Answer:
C(min) = 8763.4 $
Step-by-step explanation:
Area = 24000 ft²
In a rectangle, A = x * y x is the base side and y the height side
Cost of low and upper side (x) is 20 $ per foot
Cost of east and west sides ( y) is 10 $per ft
total cost is:
C(r) = 2 * 20* x + 2* 10* y
from A = x * y y = A / x y = 24000 / x
And by substitution in C(r) we get:
C(x) = 2 * 20* x + 2* 10* 24000 / x
C(x) = 40 * x + 480000 / x
Tacking derivatives on both sides of the equation:
C´(x) = 40 - 480000 / x²
C´(x) = 0 40 - 480000/x² = 0
40* x² - 480000 = 0
x² = 480000 / 40
x² = 12000
x = √ 12000 = 109,54 ft
and y = 24000 / 109,54
y = 219,09 ft
Chequing for second derivative
C´´(x) = 480000 / x⁴ is always positive so we have a minimum of C at the value x = 109,54
Minimum cost C (min) = 40* 109,54 + 20 * 219,09
C(min) = 4381.6 + 4381.8
C(min) = 8763.4 $
Question
Raymond wants to estimate the percentage of parents who use cloth diapers. He asks a randomly selected group of 200
parents whether or not they use cloth diapers. What is the data?
Answer:
Step-by-step explanation:
Given : Raymond wants to estimate the percentage of parents that use cloth diapers. He asks a randomly selected group of 200 parents whether or not they use cloth diapers.
The parameter are the number which are used to represents the quantity of a particular characteristic in entire population.
We know that to estimate the percentage of success we use the proportion of success parameter "p".
Hence, the parameter here is "p" , the proportion of parents that use cloth diapers.
Answer:
specific "yes" or "no" responses to the survey
Step-by-step explanation:
Got it right
300 ml of an IV fluid contains 50 mcg of Drug A. If a patient is receiving 1000 ml of this IV fluid, how much of Drug A is this patient getting?
Answer: 166.666 mcgs
Step-by-step explanation:
If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting is 166.667 mcg.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that 300 ml of an IV fluid contains 50 mcg of Drug A. Therefore, the ratio of IV fluid to drugs A can be written as,
IV fluid / Drug A = 300ml / 50 mcg
IV fluid / Drug A = 6 ml/ mcg
Now, If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting,
IV fluid / Drug A = 6 ml/ mcg
1000 ml / Drug A = 6 ml/ mcg
Drug A = 1000 ml / 6 ml/ mcg
Drug A = 166.667 mcg
Hence, If a patient is receiving 1000 ml of this IV fluid, then the amount of Drug A the patient will be getting is 166.667 mcg.
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Kirk ran 7 1/2 miles around the track. Each lap is 2 1/2 miles. How many laps did Kirk run?
Write your answer as a fraction or as a whole or mixed number.
SOMEONE PLEASE HELP!!
Answer:
It's the first one I think
Step-by-step explanation:
Compound inequalities :A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements .
THE CORRECT ANSWER IS THE LAST ONE ..
Company X tried selling widgets at various prices to see how much profit they would
make. The following table shows the widget selling price, x, and the total profit earned
at that price, y. Calculate the quadratic regression equation for this set of data. Using
this equation, find the profit, to the nearest dollar, for a selling price of 10.25 dollars.
Answer:
7263
Step-by-step explanation:
Using technology, the quadratic regression function which models the data in the form ax² + bx + c is written thus ;
f(x) = -147.30x² + 3231.00x - 8213.66Profit earned on $10.25 is $9428.38The quadratic regression function is a polynomial of degree 2. Where, x represents the widget selling price and y represents the total profit earned.
The predicted profit made on a widget selling price of $10.25 can be calculated by substituting x = 10.25 into the equation :
f(10.25) = -147.30(10.25)² + 3231.00(10.25) - 8213.66
f(10.25) = 9428.38
Therefore, the widget selling price is $9428.38
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A football field is a rectangle 80 meters wide and 110 meters long. Coach Trevor asks his players to run from one corner to the other corner by running diagonally across the field. What is the distance from one corner of the field to the other corner? Answer choices are rounded to the nearest meter.
