For the question "A new washer and dryer set costs $1250 with an annual expenditure of $100 for electricity..." None of the options are correct
What is annual expenditure?The statement "The annual cost of the washer-dryer set will never exceed $100 during the life of the set" is false because the function C(n) is defined as C(n) = (1250 + 100(n))/n,
A washer-dryer set has an average lifetime of 10ten years
But given the function
C(n) = (1250 + 100(n))/n,
even after 5000 years, the washer-dryer set will still be above $100 as shown below
[tex]C(5000)=\frac{1250+100\left(500000\right)}{500000}[/tex]
C(5000)=100.0025
b) For the given function C(n) = (1250 + 100n) / n, the highest power of x is 1 in both the numerator and denominator. The leading coefficient of the numerator is 100 and the leading coefficient of the denominator is 1, so the horizontal asymptote is the line y = 100.
To find the vertical asymptotes of a rational function, we need to look for values of x that make the denominator equal to 0, but the numerator not equal to 0. These values of x will be the vertical asymptotes of the graph.
For the given function C(n) = (1250 + 100n) / n, the denominator is n, so the vertical asymptotes are x = 0.
Therefore, the asymptotes of the graph of C(n) = (1250 + 100n) / n are the horizontal asymptote y = 100 and the vertical asymptote x = 0.
The statement "The asymptotes of the function are at x = –12.5 and y = 100" is false because a function does not have asymptotes if it is defined for all values of x. In this case, the function C(n) is defined for all positive values of n, so it does not have asymptotes.
c) The statement "The annual cost after 10 years is $225 assuming only purchase and electricity expenses" is false because the annual cost after 10 years is given by
C(10) = (1250 + 100*10)/10
C(10)=225
But
= 225 + 100 (10)
=225000
Therefore, the annual cost after 10 years is $225000, not $225.
Hence given this none of the Options are correct
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CQ
A new washer and dryer set costs $1250 with an annual expenditure of $100 for electricity.
The function C(n) =1250+100n/n represents the annual cost of operating the washer-dryer set (besides the $100 for electricity) as a function of n years of owning the set.
Which of the following statement(s) about the function is true?
I. The annual cost of the washer-dryer set will never exceed $100 during the life of the set.
II. The asymptotes of the function are at x = –12.5 and y = 100.
III. The annual cost after 10 years is $225 assuming only purchase and electricity expenses.
F I only
G I and II only
H I and III only
J I, II, and III
Points B, D, and F are midpoints of the sides of
AACE. EC 32 and DF = 20. Find AC.
The diagram is not to scale.
A
F
B
The value of the side AC is 40 if the points B, D, and F are midpoints of
the sides of ΔACE.
What is the mid-point of a triangle?The midpoint theorem states that in order to determine the midpoints of a triangle's sides, "a line segment linking any two of its midpoints is said to be parallel to the triangle's third side and also half the length of the third side."
Divide the distance between the two endpoints by 2, then do it again. The two terminal x coordinates can alternatively be combined, then the result divided by two. Draw a line from a midway to the opposite corner. The centroid of a triangle is the point at where the three medians intersect.
Given,
The points B, D, F are midpoints of the sides of a triangle ACE.
And also given that,
EC =32 and DF=20, AC=?
So, FD=1/2(AC)
AC=2(FD)
AC=2(20)
AC=40
Therefore, the value of the side AC is 40 if the points B, D, and F are
midpoints of the sides of ΔACE.
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The cost (c) to paint a building varies directly with the area of the surface being painted (a) in square feet. It costs $3,000 to paint a room with a surface area of 1,500 square feet. Determine an equation that gives the relationship between c and a.
The equation that gives the relationship between cost (c) and area (a) is c = 2a
How to determine an equation that gives the relationship between cost and area?A variation is a relation between a set of values of one variable and a set of values of other variables
Given that: the cost (c) to paint a building varies directly with the area of the surface being painted (a) in square feet
We can write:
c α a
c = ka
where k is the constant of proportionality
since c = $3,000 and a = 1500
c = ka
3000 = 1500k
k = 3000/1500
k = 2
Thus, the equation of the relationship is c = 2a
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Find the values of x and z !!
