Answer:
50.75 seconds
Step-by-step explanation:
0.0145 x 3500 = 50.75 sec
I hope this helps! Have a nice day!
Answer:
The roots are
![x=\frac{1}{6} [3+ i\sqrt{3}]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B6%7D%20%5B3%2B%20i%5Csqrt%7B3%7D%5D)
![x=\frac{1}{6} [3- i\sqrt{3}]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B6%7D%20%5B3-%20i%5Csqrt%7B3%7D%5D)
Step-by-step explanation:
we have
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
Remember that
so
![x=\frac{1}{6} [3\pm i\sqrt{3}]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B6%7D%20%5B3%5Cpm%20i%5Csqrt%7B3%7D%5D)
The roots are
Answer:
2 miles per hour
Step-by-step explanation:
We have to calculate the miles per hour of each person
Formula = Distance in miles/ Time in hours
a) For Pepe
Pepe averaged a speed of 4/5 of a mile in 1/10 of an hour
Hence,
= 4/5 miles / 1/10 hour
= 4/5 miles ÷ 1/10 hour
= 4/5 miles × 10/1 hour
= 8 miles per hour
b) For Paula
Paula averaged 5/6 of a mile in 1/12 of an hour.
Hence,
= 5/6 miles / 1/12 hour
= 5/6 miles ÷ 1/12 hour
= 5/6 miles × 12 hour
= 10 miles per hour
Therefore, In miles per hour, the number of miles Paula ran faster than Pepe is calculated as:
10 miles per hour - 8 miles per hour
= 2 miles per hour
Answer: 0
Step-by-step explanation:
Answer:
128 > 4*(x + 7)
Step-by-step explanation:
Given the following data;
Length = 4 meters
Width = x + 7 meters
Area = 128 m²
Mathematically, the area of a rectangle is given by the formula;
Area of rectangle = length * width
Substituting into the formula, we have;
128 > 4*(x + 7)
128 > 4x + 28
128 - 28 > 4x
100 > 4x
Dividing both sides by 4, we have;
25 > x
