The volume for the largest box will be 1.056 foot³. This can find out by application of differentiation.
What is AOD?
AOD is nothing but application of differentiation. It implies scopes where we can use differentiation to make our calculations easy.
Here, given
Length and breadth = 2,3 foot
Let us consider length of side of square = x
So, after cutting squares left sides of rectangular sheet = 2-2x , 3-2x
So, volume = (2-2x)*(3-2x)*x
v = 4x³ - 10x² + 6x
To find largest volume , [tex]\frac{dv}{dx}[/tex] = 0
[tex]\frac{dv}{dx}[/tex] = 12x² - 20x + 6
12x² - 20x + 6 = 0
x = 0.4 , 1.3
But, for 1.3 volume will be negative i.e. not possible.
So, volume = 2.2*1.2*0.4
= 1.056 foot³
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help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!help meeeeeeeeeeeeeeeeeee pleaseeeeeeeeeeeeeee!!!!!!!!!!!!!!
Answer:
7.9
Step-by-step explanation:
Using the half-life formula, there will be about [tex]30(0.5)^{11000/5730} \approx 7.9[/tex] grams left.
Identify the sampling technique used in the given scenario. The English department is interested in overall performance in its entry-level 101 course. The department chair selects every tenth student's final grade from a list of all students enrolled in the course and calculates the average final grade.
The sampling technique used in the given scenario is Systematic sampling technique.
Systematic sampling technique
Systematic sampling is a probability sampling technique in which researchers randomly choose individuals of a population at regular intervals. The sampling interval, or fixed periodic interval, is calculated by dividing the population size by the required sample size.
Types of Systematic sampling technique
A systematic sample can be generated in three ways:
Systematic random sampling: The most common type of systematic sampling in which the subject is chosen at a predefined interval.
Linear systematic sampling: Instead of picking the sample interval at random, a skip pattern is constructed by following a linear path.
Circular systematic sampling: It occurs when a sample begins from the same spot where it ends.
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Write the equation of the line that passes through the points (4, -8) and (7,-8) fully reduced PLEASE HELP
The equation of the line that passes through the points (4, -8) and (7,-8) is 5.33x + y = 13.22.
What is linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given two points,
(x1 = 4 ,y1 = -8) and (x2 = 7, y2 = -8)
The equation's general form will be written first:
y = mx + c
We may compute the slope of the equation (m) as follows:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m = \frac{-8-8}{7-4}[/tex]
m = -16/3
m = -5.33
equation is y = -5.33x + c.
By entering the values of the x and y coordinates, we can now determine the value of the y-intercept (c):
For the point (4,-8),
-8 = -5.33(4) + c
-8 = -21.32 + c
c = 13.32
So the equation become ;
y = -5.33x + 13.32
or, 5.33x + y = 13.22
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Need help ASAP
2^7x2^-2 +2^9/2^4 +2^3/2^-2
Show that C = a×2^b where a and b are two integers to be determined
The problem is based on laws of exponents and answer to this Question is a = 2 and b = 14
What are laws of exponents?
Laws which are used to solve the problems including the exponents are called laws of exponents
Solution:
As we can clearly see in whole expression 2 is present in every term
By laws of Exponents we can take 2 common out and we can easily express this thing in given form that a multiplied 2 rays to power b
When we solve this expression we get
this expression equal to 2^15
which we can write 2×2^14
hence on comparing we get a = 2 and b = 14
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A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the number of machines made. If
x machines are made, then the unit cost is given by the function C(x)=1.2²-600x+82,738. What is the minimum unit cost?
Do not round your answer.
The minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738
What is meant by unit cost?A company's unit cost is the cost of producing, storing, and selling one unit of a specific product. Unit costs encompass all fixed and variable production costs. A cost unit is a quantity measuring unit for a product or service.
A unit cost is the overall cost incurred by a business to manufacture, store, and sell one unit of a specific product or service. Unit costs are the same as cost of goods sold (COGS). This accounting metric incorporates all fixed and variable expenses related with the manufacture of a good or service.
Given,
C(x)=1.2x²-600x+82,738
Minimum value [tex]C_{min}[/tex]=c-(b²/4a)
Where a=1.2, b=-600, c=82738
[tex]C(x)_{min}[/tex]=82738-((-600)²/4(1.2))
=82738-(360000/4.8)
=7738
Therefore, the minimum unit cost is 7738.
