Answers
The average rate of change of the function over the interval (-1, 2) is 3.
What is Average Rate of Change of a Function?Average rate of change of a function is defined as the rate at which the value of the function is changing with respect to the change in the input values.
Difference quotient of a function over an interval is also the same concept as the average rate of change of a function.
Average rate of change of a function f(x) over an interval (a, b) is [tex]\frac{f(b) - f(a)}{b-a}[/tex].
Given interval is (-1, 2).
From the graph, f(-1) = -4 and f(2) = 5
Average rate = [tex]\frac{f(2) - f(-1)}{2--1}[/tex] = (5 - -4) / (3) = 9/3 = 3
Hence the given function has an average rate of change over the interval (-1, 2) at 3.
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Related Questions
Find the equation of any line parallel to the line 2x-3y=6
Answers
Answer:
The equation of the line that passes through (-2, 3) and is parallel to 2x + 3y = 6 is 2x + 3y - 5 = 0.
Step-by-step explanation:
The temperature in a certain location was recorded each day for two months. The mean temperature was 28.8°F with a standard deviation 7.4°F. What can you determine about these data by using Chebyshev's Inequality with =K3?
Answers
Using Chebyshev's Theorem, it is found that at least 89% of days have a high temperature between 6.6ºF and 51ºF.
What does Chebyshev’s Theorem state?When the distribution is not normal, Chebyshev's Theorem is used. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.At least 89% of the measures are within 3 standard deviations of the mean.An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100\left(1 - \frac{1}{k^{2}}\right)[/tex].Considering k = 3, the percentage is of at least 89% and the bounds are given as follows:
28.8 - 3 x 7.4 = 6.6ºF.28.8 + 3 x 7.4 = 51ºF.More can be learned about Chebyshev's Theorem at https://brainly.com/question/2927197
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Costs of Starting Your Own Business
SHORT ANSWER
You are looking at a potential location to open your first spa. The rent is $21 per square
(annually), and the space is 1,800 square feet. How much rent would you pay each year? Each
foot
month?
Answers
The amount of money that would be paid for rent each year for the spa would be = $37,800
How to calculate the annual payment for the rent for spa?The area of the potential space for the opening of your first spa = 1,800 square feet.
The price for each square feet per year = $21
That is; = 1800× 21 = $37,800
Therefore, annual rent fees for the space which will be used for spa = $37,800.
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On a road trip to central Florida, you average 35 miles per hour while driving within city
borders and 60 miles per hour while driving on the highway (not in the city.) The trip was 995 miles long. You were in city borders for 4 hours longer than on the highway. Let C be the time, in hours, you spent driving in the city. Let H be the time, in hours, you spent driving on the highway. Find the sum C + H
Answers
The equation Distance = Speed × Time can be used to calculate the time spent in both city and highway. The sum of C + H = 28.43 hours + 16.58 hours = 45.01 hours.
What is distance?Distance is a numerical measurement of the distance between two objects in physical space. It is commonly measured in meters, kilometers, or miles. Angles, such as degrees of longitude and latitude, can also be used to calculate distance.
Distance may be estimated mathematically using methods such as the Pythagorean theorem. When studying the movement of things, such as in physics and engineering, and estimating the speed of objects in motion, distance is a significant component.
Since you know the total distance traveled and the average speed of the vehicle in both city and highway, you can use the equation
Distance = Speed × Time
to solve for the time spent in both city and highway.
For time spent in city:
35 mph × C = 995 miles
C = 995 miles/35 mph = 28.43 hours
For time spent in highway:
60 mph × H = 995 miles
H = 995 miles/60 mph = 16.58 hours
Therefore, the sum of C + H = 28.43 hours + 16.58 hours = 45.01 hours.
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Ten thousand marbles were produced on a production line. The first 100 marbles off the line were taken and tested for roundness. Does this sampling result in a simple random sample? Yes, because each group of n items has an equal chance of being selected. No, because each group of n items does not have an equal chance of being selected. Yes, because each item has an equal chance of being selected. No, because each item does not have an equal chance of being selected.
Answers
No, because each item does not have an equal chance of being selected. That is option D.
What is a simple random sample?A simple random sample is defined as the type of random sampling where by a particular amount of data (subset) is being selected from the total population of data that is under study.
