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3 years ago

12

there is a $10 monthly membership fee to download music. there is a $0.50 fee for each song download. what is the cost of downlo

ading 15 songs? explain your reasoning

2 answers:

marin [14]3 years ago

8 0

Answer: $17.5

Step-by-step explanation: I’m pretty sure

Lina20 [59]3 years ago

4 0

Answer:

ggggggggggggggggggggggg

Step-by-step explanation:

gggggggggggggg

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A Bernoulli differential equation is one of the form dxdy+P(x)y=Q(x)yn Observe that, if n=0 or 1, the Bernoulli equation is line

aleksandr82 [10.1K]

It's unclear whether the ODE is

$xy'+y=4xy^2$

or

$xy+y'=4xy^2$

If the first case, then divide through both sides by $y^2$ to get

$xy^{-2}y'+y^{-1}=4x$

then substitute $z=y^{-1}$ , so that $z'=-y^{-2}y'$ . Then

$-xz'+z=4x\implies-\dfrac1xz'+\dfrac1{x^2}z=\left(-\dfrac1xz\right)'=\dfrac4x$

$\implies-\dfrac1xz=\displaystyle\int\frac4x\,\mathrm dx$

$\implies z=-4x\ln|x|+Cx$

$\implies\boxed{y=\dfrac1{Cx-4x\ln|x|}}$

If the second, then dividing through by $y^2$ gives

$xy^{-1}+y^{-2}y'=4x$

The same substitution as before gives

$xz-z'=4x\implies e^{-x^2/2}z'-xe^{-x^2/2}z=\left(e^{-x^2/2}z\right)'=-4xe^{-x^2/2}$

$\implies e^{-x^2/2}z=\displaystyle-4\int xe^{-x^2/2}\,\mathrm dx$

$\implies z=4+Ce^{x^2/2}$

$\implies\boxed{y=\dfrac1{4+Ce^{x^2/2}}}$

5 0

3 years ago

Kailey plays video games for x hours a month. Trent plays video games four hours more than Kylie and Megan plays two times more

Mazyrski [523]

Answer:

8 + 2x

Step-by-step explanation:

Given that :

Kyle's game time = x

Trent's game time = 4 hours more than Kylie = 4 + x

Megan's game time = 2 times more than Trent ; this equals ; 2 * (4 + x) = 2(4 + x) = 8 + 2x

7 0

3 years ago

Find the volume. 74yd 54yd 84yd 103yd

ahrayia [7]

The volume of the figure in the attachment is 84 cubic yards

<h3>What is the volume of a figure?</h3>

The volume of a figure or a three-dimensional shape is the amount of space inside the figure or the three-dimensional shape

<h3>How to determine the total volume?</h3>

The complete question is added as an attachment.

From the attached figure, we can see that the three-dimensional shape is a frustum

The volume is then calculated using the following formula

V = 1/2 * (Sum of the parallel bases) * height * side length

From the figure, we have:

Parallel bases = 2 yards and 6 yards

Height = 3.5 yards

Side length = 6 yards

Substitute the known values in the above equation

V = 1/2 * (2 + 6) * 3.5 * 6

Evaluate the product in the above equation

V = 1/2 * (2 + 6) * 21

Evaluate the sum in the above equation

V = 1/2 * 8 * 21

Evaluate the product in the above equation

V = 1/2 * 168

Evaluate the product in the above equation

V = 84

Hence, the volume of the figure in the attachment is 84 cubic yards

Read more about volume at:

brainly.com/question/1972490

#SPJ1

5 0

2 years ago

assume that a consumer has a given budget or income of $12 and that she can buy only two goods, apples or bananas. The price of

Hitman42 [59]

Answer:

-2

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b

where y is the variable on the vertical axis, x is the variable on the horizontal axis, m is the slope of the line = change in vertical axis / change in horizontal axis, b is the y intercept.

Given that the quantity of apples were measured on the horizontal axis and the bananas on the vertical axis. Therefore let y represent the quantity of bananas and x represent the quantity of apples. The price of banana is $0.75 while that of apple is $1.50, Hence:

0.75y + 1.5x = 12

0.75y = -1.5x + 12

y = -2x + 16

Hence comparing with y = mx + b, the slope of the budget line is -2

6 0

3 years ago

Jim drives his children to their sports activities outside of school. When he drives his son to baseball practice, it is a 6-km

trapecia [35]

Answer:

17.4 kilometers per week

Step-by-step explanation:

we know that

The number of kilometers that Jim drives a week is equal to the number of baseball practice multiplied by its round trip plus the number basketball practice multiplied by its round trip

Remember that

$1\ km=1,000\ m$

so

$1,800\ m=1,800/1,000=1.8\ km$

$2(6)+3(1.8)=17.4\ km$

6 0

3 years ago