An IV bag contained 1000 ml solution, and was started at 4:00 pm and ran until 10:00 pm with a rate of flow equaling 65 gtt/min. At 10:00 pm, the IV bag contained 360 ml.
Find the drop factor and determine at what time the entire bag will be drained ( round to nearest minute)

Answer:

The fraction of the factor of 17.5 which is due to differences in capital per person is approximately 4.375, and the fraction due to differences in TFP is approximately 13.125.

Step-by-step explanation:

Based on the given information, we know that one-fourth (1/4) of the differences in per capita GDP across countries are due to differences in capital per person, and three-fourths (3/4) are due to differences in TFP.

Now, let's calculate the fractions for the United States and Kenya, given that the United States is 17.5 times richer than Kenya.

Let's represent the fraction due to differences in capital per person as "f_capital" and the fraction due to differences in TFP as "f_TFP".

Given:

f_capital = 1/4

f_TFP = 3/4

The factor of difference in wealth = 17.5

We need to determine the fractions of this factor of 17.5 that are due to each component.

The fraction due to differences in capital per person (f_capital) can be calculated as:

f_capital = (1/4) / (1/4 + 3/4)

f_capital = (1/4) / (4/4)

f_capital = 1/4

The fraction due to differences in TFP (f_TFP) can be calculated as:

f_TFP = (3/4) / (1/4 + 3/4)

f_TFP = (3/4) / (4/4)

f_TFP = 3/4

Now, to determine the fraction of the factor of 17.5 that is due to each component, we multiply each fraction by the factor:

Fraction due to differences in capital per person = f_capital * factor

= (1/4) * 17.5

= 4.375

Fraction due to differences in TFP = f_TFP * factor

= (3/4) * 17.5

= 13.125

Therefore, the fraction of the factor of 17.5 that is due to differences in capital per person is approximately 4.375, and the fraction due to differences in TFP is approximately 13.125.

To know more about TFP,

brainly.com/question/32540272

brainly.com/question/30975265

Correct Question:

That about one-fourth of the differences in per capita GDP across countries were due to differences in capital per person and about three-fourths were due to differences in TFP. Carry out this, calculation for Kenya. The United States is 17.5 times richer than Kenya; what fraction of this factor of 175 is due to differences in capital per person and what fraction is due to differences in TFP?

Answer:

12

Step-by-step explanation:

\(\dfrac{x}{4} + 17 = 20\\\dfrac{x}{4} = 20 - 17\\\dfrac{x}{4} = 3\\x = 4 \cdot \;3 \\\\x = 12\)

Answer:

x = 12

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ (x/4) + 17 = 20

Then the value of x will be,

→ (x/4) + 17 = 20

→ x/4 = 20 - 17

→ x/4 = 3

→ x = 3 × 4

→ [ x = 12 ]

Hence, the value of x is 12.

The area of the given triangle is 87.55 square centimeter.

From the given triangle, base=17 cm and height=10.3 cm.

The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

Here, area of a triangle = 1/2 ×17×10.3

= 87.55 square centimeter

Therefore, area of the given triangle is 87.55 square centimeter.

To learn more about the area of a triangle visit:

brainly.com/question/27701864.

#SPJ1

Answer:

No, also you can try  to use desmos to figure it out it is a very helpful tool

Step-by-step explanation:

The given expression is:
5m^2 + 9n^3 - mn^2 + 2m^3

This expression is a polynomial. The correct answer is option c.

It consists of four terms:

5m^2: This term is a monomial with a coefficient of 5 and a single variable, m, raised to the power of 2.

9n^3: This term is a monomial with a coefficient of 9 and a single variable, n, raised to the power of 3.

-mn^2: This term is a monomial with a coefficient of -1 and two variables, m raised to the power of 1 and n raised to the power of 2.

2m^3: This term is a monomial with a coefficient of 2 and a single variable, m, raised to the power of 3.