Answer:
136
Hypothenus² = Opposite² + Adjacent²
H²= 110² + 80²
H²= 18500
H= √18500
H = 136m
The _________ in the usage of words may be a serious barrier to effective communication
49-3m=4m+4 bbbbbbbbbbbbbbbbbbbbbbbb
Answer:
m = 6.43 (approx. )Step-by-step explanation:
49 - 3m = 4m + 4
=> 49 - 4 = 4m + 3m
=> 45 = 7m
[tex] = > \frac{45}{7} = m[/tex]
=> 6.428571... = m
=> m = 6.43 (approx. ) (Ans)
Answer:
m = - 6 . 43
Step-by-step explanation:
49 - 3m = 4m + 4
= 49 - 4 = 4m + 3m
=45 = 7m
= 6.428571... = m
= m = 6.43
A tree grows exactly one half meter in height per year. The tree is currently 8 meters tall. If someone hammers a nail into the tree at a height of exactly 2 meters, how high will the nail be after 12 years of growth
Answer:
2 meters
Step-by-step explanation:
Given
[tex]a= 8m[/tex] --- initial
[tex]r = \frac{1}{2}m/year[/tex] --- rate
[tex]t = 12\ yrs[/tex]
[tex]Nail = 2m[/tex]
Required
The height of the nail after 12 years
The top of the tree will continue growing at the given rate, however, the height of the nail will remain unchanged.
This is so because when trees grow, they grow from the top; i.e. the heights are increased at the top while the bottom remains unchanged.
Hence, the height of the nail after 12 years in 2m
Which scatterplot shows a negative correlation?
Answer:
Plot B
Step-by-step explanation:
Plot B has a negative slope.
In 2016, there were approximately 4.46 x 10 people in Asia. On average, a person takes 8.4 x 10 breaths per
year. Using this data, what was the number of breaths of all the people in Asia in 2016? Expressing your answer in
scientific notation in the form a x 10", what are the values of a and b?
What is the value of a?
What is the value of b?
Answer: 4
Step-by-step explanation:
I got this same question buddy im here to see the answer but there were not any
Estimate:
89 364 What’s the answer
Answer:
A. 4
Step-by-step explanation:
364/89 = 4.089
4.089 estimated to 4
To solve a system of inequalities, you just need to graph each inequality and see wich points are in the overlap of the graphs.
True or false?
This is often how many math teachers and textbooks approach problems like this. The overlapped region is the region in which satisfies every inequality in the system. Be sure to note the boundary of each region whether you're dealing with a dashed line or a solid line. Dashed lines mean points on the boundary do not count as solution points, whereas solid boundaries allow those points as part of the solution set.
Side note: This is assuming you're dealing with 2 variable inequalities. If you only have one variable, you don't need to graph and instead could use algebra. Graphing doesn't hurt though.
Use the angle relationship in the figure below to solve for x. Assume that lines a and b are parallel and the given angles are given in degrees.
9514 1404 393
Answer:
x = 5°
Step-by-step explanation:
The marked angles are "alternate exterior angles," hence congruent.
2x +90° = x +95°
x = 5° . . . . . . . . . . . . subtract (x+90°) from both sides
easy question for alot points
Answer:
B) 2meter line segment
Step-by-step explanation:
3.28ft=1m
Then an easy way to find the answer is to multiply 3.28 by 2
to if the 6.3ft line is under or over 2m
3.28 multiplied by 2 equals 6.56
6.56>6.3
therefore, the 6.3ft. line segment is just a little shorter than 2m
PLEASE HELP
Makayla owns a small business selling used books. She knows that in the last week 58 customers paid cash, 25 customers used a debit card, and 2 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a debit card as a fraction in simplest form.
Answer:
2/5 :)
Step-by-step explanation:
58+2=60+25=85-25=60 60 = 2/5
The solution is 5/17
The probability that the next customer will pay with a debit card is given by the equation A = 5/17
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the probability that the next customer will pay with a debit card be A
Now , the equation will be
The number of customers who paid cash last week = 58 customers
The number of customers who used debit card last week = 25 customers
The number of customers who used credit card last week = 2 customer
So ,
The total number of customers = 58 + 25 + 2
The total number of customers = 85 customers
Now , the probability that the next customer will pay with a debit card A = number of customers who used debit card last week / total number of customers
Substituting the values in the equation , we get
Probability that the next customer will pay with a debit card A = 25 / 85
On simplifying the equation , we get
Probability that the next customer will pay with a debit card A = 5 / 17
Therefore , the value of A is 5/17
Hence , the probability is 5/17
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How far will a skier travel in 2 1/2 minutes? Explain how you figured it out
1 minute= 60 seconds
3600 meters 60 seconds would be 1440 traveled
and 1440 + 1440 + 720= 3600
Hope this helps :)
You deposit $500 in an investment account. The rate of growth is 6% a year. If you make no further deposits or withdrawals, and the investment is allowed to grow uninhibited, how long will it take for your investment to reach $1,500? Round to the nearest tenth.
