Answer:
B
Step-by-step explanation:
The table tells us that when x=-1, y=5. This shows in graph B because it passes through the point (-1,5). The table also tells us that the curve passes through the origin, (0,0). Curve B is the only one that does.
I hope this helps!
(3,4)(4,-3)(7,4)(3,8)
Is it a function ?
Answer:
yes
Step-by-step explanation:
5 chocolates cost $15 what will 15 chocolates cost
Roselyn is driving to visit her family, which lives 150150150 kilometers away. Her average speed is 606060 kilometers per hour. The car's tank has 202020 liters of fuel at the beginning of the drive, and its fuel efficiency is 666 kilometers per liter. Fuel costs 0.600.600, point, 60 dollars per liter.
Answer:
see explanation (please confirm if I read you problem correctly)
Step-by-step explanation:
150 kilometers
60 kph
tank is 20 liters
6 km/l
150/6 = 25 liters needed
$60/l
you will need to get 5 more liters of fuel
total cost 25 x .60 = $15
Answer:
AHHHHH I think its two hours
Step-by-step explanation:
she...? can drive 120 Kilometers before she runs out of fuel since the car's tank has 20 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 kilometers per liter. and that means she can drive 2 hours
report error the side lengths of $\triangle abc$ are $6$, $8$, and $10$. what is the inradius of $\triangle abc$?
The inradius of the triangle of the given dimensions will be equal to the value 2.
To find the inradius of a triangle, we need to know the semi perimeter of the triangle, which is half of the perimeter. The perimeter of a triangle is the sum of the lengths of its sides. So, the semi perimeter of triangle ABC is (6+8+10)/2 = 12.
Now that we know the semi perimeter, we can use the formula for the inradius of a triangle:
inradius = √(s-a)(s-b)(s-c)/s
where a, b, and c are the lengths of the sides of the triangle and s is the semi perimeter.
Plugging in the values for a, b, c, and s, we get:
inradius = √(12-6)(12-8)(12-10)/12 = √(6)(4)(2)/12 = √48/12} = √4 = 2
Therefore, the inradius of triangle ABC is 2.
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need help with question 8
Answer:
Asnwer is in explanation
Step-by-step explanation:
f' (x) = 2x
Hope this helps!
A²,b²,c² are consecutive perfect squares.How many natura numbers are lying between a² and c², if a>0
Answer:
The quantity of natural numbers between \(a^{2}\) and \(c^{2}\) is \(2\cdot (a + b) + 1\).
Step-by-step explanation:
If \(a^{2}\), \(b^{2}\) and \(c^{2}\) are consecutive perfect squares, then both \(a\), \(b\) and \(c\) are natural numbers and we have the following quantities of natural numbers:
Between \(b^{2}\) and \(c^{2}\):
\(c^{2} = (b+1)^{2}\)
\(c^{2} = b^{2}+2\cdot b + 1\)
\(c^{2}-b^{2} = 2\cdot b + 1\)
And the quantity of natural numbers between \(b^{2}\) and \(c^{2}\) is:
\(c^{2}-b^{2}-1 = 2\cdot b\)
Between \(a^{2}\) and \(b^{2}\):
\(b^{2} = (a + 1)^{2}\)
\(b^{2} = a^{2} +2\cdot a + 1\)
\(b^{2}-a^{2} = 2\cdot a + 1\)
And the quantity of natural numbers between \(a^{2}\) and \(b^{2}\) is:
\(b^{2}-a^{2}-1 = 2\cdot a\)
And the quantity of natural numbers between \(a^{2}\) and \(c^{2}\) is:
\(Diff = 2\cdot a + 2\cdot b + 1\)
Please observe that the component +1 represents the natural number \(b^{2}\)
How do you do this- it’s homework
Answer:
n = 12
Step-by-step explanation:
I assume in problem 4 the relation between miles and hours is proportional.
Set up a proportion.
