Figure O is reflected followed by a translation of 4 units in the left direction.
Given that:
Figure O and Figure P are shown on the graph.
The translation does not change the shape and size of the geometry. But changes the location.
Figure O is translated leftward by 4 units.
The reflection does not change the shape and size of the geometry. But flipped the image. A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersect the line of reflection at a right angle.
The translated figure O is reflected across the x-axis.
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An experiment was used to test a new migraine medicine. Each participant took either the new medicine or a placebo
then waited for one hour to see if the headache went away or remained. The results are compiled in the contingency
table below. Use the table to answer the questions.
Went Away| Medicine| Placebo
Remained|. 120. |. 68
18. | 44
Your answers should be exact numerical values.
There were
participants whose headache remained.
The probability of randomly selecting an individual whose headache remained is
There were
participants whose headache remained and took a placebo.
The probability of randomly selecting an individual whose headache remained and took a placebo is
1) Number of participants whose headache remained is: 62
2) The probability of randomly selecting an individual whose headache remained is: 0.4133
3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933
How to find the probability of random selection?From the table, we have the parameters as:
Number of participants that took medicine and headache went away = 120
Number of participants that took placebo and headache went away = 68
Number of participants that took and headache remained = 18
Number of participants that took placebo and headache remained = 44
1) Number of participants whose headache remained = 18 + 44 = 62
2) The probability of randomly selecting an individual whose headache remained is:
62/(62 + 120 + 68)
= 62/150
= 0.4133
3) The probability of randomly selecting an individual whose headache remained and took a placebo is:
44/150 = 0.2933
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what’s the quotient of -15b^5+18b^3/3b
This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.
To find the quotient of the expression (-15b^5 + 18b^3) divided by 3b, we can perform the division by simplifying each term separately.
First, let's divide -15b^5 by 3b:
(-15b^5) / (3b) = -15/3 * b^5/b = -5 * b^(5-1) = -5b^4
Next, let's divide 18b^3 by 3b:
(18b^3) / (3b) = 18/3 * b^3/b = 6 * b^(3-1) = 6b^2
Now, we have simplified each term individually. The resulting expression is:
-5b^4 + 6b^2
This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.
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Find the degree of the monomial.
9b6c5
The degree of the monomial is
Answer:
6
General Formulas and Concepts:
Algebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
9b⁶c⁵
Step 2 Identify
Our largest degree is the variable raised to the highest exponent.
b⁶ > c⁵
Therefore our degree is 6.
(01.06)
Rick is setting up a model train track that is
sono
feet long. No telephone pole is needed at the start of the track. However, along the track, he places a telephone
pole every
foot apart. How many telephone poles does he need? (Input number values only)
Numerical Answers Expected!
Answer for Blank 1
Answer:
2
Step-by-step explanation:
2
1) A student has a Math placement of Math 111, Math 100 and Math 102+. What course should the student first start with according to their placement results to then continue to get to Math 103E?
The placement results provided, the student should start with Math 100.
The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.
To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.
Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.
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no the projvet iS 348
3=20
14. Model Real Life A self-balancing scooter travels 12 miles
per hour. An all-terrain vehicle can travel 6 times as
fast as the scooter. A go-kart can travel 67 miles
per hour. Which vehicle can travel the fastest?
An all-terrain vehicle can travel the fastest.
What is Speed ?Speed can be define as the time rate by which an object is moving or running along a path. A speed is the quantity which describes the moving rate of any object. We can define the speed with respect to distance and time . Or we can say speed is distance per unit of time . It is calculate in term of kilometers per hour.
Mathematically, we can write:
\(Speed = \frac{Distance}{Time}\)
where, distance is measured in km
and Time is measured in hours
In the question, the distance for three different types of vehicles are given and we have to find fastest vehicle for which we need to find the speed.
For self-balancing scooter
Time = 1 hour
Distance = 12 miles
Therefore, Speed = 12 miles/h
For all-terrain vehicle
Time = 1 hour
Distance = 12 . 6 = 72 miles
Therefore, speed = 72 miles/h
For a go-kart
Time = 1 hour
Distance = 67 miles
Therefore, speed = 67 miles/h
Hence it is cleared that An all-terrain vehicle can travel the fastest.
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Hannon Company makes swimsuits and sells these suits directly to retailers. Although
Hannon has a variety of suits, it does not make the All-Body suit used by highly skilled
swimmers. The market research department believes that a strong market exists for thistype of suit. The department indicates that the All-Body suit would sell for approximately $100. Given its experience, Hannon believes the All-Body suit would have the following manufacturing costs
Direct materials $ 25
Direct labor 30
Manufacturing overhead 45
Total costs $100
Instructions
(a) Assume that Hannon uses cost-plus pricing, setting the selling price 20% above its
costs. (1) What would be the price charged for the All-Body swimsuit? (2) Under what
circumstances might Hannon consider manufacturing the All-Body swimsuit given this approach?
(b) Assume that Hannon uses target costing. What is the price that Hannon would charge the retailer for the All-Body swimsuit?
(c) What is the highest acceptable manufacturing cost Hannon would be willing to incur to produce the All-Body swimsuit, if it desired a profit of $20 per unit? (Assume target costing.)
Hannon's maximum allowable production cost for the All-Body swimsuit is $80 if it wants to make a profit of $20 per unit.
Given data ,
a)
Using cost-plus pricing, the selling price is set 20% above the costs.
Selling price=Costs+(Costs x Markup)
Selling price=$100 + ($100x0.20)
Selling price=$100+$20
On simplifying the equation , we get
Selling price=$120
The price charged for the All-Body swimsuit would be$120.
Hannon might consider manufacturing the All-Body swimsuit under the cost-plus pricing approach if the market demand is strong enough to justify the selling price of $120 and if Hannon can efficiently produce and sell the swimsuit to generate profits.
(b)
Using target costing, the price charged by Hannon to the retailer is determined by subtracting the desired profit per unit from the target selling price.
Target selling price=$100 (given)
Desired profit per unit=$20 (given)
Price charged to retailer=Target selling price - Desired profit per unit
Price charged to retailer=$100-$20
On simplifying the equation , we get
Price charged to retailer=$80
The price that Hannon would charge the retailer for the All-Body swimsuit under target costing is$80.
(c)
To determine the highest acceptable manufacturing cost for the All-Body swimsuit under target costing, we subtract the desired profit per unit from the target selling price.
Target selling price=$100 (given)
Desired profit per unit=$20 (given)
Highest acceptable manufacturing cost=Target selling price-Desired profit per unit
Highest acceptable manufacturing cost=$100-$20
Highest acceptable manufacturing cost=$80
Hannon would be ready to spend up to $80 in manufacturing costs to develop the All-Body swimsuit if it wanted to make $20 each unit.
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It says CHOOSE ALL THAT APPLY pls help me ASAP
Answer:
-1 - 4 and 4 - (-1).
Step-by-step explanation:
.
convert the point (4,197) from polar coordinates into rectangular coordinates. round your answers to the nearest tenth (1 decimal place).
The rectangular coordinates are (-3.825,-1.169).
In a rectangular coordinate system, we were plotting points based on an ordered pair of (x, y). In the polar coordinate system, the ordered pair will now be (r, θ). The ordered pair specifies a point’s location based on the value of r and the angle, θ, from the polar axis.
The value of r can be positive, negative, or zero. The sign of r is very important in locating the exact position of the point. The absolute value of r, |r|, is the distance between the point and the pole.
1. If r is positive (r > 0) then the point lies on the terminal side of θ
2. If r is negative (r < 0) then the point lies on the ray opposite of the terminal side of θ
3. If r is zero (r = 0) then the point lies at the pole regardless of θ
Given,
P= (4,197)
Finding rectangular coordinates (x,y)
x = r cosθ
x = 4 cos 197
x = 4* (-0.956)
x = -3.825
y = r sinθ
y = 4 sin 197
y = 4*(-0.292)
y = -1.169
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find the slope and y-intercept.
The slope and the y-intercept of the line y = 4x + 5 are given as follows:
Slope of 4.y-intercept of 4.How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:
m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.The function for this problem is given as follows:
y = 4x + 5.
Hence the slope and the intercept are given as follows:
m = 4.b = 5.Missing InformationThe problem asks for the slope and the intercept of y = 4x + 5.
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Calc II Question
Find the volume of the solid obtained by rotating the region bonded bt the given curves about the specified line.
Y = In x
Y = 1
Y = 2
X = 0
About the Y axis
16. Reasoning Use the art at the right.
How do you express the length of the
Queen Mary 2 as it compares to the
height of the Washington Monument
as a fraction and as a decimal?
As fraction, the length of the Queen Mary 2 is 2 1/27 times the height of the Washington Monument.
As decimal, the length of the Queen Mary 2 is 2.037 times the height of the Washington Monument.
How is length expressed as fraction and decimal?
The Queen Mary 2 is a cruise ship that is approximately 1,132 feet (345 meters) long, while the Washington Monument is a structure that is 555 feet and 5 1/8 inches (169.3 meters) tall.
