what is the ratio of 5:2
Answers
Answer:
5/2
Step-by-step explanation:
Related Questions
solve question 5 please
Answers
The value of all the expression which have x = 5 asymptotes are,
⇒ g (x) = 3 log (x - 5)
⇒ g (x) = log₁₀ (- x + 5) - 4
⇒ f (x) = (3x + 20) / (x - 5)
We have to given that,
All the expressions are,
⇒ g (x) = 3 log (x - 5)
⇒ f (x) = √(x - 5) + 2
⇒ h (x)= eˣ⁻⁵
⇒ g (x) = log₁₀ (- x + 5) - 4
⇒ h (x) = - ∛(x - 5) + 1
⇒ f (x) = (3x + 20) / (x - 5)
Now, We can check all the expressions for which have x = 5 asymptotes.
Hence, We can substitute x = 5 in each expression and check all expression as which are not defined at x = 5,
⇒ g (x) = 3 log (x - 5)
Substitute x = 5;
⇒ g (x) = 3 log (5 - 5)
⇒ g (x) = 3 log (0)
Which is undefined.
⇒ f (x) = √(x - 5) + 2
Substitute x = 5;
⇒ f (x) = √(5 - 5) + 2
⇒ f (x) = 2
Which is defined.
⇒ h (x)= eˣ⁻⁵
Substitute x = 5;
⇒ h (x)= e⁻⁵
Which is defined.
⇒ g (x) = log₁₀ (- x + 5) - 4
Substitute x = 5;
⇒ g (x) = log₁₀ (- 5 + 5) - 4
⇒ g (x) = log₁₀ (0) - 4
Which is undefined.
⇒ h (x) = - ∛(x - 5) + 1
Substitute x = 5;
⇒ h (x) = - ∛(5 - 5) + 1
⇒ h (x) = 1
Which is defined.
⇒ f (x) = (3x + 20) / (x - 5)
Substitute x = 5;
⇒ f (x) = (3x + 20) / (5 - 5)
⇒ f (x) = (15 + 20) / (0)
Which is undefined.
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PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
4×4×4 give you 64, so closest is D
Suppose a company has a design maximum output of 280. Its actual output is 195 and its efficiency is 80%. Calculate its efficient output and its capacity utilization.
Answers
Answer:
Effective output = 224
Capacity Utilization = 80%
Step-by-step explanation:
Given the maximum output = 280
The actual output = 195
The efficiency = 80%
Below is the formula to calculate the efficiency.
Efficiency in percentage = (Effective output / Maximum output) x 100
Insert the given values in the formula.
80 =( Effective output / 280 ) x 100
Effective output = 280 x 0.8
Effective output = 224
Now the Capacity utilization ( %) = Actual output / Maximum output x 100
Capacity utilization in percentage = 224 / 280 x 100
Capacity Utilization = 80%
12. One year ago the median price for a home was $342,000. Now the current median price for a home is $215,000. What was the percent decrease in the median price of a home over the last year? Give your answer to at least one decimal place.%
Answers
One year ago the median price for a home was $342,000. Now the current median price for a home is $215,000. What was the percent decrease in the median price of a home over the last year? Give your answer to at least one decimal place.
In this problem
$342,000 ------> represents 100%
so
Applying proportion
Find out how much percentage represents the difference (342,000-215,000=127,000)
100/342,000=x/127,000
solve for x
x=(100/342,000)*127,000
x=37.1%Is y=cos(x)/x an odd function, even function, or neither
Answers
The provided function y=cos(x)/x is an odd function because f(-x) = -f(x) then it is an odd function.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
\(\rm y = \dfrac{cos(x)}{x}\)
From the definition of the even and odd function:
If f(-x) = f(x) then it is an even function
If f(-x) = -f(x) then it is an odd function
\(\rm y(-1) = \dfrac{cos(-x)}{-x}\)
\(\rm y(-1) = -\dfrac{cos(x)}{x}\)
cos(-x) = cosx
Thus, the provided function y=cos(x)/x is an odd function because f(-x) = -f(x) then it is an odd function.
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How do I prove that B is the answer? (I know that B is correct because my teacher showed the answer key.) Please answer urgently!
Answers
9514 1404 393
Answer:
2) 5.6
Step-by-step explanation:
The tangent relation is ...
Tan = Opposite/Adjacent
tan(θ) = 2.4/x = 3/7 . . . . . use the given values
x = 2.4(7/3) . . . . . . . . . . . multiply by (7/3)x
x = 5.6 . . . . . . . . . . . simplify
A cylinder has a base diameter of 12ft and a height of 12ft. What is its volume in cubic
ft, to the nearest tenths place?
