The most appropriate interpretation for the slope of the data given is the height of water in the pool increases by 2 inches per minute. Option (1) is correct.
The slope of a line, also known as its gradient, is the value of the steepness or direction of a line in a coordinate plane. Slope can be calculated using various methods given a line equation or the coordinates of points on a straight line.
Given that
Time Height
2 8
4 12
6 16
8 20
10 24
The slope of the line = 2
A line's slope is also known as its gradient or rate of change.
The slope can be positive or negative; positive slope values indicate an increase in x as y increases and vice versa.
A negative slope indicates that one variable decreases as the other increases.
Because the slope value given here is positive, we can conclude that the height of the water increases over time.
As a result, the height of the water rises by 2 inches per minute.
To learn more about the slope of the line visit
https://brainly.com/question/16180119
#SPJ1
Sam's lunch account was-$2.56 and he got lunch today.If lunch is $2.36, what is his balance?
Answer:
-$4.92
Step-by-step explanation:
-$2.56 - $2.36 is the same as 2.56 + 2.36 2+2=4 and 56+36=92 put them together and add a negative sign and you have your answer
I don’t know the answer
After 15 years, Zephan will have a balance of $13181.07 in his savings account.
Given,
In the question:
Compound Interest is given by the formula.
A = P(1 + r)^t
Zephan invested $5500 in a savings .
Rate of interest is 6%
Time = 15 years
Now, According to the question:
We know that :
P = 5500
r = 6%
n = 1
t = 15
Compound Interest is given by the formula.
A = P(1 + r)^t
Substitute the values in above formula.
A = 5500. [tex](1+\frac{6}{100}/1 )^1^5[/tex]
Evaluate the equation/expression:
A = 13181.070062
Round 13181.070062 to the required place
= 13181.07
Hence, After 15 years, Zephan will have a balance of $13181.07 in his savings account.
Learn more about Compound Interest at:
https://brainly.com/question/29335425
#SPJ1
ordered pairs solution for 7x+2y>-26
The ordered pairs that are solutions of the inequality are of the form:
(x, y > -3.5*x - 13)
Which ordered pairs are solutions of the inequality?
Here we have the inequality:
7x + 2y > -26
The solutions of this are the pairs (x, y) that, when replaced on the inequality, make it true.
If we isolate y on the inequality we get:
7x + 2y > -26
2y > - 26 - 7x
y > (-26 - 7x)/2
y > -3.5*x - 13
Then the ordered pairs are of the form:
(x, y > -3.5*x - 13)
For example, suppose that we fix the value of x in 0, then:
y > -3.5*0 - 13
y > -13
So the points of the form (0, y > -13) are solutions.
Learn more about inequalities:
https://brainly.com/question/24372553
#SPJ1
Sally can paint a room in 5 hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together?
It would take ___ hours
(Type an integer or decimal rounded to one decimal place as needed)
Answer:
3
Step-by-step explanation:
3Tap on a clip to paste it in the text box.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Use the edit icon to pin, add or delete clips.
Find the area of a rectangle with dimensions
11/12 in x 1/8 in.
The area of the rectangle is 11/96 in²
How to determine the area of the rectangle?In this question, we have the following parameters
Dimensions of rectangular area: 11/12 in x 1/8 in.
The area of a rectangle is the products of its dimensions
i.e. Area = products of dimensions
This implies that
Area = Length x Width
Substitute the known values in the above equation, so, we have the following representation
Area = 11/12 in x 1/8 in
Evaluate
Area = 11/96 in²
Hence, the rectangle area is 11/96 in²
Read more about areas at
https://brainly.com/question/25292087
#SPJ1
The assets and liabilities of a veterinarian are listed below.
Home Value $490,986
Mortgage $89,100
Credit Card Balance $6,691
Owned Work Equipment $98,820
Car Value $44,186
Investments $34,417
Office Equipment Loan $214,744
What is the value of the veterinarian's liquid assets?
$34,417
$44,186
$78,603
$98,820
Answer:
$34,417
Step-by-step explanation:
Hello,
As we can see liquid assets are things that can be easily converted to cash.
So, noting my previous statement we can see that investments are a liquid asset since it can be quickly or easily converted to cash.
LCD for 9/8 and 11/12
The Least Common Denominator (LCD) of 9/8 and 11/12 is 24.
The two given fractions are -
9/8 and 11/12
We have to find out the Least Common Denominator (LCD) of 9/8 and 11/12.