45 miles is to 4 hours as 135 miles is to n hours.
45/4 = 135/n
Cross multiply.
45n = 4 × 135
n = 4 × 3
n = 12
Answer:
12
Step-by-step explanation:
Because we can divide 45 and 4 and we get 11.25
Now we know that one hour is 11.25 miles. So just divide 135/11.25
and you get 12
im pretty sure thats the correct answer. Hope this helps
what is the role of the term average in statistics
The term "average" plays a fundamental role in statistics. It refers to a measure of central tendency that summarizes a set of data by representing a typical or representative value.
Calculation for the average of a set of numbers, follow these steps:
Add up all the values in the data set.
Division of the sum by the total number of values.
For example, consider the following data set: 10, 15, 20, 25, 30.
Sum all the values: 10 + 15 + 20 + 25 + 30 = 100.
Divide the sum by the total number of values: 100 / 5 = 20.
In this case, the average of the data set is 20.
The term average provides a concise summary of a data set by representing a typical value. It is calculated by adding up all the values and dividing the sum by the total number of values. The average is a fundamental statistical measure that helps in understanding and analyzing data in various fields such as economics, education, research, and many others.
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Out of 30 students in Mohammed's class, 40% are girls. How many are boys?
Answer:
18 boys
Step-by-step explanation:
30*0.4= 12
30-12=18
Solve negative one sixth times the quantity 3 minus 15 times the quantity one third squared end quantity end quantity.
two thirds
18 over 54
negative two ninths
negative two and 42 over 54
Negative one sixth times the quantity 3 minus 15 times the quantity one third squared end quantity end quantity will be C. negative two ninths
How to compute the expression?Based on the information given, the expression will be:
= 1/6 ×( 3 - 15 ) × (1/3)²
= -1/6 × -12 × 1/9
= -2 × 1/9
= -2/9
In conclusion, the correct option is D.
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investment after 20 years equals 130000. original investment was 50000. What was the interest rate?
Step-by-step explanation:
The formula states that
S. I=P*R*T/100
R=S. I*100/P*T
Simple Interest= Amount - principal
Simple Interest = 130000 - 50000
Simple Interest = 80000
R= 80000*100/50000*20
R= 800000/100000
R=8%
min ti x₁ = x₂-u x₂ = u -144²1 (x₁, x₂) arbitrary starting point. Let (0,0) be the Check whether situation (x₁, x₂)→ (0,0) shortest time is met. the beginning of the the coordinate. generality condition of the
It appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).
Here, we have,
given that,
min t_i
x₁ = x₂-u
x₂ = u
-1 ≤ u ≤ 1, (x₁, x₂) are arbitrary starting point.
and origin (0,0) be the begging of the coordinate.
also given that, (x₁, x₂)→ (0,0)
so, min t_i at origin (0,0) = t
Therefore, the generality condition of the situation does not met.
so, we get,
The given system can be represented by the following equations:
x₁' = x₂ - u
x₂' = u
To analyze the behavior of the system, we can examine the dynamics of each variable separately.
For x₁:
x₁' = x₂ - u
The equation implies that the rate of change of x₁ is dependent on x₂ and the input u. The term (-u) acts as a control input that can affect the dynamics of x₁. If we choose an appropriate control input u, we can manipulate the rate of change of x₁ and potentially minimize the time required to reach the origin.
For x₂:
x₂' = u
The equation for x₂ indicates that the rate of change of x₂ is solely determined by the input u. The variable x₂ can be directly controlled by the input u, allowing us to influence its behavior and potentially expedite convergence.
Based on the given equations, it appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).
By carefully selecting the control input, it is possible to achieve the shortest time to reach the origin from any arbitrary starting point (x₁, x₂).
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Reliable ______ are what make your research paper solid and strong. Make sure to find the best sources for your project.
Reliable sources are what make your research paper solid and strong.
