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QveST [7]
1 year ago
5

Clay went for a run to prepare for a long distance race comin up. From his house, he ran 6. Miles directly north and then 8 mile

s directly west. From there he ran the diagonal distance back to his house. How many total miles did clay run?
Mathematics
1 answer:
elena-s [515]1 year ago
7 0

Answer:

Clay ran 24 miles in total.

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The constant-pressure specific heat of air at 25°C is 1.005 kJ/kg. °C. Express this value in kJ/kg.K, J/g.°C, kcal/ kg. °C, and
Mice21 [21]

Answer:

In kJ/kg.K - 1.005  kJ/kg degrees Kalvin.

In  J/g.°C  -  1.005 J/g °C

In kcal/ kg °C  0.240 kcal/kg °C

In Btu/lbm-°F   0.240 Btu/lbm degree F

Step-by-step explanation:

given data:

specific heat of air = 1.005 kJ/kg °C

In kJ/kg.K

1.005 kJ./kg °C = 1.005 kJ/kg degrees Kelvin.

In  J/g.°C

1.005 kJ./kg °C \times 1000/1kJ \times (1kg/1000 g) = 1.005J/g °C

In kcal/ kg °C

1.005 kJ./kg °C \times \frac{1 kcal}{4.190 kJ} = 0.240 kcal/kg °C

For   kJ/kg. °C to Btu/lbm-°F  

Need to convert by taking following conversion ,From kJ to Btu, from kg to lbm and from degrees C to F.

1.005 kJ./kg °C \times \frac{1 Btu}{1.055 kJ} \times \frac{0.453 kg}{1 lbm} \times \frac{5/9 degree C}{1 degree F} = 0.240 Btu/ lbm / degree F

1.005 kJ/kg C =  0.240 Btu/lbm degree F

8 0
2 years ago
The size of fish is very important to commercial fishing. A study conducted in 2012 found the length of Atlantic cod caught in n
devlian [24]

Answer:

The length of the longest 15% of Atlantic cod in this area is 53.79cm, roundeed to 2 decimal places.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.

In this problem, we have that:

A study conducted in 2012 found the length of Atlantic cod caught in nets in Karlskrona to have a mean of 49.9 cm and a standard deviation of 3.74 cm, so \mu = 49.9, \sigma = 3.74.

What is the length in cm of the longest 15% of Atlantic cod in this area?

We have to find the value of X for the value of Z that has a pvalue of 0.85.

Looking at the zscore table, we have that Z = 1.04 has a pvalue of 0.8508. So, we have to find the value of X when Z = 1.04, \mu = 49.9, \sigma = 3.74.

So

Z = \frac{X - \mu}{\sigma}

1.04 = \frac{X - 49.9}{3.74}

X - 49.9 = 3.8896

X = 53.7896

The length of the longest 15% of Atlantic cod in this area is 53.79cm, roundeed to 2 decimal places.

8 0
1 year ago
There are 15 people in a party, including Hannah and Sarah. We divide the 15 people into 3 groups, where each group has 5 people
Sindrei [870]

Answer:15/3

Step-by-step explanation:

5 0
1 year ago
Read 2 more answers
An online T-shirt store is having a sale. The original price of each T-shirt is p dollars. The store sells 20 T-shirts and earns
Mrac [35]
20p - 60 = 20p - 3*20 = 20(p-3)
4 0
1 year ago
Read 2 more answers
What is the present value of a $50,000 decreasing perpetuity beginning in one year if the discount rate is 7% and the payments d
Trava [24]

Answer:

Present Value = $1666666.67

Step-by-step explanation:

Present Value of a Growing Perpuity is calculated using the following formula

PV =D/(r - g)

Where D = Dividend

r = Discount Rate

g = Growth rate

D = $50,000

r = 7%

r = 7/100

r = 0.07

g = 4%

g = 4/100

g = 0.04

PV = D/(r-g)

Becomes

PV = $50,000/(0.07-0.04)

PV = $50,000/0.03

PV = $1,666,666.67

So the Present Value of the perpuity is $1,666,666.67

4 0
1 year ago
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