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pishuonlain [190]
3 years ago
7

!HELP! Which expression is equivalent to the given expression? (10c^6 d^-5) (2c^-5 d^4)

Mathematics
1 answer:
Aliun [14]3 years ago
8 0

Answer: 2343

Step-by-step explanation:

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Which choice is the explicit formula for the following geometric sequence?0.5, -0.1, 0.02, -0.004, 0.0008, ...
Minchanka [31]
a_1=0.5\\a_2=-0.1\\a_3=0.02\\a_4=-0.004\\a_5=0.0008\\\\a_n=a_1\cdot q^{n-1}\\\\q=a_2:a_1\to q=-0.1:0.5=-0.2\\\\a_n=0.5\cdot(-0.2)^{n-1}=0.5\cdot(-0,2)^n\cdot(-0.2)^{-1}\\\\=0.5\cdot(-0.2)^n\cdot(-5)=-2.5\cdot(-0.2)^n\\\\\boxed{a_n=-2.5\cdot(-0.2)^n}
6 0
3 years ago
A jewelry store received a package of rings that is 16 inches long, 10 inches wide, and 12 inches high. The package contains 1 -
masya89 [10]
About 1920, just find the volume by multiplying length times width times height
and divide that by the 1-inch cubes. hope this helps
8 0
3 years ago
Question in pic! help asapp! will give brainliest!
Yuliya22 [10]

Answer:

4/x^7

Step-by-step explanation:

4x^-7 = 4*  x^-7 = 4* 1/x^7 = 4/x^7

3 0
3 years ago
Read 2 more answers
In problem solve the given differential equation by underdetermined coefficients y''-2y+y=xe^x
Alexus [3.1K]

Answer:

Solution is y(t)=C_1e^x+C_2xe^x+\frac{x^3e^x}{6}

Step-by-step explanation:

Given Differential Equation,

y"-2y'+y=xe^x ...............(1)

We need to solve the given differential equations using undetermined coefficients.

Let the solution of the given differential equation is made up of two parts. one complimentary solution and one is particular solution.

\implies\:y(x)=y_c(x)+y_p(x)

For Complimentary solution,

Auxiliary equation is as follows

m² - 2m + 1 = 0

( m - 1 )² = 0

m = 1 , 1

So,

y_c(x)=C_1e^x+c_2xe^x

Now for particular solution,

let y_p(x)=Ax^3e^x

y'=Ax^3e^x+3Ax^2e^x

y"=Ax^3e^x+6Ax^2e^x+6Axe^x

Now putting these values in (1), we get

Ax^3e^x+6Ae^2e^x+6Axe^x-2(Ax^3e^x+3Ax^2e^x)+Ax^3e^x=xe^x

Ax^3e^x+6Ae^2e^x+6Axe^x-2Ax^3e^x-6Ax^2e^x+Ax^3e^x=xe^x

6Axe^x=xe^x

6A=1

A=\frac{1}{6}

\implies\:y_p(x)=\frac{x^3e^x}{6}

Therefore, Solution is y(t)=C_1e^x+C_2xe^x+\frac{x^3e^x}{6}

8 0
3 years ago
I need the steps to this problem, please!
FinnZ [79.3K]
Hello Ashley!

This is an isosceles triangle. How do we know? Well, the two little bar they put means that it is isosceles. When you add all the angles together, you MUST find them equal to 180. Another you need to keep in mind is that the angle that are face to face with each other are ALWAYS equal.

Too much talking...we gonna solve the problem.

x + x + 72 = 180
2x + 72 = 180
2x = 180 - 72
2x = 108
x = 108/2
x= 54
That's the answer .

---------------------
What did we say earlier? We said that when we add all the angles together we MUST find them equal to 180. So, we gonna replace x by 54

54 + 54 + 72  = 180
180 = 180
So.. yes we got it right!

54 is the correct answer.

Good luck with your studies!



5 0
3 years ago
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