The equation is $1.75+$0.85m= $8.75, after solving the value m =8.24 miles.
What is equation?An algebraic expression contains one or more variables along with numbers show the equality among them.
Why we use equation?we use equation to determine an unknown value. we create equation based on a mathematical statement and finally solve it.
The following is the solution of equation of the statement given in question.
Given, fee per mile = $0.85
Charges = $1.75
Total cost of ride = $8.75
let, m is the number of miles travelled
Now, the equation is $1.75+$0.85m = $8.75
after solving 0.85m = 7.00
m = 8.24 miles
hence, the Uber travelled 8.24 miles
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15 circles are cut-out of a rectangle with a length of 10 inches and a height of 6 inches. the circles are side by side. for a class project, a teacher cuts out 15 congruent circles from a single sheet of paper that measures 6 inches by 10 inches. how much paper is wasted? (60 – 15π) square inches 15π square inches 45 square inches (60 – π) square inches
Answer:
\(60-15\pi\) square inches
Step-by-step explanation:
The area of the paper is \((6)(10)=60\) square inches.
The area of one circle is \(\pi(1^2)=\pi\). So, the combined area of the circles is \(15\pi\).
Taking the difference yields \(60-15\pi\).
Answer: its A
Step-by-step explanation:
edge 2023
a person eating at a cafeteria must choose 4 of the 19 vegetables on offer. calculate the number of elements in the sample space for this experiment.
In an experiment where a person eating at a cafeteria choose 4 out of the 19 vegetables on offer, the number of elements in the sample space is 3876.
A sample space of an experiment is the set of all possible outcomes of a random experiment. So the number of elements in a sample space is the total number of possible outcomes of the experiment.
Here the experiment is choosing 4 vegetables from a set of 19 vegetables offered. The total number of ways to choose 4 out of 19 distinct vegetables = 19C4
= 19! / (4! × (19-4)!)
= 3876
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a circle has a radius of $25.$ a circular sector, with an angle of $345.6^\circ$ at the center, is cut from the circle, and then rolled to form a cone. find the volume of the cone.
The volume of the cone is 97225.52 cubic units.
We have A circle that has a radius of 25.
A circular sector with an angle of 345.6° at the center is cut from the circle and then rolled to form a cone.
The volume of the cone = 1/3 πr²h
Where, r = radius of the base of the cone
h = height of the cone
The radius of the base of the cone = 25
Height of the cone: When the sector is rolled to form a cone, the sector's arc becomes the base's circumference. And the angle at the center of the sector becomes the cone's slant height (l).
Converting degree to radian: 1 radian = 180/π degree
1 degree = π/180 radian
345.6° = 345.6 × π/180
radian= 6.03 radian
Slant height (l) = rθ
l = 25 × 6.03
l = 150.75 units
Now, h² = l² - r² ⇒ 150.75² - 25² ⇒ 22100.5625
h = √(22100.5625) ⇒ 148.6625
The volume of the cone= 1/3 πr²h ⇒ 1/3 × π × 25² × 148.625 ⇒ 97225.52 cubic units
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1) if i gave 1/8 of my money to my sister and 2/3 of my money to my brother, how much money do I have left, if I started out with $12?
Answer:
$2.50
Step-by-step explanation:
x/7 ≥ − 6=============
The range of value of x in the inequality x/7 ≥ -6 is x≥ -42
What is inequality?Inequality, is a statement of an order relationship. Some terms used in inequality are ,greater than, greater than or equal to, less than, or less than or equal to. They are used between two numbers or algebraic expressions.
greater than has the sign >
greater than or equal to has the sign ≥
less than has the sign < and
less than or equal to has ≤
solving the range of value of x in the inequality x/7 ≥- 6
multiply both sides by 7
x ≥ -42
Therefore the range of value of x is x ≥ -42
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PLEASE HELP URGENT!!
An irregular polygon is shown below:
A: 21 Square Inches
B: 22 Square Inches
C: 26 Square Inches
D: 29 Square Inches
Answer:
\(26\:\mathrm{in^2}\)
Step-by-step explanation:
The irregular polygon is made of a large rectangle with two smaller rectangles cut out of it. Therefore, we can find the area of the large rectangle and subtract these two smaller rectangles:
\(10\cdot 5-2\cdot3\cdot4=50-24=\fbox{$26\:\mathrm{in^2}$}\).
