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3 years ago

6

What is the related rate of the ratio 90 to 3?

1 answer:

Valentin [98]3 years ago

7 0

Answer:

30:1

Step-by-step explanation:

90:3

90÷3=30

3÷3=1

=30:1

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Solve 4 over x minus 4 equals the quantity of x over x minus 4, minus four thirds for x and determine if the solution is extrane

lilavasa [31]

We mathematically express the given such that it becomes,
4 / (x - 4) = x / (x - 4) - 4/3

To answer this, multiply the equation by 3(x - 4) since this is the least common multiple (LCM).

4(3) = (3)(x) - 4(x - 4)

Simplifying,
12 = 3x - 4x + 16
4 = -4x
The value of x should be equal to -1.

The calculated value of y can be calculated.

6 0

3 years ago

Solve the following differential equation: y" + y' = 8x^2

PtichkaEL [24]

Answer:

$y=y_p+y_h = \frac{8}{3}x^3-8x^2+16x+ C_1 + C_2e^{-x}$

Step-by-step explanation:

Let's find a particular solution. We need a function of the form $y= ax^3+bx^2+cx+d$ such that

$y'= 3ax^2+2bx+c$ and

$y''= 6ax+2b$

$y'+y''= 3ax^2+2bx+c+6ax+2b = 3ax^2+x(2b+6a)+(c+2b) = 8x^2$

then, 3a= 8, 2b+6a =0 and c+2b = 0. With the first equation we obtain

a = 8/3 and replacing in the second equation 2b+6(8/3) = 2b + 16 = 0. Then, b = -8. Finally, c = -2(-8) = 16.

So, our particular solution is $y_p= \frac{8}{3}x^3-8x^2+16x$ .

Now, let's find the solution $y_p$ of the homogeneus equation $y''+y'=0$ with the method of constants coefficients. Let $y=e^{\lambda x}$

$y'=\lambda e^{\lambda x}$

$y''=\lambda^2e^{\lambda x}$

then $\lambda e^{\lambda x}+\lambda^2 e^{\lambda x} = 0$

$e^{\lambda x}(\lambda +\lambda^2)= 0$

$(\lambda +\lambda^2)= 0$

$\lambda (1+\lambda)= 0$

$\lambda =0$ and $\lambda)= -1$ .

So, $y_h = C_1 + C_2e^{-x}$ and the solution is

$y=y_p+y_h =\frac{8}{3}x^3-8x^2+16x+ C_1 + C_2e^{-x}$ .

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2 years ago

HELP I WILL MARK BRAINLIEST

nadezda [96]

When you divide by a fraction, flip the fraction over and change divide to multiply:

3/2 / 1/8 would become:

3/2 x 8/1

8/1 simplifies to 8

You get:

3/2 x 8 = 12

The answer is:

Three-halves times 8 = 12

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2 years ago

Ms. Abrams receives a 4% commission plus a salary of $275.00 per week. If her total sales for one week are $2,880.00, how much d

suter [353]

4% = 0.04

multiply percent by sales to get total commission:

2,880 * 0.04 = 115.20

add that to her base pay:

275 + 115.20 = $390.20 total earned

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3 years ago

Multiplying and Dividing Rational Numbers

Dafna11 [192]

Answer:

the answer is 9.9

Step-by-step explanation:

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3 years ago