The driver would have needed 76 feet to come to a complete stop after she saw the cow assuming she stayed on the road.
What is stopping distance?Stopping distance can be defined as a measure of the distance between the time when a brake is applied by a driver to stop a vehicle that is in motion and the time when the vehicle comes to a complete stop (halt).
In this scenario, we can infer that the driver would have needed 76 feet to come to a complete stop after she saw the cow assuming she stayed on the road.
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$28 lunches; 15% tip
Answer: $4.20 tip
Step-by-step explanation:
15% of 28 is 4.2
Using a calculator, you can find the value of the tip by multiplying 0.15 by 28.
Answer:
Paid a total of $32.20 ($28 for the lunches and $4.20 for the tip)
Step-by-step explanation:
Solve to find the amount of the tip
–Since 28 is given, all you have to do is find 15% of 28 to find how much the tip was:
15% of 28 ⇒ 0.15 × 28 = 4.2
Answer: $4.20
Solve to find the total amount paid
–Now, add 28 (amount paid for the lunches) and 4.2 (amount of the tip) together to find the total amount that was paid:
28 + 4.2 = 32.2
Final Answer: Paid a total of $32.20 ($28 for the lunches and $4.20 for a tip)
Hope this helps! :)
My name is Peter and I am standing on a number line. Today is Wednesday and I am standing on -5. On Tuesday, I was 7 units East of where I am today. On Monday, I was standing 13 units West of where I was standing on Tuesday. On Sunday, I was standing 4 units West of where I was standing on Tuesday. On which integer was I standing on Sunday? Show your work.
Answer:
-2
Step-by-step explanation:
You start at -5 then you add 7 then subtract 4. The part where you were standing on Monday doesn't matter.
Which shapes from your tree construction in the Clade Race are synapomorphic?
a. Arrow
b. Circle
c. Moon
d. Triangle
e. Square
f. Cross
g. Star
h. Heart
i. Hexagon
c. Moon, d. Triangle, e. Square, h. Heart morphologies are synapomorphic from building your tree in the clade race.
In order to help businesses conduct sales transactions, employ marketing techniques, and manage their finances, inventory, and personnel, Square offers a variety of products and services. The Square app can currently be used to accept card payments in the US, Canada, Australia, Japan, the UK, Republic of Ireland, France, and Spain. With Square Payments, you can easily and safely accept all forms of payment. You can collaborate with customers rather than competing with them when it comes to how they want to pay for goods and services when you use Square Payments. Through Square, you can accept credit cards, Apple Pay, Android Pay, and a lot of other payment options.
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Where it says “Exercises.”
Is number 1 = 90 ?
Yes you are correct. The diagonals of any kite are perpendicular.
This can be proven by showing that triangle KGH is congruent to triangle KJH through the SSS congruence theorem. From there you break up the triangles focusing on triangle JRK and triangle GRK, now using the SAS rule to conclude that angle JRK = angle GRK. Since those are a linear pair, those angles must be right angles.
Side note: A kite is defined to be any quadrilateral in which it has two pairs of adjacent congruent sides. Not all four sides are the same length though (otherwise we would have a rhombus).
what is 5/2x + 1/2x = 9 + 7/2
Answer: x = 25/6
Step-by-step explanation: yes
Answer: x=25/6
Step-by-step explanation:
combine multiplied terms into 1 fraction
5/2*+1/2x=9+7/2
5x/2+1/2x=9+7/2
combine
5x/2+1/2x=9+7/2
5x/2+1x/2=9+7/2
multiply by 1
5x/2+1x/2=9+7/2
5x/2+x/2=9+7/2
Need help! giving 20 pts! the most important component of a physical structure is a solid foundation on which the rest of the structure sits. a strong foundation allows buildings to last longer and withstand many outside forces. just like the foundation of a building, a strong foundation for algebra is critical for success and allows you to extend your understanding to more complex mathematical and real-world situations. what are some of the foundational, or key, concepts of algebra that you have learned so far?
