Answer:
The four consecutive odd integers = 15, 17, 19, 21
Step-by-step explanation:
Four consecutive odd integers in Mathematics when x is an integer is given as:
x , x + 2 , x + 4, x + 6
Where:.
First integer = x
Second integer = x + 2
Third integer = x + 4
Fourth integer = x + 6
The sum of the first and fourth is 55 greater than the opposite of the third
Hence :
x + x + 6 = -(x + 4) + 55
x + x+6 = (-x - 4) + 55
2x + 6 = -x + 51
Collect like terms
2x + x = 51 - 6
3x = 45
x = 15
Therefore,
First integer = x = 15
Second integer = x + 2 = 15 + 2 = 17
Third integer = x + 4 = 15 + 4 = 19
Fourth integer = x + 6 = 15 + 6 = 21
The four consecutive odd integers = 15, 17, 19, 21
Order them from smallest to largest:
21, 24, 25, 26, 26, 31
mean: 25.5
add all the numbers up and divide them by 6.
median: 25.5
the number in between 25 & 26.
mode: 26
there are two 26’s in the pattern.
range: 21-31
Answer:
4 Quarters. 10 dimes. 20 nickels. 100 pennies.
Step-by-step explanation:
I hope this helps! Please give me brainliest!
Hey there! :)
(1) Change to decimal and multiply by the number you need to find the % of
75% as a decimal = 0.75
0.75 × 28 = 21
Your answer is 21
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(2) Circumference = π · diameter
To find diameter, divide circumference by π
Circumference = 37.68
37.68 ÷ π = 11.99 = 12
The diameter is 12
Hope this helps :)
Green's theorem doesn't really apply here. GT relates the line integral over some *closed* connected contour that bounds some region (like a circular path that serves as the boundary to a disk). A line segment doesn't form a region since it's completely one-dimensional.
At any rate, we can still compute the line integral just fine. It's just that GT is irrelevant.
We parameterize the line segment by


with

. Then we find the differential:


with

.
Here, the line integral is





as required.