Reliable sources are crucial in ensuring that your research paper is solid and strong. It is important to conduct thorough research and choose only the most credible sources to support your arguments and ideas. By utilizing high-quality sources, you can add depth and validity to your work, ultimately leading to a more impactful and successful paper.
A reliable source is America's Sunday morning talk show on CNN from 1992 to 2022, focusing on analysis and commentary on American media. It airs at CNN's WarnerMedia Studios in New York City from 11:00 AM to 12:00 PM ET. He also broadcasts internationally on CNN International.
This program was originally designed to analyze media coverage of the Persian Gulf War, but has since focused on media coverage of the Valerie Prime incident, the Iraq war, Mark Felt's trip as the Deep Throat, and many other things and internal information. On August 18, 2022, CNN canceled the show and host Brian Settler announced he was leaving the network. The final episode will air on August 21, 2022.
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The geometry of the clf3 molecule is best described as
a. distorted tetrahedral.
b. tetrahedral.
c. trigonal pyramidal.
d. trigonal planar.
e. t-shaped.
Answer:
The right option is option e.T-shaped.
Step-by-step explanation:
The molecular geometry or shape of clf3 is T-shaped. It acquires such shape because of presence of two lone pairs which take equatorial position and there are greater repulsions. The hybridisation is sp3d and it has 2 lone pairs
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Option e) T-shaped
Hybridization in chemistry is defined as the concept of mixing two atomic orbitals to create a new type of hybridized orbital. This mixing often leads to the formation of hybrid orbitals of different energies, shapes, etc. completely different. During hybridization, atomic orbitals of equivalent energies are mixed and mainly involves the fusion of two "s" or two "p" orbitals, or the mixing of "s" orbitals with the "p"" orbitals as well as "s` orbitals with `d` orbitals. The newly formed orbitals are called hybrid orbitals.The shape or molecular geometry of ClF₃ is T-shaped. It acquires such a shape due to the presence of two lone pairs in the equatorial position and has greater repulsion. The hybrid is sp³d and it has 2 lone pairs.
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plz help
What is the solution set for the inequality
2x + 5 ≥ 15
Answer:
\(x\geq 5\)
Step-by-step explanation:
Answer:
X \(\geq\) 5
The perimeter of a rectangular ink pad is 28 centimetres. The area is 40 square centimetres. What are the dimensions of the ink pad
The area of the rectangle in terms of b is 11b - b², and the perimeter is always 22, regardless of the value of b.
What is rectangle?A rectangle is a four-sided flat shape with opposite sides that are equal in length and parallel to each other. It has four right angles (90-degree angles) at each corner. The two sides that are parallel to each other are called the length, and the other two sides are called the width.
The area of a rectangle is found by multiplying its length and width, and its perimeter is the sum of the lengths of all four sides. Rectangles are common in everyday life and can be found in many different contexts, such as books, doors, windows, and electronic screens.
According to given information,
Let's assume that the length of the rectangle is 'l' and the width is 'b'.
The area of a rectangle is given by the formula A = lb, where A is the area, l is the length, and b is the width.
The perimeter of a rectangle is given by the formula P = 2(l + b), where P is the perimeter, l is the length, and b is the width.
So, the area of the rectangle is:
A = lb = 28
And the perimeter of the rectangle is:
P = 2(l + b) = 40
P = (l+b) = 20
l= 20 -b
Now, we can substitute l = 20 - b into these formulas:
A = (20 - b)b
P = 2(20 - b + b)
Simplifying, we get:
A = 40b - b²
P= 40
So, the area of the rectangle in terms of b is 11b - b², and the perimeter is always 22, regardless of the value of b.
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The length of the rectangle is 10 cm and breadth of the rectangle is 4 cm.
What is rectangle?
A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
The longer parallel sides are called length(l) and two shorter sides are called breadth(b).
Perimeter of a rectangle is 2(l+b).
Area of rectangle is l*b.