The foundational concepts of algebra include variables, equations, and operations. These concepts provide a basis for understanding and manipulating mathematical expressions and solving problems.
Variables are symbols that represent unknown quantities in algebraic expressions and equations. They allow us to generalize problems and find solutions that work for different scenarios. Equations are statements that express the equality of two algebraic expressions, providing a framework for solving problems. By setting up and solving equations, we can find values for variables and determine the relationships between different quantities.
Operations such as addition, subtraction, multiplication, and division are fundamental in algebra. They allow us to combine and manipulate expressions and equations, enabling us to simplify and solve complex problems. Operations also follow certain rules, such as the order of operations (PEMDAS/BODMAS), which ensure consistent and accurate computations.
Understanding these foundational concepts of variables, equations, and operations forms the basis of algebraic thinking. They provide the tools needed to analyze and solve problems in mathematics and real-world situations, allowing for the extension of algebra to more complex scenarios, such as systems of equations, inequalities, and functions.
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Share 520 dollars between Carol and May. Mary's share being 26 dollars more
Answer:
Mary gets 273 and Carol Gets 247
Step-by-step explanation:
bhvjhgfhjnmkjnhbgvfcvgbhj
An international company has 14,200 employees in one country. If this represents 28.2% of the company's employees, how many employees does it have in total
Triangle KLM and triangle PRS are similar right triangles.
M
s
R
Which proportion can be used to show that the slope of KM is equal to the slope of PS?
A
KL
LM
PR
RS
RS
B
LM
MK
C
ML
LK
=
A| B|8
PS
D
KL
Answer:
C
Step-by-step explanation:
Because my Math Teacher said so.
Answer:
D
Step-by-step explanation:
I Took The Test Just Now
(giving brainliest)
Two friends, Sophia and Ruby, took summer jobs. the equation y=23.9x represents ruby's earnings in dollars and cents, y, for working x hours. Sophia earned 1098.20 in 38 hours.
sophia earns $___ per hour (less/more) than ruby.
By performing some simple mathematical operations, we know that Sophia earns $366 per hour.
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations. Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction are the steps that we can remember in that order using PEMDAS (from left to right).So, to calculate how much Sophia earns in 1 hour:
Total earnings are 1098.20.Total working hours are 38.Now, calculate earnings per hour:
1098.20/38366.06Rounding off: $366
Therefore, by performing some simple mathematical operations, we know that Sophia earns $366 per hour.
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Complete question:
Two friends, Sophia and Ruby, took summer jobs. the equation y=23.9x represents ruby's earnings in dollars and cents, y, for working x hours. Sophia earned 1098.20 in 38 hours.
sophia earns $___ per hour
How do I solve this step by step:
In circle Q, with angle PQR=96, find the measure of angle PSR
The measure of the angle PSR is 48°.
Option A is the correct answer.
We have,
From the circle,
The central angle and the arc length intercepted is the same.
So,
Arc length PR = ∠PQR
So,
Arc length PR = 96
Now,
∠PSR is half the intercepted arc PR on the circle.
So,
∠PSR = 1/2 x 96 = 48
Thus,
The measure of the angle PSR is 48°.
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a rectangular room is 3 3 times as long as it is wide, and its perimeter is 56 56 meters. find the dimension of the room.
Consequently, the room has a 7 meter width. The room's length is
\(= 7 * 3 meters = 21 meters\)
What is rectangle?
A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
Given that the length of the rectangular space is three times its breadth
The chamber has a 56-meter perimeter.
Assume that the room's width is x.
As a result, the room is three times as long.
The room's perimeter is now equal to 2(3x + x).
\(Here, 2(3x + x) = 56\\ 2 * 4x = 56\\ 8x = 56\\ x = 7.\)
Consequently, the room has a 7 meter width.
The room's length is
\(= 7 * 3 meters\\= 21 meters\)
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Hi can someone please help me with question 4.
