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3 years ago

Solve the equation -3 + 1/2n = 1/2 (-n + 14) in two different ways.

Mathematics

1 answer:

Lemur [1.5K]3 years ago

4 0

Answer:

Step-by-step explanation:

-3 + 1/2n = 1/2 (-n + 14)

distribute

-3 + 1/2n = -1/2n + 7

-1/2n

cancel out -1/2n

-3 = n + 7

-10 = n

subtract 7

n = -10

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a company making washing machines works out that the probability of a new washing machine working perfectly is 0.972 what is the

andreyandreev [35.5K]

Answer:

0.028

Step-by-step explanation:

1 - P good = P faulty

1 - 0.972 = 0.028

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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 $\mathbf{108}$

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3 years ago

Gerald has a garden in the shape of a square. The area, in square feet,

victus00 [196]

Answer:

x - 3

Step-by-step explanation:

We know that the area of a square is length times width.

We also know that a quadratic can be factored:

(x - 3)²

So if each side is (x - 3), then when we do length times width, we get x² - 6x + 9. So our answer is choice D.

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4 years ago

Can you solve the equation also? ( make sure to add the answer )

polet [3.4K]

Answer:

35-22=x

35-22=13

Step-by-step explanation:

Include units if necessary:

$35-$22=$13

8 0

3 years ago

Read 2 more answers

Solve the equation.

djverab [1.8K]

(y - 5)/3 = 1
y - 5 = 3 x 1 = 3
y = 3 + 5 = 8

6x + 29 = 5
6x = 5 - 29 = -24
x = -24/6 = -4

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4 years ago

Read 2 more answers