Answer:
5.4 is rational. 5.4 divide by 2 is 2.45 5.3 and 5 3 are irrational, as it cant be divided easily
Answer:
26π
Step-by-step explanation:
Hmm... This one is a little hard to understand because of the LaTeX.
Any way, way back to the question. A useful piece of information:
<u>The formula for finding the circumference of a circle is 2πr or π · d :</u>
We first need to find out what x is.
Since 2 times the radius is the diameter, we can set up our equation like this:
2(x + 6) = 3x + 5
Solving gives:
2x + 12 = 3x + 5.
We subtract 2x from both sides:
+12 = x + 5
Subtract 5:
So x = 7.
Now we can plug-and-chug:
7 + 6 = 13 times 2pi (this is the radius)
21 + 5 = 26 times pi.
<u>Check:</u>
When we check 13 (radius) times 2 should equal the diameter(26)
13 * 2 = 26.
So we are correct. The answer 26π is correct.
Hi there!

To find the indefinite integral, we must integrate by parts.
Let "u" be the expression most easily differentiated, and "dv" the remaining expression. Take the derivative of "u" and the integral of "dv":
u = 4x
du = 4
dv = cos(2 - 3x)
v = 1/3sin(2 - 3x)
Write into the format:
∫udv = uv - ∫vdu
Thus, utilize the solved for expressions above:
4x · (-1/3sin(2 - 3x)) -∫ 4(1/3sin(2 - 3x))dx
Simplify:
-4x/3 sin(2 - 3x) - ∫ 4/3sin(2 - 3x)dx
Integrate the integral:
∫4/3(sin(2 - 3x)dx
u = 2 - 3x
du = -3dx ⇒ -1/3du = dx
-1/3∫ 4/3(sin(2 - 3x)dx ⇒ -4/9cos(2 - 3x) + C
Combine:

Si it is a linear eqaution
Answer:
1 adult cat
Step-by-step explanation:
<u>Thursday:</u>
The ratio of adult cat to kitten at a pet care center on Thursday was 4:3.
Number of adult cats = 4x
Number of kitten cats = 3x
There were 12 kittens, then

There were 16 adult cats
<u>Tuesday:</u>
17 adult cats were at the pet care center.
<u>Difference:</u>
adult cat