A company had returns of 5%, 10%, -15%, 20%, -12%, 22%, 8% in
the last few years. Compute the arithmetic average return,
geometric average return, variance, and standard deviation of
returns.
Refer to
Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.
Given, Returns of the company for the last few years are 5%, 10%, -15%, 20%, -12%, 22%, 8%
Arithmetic Average return:
Arithmetic Average return = (sum of all returns) / (total number of returns)
Arithmetic Average return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Therefore, the arithmetic average return of the company is 2.57%.
Geometric average return:
Geometric average return = [(1+R1) * (1+R2) * (1+R3) * …….. * (1+Rn)]1/n - 1
Geometric average return = [(1.05) * (1.1) * (0.85) * (1.2) * (0.88) * (1.22) * (1.08)]1/7 - 1= 0.13
Therefore, the geometric average return of the company is 13%.
Variance:
Variance = (sum of (return - mean return)2) / (total number of returns)
Mean return = (5 + 10 - 15 + 20 - 12 + 22 + 8) / 7= 18 / 7= 2.57
Variance = [(5-2.57)2 + (10-2.57)2 + (-15-2.57)2 + (20-2.57)2 + (-12-2.57)2 + (22-2.57)2 + (8-2.57)2] / 7= 392.12 / 7= 56
Therefore, the variance of the company is 56.
Standard Deviation:
Standard Deviation = Square root of Variance
Standard Deviation = √56= 7.48
Therefore, the standard deviation of the company is 7.48%.
Thus, Arithmetic average return of the company is 2.57%.Geometric average return of the company is 13%.Variance of the company is 56.Standard deviation of the company is 7.48%.
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Equations:Question 3 A car dealership offers 6-year loans at 4% interest compounded annually. Alice wants to buy a car for $150 per month with $4,000 down payment. How could she determine the most expensive car she could choose? Select one: O O Multiply $150 by 72 months, and then add $4,000. O Take 4% of the price of the car and then multiply by $150 O Add $4,000 to 496 of the car's pnce and divide by $150 O Keep subtracting $4,000 from the price until the monthly payments she calculates is less than $150
Answer:
Divide your interest rate by the number of payments you'll make in the year (interest rates are expressed annually). ...
Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.
Step-by-step explanation:
Divide your interest rate by the number of payments you'll make in the year (interest rates are expressed annually). ...
Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.Divide your interest rate by the number of payments you'll make in the year (interest rates are expressed annually). ...
Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.Divide your interest rate by the number of payments you'll make in the year (interest rates are expressed annually). ...
Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.Divide your interest rate by the number of payments you'll make in the year (interest rates are expressed annually). ...
Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.Divide your interest rate by the number of payments you'll make in the year (interest rates are expressed annually). ...
Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.
1+6 plz helpppppppppppppp
Answer:
7
Step-by-step explanation:
Quick!!!
Consider the function g.
For the x-values given in the table, determine the corresponding values of g(x) and plot each point on the graph.
(G)= -3(1/2)^x
x -2 -1 0 1
g(x)
A function assigns the values. The graph can be plotted as shown below.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the function, g(x) = -3(1/2)ˣ, therefore, the value of g(x) can be written as,
g(x) = -3(1/2)ˣ
g(-2) = -3(1/2)² = -0.75
g(-1) = -3(1/2)¹ = -1.5
g(0) = -3(1/2)⁰ = -3
g(1) = -3(1/2)¹ = -1.5
Hence, the graph can be plotted as shown below.
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all 3 pls it would help Options:Not a polygonConvex polygonConcave polygon
The shape is polygon if it closed by by finite number of side.
So circle is not a polygon.
The polygon is convex if all the interior angle of polygon is less than 180 degree and polygon is concave if any one angle is greater than 180 degree.
The second shape is closed by finite number of side and all the interior angles are less tha 180 degree so it is conved polygon.
