Answer:
7^15
Step-by-step explanation:
7^5^3 = 7^(5*3) = 7^15
The director of a health clinic has a quarterly budget of $600,000. She
would like to allocate this budget to maximize the number of patient visits, P, which is
given as a function of the number of doctors, D, and the number of nurses, N, by
[tex]P=1000D^0^.^6N^0^.^3[/tex].
A doctor’s quarterly salary is $40,000; nurses is $10000.
Maximize the number of patient visits given the pay constraints.
Find the value of the LaGrange multiplier and interpret its meaning in this
problem.
The meaning of this problem is that with 7 nurses they can only hire D=13.25
What is the meaning of this problem.?Generally, the equation for the model is mathematically given as
[tex]P=1000D^{0.6}N^{0.3}[/tex]
Therefore,
[tex]dv/dD=0.6*1000*D^{0.4}N)^{0.3}[/tex]
[tex]dv/dD=600* \frac{N6.1}{D6.1}=0[/tex]
Also
[tex]dv/dN=300* \frac{N6.8}{N6.7}=0[/tex]
Equations 1 and 2
[tex]300* \frac{D6.8}{N6.7}=600* \frac{N6.1}{D6.1}[/tex]
.sub D=(60N)/4
[tex]300* \frac{((60N)/4)6.8}{N6.7}=600* \frac{N6.1}{((60N)/4)6.1}[/tex]
N=6.67
N=7
solve for D
D=(60(7))/4
D=13.25
In conclusion, with 7 nurses they can only hire D=13.25
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your restaurant serves 50 bowls of French onion soup daily and each serving has 8 ounces of onion per portion. Do you think it would be better to purchase whole onions at $1.99 per pound, and cut them yourself, or purchase pre-sliced onions at $2.99 per pound?
Answer:
Step-by-step explanation:
It would be better to purchase onions at 1.99 per pound
Mathematics and body temperature? Please answer the questions in 3.
Answer:
keep the model answer photo
y=10^x +6
find the inverse
[tex]y=10^x+6\\10^x=y-6\\x=\log_{10}(y-6)\\\\f^{-1}(x)=\log_{10}(x-6)[/tex]
20-26 JIT production, relevant benefits, relevant costs. The Knot manufactures men's neckware at its Spartanburg plant. The Knot is considering implementing a JIT production system. The following are estimated costs and benefits of JIT production: a. Annual additional tooling costs $250,000 annually. b. Average inventory would decline by 80% from the current level of $1,000,000. c. Insurance, space, materials-handling, and setup costs, which currently total $400,000 annually, would decline by 20%. d. The emphasis on quality inherent in JIT production would reduce rework costs by 25%. The Knot currently incurs $160,000 in annual rework costs. e. Improved product quality under JIT would enable The Knot to raise the price of its product by $2 per unit. The Knot sells 100,000 units per year. The Knot's required rate of return on inventory investment is 15% per year. 1. Calculate the net benefit or cost to The Knot if it adopts JIT production at the Spartanburg plant. 2. What nonfinancial and qualatative factors should The Knot consifer when making the decision to adopt JIT production? 3. Suppose The Knot implements JIT production at its Spartanburg plant. Give examples of performance measure The Knot could use to evaluate and control JIT production. What would the benefit of The Knot implementing an enterprise resource planning (ERP) system?
The net benefit to The Knot if it adopts JIT production at the Spartanburg plant is $200000.
How to illustrate the information?Based on the information given, the net benefit will be:
= $1,000,000 × (1 - 80%)
= $1,000,000 × 0.2
= $200,000
The nonfinancial and qualatative factors that The Knot should consider when making the decision to adopt JIT production are:
Development of a detailed system.Willingness of suppliers to deliver smaller and more frequent orders. Skill level of workers should be enhanced.The benefit of The Knot implementing an enterprise resource planning (ERP) system is that it gives access to operating information in response to the supply.
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Help with this exponential function!
A species of animal is discovered on an island. Suppose that the population size P (t) of the species can be modeled by the following function, where time t is measured in years.
Find the population size after 6 years and after 8 years.
Round your answers to the nearest whole number as necessary.
