A.) 7^4x = 10
log base 10 (7^4X) = log base 10 (10)
4x log base 10 (7) = 1
4x (0.8451) = 1
3.3804x = 1
x = 0.2958
b.) ln(2) + ln(4x-1) = 5
ln (2 * 4x-1) = 5
ln (8x-2) = 5
log base (3) (8x-2) = 5
e^5 = 8x-2
e^5+2 = 8x
x = 18.8016
<span>20, 19, 13, 23, 16, 15, 17, 17, 15, 15, 22, 19
</span>To find the Median, place the numbers in value order<span> and find the </span>middle<span>.
</span>
13, 15, 15, 15, 16, 17, 17, 19, 19, 20, 22, 23
There are 12 numbers and so we don't have just one middle number, we have a pair of middle numbers:
13, 15, 15, 15, 16,
(17, 17), 19, 19, 20, 22, 23
<span>To find the value halfway between them, add them together and divide by 2:
</span>
17 + 17 = 34
34 ÷ 2 = 17
So the median is A) 17.
Step-by-step explanation:
180 degrees is (-a, -b) and 360 is (a, b). 360 degrees doesn't change since it is a full rotation or a full circle. Also this is for a counterclockwise rotation. If you want to do a clockwise rotation follow these formulas: 90 = (b, -a); 180 = (-a, -b); 270 = (-b, a); 360 = (a, b)
Answer:
The table is:
x y
1 1
2 5
3 9
The graph B shows the relationship y=4x-3
Step-by-step explanation:
We need to fill the table using the rule:
To find y multiply x by 4 and then subtract 3.
Writing rule in mathematical form:
y=4x-3
Now for completing the table we need to put x=1,2 and 3 and find values of y
So, the table is:
x y
1 1
2 5
3 9
The graph B shows the relationship y=4x-3
The correct answer is 1 + 3i.
In order to get the answer to this, only add like terms. Add first the constants in the front.
3 + -2 = 1
Now add the imaginary terms
-5i + 8i = 3i
Then you can put the two together as a term and write as 1 + 3i.