The third shape is also closed by finite number of side but two of interior angle is more than 180 degree so shape 3 is concave polygon.
Answers:
Shape 1: Not a polygon.
Shape 2: Convex polygon
Shape 3" Concave polygon.
we see that the first term does not fit a pattern, but we also see that f^{(k)}(1) =______ for k>1. hence we see that the taylor series for f centered at 1 is given by f(x) = 12 + Σ^[infinity]_k+1 _____ (x-1)^k
The coefficient of \((x - 1)^k\) in the Taylor series for f(x) centered at 1 is (-1/2) for k > 1 and \(f^{(k)}(1) = -k!/(2^k)\) for k > 1
What is coefficient?
In mathematics, a coefficient is a numerical or constant factor that is applied to a variable or term. Coefficients are used in various mathematical contexts, including algebra, calculus, and statistics.
Since the first derivative of f(x) is \(f'(x) = -1/(x^2 * \sqrt{(x^2 - 1)})\), we have f'(1) = -1/0, which is undefined. Hence, we cannot use the Taylor series formula for f(x) centered at 1 directly.
However, we are given that \(f^{(k)}(1) = -k!/(2^k)\) for k > 1. Using this information, we can write the Taylor series formula for f(x) centered at 1 as:
\(f(x) = f(1) + f'(1)(x - 1) + (1/2!)f''(1)(x - 1)^2\)\(+$\sum_{k=2}^{\infty} \frac{1}{k!}f^{(k)}(1)(x-1)^k$\)
Substituting f(1) = 1/2 and f'(1) = -1/2, we get:
\($f(x) = \frac{1}{2} - \frac{1}{2}(x-1) + \frac{1}{2!} \left(-\frac{2}{2^2}\right) (x-1)^2 + \sum_{k=2}^{\infty} \frac{1}{k!} \left(-\frac{k!}{2^k}\right) (x-1)^k$\)
Simplifying the expression, we get:
\($f(x) = \frac{1}{2} - \frac{1}{2}(x-1) - \frac{1}{4}(x-1)^2 + \sum_{k=2}^{\infty} \left(-\frac{1}{2}\right)(x-1)^k$\)
Hence, the coefficient of \((x - 1)^k\) in the Taylor series for f(x) centered at 1 is (-1/2) for k > 1.
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Which inequality describes the graph?
Answer:
y >_ 2x-2
the 3rd one
Step-by-step explanation:
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
PLZ HELP ILL GIVE BRAIN LIST which are a function is which are not
Answer:
1. function
2. function
3. not a function
Step-by-step explanation:
Mary deposits $260.00 into a new savings account.
The account earns 2.5% simple interest per year. No
money is added or removed from the account for
5 years. What is the total amount of money in her
savings account at the end of the 5 years?
A) $292.50
C) $65.00
D) $325.00
B) $32.50
Answer:
A
Step-by-step explanation:
To solve this problem, we need to first find out how much interest the account earns each year. If the account earns 2.5% simple interest per year, and it starts with an initial balance of $260, then the interest earned each year is 0.025 * $260 = $6.50.
Over 5 years, the account will earn a total of 5 * $6.50 = $<<5*6.5=32.50>>32.50 in interest.
To find the total amount of money in the account at the end of the 5 years, we need to add the interest earned to the initial balance of the account. The total amount of money in the account will be $260 + $32.50 = $<<260+32.5=292.50>>292.50.
Therefore, the total amount of money in the account at the end of the 5 years is $292.50.
Answer:
A) $292.50
Step-by-step explanation:
Simple Interest Formula
A = P(1 + rt)
where:
A = Final amountP = Principal amountr = Interest rate (in decimal form)t = Time (in years)Given:
P = $260.00r = 2.5% = 0.025t = 5 yearsSubstitute the given values into the formula and solve for A:
⇒ A = 260(1 + 0.025 · 5)
⇒ A = 260(1 + 0.125)
⇒ A = 260(1.125)
⇒ A = 292.50
Therefore, the total amount of money in her savings account at the end of 5 years is $292.50.
How do you find the rational function of a graph?.
Before graphing a given rational function, it is occasionally necessary to simplify it. If, other than at asymptotes, there are any excluded values then graphing the function requires an additional step.