Therefore, The expression 5m^2 + 9n^3 - mn^2 + 2m^3 is a ploynomial. which is option c

For more such questions on polynomial, click on:

https://brainly.com/question/1496352

#SPJ11

The probable question may be:

What is 5m^2+9n^3-mn^2+2m^3

choose the correct answer

a) monomial

b) binomial

c) polynomial

Answer:

x = (2.5, 0)     y = (0, 5)

Step-by-step explanation:

The solution to the given linear equation is x = 9

From the question, we are to solve the given linear equation

The given equation is

7x + 3x - 18 = 6(x + 3)

By the distributive property, we get

7x + 3x - 18 = 6x + 18

Combine like terms

7x + 3x - 6x = 18 + 18

Addition property of equality

10x - 6x = 36

Subtraction property of equality

4x = 36

Division property of equality

x = 36/4

x = 9

Hence, the solution to the given linear equation is x = 9

Learn more on Solving linear equations here: https://brainly.com/question/3926291

#SPJ1

Answer:

x = 9

Step-by-step explanation:

7x + 3x - 18 = 6 (x + 3) 

7x + 3x - 18 = 6 (x + 3) Use the distributive property, which gets us 7x + 3x - 18 = 6x + 18

Combine terms, first 18 + 18 = 36 

Then you use the addition property of equality 7x + 3x = 10x 

You now have 10x - 6x = 36 

Then you use the subtraction property of equality, which subtracts 10x and 6x 

You're left with 4x = 36 

Then you do the division property of equality, so 4x divided by 4 is one and 36 divided by 4 is 9

The answer is x = 9 

Added this after doing the problem myself :)

2

1

3

5/8 = 0.625

1/3 = 0.3333...

17/24 = 0.70833333

The expected value of 3X + 2Y is 42.9. The variance of 2X is 1. The variance of X - Y is 0.34. The variance of 3X + 2Y is 2.61.

E[3X + 2Y]:

Since X and Y are independent random variables, the expected value of their linear combination can be calculated by applying the linearity of expectation.

E[3X + 2Y] = 3E[X] + 2E[Y] = 3 * 10.5 + 2 * 5.7 = 31.5 + 11.4 = 42.9

Therefore, E[3X + 2Y] is equal to 42.9.

Var[2X]:

To find the variance of a constant multiple of a random variable, we square the constant and multiply it by the variance of the random variable.

Var[2X] = (2^2) * Var[X] = 4 * (0.5^2) = 4 * 0.25 = 1

Therefore, Var[2X] is equal to 1.

Var[X - Y]:

Since X and Y are independent, the variance of their difference is the sum of their individual variances.

Var[X - Y] = Var[X] + Var[Y] = (0.5^2) + (0.3^2) = 0.25 + 0.09 = 0.34

Therefore, Var[X - Y] is equal to 0.34.

Var[3X + 2Y]:

Again, using the linearity of variance, we can calculate the variance of the linear combination of independent random variables.

Var[3X + 2Y] = (3^2) * Var[X] + (2^2) * Var[Y] = 9 * (0.5^2) + 4 * (0.3^2) = 9 * 0.25 + 4 * 0.09 = 2.25 + 0.36 = 2.61

Therefore, Var[3X + 2Y] is equal to 2.61.

To know more about variance,

https://brainly.com/question/31964048

#SPJ11

HQG because it is 55 degrees and 55 + 35 is 90, and complementary angles add up to 90 degrees.

Angle HQG

The true or false statements based on the graph on the lengths of ribbons are:

The graph shows that most common length that a ribbon has is 11²/₈ with 3 ribbons. At a simpler term, this becomes 11¹/₄.

The sum of the longest and shortest lengths is:

= 11¹/₄ + 9⁷/₈

= 21⁹/₈

The sum is therefore not 20¹/₈.

The difference between the longest and shortest lengths is:

= 11¹/₄ - 9⁷/₈

= 1³/₈

This is not 2 ¹/₈

Find out more on interpreting graphs at https://brainly.com/question/1638242

#SPJ4

Answer:

Answers below

Step-by-step explanation:

-32 -> -7.4

0 -> 1

20 -> 5

Answer:

3x2>n+2x7>n

Step-by-step explanation:

from what I understand, you're suppose to write what's its saying in numbers. so you have to write three times two more than the number n in numbers then add that expression with two times seven more than the number n. I hope I helped

Answer:$190.00

Step-by-step explanation:

Answer:

The answer is B) $190.00

Step-by-step explanation:

I'm right.

The ball traveled approximately \(26.27\) units in total.

To calculate the distance the ball traveled, we can use the distance formula between two points in a Cartesian coordinate system.

Distance = \(\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }\)

Let's calculate the distance between Player A and Player B first:

Distance_AB =

\(\sqrt{((16-2)^{2}+(9-4)^{2}) }\)

\(= \sqrt{(14^{2}+5^{2} ) } \\= \sqrt{(196 +25)} \\= \sqrt{221} \\= 14.87\)

Now, let's calculate the distance between Player B and Player C:

Distance_BC =

\(\sqrt{ ((25 - 16)^2 + (16 - 9)^2)}\\= \sqrt{ (9^2 + 7^2)}\\= \sqrt{(81 + 49)}\\= \sqrt{130}\\=11.40\)

Finally, we can calculate the total distance traveled by adding the distances AB and BC:

Total distance = Distance_AB + Distance_BC

\(= 14.87 + 11.40 \\= 26.27\)

Starting from Player A at \((2, 4),\) it was thrown to Player B at \((16, 9),\) covering a distance of about \(14.87\) units. From Player B, the ball was then thrown to Player C at \((25, 16),\) covering an additional distance of approximately \(11.40\) units.

