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kodGreya [7K]
2 years ago
14

The 300 people who were lined up outside the amusement park had all entered by 8:15 a.m. By 8:30, 550 more had entered. The numb

er who entered each 15 minutes increased steadily by 250 after that. All of the people were planning to stay for the parade at noon. a. How many people entered between 11:45 and noon, just in time for the parade ? b. Represent the problem as a series and write a formula for the nth term.
Mathematics
1 answer:
Tasya [4]2 years ago
7 0

Answer:

250; p= 300 + \frac{50}{3}t

Step-by-step explanation:

a. 15 minutes passed, so there would be 250 people who came in

b. You would create a formula, where t = time after 8:15 (in minutes), while p = people who are at the parade

300 + \frac{250}{15}t = p, which equals p= 300 + \frac{50}{3}t

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The cost of producing x bags of dog food is given by C(x) = 800 + 400 + 10x - x where 0 SX 55000. Find the marginal-cost functio
nikdorinn [45]

Answer:

The marginal-cost function is;

c'(x)= (20x-1)/(2√(400 + 10x² - x))

Completed question;

The cost of producing x bags of dog food is given by C(x) = 800 + √(400 + 10x² - x) where 0≤x≤55000. Find the marginal-cost function.

The marginal-cost function is c'(x)=

(Use integers or fractions for any numbers in the expression.)

Step-by-step explanation:

The marginal-cost function is c'(x)= = dC(x)/dx

Where;

C(x) = 800 + √(400 + 10x² - x)

c'(x) = d(800 + √(400 + 10x² - x) )/dx

Using function of function rule of differentiation or chain rule;

c'(x) = (20x-1)×(1/2√(400 + 10x² - x))

c'(x) = (20x-1)/(2√(400 + 10x² - x))

The marginal-cost function is;

c'(x)= (20x-1)/(2√(400 + 10x² - x))

3 0
2 years ago
The double number line shows that 444 bottles of water cost 101010 dollars at a music festival. Based on the ratio shown in the
MrRissso [65]

Answer:

Please see the attachment for double number line.

Explanation:

We are given cost of 4 water bottles is $10

We can write ,

Cost of 4 bottles = $10

Cost of 1 bottle = $2.5

Cost of 2 bottles =$5

Cost of 3 bottles = 3\times 2.5 = $7.5

Cost of n bottles = $2.5n

Now we draw the double number line.

Bottom line(Line 1)  will take as number of bottles:  

1   2   3   4   5   6  

Above line (Line 2) will show the cost of corresponding number of bottles:

2.5  5  7.5  10  12.5  15  


 


4 0
2 years ago
Read 2 more answers
Ariana starts with 100 milligrams of a radioactive substance. The amount of the substance decreases by 20% each week for a numbe
Kruka [31]

Answer:

  D.  It is the product of the initial amount and the decay factor after w weeks.

Step-by-step explanation:

We are told that Ariana starts with 100 milligrams of the substance. The number 100 in the expression likely represents this amount, <em>the initial amount</em>. It is multiplied by another number, so is part of a product. (It is not part of a difference, and is not something that is raised to a power.)

The factor (1 -0.2) represents the fraction remaining at the end of a week. That number raised to the power w will represent the fraction remaining at the end of w weeks. This fraction can reasonably be referred to as "the decay factor after w weeks."

Hence, the expression represents ...

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6 0
2 years ago
Can someone help me with this please
Elanso [62]

Answer:

Step-by-step explanation:

4) the first thing to notice is that the sides a and c are the same.. that's what the small marks are telling  you...  that are the same length. and since they are.. this is an isosceles triangle and the two angle at the base  .. along the b side will be the same.. so solving y is just the same as  A or 52°

then to solve for x we also need to use that the triangle add up to 180° on those inside angles..

180= 52+52+14x+6

maybe you can solve it from here.. but i'll do it quickly

70 = 14x

5=x

5) the exterior angle at C is 146 the total angle is 180 so the angle inside the triangle is 180=146+x      x= 34°

then use that the interior of the triangle add up to 180 again

180 = 34 + 5y+3 + 4y + 8

180 = 45 +9y

135 =9y

15 = y

:)

5 0
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