In 2010, the average cost of electricity was 11.54 cents per kilowatt hour. In 2014, the average cost of electricity
was 12.52 cents per kilowatt hour.
Which function models the average retail price of electricity, f(x), in cents per kilowatt hour, x years after 2010?
A. f(x) - 0.98x + 4.00
B. f(x) = 0.245x + 11.54
C. f(x) = 0.738x + 11.54
D. f(x) = 4.082x + 1962.89
Answers
Answer:
B
Step-by-step explanation:
First take 12.52 and subtract 11.54 to find the amount it had decreased. (.98)
After that, divide it by 4 (because it increased by .98 over 4 years) and you get .245 a year.
and sense your starting value was 11.54 the +11.54 also checks out
Gage Millar, algebra 2 tutor.
The function modeling the given situation of retail price of electricity in cents per kilowatt hour, x years after 2010 is: Option C. \(f(x) = 0.245x + 11.54\) (in cents/kilowatt hour)
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Since the problem asks us to find the cost of electricity x years after 2010, thus, the increasing rate will add up itself x times and this addition will then be added to the price which is getting increased, which is 2010's price.
(since 2011's price = price of 2010 + constant increment,
2012's price = price of 2010 + twice of constant increment, and so on for further years)
Thus, f(x) = increment per year times x + price in 2010
Now assuming that increment in price per year is constant, we see:
Increment per year in electricity price= (price in 2014 - price in 2010)/4
Increment per year in electricity price = (0.98)/4 = 0.245 cents per year
Thus, we get:
\(f(x) = 0.245x + 11.54\) as the price of the electricity in cents per kilowatt hour after x years from 2010.
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Related Questions
Given a = 4, b=-2 and c = 8, evaluate a + b + c.
14
10
6
Answers
So b) 10
Answer:
10.
Step-by-step explanation:
The equation is 4 + (-2) + 8.
You add -2 to 4 which is 2.
Then you add 8 to 2.
This gives you 10.
In an AOL survey of Internet users, this question was posted online: "Have you ever been hit by a computer virus?" Among the 170,063 responses, 63% answered "yes."
The population will be _______.
Question 11 options:
170,063 responses.
all internet users.
63% answered "yes."
an AOL survey.
Answers
The population based on the information will be B. all internet users.
What is a population?In statistics, a population is a group of similar items or events that are relevant to a particular question or experiment. A statistical population can be a group of existing objects or a hypothetical and potentially infinite group of objects conceived as an experience-based generalization.
A population is any complete group that shares at least one characteristic. Populations are more than just individuals. People, animals, businesses, buildings, motor vehicles, farms, objects, or events are examples of populations.
In this case, In an AOL survey of Internet there wwe'r 170,063 responses, and 63% answered "yes. The population is the internet users.
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what is the correct number of significant figures resulting from the following calculation? (2.461×4.215)−5.122
Answers
When the significant figures are being calculated, the last digit of the result is always uncertain. If there are no remaining digits, it is significant. When multiplication or division is performed, the calculation's outcome is limited to the number of significant figures present in the number with the fewest significant figures.
To know how many significant figures are in the following calculation, (2.461 × 4.215) - 5.122, we need to follow the following steps;2.461 × 4.215 = 10.386915 (multiply first)10.386915 - 5.122 = 5.264915 (subtract next)To determine the final number of significant figures in the result, use the number with the least significant figures. So, 5.122 has the least number of significant figures, which is four (4), so the result is limited to four (4) significant figures. Therefore, the number of significant figures is four (4).This calculation has three (3) significant figures that are reliable. The trailing zeros to the right of the decimal place do not provide any additional information. So, the answer is:There are four (4) significant figures resulting from the given calculation.
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Please help I need this
Answers
Answer:
3m-8
Step-by-step explanation:
Kelly = 8 less than (-8) 3 times Marcy (3m)
Each triangle in the STL file is defined by the vertices and inward pointing surface normal vector True O False Since the STL file is created from the Solid Model, it can be reconverted into the original CAD model O True False Which one of the following is NOT an advantage of using lattice structure? Reducing the weight Saving the material cost Simplifying the design and manufacturing process Increasing the heat exchange area for a heat exchanger
Answers
False. Each triangle in the STL file is defined by the vertices, but not necessarily by the inward pointing surface normal vector. The surface normal vector is often calculated based on the vertex positions.
False. The STL file is a mesh representation of the CAD model, and it does not contain all the information needed to fully reconstruct the original CAD model. It lacks information such as parametric features, assembly relationships, and design intent, making it difficult to recreate the exact original model.