The population size after 6 years and after 8 years are 147 and 169 population respectively
Exponential functionsThe standard exponential function is expressed as y = ab^x
where
a is the base
x is the exponent
Given the function that represents the population size P (t) of the species as shown;
[tex]p(t)=\frac{550}{1+5e^{-0.1t}} \\[/tex]
For the population size after 6 years
[tex]p(t)=\frac{550}{1+5e^{-0.1(6)}} \\P(6)=\frac{550}{3.744}\\ P(6)=147 population[/tex]
For the population after 8 years
[tex]p(t)=\frac{550}{1+5e^{-0.1(8)}} \\P(8)=\frac{550}{3.2466}\\ P(8)=169 population[/tex]
Hence the population size after 6 years and after 8 years are 147 and 169 population respectively
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A new phone system was installed last year to help reduce the expense of personal calls that were being made by employees. Before the new system was installed, the amount being spent on personal calls followed a normal distribution mean of $700 per month and a standard deviation of $50 per month
Using the normal distribution, it is found that there was a 0.9579 = 95.79% probability of a month having a PCE between $575 and $790.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 700, \sigma = 50[/tex].
The probability of a month having a PCE between $575 and $790 is the p-value of Z when X = 790 subtracted by the p-value of Z when X = 575, hence:
X = 790:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{790 - 700}{50}[/tex]
Z = 1.8
Z = 1.8 has a p-value of 0.9641.
X = 575:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{575 - 700}{50}[/tex]
Z = -2.5
Z = -2.5 has a p-value of 0.0062.
0.9641 - 0.0062 = 0.9579.
0.9579 = 95.79% probability of a month having a PCE between $575 and $790.
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need help with parts 1-6
The value of F(g(1)) will be equal to 0.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
From the given table we can see that the value of f(x) at 1 is 3 and the value of g(x) at 1 is 0.
The value of f(xg(x) at x = 1 will be:-
f(xg(x) = f(x) x g(x)
= 3 x 0
= 0
Therefore the value of F(g(1)) will be equal to 0.
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2. Fruit snacks are 12 packs for $3.60. How much would it cost for just 1 pack? Hint:
Think of $3.60 as 360 cents.
Answer:
$0.3 or 30 cents
Step-by-step explanation:
if 12 pack=$360,
1 pack = ?
therefore,$360×1pack ÷ 12 packs=$30
=$30
Jerry bought 680 square feet of wood flooring to liven up his retail store. He has 1/4 of the flooring left over. How many square feet does he have left?
Answer:
170
Step-by-step explanation:1/4 is just like dividing 4 so 680 divided by 4 equals 170
At the beginning of the week, you have $1250.33 cents in your checking account. During the week you spend $184.59 on food, $645.50 on rent and $112.11 on clothing. You get paid $323.89 during this week. How much money will be in your bank account at the end of the week?
Answer:
ending balance = $623.02
Step-by-step explanation:
Amounts you spend get subtracted from your bank balance. Amounts you earn get added.
Bank balanceYour ending balance is ...
ending balance = beginning balance - expenses + earnings
ending balance = $1250.33 -(184.59 +654.50 +112.11) +323.89
ending balance = $623.02
An isosceles triangle has side lengths of 15.6 units and 20.33 units. What is the greatest possible value of the perimeter of the triangle?
Answer:
56.26
Step-by-step explanation:
An isosceles triangle has two sides that are the same length, and one side that is the same length. We have two sizes, so two find the greatest possible perimeter we must assume that the greater size is the value for the two sides, and the smaller size the value for the single side. In other words:
[tex]x = 15.6 + 2(20.33)[/tex]
[tex]x = 56.26[/tex]
Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy 50\,\text{kg}50kg50, start text, k, g, end text of corn in total for her next order. White corn costs \$0.30$0.30dollar sign, 0, point, 30 per kilogram, yellow corn costs \$0.15$0.15dollar sign, 0, point, 15 per kilogram, and she wants to spend \$12$12dollar sign, 12 total.
What does point EEE represent in this context?
Answer:
CORRECT (SELECTED)
Marcelina spends the intended amount of money and buys the intended amount of corn.
Point EEE is on line aaa, so it represents a scenario where she spends \$12$12dollar sign, 12. Also, point EEE is on line bbb, so it represents a scenario where she buys 50\,\text{kg}50kg50, start text, k, g, end text of corn.
The point EEE represent option b is correct: Marcelina spends the intended amount of money but she bought more than she did intended amount of corn.
What is the case about?She buy 50kg of corn in total
White corn costs = $0.30 per kilogram,
Yellow corn costs = $0.15 per kilogram,
She wants to spend $12 total.
So the equation will be:
C= (20, 50) = 20 white, 50 yellow
But 30 while and 20 yellow is needed.
Since C = 20 +50
= 70 corns
While: 30 + 20
= 50 corns.
This therefore tells that Marcelina spends the intended amount of money but she bought more than she did intended amount of corn and therefore, option b is correct.
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Answer:
Marcelina spends less than the intended amount of money and buys less than enough corn.