Firstly, we have to check if we can simplify the two given fractions. In this case, we have 9/8 and 11/12 which cannot be simplified further.
Now, we have to multiply the denominators with natural numbers until they there is a first common number in the denominators of the two given fractions.
Multiplying 8 with 2 gives 16. However, there 16 is not a multiple of 12,
Multiplying 8 with 3 gives 24. 12 when multiplied with 2 also gives 24.
So, the Least Common Denominator (LCD) of 9/8 and 11/12 is 24.
To learn more about LCD visit
https://brainly.com/question/21345138
#SPJ1
Nina is buying 8 avocados. each avocados weighs 8 oz. how much will they cost her if avocados cos $2.99 per pound
If avocados costs $2.99per pound, Nina will be paying $1.495
How to solve for the amount Nina would payThe information given in the problem shows that
avocado's have their price in pounds hence we convert the quantity given to pounds
1 pound = 16 ounces
? = 8 ounces
cross multiplying
8 * 1 = ? * 16
? = 8 / 16
? = 1/2
hence 8 ounces is 0.5 pounds
Then the cost of 0.5 pounds of avocados will be solved for
1 pounds = $2.99
0.5 pounds = ?
cross multiplying
? = 0.5 * 2.99
? = $1.495
Learn more about weight conversions here:
https://brainly.com/question/29400946
#SPJ1
Simplify.
8.4c-4.3c.
Answer:
4.1c
Step-by-step explanation:
8.4-4.3 is 4.1, and because you can combine like terms its 4.1c.
80 percent increased by 30 percent is what percent of 80
30% of 80% is 24% and the resulted percent will be 104% when 80% is increased by 30%.
What is fraction?A fraction is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters. A fraction is a portion of a larger total. The number is stated in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction. A complicated fraction contains a fraction in either the numerator or the denominator.
Here,
30% of 80%
=30*100(80*100)*100
=30*80/100
=24%
When 80% is increased by 30%, the resultant percent is 104% because 30% of 80% is equal to 24%.
To know more about fraction,
https://brainly.com/question/8969674
#SPJ1
Which expression is equivalent to 9 + 4y + 5 + 22 + 8?
Answer: The answer is 11x+4y+13
900 students attend Ridgewood Junior High School. 2% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
The number of students who brought lunch on Thursday is 18 students.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Number of students = 900
Number of students that brought lunch = 2% of 900
The number of students who brought lunch on Thursday.
= 2% of 900
= 2/100 x 900
2 x 9
= 18 students.
Thus,
The number of students who brought lunch on Thursday is 18 students.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ1
Find three consecutive even integers such that the sum of the least integer and the middle integer is 24 more than the greatest integer.
Answer:
26, 28, 30
Step-by-step explanation:
there is a difference of 2 between consecutive even integers
let the integers be n , n + 2 , n + 4 , then
n + n+ 2 = n + 4 + 24
2n + 2 = n + 28 ( subtract n from both sides )
n + 2 = 28 ( subtract 2 from both sides )
n = 26
n + 2 = 26 + 2 = 28
n + 4 = 26 + 4 = 30
the 3 consecutive even integers are 26 , 28 , 30
Tiana is buying party favors for the guests at her 12th birthday party. Each party favor costs $2.39. If she buys 15 party favors, how much money does she spend?
Answer:
$35.85
Multiply 2.39 * 15
4. Which of the following exponential functions matches the graph
←
a.
b.
(-1, 10)
11
+
)
5
(0, 2)
1
5
2 4
X
C.
y=2
5
d. y = 2(5)*
X
The equation y=2(1/5)ˣ is satisfy the graph with points (-1,10) and (0,2).
Given that,
In the picture we have a graph with two points (-1,10) and (0,2).
We have to find the equation of the graph from the given equation.
Basic Functions Graphing. if possible, identifying the shape. A line would be the graph of a linear function of the type f(x) = ax + b, for instance; a parabola would be the graph of a quadratic function.
We check by substituting the points in the equation of the option a,b,c and d.
The option c.
y=2(1/5)ˣ
The point (-1,10)
10=2(1/5)⁻¹
10=2(5)
10=10
The point (0,2)
2=2(1/5)⁰
2=2(1)
2=2
Therefore, The equation y=2(1/5)ˣ is satisfy the graph with points (-1,10) and (0,2).
