Answer:
P = 35x + 18(110-x) = 17x + 1980
Step-by-step explanation:
What must be a factor on the polynomial Function F(x) graphed on the coordinate plane below?
X-3
X-1
X+1
X+2
Answer:
x - 1
Step-by-step explanation:
The graph touches the x-axis at x = 1, its factor would be (x - 1)
B=(3,5,6,9) and C=(2,4,6,8) Find (A). A/B (B). B/C C. A/C (D). C/A
Answer:
The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.
Dave's science class is competing to see who can build the tallest tower. Each group of students gets 10 newspapers and 2 yards of tape. Dave's group decides to roll up each of their newspapers. Then, they tape each roll with 4 inches of tape. How many inches of tape do they have left?
32 inches more of tape students need.
Given that,
Students in Dave's science class are trying to build the tallest structure. Ten newspapers and two yards of tape are given to each group of kids. The decision is made by Dave's group to roll up each newspaper. Then, they use 4 inches of tape to seal each roll.
We have to find how many more inches of tape are there.
We know that,
1 yard is 36 inches.
So,
2 yards is 2 times 36 is 72 inches.
The inches of the tape they need is 10 times 4 is 40.
So,
72-40 is 32 inches
Therefore, 32 inches more of tape students need.
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a triangle is shown drag graphs to the table to ahow the image of the triangle after it is reflected over the x-axis, the y-axis, or the line y = x.
The graphs have been correctly dragged to the table to show the image of the triangle after it is reflected over the x-axis, the y-axis, and the line y = x.
How to reflect the triangle based on the transformation rule?By applying a reflection over the x-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;
(x, y) → (x, -y)
(1, -3) → (1, -(-3)) = (1, 3)
(3, -2) → (3, -(-2)) = (3, 2)
(4, -5) → (4, -(-5)) = (4, 5)
By applying a reflection over the y-axis to the coordinates of this triangle, we have the following coordinates of the image triangle;
(x, y) → (-x, y)
(1, -3) → (-1, -3)
(3, -2) → (-3, -2)
(4, -5) → (-4, -5)
By applying a reflection over the line y = x to the coordinates of this triangle, we have the following coordinates of the image triangle;
(x, y) → (y, x)
(1, -3) → (-3, 1)
(3, -2) → (-2, 3)
(4, -5) → (-5, 4)
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Does anybody know what the answer to this question is?
If you know, please tell me. I'm really in a hurry.
Answer:
28x−6
Step-by-step explanation:
Okay 2 sides of equal lenght so
2(6x-4)+2(8x+1)=
12x-8+16x+2
28x-6
a) A club uses email to contact its members. The chain starts with 3 members who
each contact three more members. Then those members each contact 3 members, and
so the contacts continue.
The exponential function that represents the number of members contacted after x days is given as follows:
\(N(x) = 3(3)^x\)
How to define an exponential function?An exponential function has the definition presented according to the equation as follows:
\(y = ab^x\)
In which the parameters are given as follows:
a is the value of y when x = 0.b is the rate of change.The parameter values for this problem are given as follows:
a = 3 -> the chain starts with 3 members.b = 3 -> each new member contacts 3 members.Hence the function is given as follows:
\(N(x) = 3(3)^x\)
Missing InformationThe problem asks for the exponential function that represents the number of members contacted after x days.
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Kylee's car was broken into, and her stereo and GPS system worth $425 total
were stolen. If Kylee's insurance policy summary is given below, how much
will Kylee receive from her insurance company when she files her claim?
answer
= amount to be paid by kylee to repair her car = $ 400
And this loss is claimed under comprehensive deductible worth $375
So the extra amount which is to be paid to insurance company is =$ 25
= $ 25
Kylee receive from her insurance company when she files her claim for $25.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Kylee's car was broken into, and her stereo and GPS system worth $425 total were stolen.
The amount to be paid by Kylee to repair her car is $400
And this loss is claimed under a comprehensive deductible worth $375.
