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labwork [276]
2 years ago
10

The equation C(l) = l3 – l2 + l + 2.5 models the cost to mail a package as a function of its length. To the nearest quarter inch

, approximately what is the length of a package that costs $11.00 to mail? Enter your answer as a decimal.​
Mathematics
1 answer:
____ [38]2 years ago
5 0

Answer:

2.25

Step-by-step explanation:

Given the cost model:

C(l) = l3 – l2 + l + 2.5

l = Length fo package

The length of a package that cost $11.00

11 = l³ - l² + l + 2.5

From the table given :

Length of mail which cost $11 will just be slightly greater Than 2 as the cost of 2 length mail cost 8.50

Taking l as 2.20

2.2^3 - 2.2^2 + 2.2 + 2.50 = 10.508

Taking a slightly higher value :

Put l = 2.25

2.25^3 - 2.25^2 + 2.25 + 2.50 = 11.078

Ww can conclude that the length of mail would be 2.25

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39<br> 125°<br> Find the value of x
Savatey [412]

Answer:

Step-by-step explanation:

The sum of the interior angles of this triangle must be 180 degrees.

Thus, angle x is 180 degrees less (39 degrees plus 125 degrees), or

x = 180 degrees - 164 degrees = 16 degrees.

Because of the 125 degree angle, this is an obtuse triangle.

8 0
2 years ago
A box has 1 red marble, 3 blue marbles, and 4 green marbles. Maya draws a blue marble randomly from the box, replaces it, and th
allochka39001 [22]

Answer:

\dfrac{9}{64}

Step-by-step explanation:

Sampling with replacement means that we choose a marble, note its colour, put it back and shake the box, then choose a marble again.

There are 1+3+4=8 marbles in total. The probability that the first chosen marble is blue is \dfrac{3}{8}. then Maya replaces this marble and the probability of choosing the second blue marble is the same. Using the product rule, the probability of drawing 2 blue marbles in a row is

\dfrac{3}{8}\cdot \dfrac{3}{8}=\dfrac{9}{64}.

6 0
3 years ago
Evaluate 8(7x--3) when x=9
Schach [20]

I will assume that by "Evaluate 8(7x--3) when x=9" you meant:

"Evaluate 8(7x-3) when x=9."

First, substitute 9 for x in 7x-3: 7(9)-3 = 60. Rewrite the problem as:

8(60). Multiply. Answer: 480

5 0
2 years ago
I need the answer hurry please
denis23 [38]
For all of the questions or only one-?
3 0
2 years ago
For a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. How much did the family spend on
xxTIMURxx [149]

Answer:

1) The amount the family spent on pizza is $300

2) The amount the family spent on soda is $43.2

3) The amount the family spent in all is $343.2

Step-by-step explanation:

The number of pizzas bought by the family = 24

The price of each pizza = $12.50

The number of bottles of soda the family bought = 36

The price of each bottles of soda = $1.20

1) The amount the family spent on pizza = 24 × $12.50 = $300

2) The amount the family spent on soda = 36 × $1.20 = $43.2

3) The amount the family spent in all = The amount the family spent on pizza + The amount the family spent on soda

∴ The amount the family spent on soda = $300 +$43.2 = $343.2.

7 0
2 years ago
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