Step-by-step explanation:
The equation of line
Khan
Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. n = 195, x = 126; 95% confidence
Using the z-distribution, the 95% confidence interval for the population proportion is (0.5791, 0.7133).
What is a confidence interval of proportions?
A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The other parameters are given as follows:
[tex]n = 195, \overline{p} = \frac{126}{195} = 0.6462[/tex]
Hence the bounds of the interval are:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6462 - 1.96\sqrt{\frac{0.6462(0.3538)}{195}} = 0.5791[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6462 + 1.96\sqrt{\frac{0.6462(0.3538)}{195}} = 0.7133[/tex]
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calculate the number of ways that the coach can assign the 4 positions to his 16 players.
The number of ways that the coach can assign the 4 positions to his 16 players would be 43, 680 ways
How to calculate the permutation
The formula for permutation is given as;
Permutation = [tex]\frac{n!}{(n - r)!}[/tex]
n = 16
r =4
Permutation = [tex]\frac{16!}{12!}[/tex]
Permutation = [tex]\frac{16 *15*14*13*12*11*10*9*8*7*6*5*4*3*2*1}{12*11*10*9*8*7*6*5*4*3*2*1}[/tex]
Permutation = 43, 680 ways
Thus, the number of ways that the coach can assign the 4 positions to his 16 players would be 43, 680 ways
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Use the function below to find F(2).
Answer:
D
Step-by-step explanation:
HELP PLEASE I will give brainly!!!!!
Answer:
(1,2)
Step-by-step explanation:
first, make the equations equal each other so you can solve for x
8x-6=2x
this gives you 1
then, use what you got for x and plug it in for one of the original questions. I am gonna use 2x since its the easiest to plug in and solve
2(1)=2, so y is 2
so then x=1 and y=2
then put that into (x,y) which is (1,2)
Two shops, Lidal and Oldi, sell the same brand of toilet rolls but with different package sizes.
Calculate the price per roll for each shop.
Write which shop is the best value for money in the comment box.
lidal:8 for 2.80
oldi:9 for 3.24
The price per roll for Lidal and Oldi shop is 0.35 and 0.36 respectively.
Therefore Lidal shop is the best value for money.
Given,
Lidal shop:
8 rolls costs 2.80
∴ one roll costs = 2.80/8
= 0.35
Oldi shop:
9 rolls costs 3.24
∴ one roll costs = 3.24/9
= 0.36
Hence we get the per price for the shops as 0.35 and 0.36
we can see that for lidal shop if per roll it is 0.35 then if a person wants to buy 9 rolls then it will cost him 3.15, whereas in the case of oldi shop the price for 9 rolls is 3.24.Therefore, lidal shop is the best value for money.
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Complete the factoring.
25x^4 = 5x^2(? )
Answer:
5x^2(5x^2 - 1) = 0
Step-by-step explanation:
25x^4 = 5x^2
25x^4 - 5x^2 = 0
5x^2(5x^2 - 1) = 0
In order for the parallelogram to be a rhombus, x=[?]. (9x+31) 32
HELP NEEDED ASAP
Find a degree 3 polynomial having zeros -4, 3 and 8 and the coefficient of x 3 equal 1.
The required polynomial is [tex]x^{3}-7x^{2} -20x+96[/tex]
Polynomial : If in an expression all of variables, constants and exponents are present with mathematical operations like addition, multiplication, subtraction & division, then it is called polynomial.
If a polynomial has degree 3 as a highest degree, then the polynomial is called degree 3 polynomial or cubic polynomial.
A degree 3 polynomial having zeros α, β, γ and the coefficient of x³ equal a is, a(x- α)(x- β)(x- γ)
Given, Zeros of the polynomial are -4, 3, 8 & coefficient of x³ equal 1.
Hence, the required polynomial is,
[tex]1(x-(-4))(x-3)(x-8)[/tex]
[tex](x+4)(x-3)(x-8)[/tex]
[tex]=(x+4)(x^{2} -11x+24)[/tex]
[tex]=x^{3}-11x^{2} +24x+4x^{2} -44x+96[/tex]
[tex]=x^{3}-7x^{2} -20x+96[/tex]
This is a degree 3 polynomial.
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2. If G (4,3) was translated (x, y) → (x-7, y +3), where is G' located?
Answer:
the location of point G would be at G(-3,6)
Step-by-step explanation:
x=4
so 4-7 =-4
and y=3
so 3+3= 6
therefore, (x-7,y+3) = (-3,6)
The correlation coefficient for two sets of numbers that are perfectly negatively correlated is
The correlation coefficient for two sets of numbers that are perfectly negatively correlated is -1.
