For the given op amp circuit with v0 = 0 and upsilons = 3 V, the value of upsilon(t) for t > 0 can be calculated using the concept of virtual ground and voltage divider rule.
In the given circuit, since v0 = 0, the non-inverting input of the op amp is connected to ground, which makes it a virtual ground. Therefore, the inverting input is also at virtual ground potential, i.e., it is also at 0V. This means that the voltage across the 1 kΩ resistor is equal to upsilons, i.e., 3 V. Using the voltage divider rule, we can calculate the voltage across the 2 kΩ resistor as:
upsilon(t) = (2 kΩ/(1 kΩ + 2 kΩ)) * upsilons = (2/3) * 3 V = 2 V
Hence, the value of upsilon(t) for t > 0 is 2 V. The output voltage v0 of the op amp is given by v0 = A*(v+ - v-), where A is the open-loop gain of the op amp, and v+ and v- are the voltages at the non-inverting and inverting inputs, respectively. In this case, since v- is at virtual ground, v0 is also at virtual ground potential, i.e., it is also equal to 0V. Therefore, the output of the op amp does not affect the voltage across the 2 kΩ resistor, and the voltage across it remains constant at 2 V.
Learn more about divider rule here:
https://brainly.com/question/9264846
#SPJ11
Q. You’re on a reidential contruction team doing roofing. The pitch of a roof i 13 rie over run. Find the rie if the horizontal run of the roof i 15 feet 34 inche
The rise is 231 feet 10 inches if the horizontal run of the roof is 15 feet 34 inches.
Let us assume that x represents the rise and y represents the run,
According to the given problem,
x= 15 feet 34 inches
Converting feet into inches,
we know, 1 feet = 12 inches
so, 15 feet 34 inches = 15*12+34 = 214 inches
Now finding the rise in terms of x and y,
13 = y/x
substituting the value of x and solving for y:
13 = y/214
y = 13*214
y = 2782 inches
Converting inches into feet,
2782 inches = 2782/12 = 231 feet 10 inches
Thus, The rise is 231 feet 10 inches if the horizontal run of the roof is 15 feet 34 inches.
Correct question: You’re on a residential construction team doing roofing. The pitch of a roof is 13 rise over run. Find the rise if the horizontal run of the roof is 15 feet 34 inches.
To know more about inches visit: brainly.com/question/16311877
#SPJ4
Can you help me with this?
Answer:
altitude ≈ 23 cm
Step-by-step explanation:
since the triangle is isosceles then the altitude AD is the perpendicular bisector of BC , so
BD = [tex]\frac{1}{2}[/tex] BC = 7 cm
using Pythagoras' identity in right triangle ABD
AD² + BD² = AB²
AD² + 7² = 24²
AD² + 49 = 576 ( subtract 49 from both sides )
AD² = 527 ( take square root of both sides )
AD = [tex]\sqrt{527}[/tex] ≈ 23 cm ( to the nearest whole number )
then the altitude is approximately 23 cm
Use the table of values to write an equation that shows y as a function of x. x 0 3 6 9 12 y -4 2 8 14 20 A y = x + 3 B y = 1 2 x − 4 C y = 2x − 4 D y = 2x + 6
A function called f is defined by the notation y=f(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The dependent variable or output value is denoted by the letter y, or f(x).
What are function ?A relation between a collection of inputs and outputs is known as a function.
A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Each function has a range, codomain, and domain.
The usual way to refer to a function is as f(x), where x is the input.
A function is typically represented as y = f. (x).
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
Hence, A function called f is defined by the notation y=f(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The dependent variable or output value is denoted by the letter y, or f(x).
learn more about functions click here:
https://brainly.com/question/11624077
#SPJ1
All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 20% of students brought their lunch. 34 students brought their lunch. How many students in total are in Ridgewood Junior High School?
Based on their percentages, the total number of students in Ridgewood Junior High School is 170.
What is the percentage?The percentage refers to the ratio or relative value of a variable or number compared to another.
Percentages are expressed as the product resulting from the multiplication of a quotient (numerator over denominator) by 100.
