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ExtremeBDS [4]
3 years ago
10

Miguel’s teacher asked him to color 4/8 of his grid. He must use 3 colors: red, blue, and green. There must be more green sectio

ns than red sections. how can Miguel color the sections of his grid to follow all the rules.
Mathematics
1 answer:
wolverine [178]3 years ago
7 0
Color 2/8 of grid in green, 1/8 grid in red and 1/8 grid in blue
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Calculate the volume of the prism by first finding the total number of half-unit cubes that will fill it. There are 8 half-unit
Tema [17]

Answer: 3

Step-by-step explanation: QPEX VERIFIED JUST DID IT

4 0
2 years ago
(a) By inspection, find a particular solution of y'' + 2y = 14. yp(x) = (b) By inspection, find a particular solution of y'' + 2
SOVA2 [1]

Answer:

(a) The particular solution, y_p is 7

(b) y_p is -4x

(c) y_p is -4x + 7

(d) y_p is 8x + (7/2)

Step-by-step explanation:

To find a particular solution to a differential equation by inspection - is to assume a trial function that looks like the nonhomogeneous part of the differential equation.

(a) Given y'' + 2y = 14.

Because the nonhomogeneus part of the differential equation, 14 is a constant, our trial function will be a constant too.

Let A be our trial function:

We need our trial differential equation y''_p + 2y_p = 14

Now, we differentiate y_p = A twice, to obtain y'_p and y''_p that will be substituted into the differential equation.

y'_p = 0

y''_p = 0

Substitution into the trial differential equation, we have.

0 + 2A = 14

A = 6/2 = 7

Therefore, the particular solution, y_p = A is 7

(b) y'' + 2y = −8x

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x

2Ax + 2B = -8x

By inspection,

2B = 0 => B = 0

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x

(c) y'' + 2y = −8x + 14

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = -8x + 14

2Ax + 2B = -8x + 14

By inspection,

2B = 14 => B = 14/2 = 7

2A = -8 => A = -8/2 = -4

The particular solution y_p = Ax + B

is -4x + 7

(d) Find a particular solution of y'' + 2y = 16x + 7

Let y_p = Ax + B

y'_p = A

y''_p = 0

0 + 2(Ax + B) = 16x + 7

2Ax + 2B = 16x + 7

By inspection,

2B = 7 => B = 7/2

2A = 16 => A = 16/2 = 8

The particular solution y_p = Ax + B

is 8x + (7/2)

8 0
3 years ago
The second angle of a triangle is three times as large as the first angle. The third angle is 40° greater than the first angle.
viktelen [127]
30 70 90 are the angles of the triangle hope this is helpful
7 0
3 years ago
If sin(2x) = cos(x + 30"), what is the value of x?<br> 20°<br> 30°<br> 500<br> 1100
ivanzaharov [21]

Answer:

2x=(x+30)

2x+x=30

3x=30

x=30÷3

x=10

7 0
3 years ago
Read 2 more answers
What is the slope of the line represented by the equation below?y=-2/3x+3 A-2/3 B. 2/3 C.2 D.x
Black_prince [1.1K]

ANSWER

A.

-  \frac{2}{3}

EXPLANATION

The given equation is

y =  -  \frac{2}{3}x + 3

This equation is already in the form:

y =mx + b

This is called the slope-intercept form.

The slope is

m =  -  \frac{2}{3}

and the y-intercept is 3.

The correct answer is A.

In a situation where the line is not given in the slope intercept form, then you must rewrite in this form before comparing.

8 0
2 years ago
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