The simple random sampling method which is used by researchers has the following disadvantages such as:
It relies on the quality of the researchers performing the work.It can require a sample size that is too large.It must have a significant population or demographic at the beginning of the process.It does not provide a guarantee that the data conclusions will be accurate because not all the data have equal chance to be selected.Learn more about random sampling here:
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A researcher establishes that a patient reaction time R in minutes to a dose of particular drug is R(d)=d3+3d2-8where d is the amount of drug in milliliters that absorbed in the patients blood. find the patients reaction time when d=3
Answers
On solving the provided question, we can say that quadratic equation is 46.
What is quadratic equation?A quadratic equation is x ax² +bx +c = 0, which is a quadratic polynοmial in a single variable. a 0. The Fundamental Theοrem of Algebra ensures that it has at least οne solution since this polynomial is of second οrder. Solutions may be simple or cοmplicated.
An equation that is quadratic is a quadratic equatiοn. This indicates that it has at least οne word that has to be squared. The fοrmula "ax² + bx + c = 0" is one of the often used solutions for quadratic equatiοns. where are numerical cοefficients or constants a, b, and c. where the variable "X" is unidentified.
Quadratic equatiοn is
R(d) = d³ +3d² -8
R(3) = (3)³ +3(3)² - 8
R(3) = 27 + 27 - 8
R(3) = 46
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BIL
K-7 ft-X-8 ft-
K
-20 ft-
✈
Answers
The simplified expression of K-7 ft-X-8 ft-K-20 ft is -35ft-X
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is K-7 ft-X-8 ft-K-20 ft
We need to simplify the given expression.
Add the like terms
-7 ft-X-8 ft-20 ft
-27ft-X-8 ft
-35ft-X
Hence, -35ft-X is the simplified expression of K-7 ft-X-8 ft-K-20 ft
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solve for x, 11, 31°
Answers
The value of x is 21.4.
What is right-angle triangle?
A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.
The height of the right-angle triangle is 11. The hypotenuse of the right-angle triangle is x. The measure of the angle opposite to height is 31°.
The sine of an angle is the ratio of height to the hypotenuse.
Therefore,
sin 31° = height/hypotenuse
sin 31° = 11/x
Multiply x with both sides:
x sin 31° = 11
Divide sin 31° with both sides:
x = 11/ sin 31°
x = 21.35
x ≈ 21.4 units
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-17
ng
2
Zoom
Chapter 3: Probability (Add and Mult)
Score: 22.75/38 26/38 answered
Question 29
>
A bag contains 7 red marbles, 5 white marbles, and 6 blue marbles. You draw 3 marbles out at random,
without replacement. Find the following probabilities and round to 4 decimal places.
a. The probability that all the marbles are red is
b. The probability that none of the marbles are red is
Answers
a. The probability that all the marbles are red is calculated as follows:
(7 choose 3) / (18 choose 3) = (35 / (816)) = 0.0429
So, the probability that all the marbles are red is 0.0429, rounded to 4 decimal places.
b. The probability that none of the marbles are red is calculated as follows:
(12 choose 3) / (18 choose 3) = (220 / 816) = 0.2696
So, the probability that none of the marbles are red is 0.2696, rounded to 4 decimal places.
Jonathan drove his motorcycle on the highway at 160 miles per hour. His speed increased every three seconds as the roads got wider. What is the rate of change?
Answers
We can presume that x is a positive number because we are aware of the widening of the roadways and the increase in Jonathan's speed. It takes three seconds for Jonathan's speed to change by 234.67 + 2x feet per second.
In plain English, what is speed?the definition of speed. a direction or speed at which an object's location changes. The distance travelled relative to the time it took to travel that distance is how fast something is moving.
What does science mean when it refers to speed?In contrast to velocity, which describes the speed and direction of an object's movement, speed is the rate of movement along a path. Alternatively, velocity is a vector while speed is a scalar quantity.
Let's first convert Jonathan's initial speed of 160 miles per hour to feet per second, since we're measuring the change in speed every three seconds.
160 miles per hour = 160 * 5280 feet per hour = 844800 ft/h
= 844800/3600 ft/s (since there are 3600 seconds in an hour)
= 234.67 ft/s (rounded to two decimal places)
Now, let's assume that Jonathan's speed increases by x feet per second every three seconds. After three seconds, his new speed will be 234.67 + x feet per second. After another three seconds, his speed will be 234.67 + 2x feet per second, and so on.
Since we know that the roads are getting wider and Jonathan's speed is increasing, we can assume that x is a positive number.