The option "Increasing the heat exchange area for a heat exchanger" is NOT an advantage of using a lattice structure. Lattice structures are known for their lightweight properties, material-saving benefits, and simplified design and manufacturing processes.
However, increasing the heat exchange area for a heat exchanger is not typically associated with lattice structures. Heat exchangers usually rely on other design considerations, such as fin arrays or extended surfaces, to enhance heat transfer efficiency, rather than lattice structures.
Therefore, increasing heat exchange area is not a direct advantage of lattice structures.
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jada walks at a speed of 3mph. elena walks at a speed of 2.8 mph. if they both begin walkign along a walking trail at the same time, how much father will jada walk adter 3 hours
Answers
Given, Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph.Both Jada and Elena start walking along a walking trail at the same time.
Let us determine the distance covered by both of them.Distance travelled by Jada in 3 hours is:Distance = Speed × Time= 3 mph × 3 hours= 9 miles Distance travelled by Elena in 3 hours is:Distance = Speed × Time= 2.8 mph × 3 hours= 8.4 miles Thus, Jada will walk 0.6 miles farther than Elena after 3 hours.
To determine how far Jada will walk after 3 hours, we need to calculate the distance traveled based on her speed.
Jada walks at a speed of 3 miles per hour (mph), so we can calculate her distance using the formula:
Distance = Speed × Time
Plugging in the values, we have:
Distance = 3 mph × 3 hours
Distance = 9 miles
Therefore, Jada will walk a distance of 9 miles after 3 hours.
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The given information is as follows:
Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph. If they both begin walking along a walking trail at the same time.
Therefore, Jada will walk 9 miles after 3 hours.
The distance covered by Jada after 3 hours can be calculated as follows:
Distance = Speed x Time
Since Jada walks at a speed of 3 mph, the distance covered by her in 3 hours can be calculated as:
Distance covered by Jada = 3 mph x 3 hours
= 9 miles.
Therefore, Jada will walk 9 miles after 3 hours.
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According to an article, there were 788,325 associate degrees awarded by U.S. community colleges in a certain academic year. A total of 488,142 of these degrees were awarded to women. (Round your answers to three decimal places.) (a) If a person who received a degree in this year was selected at random, what is the probability that the selected student will be female? (b) What is the probability that the selected student will be male?
Answers
a. The probability that the selected student will be female According to the given problem, the total number of associate degrees awarded by US community colleges was 788,325 and 488,142 of these degrees were awarded to women.
Hence, the probability that a selected student will be female is: P(Female) = Number of females awarded associate degree / Total number of associate degrees awarded= 488,142 / 788,325 `= 0.619 (rounded to three decimal places) Thus, the probability that a selected student will be female is 0.619.b. The probability that the selected student will be male Since the total number of associate degrees awarded is 788,325, we can find the probability that a selected student will be male by subtracting the probability that a selected student will be female from 1 (because there are only two genders).Therefore, `P(Male) = 1 - P(Female) = 1 - 0.619 = 0.381 (rounded to three decimal places)`The main answer to part (a) is 0.619 while the main answer to part (b) is 0.381.The problem gives the total number of associate degrees awarded by US community colleges in a certain academic year. A total of 488,142 of these degrees were awarded to women. Using this information, we can find the probability that a selected student will be female (part a) and the probability that a selected student will be male (part b).
The probability that a selected student will be female is 0.619 while the probability that a selected student will be male is 0.381.
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Find the value of polynomial f(x)=2x^2-3x-2 if x = 1
Answers
Answer:
-3
Step-by-step explanation:
f(x)=2x^2 - 3x - 2
if x = 1
f(1) = 2(1)^2 - 3(1) - 2
= 4 - 3 - 2
= -3
Hope this helps :)
Pls brainliest...
-4-2/3x= -6 by adding 4 to both sides
Answers
Answer:
Yes
Step-by-step explanation:
You have to add 4 on both sides to get X by itself. Then, you solve for X by multiplying the Denominator.
How many more cups of orange juice than lemon-lime soda were in Martha's fruit punch the last time?
Answers
Answer:
There is no way to answer this question without more information about the amounts of orange juice and lemon-lime soda in Martha's fruit punch the last time.
Step-by-step explanation:
from a 24 inch b 6 inch piece of carbardm, square corners are cu our so the sides foldup to dorm a box withour a to
Answers
The dimensions of the box can be represented as (6-2x) inches by (24-2x) inches by "x" inches.
From a 24-inch by 6-inch piece of cardboard, square corners are cut so the sides can fold up to form a box without a top. To determine the dimensions and construct the box, we need to consider the shape of the cardboard and the requirements for folding and creating the box.