Answers
Answer:
1357ft^3 but to the nearest tenths place is 1360ft^3
Step-by-step explanation:
Answer:
1357.2
Step-by-step explanation:
h=12 d=12 r=6
v=(6)∧2(12)
v=1357.16802635
v=1357.2ft∧3
T/F the condition probability of a given b must be smaller than the intersection of the same two events a and b
Answers
The condition probability of a given b must be smaller than the intersection of the same two events a and b:
This statement is False.
The condition probability of event "b" given event "a" (P(b|a)) must be less than or equal to the probability of event "b" (P(b)). This is because the occurrence of event "a" restricts the sample space to only those outcomes that belong to event "a", and thus the probability of event "b" given event "a" cannot be greater than the unconditional probability of event "b".
The concept of conditional probability is used to describe the probability of an event given that another event has already occurred.
The formula for conditional probability is
P(b|a) = P(a and b) / P(a),where P(b|a) represents the probability of event "b" given that event "a" has already occurred.
In order for this to be meaningful, it is required that P(b|a) <= P(b). This means that the probability of event "b" given that event "a" has already occurred cannot be greater than the unconditional probability of event "b".
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Select ALL the true equations.
(a) 5 + 0 = 0
(b) 15 ⋅ 0 = 0
(c) 1.4 + 2.7 = 4.1
(d) 2/3 ⋅ 5/9 = 7/12
(e) 4 & 2/3 = 5 − 1/3
Answers
Answer:
b,c,e
Step-by-step explanation: a: 5+0=5
b:15x0 =0
c: 1.4+2.7=4.1
d:2/3 x 5/9
e:4& 2/3 =5-1/3
I need help please help
Answers
Answer:
first one
28.26 im not 100% correct i dont think
i think it’s the first one
A customer buys bouquets of tulips and bouquets of roses for $.. What is the price of a bouquet of roses?
Answers
Question:
A customer buys bouquets of tulips and bouquets of roses for $40.25. The bouquet contained 17 tulips and cost $18.25. What is the price of a bouquet of roses?
Answer:
\(Rose =\$22.00\)
Step-by-step explanation:
Given
\(Total = \$40.25\)
\(Tulips = \$18.25\)
Required
The cost of a bouquet of roses
Since the customer bought a bouquet each, the formula to use is:
\(Total = Tulip + Rose\)
Make Rose the subject
\(Rose =Total - Tulip\)
\(Rose =\$40.25 - \$18.25\)
\(Rose =\$22.00\)
A bouquet of rose costs $22.00
Select each angle of rotation about the origin, (0, 0) that maps WXYZ TO W’ X’ Y’Z
Answers
The angle of rotation about the origin, (0, 0) that maps WXYZ TO W’ X’ Y’Z are
180 degrees
540 degrees
900 degrees
How to find the angle of rotationThe transformation rule for an angle of 180 degrees is simply a reflection or a flip. This means that any object or figure that undergoes this transformation will be flipped over a line or axis.
The rule is (x, y) will become (-x, -y)
Where 540 degrees = 360 + 180
where 900 degrees = 360 + 360 + 180
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A copy machine makes 44 copies per minute. How many copies does it make in minutes 5 and 15 seconds?
Answers
Answer:
231
Step-by-step explanation:
5 minutes + 15 seconds = 5.25 minutes
44 × 5.25 minutes = 231 copies
Carmen recorded data about the number of yearbooks ordered at her school. She developed the function b(t) = -300(0.95)t + 300 to model the number of yearbooks ordered t days after order forms were distributed.
In Carmen’s function, time is the ______ variable and the total number of yearbooks ordered __________.
options for 1st blank. dependent , independent
options for 2nd blank. changes by a constant rate each year , changes by a constant factor each year.
Answers
2nd blank: changes by a constant factor each year.
The Ozzie Chocolate Company is preparing to offer a new product in its candy offerings, the Minty Dark Chocolate Bite bar. Material costs per new candy bar are
$0.25 for chocolate, $0.02 for sugar, and $0.03 for mint flavoring. Labor costs of the new product are approximately $0.15 per bar. Adding a production line devoted to the new candy will cost $250,000 per year.
(a) If the sales price is $1.40 per candy bar, how many must the company make per year in order to break even? Assume that each bar made is sold at full price.
(b) What is the company's profit or loss if they make and sell 270,000 candy bars at the $1.40 price in the first year?
(c) About 20% of the food consumed in the U.S. is imported. Production in many industries has been offshored. What ethical issues do companies face when presented with the decision to move operations?
Answers
Answer:
a) 263,158
b) $164,500
c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...
Step-by-step explanation:
a)
Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000
Total revenue = 1.40x
Setting the two equations equal to each other and solving for x, we get:
(0.45)x + 250,000 = 1.40x
0.95x = 250,000
x ≈ 263,158
b)
If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:
270,000 * $1.40 = $378,000
The total cost of producing 270,000 candy bars is:
(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500
Therefore, the company's profit is:
$378,000 - $213,500 = $164,500
c)
Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...
