The residual value is 0.6.
What is Residual?The estimated value of a fixed asset at the conclusion of its useful life or lease term is known as the residual value, also known as salvage value. In lease agreements, one of the lessor's main methods for figuring out how much the lessee must pay in periodic lease payments is the residual value.
Given:
y = 1.416x − 0.76
For (7, 8):
As, residual value = Measured value - Predicted value
or, residual value = (actual y-coordinate of the point) - (value of y from the
equation)
When x = 10:
So, the value of y from the equation,
[tex]y_1[/tex] = 1.416 x 10 - 0.76
[tex]y_1[/tex]= 14.16 - 0.76
[tex]y_1[/tex]= 13.4
and, actual y-coordinate of the point, [tex]y_2[/tex]= 14
Residual value = 14 - 13.4
Residual value = 14 - 13.4
Residual value = 0.6
Hence, the residual value is 0.6
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Answer:
0.6
Step-by-step explanation:
im taking the test rn
Which statement is true about 67?
A. its a prime number
B. its a composite number
C. its neither prime or composite
Answer:
a. its a prime number cuz as far as ik 67 has one factor 67x1
Answer:
Number 67 is prime because it doesn't have proper factors. In other words, the only factors of 67 are 1 and itself
the ratio of 15 and square of m? This question is on Get More Math
The ratio of 15 and square of m is 15/m².
What is a ratio?A ratio simply refers to a mathematical expression that is typically used for denoting the proportion of two (2) or more quantities with respect to one another and the total quantities. This ultimately implies that, a ratio can be expressed as a quotient.
What is quotient?In Mathematics, quotient can be defined as a mathematical expression that is simply used to represent the division of a numerical value by another numerical value or variable.
In this scenario, the numerical value 15 would be the numerator while the variable m would be the denominator, and it should be expressed as follows:
Ratio = 15/m²
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the population of a town increased from 3450 in 2006 to 5700 in 2012. find the absolute and relative (percent) increase. absolute increase: relative increase:
Answer:
The absolute difference is 1050
The relative percentage is 32.3076%
Step-by-step explanation:
We are given
The population of a town increased from 3,250 in 2008 to 4,300 in 2010
In 2008:
In 2010:
Absolute difference:
we know that
absolute difference =
absolute difference =
absolute difference is 1050
Relative increase:
we know that
Relative percentage is
now, we can plug values
=32.3076
So, the relative percentage is 32.3076%
what is the smallest odd number you can make with 3 4 6 and 8
Answer: You cannot.
Step-by-step explanation:
3 can be multiplied into an odd number
4 cannot be multiplied into an odd number
6 cannot be multiplied into an odd number
8 cannot be multiplied into an odd number
Overall, you will not be able to get an odd number with the numbers provided.
Answer: 4683
Step-by-step explanation:
To have an odd number, and since the only odd number you have in your list is 3, that would be in the one's place. Then, you have to put the smallest number (except for 3) in the front. Now, you have two more places to fill in (4 _ _ 3). Like the 4, put the 6 after the 4 to have the smallest possible hundreds place. Now place the eight. Your final number should be... 4683.
3y - x - (4x - 5y)/10 - 7y+2x/4
Divide [tex]4\frac{2}{15}[/tex] by 3.1.
[tex]\fbox{1.333333}[/tex]
[tex]4\frac{2}{15} \div3.1[/tex]
Simplify:
[tex]4\frac{2}{15} \div3.1[/tex]
[tex]=1.333333[/tex]
let's firstly convert the mixed fraction to improper fraction and the decimal one to a fraction.
[tex]\stackrel{mixed}{4\frac{2}{15}}\implies \cfrac{4\cdot 15+2}{15}\implies \stackrel{improper}{\cfrac{62}{15}}\hspace{10em} 3.\underline{1}\implies \cfrac{31}{1\underline{0}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{62}{15}\div \cfrac{31}{10}\implies \cfrac{62}{15}\cdot \cfrac{10}{31}\implies \cfrac{62}{31}\cdot \cfrac{10}{15}\implies \cfrac{2}{1}\cdot \cfrac{2}{3}\implies \cfrac{4}{3}\implies 1\frac{1}{3}[/tex]
I need to know the answer
Step-by-step explanation:
The graph of [tex]p(x)=2x^3[/tex] is less steep than [tex]f(x)=2.5x^3[/tex] because the coefficient 2 is less than the coefficient 2.5. That makes points on the graph of p(x) lie closer to the x-axis than points on the graph of f. For example, if x = 2, the point (2, 20) is on the graph of f but the point (2, 16) is on the graph of p (so it lies under the point (2, 20).