To express the length of the Queen Mary 2 as it compares to the height of the Washington Monument as a fraction, we need to divide the length of the Queen Mary 2 by the height of the Washington Monument.
1,132 feet / 555.4219 feet = 2.037
So the fraction is approximately 2 1/27.
To express this as a decimal, we can use a calculator or divide 1132 by 555.4219:
1132 ÷ 555.4219 = 2.037
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please help!!!! need by tomorrow!!
Answer:
Step-by-step explanation:
i need the whole problem done and i don’t understand, i need a step by step to show my work. its at 12. PLS HELP
The surface area of given triangular prism = 24 ft².
For the given triangular prism
Base = 2 ft
height = 3 ft
side = 3ft
We know that,
Surface area of triangular prism
= side x base + 3x base x height
= 3 x 2 + 3x2x3
= 6 + 18
= 24 ft²
Thus,
Surface area = 24 ft²
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Help if you have any idea what the answers are
The firm maximizes its profit where MR equals MC and here at quantity 9, MR equals MC.
How to solveA. 9 unit.
The firm maximizes its profit where MR equals MC and here at quantity 9, MR equals MC.
B. 7.25
In perfect competition, the price is equal to MR. Because firms are price takers. So the price will be 30.
Profit per unit =Price - ATC
=30-22.75
=7.25
C. 65.25
Profit =(Price - ATC) *quantity
=(30-22.75)*9
=65.25
A market having perfect competition involves buyers and sellers exerting no significant impact on product pricing. Such markets are composed of numerous parties possessing alike items, with easy ingress and egress from the same domain.
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a. Use the appropriate formula to find the value of the annuity
b. Find the interest
Rate
Periodic Deposit
$6000 at the end of each year
15.5% compounded annually
Time
10 years
The value of the $6000 annuity given annual compounding is $124,836.12.
What is the value of the annuity?
The value of the annuity can be determining using this formula: amount deposited x annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
n = number of years r = interest rate$6000 x [(1.155^10) - 1/0.155] = $124,836.12
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Of the delegates at a convention, 60% attended the breakfast forum, 70% attended the dinner speech and 40% attended both events. If a randomly selected delegate is known to have attended the dinner speech, the probability that he also attended the breakfast forum is
Answer:
The probability that he also attended the breakfast forum is is 0.5714 = 57.14%.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Attended the dinner speech.
Event B: Attended the breakfast forum.
70% attended the dinner speech
This means that \(P(A) = 0.7\)
40% attended both events.
This means that \(P(A \cap B) = 0.4\)
The probability that he also attended the breakfast forum is
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.7} = 0.5714\)
The probability that he also attended the breakfast forum is is 0.5714 = 57.14%.
HELP!! which expression is equivalent to the given expression 2X^2 -11 X -6
Answer: C.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
HELP HELP EASY
Use a calculator to approximate cos 43° and round to
four decimal places.
Answer:
0.731353701619170483287543608275622403378...
Step-by-step explanation:
cos((43 π)/180)
UwU
It's verified you can trust
0.7315Is what you needed
Un profesor de Enseñanza Básica le indica a sus alumnos que escojan tres dígitos
diferentes del conjunto {1, 2, 3, 4, 5} y formen números mixtos colocando los dígitos
en el casillero . También les recuerda que la parte fraccionaria tiene que ser
menor que 1, por ejemplo
2
3
5
. ¿Cuál es la diferencia entre el mayor y el menor de los
números mixtos que se pueden formar?
Enseñanza Básica is the term used to describe the first level of education in the Chilean education system, which includes the first to eighth grades. A teacher of Enseñanza Básica asked his students to choose three-digit mixed numbers that can be formed.
A mixed number is a number that has both a whole number and a fraction component. To form three-digit mixed numbers, we need to have a whole number that is less than 100 and a proper fraction that has a denominator less than or equal to 99. Here are some examples:123 4/567 2/8109 1/2382 3/47There are a total of 900 three-digit numbers that can be formed using digits 1 to 9 without repetition. To find the number of three-digit mixed numbers that can be formed, we need to count the number of ways we can choose a proper fraction with a denominator less than or equal to 99. There are 99 possible denominators, and for each denominator, there are 98 possible numerators (excluding 0 and the denominator itself). Therefore, the total number of three-digit mixed numbers that can be formed is:900 x 99 x 98 = 8,334,600There are 8,334,600 three-digit mixed numbers that can be formed using digits 1 to 9 without repetition.For such more question on fraction
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The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.
