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julsineya [31]
3 years ago
9

Write down the general zeroth order linear ordinary differential equation. Write down the general solution.

Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0

The zeroth derivative of a function y(x) is simply the function itself, so the zeroth order linear ODE takes the general form

y(x)=f(x)

whose solution is f(x).

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There are 72 students in the gym. 45 students are girls. The rest are boys. What is the ratio of boys to girls?
PIT_PIT [208]

Answer:

3 to 5

Step-by-step explanation:

To find the number of boys, take the total students and subtract the girls

72 -45 =27

We want the ratio of boys:girls

boys:girls

27:45

Divide each number by 9

27/9:45/9

3    : 5

3 0
3 years ago
Write the equation of the line that passes through (-1,8) and is parallel to the graph of y = 4x - 2
NikAS [45]

Answer:

When a line is parallel to another line, they have the same slope. So far the equation would be, y=4x+b. To find the value of b, substitute the given point into the equation.

8=4(-1)+b

8=-4+b

b=12

So, the equation of the line is y=4x+12.

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8 0
2 years ago
What is the arc length of the arc sub tended in a circle with radius 6 and an angle of 7 pi/ 8
KengaRu [80]

Answer:

Formula for the Arc length is given by:

\text{Arc length} = 2 \pi r \cdot \frac{\theta}{360^{\circ}}

As per the statement:

radius of circle(r) = 6 units

Angle (\theta) = \frac{7 \pi}{8} radian

Use conversion:

1 rad = \frac{180}{\pi}

\frac{7 \pi}{8} = \frac{180}{\pi} \cdot \frac{7 \pi}{8} = \frac{1260}{8} = 157.5^{\circ}

then;

substitute these given values we have;

Use value of \pi = 3.14

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot \frac{157.5^{\circ}}{360^{\circ}}

or

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot 0.4375

Simplify:

\text{Arc length}=16.485

Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units

7 0
3 years ago
A skydiver in a computer game free-falls from a height of 3000 meters at a
mylen [45]
H= -55t + 3000. Hope this helps!
8 0
2 years ago
A typical small bag of colored candies has about 135 candies in it, 27 of which is blue. At the rate, how many blue candies woul
Zielflug [23.3K]

Answer:

in a pile of 1000 colored candies, you'll find 200 of which are blue

Step-by-step explanation:

135 ÷ 27 = 5

ratio: 5:1

1000÷5 = 200

feel free to correct me if I'm wrong

7 0
3 years ago
Read 2 more answers
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