Therefore, the rate of change of Jonathan's speed is 234.67 + 2x feet per second every three seconds.
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In country A, there were 131,000 foreign students from country B. This number is 23% more than the number from country C. How many foreign students were from country C
Answers
There were a total of 95,082 students from country C.
What is percentage?A percentage in mathematics is a figure or ratiο that is stated as a fractiοn of 100. The abbreviatiοns "pct.," "pct," and "pc" are alsο occasionally used. It is frequently denοted using the percent symbol "%," though. The amοunt of percentages has no dimensions. With a denominatοr of 100, percentages are basically fractiοns.
To shοw that a number is a percentage, place a percent symbol (%) next to it. Fοr instance, if you correctly answer 75 out of 100 questiοns on a test (75/100), you receive a 75%. Tο compute percentages, divide the amount by the tοtal and multiply the result by 100. The percentage is calculated using the fοrmula (value/total) x 100%.
x represents the number οf students from cοuntry C.
then 122percent of x = 116,000
122/100 * x = 116000
x = 116000 * 100/122 = 95,082 students
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Question 2 Part A:
An industrial copy machine has the ability to edit image dimensions by reducing it by a certain percentage
each time it copies. A design began with a length of 24 inches, represented by the point (0,24). After going
through the copy machine once, the length is 18, represented by the point (1,18).
Double click and enter the correct answer in the box by replacing the values of a and b.
f(x) = a(b)*
Answers
In the function, f(x) = a(b)ˣ the value of a and b is
a = 24b = 0.75How to find the value of a and bThe function defined by f(x) = a(b)ˣ is a exponential function
Where
a is the starting function
b is the base function
The starting function from (0,24)
24 = a(b)ˣ
a = 24
using (1, 18), we solve for the base
18 = 24(b)
b = 0.75
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Solve the formula A=1/2h (a+b) for b 
Answers
A = 1/2 h(a+b)
multiply by 2
2A = h(a+b)
divide by h
2A/h = a + b
subtract a
(2A/h) - a = b
which can be rewritten the other way around for
b = (2A/h) - a
Suppose you pay $1.00 to roll a fair die with the understanding that you will get back $
3.00 for rolling a 1 or a 3, nothing otherwise. What is your expected net winnings?
for
lingun?
Answers
Answer:
21.7% to win $3, thats ~1/5
Step-by-step explanation:
100/6 = 10.(6) % to roll for each number (let it be just ~10.7)
for rolling a 3 or a 1 u will get $3
10.7 + 10.7 = 21.7% to win $3, thats 1/5
One snowy day 3/4 Ms staples class was late to school 1/3 of the late students brought notes what fraction of Mrs. Stanford class bra late notes that day
Answers
The fraction of Mrs. Stanford's class that came late and brought notes that day was 1 / 4
How to find the fraction of students ?To find the fraction of Mrs. Stanford's class that came late and brought notes that day, the relevant formula would be:
= Fraction of students who came late x Fraction of late students who brought notes
Fraction of students who came late = 3 / 4
Fraction of students who were late and brought notes = 1 / 3
The fraction of total students who were late and brought notes were ;
= 3 / 4 x 1 / 3
= 3 / 12
= 1 / 4
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hilary was examining the differences between perfect squares of numbers separated by 5. She made the following conjecture the differences always have the digit 5 in the ones place. for example: 17^2 - 12^2 = 289 -144 = 145
State another example that supports hilary's cpnjecture?
Answers
The another example that supports Hilary's conjecture are, 26² - 21²
What is subtraction?In mathematics, subtraction is an operation which means taking away a few portions of the group or few things from a whole part.
For example, if we take 4 pencils out of 10 then remaining pencils are 6
so this process is called subtraction.
Given that,
Hilary was examining the differences between perfect squares of numbers separated by 5.
The differences always have the digit 5 in the ones place.
Another example that supports Hilary's conjecture is:
= 26² - 21²
= 676 - 441
= 235
As we can see, the difference between the perfect squares of 26 and 21 is 235,
which ends in the digit 5 in the ones place, confirming Hilary's conjecture that the differences between perfect squares of numbers separated by 5 always have the digit 5 in the ones place.
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a ferris wheel at a carnival has a diameter of 62 feet. suppose a passenger is traveling 6 miles per hour. Find the angular speed in radians per minute. Find the number of revolutions the wheel makes per hour.
