Answer:
The simplyfied version would be 19/4
Show of work:
(1/4)^-2 = 4^2
3 × 8^2/3 × 1 = 12
(9/16)^1/2 = 3/4
4^2 - 12 + 3/4
Convert elements to fractions:
-12 × 4 + 3
---------- ----
4 4
Since the denominators are equal combine the fractions:
-12 × 4 + 3
---------------
4
-12 × 4 + 3 = -45
= -45/4
=4^2 - 45/4
4^2 = 16
16 - 45/4
16 × 4 - 45. 16 × 4 - 45
--------- ----- ----------------
4 4. 4
-> 16 × 4 - 45 = 19
= 19/4
Answer:
Step-by-step explanation:
This is an exponential equation that is solved by taking the natural log of both sides. The equation is

If we are looking for x when f(x) = 64, then

Take the natural log of both sides:

The rules of logs allows us to bring the x down in front:

Divide both sides by ln(2) to get:

Do this on your calculator to get that x = 6.
You could also have just gone right to your calculator and started raising 2 to consecutive powers starting at like 3 or 4 to eventually get that 2 to the 6th power is equal to 64, but for the basics of solving log equations, you need to know how to do this.
Answer:
z = 62
y = 117
Step-by-step explanation:
Z
118 and z are supplementary.
z + 118 = 180 Supplementary angles add to 180. Subtract 118 from both sides.
z = 180 - 118 Do the subtraction
z = 62 Answer
Y
The interior angles of all quadrilaterals (convex) add up to 360 degrees.
y + z + 84 + 97 = 360 Given
62 + y + 84 + 97=360 Add
y + 243 = 360 Subtract 243 from both sides
y = 360 - 243 combine
y = 117 Answer
Answer: 8 balloons per box
8x18 + 8x12 = 144+96 = 240
I'm not sure about the first question.
Did you post the question correctly?