Consider the differential equation dy/dx = 1/3x(y-2)^2.
(a) A slope field for the given differential equation is shown below. Sketch the solution curve that passes through the point (0, 2), and sketch the solution curve that passes through the point (1, 0).
(b) Let y = f(x) be the particular solution to the given differential equation with initial condition f(1) = 0. Write an equation for the line tangent to the graph of y = f(x) at x = 1. Use your equation to approximate f(0.7).
(c) Find the particular solution y = f(x) to the given differential equation with initial condition f(1) = 0.

Answer:

12 tapes and 20 CDs were sold.

Step-by-step explanation:

Since a music store had a sale on tapes and CDs, and tapes were on sale for $ 5 each and CDs were on sale for $ 7, and during the sale, 32 tapes and CDs were sold, and the cash receipts from the sale of the tapes and CDs, before taxes, were $ 200, to determine the number of CDs and tapes sold during the sale, the following calculation must be performed:

7 - 5 = 2

32 x 5 = 160

200 - 160 = 40

40/2 = 20

32 - 20 = 12

12 x 5 + 20 x 7 = X

60 + 140 = X

200 = X

Therefore, 12 tapes and 20 CDs were sold.

Answer:

3/4

Step-by-step explanation:

12/16

divided by 4

3/4

Answer: /34

Step-by-step explanation:

 9/16 + 3/16

=(9+3)/16 ⇔ Fractions with the same denominator can subtract or add

=12/16 ⇔ Simplify

=(3×4)/(4×4) ⇔ Factor each number

=3/4 ⇔ Divide 4 on both numerator and denominator

Hope this helps!! :)

Please let me know if you have any questions

Answer:

$18.51

Step-by-step explanation:

23.42×.21= 4.91 then 23.42-4.91= your sale price which is $18.51

9514 1404 393

Answer:

Step-by-step explanation:

  40/8+3^2+(15-7)*2 . . . . given

The order of operations tells you to start by evaluating expressions in parentheses. Here, that is the subtraction of 7 from 15.

  40/8 +3^2 +8*2 . . . . (15-7) = 8

Then you evaluate exponential terms.

  40/8 +9 +8*2 . . . . . 3^2 = 9

Then perform multiplication and division, left to right. Here, division is first, then multiplication.

  5 +9 +8*2 . . . . . divide 40/8 = 5

  5 +9 +16 . . . . . . multiply 8*2 = 16

Finally, perform addition and subtraction, left to right.

  14 +16 . . . . add 5+9

  30 . . . . . . . add 14+16

Answer:

it is 8

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

One way we can relate distance and time is ...

  time = k × distance

Then the value of k (the constant of proportionality) is ...

  k = time/distance = 4 hours/(180 miles)

  k = (1/45) hours/mile

__

Another way we can relate the variables is ...

  distance = k × time

Then the value of k (the constant of proportionality) is ...

  k = distance/time = (180 miles)/(4 hours)

  k = 45 miles/hour

Answer:

a₇ = [tex] \frac{4096}{3125} [/tex]

Answer:

50 seconds.

Step-by-step explanation:

Hope this helps!

Answer:

50 seconds.

Step-by-step explanation:

If it takes 1 meter per second.

50 meter = 1 × 50 seconds

= 50 seconds.

Answer:D

Step-by-step explanation:

The situations that would result in the smallest standard deviation of p is; The population proportion p ≠ 0.5, and the sample size is n.

The formula for the standard deviation here is;

SD = √(n(p(1 - p))

Now, for the standard deviation to be maximum, it means that p = 0.5 and as such 1 - p will also be 0.5.

However, for Standard deviation to be smallest, then it means that p ≠ 0.5.

Secondly, for the sample size, it will have to remain as n and not 2n because when we say 2n, we are increasing the sample size which will in turn increase the standard deviation.

Read more about standard deviation at;

Answer:

https://www.commoncoresheets.com/Math/Properties/Applying%20Properties%20of%20Operations/Spanish/2.pdf

Step-by-step explanation:

This will help you:) not a spam link its a pdf that brings you straight to the worksheet <3

Answer:

13000

Step-by-step explanation:

it's closer to 13000 than to 12000

Answer:

Step-by-step explanation:

12628 >>>13000

Me:

This is easy like what grade are you in?