4. With the aid of examples, explain how the traditional system attempts to solve the three central economic questions.
The traditional economic system attempts to solve the three central economic questions through customs, traditions, and long-standing practices. These questions include what to produce, how to produce it, and for whom to produce. The system relies on the allocation of resources based on cultural norms, historical practices, and inherited roles within the society.
In a traditional economic system, the answers to the three central economic questions are derived from customs and traditions that have been followed for generations. Let's take a look at each question and how the traditional system addresses them:
What to produce:
In a traditional system, the choice of what to produce is guided by the needs and preferences of the community. Economic activities are often centered around meeting the basic necessities of life, such as food, clothing, and shelter. For example, a community engaged in agriculture may primarily produce crops and livestock to sustain themselves.
How to produce:
The traditional system relies on established methods and techniques that have been passed down through generations. Production methods are often based on the knowledge and skills of the community. For instance, traditional crafts and artisanal skills are practiced using traditional tools and techniques.
For whom to produce:
In a traditional system, the distribution of goods and services is typically based on social roles, kinship ties, and communal practices. Resources are shared within the community based on customs and traditions that prioritize the well-being and needs of the collective. For example, in some traditional societies, elders or leaders may receive preferential access to resources.
Overall, the traditional economic system seeks to address the three central economic questions by relying on cultural values, customs, and traditions that shape resource allocation, production methods, and distribution within the community.
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A student skipped a step when she tried to convert 18 hours into seconds, and she got the following incorrect result:

Answer:
She's, "HOT"!
Step-by-step explanation:
The first side of a triangle of a triangle is 2 longer than the second side. The third side is 5 shorter than twice the second side. The perimeter is 49m. Find the length of each side.
Answer:
First side is 15 m.
Second side is 13 m.
Third side is 21 m.
Step-by-step explanation:
Let x be the second side of the triangle = x
The first side of a triangle is 2 longer than the second side = x + 2
The third side is 5 shorter than twice the second side. = 2x - 5
Perimeter = 49 m
The formula for finding the perimeter of triangle is:
P = a + b + c
Put the values in the formula
49 = x + x + 2 + 2x - 5
49 = 4x - 3
Use APE or Addition Property of Equality
49 + 3 = 4x
52 = 4x
Use DPE or Division Property of Equality to find the value of x
\(\frac{52}{4} = \frac{4x}{4}\)
13 = x
Now put the value of x in the equation
First side( x + 2) = 13 + 2 = 15
Second side( x ) = 13
Third side (2x - 5) =
2(13) - 5
26 - 5
= 21
9 + 6 to the 2 pwer - 2 times 8
SOLUTION:
=) 9 + 6² - 2 × 8
=) 9 + 36 - 16
=) 45 - 16
=) 29
Will give brainliest
Answer:
AC = 4.7 feet
Step-by-step explanation:
cos 20° = x
5
5 · cos 20° = x
4.7 = x
9) A cow is tethered with a rope 20 ft long. What is the maximum area the cow can graze?
Answer:
If the rope is 20 ft long, then the maximum area the cow can graze is:
\(\pi \\\)r^2 square feet.
\(\pi\) is approximately 3.14, so that means we have: 3.14(20^2) = 1256 ft squared.
Thus, the maximum area that the cow can graze is 1256 ft squared.
Let me know if this helps!
The cow's maximum grazing area is 1256 ft squared. The grazing area is found as the area of the circle.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.
If the rope is 20 feet long, the cow can graze the following area:
A=πr²
A=3.14(20)²
A=1256 ft squared.
As a result, the cow's maximum grazing area is 1256 ft squared.
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Simplify the following expression. 2x^5+3x^3-5x^2+x^2+7x+1+7x^5-3x^3-4
Option (A) is the correct option and on simplifying the expression by combining like terms we get,
24 - 3p.