Combining these distances, the total distance the ball traveled was approximately \(26.27\) units.

For more such questions on ball traveled: https://brainly.com/question/28062738

#SPJ11

86 inches are equivalent to 7.17 feet

To convert inches to feet, you can divide the number of inches by 12 (since there are 12 inches in a foot):

86 inches ÷ 12 inches/foot = 7.17 feet

The units of measurement used to measure length or distance are inches and feet. One inch is equivalent to one-twelfth of a foot, while one foot is equal to twelve inches. As a result, you may easily convert feet to inches by multiplying the number of feet by 12. 36 inches, for instance, is equivalent to 3 feet (3 feet x 12 inches/foot).

Divide the number of inches by 12 to convert the measurement to feet. As an illustration, 24 inches (12 inches per foot) equals 2 feet.

Inches and feet are often used to measure an object's height, breadth, and length in the United States.

For more such questions on measurement

https://brainly.com/question/777464

#SPJ4

From the given data of room ,ceiling , windows and door , the area of the four walls and ceiling to be painted is equal to 783.75 ft².

As given in the question,

Room is 14ft by 20 ft

Height of the room = 8ft

Two windows are of 3ft by 4ft

Door is 2.5ft by 6.5ft

Area of the four walls = 2 (14 × 8) + 2(20×8)

                                  = 224 +320

                                  = 544ft²

Area of the ceiling = 14 × 20

                             = 280ft²

Area of two windows = 2(3×4)

                                  =24ft²

Area of the door= 2.5 ×6.5

                         =16.25ft²

Total area to be painted = ( 544 + 280 -24-16.25 )

                                      = 783.75 ft²

Therefore, the total area of the four walls and ceiling to be painted is equal to 783.75 ft².

The complete question is :

A room is 14ft by 20ft. It needs to be painted. The ceiling is 8ft above the floor. There are two windows in the room, each one is 3ft by 4ft. The door is 2.5ft by 6.5ft.

a. find the total area of the four walls and ceiling to be painted?

Learn more about area here

brainly.com/question/27683633

#SPJ1

To find coterminal angles, you have to either add or subtract 2π. In this case, you would use 8π/4 so there is a common denominator.

Positives:

-3π/4+8π/4 = 5π/4

5π/4+8π/4 = 13π/4

Negative:

-3π/4-8π/4 = -11π/4

-11π/4-8π/4 = -19π/4

In geometry, an angle measure is the length of the angle formed by two rays or arms intersecting at a common vertex.

Using a protractor, angles are measured in degrees (°). Joseph Huddart created the protractor in 1801. It was a more sophisticated protractor.

The angle created at the center of a circle is measured in radians, the unit of angular measurement. It is described as an angle that subtends from a circle's center and intercepts at an arc with a radius equal to the circle's radius. 57.3° is equal to one radian.

Acute angle, Obtuse angle, Right angle, Straight angle, reflex angle, and full rotation are the names of basic angles.

To learn more about measure of an angle, visit:

https://brainly.com/question/14684647

#SPJ4

The Maclaurin series for f(x) = x*cos(6x) is approximately x - 6x² - 18x³ up to the third degree.

To obtain the Maclaurin series for the given function f(x) = x*cos(6x), we first need to find the nth derivative of the function and then use the formula for the Maclaurin series.

The Maclaurin series for a function is given by:

f(x) = f(0) + f'(0)x + (f''(0)/2!)x² + (f'''(0)/3!)x³ + ...

For f(x) = x*cos(6x), let's find the first few derivatives:

f(x) = x*cos(6x)
f'(x) = cos(6x) - 6x*sin(6x)
f''(x) = -12*cos(6x) - 36x*sin(6x)
f'''(x) = -108*cos(6x) + 216x*sin(6x)

Now, let's find their values at x = 0:

f(0) = 0
f'(0) = cos(0) - 6*0*sin(0) = 1
f''(0) = -12*cos(0) - 36*0*sin(0) = -12
f'''(0) = -108*cos(0) + 216*0*sin(0) = -108

Now we can write the Maclaurin series for f(x) up to the third degree:

f(x) ≈ 0 + 1*x + (-12/2!)x² + (-108/3!)x³

f(x) ≈ x - 6x² - 18x³

Know more about Maclaurin series here:

https://brainly.com/question/24188694

#SPJ11

A bicycle repair shop that offers two service packages: a tune-up and a complete overhaul.

