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MArishka [77]
3 years ago
13

Ryan made a cd of his favorite songs. There are 42 minutes of time on Cd. He records 14 songs. What is the average length of eac

h song?
Mathematics
2 answers:
postnew [5]3 years ago
7 0
The average song length is 3 minutes (divide 42 and 14)
solmaris [256]3 years ago
6 0
The average length of each song is 3 minutes . The steps to do that is 42 minutes divided to 14 songs and you have the answer is 3 .
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Calculus help ASAP!!!
anastassius [24]
Let c\in(0,\infty). Then the definite integral can be split up at t=c so that

\displaystyle F(x)=\int_{t=2x}^{t=5x}\frac{\mathrm dt}t
\displaystyle=\int_{t=2x}^{t=c}\frac{\mathrm dt}t+\int_{t=c}^{t=5x}\frac{\mathrm dt}t
\displaystyle=-\int_{t=c}^{t=2x}\frac{\mathrm dt}t+\int_{t=c}^{t=5x}\frac{\mathrm dt}t

Now take the derivative. By the fundamental theorem of calculus, you have

\displaystyle\frac{\mathrm dF}{\mathrm dx}=\frac{\mathrm d}{\mathrm dx}\left[\int_{t=c}^{t=5x}\frac{\mathrm dt}t-\int_{t=c}^{t=2x}\frac{\mathrm dt}t\right]
=\displaystyle\frac1{5x}\dfrac{\mathrm d}{\mathrm dx}[5x]-\frac1{2x}\dfrac{\mathrm d}{\mathrm dx}[2x]
=\dfrac5{5x}-\dfrac2{2x}
=\dfrac1x-\dfrac1x
=0

Then integrating with respect to x, we recover F(x) and find that

\displaystyle\int\dfrac{\mathrm dF}{\mathrm dx}\,\mathrm dx=\int0\,\mathrm dx
F(x)=C

where C is an arbitrary constant.
7 0
3 years ago
I have a question please answer it.
Tems11 [23]

Answer:

A or B Ma'am or sir. Have an amazing day and good luck!!

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Donna is putting down tile on her outdoor deck. The shape of her deck is shown below. Each unit on the coordinate plane represen
Marysya12 [62]
Where’s is the link??
4 0
3 years ago
For questions 10 – 11, if l ||m, find the values of x and y
iogann1982 [59]

Answer:

10). x = 16

      y = 10

11). x = 24

    y = 19

Step-by-step explanation:

10). Since l ║ m and a line is transverse intersecting these parallel lines at two distinct points.

Two angles having measures (8x - 14)° and (5x + 34)°are the alternate exterior angles.

Since alternate interior angles are equal in measures.

Therefore, (8x - 14) = (5x + 34)

8x - 5x = 34 + 14

3x = 48

x = 16

Measure of angle (8x - 14)° = 8×16 - 14

                                            = 128 - 14

                                            = 114°

Sum of supplementary angles = 180°

Therefore, (8x - 14)° + (5y + 16) = 180°

                          114° + (5y + 16)°= 180°

                                              5y = 180 - 130

                                                y = 10

Therefore, x = 16 and y = 10

11). m∠BAC = (5y - 23)°

     m∠ACB = 47°

     m∠ABC = (2x + 13)°

Since these angles are the angles of a triangle,

(5y - 23)° + 47° + (2x + 13)° = 180°

5y + 2x = 180 - 37

2x + 5y = 143 ------(1)

Lines l ║ m and AC is a transverse,

3x = 5y - 23  [Exterior corresponding angles]

3x - 5y = -23 -----(2)

By adding equation (1) and (2)

(2x + 5y) + (3x - 5y) = 143 - 23

5x = 120

x = 24

From equation (1),

2(24) + 5y = 143

5y = 143 - 48

5y = 95

y = 19

Therefore, x = 24 and y = 19

4 0
3 years ago
How do I find the surface area and volume of the larger figure using that of the smaller figure?
dalvyx [7]
We know that
scale factor=1/8

volume smaller figure=[scale factor]³*volume larger figure
so
volume larger figure=volume smaller figure/[scale factor]³
volume smaller figure=7 km³
volume larger figure=7/[1/8]³----> 7/(1/512)---> 7*512---> 3584 km³

the answer Part a) is 
the volume of the larger figure is 3584 km³

surface area smaller figure=[scale factor]²*surface area larger figure
surface area larger figure=surface area smaller figure/[scale factor]²
surface area smaller figure=9 km²
surface area larger figure=9/[1/8]²----> 9/(1/64)---> 9*64---> 576 km²

the answer part b) is
the surface area of the larger figure is 576 km²

4 0
3 years ago
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