1. First I turned the fractions into decimals, just to make things easier for me.2. That gave me => (.25x)+(.75)+(.375)=(3.25)
3. Then, I combined like terms and move my equation around; so, that gave me (.25x) = (3.25) - (.75) - (.375) and when I solve the right side of the equation it gives me
(.25x) = (2.125)
4. After combining like terms and simplifying (the way I did in step 3), I will divide both sides by .25, to get the value of X alone; so, my equation then looks like => x=8.5
To do this, you got to square 256.
The square root of 256 is 16.
Therefore, there are 16 small squares on each edge of the mosaic.
Kinda proof:
o o o o O
o o o o O
o o o o O
o o o o O
o o o o O
25 squares. Square root is 5. 5 along each edge. My work shares same concept.
Extremely unnecessary proof:
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
o o o o o o o o o o o o o o o O
There are 256 squares, and you can count 16 on each edge. this shows 16 times 16, or 16 squared, which is 256.
Answer:
a) The function is constantly increasing and is never decreasing
b) There is no local maximum or local minimum.
Step-by-step explanation:
To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation.
f(x) = ln(x^4 + 27)
f'(x) = 1/(x^2 + 27)
Now we take the derivative and solve for zero to find the local max and mins.
f'(x) = 1/(x^2 + 27)
0 = 1/(x^2 + 27)
Since this function can never be equal to one, we know that there are no local maximums or minimums. This also lets us know that this function will constantly be increasing.
We conclude that the measure of that angle is 150 degrees.
<h3>
How to get the measure of angle BFE?</h3>
Notice that the measure of angle ∠BFE will be equal to:
∠BFE = ∠BFC + ∠CFD + ∠DFE
Where:
∠CFD = 90°
∠DFE = 30°
And we will have that:
∠AFC = 180° - 90° - 30° = 60°
And we know that BF bisects that angle, then:
∠BFC = 30°
So we conclude that:
∠BFE = ∠BFC + ∠CFD + ∠DFE = 30° + 90° + 30° = 150°
We conclude that the measure of that angle is 150 degrees.
If you want to learn more about angles:
brainly.com/question/17972372
#SPJ1
Product means to multiply.
306 x 15 = 4590.