So the extra amount which is to be paid to an insurance company will be
⇒ $400 - $375
⇒ $25
Kylee receive from her insurance company when she files her claim for $25.
The complete question is...
Kylee's car was broken into, and her stereo and GPS system worth $425 total were stolen. If Kylee's insurance policy summary is given below.
The amount to be paid by Kylee to repair her car is $400
And this loss is claimed under a comprehensive deductible worth $375.
How much will Kylee receive from her insurance company when she files her claim?
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In which number is the digit 4 ten times larger than in the number 384?
O 842
O 954
O 1,469
O 4,216
The number 842 is the number whose digit 4 is ten times larger than in the number 384
Finding the numberTo solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.
In the number 384, the digit 4 is in the ones place, which means that its value is 4.
To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.
The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.
Therefore, the correct answer is 842.
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Please help I don’t understand it
Sally has a new beaded necklace. 30% of the 20 beads on Sally's
necklace are blue. How many blue beads are there on Sally's necklace?
Answer:
30% of 20 is 6 so 6/20 are blue
20 - 6 = 14
Therefore Sally has 14 blue beads in her necklace
Step-by-step explanation:
Which of the following functions is graphed below?
O A. y -** 2-3
B. y - 4-3
C. y - x - 2-3
OD. y - x - 223
Using translation concepts, it is found that the function graphed is defined by:
D. y = |x - 2| + 3.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the function has the format of the absolute value function, y = |x|, which has vertex at (0,0). Here, the vertex is at (2,3), that is, the function was shifted:
2 units to the right, that is, x -> x + 2.3 units up, that is, y -> y + 3.Hence the definition is given by:
D. y = |x - 2| + 3.
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The mean age of 5 people in a room is 31 years.
A person enters the room.
The mean age is now 30.
What is the age of the person who entered the room?
Answer:
25
Step-by-step explanation:
1. the sum of all the ages of the 5 people is 31 X 5 which is 155.
2. when the new person is added the sum becomes 30 X 6 which is 180.
3. the difference between 180 and 155 is 25.
4. this means that 25 is the age of the person who entered the room.
An office supply store sells 12 rolls of tape for $29.88. At that rate, which proportion could be used to solve for c, the cost of 36 rolls of tape?
Answer:
$89.64
Step-by-step explanation:
First, you want to find your unit rate.
To do that, simply just divide what you know (cost/amount):
29.88/12
= 2.49
This means that one role of tape costs $2.49.
Now that we know that, you can simply just solve for value "c":
c = 2.49(36)
c = 89.64
if something is plentiful, possession of it will not increase your power. A resource need to be perceived as _____ to create dependency.
= Scarce
Step-by-step explanation:
if something is plentiful, possession of it will not increase your power. A resource need to be perceived as scarce to create dependency.
1.3 Do Activity 1.4.1 from your Study Guide. Give a concise account (do not copy and paste) of the main points of the principle of "Caring about the development of students' mathematical proficiency". (6)
The principle of "Caring about the development of students' mathematical proficiency" is a vital component of the teaching process.
As a teacher, you must be concerned about your student's growth in mathematics to support their success in the subject. The main points of this principle are as follows:
1. Supporting Students: The teacher must strive to provide effective support for each student's learning, based on their needs.
2. Encouraging Students: The teacher should encourage students to improve their proficiency in mathematics and support their learning by providing suitable opportunities for them.
3. Problem-Solving Skills: Teachers must help students develop problem-solving skills to tackle challenging mathematical problems.
4. Feedback and Assessment: The teacher must provide timely feedback and assessment to support the student's growth in mathematics. This feedback should be constructive and should aid in the student's development of mathematical proficiency.
5. Encouraging Student Reflection: The teacher should encourage students to reflect on their learning experiences to recognize areas where they need more support. The development of a student's mathematical proficiency should be the focus of a teacher's teaching, learning, and assessment practices.
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what is the domain of the function a(x) in this context? will mark brainliest if you give right answer
Functions assign outputs to inputs. The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.
determine which lines, if any, must be parallel.
a. L || m
b. m || p
c. n || p
d. none of the lines are parallel.