The graph of [tex]p(x)=-x^3[/tex] is less steep than the graph of f and it is reflected over the x-axis. The negative coefficient -1 is doing that. The values of the function p(x) are opposite sign to values of f(x).
The graph of [tex]p(x)=3x^3[/tex] is steeper than the graph of f(x) because the coefficient 3 is larger than the coefficient 2.5, making the points on the graph of p lie farther away from the x-axis than points on the graph of f(x).
pls help? i dont know any of this
Answer:
Round to the nearest tenth.
a. 0.54 + 0.278 = 0.5 +0.3 = 0.8
b. 2.65 + 28. 17= 2.70 + 28.20 = 30.9
c. 3.09 + 2.41 + 9.86 = 3.10+ 2.40 + 9.90= 15.4
d. 15.234 + 1.37 + 0.76 = 15.20 + 1.3 + 0.8 = 17.30
e. 39.18 + 2.48+ 0.84 = 39.20 + 2.5 + 0.8 = 42.5
Round to the nearest whole number.
f. 4.112 + 3.89 = 4 + 4 = 8
g. 23.14 + 7.6 + 3.67 = 23 + 8 + 4= 35
h. 53.2 + 3.08 + 27.51 = 53 + 3+ 28 = 84
i. 11.08 + 17.28 + 92.6 = 11 + 17 + 93 = 121
j. 24.08+ 7.9 + 3.06 = 24 + 8 + 3 = 35
Step-by-step explanation:
Hopefully it's right!!!
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of ?1/3
Oy + 2 = (x+3)
Oy -2=(x-3)
Oy+ 3 = (x + 2)
Oy-3=(x-2)
The equation which passes through (3,2) and slope 1/3 is:
y - 2 = 1/3 (x - 3)
Given, we have:
slope (m) = 1/3
Point = (3,2) = (x₁,y₁)
we are asked to determine the point slope form :
we know that:
point slope form:
y-y₁ = m(x-x₁)
substitute the above values in the formula:
y - 2 = 1/3 (x - 3)
Hence the correct option is B.
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Carlos is a receptionist at a law firm. he spends 2 minutes routing each phone call as it comes in. write an equation that shows how the total number of minutes carlos spends routing calls, y, depends on the number of calls, x.
The equation to show the total no. of minutes Carlos spends routing calls is y = 2x
To find the required equation, use the following given data:
Time taken by Carols for routing each call = 2 minutes
Total number of calls = x
Total number of minutes Carol spends routing calls = y
The one-dimensional function takes up a single input value (x) and outputs a single evaluation of the given input (y).
So, by practical application of one-dimensional function,
Total number of minutes Carols spends routing calls (y) = Time taken by Carols for routing each call * Total number of calls (x)
∴ The equation will be y = 2*x
Thus, y = 2x shows the total number of minutes Carlos spends routing the calls.
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The state board of education has $5,647 to buy new calculators. each calculator costs $2. after buying as many calculators as it can with its budget, how much money will the state board of education have left over?
By basic arithmetic, the state board of education will have $1 left .
What is meant by basic arithmetic?The area of mathematics known as arithmetic deals with the study of numbers and the numerous operations that can be performed on them. The four fundamental arithmetic operations in mathematics are addition (finding the sum), subtraction (finding the difference), multiplication (finding the product), and division (finding the quotient). These operations can be applied to all real numbers. The usage of fundamental arithmetic operations is the focus of the field of mathematics known as arithmetic.
Addition, subtraction, multiplication, and division are the four operations employed in arithmetic.
The total amount the state board has = $5647
The cost of calculator = $ 2
The total number of calculators bought = 5647/2
= 2323.5
≈ 2823
So, the cost of 2323 calculators
= 2823 × 2
= 5646
So, the money the state board of education left = $5647 - $5646
= $1
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can someone make a systems of equations word problem using (2, -2)? i included the equation
The word problem including the given equation is mentioned below.