To learn more about graph visit: https://brainly.com/question/17267403
#SPJ1
Use the equation below to find a, if b=6 and c=13.
a=35-b-c
a
1
X
Ś
The value of a = 16
The process of making something less complicated and hence easier to accomplish or understand, or the thing that arises from this process: The organization offers advice on how to simplify trade procedures. Simplification is classified into two types: You must be conversant with both sorts of simplification questions, the first of which is 'Finding the missing number.' The second type of simplification difficulty is 'the relationship between the numbers and simplifying the numbers using simplification principles.'
Given that b= 6 and c= 13
Given equation is a = 35-b-c
Now substitute b and c values in the given equation
A = 35 - 6 -13
A = 35 – 19
A = 16
Therefore the value of a = 16
To learn more about simplifications visit
https://brainly.com/question/13774143
#SPJ1
I WILL GIVE BRAINLYEST FOR ANSWER Rewrite the equation y=5-4/3x in standard form
Answer:
4x+3y=15
Step-by-step explanation:
y=-4/3x+5
4/3x+y=5
4x+3y=15
:]
A fitted linear regression equation is y = 6-2x. If × - 3 and the corresponding observed value of y = 2, the residual at this observation is:
The value of the residual is 2.
We are given a fitted linear regression equation. The equation is given below.
ŷ = 6 - 2x
The x-value for the data points is 3, and the corresponding y-value is 2. We have to find the value of the residual.
We will substitute the given values in the equation of the regression line.
ŷ = 6 - 2x
ŷ = 6 - 2(3)
ŷ = 6 - 6
ŷ = 0
Thus, the predicted value of y in the given regression equation is 0. The actual value of y is 2. The residual is the difference between the actual and predicted values of y. Let the residual be denoted by the variable "r".
r = y - ŷ
r = 2 - 0
r = 2
Hence, the residual is 2.
To learn more about residual, visit :
https://brainly.com/question/27864993
#SPJ1
please help this is inverse functions algebra 2
Se me da mal algebra pero la b tiene buena pinta porque no se
Which set of side lengths will NOT create a triangle?
Responses
8, 9, 10
2, 5, 8
10, 15, 20
10, 14, 18
Step-by-step explanation:
8,9,10 would not create a Triangle
Learn at brainly(18−42+2)21÷4⋅12 what does it equal
2
32
64
128
The value of (18−42+2)21÷4⋅12 equal to -1386
Algebra is a branch of mathematics that assists in the representation of problems or situations through the use of mathematical expressions. In algebra, we use numbers with definite or fixed values such as 2, -1, 0.33, and so on. In algebra, an algebraic expression is composed of integer constants, variables, and the basic arithmetic operations of addition(+), subtraction(-), multiplication(), and division(/). 5x + 6 is an example of an algebraic expression. 5 and 6 are fixed numbers, while x is a variable.
Given that
(18−42+2)21÷4⋅12
Now we have to simplify the equation
(20-42)21/ 4 x 12
(-22)21/ 4 x 12
= (-462/4) x 12
= - 115.5 x 12
= - 1386
Therefore the value of (18−42+2)21÷4⋅12 equals to -1386
To learn more about algebra visit
https://brainly.com/question/21443100
#SPJ1
Use the graphs off and g to describe the transformation from the graph off to the graph g.
f(x) = -1/2x-5
g(x) = f(x-3)
The graph of f(x) is transformed 6 units horizontally to get the graph g(x). g(x) is a transformation form of the graph of f(x).
What is the reciprocal function?
The typical instance of reciprocal functions that we might run into is y = a/x, where a is a real number. Accordingly, reciprocal functions are those that have an algebraic expression in the denominator and a constant on the numerator.
Given functions are:
f(x) = -1/(2x-5)
g(x) = f(x-3)
The points on the graph f(x) = -1/(2x-5) are:
When x = 0, f(x) = 1/5
When x = 1, f(x) = 1/3
When x = -1, f(x) = 1/7
The graph of f(x) is added.
Putting x = x-3 in f(x) = -1/(2x-5) to find the function g(x):
g(x) = -1/(2x-6-5)
g(x) = -1/(2x-11)
The points on the graph g(x) = -1/(2x-11) are:
When x = 0, g(x) = 1/11
When x = 1, g(x) = 1/9
When x = -1, g(x) = 1/13
The graph of g(x) is added.
The graph g(x) is translated 6 units horizontally.
To learn more about transformation of graph, you can visit below link:
https://brainly.com/question/19040905
#SPJ1
The number of ways in which 6 pictures can be hung from 8 picture nails on the wall is a) 6^8 b) 20160 c) 8^6 d) None of these
only for mathdud
The number of ways in which 6 pictures can be hung from 8 picture nails on the wall is b) 20160.
