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Ivan
2 years ago
14

−4 + [12 × (−8)] – 62

Mathematics
2 answers:
Ymorist [56]2 years ago
8 0

Answer:

-162

Step-by-step explanation:

that the answer

GarryVolchara [31]2 years ago
3 0

Answer:

-162

Step-by-step explanation:

Multiply: −4 + [12 × (−8)] – 62

Remover parentheses: -4 + (-96) – 62

Calculate sum: -4 – 96 – 62

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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
Carl wants to plant a garden that is 1 1/2 and has an area of 3 1/2 square yards. how wide should it be
yan [13]
It should be 2.33333.... wide. Hope it help!
4 0
2 years ago
I need help with this problem​
maxonik [38]

Answer:

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6 0
3 years ago
What value(s) of x will make x to the 2nd power =9 true​
Anastaziya [24]

Answer:

x = 3 , X = -3

In x 2 = 9 , you need to get rid of the power of 2 in order to isolate just x This involves finding the square root. √ x 2 = x However there are 2 possible answers to a square root, a positive or a negative answer. x = ± √ 9 x = ± 3

3 0
3 years ago
The wheels on a bike have a 12 inch diameter. What is the circumference? c=Pi,d
aniked [119]

Hey!

To find circumference, yo multiply \pi by diameter.

Diameter = 12 \\ \pi = 3.14

Multiply

3.14 \times 12 = 37.68

The circumference is 37.68 inches

Hope this helps! :)

3 0
3 years ago
Read 2 more answers
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