Answer:
I would like to believe it's l and m
n and p
Help please!!!!
Find the measure of the angle indicated
Answer:
x = 6
Step-by-step explanation:
Because we have parallel lines, we can use alternate angles are equal. Therefore, we know that 11x-6 = 10x.
Minus 11 from both sides, and we get -6 = -x, so x = 6
In a loan database, there are 25 loans to clients with 16 years of business experience. Also, there are 67 loans made to clients with a High School education. In the database there are 72 loans to clients with 16 years of experience or who have a High School education. How many loans were made to clients with a High School education who also had 16 years of experience?
Solution:
The Venn diagram to represent the statement is show below
Let B represent loans to clients with 16 years of business experience
Let H represent loans to clients with a High School education
Where,
x represent loans to clients with 16 years of business experience and also had a High School education
To find x,
\(\begin{gathered} 25-x+x+67-x=72 \\ Collect\text{ like terms on the left side of the equation} \\ 25+67-x+x-x=72 \\ 92-x=72 \\ Collect\text{ like terms} \\ x=92-72 \\ x=20 \end{gathered}\)Hence, the answer is 20
Two numbers are such that twice the greater number exceeds thrice the smaller one by 15 and 1/5 of the smaller and 1/9 of the greater number are together 10. Find the numbers.
Answer: The two numbers are $x = 5$ and $y = 7.5$.
Step-by-step explanation:
Let the two numbers be $x$ and $y$, where $x < y$. We can write the two given statements as the following two equations:
$$2y = 3x + 15$$
$$\frac{1}{5}x + \frac{1}{9}y = 10$$
We can solve this system of equations using elimination. Multiplying the first equation by 5 and the second equation by 9, we get
$$10y = 15x + 75$$
$$9x + y = 90$$
Subtracting these equations, we get
$$8y - 9x = 15$$
Multiplying this equation by 8, we get
$$64y - 72x = 120$$
Adding this equation to 5 times the first equation, we get
$$69y - 72x = 120 + 75$$
$$69y - 72x = 195$$
Dividing both sides by 3, we get
$$23y - 24x = 65$$
Subtracting this equation from 4 times the second equation, we get
$$96y - 36x = 360 - 260$$
$$96y - 36x = 100$$
Dividing both sides by 60, we get
$$\frac{16}{3}y - \frac{6}{5}x = \frac{5}{3}$$
Substituting the expression for $y$ from the first equation, we get
$$\frac{16}{3}(3x + 15) - \frac{6}{5}x = \frac{5}{3}$$
This simplifies to
$$\frac{16}{5}x + \frac{64}{5} = \frac{5}{3}$$
Solving for $x$, we find that $x = 5$. Substituting this value into the first equation, we find that $y = 15/2 = 7.5$. Therefore, the two numbers are $x = 5$ and $y = 7.5$.
Which of the following functions is graphed below? HELP
The solution is: Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1, the following functions is graphed below.
Option C is correct.
Explanation:
We are given a graph of piece-wise function which break at x=1
We need to choose correct option for graph.
Function is break at x=1.
We will get two function
For x≤1 and x>1
As we can see x≤1, graph is linear and x>1 graph is parabolic.
Equation of linear graph, x≤1
Take two point of graph (0,6) and (-6,0)
Equation of line:
y-y1/y2-y1 = x-x1/x2-x1
y = x+1
f(x)=x+6 , x≤1
Equation of parabolic graph, x>1
f(x) = x^2 + 3
Piece-wise function
f(x)=x+6 , x≤1
f(x) = x^2 + 3 , x>1
Please see the attached figure.
Hence, The option C is correct.
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Simplify this expression (4ab^2)^3
Answer:
(48b 2) 3
Step-by-step explanation:
The answer is A) The simplified expression is a polynomial. & B)The simplified expression has a constant term.
What is a polynomial for example?Polynomials are sums of phrases of the form okay⋅xⁿ, where ok is any range and n is an effective integer. as an instance, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers commonplace terminology like phrases, diploma, fashionable form, monomial, binomial and trinomial.