PLEASE HELP ASAP!!!!!
Answers
Answer:
0.01296
Step-by-step explanation:
I looked it up on this website: https://www.symbolab.com/solver/simplify-calculator/simplify%206%5E%7B-1%7D.6%5E%7B5%7D?or=input
That's the link to the solution, it shows you the steps, and you can look up other simplify questions there. It used to help me a lot.
To multiply powers with the same base, add their exponents. Add −1 and 5 to get 4.
6⁴
To calculate a power, multiply the base as indicated by its exponent. So:
The number 6 is the base.4 is the exponent.Therefore the number 6 will be multiplied 4 times,
6 × 6 × 6 × 6 = 12961296 ===> Answer
NO LINKS!! URGENT HELP PLEASE!!!
Please help me with Growth rate and Initial Value only
Answers
Answer:
growth rate: 4
y-value: 19
equation: y=4x+19
Step-by-step explanation:
Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.
For the question:
The change in y-values is 11-7=4,
and the change in x-values is +1.
Therefore, the growth rate is 4.
\(\hrulefill\)
Initial Value: The initial value of a linear function is the value of the function when x is 0.
In this case, the initial value is 19.
This can be found by looking at the y-value of the point where x is 0.
In this case, the y-value is 19.
\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
Using the table you provided, we can find the slope by using two points on the line.
Let’s use (-3, 7) and (1, 23).
The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4
Now,
Taking 1 point (-3,7) and slope 4.
we can find the equation by using formula:
y-y1=m(x-x1)
y-7=4(x+3)
y=4x+12+7
y=4x+19
Therefore, the equation of the given table is y=4x+19\(\hrulefill\)
Answer:
Growth rate: 4
Initial value: 19
Equation: y = 4x + 19
Step-by-step explanation:
The slope of a linear function represents its growth rate.
Therefore, the growth rate of a linear function can be found using the slope formula.
Substitute two (x, y) points from the table into the slope formula, and solve for m. Substituting points (0, 19) and (1, 23):
\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)
Therefore, the growth rate of the linear function is 4.
The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.
From inspection of the given table, y = 19 when x = 0.
Therefore, the initial value of the linear function is 19.
To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.
As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:
\(\boxed{y=4x+19}\)
Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the 30 of the lower 48 states, the percentage loss of wetlands per state is as follows.
How are the percentages distributed? Is the distribution skewed? Are there any gaps?
How are the percentages distributed? Is the distribution skewed? Are there any gaps?
Percent of Wetland
0] 9
1] None
2] 0 4 7
3] 0 3 5 5 5 7 8
4] 2 2 5 5 8
5] 0 0 1 1 5 9 9
6] 0 8
7] 1
8] 7 7 9
9] 0
a. These data are fairly symmetric, perhaps slightly skewed right.
b. There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands.
c. The percentages are concentrated from 20% to 60%.
Answers
Answer:
The solution can be defined as follows:
Step-by-step explanation:
Wetland Percentage:
\(0] 9\\\\1] None\\\\2] 0 4 7\\\\3] 0 3 5 5 5 7 8\\\\4] 2 2 5 5 8\\\\5] 0 0 1 1 5 9 9\\\\6] 0 8\\\\7] 1\\\\8] 7 7 9\\\\9] 0\\\)
These details are very symmetrical, perhaps pretty biased.There might be a gap whereby shows that none of the 48 lowest states have lost 10 to 19% of all its wetlands.These statistics were distributed between 20% and 60%.a high school sells students tickets for $5 as well as general admission tickets for $7 to attend thier football games. The school needs to bring in at least $1500 per game in order to maintain the costs of the football team
Answers
The cost of students ticket is $37.5and the cost of general admission is $187.5.
What is system of equations?A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, also known as a system of equations or an equation system.
Assume s be the students tickets cost and g be the general admission cost.
From the given information,
⇒ s + g = 225 ..(1)
5s + 7g = 1500 ..(2)
From equation (1),
s = 225 - g
Plug the value of s in equation (2)
5(225 - g) + 7g = 1500
1125 - 5g + 7g = 1500
2g = 1500 - 1125
2g = 375
g = 187.5
Plug g = 125 in equation (1),
s + 187.5= 225
s = 225 - 187.5
s = 37.5
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Solve for x and y simultaneously in
Answers
Answer:
forgot to add a pic
Step-by-step explanation:
A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, is given by h(t)= −4.9t^2+11t+7. How many seconds does it take to reach maximum height? Enter the answer with at least 3 decimal places.
Answers
Given statement solution is :- It takes approximately 1.122 seconds for the ball to reach its maximum height.