The initial piece of cardboard is a rectangle measuring 24 inches by 6 inches. To form the box without a top, we need to remove squares from each corner.
Let's assume the side length of the square cutouts is "x" inches. After cutting out squares from each corner, the remaining cardboard will have dimensions (24-2x) inches by (6-2x) inches.
To create a box, the remaining cardboard should fold up along the edges. The length of the box will be the width of the remaining cardboard, which is (6-2x) inches.
The width of the box will be the length of the remaining cardboard, which is (24-2x) inches. The height of the box will be the size of the square cutouts, which is "x" inches.
Therefore, the dimensions of the box can be represented as (6-2x) inches by (24-2x) inches by "x" inches. To construct the box, the remaining cardboard should be folded along the edges, and the sides should be secured together.
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Danielle sold a certain number of tickets to the school play, d. Sara sold 4 more tickets to the school play than the number Danielle sold. Brett sold 3 times as many as Danielle sold. The number of tickets that the 3 students sold altogether can be represented by the expression below. d+d+4+3d
Answers
Answer:
5d+4
Step-by-step explanation:
Number of ticket sold by Daniel = d .... 1
If Sara sold 4 more tickets to the school play than the number Danielle sold, the total number sold by Sarah is expressed as d+4 .... 2
If Brett sold 3 times as many as Danielle sold, the amount sold by Brett is 3×d = 3d ..... 3
The number of tickets that the 3 students sold altogether can be gotten by adding equation 1, 2 and 3 together as shown;
d+(d+4)+3d
Collect like terms
= d+d+3d+4
= 2d+3d+4
= 5d+4
Hence the number of tickets that the 3 students sold altogether is represented as 5d+4
Answer:
5d+4
Step-by-step explanation:
Have a good day
22 Na has a decay constant growth of (-0.266) /year. What is the Half-life time of it. (Approximate the answer to 4 decimal places) L Moving to another question will save this response.
Answers
The half-life time of 22 Na is approximately 2.6036 years. The decay constant growth of (-0.266) /year can be represented as λ = -0.266/year.
The relationship between the decay constant (λ) and the half-life time (T½) is given by the equation T½ = ln(2) / λ, where ln(2) is the natural logarithm of 2. By substituting the given value of λ into the equation, we can calculate the half-life time of 22 Na.
In this case, T½ = ln(2) / (-0.266/year) ≈ 2.6036 years. The half-life time represents the amount of time it takes for half of the initial quantity of a radioactive substance to decay. For 22 Na, it takes approximately 2.6036 years for half of the sample to undergo decay.
It's important to note that the half-life time is an average value, and individual atoms may decay at different times. However, on average, after 2.6036 years, half of the 22 Na sample would have undergone radioactive decay, resulting in the remaining half of the sample.
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I don't understand how to get the answer please help?
Answers
SR=3
Process:
SR+RQ=SQ
(2x+23)+(x+21)=14
2x+23+x+21=14
2x+x=14-23-21
3x=-30
x=-10
SR=2x+23
=2(-10)+23
=-20+23
=3
I hope this helps! Please comment if you have any questions.
Chastity ran a hypothesis test with an alpha level of .01 and her test statistic fell outside of the critical region. what should she do?
Answers
The critical region is determined based on the alpha level, which is the probability of making a Type I error (rejecting the null hypothesis when it is true). An alpha level of .01 means that there is a 1% chance of making a Type I error.
If Chastity ran a hypothesis test with an alpha level of .01 and her test statistic fell outside of the critical region, it means that the test statistic does not provide enough evidence to reject the null hypothesis.
In this case, Chastity should fail to reject the null hypothesis and accept it as the plausible explanation. This implies that there is not enough evidence to support the alternative hypothesis.
When a test statistic falls outside of the critical region, it indicates that the observed data is not extreme enough to reject the null hypothesis. The critical region is determined based on the alpha level, which is the probability of making a Type I error (rejecting the null hypothesis when it is true). An alpha level of .01 means that there is a 1% chance of making a Type I error.
In summary, when Chastity's test statistic falls outside of the critical region, she should fail to reject the null hypothesis and accept it as the plausible explanation. This means that there is not enough evidence to support the alternative hypothesis at the given alpha level of .01.
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16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain. (2 points)
Answers
Answer:
Yes, because when the side lengths of a triangle are in the ratio 3: 4: 5, then it is a right triangle. These sides are 6: 8: 10, then the triangle is a right one.
