Answer:
x = 8°
Step-by-step explanation:
since the angles are vertical angles, they are equal
3 + 14x = 115
14x = 112
x = 8
Answer:
It will take 554 years
Step-by-step explanation:
Here, we want to estimate the time when t will be $50
We can rewrite the exponential equation as;
y = 200(1-0.0025)^t
In this case, y = $50 and we want to calculate t
so, we simply proceed to substitute the value 50 for y
we have this as ;
50 = 200(1-0.0025)^t
50/200 = (1-0.0025)^t
1/4 = 0.9975^t
0.25 = 0.9975^t
Take the natural logarithm of both sides
ln 0.25 = ln 0.9975^t
ln 0.25 = t ln 0.9975
t = ln 0.25 / ln 0.9975
t = 553.8 = 554 years
The bike will be $50 in 554 years
X= 5
multipules of 5
thinking of the factors of 5
Answer:
![[4,0,3,1,2,5]](https://tex.z-dn.net/?f=%5B4%2C0%2C3%2C1%2C2%2C5%5D)
and ![[6,9,8,7]](https://tex.z-dn.net/?f=%5B6%2C9%2C8%2C7%5D)
Step-by-step explanation:
GIVEN: an array of ten integers 
.
TO FIND: If we partition this array using Quick sort's partition function and using 
for the pivot. List the elements of the resulting array after the partition finishes.
SOLUTION:
quick sort is a divide and conquer algorithm in which an array is partitioned into sub-arrays about an pivot element by checking whether elements are greater than pivot or and then sub arrays are sorted recursively.
Here is the pivot element.
two arrays will be created, in first array element less than or equal to pivot element are stored in other elements greater than pivot element are stored.
Starting from first element of array
elements in first array will be ![=[4,0,3,1,2,5]](https://tex.z-dn.net/?f=%3D%5B4%2C0%2C3%2C1%2C2%2C5%5D)
elements in second array will be ![=[6,9,8,7]](https://tex.z-dn.net/?f=%3D%5B6%2C9%2C8%2C7%5D)
Hence the resulting array after the partition finishes are and
Because you're trying to make them congruent, equal the two expressions to each other.
So, for #10 you would equal them so it would look like this.
2x+2=5x-19
Then you would just go ahead and simplify
2x+2=5x-19
-2x -2x
---------------
2= 3x -19
+19 +19
---------------
21=3x
--- ----
3 3
x=7
This means that x should be 7. You can check this just by plugging it in
2x+2
2(7)+2 = 16
5x-19
5(7)-19= 16
Same with #11.
x+8=3x-14
-x -x
--------------
8=2x-14
+14 +14
--------------
22=2x
--- ----
2 2
x=11
Check.
x+8
11+8= 19
3x-14
3(11) - 14 = 19