Answers
On solving the provided question, we can say that relation between tangential speed and angular speed, v = r * w; v: tangential speed; r: radius; w: angular speed
what is radius?The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle.
relation between tangential speed and angular speed
v = r * w
v: tangential speed
r: radius
w: angular speed
the radius is
r = d/2
d is the diameter
[tex]v = (d * w)/2\\w = 2*v/d\\w = (2*9 mile/h)/(58 feet)\\w = (2*9 mile/h)/(0.011 miles) = 1636 rad/h\\w = 1636/60 = 27.2 rad/min\\[/tex]
the angular speed is in radians,
[tex]n = v/(π*d)[/tex]
n = (9 mile/h)/(π*0.011 mile) = 260 rev/h
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CIRCLES DRAG & DROP ACTIVITY 1: Drag & Drop the correct values to fill in each table below.
HELP ASAP WILL GIVE BRAINLIST!!!!!!!!!!
Answers
The radius, diameter, area and circumference of circle 1, 2, 3 and 4 are; (2, 4, 4π, 4π), (4, 8, 16π, 8π), (1, 2, 1π, 2π) and ( 8, 16, 64π, 16π) respectively.
What are the radius, diameter, area and circumference of each of the given circle?The diameter of a circle is 2 times the radius of the circle.
The area of a circle is expressed as: A = πr²
The circumference of a circle is expressed as: 2πr
For question 1)
Radius r = 2
Diameter = 2 × radius = 2 × 2 = 4
Area = πr² = π( 2 )² = 4π
Circumference = 2πr = 2 × π × 2 = 4π
For question 2)
Radius r = 4
Diameter = 2 × radius = 2 × 4 = 8
Area = πr² = π( 4 )² = 16π
Circumference = 2πr = 2 × π × 4 = 8π
For question 3)
Diameter d = 2
Radius = diameter / 2 = 2/2 = 1
Area = πr² = π( 1 )² = 1π
Circumference = 2πr = 2 × π × 1 = 2π
For question 4)
Diameter d = 16
Radius = diameter / 2 = 16/2 = 8
Area = πr² = π( 8 )² = 64π
Circumference = 2πr = 2 × π × 8 = 16π
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Suppose you deposit $1,000 into a
savings account that earns simple
interest. After 4 years, the savings
account balance is $1,200. Determine
the annual interest rate.
100
1000
Answers
The annual interest rate on the saving account is 5%.
What does an annual interest rate refers to?Also known as annual percentage rate (APR) is the interest generated by a sum charged to borrowers or paid to investors each year. Its represents the actual yearly cost of funds over the life of a loan or the income earned on an investment.
To determine our annual interest rate, we can use the formula for simple interest: I = Prt. We need to find "r" which is our interest rate.
Now, we know the interest earned (I = $200) and the principal (P = $1,000), we can substitute those values into the formula:
$200 = $1,000 * r * 4
r = $200 / ($1,000 * 4)
r = 0.05. Therefore, the annual interest rate is 0.05 or 5%.
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Use this table to answer the question. Round to the nearest percent.
Car Plane Train Total
Green 120 250 500 870
Blue 150 350 750 1250
Yellow 170 200 450 820
Red 200 300 300 800
Brown 220 450 320 990
Total 860 1550 2320 4730
What percent of the total is made up of Planes?
Answers
There are 33% of the total is made up of Planes.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
The table is given in the question, as follows:
Car Plane Train Total
Green: 120 250 500 870
Blue: 150 350 750 1250
Yellow: 170 200 450 820
Red: 200 300 300 800
Brown: 220 450 320 990
Total: 860 1550 2320 4730
Total number of planes = 1550
The total number of all vehicles = 4730
The percent of planes = (number of planes/number of all vehicles) x 100
The percent of planes = (1550/4730) x 100
The percent of planes = 0.3276 x 100
The percent of planes = 32.76
Round to the nearest percent, and we get
The percent of planes = 33%
Thus, 33% of the total is made up of Planes.
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What is the volume 
Answers
The volume of the composite figure is 12 cubic in.
How to calculate the Volume of Composite Shapes?
Composite shapes have a volume that is made up of basic shapes. We can calculate the volume of the composite shapes using the steps listed below:
Step 1: Break down the compound shape into different components.
Step 2: Determine the volume of each basic shape.
Step 3: Combine the volumes of all the basic shapes.
Step 4: Write the solution in cubic units.
Firstly we can divide the figure into two rectangular prisms A and B. Then add these two to total volume the volumes of each prism.
