Answer:
a
[tex]A = \$66 \foot [/tex]
b
tex]C(10)' = \$60 / feet[/tex]
c
[tex]C(10)' = \$79.696 \ feet [/tex]
Step-by-step explanation:
From the question we are told that
The price per square foot of a floor tile is [tex]p = \$ 3[/tex]
The cost of shipping is [tex]s = \$ 20[/tex]
The current length of the square bathroom is x = 10 ft
The new length is [tex]x_ 1 = 12 \ ft[/tex]
Generally the equation representing the cost of the square tile is mathematically represented as
[tex]C(x) = 3x^2 + 20[/tex]
Generally the average rate of change of cost is mathematically represented as
[tex]A = \frac{ cost \ for\ a \ 12 feet \ bathroom - cost \ for\ a \ 10 feet \ bathroom }{12 feet - 10 feet}[/tex]
Generally the cost for flooring a 12 feet square bathroom is mathematically represented as
[tex]C(12) = 3(12)^2 + 20[/tex]
=> [tex]C(12) = \$ 452 [/tex]
Generally the cost for flooring a 10 feet square bathroom is mathematically represented as
[tex]C(10) = 3(10)^2 + 20[/tex]
=> [tex]C(10) = \$320[/tex]
So
[tex]A = \frac{ 452- 320 }{12 feet - 10 feet}[/tex]
=> [tex]A = \$66 \foot [/tex]
Generally the instantaneous rate of change of cost is obtained by the differentiating the cost function as follows
[tex]C(x) = 3x^2 + 20[/tex]
[tex]C(x)' = \frac{dC(x)}{dx} = 6x[/tex]
So the instantaneous rate of change of cost at length 10 feet is mathematically represented as
[tex]C(10)' = 6(10)[/tex]
=> [tex]C(10)' = \$60 / feet[/tex]
Generally given that the new cost function is
[tex]C(x) = 20(1 + sinx) + 3x^2[/tex]
Now the instantaneous rate of change of cost will now be
[tex]C(x)' = 20cos(x) + 6x[/tex]
So the instantaneous rate of change of cost at length 10 feet is mathematically represented as
[tex]C(10)' = 20cos(10) + 6* 10 [/tex]
=> [tex]C(10)' = \$79.696 \ feet [/tex]
How much work is required to lift a 2.90 kg object from the bottom of a well 8.7 m deep?
Answer:
THE ANSWER IS YOU CAN DO IT BECAUSE YOUR SMART!!!!!
Step-by-step explanation:
Write the equation of the line represented by the following table.
Answer:
y=100x+400
Step-by-step explanation:
change in y over change in x gives slope and the y intercept is 400
What is the value of X
add the following conceptually and using the standard algorithm 79-26
Answer: 53
Step-by-step explanation:
79
-26
53
Which values are two of the possible solutions to the equation?
Answer:
#1
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
did it on ed
Which one of these is the identity for addition?
Group of answer choices
0
1
-1
Answer:
Zero
Step-by-step explanation:
In math, an identity is a number, n, that when added to other numbers, gives the same number, n. The additive identity is always zero. This brings us to the identity property of addition, which simply states that when you add zero to any number, it equals the number itself
Answer:
Zero
Step-by-step explanation:
In math, an identity is a number, n, that when added to other numbers, gives the same number, n. The additive identity is always zero. This brings us to the identity property of addition, which simply states that when you add zero to any number, it equals the number itself
Step-by-step explanation:
If you flip a coin 11 times, what is the probability of ending up with more heads than tails?
Answer:
55%
Step-by-step explanation:
write the given equation of a line that passes through two given points (0,1) and (2,2)
Answer:
m=slope y = intercept
m= y2-y1 / x2-x1
2-1 / 2-0 = 1 /2
now pick one of the points and put in for y and x
use (2,2) 2= 1/2(2) +b
2=1 + b
2-1 =1-1 +b subtract 1 from each side
1 = b This is your y intercept
Step-by-step explanation:
The equation of the line passing through points (0,1) and (2,2) will be y = ( 1 / 2) x + 1
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope= 2-1 / 2-0 = 1 /2
Now pick one of the points and put in for y and x use (2,2).
2= 1/2(2) +b
2=1 + b
2-1 =1-1 +b subtract 1 from each side
1 = b This is your y-intercept
The equation will be written as:-
y = ( 1 / 2) x + 1
Therefore, the equation of the line passing through points (0,1) and (2,2) will be y = ( 1 / 2) x + 1.
To know more about an equation of the line follow
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CAN SOMEONE HELP ANSWER THIS AND EXPLAIN
Answer:
In the first section the steps are wrong because they ditributed the 2 wrong they 1 shpuld be a 2 in the second row of unbolded numbers
Why does this not exist? I thought if you plugged in infinity, you would just get infinity. Do you not plug in infinity?