The percentage of students who brought their lunch = 20%
The number of students who brought their lunch = 34
Since all students either eat from the school cafeteria or bring their launch, the percentage of students who brought their lunch = 80% (1 - 20%).
34 = 20%
The percentage of students in the school = 100% (20% + 80%)
The number of students in the school = 34/20%
= 170
Thus, using percentage ratios, we can conclude that the total number of students in the school is 170.
Learn more about percentages at https://brainly.com/question/24877689
#SPJ1
Solve the equation with explanation
0.4 (20 - 10m) = 2.5 - 2m - 12.5
Answer
The answer is (m = 9)
Step-by-step explanation:
Rearrange terms = Step 1
0.4(20-10m) = 2.5 - 2m-12.5
0.4(-10m+20) = 2.5 - 2m - 12.5
Step 2 = Combine multiplied terms into a single fraction
Step 3 = Distribute
Step 4 = Subtract the numbers
Step 5 = Rearrange terms
Step 6 = Add 2m to both sides
Step 7 = Simplify
Step 8 = Multiply all terms by the same value to eliminate fraction denominators
Step 9 = Cancel multiplied terms that are in the denominator
Step 10 = Multiply the numbers
Step 11 =Subtract 40 from both sides
Step 12 = Simplify
Step 13= Divide both sides by the same factor
Last but not least is Simplify
Hope it helped:)
How to do a dilation of 1.5 about the origin?
Remember that to dilate something in the coordinate plane, multiply each coordinate by the scale factor. For this dilation, the mapping will be ( x , y ) → ( 1.5 x , 1.5 y )
How do dilate from the origin?If you are dilating a figure centered at the origin, you can multiply the coordinates of the points in the preimage by the scale factor to determine the points in the imageIf you are dilating a figure centered at the origin, you can multiply the coordinates of the points in the preimage by the scale factor to determine the points in the image.The time between dilating to 1 cm and giving birth varies from woman to woman. One woman may go from having a closed cervix to giving birth in a matter of hours, while another is 1–2 cm dilated for days or weeks. Some women do not experience any dilation until they go into active laborTo learn more about dilate refers to:
brainly.com/question/20482938
#SPJ4
What are the methods for conversion of 2D image to 3D explain any two?
The 2D to 3D conversion process consists of two steps:
A stereo pair is formed by depth estimation of a given 2D image and depth-based rendering of a new image.
What are 3D Shapes?A 3D shape is a three-dimensional shape or object that has three dimensions (length, width, and height), as opposed to two-dimensional objects that have only length and width. Other important terms related to 3D geometry are faces, edges, and vertices. Due to its depth, it occupies a certain volume. Some 3D shapes have a base or cross section as a 2D shape. For example, all sides of a cube are squares.
To know more about three-dimensional shape, visit:
https://brainly.com/question/22203904
#SPJ4
Suppose a binomial trial has a probability of success of 0.2, and 500 trials are performed. What is the standard deviation of the possible outcomes? Round your answer to two decimal places.
10 is the standard deviation of the possible outcomes.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given a a binomial trial has a probability of success of 0.2, and 500 trials are performed
We need to find the standard deviation of the possible outcomes
To find the standard deviation of this binomial distribution, first find the variance by the formula:
= Number of trials x probability of success x ( 1 - probability of success )
= ( 500 x 0. 2 x ( 1 - 0. 2))
= 100
The standard deviation would be:
= √(Variance )
= √(100)
= 10
Hence, 10 is the standard deviation of the possible outcomes.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ1
someone HELPP me plssss pls
Answer: x=−4
Step-by-step explanation:
The recipe calls for 4 apples to make a pie. If I want to double to recipe to make 2 pies, what would be the percentage change?
The percentage change could be around 50 % as we are doubling the recipe to make 2 pies.
What is percentage ?
percentage can be defined as the product of ratio of given value, total value to the 100.
Given,
The recipe calls for 4 apples to make a pie.
If I want to double to recipe to make 2 pies,
So,
let the percentage could be x ,
x =( change in value / total value ) * 100
x = (8-4/8)*100
x = 50%
Hence , The percentage change could be around 50 % as we are doubling the recipe to make 2 pies.
