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Lorico [155]
3 years ago
6

How big is the sun and how far is from the earth

Mathematics
1 answer:
ruslelena [56]3 years ago
4 0
The sun is 432,690 mi big and the distance from the sun to earth is 92.75 million mi
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Which histogram represents a data set with a mean of 4.5 and a standard deviation of 1.7?
AVprozaik [17]

Answer:

that would be the third one

Step-by-step explanation:

5 0
3 years ago
Which of the following inequalities represents all values of x for which the quotient below is defined? sqrt 21(x-1) divided by
Triss [41]

Answer:

the answer to your question is D

4 0
3 years ago
If a*b=a^2-b^3, then what is the value of 3*-2
mezya [45]
I think it’s -6 but I’m not sure
3 0
2 years ago
Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt
Paladinen [302]

Answer:

y(x)=4a\sqrt{3}* sin(x)-3a

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}

But:

\frac{1}{tan(x)} =cot(x)

So:

\frac{dy(x)}{dx} =cot(x)*(3a+y)

Multiplying both sides by dx and dividing both sides by 3a+y:

\frac{dy}{3a+y} =cot(x)dx

Integrating both sides:

\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx

Evaluating the integrals:

log(3a+y)=log(sin(x))+C_1

Where C1 is an arbitrary constant.

Solving for y:

y(x)=-3a+e^{C_1} sin(x)

e^{C_1} =constant

So:

y(x)=C_1*sin(x)-3a

Finally, let's evaluate the initial condition in order to find C1:

y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a

Solving for C1:

C_1=4a\sqrt{3}

Therefore:

y(x)=4a\sqrt{3}* sin(x)-3a

3 0
3 years ago
Write an equation for the graph below in terms of x
monitta

Answer:

x = y/2 - 1/2

Step-by-step explanation:

you can use the slope-intercept form of a line first, then change to terms of 'x'

y = mx + b    where 'm' is the slope and 'b' is the y-intercept

if we use two points on the line, such as (-1, -1) (0, 1), we can find the slope

m = 1-(-1) / 0-(-1)

m = 2/1

b = 1

Slope-Intercept form:  y = 2x + 1

in terms of 'x':

2x = y - 1

x = y/2 - 1/2

6 0
2 years ago
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