Answer:
See below
Step-by-step explanation:
It does not exist because the
[tex](-1)^x[/tex]
doesn't tend to some value it just loop around
[tex]-1, 1[/tex]
for ever
it exist when we have
[tex]\lim_{x\rightarrow \infty}[(\frac{1}{x})][/tex]
there when the value of x increasing the fractions tends to 0
so we can say that when x approaches infinity the value is 0.
Tell me if i haven't made myself clear
What is the domain and range of the function?
Answer:
Domain: (-∞,∞)
Range: (-∞,∞)
Camry is a popular car manufactured by Japanese Car manufacturer, Toyota. Being one of the best selling cars in USA, all of the Camry models in USA are manufactured and assembled by Toyota Motor Manufacturing at Georgetown, Kentucky. A car dealer wanted to find out the average mileage for driving inside city for Toyota Camry (2020 US) model cars. He took a sample of 117 Toyota Camry (2020 US) cars and finds that the average mileage for these cars is 27.8 mpg. Based on the information given above, match the following.
1. All the cars manufactured by the Japanese Car Manufacturer, Toyota.
2. All Toyota Camry (2020 US) model cars. < Population
3. The average mileage for driving inside city for all the cars manufactured by Toyota. Sample
4. 117 Toyota Camry (2020 US) cars that are sampled. Parameter
5. All the best selling cars in USA. Statistic
6. The average mileage in city for the 117 sampled Toyota Camry (2020 US) cars, that is, 27.8 mpg.
7. The average mileage of all Toyota Camry (2020 US) model cars.
Answer:
Explained below.
Step-by-step explanation:
A population is the set of all the data that can be collected and from which a smaller set of data is drawn for further examination. A population may denote to a group of individuals, articles, trials or measurements. A population can thus be called as a collection of information regarding subjects combined together by a common characteristic.
A sample denotes a smaller, controllable form of a larger cluster. It is a subset comprising of the characteristics of a bigger population. Samples are used in statistical experiments when the population under consideration is too large for the test to include all the members.
A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.
While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.
A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.
The matched pairs are as follows:
Population: 2. All Toyota Camry (2020 US) model cars.
Sample: 4. 117 Toyota Camry (2020 US) cars that are sampled.
Parameter: 7. The average mileage of all Toyota Camry (2020 US) model cars.
Statistics: 6. The average mileage in city for the 117 sampled Toyota Camry (2020 US) cars, that is, 27.8 mpg.
What is the slope of the line y+4=1/2(x-3)
A. -3
B. 1/2
C. 1
D. 2
E. 3
F. 4
Answer:
The slope of the line is 1/2
David car would cover one lap of the Indy 500 in about 90 seconds. Chris’s car could cover one lap in about 54 seconds. If both cars left the same starting point at the same time, after how many seconds would they meet again at the starting Point ?
Answer:
36
Step-by-step explanation:
it took David's car 90 seconds and chris's car 54 seconds so that means
90-54=36
The number of seconds would they meet again at the starting point will be 270 seconds.
What is the least common factor (LCM)?The corresponding value integer that can be divided by both is known as the lowest relevant multiple, commonly referred to as the lowest common multiple of pair (or more) numerals a and b.
David's car would cover one lap of the Indy 500 in about 90 seconds. Chris’s car could cover one lap in about 54 seconds.
If both cars left the same starting point at the same time. Then the number of seconds would they meet again at the starting point will be given as,
L.C.M. = 90, 54
L.C.M. = 2 x 3 x 3 x 5, 2 x 3 x 3 x 3
L.C.M. = 2 x 3 x 3 x 3 x 5
L.C.M. = 270 seconds
The number of seconds would they meet again at the starting point will be 270 seconds.
More about the least common factor link is given below.
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Which expression is equivalent to 1/4 -3/4 x?
Answer:
factor out 1/4 from the expression
1/4x(1-3x)
How much time will Alex need to walk to his school, which is 2 1 4 miles away from his house, if he would walk with the speed of 3 mph
Step-by-step explanation:
[tex]9.16 = 585288 { \sqrt[5 < 63 = 33 \times \\ ]{?} }^{?} [/tex]
Answer: Its 0.75 hours :)
The Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United States. For restaurants located in Boston, the average price of a dinner, including one drink and tip, was . You are leaving on a business trip to Boston and will eat dinner at three of these restaurants. Your company will reimburse you for a maximum of per dinner. Business associates familiar with these restaurants have told you that the meal cost at one-third of these restaurants will exceed . Suppose that you randomly select three of these restaurants for dinner. a. What is the probability that none of the meals will exceed the cost covered by your company (to 4 decimals)
Answer:
Hello your question has some missing part below is the missing part
The Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United States. For 15 restaurants located in Boston, the average price of a dinner, including one drink and tip, was $48.60. You are leaving for a business trip to Boston and will eat dinner at three of these restaurants. Your company will reimburse you for a maximum of $50 per dinner. Business associates familiar with these restaurants have told you that the meal cost at one-third of these restaurants will exceed $50. Suppose that you randomly select three of these restaurants for dinner.