To learn more about percentage from the given link.
https://brainly.com/question/29306119
#SPJ1
After driving 54km, Saed found that he ha only covered 18%of ditance. How much did he had to cover?
Therefore , the solution of the given problem of percentage comes out to be 246 kilometers left for distance to covered.
What is percentage ?In mathematics, a percentage is a mathematical ratio that is stated as a portion of 100. Occasionally, the abbreviations "pct.," "percent," and "pt" are also used. However, the percentage symbol "%" is frequently used to represent it. There are no dimensions to the % quantity. Since percentages have a numerator of 100, they are actually fractions. A number must be followed by the cent symbol (%) to denote that it is a percentage. For illustration, you would receive a 75% mark if you answered 75 out of questions on a test correctly.
Here,
Given:
Saed discovered that he had barely traveled 18% of the
distance after driving 54 km.
Therefore, if he traveled 54 kilometers outside of it,
the total distance
=> 100/18 * 54
=> 300 kilometers
Thus , the left distance
=> 300 - 54
=> 246 kilometers
Therefore , the solution of the given problem of percentage comes out to be 246 kilometers left for distance to covered.
To know more about percentage visit:
https://brainly.com/question/28269290
#SPJ1
Use the origin as the center of dilation and the given scale factor to find the coordinates of the vertices of the image of the polygon.
k = 4
The coordinates of the points after dilation is S'(-20,10), T'(16,-12), U(-4,-4), and V'(-12,-4).
What is dilation?Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.
Given that the scale factor is 4. The coordinates of the points after dilation is,
S(-5,2) = S'(-5 x 4 , 2 x 4) = S'(-20, 8)
T(4,-3) = T'(4 x 4, -3 x 4 ) = T'(16, -12)
U(-1,-1) = U'(-4,-4)
V(-3,-1) = V'( -3 x 4, -1 x 4 ) = V'(-12,-4)
To know more about dilation follow
brainly.com/question/3457976
#SPJ1
what is the quotient? x2-10x+25/(x-5)(x+5)
Answer:-2.3,11.,11.,-0.25 or x2 - 10x - 25- -5
Step-by-step explanation:
u just go in a TI-nspire CX calculator and type in in how it looks
Which of the following is not a solution of the pair of equations 3x−2y=4 and 6x−4y=8?A) x=2,y=1B) x=4,y=4C) x=6,y=7D) x=5,y=3
As the value of x(=5) and y(=3) does not satisfies any of the given equation, hence (5,3) is not a solution of the pair of equations 3x−2y=4 and 6x−4y=8
The correct option D
Now, According to the question:
Given,
There are two equation are given as:
3x - 2y = 4
6x - 4y = 8
To check the which of the following is not a solution of the pair of equations ?
A) x = 2 and y = 1
=> 3 × 2 - 2 × 1 = 4
6 - 2 = 4
4 =4
=> 6 × 2 - 4 ×1 = 8
12 - 4 = 8
8 = 8
B) x = 4 and y = 4
=> 3 × 4 - 2 × 4 = 4
12 - 8 = 4
4 =4
=> 6 × 4 - 4 × 4 = 8
24 - 16 = 8
8 = 8
C) x = 6 and y =7
=> 3 × 6 - 2 × 7 = 4
18 - 14 = 4
4 = 4
=> 6 × 6 - 4 × 7 = 8
36 - 28 = 8
8 = 8
D) x = 5 and y = 3
=> 3 × 5 - 2 × 3 = 4
15 - 6 = 4
9 ≠ 4
=> 6 × 5 - 4 × 3 = 8
30 - 12 = 8
12 ≠ 8
As the value of x(=5) and y(=3) does not satisfies any of the given equation, hence (5,3) is not a solution of the pair of equations 3x−2y=4 and 6x−4y=8
Learn more about Equation at:
https://brainly.com/question/12286263
#SPJ4
Drag the points to create a graph that satisfies the following requirements:
Graph for Domain : 1 ≤ x ≤ 3 ; Range : 2 ≤ y ≤ 7 is attached below:
What is graph?A graph is a kind of a chart where data are plotted as variables across the coordinate.