2(l+b)=28
L+b=28/2=14
L=14-b .....eq(1)
L*b=40
(14-b)b=40
14b-b^2=40
b^2-14b+40=0
b^2-10b-4b+40=0
b(b-10)-4(b-10)=0
(b-10)(b-4)=0
Either b=10 or b=4
If b=10 then l =4 but length can't be shorter than the breadth so b=4cm and l=10 cm is the answer.
If the ratio of plums to peaches to kiwis is 10:4:5, how many plums are there if the total number of fruits is 190?
Answer:
The answer is 100:40:50
Answer:
131 plums
Step-by-step explanation:
The fraction of plums = 10/(10+4.5)
= 10/14.5
= 100/145
So the required number of plums = 100 * 190 /145
= 131.
Solve the system of equations below using a method of your choosing.
Answer:
\(x=5\)
Step-by-step explanation:
Since we are given what y is, we can plug y into the second equation down below to work with one variable:
\(2x+3(4x-22)=4\)
\(2x+12x-66=4\)
\(14x-66=4\)
\(14x=4+66\\14x=70\\x=5\)
Find the amount to which $800 will grow under each of these conditions: a. 8% compounded annually for 9 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ b. 8% compounded semiannually for 9 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ C. 8% compounded quarterly for 9 years. Do not round intermediate calculations. Round your answer to the nearest cent. d. 8% compounded monthly for 9 years. Do not round intermediate calculations. Round your answer to the nearest cent. $ e. 8% compounded daily for 9 years. Assume 365-days in a year. Do not round intermediate calculations. Round your answer to the nearest cent. $ f. Why does the observed pattern of FVs occur?
The amount to which $800 will grow under each of the given conditions increases as the compounding period decreases.
The amount to which $800 will grow under each of these conditions is as follows:a) 8% compounded annually for 9 years
When compounded annually for 9 years at 8%, the formula is: Amount = Principal x [(1 + rate/n)^(n*t)]
Where: Principal = $800 Rate = 8% Time = 9 years
Compounded annually = n = 1 Amount = $1,447.91 (rounded to the nearest cent)
b) 8% compounded semiannually for 9 years Compounded semiannually for 9 years at 8%, the formula is:
Amount = Principal x [(1 + rate/n)^(n*t)]
Where: Principal = $800 Rate = 8% Time = 9 years Compounded semiannually = n = 2 Amount = $1,471.16 (rounded to the nearest cent)
c) 8% compounded quarterly for 9 years Compounded quarterly for 9 years at 8%, the formula is:
Amount = Principal x [(1 + rate/n)^(n*t)]
Where: Principal = $800 Rate = 8% Time = 9 years Compounded quarterly = n = 4 Amount = $1,491.03 (rounded to the nearest cent)
d) 8% compounded monthly for 9 years Compounded monthly for 9 years at 8%, the formula is: Amount = Principal x [(1 + rate/n)^(n*t)]
Where: Principal = $800 Rate = 8% Time = 9 years Compounded monthly = n = 12 Amount = $1,505.91 (rounded to the nearest cent)
e) 8% compounded daily for 9 years Compounded daily for 9 years at 8%, the formula is:
Amount = Principal x [(1 + rate/n)^(n*t)]
Where: Principal = $800 Rate = 8% Time = 9 years Compounded daily = n = 365Amount = $1,511.74 (rounded to the nearest cent)
The observed pattern of FVs (future values) occurs due to compounding. Compounding is the process of earning interest not only on the principal amount invested but also on the interest earned from the principal. This results in an increase in the interest earned and the future value of the investment. The more frequent the compounding, the higher the future value of the investment. Hence, the amount to which $800 will grow under each of the given conditions increases as the compounding period decreases.
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Use the substitution method to solve the following pairs of simultaneous
equations.
a. x = 8-3y, 2x + 5y = 13,
Answer: x= , y=
Answer:
Step-by-step explanation:
2x+5y = 13
2(8-3y)+5y =13
16-6y+5y = 13
y=3
x =8-3y = -1
an equation of the line normal to the graph of y=x^3+3x^2+7x-1
this equation is only valid at the point (a, b) where we found the slope of the normal line. To find the equation of the normal line at a different point, we would need to repeat this process with new values of a and b.
To find the equation of the line normal (perpendicular) to the graph of y = x^3 + 3x^2 + 7x - 1 at a point (a, b), we need to determine the slope of the normal line at that point.
The slope of the tangent line to the curve at (a, b) is given by the derivative:
f'(x) = 3x^2 + 6x + 7
So the slope of the tangent line at x = a is:
m = f'(a) = 3a^2 + 6a + 7
The slope of the normal line is the negative reciprocal of the slope of the tangent line, so:
m_n = -1/m = -1/(3a^2 + 6a + 7)
Now we have the slope of the normal line at (a, b), and we just need to find the equation of the line in point-slope form, using the point (a, b):
y - b = m_n(x - a)
Substituting the expression for m_n, we get:
y - b = (-1)/(3a^2 + 6a + 7)(x - a)
Multiplying both sides by 3a^2 + 6a + 7 to eliminate the fraction, we get:
(3a^2 + 6a + 7)(y - b) = -(x - a)
Expanding and rearranging, we get the equation of the line normal to the graph of y = x^3 + 3x^2 + 7x - 1 at (a, b):
(3a^2 + 6a + 7)y = -x + (3a^2 + 6a + 7)b + a
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james scored 182 points while playing a video game. he scored 7 times as many points as jada many points did jada score?
By solving the equation, we conclude that Jada scored approximately 26 points in the video game.
What is equation?
An equation is a mathematical statement that indicates the equality of two expressions. It consists of mathematical symbols, variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation.
To find out how many points Jada scored, we need to divide James' score by the factor by which James outscored Jada.
Given that James scored 182 points and he scored 7 times as many points as Jada, we can set up the following equation:
James' score = Jada's score * 7
182 = Jada's score * 7
To find Jada's score, we can divide both sides of the equation by 7:
182 / 7 = Jada's score
Jada's score ≈ 26
Therefore, Jada scored approximately 26 points in the video game.
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Define carefully the following terms
I. Simultaneous equations system
II. Exogenous variables
III. Endogenous variables
IV. Structural form model
V. Reduced form model
In conclusion, a simultaneous equations system involves solving multiple equations together, exogenous variables are independent, endogenous variables are dependent, a structural form model represents causal relationships, and a reduced form model simplifies the relationships between variables.
I. Simultaneous equations system refers to a set of equations where multiple unknown variables are solved simultaneously. These equations are interdependent and must be solved together.
II. Exogenous variables are independent variables in a statistical or economic model. They are not influenced by other variables in the model and are often determined outside the system being analyzed.
III. Endogenous variables, on the other hand, are dependent variables in a statistical or economic model. They are influenced by other variables in the model and are determined within the system being analyzed.
IV. Structural form model is a representation of a system that shows the relationships between endogenous and exogenous variables. It describes the underlying theory or causal relationships between variables.
V. Reduced form model is a simplified version of the structural form model, where all variables are expressed as functions of exogenous variables. It focuses on the relationships between endogenous variables without considering the underlying theory or causality.
In conclusion, a simultaneous equations system involves solving multiple equations together, exogenous variables are independent, endogenous variables are dependent, a structural form model represents causal relationships, and a reduced form model simplifies the relationships between variables.
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Which one is it please help thank you.
The students who attend Memorial High School have a wide variety of extra-curricular activities to choose from in the after-school program. Students are 38% likely to join the dance team; 18% likely to participate in the school play; 42% likely to join the yearbook club; and 64% likely to join the marching band. Many students choose to participate in multiple activities. Students have equal probabilities of being freshmen, sophomores, juniors, or seniors. If Event A = sophomore or junior, what is Event A'?
Event A' has a probability of 50% (25% for freshmen + 25% for seniors).
To determine Event A', we need to first identify what Event A represents. Event A is the probability that a student is a sophomore or junior. Since students have equal probabilities of being freshmen, sophomores, juniors, or seniors, the probability of Event A is 50% (25% for sophomores + 25% for juniors).
Event A' is the complement of Event A, which means it includes the other two grade levels not included in Event A, in this case, freshmen and seniors. Therefore, Event A' is the probability that a student is a freshman or a senior. Since students have equal probabilities of being in each grade level, Event A' also has a probability of 50% (25% for freshmen + 25% for seniors).
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. Phillip spent $7.84 on apples at the grocery store. If he bought 2.3 pounds of apples on Monday
nd 1.2 pounds of apples on Tuesday, how much did pay per pound? (4 points)
The price of a video game was reduced from $70.00 to $40.00. By what percentage was the price of the video game reduced?
Evaluate ∫∫S sqrt(1+x2+y2)dS where S is the helicoid: r(u,v)=ucos(v)i+usin(v)j+vk, with 0 ≤ u≤ 3,0 ≤ v ≤ 2π
Integrating with respect to u first ∫∫S √(1 + x² + y²) dS = ∫[0 to 2π] ∫[0 to 3] (u√(2u² + 1)) du dv integral the final numerical value of the surface integral over the helicoid S.
To evaluate the surface integral ∫∫S √(1 + x² + y²) dS over the helicoid S given by r(u,v) = ucos(v)i + usin(v)j + vk, with 0 ≤ u ≤ 3 and 0 ≤ v ≤ 2 use the surface area element dS and express it in terms of u and v.
The surface area element dS for a parametric surface given by r(u,v) = x(u,v)i + y(u,v)j + z(u,v)k is calculated as follows:
dS = |∂r/∂u x ∂r/∂v| du dv
Let's find the partial derivatives of r(u,v) with respect to u and v:
∂r/∂u = cos(v)i + sin(v)j + k
∂r/∂v = -usin(v)i + ucos(v)j
Taking the cross product of these partial derivatives:
∂r/∂u x ∂r/∂v = (cos(v)i + sin(v)j + k) x (-usin(v)i + ucos(v)j)
= (-u cos²(v) - u sin²(v))i + (-u cos(v)sin(v) + u cos(v)sin(v))j + (cos²(v) + sin²(v))k
= -u(i + j) + k
Now, calculate the magnitude of ∂r/∂u x ∂r/∂v:
|∂r/∂u x ∂r/∂v| = √((-u)² + (-1)² + 0²)
= √(u² + 1)
the surface area element expressed in terms of u and v:
dS = √(u² + 1) du dv
Finally, set up the integral:
∫∫S √(1 + x² + y²) dS = ∫∫R √(1 + (ucos(v))² + (usin(v))²) √(u² + 1) du dv
where R is the region in the u-v plane corresponding to the given bounds.
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make multiplying and dividing rational numbers worksheet?
Multiplication and division of regular numbers are the same as fractions and we will learn them with the multiplication and division of rational numbers worksheet.
To do the multiplication, first find the greatest common divisor of the numerator and the denominator. The factors are then grouped together so that the score equals one. Then multiply by the remaining factors. To divide, first rewrite the division as multiplication by the inverse of the denominator.
Cuemath's interactive math worksheets contain visual simulations to help your child visualize the concepts being taught, "see things as they really are, and reinforce learning from them". The Rational Numbers Multiplication and Division Worksheet follows a step-by-step learning process that helps students better understand concepts, identify errors, and eventually develop strategies for solving future problems.
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What is 1.625 rounded to the nearest tenth.
Answer:
1.6
Step-by-step explanation
2 is les than 5 so you round down
Solve for x
Please help
Answer:
x=8
Step-by-step explanation:
I believe those are alternate anterior angles which means they are congruent (equal measure). You set them up equal to each other.