Here, we have,
Given, the expression 6(4 - 2p) + 9p
On simplifying, we get
24 - 12p + 9p
24 - 3p
So, on simplifying the given expression, we get
24 - 3p
Hence, Option (A) is the correct option and on simplifying the expression by combining like terms we get,
24 - 3p
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How much money must stemmer invest if he wants to buy a bicycle in cash after 5 years? The bank offers him an interest rate of 8.8% compounded yearly. He needs R6600 at the end of the period to buy the bicycle.
Answer:
4,329
Step-by-step explanation:
The computation of the amount invested is shown below:
As we know that
Present value = Future value ÷ (1 + interest rate)^years
= 6600 ÷ (1 + 0.088)^5
= 6600 ÷ 1.088^5
= 4,329
If dy/dt=f(t)g(y), the equilibrium solutions can be obtained by finding the solutions to f(t)=0
The statement "If dy/dt=f(t)g(y), the equilibrium solutions can be obtained by finding the solutions to f(t)=0" is not entirely correct.
In a differential equation of the form dy/dt = f(t)g(y), the equilibrium solutions are the constant solutions where dy/dt = 0. These occur when g(y) = 0.
To find the equilibrium solutions, we need to solve g(y) = 0. Once we have found these solutions, we can determine their stability by analyzing the sign of f(t) near these equilibrium values. If f(t) is positive near an equilibrium value, the solution is unstable (i.e., solutions near the equilibrium will move away from it). If f(t) is negative near an equilibrium value, the solution is stable (i.e., solutions near the equilibrium will move towards it).
So, while f(t) = 0 may be useful in some cases for finding equilibrium values, it is not the correct approach for finding all equilibrium solutions in a differential equation of the form dy/dt = f(t)g(y). The equilibrium solutions are found by solving g(y) = 0.
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someone please help. how would this be graphed??
Answer:
See picture
Step-by-step explanation:
according to the moral choices textbook, ethics refers to the actual content of right and wrong while morality refers to the process of determining right and wrong.
According to the moral choices textbook, ethics and morality are distinct but interconnected concepts. Ethics refers to the actual content of what is considered right and wrong within a particular moral framework or system. It deals with the principles, values, and standards that guide human behavior and decision-making.
Ethics provides a set of norms or rules that help individuals evaluate actions and determine their moral worth.
On the other hand, morality refers to the process of determining right and wrong. It encompasses the various factors, such as cultural, societal, and personal influences, that shape an individual's moral beliefs and judgments.
Morality is a dynamic and complex phenomenon that evolves over time and differs across cultures and individuals. It involves the consideration of various perspectives, reasoning, and critical thinking to arrive at moral conclusions.
While ethics focuses on the principles and rules that define right and wrong, morality encompasses the broader context in which ethical decisions are made.
It involves the examination of motives, intentions, consequences, and the moral responsibility of individuals. In essence, ethics provides the foundation for morality, and morality applies ethical principles in the real-world decision-making process.
It is important to understand the distinction between ethics and morality to engage in meaningful discussions and analyses of moral choices and ethical dilemmas.
By recognizing the content and process aspects of ethics and morality, individuals can better navigate complex moral landscapes and make informed decisions aligned with their values and principles.
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3x + 5y = 7
How to solve it
Answer:
x=1 and y=4/5
Step-by-step explanation:
Given system of equations
3x+5y=7
5x+10y=13
Multiply first equation by 2
2(3x+5y)=2(7)
6x+10y=14
Eliminate y-variable to get "x"
6x+10y=14
- 5x+10y=13
x = 1
Substitute x=1 into either equation and find "y"
3x+5y=7
3(1)+5y=7
3+5y=7
5y=4
y=4/5
Therefore, x=1 and y=4/5
Solve the two-step equation. − 2 3 x – 21 4 = 27 4 x =
Answer:
x = - 18
Step-by-step explanation:
Add the opposite of the constant on the left:
-2/3x = 21/4 +27/4 = 48/4 = 12
Multiply the equation by the inverse of the coefficient of x:
x = (-3/2)(12) = -18
The solution is x = - 18
Answer:
-18!