Given,
Domain : 1 ≤ x ≤ 3
Range : 2 ≤ y ≤ 7
value of y should be 2 to 7.
value of x should be 1 to 3.
Hence, following is the graph that satisfy
Domain : 1 ≤ x ≤ 3
Range : 2 ≤ y ≤ 7
Learn more about graph here:
brainly.com/question/17267403
#SPJ1
What is the standard form of equation y 3x 10?
The standard form of the equation y = 3x + 10 is -3x +y = 10.
To accomplish the given equation and bring it in the standard form for our problem, we first arrange it in standard form and then apply a little algebra to subtract 3x from both sides of the equation.
Given,
y = 3x + 10
Subtract 3x from each side.
Simplify: y - 3x = 3x + 10 - 3x.
y - 3x = 10
The x word should be placed first in the left-hand side arrangement.
-3x + y = 10
We discover that y = 3x + 10 is written as -3x + y = 10.
Ax + By = C is the equation of a line in its standard form, where A, B, and C are constants. There are several possible ways to express a line's equation, and if we are given a line that isn't in standard form, we can apply a little algebra to change the equation.
To know more about standard form of the equation, refer to the following link:
https://brainly.com/question/26238391
#SPJ4
a. evaluate the integral (9 to 1) x^0.5 dx
The integral of x^0.5 from 9 to 1 is approximately 17.3333
what is integral?An integral is a mathematical concept used to calculate the area under a curve or the total change of a function. It's a fundamental concept of calculus and has many applications in physics, engineering, economics and more.
To evaluate the integral of [tex]\sqrt{x}[/tex] from 9 to 1, we can use the antiderivative method. The antiderivative of [tex]\sqrt{x}[/tex] is (2/3) [tex]x^\frac{3}{2}[/tex], so the definite integral can be evaluated as:
[tex]\int\limits^9_1 {\sqrt{x} } \, dx[/tex] = [tex]\left \{ {{x=9} \atop {x=1}} \right.[/tex] (2/3) [tex]x^\frac{3}{2}[/tex]
On substituting the limits we get
(2/3)[[tex]9^\frac{3}{2}[/tex]- 1]
= (2/3)(27) - (2/3)
= 18 - 2/3
= 17.3333
Therefore, the definite integral of x^0.5 from 9 to 1 is approximately 17.3333
To know more about integral click below:
https://brainly.com/question/29974649#
#SPJ4
Find the value.
3 x 5²
30
225
45
75
Answer:
75
Step-by-step explanation:
3 × 5²
= 3 × 5 × 5
= 15 × 5
= 75
Answer:
75
Step-by-step explanation:
This is testing Order of Operations
PEMDAS
In this equation we see E (exponents) and M (Multiplication)
The E comes first so doing the exponent of 5^2 we get 25, because that's the same as 5 * 5
After the E is the M, so we multiple the 25 by the 3, giving you 75.
What is the smallest possible perimeter of the triangle rounded to the nearest tenth?
The smallest possible perimeter of an acute triangle with the longest side of 30 inches and two congruent sides is 40.96 inches by applying the triangle inequality theorem.
For an acute triangle, the longest side or hypotenuse must be less than the sum of the other two sides, this is known as the triangle inequality theorem.
Given that the longest side of the triangle measures 30 inches, and the two remaining sides are congruent, we can use the triangle inequality theorem to find the smallest possible perimeter of the triangle.
If we call the length of the other two sides x, then we know that x+x>30, so x>15.
The smallest perimeter is then 2x+30.
The smallest possible perimeter of the triangle, rounded to the nearest hundredth is 40.96 inches.
So the answer is 40.96 in.
To learn more about perimeter at
https://brainly.com/question/6465134?referrer=searchResults
#SPJ4
The question is -
The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown. What is the smallest possible perimeter of the triangle, rounded to the nearest hundredth? 40.96 in. 51.22 in. 72.44 in. 81.22 in.
in 6-7 explain whether each graph represents a functions
A graph is a visual representation of data, showing relationships between different variables or values.
What is graph?Graphs are often used to represent a function, which is a set of inputs and outputs. A function is a relationship between two variables, where the output of the function depends on the input. In a graph, the input is represented on the x-axis, and the output is represented on the y-axis.
