Answer:
Discriminate =17 is positive, two real solutions
Step-by-step explanation:
Answer:
maybe 48
Step-by-step explanation:
it says adam is 12 yrs older so mutiply that by 4
Answer:
r=3 where r is the common ratio
Step-by-step explanation:
The sum of geometric progression for n terms is given by:
, where
is the
first term of the series and r is the common ratio.
Now, according to the question, there are four terms and they form a geometric progression. So sum of four terms is given as
and
.
Also according to the above formula:
![S_{4}=a_{1} ( 1-r^{4})/ 1-r](https://tex.z-dn.net/?f=S_%7B4%7D%3Da_%7B1%7D%20%28%201-r%5E%7B4%7D%29%2F%201-r)
Using the values as given in the question into the above equation we get:
![1+r =1/10 ( 1-r^{4})/ 1-r](https://tex.z-dn.net/?f=1%2Br%20%3D1%2F10%20%28%201-r%5E%7B4%7D%29%2F%201-r)
![(1+r)(1-r)=1/10 ( 1-r^{4})](https://tex.z-dn.net/?f=%281%2Br%29%281-r%29%3D1%2F10%20%28%201-r%5E%7B4%7D%29)
[ Using formula
]
![(1-r^{2})=1/10 ( 1-r^{2})(1+r^{2})](https://tex.z-dn.net/?f=%281-r%5E%7B2%7D%29%3D1%2F10%20%28%201-r%5E%7B2%7D%29%281%2Br%5E%7B2%7D%29)
![10=(1+r^{2})](https://tex.z-dn.net/?f=10%3D%281%2Br%5E%7B2%7D%29)
![10-1=(r^{2})](https://tex.z-dn.net/?f=10-1%3D%28r%5E%7B2%7D%29)
![\sqrt{9}=(r)](https://tex.z-dn.net/?f=%5Csqrt%7B9%7D%3D%28r%29)
which is the required answer.
Answer:
A. 8 gallons
B. Drive by car is $59.4 cheaper than travel by train
Step-by-step explanation:
According to the scenario, given data are as follows,
Total drive = 400 miles
Total drive per gallon = 50 miles
Fuel cost per gallon = $4.45
A. So, Total fuel required to drive 400 miles can be calculated as follows,
Total fuel required = Total drive ÷ Total drive per gallon
By putting value, we get,
Total fuel required = 400 ÷ 50
= 8 gallons
B. Total cost if drive by car = 8 gallons × $4.45 = $35.6
Cost if travel by train = $95
Hence it is clearly shows that drive by car is much cheaper than travel by train.
Cost saved by travel by car = $95 - $35.6 = $59.4
So, drive by car is $59.4 cheaper than travel by train.
The cruising speed of the airplane is equal to 200 m/s.
<u>Given the following data:</u>
- Time =
![\frac{1}{12} \;minute](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D%20%5C%3Bminute)
To calculate the cruising speed of the airplane:
<h3>What is speed?</h3>
Speed can be defined as the distance covered by a physical object per unit of time. Thus, speed can be measured as meter per seconds.
Mathematically, speed is given by this formula;
![Speed = \frac{distance}{time} ](https://tex.z-dn.net/?f=Speed%20%3D%20%5Cfrac%7Bdistance%7D%7Btime%7D%0A%0A%0A)
<u>Conversion:</u>
Distance = 1 kilometer = 1000 meter
Time = ![\frac{1}{12} \times 60 = 5\;seconds](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D%20%5Ctimes%2060%20%3D%205%5C%3Bseconds)
Substituting the given parameters into the formula, we have;
![Speed =\frac{1000}{5}](https://tex.z-dn.net/?f=Speed%20%3D%5Cfrac%7B1000%7D%7B5%7D%20)
Speed = 200 m/s.
Read more on speed here: brainly.com/question/10545161