The value of x and z are [tex]4^\circ, 96^\circ[/tex].
Now from the picture I can say that, [tex]\angleAOB[/tex][tex]\angle AOB[/tex] and [tex]\angleCOD[/tex][tex]\angle COD[/tex] are opposite angles.
We know the measure of the triangle are equal in Pair.
So we have got the equation as -
[tex]10x+44=13x+32[/tex]
⇒[tex]13x-10x=44-32[/tex]
⇒3x=12
⇒x=4.
We have got that the measure of [tex]\angle AOB, \angle COD[/tex] are both [tex]84^\circ[/tex].
Now angles around a point add to [tex]360^\circ[/tex].
So, [tex]\angle AOD[/tex] and [tex]\angle BOC[/tex] are equal since they are pairwaite wisw.
Now, [tex]z+z= 360^\circ - (84^\circ+84^\circ)[/tex]
⇒[tex]2z=192^\circ[/tex]
⇒ [tex]z=96^\circ[/tex],
Hence we have got the value of x and z i.e. 4 and 96.
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A piece of cheese is shaped like a triangle. It has a height of 2.5 inches and a base that is 4.75 inches long. If 1 inch = 2.54 centimeters, find the area of the cheese in square centimeters. Round the answer to the nearest square centimeter. Please answer this thank you!
Answer:
[tex]A \approx 38 \, \textrm{cm}^2[/tex]
Step-by-step explanation:
The area of a triangle is defined as:
[tex]A_\triangle = \dfrac{1}{2}bh[/tex]
where [tex]b[/tex] is the length of its base and [tex]h[/tex] is its height.
So, we can plug the given values into this formula along with the inch to centimeter conversion to get the answer to this problem.
[tex]A=\dfrac{1}{2}\left(4.75\, \textrm{in} \times \dfrac{2.54 \, \textrm{cm}}{1 \, \textrm{in}}\right)\left(2.5\, \textrm{in} \times \dfrac{2.54 \, \textrm{cm}}{1 \, \textrm{in}}\right)[/tex]
And simplify.
[tex]A \approx 38 \, \textrm{cm}^2[/tex]
Alonso went to the market with \$55$55dollar sign, 55 to buy eggs and sugar. He knows he needs a package of 121212 eggs that costs \$2.75$2.75dollar sign, 2, point, 75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money. The sugar he likes comes in boxes that each cost \$11.50$11.50dollar sign, 11, point, 50
The number of boxes of sugar that Alonso can buy are 4.5 boxes.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Alonso went to the market with $55 to buy eggs and sugar. He knows he needs a package of 12 eggs that costs $2.75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money.
The money remaining after buying 12 eggs : {r} = $(55 -2.75).
Cost of one box of sugar = $11.5
The number of boxes that he can buy are -
n = (55 - 2.75)/11.5
n = 4.5 boxes {approx.}
Therefore, the number of boxes of sugar that Alonso can buy are 4.5 boxes.
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Angie is determining the volume of a box in the shape of a rectangular prism. She finds the length is 2cm more than the width and 3 cm less than the depth. Which equation can Angie use to get the volume of the box, in cubic centimeters?
A. V = w(w+2)(w+3)
B. V = w(w+2)(w+5)
C. V = w(w-2)(w-3)
D. V = (w+2)(w+5)
The volume of a box in the shape of a rectangular prism is y³ +7y² +10y cm³.
What is a rectangular Prism ?
A polyhedron with two congruent and parallel bases is known as a rectangular prism. It's also known as a cuboid.
A rectangular prism has six faces, each of which is in the shape of a rectangle and has twelve edges. It's called a prism because of its cross-section along its length.
It is given that length of the rectangular prism has length of 2 cm more than the width and 3 cm less than the depth
Let the depth be x cm
and width be y cm
Then the length will be y+2 cm and x-3 cm
y+2 = x- 3
x = y+5
A rectangular prism is a cuboid with six faces
Volume of a rectangular prism can be written as
length * width * depth
= (y+2) *x*y
= (y+2)* (y+5)*y
= (y²+2y)(y+5)
= y³ +5y²+2y²+10y
= y³ +7y² +10y cm³
Therefore the volume of a box in the shape of a rectangular prism is y³ +7y² +10y cm³.