Here, we have,
A polynomial is described as an expression that consists of variables, constants, and exponents, which can be mixed with the usage of mathematical operations including addition, subtraction, multiplication, and department (No department operation by way of a variable).
t³(8 + 9t) - (t² + 4)(2 - 3t)
= 8t³ + 9t⁴ - (2t² - 3t³ + 8 - 12t)
= 8t³ + 9t⁴ - 2t² + 3t³ - 8 + 12t
= 9t⁴ + 11t³ - 2t² + 12t - 8.
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complete question;
T^3(8 + 9t) - (t2 + 4) (2 – 3t)
The simplified expression is a polynomial.
The simplified expression has a constant term.
The simplified expression is cubic.
The simplified expression has four terms.
The simplified expression is a trinomial
Select the equation whose graph has a y-intercept with a positive y-coordinate. o y = 5x²-3x - 5 O y = x2 - 10x O y = x2 +3x-2 y = (x + 1)(x + 2)
The y-intercept of any function is the point where it intersects with the y-axis. At this point the x-coordinate is always zero.
To determine which equations have a positive y-intercept you have to determine the corresponding value for each one of them.
As mentioned above, the x-coordinate of the y-intercept is always zero, so to determine the y-coordinate of the point you have to replace each equation with x=0 and calculate the value of y:
First equation
\(\begin{gathered} y=5x^2-3x-5 \\ y=5(0)^2-3\cdot0-5 \\ y=-5 \end{gathered}\)The y-intercept of this equation is (0,-5) and the y-coordinate is negative.
Second equation
\(\begin{gathered} y=x^2-10x \\ y=0^2-10\cdot0 \\ y=0 \end{gathered}\)The y-intercept of this equation is the origin (0,0), zero is neither positive nor negative, so you can't say that the y-coordinate of the y-intercept of this equation is positive.
Third equation
\(\begin{gathered} y=x^2+3x-2 \\ y=0^2+3\cdot0-2 \\ y=-2 \end{gathered}\)The y-intercept of this function is (0,-2) and its y-coordinate is -2 which is not positive.
Fourth equation
To determine the y-intercept of this equation first you have to solve the square of the binomial. For this you have to distribute the multiplication, which means, to multiply each term on the first parentheses by each term on the second parentheses:
\(\begin{gathered} y=(x+1)(x+2) \\ y=x\cdot x+x\cdot2+1\cdot x+1\cdot2 \\ y=x^2+2x+x+2 \end{gathered}\)And simplify the like terms to determine the quadratic expression
\(y=x^2+3x+2\)Now we can replace the expression with x=0 to determine the y-coordinate of the y-intercept
\(\begin{gathered} y=0^2+3\cdot0+2 \\ y=2 \end{gathered}\)The y-intercept of this equation is (0,2) and has a positive y-coordinate.
So the only equation whose graph has a y-intercept with a positive y-coordinate is
y=(x+1)(x+2)
HELPPPPOOOPPPPOPPPPPPPP
Answer:
Your answer would be B
Step-by-step explanation:
So right away you can get rid of a and d since they are positive numbers, there is no positive numbers in the graph were the line is.
So we know that the y-intercept is -2 (as you can see the line pass through (0,-2))
And we know the y intercept is -8 (since the line pass through (-8,0))
so you are left with b and c, c is incorrect because the -2 goes through the y-intercept not the x.
The right choice is b, it states that the x-intercept -8 pass through the line, the y-intercept is -2
Your welcome and hoped this helped!
ILL GIVE YOU BRAINLIST !!! HAVE TO GET IT RIGHT !!
Evaluate the expression given the replacement values
Answer:
8
Step-by-step explanation:
\(\frac{2}{5} (1+24) + \frac{1}{2} (2-6)\)=
\(\frac{2}{5} (25)+ \frac{1}{2} (-4)\)=
\(10-2=8\)
Who was in command of the Texan forces at the Alamo
Travis' famous letter, addressed to "The People of Texas and All Americans in the World," in which he passionately appealed for reinforcements and vowed to "never surrender or retreat," has become a symbol of the fortitude and sacrifice displayed by the Texan defenders at the Alamo.