What is negative correlation?
Correlation is a statistical measure used to measure the relationship that exists between two variables. Negative correlation is when two variables move in different direction. If one variable increases, the other variable decreases.
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What is the equation of line b d, simplified? y − y1 = m(x − x1) y − 0 = (startfraction 2 b over 2 a minus c endfraction)(x − c) y = (startfraction b over a minus c endfraction)x − (startfraction 2 b c over 2 a minus c endfraction) y = (startfraction 2 b over 2 a minus c endfraction)x − (startfraction b c over 2 a minus 2 c endfraction) y = (startfraction 2 b over 2 a minus c endfraction)x − (startfraction 2 b c over 2 a minus c endfraction) y = (startfraction 2 b over a minus c endfraction)x − (startfraction 2 b c over a minus c endfraction)
The required equation of line BD is option d.) [tex]y=\frac{2b}{2a-c} x-\frac{2b}{2a-c} c[/tex]
Equation of the line is given be in standard form is
[tex]y-y_{1} =\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
Line, curve of the shortest distance between two points.
The questions seem to be incomplete the question, the complete question could be
a)[tex]y=\frac{2b}{2a-c} (x-c)\\[/tex]
b)[tex]y=\frac{b}{-c} x-\frac{2b}{2a-c}[/tex]
c)[tex]y=\frac{2b}{2a-c} x-\frac{bc}{2a-2c}[/tex]
d)[tex]y=\frac{2b}{2a-c} x-\frac{2b}{2a-c} c[/tex]
e)[tex]y=\frac{2b}{a-c} x-\frac{2b}{a-c}[/tex]
Now all the Equation in option represents the triangle with coordinates A(0, 0), B (2a, 2b), C(2c,0) and D(c, 0).
For equation of line BD we have coordinates, (2a, 2b) and (c, 0).
putting these coordinates in the standard form of equation of line i.e.
[tex]y-y_{1} =\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
⇒ [tex]y=\frac{2b}{2a-c} x-\frac{2b}{2a-c} c[/tex]
Thus the required equation of the line is [tex]y=\frac{2b}{2a-c} x-\frac{2b}{2a-c} c[/tex].
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Answer:
C
Step-by-step explanation:
Edg
Please solve this question, i have exams tommorow :(
Answer:
2xy/ ( ab)
Step-by-step explanation:
xy/ ( 3ab) + 5xy/(3ab)
Since the denominator is the same, we can add the numerators
xy+5xy = 6xy
6xy/ (3ab)
We can simplify 6/3 = 2
2xy/ ( ab)
Three postal workers can sort a stack of mail in 45 minutes, 25 minutes, and 225 minutes, respectively. Find how long it takes them to sort the mail if all three work together.
If the three postal workers sort the mail together or work in parallel, it will take them 15 minutes.
What is parallel working?Parallel working refers to the system that can process a common task simultaneously by many workers communicating with one another.
When workers perform the same task together, they tend to achieve greater speed, unlike when they work individually without communicating.
Data and Calculations:Time to sort a stack of mail by A = 45 minutes or 1/45
Time to sort a stack of mail by B = 25 minutes or 1/25
Time to sort a stack of mail by C = 1/225
Time for the three workers to sort the stack together = 1/45 + 1/25 + 1/225
= 15 minutes (5 + 9 + 1)
Thus, if the three postal workers sort the mail together or work in parallel, it will take them 15 minutes.
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Help me with this algebra
Answer:
Step-by-step explanation:
7.
Give an example to show that each statement below is not true.
a) "The product of two different primes is never even."
b) "The sum of two different primes is never prime."
ection One - Number
Answer:
a) 1 + 3 = 4
b) 2 + 3 = 5
(all prime)
hope this helps! :)
Is finding a car's depreciation over a 10 year period considered as univariate or bivariate?
Determining a car's depreciation over a ten year period is considered a bivariate.
What is a bivariate?
A Bivariate data is made up of two variables that are observed against each other. In determining the deprecation of a car, the cost of the car is observed against the passage of time and the depreciation factor.
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How many characteristics of a population does a random variable represent?
1. As many as you wish
2. Single
3. Less than one
4. Two or more
The characteristics of a population that a random variable represents are 1. As many as you wish and 4. Two or more.
What is a random variable?A random variable is a variable with unknown outcomes.
A random variable can have either discrete or continuous values.
It is discrete when it has specific values. It is continuous when it assumes some continuous values.
Thus, the characteristics of a population that a random variable represents are 1. As many as you wish and 4. Two or more.
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