Answer : 0.2637
Step-by-step explanation:
Average price of dinner including one drink and a tip in Boston = $48.60
Number of restaurants = 15
number of restaurants whose meal cost more than $50 = 1/3 * 15 = 5
Probability that None of the meals will exceed the cost covered by your company
ATTACHED BELOW is the solution
P( none ) = 0.2637
How is the Remainder Theorem related to the process of synthetic division?
Answer:
The Remainder Theorem states that f(c) = the remainder. So if the remainder comes out to be 0 when you apply synthetic division, then x - c is a factor of f(x). by x - 2. Use the result to find all zeros of f
which property of equality is 4x-3=x+9
Answer:
Two equations that have the same solution are called equivalent equations e.g. 5 +3 = 2 + 6. And this as we learned in a previous section is shown by the equality sign =. An inverse operation are two operations that undo each other e.g. addition and subtraction or multiplication and division. You can perform the same inverse operation on each side of an equivalent equation without changing the equality.
5+3−2=6+2−2
This gives us a couple of properties that hold true for all equations.
The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation
ifa−b=c,thena−b+b=c+b,ora=c+b
The same goes with the subtraction property of equality.
ifa+b=c,thena+b−b=c−b,ora=c−b
As well as it goes for the multiplication property of equality. If you multiply each side of an equation with the same nonzero number you produce an equivalent equation.
ifab=c,andb≠0,thenab⋅b=c⋅b,ora=cb
And naturally this goes for the division property of equality as well. You can divide each side of an equation with the same nonzero number to produce an equivalent equation
ifa⋅b=c,andb≠0,thena⋅bb=cb,ora=cb
This gives us a way to change an equation to our own liking. Anything is acceptable as long as you do the same thing on both sides.
so pretty much what I'm tryna say it x=4
sorry for being so extra-
Can someone help on the whole page please... really need help
Answer:
See attached
Step-by-step explanation:
The answer filled in the paper, refer to attachment
In your own words, explain what it means to dilate a triangle.
Answer:
It means that you take a triangle and make another one but this time it is not the same size of the first one but the same shape. In other words make it bigger or smaller than the first one.
Suppose the last column of AB is entirely zero but B itself has no column of zeros. What can you say about the columns of A? Choose the correct answer below. A. The columns of A must be the identity matrix columns because if the last column in B is denoted , then the last column of AB can be rewritten as A0. This implies that A must be the identity matrix to ensure that the last column of AB is all zeros. B. The columns of A are linearly independent because if the last column in B is denoted , then the last column of AB can be rewritten as A0. Since is not all zeros, then the only solution to A0 is the trivial solution. C. The columns of A are linearly dependent because if the last column in B is denoted , then the last column of AB can be rewritten as A0. Since is not all zeros, then any solution to A0 can not be the trivial solution. D. The columns of A must all have entries of zero because if the last column in B is denoted , then the last column of AB can be rewritten as A0. This implies that A must have columns that are composed of only zeros and therefore AB must be the zero matrix.
Answer:
The correct option is C, the columns of A are linearly dependent because if the last column in B is denoted , then the last column of AB can be rewritten as A0. Since B is not all zeros, then any solution to A0 can not be the trivial solution
Step-by-step explanation:
Firstly, have to define linear dependency to get a clear picture of what is to be done.
If we have two vectors A and B, they are said to be linearly independent if Ax + By = 0 if and only if x = y = 0. Otherwise they are linearly dependent.
Now, let p denote the last column of the matrix B. We are given that the last column of AB is zero, therefore Ap = 0. Although p is not the zero vector, because B has no columns of zeros, therefore the equation Ap = 0 is a linear dependence relation among the columns of A. Hence, the columns of A are linearly dependent.
4(x - 1) - x= 3(x + 5) –11
Answer:
4
Step-by-step explanation:
Answer:
No solution
Hope this helps! :)
79% of what number is 181
Please help me I can’t figure it out
Answer:
its C.
Step-by-step explanation:
omg that took forever to solve
factorise x2-5x-750=0
Answer:
(x+25)(x-30)
Step-by-step explanation:
Does anyone know this please
can you please help im running out of time9) -23 - (-14)= *
Acell phone company charges $3.00 to make a phone call plus $0.15 for
each minute for each minute you talk. Which equation would you use to
determine the total cost, c, of a phone call that is m number of minutes
long?
C=0,15 - 300m c-3.00 -0.15m
3.00 = € + 0,19
C = 3,00 + 0.15m
Answer:
Hi there!
Your answer is:
3+.15m =c
I cannot read your answer choices, but that is your answer. I believe your answer choice that matches is the lowest one; C= 3,00 +.15m
Hope this Helps
Which is the equation of a line that has a slope of -3 and passes through point
(-3,-1)
Answer:
Use y-y1 = m*(x-x1) where m = slope and (x1,y1) is the point.
Step-by-step explanation:
found the info on a random website