Answer:
Step-by-step explanation:
We are given that a license plate consist of 5 digits and 5 uppercase letters
Digits used=0,1,2,..9
Total number of letters=26
Repetition is not allowed
Total number of odd digits=(1,3,5,7,9)=5
The first place filled by 5
Second place filled by 4
Third place filled by 8
Fourth place filled by 7
Fifth place filled by 6
Sixth place filled by 26
Seventh place filled by 25
Eighth place filled by 24
Ninth place filled by 23
Tenth place filled by 22
Total number of possible different license plates =
=
Answer:
B
Step-by-step explanation:
essentially the plan that increases the price the most per week reaches the goal of $12 fastest.
plan A is $0.10 per week.
plan B it is not clear, if it means 10% of the original price every week, or every week 10% of the price of the previous week. I assume the first and simplest.
that means 10% of $8 = $0.80 per week.
plan C : the same amount every week until reaching $12. we need to increase in total by $4 (from $8 to $12). to reach these $4 in 8 weeks, we need to increase the price every week by 4/8 = $0.50.
plan D : $0.25 per week.
so, the plan with the highest increase every week and therefore the fastest one reaching $12 is plan B.
Answer:
3
Step-by-step explanation:
Answer:
Total impedance in circuit = 8 - 2j ohms
Step-by-step explanation:
Given:
Circuit one = 1 + 3j ohms
Circuit two = 7 - 5j ohms
Find:
Total impedance in circuit
Computation:
Total impedance in circuit = Circuit one + Circuit two
Total impedance in circuit = 1 + 3j + 7 - 5j
Total impedance in circuit = 8 - 2j ohms
The height of the triangle that forms the train track is 145,38 ft
<h3>How to calculate the height of the triangle?</h3>
To calculate the height of the triangle we must take into account the information provided by
- Base of the triangle = 1 mile = 5280 feet
- Railroad track expansion = 8 feet
According to the above, we must perform the following operations:
- 5280 ÷ 2 = 2640
- 8 ÷ 2 = 4
- 2640 + 4 = 2644
Subsequently, we must apply the Pythagorean theorem to find the height of the triangle having 2 data:
- Base: 2640ft
- Hypotenuse: 2644 ft
- 2644² = x² + 2640²
- x² = 2644² - 2640²
- x =
![\sqrt[2]{2644^{2} + 2640^{2}}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B2644%5E%7B2%7D%20%2B%202640%5E%7B2%7D%7D)
. - x =
![\sqrt[2]{21137}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B21137%7D)
- x = 145,38 ft
That makes x approximately 145,38 ft.
Learn more about triangles in: brainly.com/question/2269348