Step-by-step explanation:
for a sequence(chapter3) of numbers, suppose that you attach 1, then 2, then 3, and so on up to n. what is the big-o time analysis for the combined time of attaching all n numbers?
Answers
The big-o time analysis for the combined time of attaching all n numbers i O(n).
The big-O running time gives the relationship between the steps taken for the algorithm and its running time. it is denoted by O(.), where . refers to the some f(n). f(n) is determined by the way of the algorithm in each step.
Here, we attach 1, then 2,then 3 and so on up to n to make a sequence of numbers. So at a time, only 1 number is attached and therefore one step of the algorithm is working. So we can say that the big-O time analysis for the combined time of attaching all n numbers is O(n).
This means that at n = 1, only 1 step is taken by the algorithm .At n=2, two steps and continued like this up to n steps.
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if your employer matches your retirement contributions on a dollar-for-dollar basis up to $4,000, how much will be contributed to your account by the end of the year if you take advantage of the entire match?
Answers
Hence, if yοu utilise the entire match, yοur accοunt will be credited with $8,000 befοre the end οf the year. Thus, option A is correct.
What is unitary methοd?Fοr the purpοse οf resοlving prοpοrtiοnality issues, mathematicians emplοy the unitary methοd. It is predicated οn the nοtiοn that if we are aware οf the relatiοnship between twο quantities fοr οne unit οf measurement, we may utilise that relatiοnship tο determine the relatiοnship between the same twο values fοr any οther unit οf measurement.
When we need tο determine the value οf οne quantity based οn the value οf anοther quantity and the twο quantities are related tο οne anοther prοpοrtiοnally, we frequently emplοy the unitary technique in practical circumstances. The unitary technique can be used, fοr instance, tο determine the price οf five apples if we knοw that three apples cοst $2.
given,
If yοur emplοyer matches yοur retirement cοntributiοns dοllar fοr dοllar up tο a maximum οf $4,000, this implies that fοr every dοllar yοu put in, yοur emplοyer will put in an additiοnal dοllar, up tο a tοtal οf $4,000 in matching funds.
Yοur emplοyer will cοntribute an additiοnal $4,000 if yοu cοntribute the whοle $4,000, fοr a tοtal οf $8,000 in cοntributiοns tο yοur accοunt by the end οf the year.
Hence, if yοu utilise the entire match, yοur accοunt will be credited with $8,000 befοre the end οf the year.
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If your employer matches your retirement contributions on a dollar-for-dollar basis up to $4,000, how much will be contributed to your account by the end of the year if you take advantage of the entire match?
a. $8,000
b. $8,800
c. $8,100
d. $9,800
About 1/10 of the bones in your body are in your skull. Your hands have about 1/4 of the bones in your body . Write and solve an equation to find the fraction of the bones in your body that are in your hands or skull.
Answers
Answer:
Step-by-step explanation:
so to get the answer, we just add the number of bones in your hands and bones in your skull1/4 (bones in hands) + 1/10 (bones in skull)we can only add fractions that have the same denominator (bottom number in a fraction) so we change the numbers to have a common denominator:5/20 + 2/20 = 7/20so 7/20 of your bones are in your hands or skull
PLEASE HELP ME I NEED HELP RIGHT AWAY!!!
A box contains fiction and nonfiction books. There are 22 fiction books in the box, which is 55% of the total number of books in the box. What is the total number of books in the box?
thank you for helping
Answers
Answer:
There are 40 books total
Step-by-step explanation:
you need to set a proportion
The first fraction is 55/100 it's over 100 because it's percent
the other fraction is 22/x the 22 is out of a total number so that's why it's on top and x because you don't know the total number of books
then you multiply diagonally
55×x= 22×100
55x=2,200
Then you solve it like a regular equation by dividing both sides by 55
x=40
Answer:
There are a total of 40 books in the box.
ly| ≤3
Are the lines on graph at 3 and -3 also part of the answer?
Answers
Answer:
Yes, the lines on the graph at 3 and -3 a part of the solution,
Step-by-step explanation:
The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.
Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.
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under what circumstances is the point-biserial correlation used?
Answers
Answer: when one of the variables is dichotomous; when you need to measure the relationship between a continuous variable and a dichotomous variable.
Step-by-step explanation:
A cylindrical tin filled with oil has a diameter of 12cm and a height of 14cm. The oil is then poured in rectangular tin 16cm long and 11cm wide. What is the depth of the oil in the tin
Answers
The volume of cylindrical tin is 1584 \(cm^3\). The depth of the oil in the tin is 9cm.