The function y=f(x), where f(x) is a rational expression, is the formula for a rational function.
Drawing the graphs of the rational functions might be challenging. Finding the asymptotes and intercepts is a good place to start when attempting to sketch a graph of a rational function.
The steps in graphing rational functions are as follows:
Find the rational function's asymptotes, if any exist.
Create dotted lines for the asymptotes.
Find the rational function's x-intercept (s) and y-intercept, if any.
For various x values, determine the values of y.
Plot the spots and then create a straight line to connect them and check to see if the graph crosses the vertical asymptotes.
Make sure the function is not a continuous smooth curve at the excluded value if you want to portray an undefined function. Typically referred to as the "hole in the rational function," this excluded value
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FILL in the blank:AB E M nxn (R) (i) det (A.B) = ____________ . (ii) A is invertible if and only if _____________ .
Answer:
For square matrices A and B of equal size, the determinant of a matrix product equals the product of their determinants: det (A.B) = det (A) det (B) 1. A is invertible if and only if its determinant is nonzero 1.
Step-by-step explanation:
How many solutions does this system have? 5y = x - 9 4x - 10y = 18
plzzz i need answer now
l o l
o k
s o
5x=x-9 and 4x-10y=8
lets graph that on desmos cause I'm too lazy to subsitute it .
it has one answer
place the publication of three major books on race in chronological order, from earliest to most recent. Start by clicking the first item in the sequence or dragging it here Drag the items below into the box above in the correct order, starting with the first item in the sequence. Tomas Almaguer wrote about historical race relations in California in Racial Fault Lines Michael Omi and Howard Winant wrote about the social construction of race in Racial Formation in the United States. Ta-Nehisi Coates wrote about race and the African American experience in Between the World and Me.
The publication of three major books on race in chronological order, from earliest to most recent is:
- Micheal Omi and Howard Winant wrote about the social construction of race in Racial Formation in the United States.- Tomas Almaguer wrote about historical race relations in California in Racial Fault Lines.- Ta- Nehisi Coates wrote about race and the African American experience in Between the World and Me.Chronological order is the listing, description, or discussion of when events occurred in relation to time. Essentially, it is similar to looking at a chronology to see what happened initially and what happened after that. For example, if teachers asked their pupils to recount their first day of school, they would expect students to begin by waking up that morning and getting ready. If pupils begin from the time they enter the school, significant information is lost and the listener may become confused due to a lack of knowledge.
Helping pupils grasp what chronological order is and how to use the skill correctly can benefit students ranging from kindergarten to collegiate levels. The concept may appear simple, yet failing to master chronological sequence can cause kids to struggle academically and lack a solid educational foundation.
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3(2x+1) = 5(x-4)
pls help asap
Answer:
\(3(2x + 1) = 5(x -4) \\ 6x + 3 = 5x - 20 \\ 6x - 5x = - 3 - 20 \\ \boxed{x = - 23}\)
x= -23 is the right answer.625=5^(7x-3) what is x
\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)
Can someone tell me how to this or give me the answer to find out how to do this?
Answer:
use pythagorean theorem on the lower tri to find its hypotenuse and apply the theorem again to find the base of the upper tri....
Find the area of the shaded sectors. Round to one decimal place. EB = 10,4 A=4
360
A
D
A=(
E
143
B
C
The answer of the given question based on finding the area of the shaded sectors the answer is approximately 18.8 + 4.2 = 23.0 square units.
What is Angle?An angle is geometric figure formed by the two rays or lines that share common endpoint, called vertex. The rays or lines are often referred to as arms or sides of angle
We need to know the central angles of each sector. We can find these angles by using the formula:
angle = (arc length / radius) * (180/π)
where π is pi, approximately equal to 3.14.
Therefore, we can use trigonometry to find angle EOB:
sin(EOB) = EB/OA
sin(EOB) = 10.4/8
EOB = sin^-1(10.4/8)
EOB ≈ 56.7° degrees
Since angle EOA is a right angle, we know that angle AOB is 90° degrees, so angle AOE is 90 - EOB = 33.3° degrees.