Given:
The number of ways in which 6 pictures can be hung from 8 picture.
Number of ways = [tex]8_C_{6}[/tex]*6!
[tex]8_C_{6}[/tex] = 8!/(8-6)!6!
= 8!/2!*6!
= 8*7*6! / 2*1*6!
= 56/2
= 28
6! = 6*5*4*3*2*1
= 30*4*3*2*1
= 120*3*2*1
= 360*2*1
= 720*1
= 720
[tex]8_C_{6}[/tex]*6! = 28*720
= 20160
Learn more about the number here:
https://brainly.com/question/17429689
#SPJ1
Answer:
answer is 20160 ..........
If ΔABC ≅ ΔFDE, which of the following statements is true? (1 point)
∠A ≅ ∠E
∠B ≅ ∠F
∠A ≅ ∠D
∠B ≅ ∠D
One group of children has 15 red blocks and 45 green blocks. Another group of children has 30 red blocks and 90 green blocks. Which proportion correctly describes the relative amounts of each color?
A, 15/45 = 30/90
B, 15/45
C, 1/3
D, 15/45 = 90/ 30
If $100 is borrowed and the interest after 6 months is $8, what is the annual interest rate for a simple interest loan?
Answer:
48
Step-by-step explanation:
I=prt
8/100= 0.08
I=100(6)(0.08)
48
Given the polynomial equation: x^3-7x^2-x+7=0
1. Make a list of possible rational roots
2. Test the possible roots until you find one that produces a reminder of 0. Show your work.
3. Write the resulting quadratic function.
4. Factor or use the quadratic formula to find the final 2 roots.
What sorts of follow up questions about the statistics might you ask that person in order to obtain the data needed to make a decision about the validity of that statement? Be sure to use concepts and vocabulary from this week to guide your response.
The follow up questions about the statistics that you might ask in order to obtain the data needed to make a decision about the validity of that statement include:
How was the information gathered?Was the experiment under control?How big were the control and placebo groups?Was it a double-blind or blind test?Were extreme outliers removed from the data before the experiment was run?What is statistics?Statistics is the science that studies and develops methods for collecting, analyzing, interpreting, and presenting empirical data.
Statistics is the study and manipulation of data, which includes methods for gathering, reviewing, analyzing, and drawing conclusions from data. Statistics is divided into two categories: descriptive statistics and inferential statistics. Such questions can be asked to gain a better understanding of the statement's validity.
Learn more about statistics on:
https://brainly.com/question/16030242
#SPJ1
From the chart, estimate (roughly) the number of transistors per IC in 2016. Using your estimate and Moore's Law, what would you predict the number of transistors per IC to be in 2040?
Please explain
The estimates for the number of transistors per IC, using an exponential function, are given as follows:
2016: 16,777,216,000.2040: 6.87 x 10¹³.What is the format of an exponential function?An exponential function has the general format presented as follows:
[tex]y = ab^\frac{x}{n}[/tex]
In which the parameters of the function are listed as follows:
a is the initial value of the function.b is the rate of change of the function.n is the period relative to the rate of change.By Moore's Law, the number of transistors per IC doubles every two years, hence the values of parameters b and n are both two, that is:
b = 2, n = 2.
We take 1972 as the reference year, when the amount was of 4000 transistors per IC, hence the value of parameter a is given as follows:
a = 4000.
Thus the equation is:
[tex]A(t) = 4000(2)^{\frac{t}{2}}[/tex]
Giving the number of transistors per IC in t years after the reference year of 1972.
2016 was 44 years after 1972, hence the estimate for the amount of transistors by IC was of:
[tex]A(44) = 4000(2)^{\frac{44}{2}} = 16,777,216,000[/tex]
2040 will be 68 years after 1972, hence the estimate for the amount of transistors by IC is of:
[tex]A(68) = 4000(2)^{\frac{68}{2}} = 6.87 \times 10^{13}[/tex]
A similar problem, also featuring exponential functions, is given at brainly.com/question/25537936
#SPJ1
con tubos de 4,5 metros de largo se desea conducir agua a lo largo de 18 km. ¿cuantos tubos serán necesarios?
Answer:
Serán necesarios:
4000 tubos
Step-by-step explanation:
1 km = 1000 metros
18 km = 18*1000 = 18000 metros
Entonces:
18000/4.5 = 4000