How to solveThe three digits different from {1, 2, 3, 4, 5} can be chosen from {0, 6, 7, 8, 9}.
The greatest mixed number is formed by placing the largest digit as the whole number and the remaining two digits as the fraction in descending order, i.e., 9 87/100 or 9.87.
The smallest mixed number is formed by placing the smallest non-zero digit as the whole number and the remaining two digits as the fraction in ascending order, i.e., 6 07/90 or 6.0789.
The difference between the greatest and the least mixed numbers is 9.87 - 6.0789 ≈ 3.7911.
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The Question in English
A Basic Education teacher tells his students to choose three digits
different from the set {1, 2, 3, 4, 5} and form mixed numbers by placing the digits
in the locker It also reminds them that the fractional part has to be
less than 1, for example
2
3
5
. What is the difference between the greatest and the least of the
mixed numbers that can be formed?
PLEASE HELP!!! BRAINLIEST FOR CORRECT
If t = 0 refers to 12:00 pm (noon), at what time does the maximum price occur?
A) 2:00 pm
B) 6:00 pm
C) 11:00 pm
D)4:00 am
Explanation:
The highest point on the curve occurs when x = 11, which is 11 hours after the 12:00 pm noon marker. This represents the time 11:00 PM
I needs hheeellllppppp
Answer:
It's C.7
Step-by-step explanation:
Use the foil method
Six car batteries weigh 46.2 pounds. Fourteen car batteries weigh 107.8 pounds. Does this represent a proportional relationship? If so, state the constant of proportionality.
The relationship of the battery represent a proportional relationship and the constant is 7.7 pounds.
How to calculate the constant of proportionality?From the information, 6 car batteries weigh 46.2 pounds. The weight per battery will be:
= 46.2 / 6
= 7.7 pounds
Also, rourteen car batteries weigh 107.8 pounds, the weight per battery will be:
= 107.8 / 14
= 7.7 pounds
The constant of proportionality is 7.7.
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For her phone service, Kala pays a monthly fee of $24, and she pays an additional $0.07 per minute of use. The least she has been charged in a month is $118.64.
What are the possible numbers of minutes she has used her phone in a month?
Use m for the number of minutes, and solve your inequality for m.
Answer:
m=1352
Step-by-step explanation:
(118.64-24)/0.07=m
A 2-yard piece of brass wire costs $21.96. What is the price per foot?
Answer:
$3.66.
Step-by-step explanation:
1 yard is equal to 3 feet. So, a 2-yard piece of brass wire is equivalent to 6 feet of brass wire. To find the price per foot, we need to divide the total cost by the total length. So, the price per foot is
QUESTION 1 Determine the general solution of: 2 sin x. cos x = COS X
Starting with the given equation: 2 sin x cos x = cos x
By dividing both sides by cos x, we may simplify: 2 sin x = 1
Dividing both sides by 2:
sin x = 1/2
The values of x that fulfil sin x = 1/2 must now be found, and they are:
x = π/6 + 2πn or x = 5π/6 + 2πn, where n is any integer.
Therefore, the general solution is:
x = π/6 + 2πn or
x = 5π/6 + 2πn, where n is any integer.
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Data that is counted.The set of all y-values.The point where the line crosses the y -axisThe set of all x -values.Data that is measured.The point where the line crosses the x -axis (zeros).
• Finite:, Data that is counted.
,• Range: ,The set of all y-values
,• y-intercept,: The point where the line crosses the y-axis
,• Domain:, The set of all x -values.
,• Continuous:, Data that is measured.
,• x-intercept:, The point where the line crosses the x-axis (zeros).
£20 is divided between Caroline, Sarah & Gavyn so that Caroline gets twice as much as Sarah, and Sarah gets three times as much as Gavyn. How much does Caroline get?
HELP PLEASE
Answer:
Caroline gets 8 pounds.
Step-by-step explanation:
20 = G + C + S
C = 2(S)
S = 3(G)
20 ÷ 5 = 4
C = 2(4)
= 8
The largest whale is the blue whale weighing 19,000 kg what is its weight in scientific notation
Answer:
1.9*10^4 kg
Step-by-step explanation:
1.9*10^4 kg
Answer:
1.9 × 10⁴
Step-by-step explanation:
Move the decimal 4 places to the left to get your number less than 10 but greater than one. Every space you moved left is then placed in the position of the exponent for 10.
How many triangles can you make with 60,60,60 degrees? how do you know?
Answer:
3 triangles can be make with 60,60,60 degrees.