A patient is ordered to receive sodium supplementation by intravenous infusion of a sodium phosphate dibasic solution [Na2H PO4 , MW=141.96 g/mol]. The patient is ordered to receive 0.5 mEq of Na + ions per hour.
A 500 mL intravenous bag is prepared that contains 47 mL of a 1% solution of sodium phosphate dibasic. What should be the infusion rate (in units of mL/min) necessary to produce the ordered dose of 0.5 mEq/hr of sodium?
(Note: Consider the total solution volume to be 500 mL. Also assume the sodium phosphate dibasic salt completely disassociates in solution. Please do not assume the specifics of this question are exactly clinically relevant due to the variability in this question.)
In: Advanced Math
2015 data
| Company Name | Social and Environmental Performance Score |
| company 1 | 44.39 |
| company 2 | 52.75 |
| company 3 | 32.05 |
| company 4 | 49.94 |
| company 5 | 62.56 |
| company 6 | 63.05 |
| company 7 | 56.52 |
| company 8 | 59.95 |
| company 9 | 58.07 |
| company 10 | 63.14 |
| company 11 | 49.48 |
| company 12 | 61.51 |
| company 13 | 47.78 |
| company 14 | 50.51 |
| company 15 | 44.76 |
| company 16 | 53.38 |
| company 17 | 58.44 |
| company 18 | 59.30 |
| company 19 | 43.75 |
| company 20 | 48.54 |
| company 21 | 46.58 |
| company 22 | 61.95 |
| company 23 | 54.44 |
| company 24 | 56.13 |
| company 25 | 53.54 |
| company 26 | 59.41 |
| company 27 | 57.52 |
| company 28 | 58.55 |
| company 29 | 48.97 |
| company 30 | 61.01 |
| company 31 | 53.17 |
| company 32 | 50.01 |
| company 33 | 54.84 |
| company 34 | 53.91 |
| company 35 | 54.64 |
| company 36 | 53.26 |
| company 37 | 61.47 |
| company 38 | 60.25 |
| company 39 | 59.70 |
| company 40 | 54.08 |
| company 41 | 65.29 |
| company 42 | 50.28 |
| company 43 | 64.88 |
| company 44 | 45.31 |
| company 45 | 50.07 |
| company 46 | 60.58 |
| company 47 | 52.04 |
| company 48 | 47.74 |
| company 49 | 66.16 |
| company 50 | 60.17 |
In: Advanced Math
Let A = { a , b } A = { a , b } and B = P ( A ) . B = P ( A ) .
Prove that [ B ; ∪ , ∩ , c ] [ B ; ∪ , ∩ , c ] is a Boolean algebra.
Write out the operation tables for the Boolean algebra.
In: Advanced Math
In: Advanced Math
1. Calculating inflation using a simple price index
Consider a fictional price index, the College Student Price Index (CSPI), based on a typical college student’s annual purchases. Suppose the following table shows information on the market basket for the CSPI and the prices of each of the goods in 2017, 2018, and 2019.
The cost of each item in the basket and the total cost of the basket are shown for 2017.
Perform these same calculations for 2018 and 2019, and enter the results in the following table.
|
Quantity in Basket |
2017 |
2018 |
2019 |
||||
|---|---|---|---|---|---|---|---|
|
Price |
Cost |
Price |
Cost |
Price |
Cost |
||
|
(Dollars) |
(Dollars) |
(Dollars) |
(Dollars) |
(Dollars) |
(Dollars) |
||
| Notebooks | 10 | 3 | 30 | 3 | 4 | ||
| Calculators | 1 | 75 | 75 | 80 | 104 | ||
| Large coffees | 300 | 2 | 600 | 2 | 2 | ||
| Energy drinks | 75 | 2 | 150 | 4 | 5 | ||
| Textbooks | 8 | 90 | 720 | 110 | 120 | ||
| Total cost | 1,575 | ||||||
| Price index | 100 | ||||||
Suppose the base year for this price index is 2017.
In the last row of the table, calculate and enter the value of the CSPI for the remaining years.
Between 2017 and 2018, the CSPI increased by
. Between 2018 and 2019, the CSPI increased by
.
Which of the following, if true, would illustrate why price indexes such as the CSPI might overstate inflation in the cost of going to college? Check all that apply.
Professors required each student to buy eight textbooks, regardless of the price.
As the price of textbooks increased, more and more students turned to the used-book market or chose not to buy textbooks at all, instead using the copies on reserve in the library.
The quality and design of calculators improved dramatically from 2017 to 2019. For example, calculators made in 2019 accept memory cards, whereas those made in 2017 do not, but this quality change is hard to measure.
A new, safe method of memory enhancement became available for purchase.
In: Advanced Math
In: Advanced Math
One of the statements below is true, and the other is false. Identify which is which, give a direct proof of the true one, and give a counterexample to the false one.
