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2 years ago

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Elena works at least 4 hours but not more than 8 hours. the amount of money elena earns for working t hours is represented by a

function. p(t)=9.5t what is the practical domain of the function? all real numbers from 4 to 8, inclusive. all integers from 4 to 8, inclusive. all real numbers. all multiples of 9.5 between 38 and 76, inclusive

2 answers:

kogti [31]2 years ago

7 0

Let

t-------> the number of hours

P(t)----> the amount of money Elena earns

we know that

$P(t)=9.5t$

$t\geq 4\ hours$

$t \leq 8\ hours$

so

$4\ hours \leq t \leq 8\ hours$

The practical domain of the function is the interval----> $[4,8]$

that means

all real numbers from $4$ to $8$ , inclusive

therefore

<u>the answer is the option</u>

all real numbers from $4$ to $8$ , inclusive

tensa zangetsu [6.8K]2 years ago

3 0

Answer:

all real numbers from 4 to 8, inclusive

Step-by-step explanation:

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The Coca-Cola Company reported its 1Q 2014 results on or before April 14, 2014

AVprozaik [17]

Thanks for sharing my guy, very cool

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2 years ago

When performing a horizontal analysis on an income statement, the percentage change in any individual item is calculated by div

oksian1 [2.3K]

Answer: <em><u>C. the base period amount.</u></em>

<u><em>Explanation: </em></u>While implementing a horizontal analysis on a given income statement, we compute a percentage change in any individual item by dividing the dollar amount of change from base to current time period with <u><em>the base period amount.</em></u>

i.e. % Change in Individual item = $\frac{Current\ Dollar\ - Base\ Dollar }{Base \ period \ amount}$

<u><em>Therefore, the correct option in this case is (c)</em></u>

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2 years ago

Brad measured the length of an object as 2.1 * 10^4 cm. Which items might he have measured? Check all that apply.

Airida [17]

Answer with explanation:

Length of an object

$=2.1\times 10^4\\\\=2.1 \times 10000\\\\=21,000$ cm

Other unit of measurement are Meter and Kilometer.

→1 Meter = 100 cm

→1 Kilometer= 1,000 meter=100,000 cm

→→21,000 cm = 210 meter = 0.21 Km

Option B:→ length of a city park, is most suitable measurement ,among all other measurement ,that Brad has done.

Second option Might be: Option A→ Length of a city block , may be That Brad has measured.

All other options are Inappropriate, as they require smaller scale or may be larger Scale ,that brad has used to measure

1.≡ Height of a person →→→240 cm (Maximum of 8 feet)

2. ≡Distance across a city →→→1 Km or 2 Km or 3 Km...

3. ≡Height of an apple tree→→→1,000 cm (Maximum)

4. ≡Width of a screen in a theater→→→2,100 cm (Maximum)

5 ≡depth of water in a swimming pool→→→225 cm

None of the five things described above appears, that brad has measured.

7 0

2 years ago

Read 2 more answers

consider the followin polynomials equations a=3x2(x-1) b= -3x3+4x2-2x+1 . perform each operation and determine if the result is

Sedaia [141]

Answer:

All three operations lead to polynomials.

See explanations below.

Step-by-step explanation:

Polynomial a = $3x^2(x-1)=3x^3-3x^2$

Polynomial b = $-3x^3+4x^2-2x+1$

Therefore:

a + b = $3x^3-3x^2+(-3x^3+4x^2-2x+1)=\\=3x^3-3x^2-3x^3+4x^2-2x+1=\\=x^2-2x+1$

where we have combined all like terms. This is clearly another polynomial (of grade 2)

a - b (here we need to flip all signs inside the parenthesis when we remove this grouping symbol): $3x^3-3x^2-(-3x^3+4x^2-2x+1)=\\3x^3-3x^2+3x^3-4x^2+2x-1=\\6x^3-7x^2+2x-1$

which is clearly another polynomial (but of grade 3)

a * b : (here we use distributive property to multiply each term of the first polynomial by each term of the second one, and then combine like terms)

$(3x^3-3x^2)*(-3x^3+4x^2-2x+1)=\\-9x^6+12x^5-6x^4+3x^3+9x^5-12x^4+6x^3-3x^2=\\-9x^6+21x^5-18x^4+9x^3-3x^2$ which is indeed another polynomial (this time of grade 6)

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2 years ago

John painted his most famous work,in his country,in 1930 on composition board with perimeter 103.48 in. If the rectangular paint

Alexxandr [17]

Answer:

Width $=22.955$ in

length $=28.785$ in

Step-by-step explanation:

let width $=x$

painting is $5.83$ in taller than it is wide

length $=x+5.83$

Perimeter of rectangle $=2$ (length+width)

Perimeter of painting $=103.48$

$2(x+x+5.83)=103.48\\2x+5.83=51.74\\2x+51.74-5.83\\2x=45.91\\x=\frac{45}{2} \\x=22.955$

width $=x=22.955$ in

length $=x+5.83=22.955+5.83=28.785$ n

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2 years ago