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Reil [10]
3 years ago
15

We must use substitution to do this second integral. We can use the substitution t = 7x, which will give dx = Correct: Your answ

er is correct. dt. Ignoring the constant of integration, we have sin(7x) dx =
Mathematics
1 answer:
tankabanditka [31]3 years ago
6 0

Answer:

Therefore, the solution is:

\boxed{\int \sin 7x\, dx=-\frac{\cos 7x}{7}}

Step-by-step explanation:

We calculate the given integral.  We use the substitution t = 7x.

\int \sin 7x\, dx=\begin{vmatrix} 7x=t\\ 7\, dx=dt\\ dx=\frac{dt}{7} \end{vmatrix}\\\\=\int \sin t \cdot \frac{1}{7}\, dt\\\\=\frac{1}{7}\cdot (-\cos t)\\\\=-\frac{\cos 7x}{7}

Therefore, the solution is:

\boxed{\int \sin 7x\, dx=-\frac{\cos 7x}{7}}

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nikki has four clients and each appointment is 90 minutes how long will it take her to serve four clients​
Masteriza [31]

Answe360

Step-by-step explanation

If you multiply 90 by 4, you get 360 think of it as for groups with 90 in them.

8 0
3 years ago
Write an equation for the line that is parallel to the given line and passes through the given point.y = 5x + 7; (3, 18)
djverab [1.8K]
The answer would be y=5x+3.
7 0
3 years ago
A bag has 14 yellow Marbles and 6 red marbles half of the red marbles are made of plastic a marble is selected at random from th
ivolga24 [154]

Answer:

There is a 3/20 chance that a red plastic marble will be taken out on random.

Step-by-step explanation:

This is because there are 14 yellow marbles, and 6 red marbles. Along with this, half of the red marbles are made out of plastic. This leaves 3/6 of the red marbles made out of plastic. When combined with the yellow marbles, you'll add 14 to the denominator, since there are 14 yellow marbles. (Red + Yellow = Total Number Of Marbles) This leads to a total count of 3 marbles of the 20 total marbles, being red and made out of plastic.

6 0
3 years ago
Abby Mia wants to know how much must be deposited in her local bank today so that she will receive yearly payments of $18,000 fo
aev [14]
It's annuity problem
To solve your question use the formula of the present value of annuity ordinary which is
Pv=pmt [(1-(1+r)^(-n))÷r]
Pv present value?
PMT yearly payments 18000
R interest rate 0.09
N time 20 years
So
Pv=18,000×((1−(1+0.09)^(−20))÷(0.09))
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4 0
3 years ago
Find the area of the figure. Round to the nearest hundredth when necessary
dexar [7]

Answer:

  745.44 square mm

Step-by-step explanation:

The figure can be decomposed into ...

  • a semicircle of radius 12.5 mm
  • a rectangle 12.5 mm by 25 mm
  • a triangle 12.5 mm by 30 mm

The relevant area formulas are ...

  Semicircle: A = 1/2πr² = 1/2π(12.5 mm)² ≈ 245.437 mm²

  Rectangle: A = LW = (12.5 mm)(25 mm) = 312.500 mm²

  Triangle: A = 1/2bh = 1/2(12.5 mm)(30 mm) = 187.500 mm²

Total area of the figure is ...

  245.437 +312.500 +187.500 = 745.437 . . . mm²

The area of the figure is about 745.44 square mm.

6 0
3 years ago
Read 2 more answers
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