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VMariaS [17]
4 years ago
12

Please help me out on this question

Mathematics
2 answers:
Digiron [165]4 years ago
5 0
4 degrees Fahrenheit. 
Gennadij [26K]4 years ago
3 0
I hope it helps you...

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How do you do this question?
zmey [24]

Step-by-step explanation:

ln(n) is smaller than n for all n ≥ 1.

Therefore, ln(n) / n⁴ is smaller than n / n⁴ = 1 / n³.

1 / n³ converges (p series test).  Therefore, the smaller function ln(n) / n⁴ also converges.

5 0
3 years ago
Write a numerical expression for the calculation.
77julia77 [94]

Answer:246.475

Step-by-step explanation:

79+167+19/40

8 0
3 years ago
How do you answer this?
gulaghasi [49]

Answer:

  75.7°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle. You are given all three sides of the triangle, so you can make use of at least two different trig functions to find the missing angle.

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

__

<h3>cosine</h3>

The hypotenuse is 65, and the side adjacent to the unknown angle is 16. That tells you ...

  cos(?) = 16/65

The inverse function is used to find the angle value:

  ? = arccos(16/65) ≈ 75.7°

__

<h3>tangent</h3>

The side opposite the angle of interest is 63. Then you have ...

  tan(?) = 63/16

The inverse function is used to find the angle value:

  ? = arctan(63/16) ≈ 75.7°

_____

<em>Additional comments</em>

When using trig functions on a calculator, you need to make sure the angle mode is set to what you want. Here, we want angles in degrees, so we have set that as the angle mode. The [DEG] icon in the lower left corner of the display confirms this.

We can't tell what you're supposed to round the value to. The attachment gives enough digits for you to be able to round to whatever precision you need.

5 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
4 years ago
Consecutive angles in a parallelogram are?
IrinaVladis [17]
I'm pretty sure d sorry if not right
7 0
4 years ago
Read 2 more answers
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