole ratio for letters and vowels would be the part compared to the whole. For example, there are 21 consonants to 26 letters in the alphabet. We write 21:26 or \frac{21}{26} or 0.81. We can also compare the number of vowels which is 5:26 or

A part to part ration compares a part to a part like the number of consonants is 21 with the number of vowels is 5. We write the ratio as consonants : vowels.  

21:5 or  

\frac{21}{5} or

4.2 as a decimal.  

We can reverse and write vowels : consonants.

5:21 or  

\frac{5}{21} or

0.24 as a decimal.  


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5x3 + 14x2 + 9x <br> help
Cerrena [4.2K]
<h3>Answer:    x(x+1)(5x+9) </h3>

===================================================

Work Shown:

5x^3 + 14x^2 + 9x

x( 5x^2 + 14x + 9 )

To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.

A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(14)\pm\sqrt{(14)^2-4(5)(9)}}{2(5)}\\\\x = \frac{-14\pm\sqrt{16}}{10}\\\\x = \frac{-14\pm4}{10}\\\\x = \frac{-14+4}{10} \ \text{ or } \ x = \frac{-14-4}{10}\\\\x = \frac{-10}{10} \ \text{ or } \ x = \frac{-18}{10}\\\\x = -1 \ \text{ or } \ x = \frac{-9}{5}\\\\

Then use those two solutions to find the factorization

x = -1  or  x = -9/5

x+1 = 0  or  5x = -9

x+1 = 0  or  5x+9 = 0

(x+1)(5x+9) = 0

So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)

-----------

Overall,

5x^3 + 14x^2 + 9x

factors to

x(x+1)(5x+9)

6 0
3 years ago
For a certain experiment, the available experimental units are 12 people—six females (f) and six males (m). Use (1f, 2f, 3f, 4f,
Kryger [21]

Answer:

I believe the correct answer would be the last one.

Step-by-step explanation:

The units are supposed to be blocked by gender. However, the first two units in the final option are blocked with two females in one group, and two males in the next. This is inconsistent with the blocking method used for the rest of the units.

6 0
3 years ago
Write this as a power of 2. ex ( 2^n) requires knowledge of negative exponents
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Answer:

<h3>22.627417</h3>

Step-by-step explanation:

\frac{32}{ \sqrt[8]{16} }  \\

Simplify

\frac{32}{1.414213562}  \\   \\ = 22.627417

Method 2 :

By rationalizing the denominator

7 0
3 years ago
50 points hdhfskjdhsddjjdhj
NikAS [45]

Thank you very much UwU

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