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Answer question #9
The response is incorrect and I need help on getting the correct answer
Answer:
congruence is compatibility or agreement while equal is the same or equivalent to one another.
How would i solve for E
Answer:
5/13
Step-by-step explanation:
[tex]CE=\sqrt{10^2 + 24^2}=26 \\ \\ \cos E=\frac{10}{26}=\frac{5}{13}[/tex]
Steven is a waiter. He earns $3.45 an hour plus 20% tips. One day he worked 7 hours and served meals costing $497 what were his earring? Round you answer to the nearest cent.
Select the correct answer.
Which graph represents function g?
g(x) = (-x)1/2
Answer:
Step-by-step explanation:
g(x) = (-x)1/2
5. Which of the following is an arithmetic
sequence?
A
B
C
D
-2, -5, -8, -11, -14, -17, ...
0,5, 0, 10, 0, 15, ...
2, 4, 8, 16, 32, ...
5, 11, 17, 23, 29, 36, ...
Answer:
A. -2, -5, -8, -11, -14, -17, ...
Step-by-step explanation:
The difference between consecutive terms is constant.
Consider the line -8x -6y = -4.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Slope of the line is .[tex]\frac{-4}{3}[/tex]
Slope of the line perpendicular to the given line is [tex]\frac{3}{4}[/tex]
What is the slope of a line?A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.
Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.
A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. As opposed to the net change in the x coordinate, the net change in the y coordinate is y.
y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
A line's slope is a measurement of how steep it is or the direction it is going in relation to a coordinate system.
where m is the slope and m = y/x
Take notice that tanФ = y/x.
This tanФ is often referred to as the line's slope.
Calculation:The given equation is of the form [tex]ax+by=c[/tex]
On comparing we can say that a is -8 and b is -6
So using the slope formula [tex]\frac{-A}{B}[/tex] we get slope as [tex]\frac{4}{-3}[/tex]
The perpendicular line slope can be found out by equation [tex]m1.m2=-1[/tex]
Therefore substituting slope from the above as m1 we get m2 = [tex]\frac{3}{4}[/tex]
Slope of the line is .[tex]\frac{-4}{3}[/tex]
Slope of the line perpendicular to the given line is [tex]\frac{3}{4}[/tex]
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what is the conditional probability that a randomly-generated 4-bit string contains two consecutive 1s, given that the first bit of the string is a 1?
The conditional probability that a randomly-generated 4-bit string contains two consecutive 1s is 3 / 8 .
total length of four-bit strings = 16
Let S represent the collection of all four-bit bit strings.
Let A represent the occurrence of a randomly generated string beginning with 1.
Let B represent the scenario where a string created at random contains two consecutive 0s.
S has 8 strings that begin with the letter "1."
P( A ) = 8 / 16 = 1 / 2
Strings in S starting with 1 and having two consecutive zeros are 1000 , 1001 , 1100
P(A ∩ B) = 3 / 16
Conditional probability that at least two consecutive 0s will appear in a randomly generated bit string of length four is ,
3/16 / 1/2
= 3 / 8
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The original selling price was $171.59. The sale proteas $148.37. What is the first step in finding the percent markdown? Find the percent markdown
The original price is $171.59 and the price during sales is $148.37 then the percent markdown will be 13.53%.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Original selling price = $171.59
Price during sales = $148.37
Then, the percentage markdown will be,
% markdown = (171.59 - 148.37)/171.59 × 100
= 23.22/171.59 × 100
% markdown = 13.53%
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A tutor guarantees that 10% of her students will obtain A on every test they write. For the last test, the mean mark is 68 and the standard deviation is 6.
What mark is required to receive an A on the test?
The mark that is required to receive an A on the test is; 75.68
How to find sample mean?The formula for z-score here with the parameters given is;
z = (x' - μ)/σ
where;
x' is sample mean
μ is population mean
σ is standard deviation
We are given;
p-value = 10% = 0.1
μ = 68
σ = 6
Now, from z-score tables, the z-score at a p-value of 0.1 is z = 1.28. Thus;
1.28 = (x' - 68)/6
x' = 68 + (1.28 * 6)
x' = 75.68
We conclude that this value is the mark required to receive an A on the test.