\(V_1 =\) VOLUME OF CYLINDRICAL TIN
\(= \pi r^2 h\)
\(=\frac{22}{7}\) x 6 x 6 x 14
= 44 x 36
= 1584 \(cm^3\)
\(V_2 =\) VOLUME OF RECTANGULAR TIN
= lbh = 1584
= (16)(11)(h) = 1584
= 176h =1584
= h = 1584 / 176
= h = 9 cm
A cylinder is a three-dimensional shape that consists of a circular base and a curved surface that extends upward to meet at a point known as the apex. The volume of a cylinder is the amount of space occupied by the shape and is given by the formula V = πr²h, Once we have calculated the area of the circular base, we can multiply it by the height of the cylinder to get the volume.
To calculate the volume of a cylinder, we need to know its dimensions, which are the radius and height. The radius is the distance from the center of the circular base to the edge, while the height is the distance between the two circular bases.
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julian rolled a normal 6-sided die 12 times. his rolls were as follows: 2, 4, 3, 3, 5, 1, 2, 6, 3, 1, 3, 5, 4. what is the probability that he will roll a 3 on the next roll?
Answers
The probability that Julian will roll a 3 on the next roll is approximately 16.67%. The probability of rolling a 3 on a normal 6-sided die is independent of the previous rolls. This means that regardless of the outcomes of Julian's previous rolls, the probability remains the same.
Explanation
On a 6-sided die, there is 1 favorable outcome for rolling a 3 (the number 3 itself) out of 6 possible outcomes (1, 2, 3, 4, 5, and 6).
To find the probability, you can use the formula:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
In this case:
Probability of rolling a 3 = 1 (favorable outcome) / 6 (total outcomes)
Probability of rolling a 3 = 1/6 ≈ 0.1667 or 16.67%
So, the probability that Julian will roll a 3 on the next roll is approximately 16.67%.
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I got the first part but i dont onow how to get the other ones
Answers
The value of x for this problem is given as follows:
x = 5.
Hence the angle measures are given as follows:
m < CAB = 32º.m < FDE = 32º.How to obtain the value of x?
We have that angles A and D are congruent for this problem, meaning that they have the same measure.
Hence the value of x is obtained as follows:
7x - 3 = 5x + 7
2x = 10
x = 5.
Hence the angle measures are given as follows:
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3n + 75 = 50 + 2n what does the n equalin the equation
Answers
Answer:
n= -25
Step-by-step explanation:
Answer:
-25
Step-by-step explanation:
Move 2n to the other side to subtract it 3n-2n=n and move 75 to the other side to balance the equation 50-75=-25 so n=-25
Kehlani has p pennies and n nickels. She has at least 20 coins altogether. Write this situation as an inequality.
Answers
To write the situation as an inequality, we need to express that Kehlani has at least 20 coins.
The total number of coins Kehlani has is p + n. So, the inequality can be written as:
p + n ≥ 20
This means that the sum of the number of pennies and nickels Kehlani has must be greater than or equal to 20 for the situation to be true.
Emelia earns $8.00 per hour plus a gas allowance of $3.50 per day at her job. How much does Emilia's job pay in a day when she works 5 hours? Write an expression and evaluation for 5 hours.
Answers
Answer: Required expression = 8h +3.50
Emilia's job pay $ 43.5 in a day when she works 5 hours.
Step-by-step explanation:
Given: Hourly earning = $8.00
gas allowance per day = $3.50
Pay per day = (Hourly earning ) x (Number of hours ) + (gas allowance per day)
Let h = number of hours
Pay per day = 8h +3.50
If Emily worked for 5 hours, then put h= 5, we get
Pay per day = 8(5) +3.50
= $ 40 +3.50
= $ 43.5
Required expression = 8h +3.50
Emilia's job pay $ 43.5 in a day when she works 5 hours.
Study Guide:
Assuming its assumptions are met, what does the Intermediate Value Theorem conclude?
Answers
The Intermediate Value Theorem concludes that for a continuous function on a closed interval, if there are two points in the interval such that the function takes on two different values, then there must be at least one point in the interval where the function takes on every value between those two values.
Assuming its assumptions are met, the Intermediate Value Theorem (IVT) concludes that:
If a continuous function, f(x), is defined on a closed interval [a, b], and k is any value between f(a) and f(b), then there exists at least one value c in the interval (a, b) such that f(c) = k.
In other words, if a function is continuous on a closed interval and k is a value between the function's values at the endpoints of the interval, the function must take on the value k at least once within that interval. This theorem is particularly useful in determining the existence of roots or zeroes for a function in a specified interval.
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Find the distance between A (4. - 1) and B (-3,0)
Answers
Answer:
hope this is correct
