Answer:
10.7
Step-by-step explanation:
You set up the proportion like this:

When you solve for x you get

x=10.7 rounded to the nearest tenth
Answer:

Step-by-step explanation:
So we have the indefinite integral:

This is the same thing as:

So, let's do integration by parts.
Let u be (ln(x))². And let dv be (1)dx. Therefore:

Simplify:

And:

Therefore:

The x cancel:

Move the 2 to the front:

(I'm not exactly sure how you got what you got. Perhaps you differentiated incorrectly?)
Now, let's use integrations by parts again for the integral. Similarly, let's put a 1 in front:

Let u be ln(x) and let dv be (1)dx. Thus:

And:

So:

Simplify the integral:

Evaluate:

Now, we just have to simplify :)
Distribute the -2:

And if preferred, we can factor out a x:

And, of course, don't forget about the constant of integration!

And we are done :)
Answer:
103°
Step-by-step explanation:
∠CEA and ∠DEB are vertically opposite angles same as ∠CED and ∠AEB.
Vertically opposite angles are angles that form when two lines intersect
From the figure given, lines CB and AD intersect to form vertically opposite angles mentioned above. Vertically opposite angles are equal, meaning
∠CEA=∠DEB and ∠CED=∠AEB
Replacing ∠CED=∠AEB, we get
(14x+7)°=(12x+17)°
Solve for x
(14x-12x)=17-7
2x=10
x=10÷2=5
value for x in ∠CED=∠AEB, we get (14×5)+7=77°
To calculate ∠CEA and ∠DEB
Let ∠CEA=∠DEB=y
∠DEA=180°since its a straight line therefor
(14x+7)°+y=180°
77+y=180
y=∠CEA=∠DEB=103°
Answer:
The converse statement is "If its is September then it is my birthday"
Step-by-step explanation:
Answer:
15 %
Step-by-step explanation:
42 = members of team A
60 = members of team B
Let x = percent of members transferred
0.01x × 60 = 0.6x = no of members transferred
60 - 0.6x = 42 + 0.6x
60 = 42 + 1.2x
18 = 1.2x
x = 15
15 % of the members on Team B must be transferred to Team A.
Check:
60 - 0.6 × 15 = 42 + 0.6 × 15
60 - 9 = 42 + 9
51 = 51
OK.