The shop operates for 60 hours per week and receives an average of 180 bicycles each week. To analyze the capacity and utilization of the process, we need to consider the time taken at each stage and the demand for each service option. We'll break down the problem into multiple parts and provide a detailed explanation using mathematical terms.

a) Creating the Demand Matrix:

To create a demand matrix, we need to determine the number of bicycles going through each stage of the process. Let's denote the demand for tune-up as T and the demand for additional services as A.

Given that the average number of bicycles received per week is 180 and 25% of customers opt for additional services, we can calculate the demands as follows:

Demand for tune-up (T) = Total demand - Demand for additional services

T = 180 - (0.25 * 180)

T = 180 - 45

T = 135

Demand for additional services (A) = 0.25 * Total demand

A = 0.25 * 180

A = 45

Now, we can create a demand matrix based on the demand for each service option:

Demand Matrix:

Tune-up Additional Services Wheel Balancing

Tune-up  [135  0  0]

Additional [0  45  0]

Services

Total [ 135  45  0 ]

The demand matrix shows the number of bicycles flowing through each stage of the process.

b) Daily Capacity at Each Stage:

To calculate the daily capacity at each stage, we need to consider the time taken for each service option. Given that the shop operates for 60 hours per week, we can calculate the daily capacity at each stage:

Tune-up technician time per bicycle (\(T_{tuneup}\)) = 75 minutes

Additional services technician time per bicycle (\(T_{additional}\)) = 72 minutes

Wheel balancing specialist time per bicycle (\(T_{balancing}\)) = 20 minutes

Daily Capacity (C) = (60 hours * 60 minutes) / (\(T_{tuneup}\) + \(T_{additional}\) + \(T_{balancing}\))

Substituting the given values:

C = (60 * 60) / (75 + 72 + 20)

C = 21600 / 167

C ≈ 129.34 bicycles per day

Therefore, the daily capacity at each stage of the process is as follows:

Tune-up: 129 bicycles per day

Additional Services: 129 bicycles per day

Wheel Balancing: 129 bicycles per day

c) Implied Utilizations:

To find the implied utilizations, we need to compare the demand and the capacity at each stage of the process. Utilization can be calculated as the demand divided by the capacity.

Implied Utilization (U) = Demand / Daily Capacity

For the Tune-up stage:

\(U_{tuneup}\) = 135 / 129 ≈ 1.05

For the Additional Services stage:

\(U_{additional}\) = 45 / 129 ≈ 0.35

For the Wheel Balancing stage:

\(U_{balancing}\) = 0 / 129 = 0

The implied utilizations show how efficiently each stage of the process is being utilized. Utilization values greater than 1 indicate that the stage is operating beyond its capacity.

d) Weekly Capacity of the Process:

To calculate the weekly capacity of the process, we multiply the daily capacity by the number of days the shop is open per week:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Given that the shop is open for 60 hours per week, the number of days the shop is open per week can be calculated as follows:

Number of days shop is open per week = 60 hours / 24 hours per day = 2.5 days

Therefore, the weekly capacity of the process is:

Weekly Capacity = Daily Capacity * Number of days shop is open per week

Weekly Capacity = 129 bicycles per day * 2.5 days

Weekly Capacity = 322.5 bicycles per week

e) Flow Rate and Constraint Analysis:

To determine if the flow rate of the process is capacity-constrained or demand-constrained, we compare the weekly capacity to the demand for each service option.

Demand for Tune-up (\(T_{demand}\)) = 135 bicycles per week

Demand for Additional Services (\(A_{demand}\)) = 45 bicycles per week

Comparing the demands with the weekly capacity:

\(T_{demand}\) < Weekly Capacity (135 < 322.5)

\(A_{demand}\) < Weekly Capacity (45 < 322.5)

Since both the demands for tune-up and additional services are less than the weekly capacity, the flow rate of the process is demand-constrained. This means the shop has the capacity to handle the current demand without operating beyond its limits.

To know more about Demand Matrix here

https://brainly.com/question/13012912

#SPJ4

To answer this, we will find the equation of the line that passes through point C and D and check which option is in the same line, this will be the answer.

