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3 years ago

Below is the step-by-step solution to the prob-

Mathematics

1 answer:

MakcuM [25]3 years ago

3 0

Answer:

Step-by-step explanation:

-4 + 4x = -pq

Add 4 to both sides

4x = -pq + 4

Divide both sides by 4

x = $\frac{-pq + 4}{4}$

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Round 25.789 to the nearest tenth

Akimi4 [234]

Answer:----------->

25.8

8 0

3 years ago

Read 2 more answers

Find the function of which is the solution of 36y"-48y'-48y=0 with initial conditions y1(0)=1. y1'(0)=0

lilavasa [31]

Answer:

$y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }$

Step-by-step explanation:

Let, $D=\frac{d}{dx}$

Now, us simplify the given differential equation and write it in terms of D,

$36y''-48y'-48y=0$

or, $3y''-4y'-4y=0$

or, $(3D^2-4D-4)y=0$

We have our auxiliary equation:

$3D^2-4D-4=0$

or, $(3D+2)(D-2)=0$

or, $D=2, - \frac{2}{3}$

Therefore our solution is,

$y=Ae^{2x}+Be^{- \frac{2}{3}x}$

and, $y'=2Ae^{2x}-\frac{2}{3}Be^{\frac{2}{3}x }$

Applying the boundary conditions, we get,

$A+B=1$

$2A-\frac{2}{3}B=0$

Solving them gives us,

$A=\frac{1}{4} ,B=\frac{3}{4}$

Hence,

$y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }$

4 0

3 years ago

Julia has 3 ribbons that are 12 inches each. how many 4 inch sections can she cut from the ribbon.

Ber [7]

Total length of all ribbons = 12 * 3 = 36 inch

Then, number of ribbons = 36/4 = 9

In short, Your Answer would be: 9 sections

Hope this helps!

6 0

3 years ago

What is 108 minus 36 explain please

Brrunno [24]

72. Explanation: 36+72=108.

5 0

3 years ago

Kim is creating a mosaic in her garden. She finds the tile below and wants to know the missing side length ‘x’. Calculate the mi

GrogVix [38]

Answer:

x = 7.99 cm

Step-by-step explanation:

By applying cosine rule in the given triangle,

AC² = AB² + BC² - 2(AB)(AC)cosC

Substitute the measures of the sides and the angle in this formula,

x² = 6² + 10² - 2(6)(10)cos(53°)

x² = 36 + 100 - 72.217

x² = 63.782

x = √(63.782)

x = 7.99 cm

8 0

3 years ago