Given, a system of equations
x + y = 0
2x - y = 6
We have to make a word problem using the given system of equations.
Ram and Rahul are two friends and both attempt a test of 10 marks. Now, Ram prepared for the test whereas Rahul didn't prepared for the test and marked the wrong answers in the test. If negative marking is allowed in the test and it is given that, sum of the marks of both the students is zero. Also, twice the marks of Ram is 6 less than the marks of Rahul.
Find the marks of both the students.
Hence, the word problem including the given equation is mentioned above.
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rachel and robert run on a circular track. rachel runs counterclockwise and completes a lap every 9090 seconds, and robert runs clockwise and completes a lap every 8080 seconds. both start from the same line at the same time. at some random time between 1010 minutes and 1111 minutes after they begin to run, a photographer standing inside the track takes a picture that shows one-fourth of the track, centered on the starting line. what is the probability that both rachel and robert are in the picture?
The probability that both Rachel and Robert are in the picture is 3/16.
The terms probability and possibility are interchangeable. It is a mathematical branch concerned with the occurrence of a random event. The value is between 0 and 1. In mathematics, the probability was introduced to predict the likelihood of events occurring.
Given that
Rachel and Robert both begin at the same point
Rachel completes a lap every 90 seconds.
Robert completes a lap every 80 seconds.
The photographer captures 1/4th of the track, centered on the starting line.
As a result, the photo captures 1/8th of the track on either side of the starting line.
The photographer captures it between 10 and 11 minutes, or 600 and 660 seconds.
Let us calculate the time interval between 600 and 660 seconds during which Rachel and Robert will be running in the quarter-length region of the track centered on the starting line. Specifically, 1/8th of the track length on each side of the starting line.
Robert will complete 1/8th of a lap in 10 seconds. So, between 630 and 650 seconds, Robert will be in the area of the ground captured by the photographer.
Rachel finishes one lap in 90 seconds. As a result, Rachel will take the starting line at the 630th second (after 7 laps).
Rachel will complete 1/8th of a lap in 90/8 seconds. So, Rachel will be in the area of the ground captured by the photographer from (630 - 90/80) seconds to (630 + 90/80) seconds.
i.e., for a duration of 90/80 seconds out of the 60 seconds both of them are in the frame captured by the photographer.
Required probability = {time window in which both Rachel and Robert are in the favorable zone}/{time window in which the photographer captures the picture}
= {90/8}/60
= 3/16
Therefore the probability that both Rachel and Robert are in the picture is 3/16
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Linda' chool play tarted at 9:05 AM. It lated 1 hour and 45 minute. What time did the play end?
In given word problem ending time of the play is 10.50 AM.
What is word problem?
A comprehensive list of math word problems focuses on addition, subtraction, multiplication, division and more specific operations. life scenario. This means that children must be familiar with vocabulary associated with familiar mathematical symbols in order to understand word problems.
Here starting time of play = 9:05 AM
It took 1 hour 45 minutes to end the play. Then ,
=> 9 hour 05 minutes
1 hour 45 minutes +
=> 10 hour 50 minutes.
Hence ending time of the play is 10.50 AM.
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According to this rate shown in this graph, after 12 minutes the coffee is about 110 degrees. After one hour (60 minutes), what do you think the temperature would be?
After one hour (60 minutes, the value of the temperature is 550 degrees.
What is temperature?Temperature is the degree of hotness and coldness that a body contains.
In this case, after graph, after 12 minutes the coffee is about 110 degrees. The temperature per minute will be:
= 110 / 12
= 9.167° per minute.
Therefore, the temperature after 1 hour which is 60 minutes will be:
= Time × Rate
= 60 × 9.167°
= 550°
The temperature is 550°.
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Find the error in the calculations below, if there is one:
Line (1): 4x³ + 2x² − 6x +3
Line (2): = 2x²(2x + 1) − 3(2x + 1)
Line (3): = 2x²(2x + 1) + ( − 3)(2x + 1)
Line (4): = (2x² − 3)(2x + 1)
Line 1 4x³ + 2x² − 6x +3 is having error.
Line 1.
4x³ + 2x² − 6x +3
Line 2.
= 2x²(2x + 1) − 3(2x + 1)
= 4x³ + 2x² - 6x - 3
Line 3.
= 2x²(2x + 1) + ( − 3)(2x + 1)
= 4x³ + 2x² - 6x - 3
Line 4.
