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polet [3.4K]
4 years ago
8

Simplify the Expression. Clear explanation of monomials appreciated - Thanks!

Mathematics
1 answer:
Nataly [62]4 years ago
7 0
I think the answer is .4m^7n^8

Uhh I don’t know how to give it a clear explanation but all I did was multiply them

-0.8•-0.5= .4

M^2•m^5=m^7

n•n^7=n^8

Hope this helps some.
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Solve the differential equation
Sloan [31]

Answer:

f(x) = 3x^2+8

Step-by-step explanation:

We are given the first derivative of f(x) and the value of f(0).

To go from the first derivative to the original function, we integrate.

Therefore:

f(x) = \int {6x} \, dx

To integrate, we add 1 to the power and divide by the new power:

\int {6x} \, dx = \frac{6x^2}{2} =3x^2+C

Because we have an indefinite integral, we have to add the constant, c, to the end.

So: f(x) = 3x^2+C

We know f(0) so we can find the constant C.

f(0)=3(0)^2+C=8

C=8

Therefore f(x) = 3x^2+8

6 0
3 years ago
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Find the first derivative of f'(a) using first principle, for the given value of
patriot [66]

Answer:

12.4

Step-by-step explanation:

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3 years ago
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Alex73 [517]
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6 0
3 years ago
Adam and Kevin are standing 35 metres apart, on opposite sides of a flagpole. From Adam’s position, the angle of elevation of th
Nadusha1986 [10]
1. Lets' call:

 H: The height of the flagpole.
 x: The distance f<span>rom Adam’s position to the flagpole.
</span> y: The distance from Kevin’s position to the flagpole.

 2. So, we have:

 Tan(36°)=H/x ⇒ x=H/Tan(36°)    (i)

 Tan(50°)=H/y ⇒ y=H/Tan(50°)    (ii)

 3. We know that <span>Adam and Kevin are standing 35 meters apart. Then:
</span>
 x+y=35    (iii)

 4. Let's substitute (i) and (ii) in (iii):

 x+y=35
 H/Tan(36°)+H/Tan(50°)=35
 H(1/Tan(36°)+1/Tan(50°)=35

 5. When we clear "H", we obtain:

 H=35/(1/Tan(36°)+1/Tan(50°))
 H=15.79 meters

 How high is the flagpole?  

 The answer is: 15.79 meters
4 0
3 years ago
How many 4/3 cup servings are in 6 cups of soup <br> a. 4 1/3 <br> b. 4 1/2 <br> c. 8<br> d. 8 1/3
REY [17]

Answer:

B.) 4 1/2

Step-by-step explanation:

\frac{4}{3} x=6

x=\frac{9}{2}

9/2= 4 1/2

Hope this helped! :)

5 0
3 years ago
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