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taurus [48]
3 years ago
14

The number of widgets that a manufacturing plant can produce varies jointly as the number of workers and the time that they have

worked. Find the constant of proportionality k to 2 decimal places if 305 workers work 2 hours and can produce 5880.4 widgets
Mathematics
1 answer:
marysya [2.9K]3 years ago
7 0

Answer:

k = 9.64

Step-by-step explanation:

given data

workers w = 305

time t = 2 hour

produce widgets N = 5880.4

solution

we know that here

N  ∝ w × t   .....................1

when we remove directly proportional so here k constant

so equation will be

N = k × w × t    .....................1

put here value and we get

5880.4  =  k × 305 × 2

solve it we get k

k = 9.64

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Imma give 99 points for this problem + brainliest answer + a thanks + 5 star rating
umka2103 [35]
PART A) 11.04 = 10(1.02)^n 1.104 = 1.02^n
 ln 1.104 = ln 1.02^n 
ln 1.104 = n ln 1.02 n = ln 1.104/ ln 1.02 n = 4.99630409516
 4.99 can be rounded to 5.
 So a reasonable domain would be 0 ≤ x < 5
 
PART B) f(0) = 10(1.02)^0 f(0) = 10(1) f(0) = 10 
The y-intercept represents the height of the plant when they began the experiment. 

PART C) f(1) = 10(1.02)^1 f(1) = 10(1.02) f(1) = 10.2 (1, 10.2) f(5) = 10(1.02)^5 f(5) = 10(1.1040808) f(5) = 11.040808 (5, 11.040808) 
 The slope represents how much the plant is growing every day.
8 0
3 years ago
Find the ordered pairs for x and y intercepts of the equation 3x - 2y =18
My name is Ann [436]
                  
                                                           3x - 2y = 18
Wherever the line crosses the
x-axis, y=0.                                         3x        = 18
                                                             x        =  6
The x-intercept is                                    (6, 0)  .


                                                           3x - 2y = 18
Wherever the line crosses the
y-axis,  x=0.                                            - 2y = 18
                                                                   y = -9
The y-intercept is                                        (0, -9)  .

8 0
3 years ago
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Question 9
netineya [11]

Answer: 5

Step-by-step explanation: divion

7 0
3 years ago
I require help with this problem.
ira [324]

Answer:

a.) Locker A is bigger. Locker A has a volume of 324 cubic feet, while Locker B has a volume of 306 cubic feet.

b.) it cost $113.40 per month

Step-by-step explanation:

a.) 6x6x9= 324ft3 and thats larger than 306 cubic feet

b.)324*0.35=113.4

8 0
3 years ago
A circle has radius 9.5 cm. Find the length of the arc intercepted by a central angle with measure 120°​
Black_prince [1.1K]

Answer:

Step-by-step explanation:

Discussion

If the radius goes through 1 rotation. The "angle" gone through is 360 degrees. So the method is to figure out circumference of the circle, multiply this by a fraction involving 120, and you are done.

Formula

Arc Length = (120/360) * 2 * pi * r      Substitute values into this equation.

Givens

Central angle = 120

r = 9.5

Solution

Arc Length = (120/360) * 2 * 3.14 * 9.5

Arc Length = (0.333) * 2 * 3.14 * 9.5

Arc Length = 19.87 cm

8 0
2 years ago
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