Now, we can find the area of each sector using the formula:
area = (angle/360) * π * r²
Area of shaded sector ADE:
angle AOE = 33.3° degrees
radius = OA = 8
area = (33.3/360) * π * 8²
area ≈ 18.8 square units
Area of shaded sector EBC:
angle EOB = 56.7° degrees
radius = EB/2 = 5.2
area = (56.7/360) * π * 5.2²
area ≈ 4.2 square units
Therefore, the total area of the shaded sectors is approximately 18.8 + 4.2 = 23.0 square units.
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What is the equation of the line?
A: y = -4/5x + 3/2
B: y = -5/4x + 5/4
C: y = -4/5x + 5/4
D: y = -5/4x + 3/2
Answer:
A: y = -4/5x + 3/2 i believe is the correct answer
Step-by-step explanation:
question 2.
the center of a circle is located at (5,2) and a point in the circle is (-3,4) what is the radius of the circle?
Answer:
ss
Step-by-step explanation:
sas
The radius of the circle who center is at ( 5 , 2 ) and the point on the circle is ( -3 , 4 ) is given by r = 2√17 units
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the radius of the circle be r
Let the center of the circle be A ( 5 , 2 )
Let the point on the circle be P ( -3 , 4 )
Now , standard form of a circle is
( x - h )² + ( y - k )² = r²
So , r² = ( 5 - ( -3 ) )² + ( 2 - 4 )²
On simplifying the equation , we get
r² = ( 8 )² + ( 2 )²
r² = 64 + 4
r² = 68
Taking square roots on both sides , we get
r = √68
r = 2√17
Hence , the radius of the circle is 2√17 units
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Find the value of f(-3).
The value of f(-3) in the function is -3
How to evaluate the function?The graph represents the given parameter
From the graph, we have the function to be
Function = f(x)
This means that the value of x in f(-3) is
x = -3
So, we look up to the function value when x = -3
On the graph, we have
f(x) = -3 when x = -3
Hence, the value is -3
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help please! what does x equal
Answer: 52
Step-by-step explanation:
Hi can u help me with this
Answer:
it's D, 27
Anything in the middle would be both so just add only the yellow and red numbers, not orange
Here is a pattern of squares. The equation represents the number of small squares in the pattern of n, the step number
n²+2 is the equation that represents this pattern.
What is General intelligence?
General intelligence in mathematics refers to the ability to reason logically, solve problems, and understand abstract concepts in the field of mathematics. It is often referred to as mathematical intelligence or mathematical aptitude.
People with strong mathematical intelligence have the ability to think logically, identify patterns and relationships, and apply mathematical concepts to solve complex problems. They can quickly grasp mathematical concepts and principles, and are able to use mathematical reasoning to analyze data, make predictions, and draw conclusions.
However, it's important to note that mathematical intelligence is just one aspect of intelligence, and does not necessarily predict success in other areas of life. It is possible for someone to excel in mathematics while struggling in other areas, or vice versa.
Moreover, the concept of general intelligence itself has been a subject of debate among psychologists, with some arguing that it is a single, overarching ability, while others argue that intelligence is made up of multiple, more specific abilities.
Here we have total four patterns.
First pattern has 3 square, second has 6 squares , third has 11 squares and 18 squares.
Our first option is 3n.
If we will put n = 1,2,3,4 then we will get 3,6,9,12 respectively.
Our second option is n²+2.
If we will put n = 1,2,3,4 then we will get 3,6,11,18 respectively.
Our third option is n²+4.
If we will put n = 1,2,3,4 then we will get 5,8,13,20 respectively.
And our fourth option is 4n+3
If we will put n = 1,2,3,4 then we will get 7,11,15,19 respectively.
Therefore, second option is the correct option.
So, n²+2 is the equation that represents this pattern.
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*PLEASE ANSWER I DONT GET IT*
What is a deduction?
a.) An allowance you can use for tax purposes.
b.) Money that you have to pay for Medicare.
c.) Part of your salary.
Answer:
A
Step-by-step explanation:
im pretty sure im right
Answer:
c.) Part of your salary.
Step-by-step explanation: