Answer:
$153
Step-by-step explanation:
Multiply the 2 numbers
NO LINKS!!! This problem only
Identify the segment bisector of XY. Then find XY.
Segment Bisector:
XY:
Answer:
Segment Bisector: PQXY: 26 units-------------------------------
As per given drawing PQ is the segment bisector of XY.
The point W is the midpoint of XY. As per property of midpoint, XW and WY have equal length.
XW = 13 units, hence:
XY = 2*XW = 2*13 = 26 unitsThe 4th time of me posting this question
A cylinder has a volume of 1 and one third in3 and a radius of one third in. What is the height of a cylinder? Approximate using pi equals 22 over 7.
42 over 6 inches
42 over 9 inches
42 over 11 inches
42 over 22 inches
The height of the cylinder is approximately 42/11 inches. The answer is option C.
What is the formula for the volume of the cylinder?
The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.
We are given that the volume of the cylinder is 1 and one-third in^3 and the radius is one-third in. Substituting these values into the formula, we get:
1 and one-third = 4/3
V = π(1/3)²h = 4/3
Simplifying the equation, we get:
h = (4/3) / (π(1/3)²) = (4/3) / (π/9) = (4/3) * (9/π) = 12/π
Approximating π as 22/7, we get:
h ≈ (12/π) ≈ (12/(22/7)) = 42/11 inches
Therefore, the height of the cylinder is approximately 42/11 inches. The answer is option C.
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The water was pumped out of a backyard pond. What is the domain of this graph?
A boat can travel 29mph in still water. If it travels 342 miles with the current in the same length of time it travels 180 miles against the current, what is the speed of the current?
29 = speed of the boat in still water
c = speed of the current
t = time it took each way
when going Upstream, the boat is not really going "29" fast, is really going slower, is going "29 - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "29" fast, is really going faster, is going "29 + c", because the current is adding its speed to it.
\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&180&29-c&t\\ Downstream&342&29+c&t \end{array}\hspace{5em} \begin{cases} 180=(29-c)(t)\\\\ 342=(29+c)(t) \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{using the 1st equation}}{180=(29-c)t\implies \cfrac{180}{29-c}=t} \\\\\\ \stackrel{\textit{substituting on the 2nd equation from above}}{342=(29+c)\left( \cfrac{180}{29-c} \right)}\implies \cfrac{342}{29+c}=\cfrac{180}{29-c} \\\\\\ 9918-342c=5220+180c\implies 4698-342c=180c\implies 4698=522c \\\\\\ \cfrac{4698}{522}=c\implies \boxed{9=c}\)
What the meaning of statement this?
This statement essentially establishes a relationship between the sets X, Y, and z, stating that there exists a subset Y for each element x in X such that the elements in Y are present in some subset z of X.
The given statement is a symbolic representation of a logical proposition involving quantifiers and logical connectives. Let's break down its meaning:
∀ X ∃ Y ∀u(u ∈ Y ↔ ∃z(z ∈ X ∧ u ∈ z))
The symbol ∀ (universal quantifier) indicates that the statement applies to all elements in the set X.
The symbol ∃ (existential quantifier) indicates that there exists at least one element in the set Y.
The statement can be interpreted as follows:
"For all elements x in the set X, there exists a set Y such that for every element u in Y, u is an element of Y if and only if there exists a set z in X such that u is an element of z."
In simpler terms, the statement asserts that for every element x in the set X, there is a set Y that contains elements u if and only if there exists a set z in X that also contains u.
It is important to note that the precise meaning and implications of this statement may depend on the context and interpretation of the sets X, Y, and their elements.
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Please help fast ASAP
You are making cookies for a party. You are not sure whether you will have 12 friends or 20 friends show up at the party, and you want each person to have the same number of cookies. What is the least number of cookies you must make in order to share equally with either 12 friends, or with 20 friends.
If four out of ten people vote. Then in a town with 210,000 people, how many people will not vote?
1. Find the value of the expression.
7755 • 21
Answer:
you can just calculate the answer
Step-by-step explanation:
on a calculated put 7766 times 21 and that will be your answer
Consider the function f(x)=\(4\sqrt{x} +6\)
(a) Simplify the following difference quotient as much as possible
(f(9+h)−f(9))/ h
(b)Use your result from (a) and the limit definition of the derivative to calculate
f′(9)= (f(9+h)−f(9))/h
lim h→0
(c)Use your answer from part (b) to find the equation of the tangent line to the curve at the point (9,f(9))
.
.
Answer:
(a) First, we need to find f(9+h) and f(9):
f(9+h) = (9+h)^2 + 3 = 81 + 18h + h^2 + 3 = h^2 + 18h + 84
f(9) = 9^2 + 3 = 84
Now, we can substitute these values into the difference quotient and simplify:
(f(9+h) - f(9))/h = ((h^2 + 18h + 84) - 84)/h = (h^2 + 18h)/h = h + 18
(b) Using the limit definition of the derivative:
f′(9) = lim(h→0) (f(9+h) - f(9))/h = lim(h→0) (h + 18) = 18
(c) The equation of the tangent line to the curve at the point (9,f(9)) is given by:
y - f(9) = f′(9)(x - 9)
Substituting f(9) and f′(9) into this equation, we get:
y - 84 = 18(x - 9)
y = 18x - 54 + 84
y = 18x + 30
Simplify (2x-3)(5x squared-2x+7)
To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.
First, multiply 2x by each term inside the second parentheses:
2x * 5x^2 = 10x^3
2x * -2x = -4x^2
2x * 7 = 14x
Next, multiply -3 by each term inside the second parentheses:
-3 * 5x^2 = -15x^2
-3 * -2x = 6x
-3 * 7 = -21
Combine all the resulting terms:
10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21
Now, combine like terms:
10x^3 - 19x^2 + 20x - 21
So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.
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help me plsssssssssssss!Of the 420 students enrolled in advanced math at college, only 30% are first-year students.
How many are first-year students?
Answer:
126 students are first-year students.
Step-by-step explanation:
The answer is 126 because 30% of 420 is 126.
P.S Can I have brainliest?
Write 3.278 correct to 1 decimal place.
Answer: 0.3278
PLEASE GIVE BRAINLIEST THANK YOU VERY MUCH!!!
what is the solution set for this inequality? -5x+30 >-10
By solving linear inequation, it can be calculated that
x < 8 is the solution of the inequality -5x+30 >-10
What is linear inequation?
At first, it is important to know about algebraic expression.
Algebraic expression consist of variables and numbers connected with addition, subtraction, multiplication and division.
Now, algebraic expressions are of different types. They are-
Monomial, Binomial and trinomial.
Algebraic expression with only one term is called monomial
Algebraic expression with two terms are called binomial
Algebraic expressions with three terms are called trinomial.
Algebraic expressions with more than three terms are called polynomial.
Based on degree, algebraic expression may be called as linear, quadratic, cubic and so on
Algebraic expression of degree one is called linear
Algebraic expression of degree two is called quadratic
Algebraic expression of degree one is called cubic
Inequation shows the comparison between two algebraic expressions by connecting the two algebraic expressions by >,<, ≥, ≤
A one degree inequation is known as linear inequation.
Here the given inequality is-
-5x+30 >-10
Now,
-5x + 30 > -10
-5x > -10 - 30
-5x > -40
x < \(\frac{-40}{-5}\)
x < 8
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dividing 1/9 is equal to multiplying by
Answer: 9
Step-by-step explanation: To divide we need to flip the second fraction we are dividing by. For example:
10/1 divided by 1/4 = 10/1 times 4/1. So in this case, the answer is 40.
Now lets try it with 1/9.
X divided by 1/9 = X times 9/1.
So dividing by 1/9 is equal to multiplying by 9.
This month my metro water services bill was $36.34 and my Madison Suburban Utilty District bill was $26.03. My total water bill was $
Total water bill for the month is $62.37.
It seems that you may have accidentally left out the total amount of your water bill.
The total amount by simply adding the amounts of the individual bills together:
Total water bill =\($36.34 + $26.03\)
= \($62.37\)
You have not provided enough information to determine your total water bill.
You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.
To find your total water bill, you simply need to add the two bills together.
So, the total amount you owe for water this month would be:
Total water bill = \($36.34 + $26.03\)
= \($62.37\)
It appears that you may have forgotten to include the full amount of your water bill by accident.
Simple addition of the separate bill amounts yields the following sum:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
Your total water bill cannot be calculated because not enough information has been given.
Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.
You just need to combine the two invoices together to get your total water bill.
As a result, this month's total water bill for you would be:
Water bill total = \($36.34 + $26.03\)
= \($62.37\)
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Find the solution set for
x-8= - 10
Answer:
x=-2
Step-by-step explanation:
x-8=-10by adding 8 in both sides, we get
x-8+8=-10+8Hence -8 and +8 cancel each other and we get,
x=-2I hope it helped U
I hope it helped Ustay safe stay happy
A skyscraper casts a shadow 200 ft long. If the angle of elevation of the Sun is 38 degrees, then the height of the skyscraper is approximately _____.
A. 200 ft
B. 173.34 ft
D. 156.26 ft
The height of the skyscraper is D. 156.26 ft
How to determine the valueTo determine the height of the skyscraper, we need to consider the following trigonometric identities listed thus;
sinecosinetangentcotangentsecantcosecantFrom the information given, we have that;
Angle, θ = 38 degrees
The shadow casted is the adjacent side of the angle and is 200 ft
The height off the skyscraper is the opposite side
Now, using the tangent identity, we have that;
tan θ = opposite/adjacent
tan 38 = h/200
cross multiply the values, we get;
h = 200(0.7812)
Multiply the values
h = 156. 26 ft
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A plane leaves an airport at noon flying due south at 900 km/h. That same day, another plane is flying due east toward the
airport at 600 km/h.
If the incoming plane is 2000 km away from the airport at 4 pm, what is the rate of change of the distance between the planes?
The rate of change of the Distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.
The rate of change of the distance between the planes, we need to determine how the distance between them changes over time.
the distance between the two planes is represented by the variable D, and time is represented by the variable t.
At noon, the southbound plane starts flying and continues for 4 hours until 4 pm. During this time, the plane covers a distance of 900 km/h * 4 hours = 3600 km due south.
Meanwhile, the eastbound plane is also traveling towards the airport. It starts from a distance of 2000 km away from the airport at 4 pm.
To find the distance between the planes at any given time, we can use the Pythagorean theorem, as the planes are moving at right angles to each other. The distance D between the planes can be calculated as:
D^2 = (2000 km)^2 + (3600 km)^2
Simplifying the equation:
D^2 = 4000000 km^2 + 12960000 km^2
D^2 = 16960000 km^2
Taking the square root of both sides:
D = sqrt(16960000) km
D = 4120 km
Now, we can find the rate of change of the distance between the planes by calculating the derivative of the distance equation with respect to time
dD/dt = 0
Since the distance between the planes is constant, the rate of change is zero.
Therefore, the rate of change of the distance between the planes is zero. This means that the distance between the planes remains constant throughout their respective flights.
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Which employee did not have the same dollar amount in sales for the month of February as the other two employees?
a.
Employee #1.
b.
Employee #2
c.
Employee #3
d.
They each had the same dollar amount in sales.
Answer:
A
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
"Employee #1" took test 2023
What is the answer for number 8 and 9 do not worry about 10
Answer:
8. 2
9. C
Hope this helps :)
A data set contains three points, and two of the residuals are -10 and 20.
What is the third residual?
If a data set contains three points, and two of the residuals are -10 and 20, the third residual is 10 (option B).
What is a residual?A residual is the difference between the observed value and the estimated value of the quantity of interest.
The residual of a data points should normally sum up to zero (0). This means the following applies:
-10 + 20 + x = 0
x = 10
Therefore, if data set contains three points, and two of the residuals are -10 and 20, the third residual is 10.
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A company surveyed 2,600 North American airline passengers and reported that approximately 75% said that they carry a smartphone when they travel. Suppose that the actual percentage is 75%. Consider randomly selecting six passengers and define the random variable x to be the number of the six selected passengers who travel with a smartphone. The probability distribution of x is the binomial distribution with n
The probability that exactly six out of ten carry a smartphone when travelling is; P(6) = 0.146
The missing part of the question is;
The probability distribution of x is the binomial distribution with n = 10 and p = 0.75.
Calculate P(6)
This is a binomial probability distribution problem that has a general formula as; P(x) = ⁿCₓ × pˣ × q⁽ⁿ ⁻ ˣ⁾Where;
p is probability of success
q is probability of failure
n is number of experiments
In this question;
n = 10
p = 75% = 0.75
q = 1 - p
q = 1 - 0.75
q = 0.25
Since six passengers are randomly selected, then applying the formula earlier quoted, we have;
P(6) = ¹⁰C₆ × 0.75⁶ × 0.25⁽¹⁰ ⁻ ⁶⁾
P(6) = 0.146
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OKAY LAST ONE HELP ASAP !!!!!!!!!
\(acute\)
because every angle is smaller than 90 degrees
Evaluate the following function: *
k(t)=13t-2
k(3)=
5800 dollars is placed in an account with an annual interest rate of 9%. To the nearest tenth of a year, how long will it take for the account value to reach 17600 dollars?
What is the slope of the line that passes through the points
(
−
5
,
8
)
(−5,8) and
(
−
5
,
4
)
(−5,4)? Write your answer in simplest form.
Step-by-step explanation:
Slope formula:
\( \frac{y2}{x2} - \frac{y1}{x1} = m\)
Substitute the points into the formula format:
\( \frac{4}{ - 5} - \frac{8}{ - 5} = m\)
Solve:
\( \frac{ - 4}{0} = m\)
When a slope has a run (x) of 0, the slope is undefined.
Answer:
-4 / 0
Step-by-step explanation:
Given the following question:
(-5, 8), (-5, 4)
In order to find the answer to this question we will use rise over run, substitute the values, and then solve.
\(m=\frac{y2-y1}{x2-x1}\)
(-5, 8), (x1, y1)
(-5, 4), (x2, y2)
4 - 8 = -4
-5 - -5 = 0
m = -4 / 0
Hope this helps.
Rationalize the denominator.
Answer:
B. 27+3√5/76
Step-by-step explanation:
3/9-√5
~Multiply the conjugate to everything (9 + √5)
3(9+√5)/(9-√5)(9+√5)
~Simplify
27+3√5/76
Best of Luck!
As the CAPS document outlines, the Content Specification and Content Clarification for Patterns, Functions, and Algebra shows sequenced mathematics content topics and a content area spread. In the Intermediate Phase, select one topic and report on the topic sequence and content area spread. Your report should demonstrate mathematics concepts and procedures’ hierarchical and logical progression.
Answer:
Step-by-step explanation:
In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."
The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:
Introduction to Variables and Expressions:
Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.
Solving One-Step Equations:
Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.
Solving Two-Step Equations:
Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.
Writing and Graphing Linear Equations:
Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.
Systems of Linear Equations:
Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.
Word Problems and Applications:
Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.
The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.
By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.
A second hand car is being advertised at 1000 dollars now and 1000 dollars on 1 years time. the dear offers it to you at 1800 dollars cash.which should you take and why?
I will take 1000 dollars because it is advertised at 1000 dollars