The volume of prism A = length × width × height
V = 4 * 2 * 1
V = 8 cubic in.
The volume of prism B = length × width × height
V = 1 * 2 * 2
V = 4 cubic in.
Total volume = volume of prism A + volume of prism B
= 8 cubic in + 4 cubic in
= 12 cubic in
Hence, the volume of the composite figure is 12 cubic in.
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PLEASE HELP (image attached)
Find the perimeter of the figure
Answers
Add up all the sides:
-x^2+2x+3x-4+2x^2+5
x^2+5x+1
In the diagram, RSTU~ ABCD. Find the ratio of their perimeters.
U
R
18 S
36
T
D
A
24
The ratio of their perimeters is
B
C
Answers
Answer: Let's call the ratio of the perimeters of the two similar figures "k". That means that for every unit of length in RSTU, there are k units of length in ABCD.
Since UR = 18 and DA = 24, k = 24/18 = 4/3.
So for every length in RSTU, there are 4/3 times that length in ABCD. We can use this ratio to find the corresponding lengths in ABCD. For example, SR = 36, so BS = 36 * (4/3) = 48.
Now that we have the lengths of all sides of ABCD, we can find its perimeter:
Perimeter of ABCD = 24 + 48 + BC + 24 = 120 + BC
Perimeter of RSTU = 18 + 36 + 18 + 36 = 108
So the ratio of their perimeters is:
Perimeter of ABCD / Perimeter of RSTU = (120 + BC) / 108 = (120 / 108) + (BC / 108) = 20/18 + BC/108
Since the perimeters of the two figures are similar, the ratio of their perimeters is equal to the ratio of their corresponding side lengths:
20/18 + BC/108 = 4/3
Solving for BC:
BC = (4/3 - 20/18) * 108 = 36
Step-by-step explanation:
Find the distance the point P(3, 1, 7), is to the plane through the three points
Q(5, 0, 3), R(0, -1, 7), and S(7, 5, 0).
Answers
The distance between the point P and the plane through the points Q, R, and S is 60/23.
How did we get the value?The distance of a point P(x1, y1, z1) from a plane that passes through the points Q(x2, y2, z2), R(x3, y3, z3), and S(x4, y4, z4) can be found using the following formula:
d = |(A * x1 + B * y1 + C * z1 + D) / sqrt(A^2 + B^2 + C^2)|
Where A, B, and C are the coefficients of the plane's normal vector and D is the constant term in the equation of the plane. The normal vector can be found by taking the cross product of the vectors Q-R and Q-S:
n = (Q-R) x (Q-S)
The coefficients of the normal vector can be found using the following equations:
A = n1
B = n2
C = n3
D = -(A * x2 + B * y2 + C * z2)
Substituting the values of Q, R, and S, we have:
Q-R = (5-0, 0-(-1), 3-7) = (5, 1, -4)
Q-S = (7-5, 5-0, 0-3) = (2, 5, -3)
The cross product of Q-R and Q-S is:
n = (1 * -3 - 5 * -4, -3 * 5 - 2 * -4, -2 * 1 - 5 * 5) = (-23, 29, 17)
So,
A = -23
B = 29
C = 17
D = -(A * x2 + B * y2 + C * z2) = -(-23 * 5 + 29 * 0 + 17 * 3) = -109
Finally, substituting the values of x1, y1, and z1:
d = |(A * x1 + B * y1 + C * z1 + D) / √(A^2 + B^2 + C^2)|
= |(-23 * 3 + 29 * 1 + 17 * 7 + -109) / √(-23^2 + 29^2 + 17^2)|
= |(-69 + 29 + 119 -109) / √(-23^2 + 29^2 + 17^2)|
= |60 / √(-23^2 + 29^2 + 17^2)|
= |60 / √(529)|
= 60 / 23
So the distance between the point P and the plane through the points Q, R, and S is 60/23.
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Construction each spatial figures
Blue pyramid
Black cown
Yellow cube
Green rectangular prism
Red silendar
Violet sphere
Answers
A pyramid is a three-dimensional geometric shape that has a polygonal base and triangular faces that meet at a common point. The height of a pyramid is the perpendicular distance from the base to the apex.
How to explain the shapesA cube is a three-dimensional shape that has six square faces of equal size. All angles of a cube are right angles, and all edges have the same length. The volume of a cube is given by the formula V = s³ where s is the length of one edge.
