Answer: 1110
Step-by-step explanation:
For an arithmetic progression, the nth term is gotten by using the formula:
= a + (n-1)d
Therefore,
7th term = a + 6d = 38 ..... equation i
12 term = a + 11d = 63 ...... equation ii
Subtract equation i from ii
(a + 6d) - (a + 11d) = 38 - 63
-5d = -25
d = 25/5
d = 5
Since d = 5
From a + 6d = 38
a = 38 - 6d
a = 38 - (6×5)
a = 38 - 30
a = 8
The sum of the first 20 terms will be:
= n/2[2a + (n-1)d]
= 20/2[(2×8) + (20-1)5]
= 10[16+(19 × 5)]
= 10(16+95)
= 10(111)
= 1110
Answer:
-6/7
Step-by-step explanation:
The slope of the line perpendicular to DE is the negative reciprocal of the slope of DE. The slope of DE is ...
(change in y)/(change in x) = (y2 -y1)/(x2 -x1) = (-3-4)/(1-7) = -7/-6 = 7/6
The inverse of that is 6/7, and the opposite of that inverse is -6/7.
The slope of the line perpendicular to DE is -6/7.
Answer:
Number of ripe mangoes were sold as 132
Step-by-step explanation:
Let's assume number of rip mangoes were sold as 'x'
A store manager ordered 28 crates of mangoes
Number of crates =28
There were 36 mangoes in each crate
Number of mangoes in each crate=36
Total number of mangoes=( Number of crates)*(Number of mangoes in each crate)
Total number of mangoes is
WHEN the mangoes were delivered
he sold the ripe mangoes and repacked the rest equally into 73 boxes
There were 12 mangoes in each box
Total number of mangoes is
now, we can set them equal
<span>Part
A:
a) What do the x-intercepts and maximum value of the graph represent?
The x-intercepts are the distances at which the ball is on the ground.
First, at x = 0, that is when the ball is kicked; second, at x = 30, when the ball falls (return) to the ground.
b) What are the intervals where the function is increasing and decreasing,
and what do they represent about the distance and height? (6 points)
The function is increasing in the interval (0, 15) and is decreasing in the interval (15,30)
The increasing interval (0,15) is the horizontal distance from the point the the ball was kicked until it reached its highest altitude, this is where the ball was going upward.
The decreasing interval (15,30) is the horizontal distance from the point where the ball reached its highest altitude until it landed on the ground, this is where the ball was falling down.
Part B: What is an approximate average rate of change of the graph from x
= 22 to x = 26, and what does this rate represent
On the graph you can read that at x = 22, f(x) ≈ 12, and at x = 26 f(x) ≈ 7.
So, an approximate rate of change from x = 22 to x = 26 is given by the equation below:
change on f(x) 7 - 12
average rate of change = --------------------- = ----------- = -5/4
change of x 26 - 22
That rate represents that the ball fell about 5 ft per 4 ft in that interval.
</span>
Answer:
a. 25%
b. 55%
c. 35%
Hope it helps you and pls mark as brainliest : )
