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Valentin [98]
3 years ago
6

Cortez's workout plan involves a total of 65 minutes of running and swimming. he burns 11 calories per minute when running and 9

calories per minute when swimming. let r represent the amount of time he spends running. write an expression to represent the amount of calories that he burns.
Mathematics
1 answer:
Aleks [24]3 years ago
6 0

The equation to model this would be 65 = 11r + 9s.

In this equation, we know that the total number he works is 65. We also know he burns 11 every time he runs for an hour. Therefore we can multiply 11 by r. We also know he burns 9 for every hour he spends swimming. Therefore we can multiply 9 by s.

When we put all three of these things together, we get 65 = 11r + 9s.

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Which function is an example of exponential decay?
malfutka [58]
<span>A.) y = 0.3(2)x 
These are exponential decay</span>
5 0
3 years ago
A machine is used to fill containers with a liquid product. Fill volume can be assumed to be normally distributed. A random samp
motikmotik

Answer:

There is no statistical evidence at 1% level to accept that    the mean net contents exceeds 12 oz.

Step-by-step explanation:

Given that a random sample of ten containers is selected, and the net contents (oz) are as follows: 12.03, 12.01, 12.04, 12.02, 12.05, 11.98, 11.96, 12.02, 12.05, and 11.99.

We find mean = 11.015

Sample std deviation = 3.157

a) H_0: \bar x= 12 oz\\H_a: \bar x >12

(Right tailed test)

Mean difference /std error = test statistic

\frac{11.015-12}{\frac{3.157}{\sqrt{10} } } \\=-0.99

p value =0.174

Since p >0.01, our alpha, fail to reject H0

Conclusion:

There is no statistical evidence at 1% level to accept that    the mean net contents exceeds 12 oz.

3 0
3 years ago
WORTH 20 PTS.
Alika [10]

Answer:

$150

61 mph is 11 mph over 50 mph; see where the 11 mph mark is on the graph, and go up on the line to see what the fine is ($150).

Hope this helps :)

4 0
3 years ago
What is the answer to x? Help ASAP
Brut [27]

Answer:

12

Step-by-step explanation:

2x + 24° = 4x ( being vertically opposite angles)

4x - 2x = 24°

2x = 24°

x = 24° / 2

x = 12°

Hope it will help :)

3 0
3 years ago
The equation
ra1l [238]
<h2>Explanation:</h2>

Let's use a trial and improvement method to find this solution.

Step 1. Let's choose x = 8.5

Substituting into the equation:

(8.5)^2+ 3(8.5) - 94=0? \\ \\ 72.25+25.5-94=0? \\ \\ 3.75\neq 0

Step 2. Let's choose x = 8.4

Substituting into the equation:

(8.4)^2+ 3(8.4) - 94=0? \\ \\ 70.56+25.2-94=0? \\ \\ 1.76\neq 0

Step 3. Let's choose x = 8.3

Substituting into the equation:

(8.3)^2+ 3(8.3) - 94=0? \\ \\ 68.89+24.9-94=0? \\ \\ -0.21\neq 0

Since the sign of the equation changes from positive to negative when evaluating from 8.4 to 8.3, then x = 8.3 seems to be a reasonable value. Finally, the solution to 1 decimal place is:

x=8.3

6 0
3 years ago
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