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Ilya [14]
3 years ago
8

6. Find the missing value. Show your work.

Mathematics
1 answer:
VLD [36.1K]3 years ago
4 0
For the 51-deg angle, y is the opposite leg, and 12 is the hypotenuse.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.

sin A = opp/hyp

sin 51 deg = y/12

y = 12 * sin 51 deg

y = 9.3
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Ex 4.8<br> 14) integrate 3^(2x-1)
sesenic [268]
Take the integral:

\large\begin{array}{l} \mathsf{\displaystyle\int\!3^{2x-1}\,dx}\\\\ =\mathsf{\displaystyle\int\!\frac{1}{2}\cdot 2\cdot 3^{2x-1}\,dx}\\\\ =\mathsf{\displaystyle\frac{1}{2}\int\!3^{2x-1}\cdot 2\,dx\qquad(i)} \end{array}


\large\begin{array}{l} \textsf{Substitute}\\\\ \mathsf{2x-1=u\quad\Rightarrow\quad 2\,dx=du}\\\\\\ \textsf{so (i) becomes}\\\\ =\mathsf{\displaystyle\frac{1}{2}\int\!3^u\,du}\\\\ =\mathsf{\dfrac{1}{2}\cdot \dfrac{1}{\ell n\,3}\,3^u+C}\\\\ =\mathsf{\dfrac{1}{2\,\ell n\,3}\,3^{2x-1}+C} \end{array}


\large\begin{array}{l} \boxed{\begin{array}{c}\mathsf{\displaystyle\int\!3^{2x-1}\,dx=\frac{1}{2\,\ell n\,3}\,3^{2x-1}+C} \end{array}}\qquad\checkmark \end{array}


<span>If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2154165


\large\textsf{I hope it helps. :-)}
</span>

Tags: <em>integrate indefinite integral substitution exponential base logarithm log ln composite integral calculus

</em>
4 0
3 years ago
A soccer team will sell T-shirts for a fundraiser. The company that makes the T-shirts charges $10 per shirt plus a $20 shipping
FinnZ [79.3K]
a. Write and graph an equation in two variables that represents the total cost of ordering the shirts.
 For this case, the first thing we must do is define variables:
 c = total cost
 x = x number of shirts.
 The equation that adapts to the problem is:
 c (x) = 10x + 20
 Answer:
 c (x) = 10x + 20

 b. Choose an ordered pair that lies on your graph in part (a). Interpret it in the context of the problem.
 
Let's choose the next ordered pair:
 (x, c (x)) = (0, 20)
 We verify that it is in the graph:
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 c (20) = 20 (yes, it belongs to the graph).
 In the context of the problem, this point means that the cost per shipment is $ 20
 Answer:
 (0, 20)
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3 0
2 years ago
I need help please help me.THANKS!!
Elan Coil [88]

Answer:

A. 42, 120, 162

Step-by-step explanation:

27 x 6 = 162

or

42 + 120 = 162

4 0
3 years ago
Sasha wants to buy some dresses over the Internet. Each dress costs $7.15 and has a shipping cost of $9.95 per order. If Sasha w
sveticcg [70]
   7.15
x 9.95
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$51.30
8 0
3 years ago
Read 2 more answers
13 POINTS 13 Points 13 POINTS 13 Points 13 POINTS 13 Points 13 POINTS 13 Points
ira [324]

Answer:

8

Step-by-step explanation:

  • because 16-8≈ 8
5 0
2 years ago
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