= (2x² − 3)(2x + 1)
= 4x³ + 2x² - 6x - 3
expect line 1 remaining all three are equal.
Therefore Line 1 4x³ + 2x² − 6x +3 is having error.
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A car originally is worth $3000. It is decreasing in value by 3% every year. How much is it worth in 3 years.
(Round to the nearest cent)
Answer: $2738.02
Step-by-step explanation:
1) (3000x0.97) = 2910 } Year 1
2) (2910x0.97) = 2822.7 } Year 2
3) (2822.7x0.97) = 2738.019 } Year 3
a) 4 x -3 x 2 =
b) -2 x 5 x -4 =
c) -3 x -1 x -6 =
Answer:
a) 4 x -3 x 2 = -24
b) -2 x 5 x -4 = 40
c) -3 x -1 x -6 = -18
Answer:
a.4 x -3 x 2 =
use the rules for multiplication
-(4×3×2)
-(12×2)
=2
----------------------------------
b. -2 x 5 x -4 =
note:
-2×5(-4)
multiplying an even number of negative terms makes the product positive.
-2×5= 10
10×-4
=40
----------------------------------
C. -3 x -1 x -6 =
note:
multiplying an odd number of negative terms makes the product negative.
-(3×1×6)
=-18
Select the correct answer. Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(-13) = 20 B. g(7) = -1 C. g(0) = 2 D. g(-4) = -11
The statement which could be true for the function, g as required in the task content is; Choice C; g(0) = 2.
Which of the statements could be true for the function g?It follows from the task content that the statement which could be true about the function g is to be identified.
Since the given function instances are; g(0) = -2 and g(-9) = 6.
Since the function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45.
Hence, the statement which could be true about the function, g is; Choice C; g(0) = 2.
This is so because, 0 is in the domain of the function and 2 is in the range of the function.
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Theo mows a lawn. After working for 1 3/5 hours, he has mowed 7/9 of the lawn. Can Theo mow the lawn in 2 hours if he continue to mow at the same rate?
Yes, he can mow the lawn in 2 hours.
What is work done?We can define the work done as, a work done in a given period of time.
Given that, Theo mows a lawn. After working for 1 3/5 hours, he has mowed 7/9 of the lawn
In [tex]1\frac{3}{5}[/tex] hours he mows 7/9 part of lawn
Therefore, in 8/5 hours he is mowing 7/9 part of lawn
In 1 hour = 7/9*5/8 = 35/72
In 2 hours = 35/72*2 = 35/36 ≈ 1
Hence, Yes, he can mow the lawn in 2 hours.
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(DUE IN 2 HOURS PLEASE HELP) Find an equation for the line that passes through the points (5, 2) and (-4, 5).
Answer:
Y= -1/3x+11/3
Step-by-step explanation:
Dan spends
3
4
of his wages on rent and
1
8
on food. If he makes £240 per week, how much money does he have left?
The money left with Dan is £30 .
In the question ,
it is given that
the amount of money earned by Dan in a week is = £240 .
amount of money spent by Dan on rent is = 3/4 wage
amount of money spent by Dan on food is = 1/8 of wage
So ,
the total amount spent = amount spent on food + amount spent on rent
Substituting the values ,
we get ,
= 3/4 + 1/8 = 7/8 of his wage = (7/8)*240
= 210
so , total amount spent is £210 .
Amount left = amount earned - amount spent
= 240 - 210
= 30
Therefore ,The money left with Dan is £30 .
The given question is incomplete , the complete question is
Dan spends 3/4 of his wages on rent and 1/8 on food. If he makes £240 per week, how much money does he have left?
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What is the difference in average speed between two cars, one that traveled 160
kilometers in 5 hours, and the other that traveled 140 kilometers in the same
amount of time?
(Average speed = total distance + total time)
32 kilometers per hour
28 kilometers per hour
( 4 kilometers per hour
60 kilometers per hour
The difference in average speed between two cars is 4 kilometers per hour . Average speed of cars are 32 kilometers per hour and 28 kilometers per hour. The average speed is the total distance traveled by the object in a particular time interval.
How To calculate average speed ?The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path.
Both can be measured and quantified since they are physical quantities. Both phrases refer to moving bodies alone; they do not refer to static bodies.