First, let's find the slope using th coordinates of the points C and D:

Now, we can use point C, for example, to right in the slope-point form:

With this equation, we can input values of x and check is we get the same y.

Alternative A and C have x = 0, so let's check it:

I got y = 3, neither alternative have y = 3, so it isn't A nor C.

B and D have x = 1, let's check it:

We got y = 4, which matches alternative D.

So, the correct alternative is D.

Answer:

D) Quadrant III

Step-by-step explanation:

The point (-4, -5) is located in the 3rd quadrant, in which both the x axis and the y axis are negative.

The original price of the chair was £636.

To calculate the original price of the chair, we can use the formula:

where the discount rate is expressed as a decimal. In this case, the sale price is £540.60 and the discount rate is 15%, or 0.15 as a decimal.

So, plugging in the numbers we get:

Therefore, the original price of the chair was £636.

To learn more about original price, here

https://brainly.com/question/731526

#SPJ1

Answer:

5 ≤ 12 - m

5 ≤ 12 - 8

5 ≤ 4

Therefore, it is false statement

Step-by-step explanation:

If you than please mark me brainliest thanks

The given statement is false.

The given statement is 5 ≤ 12 - m, if m = 8.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Now, replacing m by 8 in the given inequality, we get

5 ≤ 4

Therefore, the given statement is false.

To learn more about the inequality visit:

https://brainly.com/question/20383699.

#SPJ2

Answer:

-2

Step-by-step explanation:

i took the test

The value of p in the linear equation is -2. Therefore, option B is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is 24p + 12 - 18p = 10+ 2p - 6.

(24p-18p)+12=(10-6)+2p

6p+12=4+2p

6p-2p=4-12

4p=-8

p=-2

Therefore, option B is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ7

Answer:

I think she mowed 6 lawns.

Step-by-step explanation:

Answer:

1 lawn each week

Step-by-step explanation:

Rocco lawns mowed each week=x

Carly's lawns mowed each week=x+2

Equation to show how much Carly lawned for 6 weeks

18 is the total amount of lawns

6 is the number of weeks

6(x+2)=18

Solve for x

6x+12=18

Subtract 12 on both sides

6x=6

x=1

x is the amount that Rocco lawned

The approximate value of the definite integral ∫\(₀^(0.1) 1/(1+x^4) dx\), using a power series expansion, is 0.100167.

By expressing the function as a power series, we can integrate it term by term to obtain an approximation for the integral. The power series representation for \(1/(1+x^4) is 1 - x^4 + x^8 - x^12\) + ..., which converges for |x| < 1.

To approximate the integral, we can integrate the power series term by term. The integral of \(1 - x^4 + x^8 - x^12\) + ... with respect to x is\(x - x^5/5 + x^9/9 - x^13/13 + ... + C\), where C is the constant of integration. By evaluating this expression at the limits of integration (0 and 0.1), we can obtain an approximation for the definite integral.

Performing the calculations using the power series expansion, we can find the approximate value of the integral to six decimal places.

Learn more about power series here:

https://brainly.com/question/29896893

#SPJ11

Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. The total annual cost for Bank B is $174.40.

To compare the cost of online banking, Tim Worker needs to consider various factors, including the basic monthly fee, bill paying monthly fee, limits on the number of checks written, and cost per bill beyond the limit. The basic fee is the amount charged by the bank for providing access to online banking services.

The bill paying fee is charged for each payment made through the online bill pay service. The limit on the number of checks written is the maximum number of checks that can be written in a given month without incurring additional charges. The cost per bill beyond the limit is the amount charged for each bill payment made beyond the specified limit.

Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. To calculate the annual cost for Bank B, we can multiply the basic fee and bill paying fee by 12 and add the cost of any additional bills beyond the limit, multiplied by the cost per bill and the number of months in a year.

The total annual cost for Bank B is $174.40, calculated as follows:

Basic fee = $9.95 * 12 = $119.40

Bill paying fee = $5.95 * 12 = $71.40

Cost of bills beyond limit = $1 * (35 - 20) * 12 = $180

Total cost = $119.40 + $71.40 + $180 = $371.80

However, since the cost per bill beyond the limit is capped at $20 per month, the actual cost is $9.95 * 12 + $5.95 * 12 + $20 * 12 = $174.40.

Learn more about Annual:

brainly.com/question/22408877

#SPJ11

Answer:

there are 16 cast members.

Step-by-step explanation:

7(210-c)=1358 multiply everything in the parentheses by 7

1470-cx=1358

-7c=-112 subtract 1470 from both sides

c=16 divide -112 by -7

c=16