Answer: 5.6 ≤ x ≤ 24.13.
Step-by-step explanation:
Given, The graph of the function
. The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands.
In graph , On axis → number of calculators produced
On y-axis → profit made in thousands of dollars.
From the graph, the curve goes for y > 175 from x = 5.6 to x= 24.13 ( approx)
So, the reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
So, If the company wants to keep its profits at or above $175,000, reasonable constraints for the model 5.6 ≤ x ≤ 24.13.
The dots in the patterns are illustrations of a sequence or progression
- The number of dots in step 10 is 84
- The number of dots in step n is (n -1)^2+ 3
<h3>The number of dots in step 10</h3>
From the pattern, we have:
- Step 0 = 3 dots
- Step 1 = 4 dots
- Step 2 = 7 dots
- Step 3 = 12 dots
So, we have the following pattern

When n = 10, we have:

T10 = 84
This means that, there will be 84 dots in step 10 and there will be (n -1)^2+ 3 dots in step n
Read more about sequence at:
brainly.com/question/7882626
Answer:
Jeff finished first
Step-by-step explanation:
To solve this equation, I can either converts 2 minutes 2 seconds to seconds or convert 121 seconds to minutes
<u><em>CONVERT 2 MINUTES 2 SECONDS TO SECONDS</em></u>
60 seconds = 1 minutes
to convert 2 minutes 2 seconds to seconds, multiply 2 minutes by 60 and then add 2 seconds to it
2 x 60 = 120 seconds
120 seconds + 2 seconds = 122 seconds
Paul finished in 122 seconds while Jeff finished in 121 seconds. Jeff finished first
<u><em>CONVERT 121 SECONDS TO MINUTES</em></u>
60 seconds = 1 minutes
To convert 121 seconds to minutes, we have to divide by 60
121/60 = 2 minutes 1 second
Paul finished the race in 2 minutes 2 seconds while eff finished the race in 2 minutes 1 second. Jeff finished first
Answer:
Acceleration=5m/s^2
Step-by-step explanation:
F=ma
1000=200xa
a=1000/200
a=5m/s^2