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Gala2k [10]
2 years ago
13

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Let f(t) be the number of vinyl records s

old by a record company t years after 1950. Match each equation to the statement it models.

Mathematics
1 answer:
KIM [24]2 years ago
5 0
I FOUND YOUR COMPLETE QUESTION IN OTHER SOURCES.
 PLEASE SEE ATTACHED IMAGE.

 First, we define the variables:
 x: number of years after 1950
 f (x): amount of vinyl sold.
 Then, with the variables defined, we have:

 68594 vinyl records were sold in 1958 ---------> f (8) = 68594

 91299 vinyl records were sold in 1961 ---------> f (11) = 91299

 38720 vinyl records were sold in 1952 ---------> f (2) = 38720

 161743 vinyl records were sold in 1967 ---------> f (17) = 161743

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Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasolin
vovangra [49]

Complete question :

Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?

Answer:

$265,720

Step-by-step explanation:

Given that:

State gasoline tax = $0.26 per gallon

Average number of gasoline sold per day = 1,022,000 gallons

. From the availabke information given :

Revenue generated = gasoline tax per gallon multiplied by the average number of gallons sold

= $0.26 * 1,022,000

= $265,720

3 0
2 years ago
Drag a symbol to the first box and a number to the second box to complete the solution to this inequality. Each number or symbol
Over [174]

Answer:

z

Step-by-step explanation:

Given the inequality: -2(z + 5) + 20 > 6

Step 1: Distribute the bracket

-2(z + 5) + 20 > 6\\-2z-10+20>6\\-2z+10>6

Step 2: Subtract 10 from both sides

-2z+10-10>6-10\\-2z>-4

Step 3: Divide both sides by -2

Note that when you divide an inequality by a negative sign, the inequality sign is reversed.

-2z>-4\\\dfrac{-2z}{-2}< \dfrac{-4}{-2}\\\\$Therefore, $z

3 0
2 years ago
7. The length of a rectangular park is 2 km less than twice the width. The area of the park
hammer [34]

The length of the park is 3.36km and the width is 2.68km

<u>Explanation:</u>

The park is rectangular.

Let L be the length of the park.

Let w be the width of the park.

According to the question:

L = 2w - 2

Area of the park = 9km²

We know:

Area of rectangle = length X width

9 = (2w - 2) X (w)

9 = 2w² - 2w

2w² - 2w - 9 = 0

On solving the quadratic equation we get:

w = 2.68 km

we know:

L = 2w - 2

So,

L = 2 (2.68) - 2

L = 3.36 km

Therefore, the length of the park is 3.36km and the width is 2.68km

7 0
2 years ago
Determine whether the sequence an=12n3+22n3+⋯+n2n3 converges or diverges. if it converges, find the limit. note, ∑i=1ki2=k(k+1)(
vichka [17]

I guess the sequence is

a_n=\dfrac{1^2}{n^3}+\dfrac{2^2}{n^3}+\cdots\dfrac{n^2}{n^3}

which we can write as

a_n=\displaystyle\frac1{n^3}\sum_{k=1}^nk^2=\frac{n(n+1)(2n+1)}{6n^3}=\dfrac{2n^2+3n+1}{6n^2}

a_n converges if it is bounded and monotonic. Consider the function,

f(x)=\dfrac{2x^2+3x+1}{6x^2}=\dfrac13+\dfrac1{2x}+\dfrac1{6x^2}

which has derivative

f'(x)=-\dfrac1{2x^2}-\dfrac1{3x^3}

f' for all x>0, so f(x) is monotonically decreasing on (0,\infty), and as x\to\infty we have

\displaystyle\lim_{x\to\infty}f(x)=\dfrac13

So we know that a_n is monotonically decreasing and bounded below by \dfrac13.

To find the limit, we can also write

a_n=\dfrac{2+\frac3n+\frac1{n^2}}6

As n\to\infty, the rational terms vanish and we're left with

\displaystyle\lim_{n\to\infty}\frac26=\frac13

3 0
2 years ago
Item 15 A square wrestling mat has a perimeter of (12x−32)(12x−32) feet. Write an expression in simplest form that represents th
Oliga [24]
3x - 8  this is a simplified version but too late I think lol
7 0
2 years ago
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