(a) The sum of every four consecutive integers is a multiple of 4;
(b) the sum of every five consecutive integers is a multiple of 5.
(An arbitrary set of four consecutive integers can be written as n, n + 1, n + 2, and n + 3 for some n ∈ Z.)
In: Advanced Math
Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y equals 2x plus 3 and the parabola y equals x squared about the following lines. a. The line x equals 3 b. The line x equals minus 1 c. The x-axis d. The line y equals 9
In: Advanced Math
In: Advanced Math
3. A 6 inch personal pizza has 610 calories, with 240 of those from fat. A 16 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 16 inch pizza. ____Calories
In: Advanced Math
In: Advanced Math
Which of the following statements are true and which are false?
(a) Assume that we are implementing AES or a similar system on an RFID tag. When calculating the ASIC cost, one of the things we need to take into account is the key.
(b) Assume that we are implementing AES or a similar system on an RFID tag. When calculating the ASIC cost, one of the things we need to take into account is the internal state. (c) Assume that we are implementing AES or a similar system on an RFID tag. When calculating the ASIC cost, one of the things we need to take into account is the cryptographic signature.
(d) When studying how hard it is to break a cryptosystem, average-case complexity is more important than worst-case complexity. (e) The function n −5 is negligible.
(f) The function 5−n is negligible.
(g) The function log n is negligible.
(h) The function n − log n is negligible.
In: Advanced Math
Problem 4. Consider ϕ : (Z100, +100) → (Z100, +100) defined by ϕ([x]100) = [41x + 19]100. a.) Show that ϕ is well-defined. b.) Use the fact that 61 · 41 = 2501 to argue that the function ϕ is one-to-one. c.) Is ϕ onto? Why or why not. Suppose that y is in the image of ϕ, find an element x so that ϕ(x) = y. [The answer will be dependent on the value of y.] Then prove that the found element works. d.) Is ϕ a homomorphism?
In: Advanced Math
Assume the carrying capacity of the earth is
15
billion. Use the 1960s peak annual growth rate of
2.1%
and population of
3
billion to predict the base growth rate and current growth rate with a logistic model. Assume a current population of
6.8
billion. How does the predicted growth rate compare to the actual growth rate of about
1.2%
per year?
What is the base growth rate?
Assume the carrying capacity of the earth is
15
billion. Use the 1960s peak annual growth rate of
2.1%
and population of
3
billion to predict the base growth rate and current growth rate with a logistic model. Assume a current population of
6.8
billion. How does the predicted growth rate compare to the actual growth rate of about
1.2%
per year?
What is the base growth rate?
Assume the carrying capacity of the earth is
15
billion. Use the 1960s peak annual growth rate of
2.1%
and population of
3
billion to predict the base growth rate and current growth rate with a logistic model. Assume a current population of
6.8
billion. How does the predicted growth rate compare to the actual growth rate of about
1.2%
per year?
What is the base growth rate?
Assume the carrying capacity of the earth is
15
billion. Use the 1960s peak annual growth rate of
2.1%
and population of
3
billion to predict the base growth rate and current growth rate with a logistic model. Assume a current population of
6.8
billion. How does the predicted growth rate compare to the actual growth rate of about
1.2%
per year?
What is the base growth rate?
Assume the carrying capacity of the earth is
15
billion. Use the 1960s peak annual growth rate of
2.1%
and population of
3
billion to predict the base growth rate and current growth rate with a logistic model. Assume a current population of
6.8
billion. How does the predicted growth rate compare to the actual growth rate of about
1.2%
per year?
What is the base growth rate?
Assume the carrying capacity of the earth is
15
billion. Use the 1960s peak annual growth rate of
2.1%
and population of
3
billion to predict the base growth rate and current growth rate with a logistic model. Assume a current population of
6.8
billion. How does the predicted growth rate compare to the actual growth rate of about
1.2%
per year?
What is the base growth rate?
Assume the carrying capacity of the earth is
15
billion. Use the 1960s peak annual growth rate of
2.1%
and population of
3
billion to predict the base growth rate and current growth rate with a logistic model. Assume a current population of
6.8
billion. How does the predicted growth rate compare to the actual growth rate of about
1.2%
per year?
What is the base growth rate?
In: Advanced Math
Assume you have a balance of $1400 on a credit card with an APR of 18%, or 1.5% per month. You start making monthly payments of $200, but at the same time you charge an additional $ 60 per month to the credit card.
Assume that interest for a given month is based on the balance for the previous month.
The following table shows how you can calculate your monthly balance. Complete and extend the table to show the balance at the end of each month until the debt is paid off. How long does it take to pay off the credit card debt?
Fill out the table row by row, and continue until the last full payment. (Round to the nearest cent as needed.)
Month Payment Expenses Interest New Balance
0 - - - $ 1400
1 $200 $60 $ 1400 −$200 plus +$ 60 +$ 21.00 =$ 1281.00 2 $200 $60 $ ?
In: Advanced Math