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3 years ago

5mn^4 • 5m^2 n^3Does that even makes sense

Mathematics

1 answer:

xeze [42]3 years ago

8 0

Answer:

25m^3n^7

Step-by-step explanation:

Let's write out the equation

5mn^4 • 5m^2n^3

When we multiply exponents with similar bases, you add them together.

For example 2^2 • 2^2= 2^4

Numbers with no exponent are to the power of one

For example: 2= 2^1

Now that we know this, let's combine like terms

5 • 5=25

m^1•m^2=m^3

n^4•n^3=n^7

Answer: 25m^3n^7

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2 years ago

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3 years ago

Use the initial term and the recursive formula to find an explicit formula for the sequence an. Write your answer in simplest fo

Ipatiy [6.2K]

Answer:

$a_n = -11-14n$

Step-by-step explanation:

Given

$a_1 = -25$

$a_n = a_{n-1}-14$

Required

The explicit formula

First, calculate $a_2$

Set n=2; So:

$a_2 = a_{2-1}-14$

$a_2 = a_{1}-14$

Substitute -25 for $a_1$

$a_2 = -25-14$

$a_2 = -39$

Calculate the common difference (d)

$d = a_2 - a_1$

$d = -39 --25$

$d = -14$

So, the nth term is:

$a_n = a_1 + (n - 1)d$

$a_n = -25+ (n - 1)*-14$

Open bracket

$a_n = -25-14n + 14$

Collect like terms

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$a_n = -11-14n$

4 0

2 years ago

Bill needs to find the area of the ground covered by a conical tent. The tent is 12 feet tall and makes a 70° angle with the gro

Pie

Answer:

Step-by-step explanation:

To get the area of the cone we need to find the radius first.

tan 70=r/12

r=12tan 70

area of a circle is given by:

A=πr²

thus the area of the ground covered by the tent will be:

A=π(12tan70)²

The answer is

A] A=π(12tan70°)²

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2 years ago

Secants BE and CF intersect at point D inside A. What is the measure of CDE?

Aleks04 [339]

MCE = 360 - (150 + 70 + 50)
mCE = 360 - 270
mCE = 90

<CDE = 1/2(mBE + mCE)
<CDE = 1/2(150 + 90)
<CDE = 1/2(240)
<CDE = 120

answer
<CDE = 120°

6 0

3 years ago

5mn^4 • 5m^2 n^3Does that even makes sense ​

5mn^4 • 5m^2 n^3Does that even makes sense