Hence, the minimum unit cost is 7738 when the function is C(x)=1.2x²-600x+82,738
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If the lowest price in the past year occurred 35 days ago, find the approximate average change per day since then. a. $2.08 b. $2.64 c. $0.90 d. $2.99
The approximate change per day since the lowest price occurred 35 days ago, is a. $2.08.
How to find the approximate average change?The approximate average change can be found by the formula :
= ( Current price of stock - Lowest price ) / Number of days since lowest price
Current price of Dagofi Radar stock = $ 130. 58 closing price
Lowest price = $ 57. 71
The approximate average change is:
= ( 130. 58 - 57. 71) / 35
= 72. 87 / 35
= $ 2.08
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Missing part of question:
Consider today's stock listing for Dagofi Radar, shown below.
52 wk High
52 wk Low
Symbol
Div.
Close
Net Change
162.22
57.71
DFR
9.75
130.58
-2.64
8
Rachel works at 'Best Price Cars' and earns $9 per hour plus 4% commission on every car she sales. She worked 40 hours last week and sold 36,000 in cars. What
was Rachel's total income last week?
Type your answer...
I need the answers
Rachel's total income is $13320.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Rachel works at 'Best Price Cars' and earns $9 per hour plus 4% commission on every car she sales.
Commission = 9 x 0.04 = $0.36
Commission on 36000 cars = $12960
By working 40 hours he earn = 9 x 40 = $360
Hence, the total income = 360+ 12960 = $13320
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a study is conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil.
The response variable in this study is
Yield of crop.
"Information available from the question"
In the question:
A study is conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil.
Now, According to the question:
Let's know:
What is called fertilizer?
A fertiliser is a natural or artificial substance containing chemical elements (such as Nitrogen (N), Phosphorus (P) and Potassium (K)) that improve growth and productiveness of plants. Some synonyms include the terms "enrichment" or "plant nutrient".
The answer is:
Yield of crop.
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The complete question is this:
A study is conducted to determine if one can predict the yield of a crop based on the amount of fertilizer applied to the soil. The response variable in this study is
Need help with geometry please !
Answer:
90°
Step-by-step explanation:
Note that the sum of the exterior angles of an octagon is 360°. Therefore we can say:
x+2x+3x+4x+5x+7x+8x+10x=360
40x=360
x=9
10x° is the largest exterior angle and x=9, so 10x°=90°
Hope this helps :)
The table shows the ingredients for one batch of barbecue sauce. Anne has 9 cups of ketchup and makes the greatest number of whole batches of barbecue sauce possible. How much ketchup remains?
Answer:
hi do you mind making the question a bit clear? where is the table?
Step-by-step explanation:
The table below shows a proportional relationship between y and z.
Y
72
99
153
N
8
11
17
Find the constant of proportionality from y to z.
Express your answer as a fraction in reduced terms.
Consta8of proportionality is 1/9
A construction company in Florida is struggling to sell condominiums. The company believes that it will be able to get an average sale price of $210,000. Let the price of these condominiums in the next quarter be normally distributed with a standard deviation of $15,000. [You may find it useful to reference the z table.]a. What is the probability that the condominium will sell at a price (i) below $200,000? (ii) above $240,000? (Round your final answers to 4 decimal places.)b. The company is also trying to sell an artist’s condo. Potential buyers will find the unusual features of this condo either pleasing or objectionable. The manager expects the average sale price of this condo to be the same as others at $210,000, but with a higher standard deviation of $20,000. What is the probability that this condo will sell at a price (i) Below $200,000? (ii) Above $240,000? (Round your answers to 4 decimal places.)
At a standard deviation of $15,000, the probability that the condominium will sell at a price below $200,000 is 0.2525 and above $240,000 is 0.02. At a standard deviation of $20,000, the probability that the condominium will sell at a price below $200,000 is 0.3085 and above $240,000 is 0.0668.
From the given question;
Let the average sale price(μ)=210,000
Standard Deviation(σ)=$15,000
(a) We have to find the probability that the condominium will sell at a price.