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how many ways can a group of 7 adults and 4 children stand in a line if no two children are allowed to stand next to each other?
We can arrange the group in 120960 different ways.
Given,
Number of adults = 7
Number of children = 4
We have to find the number of ways they can stand when no two children are allowed to stand together;
Here,
Arrange 7 adults in a row of 7 ; 7
Number of arrangements = 7! = 5040
Consider that there are four possible placements for a child, but only one youngster can be placed in each of them: on either side of the row of adults, or in between two adults.
Consequently, pick one place for each youngster from the possibilities below: 4 for the first adult, 3 for the second,... the final adult's two options are = 4 × 3 × 2 = 24 arrangements
Add the two groupings together = 5040 × 24 = 120960
Therefore,
There is 120960 ways to arrange the standing position of the group.
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what is the slope if the line that passes through the points (10,8) and (7,14)? write your answer in simplest form
Answer:
-2
Step-by-step explanation:
we use the y2-y1/x2-x1 fomrula to find slope
14-8/7-10
6/-3
-2 is the slope
hopes this helps
what is the probability of rolling a six sided die six times and having all numbers from 1 through 6 appear once in any order?
The final answer is that the probability of rolling a six sided die six times and having all numbers from 1 through 6 appear once in any order is 1.54.
This is calculated by probability of independent events.
We know that any die can get any of the six sides and all the throws are independent, so their intersection is given by the product.
So, P(A and B occurring together )= P(A)P(B) if A and B are independent.
And the probability of the throws i.e. the no. of ways every throw gets a unique number is (6/6) x (5/6) x (4/6) x (3/6) x (2/6) x (1/6)
This is because, being the probability of independent events , they are multiplied.
so, the total probability is 6.5.4.3.2.1/6^6 = 1.54
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One group of carolers goes to every 6th house in a neighborhood, another goes to every 8th house. At which house will they first meet?
The house that they will first meet if a group of carolers goes to every 6th house in a neighborhood, another goes to every 8th house is the 24th house.
How to calculate the multiple?The smallest positive integer that is divisible by both a and b is known as the least common multiple, lowest common multiple, or smallest common multiple of two integers, or lcm(a, b), in mathematics and number theory. Since the result of dividing an integer by zero is undefinable, this definition only applies if both a and b are not equal to zero.
Before fractions can be added, subtracted, or compared, the "lowest common denominator" can be employed.
From the information, a group of carolers goes to every 6th house in a neighborhood, another goes to every 8th house.
It should be noted that this will be illustrated through tye lowest common multiple.
Multiples of 6 = 6, 12, 18, 24
Multiples of 8 = 8, 16, 24
Therefore, they'll meet at the 24th house.
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if w denotes weight, n denotes number of items, m denotes maximum capacity constraint, and x =0 or 1, what would be the valid bounding condition/conditions for the sum of the subset problem?
So the valid bounding conditions for the sum of the subset problem are:
0 <= x[i] <= 1 (for all i such that 1 <= i <= n)
∑(w[i] * x[i]) <= m (for all i such that 1 <= i <= n)
The valid bounding condition for the sum of the subset problem is:
0 <= x[i] <= 1 (for all i such that 1 <= i <= n)
This means that each item can either be included in the subset (x[i] = 1) or not included in the subset (x[i] = 0).
The sum of the weights of the items in the subset should not exceed the maximum capacity constraint, m. So the bounding condition for the weight of the subset is:
∑(w[i] * x[i]) <= m (for all i such that 1 <= i <= n)
This means that the sum of the weights of the items in the subset should be less than or equal to the maximum capacity constraint.
So the valid bounding conditions for the sum of the subset problem are:
0 <= x[i] <= 1 (for all i such that 1 <= i <= n)
∑(w[i] * x[i]) <= m (for all i such that 1 <= i <= n)
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A football team has four different jerseys that players wear throughout the season: school colors, white, throwback, and pink (for breast cancer awareness). The tree diagram shows the conditional probabilities of the outcome of their games when players wear each type of jersey.
For a randomly selected game, determine the probability that players wore their white jerseys, given that they won.