A. 18.3 years
B. 45.1 years
C. 27.6 years
D. 8.0 years
With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years thus option (A) is correct.
What is compound interest?Compound interest is applicable when there will be a change in principal amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550.
As per the given,
Principle amount P = $500
Rate of interest r = 6% annually
Total investment = P(1 + r)^T
1500 = 500(1 + 0.06)^T
300 = 1.06^T
Take natural logs on both sides
ln300 = T ln1.06
T = 18.3 years
Hence "With the given compound interest of 6% per year to reach the investment at $1500, it will take 18.3. years".
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A square originally starts with an area of 64 cm2.
If each side of the square is increased by 2 cm, what is the area of the new square?
Answer:
100 cm2
Step-by-step explanation:
If the area is 64 cm2 that means that the side is 8 cm (square root of 64 is 8)
8 increased by 2 = 10
area 10x10 = 100 cm2
Answer:
the answer is 100cm²
since originally is 64 cm²
so square root of 64 is 8 cm.
after you get 8cm you get,
8+2 = 10cm (a side of square)
and then to find a new area you get,
10 × 10 = 100 cm²
I NEED HELP WITH THIS !! PLS HELP!!
Answer:
Step-by-step explanation:
2/14 * 1/23 = 1/91
What the correct answer
Answer:
I probably think it's A..
What is the value of m in the equation 4m + 2(m + 1) = 9m + 5?
1. −1
2. 1
3. 7
4. 17
Answer:
hhhhhhhhhhooooooooooooooooooooo
Step-by-step explanation:
Find the area of the figure
Answer:
75
Step-by-step explanation:
Answer:
Area of Figure = 75 sq. units
Step-by-step explanation:
Top Half-Portion: 30 sq. units
Dimensions: 6x5
6 x 5 = 30
Botton Half-Portion: 45 sq. units
Dimensions: 9x5
9 x 5= 45
45 + 30 = 75
Find the sum of the first four terms of the geometric series 5 + 50 + 500+....
The answer is 5 + 50 + 500+5000= 5555
Find sin S, sin R , cos S, and cos R.
Answer:
Step-by-step explanation:
sin S=21/75
sin R=72/75
cos S=72/75
cos R=21/75
Answer:
sin R = 72/75
cos R = 21/75
sin S = 21/75
cos S = 72/75
Step-by-step explanation:
sin = opposite side / hypotenuse
sin = adjacent side / hypotenuse
What is the measure, in degrees, of the highlighted angle?
Answer:
[tex]36^\circ[/tex]
Step-by-step explanation:
If you add the measures of the two marked angles, you get [tex]180^\circ[/tex]. The two angles form what some call a linear pair.
Set up and solve an equation.
4x + x = 180
5x = 180
x = 180 / 5
x = 36 degrees
In ΔQRS, the measure of ∠S=90°, SR = 7, QS = 24, and RQ = 25. What is the value of the tangent of ∠Q to the nearest hundredth?
Answer:tanQ=
adjacent
opposite
=
24
7
≈0.2917≈0.29
Step-by-step explanation:
trust me bro
The value of the tangent of ∠Q is 0.96.
What is Trigonometry?One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.
We have,
∠S=90°, SR = 7, QS = 24, and RQ = 25.
Using Trigonometry
tan Q = P/ B
tan Q= 24/ 25
tan Q = 0.96
Thus, the value of tan Q is 0.96.
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what is the location of the point on the number line with the largest value
a. 3/4
b. 3/2
c. 6/5
d. 7/5
Answer:
3/2
Step-by-step explanation:
6/5 = 1 1/5
7/5 = 1 2/5
3/2 = 1 1/2
1/5 < 2/5 < 1/2
Help please
DONT SEND ANY LINK
Answer:
This picture represents soldiers raising the flag after the battle of Iwo Jima.
Step-by-step explanation:
This famous photograph is titled Raising the Flag on Iwo Jima. It shows six soldiers raising the flag after the Battle of Iwo Jima on Mount Suribachi during the final parts of the war in the Pacific.
A group of 4 friends went to a sporting event. It cost a total of $12 for them to get in. How much did it cost for each of them to get in?
Answer:
$3
Step-by-step explanation:
4 friends = $12
4/12= 3
Answer:
$3
Step-by-step explanation:
12 total divided by four people meanig they each payed $3 12/4 = 3