The commander of the Texan forces at the Alamo during the famous battle in 1836 was Colonel William B. Travis. Travis, a lawyer and soldier, was chosen as the leader of the Texan garrison at the Alamo, a former mission turned fortress in San Antonio, Texas. He assumed command of the Texan forces in early 1836 and played a crucial role in the defense of the Alamo against the Mexican army led by General Santa Anna.
Travis and his men, along with notable figures such as James Bowie and Davy Crockett, bravely defended the Alamo against overwhelming odds for thirteen days. Despite their courage and determination, the Texan defenders were ultimately overrun by the Mexican forces on March 6, 1836, and suffered heavy casualties, including the deaths of Travis, Bowie, and Crockett.
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Algebraic expression for 4less then 3x
When 'x' is 5, the Algebraic expression 3x - 4 evaluates to 11.
To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.
First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.
Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.
In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.
To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:
3(5) - 4
This simplifies to:
15 - 4 = 11
So, when 'x' is 5, the expression 3x - 4 evaluates to 11.
In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.
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Note the complete question:
Algebraic expression for 4 less than the product of 3 and some number
What is the algebraic expression for "4 less than the product of 3 and some number?
Please help me understand the meaning of how to calculate.
what is 4x+3=11 what is the value of x?
Answer:
The Answer is x=2
Step-by-step explanation:
Hope this helps!!!!
Answer:
x=2
Step-by-step explanation:
4x+3=11
4x=11-3 ( subtract 3 on both sides)
4x=8
x=2 ( divide 4 on both sides)
given that the surface defined by top(x, y) satisfies and the surface defined by bottom(x, y) satisfies for all and , estimate the volume bounded by the two surfaces using monte carlo method. you can assume this volume lies within the box illustrated in the above figure, i.e., , and . store the volume of the object in a variable called volume. the setup code provides the following functions:
divide the volume by the total number of points to normalize it. The resulting value is the estimated volume of the bounded object.
def top(x, y):
return x+y
def bottom(x, y):
return x*2 + y*2
import numpy as np
xvals = np.random.uniform(-1, 1, size=10000)
yvals = np.random.uniform(-1, 1, size=10000)
# Initialize the volume
volume = 0
# Calculate the volume using Monte Carlo
for x, y in zip(xvals, yvals):
if top(x, y) > bottom(x, y):
volume += 1
# Normalize the volume by the total number of points
volume /= 10000
print(volume)
The Monte Carlo method is used to estimate the volume of a bounded object by randomly generating points within a known box. First, we generate a list of random (x, y) coordinates using numpy's uniform function. We then initialize the volume to 0 and loop through the list of coordinates and increment the volume by 1 if the point lies above the surface. Finally, we divide the volume by the total number of points to normalize it. The resulting value is the estimated volume of the bounded object.
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Find x. (show work)
What type of triangle is it?
The value of x in chords is 25.857 and this is a isosceles triangle.
Describe Chords?In geometry, a chord is a line segment that connects two points on the circumference of a circle. A chord is the longest distance between two points on a circle, and it passes through the center of the circle. The endpoints of a chord are referred to as its "endpoints." A chord that passes through the center of a circle is called the "diameter" of the circle. The length of a chord can be calculated using the Pythagorean theorem, given the radius and the distance between the center and the chord. Chords are used in various geometric calculations involving circles, such as finding the area of a sector or segment of a circle.
The sum of the angles of a triangle is 180 degrees. In a circle, the angle subtended by an arc at the center of the circle is twice the angle subtended by the same arc at any point on the circumference. Using these facts, we can set up the following equation to find x:
(1/2)(14x - 7) + (1/2)(12x + 4) + (1/2)(4x) = 180
Simplifying and solving for x, we get:
7x - 1 = 180
7x = 181
x = 25.857
Therefore, x is approximately equal to 25.857.
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