(i) below $200,000, i.e. P(x<200,000)
Z=(x−μ)/σ
Z=(200,000−210,000)/15,000
Z= −10,000/15000
Z= −0.67
Now finding P(x<200,000) is same as finding P(Z<−0.67) using the standard table of z.
P(Z<−0.67) = 0.2525
(ii) above $240,000, i.e. P(x>240,000)
Z=(x−μ)/σ
Z=(240,000−210,000)/15,000
Z= 30,000/15000
Z= 2
Now finding P(x>240,000) is same as finding P(Z>2) using the standard table of z.
P(Z>240,000)=P(Z>2)
P(Z>240,000)=1−P(Z<2)
P(z>240,000)=1−0.98
P(z>240,000)=0.02
(b) Now the average sale price(μ)=210,000
Standard Deviation(σ)=$20,000
We have to find the probability that the condominium will sell at a price.
(i) below $200,000, i.e. P(x<200,000)
Z=(x−μ)/σ
Z=(200,000−210,000)/20,000
Z= −10,000/20000
Z= −0.5
Now finding P(x<200,000) is same as finding P(Z<−0.5) using the standard table of z.
P(Z<−0.5) = 0.2085
(ii) above $240,000, i.e. P(x>240,000)
Z=(x−μ)/σ
Z=(240,000−210,000)/20,000
Z= 30,000/20000
Z= 1.5
Now finding P(x>240,000) is same as finding P(Z>1.5) using the standard table of z.
P(Z>240,000)=P(Z>1.5)
P(Z>240,000)=1−P(Z<1.5)
P(z>240,000)=1−0.93319
P(z>240,000)=0.0668
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What is the domain of the function
f(x) = 2x + 3
when the range is {3, 5, 9}?
Answer:
Domain: {9, 13, 21}
Step-by-step explanation:
BRAINLIEST PLEASE!!!Answer:
(0,1,3)Step-by-step explanation:
f(x)=2x+3let y= f(x)y=2x+3interchanging x and y in the expression x=2y+3making y the subject in the equation y=(x-3)/2f(x)-¹=(x-3)/2when x= 3 =(3-3)/2 =0when x=5 =(5-3)/2 = 1when x= 9 =(9-3)/2 = 3How to solve Solve 3! what the exclamation point means but it part of the problem
Answer:
3! = 3*2*1 = 6
Step-by-step explanation:
! is factorial meaning that you multiply that number by all of the number below it
9! = 9*8*7*6*5*4*3*2*1
1011 = 1011*1010*1009*1008...3*2*1
Please solve this question with proper explanation to this,
thank you
The owner of a landscaping company can determine how much time, on average, his employees spend mowing one lawn by taking hours per lawn.
How do we calculate average?An average is now a single number that is selected to represent a collection of numbers; it is frequently the sum of the numbers divided by the total number of numbers in the collection.Average When calculating the arithmetic mean, a set of numbers is added, their count is divided, and the result is then taken.The median or mode of a statistic, for example, could also be considered an average depending on the circumstance. Since the mean would be artificially inflated if it included the personal incomes of a few billionaires, the median is frequently used to represent the average personal income.The median is the value at or above which half of all personal incomes fall and half of all personal incomes rise.To learn more about average refer :
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Which expression is equivalent to quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity?.
The expression "(-3 1/4d + 3/5) - (2 7/8d + 7/10) is equivalent to "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.
An algebraic expression is a number, variable, or the combination of both and operational symbols.
To determine the equivalent of the expression "quantity negative three and one fourth times d plus three fifths end quantity minus quantity two and seven eighths times d plus seven tenths end quantity" or simply (-3 1/4d + 3/5) - (2 7/8d + 7/10), combine all like terms and perform the necessary operations.
(-3 1/4d + 3/5) - (2 7/8d + 7/10)
⇒ -3 1/4d + 3/5 - 2 7/8d - 7/10
⇒ (-3 1/4 - 2 7/8)d + 3/5 - 7/10
⇒ (-13/4 - 23/8)d + 6/10 - 7/10
⇒ (-26/8 - 23/8)d - 1/10
⇒ -49/8 d - 1/10
Hence, the equivalent expression is "negative forty nine over 8 times d minus one tenth" or -49/8d - 1/10.