Average speed of first car = total distance / total time
= 160/ 5 = 32
Average speed of second car = total distance / total time
= 140/ 5 = 28
The difference in average speed between two cars = 32 -28= 4
4 kilometers per hour is the difference
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Which pairs of triangles are similar? check all that apply. â–³abc ~ â–³def â–³def ~ â–³ghi â–³ghi ~ â–³abc â–³ghi ~ â–³jkl â–³jkl ~ â–³abc
The similar pairs of triangles are given as follows:
DEF and HGI.JKL and ABC:What are similar triangles?Similar triangles are two triangles that have the same angle measures.
For these triangles, considering the relations between angles such as sine/cosine/tangent, or the law of sines, the side lengths have to be proportional.
Considering the need for proportional side lengths, the similar triangles in this problem are given as follows:
DEG and HGI: as the proportion between the side lengths of each triangle is of 1.5.JKL and ABC: as the proportion between the side lengths of each triangle is of 0.5.The other triangles are not similar as there are no proportional relationships that can be established from the side lengths of these triangles.
Missing InformationThe problem is given by the image at the end of the answer.
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The graph shows the relationship between time and the number of soda bottles a machine can make. Use the points (4,160) and (6,240) to find the number of soda bottles the machine can make each minute.
The number of soda bottles the machine can make each minute = 40
In this question, we have been given the graph shows the relationship between time and the number of soda bottles a machine can make.
Also, we have been given two points (4,160) and (6,240)
We need to find the number of soda bottles the machine can make each minute.
i.e., we need to find the slope of line passing through points (4,160) and (6,240)
Using the formula of slope,
m = (240 - 160) / (6 - 4)
m = 80/2
m = 40
Therefore, the number of soda bottles the machine can make each minute = 40
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Calculate the area of the square!
Answer:
The answer is 169
Step-by-step explanation:
Y+4=2(x-7)
In standard form
Answer:
2x-y=18
Step-by-step explanation:
y + 4 = 2(x - 7) (open brackets)
y + 4 = 2x - 14 (re arrange)
4 + 14 = 2x - y
2x - y = 18
n a recent survey in a statistics class, it was determined that only 60% of the students attend class on fridays. from past data it was noted that 98% of those who went to class on fridays pass the course, while only 20% of those who did not go to class on fridays passed the course. a. what percentage of students is expected to pass the course?
The percentage of students expected to pass the course is 66.8%
The given data represents;
In a recent survey in a statistics class, it was determined that only 60% of the students attend class on Fridays. from past data, it was noted that 98% of those who went to class on Fridays passed the course, while only 20% of those who did not go to class on Fridays passed the course.
We need to find the percentage of students who are expected to pass the course.
Let 'A' be the event of passing,
'B' be the event of attending on Fridays.
P (A I B) = 0.98 * P (A I B') = 0.2
P (B) = 0.6
Then, P (B') = 1 - 0.6
= 0.4
→ P (A ∩ B) = P (A I B) * P (B)
= 0.98 * 0.6
= 0.588
→ P (A ∩ B') = P (A I B') * P (B)
= 0.2 * 0.4
= 0.08
∴ P(A) = P (A ∩ B) + P (A ∩ B')
= 0.588 + 0.08
= 0.668
Hence, the percentage of students expected to pass the course is 66.8%
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A recipe requires 4 1/2 cups of milk for every 2/3 of a cup of flour. What is the ratio of cups of milk to one cup of flour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
PLEASE HELP!!!
a government agency wished to estimate the proportion of drivers aged 16-24 who have been involved in a traffic accident within the last year. the agency wished to make the estimate within one percentage point and at 90% confidence. find the minimum sample size required, using the information that, several years ago, the proportion was 0.12.
The required minimum sample size is 2875
Given that,
A government organization wanted to determine how many drivers between the ages of 16 and 24 had recently engaged in an accident. The agency wanted to make the estimate with a 90% confidence level and within one percentage point.
From the standard normal table, the z-critical value at 90% confidence is 1.65.
The information represent E = 0.01, p = 0.12 and z. =1.65 for finding sample size.
n = (Zc / E )² x P(1-P)
= (1.65 2x0.12(1 - 0.12)0.01
= 2874.96 ~ 2875
Hence, 2875 is the necessary number of samples, minimum.
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