Answer:

62

Step-by-step explanation:

15+15+10+10+6+6= 62

Answer:

x = 7°

y = 10°

Step-by-step explanation:

7x = 49

x = 7°

180 = 13y + 1 + 49

combine like terms:

13y = 130

y = 10°

Answer:

X equals to 7 & y equals to 10 'cause ;

7X=49

X=7

50 + 13 y + 1 = 180

13y = 130

y=10

Step-by-step explanation:

Good luck.

hope it was helpful for u .

Answer:

f (x) = (x - 2)² + 3

Step-by-step explanation:

Adding 2 to the constant k would shift the entire equation upwards by 2.

Answer:

Look Below

Step-by-step explanation:

6(5 - 8N) + 12 = -54

-48N + 30 + 12 = -54

-48N + 42 = -54

(-48N + 42) + (-42) = -54 + (-42)

-48N = -96

-48N / 48 = N

-96 / 48 = 2

N = 2

Hope This Helps! If you find any fault in my answer please let me know. Thanks! Have a good day!

Answer:

A+B=180°(linear pair)

a+ 52°=180°

a=180°-52°

a=128° is your answer

Answer: did you get a answer yet?

Step-by-step explanation:

Answer:

3  1/3

Step-by-step explanation:

Not sure if you accidentally typed 600 instead of 60, but the answer should be 60º

explanation:

angles in a triangle sum to 180º, as shown by the triangle on the right (45+75+60=180)

so the missing angle E would be 60º

Answer:

3441

Step-by-step explanation:

PLS HOPE THIS HELP

Answer:

It is 47.5 or 47 1/2

Step-by-step explanation:

The formula for volume of a prism is base x height.

The base is the area of the rectangle at the bottom. The area of a rectangle is, of course, length times width, so 2.5 x 4=10.

So, the base is 10.

Now, the second part of the formula is height.

The height is 4.75.

Now, do the formula: Base x height : 10 x4.75

The answer is 47.5.

Don't report me lol. I promise it is correct.

Answer:

I need 5 Brainliest before I can become Ace

Step-by-step explanation:

Answer:

6  cm.

Explanation:  6

cm.

Explanation:

Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.

The formula to find the area of a triangle is:

a = 1 2 h b

→ ( h = height ,  b= base )

We know:

a = 24 h = 8

So we can substitute them in and find  

Multiply by sides by 2 and then divide:

The base of the triangle is  

6 cm. -step explanation:

Answer:

[tex]\dfrac{-8}{x+3}[/tex]

Step-by-step explanation:

We need to find an algebraic expression for the given statement i.e. "the quotient of negative eight and the sum of a number and three".

Let the number be x. Quotient means to divide. It means we need to divide -8 and the sum of x and 3.

So, we can write it as follows :

[tex]\dfrac{-8}{x+3}[/tex]

Hence, this is the required solution.

Answer:

The desired dot product is -1

Step-by-step explanation:

To find the dot product of the given vectors, multiply the magnitudes of the 'i' and 'j' terms together, separately, and then add the results:

dot product of u and v = (-4)(2) + (7)(1) = -8 + 7 = -1

The desired dot product is -1

Given:

The matrix equation is:

[tex]\begin{bmatrix}-18&3&5\end{bmatrix}-C=\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]

To find:

The value of matrix C.

Solution:

Let [tex]A=\begin{bmatrix}-18&3&5\end{bmatrix},B=\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]. Then the given equation can be rewritten as

[tex]A-C=B[/tex]

[tex]-C=B-A[/tex]

[tex]C=-(B-A)[/tex]

[tex]C=A-B[/tex]

On substituting the values of the matrices, we get

[tex]C=\begin{bmatrix}-18&3&5\end{bmatrix}-\begin{bmatrix}-22&1&12\end{bmatrix}[/tex]

[tex]C=\begin{bmatrix}-18-(-22)&3-1&5-12\end{bmatrix}[/tex]

[tex]C=\begin{bmatrix}-18+22&2&-7\end{bmatrix}[/tex]

[tex]C=\begin{bmatrix}-4&2&-7\end{bmatrix}[/tex]

Therefore, the correct option is C.

Answer: C

Step-by-step explanation: [ 4 2 -7 ]

Answer:

The quadratic equation y = -4x2 + 80x - 150 models the store's daily profit, y, for selling footballs at x dollars. you can subtract 150 from both sides and use the quadratic formula to find x=4. It can make at most 120 units in one day. 3 1. Backward Bending Supply Curve.