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Make x the subject of m=n+x/p
Answer:
x=mp-n
Step-by-step explanation:
Switch sides:
(n+x)/p=m
Then multiply both sides by p:
n+x=mp
Move n to the other side:
x=mp-n
if the mean and mode are 15 and 10, respectively, then determine the potential range of the median for a positively skewed distribution
The median will be greater than 10 and less than 15.
Given,
The mean of the skewed distribution = 15
The mode of the skewed distribution = 10
We have to find the potential range of the median for a positively skewed distribution;
Here,
The empirical relationship between mean, median, and mode for a frequency distribution that is positively skewed is mean > median > mode. Based on this, the range of the median is 15 > median > 10 if the mean is 15 and the mode is 10.
Therefore,
The median will be higher than 10 and lower than 15.
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jasmine is 5 years younger than twice her sister age of jasmine sister 22 year old then how old is jasmine
Answer:
100000000000000000000000000
Step-by-step explanation:
Answer:
Step-by-step explanation:
i think the answer is 12
The bill for two book came to $28. 48. One book cot $7. 44. What wa the cot of the other one
Answer:
Step-by-step explanation:
Ok:
If the two books together costs $28.48 and one of them cost $7.44 Subtract to get the other book's price
2. 28.45-7.44=$21.01
3. Answer: The cost of the other one is $21.01
can anyone help ? No links please worth a lot of points! I also need a explaination and the answer for Z
Answer:
11.66
Step-by-step explanation:
10^2 + 6^2 = Z^2
100 + 36 = Z^2
136 = Z^2
sqrt(136) = Z
sqrt 136 = 11.66
Solve for x:
7x(x+1. 8)=0
Need help ASAP.
Answer is not x=-1. 8 or x=0
Answer:
Step-by-step explanation:
x = -9/5 = -1.800 or
x = 0
12. A rectangle is drawn so that the base lies on thex-axis, and the top corners are on the curvey=48−x 2. Draw a diagram. Find the maximum area of such a rectangle.
the maximum area of such a rectangle will be 144 unit²
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.
Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.
The area of rectangle is A = a*b
A = 2x*(48-x²) = 96x - 2x³
We are asked to maximize the Area as changes so hopefully, we can identify a critical point of
It an associated with a maximum, So we need to find [tex]\frac{dA}{dx}[/tex] = 0
96 - 6x² = 0
x² =96/6 = 16
x = ±6
So the width = 12
Height = 48 - 36 = 12
So the area = 144 unit²
Hence the maximum area of such a rectangle will be 144 unit²
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Student are going on a field trip to a play. The play i elling kid ticket and adult ticket. They old a total of 60 ticket. One kid ticket ell for $3 while the adult ticket i $5. They made a profit of $220 that day. How many kid ticket were old?
Number of kids ticket is 40
What do you mean by system of linear equation?
A set of two linear equations with two variables is a system of linear equations. There are infinitely many possible solutions to a linear equation with two variables. There can be a single solution to a system of two linear equations with two variables that satisfies both solutions. It is necessary to combine two equations with two variables into one equation with one variable while solving a system of equations.
Total number of tickets = 60
Cost of 1 kid ticket = $3
Cost of 1 adult ticket = $5
Total profit = $220
Let number of kid tickets = x
number of adult tickets = y
According to question:
x + y = 60 ......(1)
3x + 5y = 220 ........(2)
Substitute the value of x from eq(1) to eq(2)
3(60 - y) + 5y = 220
180 - 3y + 5y = 220
180 + 2y = 220
2y = 220 - 180
2y = 40
y = 40/2
y = 20
Substitute this value of y in eq(1)
x + 20 = 60
x = 60 - 20
x = 40
Therefore, number of kids ticket is 40
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Help I don't know how to do this
Answer:
Step-by-step explanation:
a(n) = a(1) + (n-1)d
a(n) = -9 + (n-1) x (-6-(-9)
a(n) = -9 + (n-1) x (-6 +9)
a(n)= -9 + (n-1) x 3
a(n) = -9 + 3n - 3
a(n) = 3n - 12
a(30) = 3 x 30 - 12
a(30) = 90 - 12
a(30) = 78
a penny is thrown from the top of a 52.6-meter building and hits the ground 3.31 seconds after it was thrown. the penny reached its maximum height above the ground 0.85 seconds after it was thrown. define a quadratic function, h , that expresses the height of the penny above the ground (measured in meters) as a function of the number of seconds elapsed since the penny was thrown, t.