The first graph pictured is a linear function, which is a function that can be expressed as a straight line. This linear graph has a positive slope, meaning that as the input increases, so does the output. This graph represents a linear function because the output can be determined by the input, which is expressed as an equation in the form of y = mx + b.
The second graph pictured is a quadratic function, which is a function that can be expressed as a parabola.
This graph also has a positive slope, meaning that as the input increases, so does the output. This graph represents a quadratic function because the output can be determined by the input, which is expressed as an equation in the form of y = ax2 + bx + c.
Both of these graphs represent functions because they show a relationship between the input and output of a given data set. The input values are shown on the x-axis and the output values are shown on the y-axis, and these values can be used to determine the equation for the function.
To know more about graph click-
https://brainly.com/question/19040584
#SPJ1
Three waiters at a local restaurant earned different amounts of money the past week. Jennifer earned $40 less than twice the amount Tony earned. Chris earned $60 more than Tony. How much did each waiter earn if they earned a total of $900?
Tony earned $220
Step-by-step explanation:
Tony = n
Jenifer = x
Chris = y
x = 2n - 40
y = n + 60
Write an equation for the total the three waiters earned. Solve for Tony's earnings.
n + x + y = $900
n+2n−40+n+60=900
Step 1: Simplify both sides of the equation.
n+2n−40+n+60=900
n+2n+−40+n+60=900
(n+2n+n)+(−40+60)=900(Combine Like Terms)
4n+20=900
4n+20=900
Step 2: Subtract 20 from both sides.
4n+20−20=900−20
4n=880
Step 3: Divide both sides by 4.
4n/4 = 880/4
n=220
Along a hike, Jon takes 6 pictures. He takes 1 picture at
equal distances along the 3.72-mile trail. How far did Jon hike
between pictures?
mile(s)
The hike between the pictures will be 22.32 miles.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that along a hike, Jon takes 6 pictures. He takes 1 picture at equal distances along the 3.72-mile trail.
The hike will be calculated as:-
Hike = 6 x 3.72
Hike = 22.32 miles
Hence, the hike will be 22.32 miles between the pictures.
To know more about an expression follow
https://brainly.com/question/28773316
#SPJ1
10.6 exponential growth and decay
1. y=7500(1+0.3)^x
2. y=(0.85)x
3. y=900(1.27)^x
The sides of the triangle shown increase in such a way that dz/dt=1, and dx/dt=3 dy/dt At the instant when x = 12 and y= 5, what is the value of dx/dt?
The value of is dx/dt = 0.95, when x = 12 and y =5.
What is Pythagoras theorem?Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides. The Perpendicular, Base, and Hypotenuse are the names of the three sides of this triangle.
Given:
dz/dt = 1,
dx/dt = 3(dy/dt)
So, dy/dt = 1/3 (dx/dt)
According to the Pythagoras theorem -
z² = x² + y²
Differentiating both sides we get
d/dt (z²) = d/dt (x² + y²)
2z dz/dt = 2x dx/dt + 2y dy/dt
z dz/dt = x dx/dt + y dy/dt
Substituting the value of dy/dt -
z dz/dt = x dx/dt + y/3 (dx/dt)
z dz/dt = dx/dt (x + y/3)
dx/dt = (z dz/dt)/(x + y/3).....(1)
So, when x = 12 and y = 5, the value of z -
z = √[(12)² + (5)²]
z = √(144+25)
z = √169
z = 13
Substituting the value of x, y, z and dz/dt in equation (1), we get
dx/dt = (13 × 1)/(12 + 5/3)
dx/dt = 13 / 41/3
dx/dt = (13 × 3)/41
dx/dt = 39/41
Hence, the value of dx/dt = 0.95.
learn more about Pythagoras theorem here:
https://brainly.in/question/185373
#SPJ1
Simplify the following expression.
A.23/63x+1/2
B. 23/63x+1/4
C. -5/63x+1/2
D. 3/16x+1/4
Answer:
Step-by-step explanation:
What do you call the triangle that have the same shape but not the same size?