A rectangular prism is a three-dimensional shape that has six rectangular faces. The opposite faces are congruent and parallel, and all angles are right angles. The volume of a rectangular prism is given by the formula V = lwh, where l, w, and h are the lengths of the three perpendicular edges.
A sphere is a three-dimensional shape that is perfectly round and has no edges or corners. It is defined as the set of all points in three-dimensional space that are equidistant from a given point called the center. The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.
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What is a inequality on a number line
Answers
Answer:
add wtwo numbers x by 3? I am sorry don't understand question
Step-by-step explanation:
Jade and Juliette are riding their bikes across the country to promote autism awareness. They rode their bikes 45.4 miles on the first day and 56.3 miles on the second day. From now on, Jade and Juliette plan to ride their bikes 62 miles per day. If the entire trip is 2,878 miles, how many more days do they need to ride?
Write a short script that could be used to make a video about this cross-country bike trip. Provide a short character description, dialogue (conversation between characters), and directions for the actors, but keep the script simple
Answers
Jade and Juliette 44.7days more days to complete their trip.
How to calculate the number of days to complete the tripTo calculate how many more days Jade and Juliette need to ride, we can use the equation:
Total distance = Distance on first day + Distance on second day + Distance on remaining days
We know the first and second day distances, and the daily distance for the remaining days, so we can substitute those values in the equation:
2878 = 45.4 + 56.3 + 62x
where x is the number of remaining days they need to ride.
Simplifying the equation:
2878 - 101.7 = 62x
2776.3 = 62x
Dividing both sides of the equation by 62
x = 44.7
hence, Jade and Juliette need to ride for 44.7 more days to complete their trip.
what is the least common denominator for 5/8, 7/20, and 7/13
Answers
Step by step
Perform Prime factorization for each denominator
8 = 2 x 2 x 2
20 = 5 x 2 x 2
13 = 13
List the primes in multiples for the times shown in the factorization
2 x 2 x 2 x 5 x 13 = 520
Check your work
520 / 8 = 65
520 / 20 = 26
520 / 13 = 40
Problem solved
Refrigerator a uses 500 watts per hour when the motor is operating. The motor needs to run an average of 12 hours per day, every day, to stay at a constant, cold temperature. This model of refrigerator lasts an average of 20 years before it needs to be replaced and costs $1,000. Each kwh of electricity costs $0. 12.
Answers
To determine the total energy consumption of refrigerator A in a day, we need to first convert the power usage from watts to kilowatts.
500 watts/hour * 1 kilowatt/1000 watts = 0.5 kilowatts/hour
Next, we can calculate the energy consumption in kilowatt-hours (kWh) per day:
0.5 kilowatts/hour * 12 hours/day = 6 kilowatt-hours/day
To find the daily cost of running the refrigerator, we can multiply the energy consumption by the cost per kWh:
6 kWh/day * $0.12/kWh = $0.72/day
To calculate the yearly cost of running the refrigerator, we can multiply the daily cost by 365 days:
$0.72/day * 365 days = $262.80/year
To calculate the total cost of running the refrigerator for 20 years, we can multiply the yearly cost by 20:
$262.80/year * 20 years = $5,256.00
In addition to the cost of running the refrigerator, there is also the cost of purchasing the unit itself. In this case, the cost is $1,000.
Therefore, the total cost of owning and operating Refrigerator A for 20 years is:
$5,256.00 (operating cost) + $1,000.00 (purchase cost) = $6,256.00
It's worth noting that this calculation assumes that the cost of electricity remains constant over the 20-year lifespan of the refrigerator. In reality, the cost of electricity may increase over time, which would increase the overall cost of running the refrigerator.
To know more about energy: https://brainly.com/question/2409175
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There are 7 1/5 groups of 2/5 in 3 do you agree with this statement show reasoning
Answers
The statement made by Diego is correct.
In order to determine the number of groups of 5/6 that are in 1, 1 would be divided by 5/6.
1 ÷ 5/6
= 1 x 6/5 = 6/5
6/5 is called an improper fraction because the numerator is greater than the denominator.
6/5 can also be rewritten as a mixed fraction. If it is rewritten as a mixed fraction, it becomes 1 1/5.
Learn more about mixed fractions at:
brainly.com/question/29264210
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Given question is incomplete , the complete question is given below:
Diego said that the awnser to the question "How many groups of 5/6 are in 1?" Is 6/5 or 1 1/5.Do you agree with his statement? Explain or show your reasoning.