0.34
0.41
0.42
0.80
Answer:0.41
Step-by-step explanation:
what is the value of 18 to the third power
Answer:
5832
Step-by-step explanation:
What is the quotient of 535 ÷ 30? Enter your answer in the boxes.
Number 49. Please help Graphing inequalities? Why is the answer A? Please do a step by step explanation for each answer choice.
I don't see the picture. Can you send it in the message.
Rewrite 3x + 15 as the product of two factors
Answer:
Below
Step-by-step explanation:
3x+15 <==== factor out '3'
3 * ( x+5) done !
Simplify the expression 10^log5
Answer:
5
Step-by-step explanation:
The logarithm function, denoted as "log," is the inverse of the exponentiation function. This means that if we have the expression "log(x) = y," then "x" is the base "b" raised to the power "y." In other words, "x" is equal to "b^y."
Using this definition, we can simplify the expression "10^log5" as follows:
10^log5 = 10^y
Where "y" is the exponent to which the base "10" must be raised to produce the result "5."
To find the value of "y," we can use the property of logarithms that states "log(b^y) = y." Applying this property to our expression, we have:
log(10^y) = y
Since "10^y" is equal to "5," we can substitute "5" for "10^y" in the above equation:
log(5) = y
Solving for "y," we find that "y = log(5)."
Therefore, the expression "10^log5" can be simplified to:
10^log(5) = 10^(log(5)) = 5
So the simplified result is 5.
it is known that pre-schoolers, on average, spend three hours a week on tablets. i believe that this is no longer true, and that the average time that pre-schoolers spend on tablets differs in either direction from the previously given average. i calculate a z-test statistic of 1.74. what is my statistical decision?
Retain the null because 1.74 is greater than 1.645.
What is z - test statistic?
Any statistical test for which the test statistic's distribution under the null hypothesis can be roughly represented by a normal distribution is known as a Z-test.
Z-tests examine a distribution's mean.
Let X be the average time that prescholars spend on tablets.
X ~ N(μ, α^2)
To test H0: μ = 3 hours Vs H1: μ ≠ 3 hours.
The z - test statistic is obtained as 1.74.
Taking level of significance α = 0.05
Zα/2 = [tex]Z_0_._0_2_5 = 1.96[/tex]
Since the observed z - statistic is 1.74 which is less than Zα/2 = [tex]Z_0_._0_2_5 = 1.96[/tex],
so we retain the null hypothesis.
Hence, retain the null because 1.74 is greater than 1.645.
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Complete question:
Complete question is attached below.
what is the answer to this question?
−6(4y + 4y + (−4))
Answer:
-48y+24
Step-by-step explanation:
−6(4y + 4y + (−4))
=-6(8y+-4)
=-48y+24
Answer:
-48y + 24
Step-by-step explanation:
−6(4y + 4y + (−4)) =
= −6(8y - 4)
= -48y + 24
What is 213 divided? Also how do you break 23 into tens and ones?
Answer:
What is 213 divided? 2 I think
Also how do you break 23 into tens and ones? It would be 2 tens and then it would be 3 ones
50 POINTS!!! Which graph represents this system? y = 3. x + y = 4. Which graph represents this system? y = 3. x + y = 4. On a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (3, 7). On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (2, 6). On a coordinate plane, a vertical line is at x = 3 and another line goes through (0, 4) and (4, 0). On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).
For a system with equations y = f(x) and y = g(x), the graph of the system will be just a coordinate plane with the two functions graphed on it.
What is functions graphed?
What Does Graphing Functions Mean? Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) represents the function. As an illustration, the graph below depicts the linear function f(x) = -x+ 2.
From this, we can see that the correct option is the first one:
"On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0)."
Also a graph of the system can be seen at the end of this answer.
Here our system is:
y = 3
x + y = 4
The first one is a horizontal line at y = 3.
The second can be rewritten as:
y = -x + 4
So this is a line with a negative slope, that passes through the points (0, 4) (when you evaluate in x = 0, you get y = 4) and (4, 0) (when you evaluate in x = 4, you get y = 0)
Then the correct option is the first one:
"On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0)."
The graph can be seen below
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