Step-by-step explanation:
Got it right on edge have a great day!
Mr. ross needed a box for his tools. he knew that the box had to be between 100 cubic inches and 150 cubic inches. which dimension shows the tool he can use
Mr. Ross can choose any dimensions for the length, width, and height as long as their product falls within the given volume range of 4 * 5 * 5 to 6 * 5 * 5 cubic inches.
To help you find the dimensions for Mr. Ross's tool box that can hold between 100 and 150 cubic inches, let's consider the following terms: volume, length, width, and height.
1. Volume: The space occupied by the tool box, which should be between 100 and 150 cubic inches.
2. Length, Width, and Height: The dimensions of the tool box that will determine its volume.
To find the dimensions for the tool box that meets Mr. Ross's requirements, we can use the formula for volume of a rectangular box:
Volume = Length × Width × Height
We need to find the Length, Width, and Height such that 100 ≤ Volume ≤ 150.
Unfortunately, without more specific information about the dimensions Mr. Ross prefers or the shape of the box, we cannot provide an exact set of dimensions. However, he can choose any dimensions for the length, width, and height as long as their product falls within the given volume range of 100 to 150 cubic inches.
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Solve 7x + 6<3(x - 2).
O [XIX<-3]
O {XIX < 0}
O {XIX<-2}
O [xlx>-3]
Step-by-step explanation:
X<-3 Inequality form , [XIX <-3]
Four notebooks cost $5.60. Antonio needs 5 notebooks. How much will 5 notebooks cost
Answer:
$7.00
Step-by-step explanation:
Answer:
$7.00
Step-by-step explanation:
$5.60/4 = $1.40
$1.40 x 5 = $7.00
Have a nice day
Let A=(a)nxn
be a square matrix with integer entries.
a) Show that if an integer k is an eigenvalue of A, then k divides the determinant of A.
b) Let k be an integer such that each row of A has sum k (ite.. Σ aj – k; 1 ≤ i ≤n), then
show that k divides the determinant of A. [SM]
a) If an integer k is an eigenvalue of a square matrix A with integer entries, then k divides the determinant of A.
b) If each row of a square matrix A has a sum of k, where k is an integer, then k divides the determinant of A.
a) To show that if k is an eigenvalue of A, then k divides the determinant of A, we can use the fact that the determinant of A is equal to the product of its eigenvalues.
Let λ be an eigenvalue of A with eigenvector v. We have Av = λv. Taking the determinant of both sides, we get det(Av) = det(λv). S
ince det(Av) = det(A)det(v) and det(λv) = λⁿ det(v), where n is the dimension of A, we can rewrite the equation as det(A)det(v) = λⁿ det(v). Since λ is an eigenvalue, det(v) ≠ 0, so we can divide both sides by det(v) to get det(A) = λⁿ. Since λ is an integer, it must divide the determinant of A.
b) If each row of A has a sum of k, we can write this condition as Σ aj - k = 0, where aj represents the elements of the ith row of A. This can be rewritten as Σ aj = nk, where n is the dimension of A.
Now, let's consider the matrix A - kI, where I is the identity matrix. Each row of A - kI has a sum of 0, which means that the sum of the elements in each column of A - kI is also 0.
This implies that the vector [1, 1, ..., 1] is an eigenvector of A - kI with eigenvalue 0.
Since the sum of the eigenvalues of A - kI is equal to the trace of A - kI, which is the sum of the diagonal elements, we have k as one of the eigenvalues.
Therefore, from part a), we know that k divides the determinant of A - kI. But since A - kI is similar to A, they have the same determinant. Thus, k divides the determinant of A.
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HELP PLEASE THIS IS DUE TODAY!
Answer:
13.76
Step-by-step explanation:
Find the area of the entire square (8 x 8 = 64)
Find the area of the circle (3.14 x 4^2 = 50.24)
Subtract the two (64 - 50.24 = 13.76)