The triangle that have the same shape but not the same size are similar triangles
What are Similar triangles ?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
If the respective sides of two triangles have the same ratio and the corresponding angles are equal, then the triangles are comparable (or proportion). Triangles that are similar will have the same form but may not be the exact same size.
Two triangles are said to be similar if their corresponding angles are equal. Equiangular triangles are what they are called. Two equiangular triangles were the subject of a significant finding made by the well-known Greek mathematician Thales. He applied the Basic Proportionality Theorem, sometimes known as the Thales Theorem, as a conclusion.
To learn more about Triangles refer to :
https://brainly.com/question/14926756
#SPJ4
please find the value of X
Answer:
x ≈ 21.3
Step-by-step explanation:
using the sine ratio in the right triangle
sin80° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{21}{x}[/tex] ( multiply both sides by x )
x × sin80° = 21 ( divide both sides by sin80° )
x = [tex]\frac{21}{sin80}[/tex] ≈ 21.3 ( to 1 decimal place )
(-3v)^5
simplify the expression
The air pressure, P millibars, at a distance of n kilometres above sea level is given by this formula:
P = 1013 × 0.887
a) What is the air pressure at sea level?
b) By what percentage does the air pressure decrease for each kilometre above sea level?
PLEASEE HELPP BEG!!!!
a) The air pressure at sea level is given by the formula when n = 0, so P = 1013 × 0.887 = 900.71 millibars.
b) To find the percentage decrease in air pressure for each kilometre above sea level, we can use the formula for percentage change:
(New Value - Original Value) / Original Value * 100
What is air pressure?Air pressure, also known as atmospheric pressure, is the force exerted on a surface by the weight of the air above it. Air pressure is typically measured in units such as millibars (mb) or inches of mercury (inHg). It plays an important role in weather patterns and can affect things like airplane flight and altitude sickness.
What is sea level?Sea level refers to the average level of the surface of the ocean. It is used as a reference point for measuring elevation, and for measuring air pressure at a specific location. At sea level, the air pressure is approximately 1013 millibars or 29.92 inches of mercury (inHg). Air pressure decreases as the altitude increases above sea level.
The new value is P = 1013 × 0.887^n and the original value is P = 1013 (at sea level)
So, the percentage decrease in air pressure for each kilometre above sea level is:
(1013 × 0.887^n - 1013) / 1013 * 100 = (-0.113n) * 100 = -11.3n %
So, the air pressure decreases by -11.3 % for each kilometre above sea level.
To know more about pressure visit:
https://brainly.com/question/12977546
#SPJ1
Rhonda' job i to drive a car for a company. Each month he i paid the ame alary. She i alo paid extra money for the number of mile he drive the car each month. • In July Rhonda drove 640 mile and wa paid a total of $3,502. 0. • In Augut Rhonda drove 820 mile and wa paid a total of $3,601. 0. Which function can be ued to find y, the total amount he i paid in a month if he drive × mile?
If Rhonda drives x miles in a month, she will be paid a total of $2,352 + ($0.55 * x).
We can use the information given to set up a system of equations to find the function that relates the number of miles driven (x) to the total amount paid (y).
Let's call the fixed salary that Rhonda receives each month "s" and the extra money she receives per mile driven "m".
Based on the information given, we know that in July, Rhonda drove 640 miles and was paid a total of $3,502. So, we can set up the following equation:
y = s + (m * 640) = $3,502
And in August, Rhonda drove 820 miles and was paid a total of $3,601. So, we can set up the following equation:
y = s + (m * 820) = $3,601
We can use these equations to solve for "s" and "m".
Subtracting the first equation from the second equation:
$3,601 - $3,502 = s + (m * 820) - s - (m * 640)
$99 = (m * 820) - (m * 640)
$99 = m * 180
m = $0.55
Now we can substitute this value of m back into one of the equations to solve for s
$3,502 = s + (0.55 * 640)
s = $2,352
So the function that relates the number of miles driven (x) to the total amount paid (y) is:
y = $2,352 + ($0.55 * x)
Thus, This means that if Rhonda drives x miles in a month, she will be paid a total of $2,352 + ($0.55 * x).
To learn more about equations,
Visit; brainly.com/question/29657983
#SPJ4