Answer:
Step-by-step explanation:
<u>Given the sequence</u>
<u>To find </u>
- Sum of terms from i=5 to i=15
<h3>Solution</h3>
We see the sequence is AP
<u>The required sum is</u>
<u>Using sum of AP formula</u>
<u>Finding the required terms</u>
- i₁ = - 4- 6 = -10
- i₄ = -4 -6*4 = - 28
- i₁₅ = -4 -6*15 = -94
<u>Getting the sum</u>
- S₄ = 1/2*4*(-10 - 28) = -76
- S₁₅ = 1/2*15*(-10 - 94) = -780
- S₅₋₁₅ = S₁₅ - S₄ = -780 - (-76) = - 704
Answer:
The hourly drop between the two times is 1/40
Step-by-step explanation:
Firstly, we need to find the difference in time between 9 pm and 6:36 am
That would be 9 hours and 36 minutes
It would be needed to convert 36 minutes to hours
Mathematically, 60 minutes = 1 hour
So 36 minutes = (36 * 1)/60 = 36/60 = 0.6
So the difference between the two time is simple 9.6 hours
So the total drop during the time is given by 6/25
So the hourly drop will be 6/25 divided by 9.6
= 6/25 * 1/9.6 = 6/240 = 1/40
Answer:
21 weeks
Step-by-step explanation:
In this question, we are to use proportionality to find the solution to the question.
We were made to know that the time taken to build the highway is varied directly with the length and inversely with the number of workers.
Let us make a mathematical representation for this.
Let the time be t, number of workers be w and length be l
t is directly proportional to l and inversely proportional to w
Mathematically;
t = kl/w
Where k is the constant of proportionality.
Let’s find the value of k
150 workers built 12 miles of highway in 14 weeks ; plug these in the equation to get k
14 = k * 12/150
k = 150 * 14/12 = 175
Now we want to get t given w and l
from ;
t = kl/w
We can get t; where l = 15 and w = 125
t = 175 * 15/125
t = 21 weeks
Answer: 5 units
Step-by-step explanation:
The area of a parallelogram is 
. SInce we know the area and the height, we can directly plug the values into this equation and solve for the base.
20=b(4) [divide both sides by 4]
b=5 units
10x = 5 Answer: x = 1/2
−5 = x + 6 Answer: x = -11
22 = 22x Answer: x = 1
0 = −7x Answer: x = 0
−x = 7 Answer: x = -7
x/4 = 1/2 Answer: x = 2
x/5 = 20 Answer: x = 100
x/-2 = -5 Answer: x = 10
5x = 55 Answer: x = 11
−3x = 18 Answer: x = -6
12 = x -6 Answer: x = 18
