Answer:
![log_372 = 3.8928](https://tex.z-dn.net/?f=log_372%20%3D%203.8928)
Step-by-step explanation:
Given
![log_38 = 1.8928](https://tex.z-dn.net/?f=log_38%20%3D%201.8928)
Required
Evaluate ![log_372](https://tex.z-dn.net/?f=log_372)
We have:
![log_372 = log_3(8 *9)](https://tex.z-dn.net/?f=log_372%20%3D%20log_3%288%20%2A9%29)
Apply law of logarithm
![log_372 = log_38 +log_39](https://tex.z-dn.net/?f=log_372%20%3D%20log_38%20%2Blog_39)
Express 9 as 3^2
![log_372 = log_38 +log_33^2](https://tex.z-dn.net/?f=log_372%20%3D%20log_38%20%2Blog_33%5E2)
Evaluate the exponents
![log_372 = log_38 +2log_33](https://tex.z-dn.net/?f=log_372%20%3D%20log_38%20%2B2log_33)
.
So:
![log_372 = log_38 + 2 * 1](https://tex.z-dn.net/?f=log_372%20%3D%20log_38%20%2B%202%20%2A%201)
![log_372 = log_38 + 2](https://tex.z-dn.net/?f=log_372%20%3D%20log_38%20%2B%202)
Substitute ![log_38 = 1.8928](https://tex.z-dn.net/?f=log_38%20%3D%201.8928)
![log_372 = 1.8928 + 2](https://tex.z-dn.net/?f=log_372%20%3D%201.8928%20%2B%202)
![log_372 = 3.8928](https://tex.z-dn.net/?f=log_372%20%3D%203.8928)
This is probably wrong, but from what I know, there are 16 vertices, 24 edges, and 10 faces. I’m not sure if this is wrong, but I did some math and some research, and this is what I got.
The answer is: " 95 km " .
__________________________________________________
Explanation:
__________________________________________________
("airport")
• {Step 1): " 25 km east " •<span>
</span>│===============================> <span>│
</span>• {Step 2): " 40 km west ["of that point"] " ; • │<==========================================│<span>
</span>• {Step 3: [back to airport] = " (40 km − 25 km) " ;
• ("airport").
│=======>│
<span> _________________________________________________
<u> Note</u>: To find "total distance traveled:
" 40 km +</span> (40 km) + (40 km <span>− 25 km) " ;
= </span>" 40 km + (40 km) + (15 km) " ;
= " 40 km + 40 km + (15 km) " ;
= 80 km + 15 km ;
= 95 km .
____________________________________________________
<span>
The answer is: " 95 km <span>" .
</span>____________________________________________________
</span>
I believe this is right..
10/16= x/100
x=62.5%
100%- 62.5%= 37.5%
Answer:
The speed of the cars is ![32 \frac{km}{h}](https://tex.z-dn.net/?f=32%20%5Cfrac%7Bkm%7D%7Bh%7D)
Step-by-step explanation:
First we must first have the clear concept that
or ![s=\frac{d}{t}](https://tex.z-dn.net/?f=s%3D%5Cfrac%7Bd%7D%7Bt%7D)
Our question is the speed of the cars then the variable to clear will be s.
Let's raise the equation for each car taking into account that we have the following data:
Car 1:
,
and ![d_{1}= d_{2}](https://tex.z-dn.net/?f=d_%7B1%7D%3D%20d_%7B2%7D)
Car 1:
,
and ![d_{1}= d_{2}](https://tex.z-dn.net/?f=d_%7B1%7D%3D%20d_%7B2%7D)
The two cars travel the same distance so we will raise the distance formula for each car and then match them.
<em>Car 1</em>
![d_{1}=s_{1}*t_{1}](https://tex.z-dn.net/?f=d_%7B1%7D%3Ds_%7B1%7D%2At_%7B1%7D)
![d_{1}=(s+1)*2](https://tex.z-dn.net/?f=d_%7B1%7D%3D%28s%2B1%29%2A2)
![d_{1}=2s+2](https://tex.z-dn.net/?f=d_%7B1%7D%3D2s%2B2)
<em>Car 2</em>
![d_{2}=s_{2}*t_{2}](https://tex.z-dn.net/?f=d_%7B2%7D%3Ds_%7B2%7D%2At_%7B2%7D)
![d_{2}=(s-10)*3](https://tex.z-dn.net/?f=d_%7B2%7D%3D%28s-10%29%2A3)
![d_{2}=3s.30](https://tex.z-dn.net/?f=d_%7B2%7D%3D3s.30)
![d_{1}=d_{2}](https://tex.z-dn.net/?f=d_%7B1%7D%3Dd_%7B2%7D)
![2s+2=3s-30](https://tex.z-dn.net/?f=2s%2B2%3D3s-30)
![2+30=3s-2s](https://tex.z-dn.net/?f=2%2B30%3D3s-2s)
![32=s](https://tex.z-dn.net/?f=32%3Ds)
The speed of the cars is 32 km/hr