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2 years ago

8

Find the slope given these two points: (0,1) and (-3, 6). Once

1 answer:

Naya [18.7K]2 years ago

4 0

m=y2-y1/x2-x1

m = 6-1/-3-0

m=5/-3

the slope is negative because one of the number is negative.

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What are all the factors of 360?

Solnce55 [7]

The factors of 360 are: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

1 × 360 = 360
2 × 180 = 360
3 × 120 = 360
4 × 90 = 360
5 × 72 = 360
6 × 60 = 360
8 × 45 = 360
9 × 40 = 360
10 × 36 = 360
12 × 30 = 360
15 × 24 = 360
18 × 20 = 360

7 0

3 years ago

Use separation of variables to solve dy dx − tan x = y2 tan x with y(0) = √3. Find the value of c in radians, not degrees

a_sh-v [17]

Answer:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

Step-by-step explanation:

Rewrite the equation as:

$\frac{dy(x)}{dx}-tan(x)=y(x)^{2} *tan(x)$

Isolating $\frac{dy}{dx}$

$\frac{dy}{dx} =tan(x)+tan(x)*y^{2}$

Factor:

$\frac{dy}{dx} =tan(x)*(1+y^{2} )$

Dividing both sides by $(1+y^{2} )$ and multiplying them by $dx$

$\frac{dy}{1+y^{2} } =tan(x)dx$

Integrate both sides:

$\int\ \frac{dy}{1+y^{2} } = \int\ tan(x) dx$

Evaluate the integrals:

$arctan(y)=-log(cos(x))+C_1$

Solving for y:

$y(x)=tan(-log(cos(x))+C_1)$

Evaluating the initial condition:

$y(0)=\sqrt{3} =tan(-log(cos(0))+C_1)=tan(-log(1)+C_1)=tan(0+C_1)$

$\sqrt{3} =tan(C_1)\\arctan(\sqrt{3} )=C_1\\60=C_1$

Converting 60 degrees to radians:

$60degrees*\frac{\pi }{180degrees} =\frac{\pi }{3}$

Replacing $C_1$ in the diferential equation solution:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

3 0

2 years ago

the employees of a company were surveyed on questions regarding their educational background ( college degree) and marital statu

Llana [10]

Number employees N = 600

Then

Probability of Single + College degree = ?

Probability of single S = 100/600 = 1/6

Probability of College graduate G = 400/600 = 2/3

So then probability of both S and G is

Prob Single or Graduate = 1/6 + 2/3 = 1/6 + 4/6 = 5/6

. = 0.833

Then answer is

Probability of Single or Graduate = 5/6= 0.8333

Is also 83.33%

5 0

1 year ago

The numbers of bags of crisps sold per day in a general shop was recorded over 13 days.

Alona [7]

I just figured it out so I’ll answer it on this account lol.

Q1 = 32, Q2 = 45, Q3 = 52

Interquartile range = 52 - 32 = 20

Range = 68 - 21 = 47

6 0

2 years ago

In this figure, a and b are<br>A. vertical<br>B. equal<br>C. complementary.<br>D. supplementary.

Andreas93 [3]

It is a supplementary angle. D because the add up to 180.

8 0

3 years ago