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Ket [755]
3 years ago
6

5.4572 rounded to the nearest thousandths

Mathematics
2 answers:
julsineya [31]3 years ago
6 0
The answer is 5.457, because 2 isn't greater than 5.
grandymaker [24]3 years ago
3 0
The answer would be 5.457
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<img src="https://tex.z-dn.net/?f=5%20%7B%7D%5E%7Bn%20%2B%201%7D%20%20%2B%205%20%7B%7D%5E%7Bn%20%2B%202%7D%20" id="TexFormula1"
alex41 [277]

Step-by-step explanation:

there 5^(n+1) + 5^(n+2) = 5^n x 5^1 + 5^n x 5^2 breaking them as x^(a+b) = x^a x x^b

then taking common 5^n from both terms

5 0
3 years ago
Simplify the following expression as much as you can use exponential properties. (6^-2)(3^-3)(3*6)^4
gtnhenbr [62]

Answer:

Simplifying the expression (6^{-2})(3^{-3})(3*6)^4 we get \mathbf{108}

Step-by-step explanation:

We need to simplify the expression (6^{-2})(3^{-3})(3*6)^4

Solving:

(6^{-2})(3^{-3})(3*6)^4

Applying exponent rule: a^{-m}=\frac{1}{a^m}

=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\

Factors of 18=2\times 3\times 3=2\times3^2

Factors of 6=2\times 3

Replacing terms with factors

=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\

Using exponent rule: (a^m)^n=a^{m\times n}

=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}

Using exponent rule: a^m.a^n=a^{m+n}

=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}

Now using exponent rule: \frac{a^m}{a^n}=a^{m-n}

=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108

So, simplifying the expression (6^{-2})(3^{-3})(3*6)^4 we get \mathbf{108}

7 0
3 years ago
Find the solution(s) to the equation sin(x/2) + cos x - 1 = 0 on the interval 0 less than or equal to x 2pie
quester [9]

Answer:

A: 0

B: pi/3

E: 5pi/3

Step-by-step explanation:

8 0
3 years ago
how is the formula for the area of a trapezoid related to the formula for the area of a parallelogram?
chubhunter [2.5K]

Answer:

They are related becasue if you find the area of a parallelogram then divide it by two then you have the area of a triangle

Step-by-step explanation:

3 0
4 years ago
Todd plans to swim 900 yards in a pool. So far Todd has swam 720 yards. What percentage of the total has Todd completed?
ella [17]

Answer:im pretty sure its 64.8

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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