The quadratic function which models the motion of the penny is
h(t) = -4.9t² -0.327761 t + 52.6
and the maximum height reached is 57.43
h(t) = - 0.5gt² + vt + h
g = 9.8 m/s²
h = 52.6 m
v = ?
For v,
h(t) = -0.5gt² + vt + 52.6
h(t) = - 4.9t² + vt + 52.6
Time when penny hits the ground ; t = 3.31
h(3.31) = 0
0 = -4.9(3.31)² + v(3.31) + 52.6
0 = -53.68489 + 3.31v +52.6
3.31v = -1.08489
v = -1.08489/3.31
v = -0.327761 m/s
Therefore,
h(t) = -4.9t² -0.327761 t + 52.6
2.) Maximum height of the penny above the ground
t = 0.85 seconds
h(0.85) = -4.9(0.85^2)-0.327761 (0.85) + 52.6
Maximum height reached = 57.43 meters
Therefore, the maximum height reached is 57.43 meters.
An object changing its position with regard to time is referred to as motion. Motion is mathematically characterised in terms of displacement, distance, velocity, acceleration, and speed as well as the observer's frame of reference and the measurement of the change in the body's position with respect to that frame over time. Kinematics is the area of physics that studies how motion is affected by forces, whereas dynamics is the area that studies how motion is affected by forces.
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5) Simplify the expression and identify any restrictions on x.
Answer:
attached in the file
what is the ratio of cups to flour to eggs
Answer:
Step-by-step explanation:
Answer= use 2 eggs per 1 cup of flour to make 1 serving.
Michael swam 2,000 yards on each of eighteen days.
The scatterplot above shows his swim time for and
corresponding heart rate after each swim. The line of
best fit for the data is also shown. For the swim that
took 34 minutes, Michael's actual heart rate was
about how many beats per minutes less than the rate
predicted by the line of best fit?
A) 1
B) 2
C) 3
D) 4
Michael's actual heart rate was about 2 beats per minutes less than the rate predicted by the line of best fit. The correct option is B
What is a scatterplot?A scatterplot is a data visualization that depicts the relationship between two numerical variables. Each dataset member is plotted as a point whose x-y coordinates correspond to its values for the two variables.
On each of the eighteen days, Michael swam 2,000 yards. The scatterplot above depicts his swim time and heart rate after each swim. The data's best fit line is also shown.
From the graph the actual heart rate=150
but calculated heart rate from best fit line=148
Difference between actual and calculated=150−148=2
Option B is correct.
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Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents:
three to the one third power all over three to the one sixth power
A. the square root of three to the one sixth power
B. the ninth root of three squared
C. the square root of three to the sixth power
D. the sixth root of three
Answer:
D. The sixth root of three
Step-by-step explanation:
Translate from words to math symbols:
three to the one third power all over three to the one sixth power
[tex]\frac{3^{\frac{1}{3} } }{3^{\frac{1}{6} } } \\[/tex]
Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents:
[tex]\frac{\sqrt[3]{3} }{\sqrt[6]{3} }[/tex]
Simplify:
[tex]\frac{\sqrt[3]{3} }{\sqrt[6]{3} } = \frac{\sqrt[3]{3} }{\sqrt[6]{3} } * \frac{\sqrt[6]{3^{5} } }{\sqrt[6]{3^{5} } } = \frac{\sqrt[3]{3} *\sqrt[6]{3^{5} } }{\sqrt[6]{3^{6} } } = \frac{3^{\frac{1}{3} }*3^{\frac{5}{6} } }{3^{\frac{6}{6} } } = \frac{3^{(\frac{1}{3} +\frac{5}{6} )} }{3} = \frac{3^{(\frac{2}{6} +\frac{5}{6} )} }{3} = \frac{3^{\frac{7}{6} } }{3} = \frac{3^{\frac{1}{6} } *3}{3} = \\\\3^{\frac{1}{6} } = \sqrt[6]{3}[/tex]
Answer:
[tex]\sqrt[6]{3}[/tex]
D. the sixth root of three
