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marshall27 [118]
3 years ago
13

Point C is on line segment BD . Given CD = 4 and BC = 13 determine length BD

Mathematics
1 answer:
irina [24]3 years ago
5 0

Answer:

Step-by-step explanation:

BD=BC+CD

BD=13+4=17

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Sarah opens a small bag of chocolate candies and notices that out of 210 candies, 63 are brown. She assumes the color breakdown
mezya [45]

Answer:

1440

Step-by-step explanation:

We can solve this problem by applying the rule of three.

In fact, we know that:

- Over a package of 210 candies,

- The number of brown candies is 63

- Here we want to find what is the number of brown candies when the total number of candies contained in the package is 4800

So we can set up the following rule of three:

\frac{x}{4800}=\frac{63}{210}

where

x = number of brown candies when the total number of candies contained in the package is 4800

Solving the expression for x, we find:

x=\frac{63}{210}\cdot 4800 =1440

So, Sarah can expect to find 1440 brown candies in a package of 4800 pieces.

7 0
3 years ago
part b is: if the energy release of one earthquake is 10,000 times that of another, how much larger is the Richter scale reading
kotegsom [21]

You could use the information from part A to get B. I'm not sure if you want A or not, so I'll do it as well.

A

Eo = 10^4.4 Joules

E = 2 * 10^15

Formula

M = (2/3) log (E/Eo)

M = 2/3 * log (2 * 10^15/10^(4.4) )

M = 2/3 * log( 7.9621* 10^10)

M = 2/3 * 10.901

M = 7.26735 on the Richter scale. That is a huge amount of energy.

Part B

Suppose that you use Eo and your base. Eo is 10^4.4

Now the new earthquake is E = 10000 * Eo

So what you get now is M = (2/3)* Log(10000 * Eo / Eo )

The Eo's cancel out.

M = 2/3 * log(10000)

M = 2/3 of 4

M = 8/3

M = 2.6667 difference in the Richter Scale Reading. It is still an awful lot of energy.

What this tells you is that if the original reading was (say) 6 then the 10000 times bigger reading would 8.266667

Answer: M = 2.6667


8 0
3 years ago
Read 2 more answers
Who knows how to do this ughhh I need help!
suter [353]

Answer:

\large\boxed{\sqrt{56x^{17}}=2x^8\sqrt{14x}}

Step-by-step explanation:

Domain:\ x\geq0\\\\\sqrt{56x^{17}}=\sqrt{4\cdot14\cdot x^{16+1}}\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\sqrt{4\cdot14\cdot x^{16}\cdot x^1}\\\\\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt4\cdot\sqrt{14}\cdot\sqrt{x^{16}}\cdot\sqrt{x}=2\cdot\sqrt{14}\cdot\sqrt{x^{8\cdot2}}\cdot\sqrt{x}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=2\cdot\sqrt{14}\cdot\sqrt{(x^8)^2}\cdot\sqrt{x}\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=2\cdot\sqrt{14}\cdot x^8\cdot\sqrt{x}=2x^8\sqrt{14x}

8 0
3 years ago
4 x 5 - (2² - 2) =? <br> (18 ÷ 3) + (3² - 7) =?
OverLord2011 [107]
4x5-(2 (2) - 2 ) = 14
(18/ 3) + (3 (2) - 7) 8
7 0
2 years ago
Kalvin sells bottles of water at baseball games he pays 0.75 per bottle and 3.78 for the ice to keep cold let b represent the nu
sergij07 [2.7K]

Answer:

3.78+.75b=c

Step-by-step explanation:

7 0
3 years ago
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