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NARA [144]
3 years ago
7

Help? Question 11 & 12 pleasee help!!

Mathematics
1 answer:
stepladder [879]3 years ago
5 0

$4,200 / .12 =$35,000 her salary this year.

$35,000 - $3,000=$32,000 Her salary last year.

An equation representing this would look  something like this:

S=(C/I) - R, where, S=her salary last year, C=amount of her savings, I= rate of her savings, R=salary increase.

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Step-by-step explanation:

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Determine the domain and range for the relation
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Answer:

  • Domain: \mathbb{N}
  • Range: \mathbb{N}

Step-by-step explanation:

The domain is the set of x values and the range is the set of y-values.

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2H2S (g) + 3O2 (g) → 2H2O (l) + 2SO2 (g)

Calculate ΔH° from the given data. Is the reaction exothermic or endothermic?

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2 years ago
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Erin created a scale drawing for a garden that will be 10 ft by 5 ft. She plans to include a section in the garden for herbs, wh
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Answer:

The dimensions of the herb garden on the scale drawing are 2.4 by 6 inches

Step 1 (finding the scale factor):

12/10 (inches/feet) or 1.2 (inches/feet)

(1.2 inches<em> </em>in the <em>drawing</em> represent 1 foot in real life)

Step 2 (finding the dimensions of the herb garden on the scale drawing):

Real life dimensions are 2ft by 5ft so we multiply by the <em>scale factor</em>:

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2 years ago
Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.
Lelechka [254]

Answer:

1) \frac{(-2)^{-5}}{(-2)^{-10}}=-32

2) 2^{-1}.2^{-4} = \frac{1}{32}

3) (-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}

4) \frac{2}{2^{-4}} = 32

Step-by-step explanation:

1) \frac{(-2)^{-5}}{(-2)^{-10}}

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

\frac{(-2)^{-5}}{(-2)^{-10}}\\=(-2)^{-5+10}\\=(-2)^{5}\\=-32

So, \frac{(-2)^{-5}}{(-2)^{-10}}=-32

2) 2^{-1}.2^{-4}

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

We have:

2^{-1}.2^{-4}\\=2^{-1-4}\\=2^{-5}

We also know that: a^{-m}=\frac{1}{a^m}

Using this rule:

2^{-5}\\=\frac{1}{2^5}\\=\frac{1}{32}

So, 2^{-1}.2^{-4} = \frac{1}{32}

3) (-\frac{1}{2} )^3.(-\frac{1}{2} )^2

Solving:

(-\frac{1}{2} )^3.(-\frac{1}{2} )^2\\=(-\frac{1}{8} ).(\frac{1}{4} )\\=-\frac{1}{32}

So, (-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}

4) \frac{2}{2^{-4}}

We know that: a^{-m}=\frac{1}{a^m}

\frac{2}{2^{-4}}\\=2\times 2^4\\=2(16)\\=32

So, \frac{2}{2^{-4}} = 32

3 0
3 years ago
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