To find the time it takes for the ball to reach its maximum height, we need to determine the vertex of the parabolic function given by the equation h(t) = \(-4.9t^2 + 11t + 7.\)
The vertex of a parabola in the form y = \(ax^2 + bx\) + c is given by the formula t = -b / (2a).
Comparing the equation h(t) = \(-4.9t^2 + 11t + 7\) to the standard form, we have:
a = -4.9
b = 11
Using the formula for the vertex, we can calculate the time it takes to reach the maximum height:
t = -11 / (2 * -4.9)
t = -11 / -9.8
t ≈ 1.122
Therefore, it takes approximately 1.122 seconds for the ball to reach its maximum height.
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The area of a cross section perpendicular to the base of a rectangular prism is 45 square inches. If the length and width of the base are 5 inches each, what is the height of the prism? The height of the prism is __ inches.
Answers
Answer:
i think it 20 if im wrong im sorry
The height of the prism is 9 inches if the area of a cross-section perpendicular to the base of a rectangular prism is 45 square inches.
What is a rectangular prism?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
Please refer to the attached picture for the figure:
We have:
The area of a cross-section perpendicular to the base of a rectangular prism is 45 square inches.
As we know the area of the rectangular face = lengthxwidth
From the figure:
The area of the rectangular face = hx5
h is the height of the rectangular prism.
45 = hx5
h = 45/5
h = 9 inches
Thus, the height of the prism is 9 inches if the area of a cross-section perpendicular to the base of a rectangular prism is 45 square inches.
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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)
Answers
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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Two angles of a triangle have the same measure and the third one is 9 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
Answer: The LARGEST angle has a measure of
degrees.
Answers
The largest angle of the triangle is ∠C = 66°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
Now , the measure of ∠A = measure of ∠B = x
And , the measure of ∠C = measure of ∠A + 9°
Substituting the values in the equation , we get
x + x + ( x + 9 ) = 180
On simplifying the equation , we get
3x + 9 = 180
Subtracting 9 on both sides of the equation , we get
3x = 171
Divide by 3 on both sides of the equation , we get
x = 57°
So , the measure of ∠A = 57°
Now , the measure of ∠C = 57 + 9 = 66°
Hence , the measure of ∠C of triangle is 66°
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What is a car’s speed in m/s if it travels 5 m in 0.2s?
Answers
Answer: 25 m/s
ignore ignore
HELP I NEED ANSWER ASAP
Answers
The rule that best describes the dilation of triangle ABC to create triangle A'B'C' is given as follows:
a. (x,y) -> (2x, 2y).
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
Considering a scale factor of k, the rule is given as follows:
(x,y) -> (kx, ky).
The scale factor for this problem is given as follows:
k = 2.
(as the larger triangle is formed as a dilation of the smaller triangle).
Hence the rule is given as follows:
(x,y) -> (2x, 2y).
Meaning that the correct option is given by option A.
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From a survey of 100 college students, a marketing research company found that 55 students owned iPods, 25 owned cars, and 5 owned both cars and iPods.
How many students do not own either a car or an iPod?
Answers
Answer:
Correct option is B)
n(AUB)=n(A)+n(B)−n(A∩B)
=75+45−35
=85
number of students owing car or stereos=85
number of students neither car nor stereo =100−85=15
The number of students who do not own either a car or an iPod is 25.
What is union of sets?Union of two given sets is the smallest set which contains all the elements of both the sets.
What is intersection of sets?Intersection of two given sets is the largest set which contains all the elements that are common to both the sets
What is the formula for union of two sets?The union of two sets is given by
n(A∪B) = n(A) + n(B) -n(A∩B)
Where,
A and B are the two sets.
∪ is the union
∩ is the intersection.
According to the given question.
Total number of students in a college = 100
Total number of students who own iPods, n(A) = 55
Total number of students who own cars, n(B) = 25
Number of students who own both cars and iPods, n(A∩B) = 5
Therefore,
The number of students who own cars or iPods is given by
n(A∪B) = n(A) + n(B) - n(A∩B)
⇒n(A∩B) = 55 + 25 - 5
⇒ n(A∪B) = 75
So, the number of students who do not own either a car or an iPod
= 100 - 75
= 25
Hence, the number of students who do not own either a car or an iPod is 25.
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Answers please I need it done ASAP
Answers
Answer:
1) 11^42. [. ( a^b)^c is a^bc]
2) 5^5. [a^b/a^c= a^(b-c)
3) 14^24
4) 3^10
Name two characteristics of the Fibonacci Series that you observed.
Answers
Answer:
See the answers below
Step-by-step explanation:
Name two characteristics of the Fibonacci Series that you observed.
If we take a closer look at the Fibonacci series, we will notice the following characteristics
1.The next number is the sum of the two preceding numbers
2. Another interesting characteristic is evidenced in the convergence of the sequence