"The set of all functions from X to Y" refers to the collection of all possible functions that can be defined from a set X to a set Y. This set is denoted as Y^X or X→Y.
Each element of the set Y^X is a function that maps each element of set X to a unique element of set Y. The notation for such a function f is f: X → Y.
Given,
f is a function from X to Y .
Note:
The cardinality (size) of the set Y^X is given by |Y^X| = |Y|^|X|. In other words, if the set X has m elements and the set Y has n elements, then the set of all functions from X to Y has n^m elements.
It is often used to describe the space of all possible solutions to a given problem or equation.
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There are how many halves in 2 1/2
Answer:
there are 5 halves in 2 1/2
Answer:
5
Step-by-step explanation:
1/2 +1/2 = 1
Please answer today or tomorrow. The outside temperature was 5 degrees Fahrenheit. How many degrees below the freezing point of water was the temperature?
Answer:
water freezes in 32 degrees
so 32-5=27
so it was 27 degrees bellow the freezjng point of water
4. The two lines represent the distance, over time, that two cars are traveling. Which car is traveling faster? Explain how you know. Show your reasoning.
ignore the line at the top that is connecting the two lines.
Answer:
b
Step-by-step explanation:
how many different types of omlettes can be prepared with 10 ingredients?
how many different types of omlettes can be prepared with 10 ingredients? 7
Answer:
1024 omelets
Step-by-step explanation:
2^10 = 1024
Evaluate each expression for r= -3 and s= 5. 3r/ s-2
Answer:
-3
Step-by-step explanation:
replace the letters with the number, 3(-3) / (5)-2
evaluate, -9 / 3
divide, -3
samantha mixes some amount of 25% sugar syrup with x grams of 10% sugar syrup. the result is120 grams 15% sugar syrup. how many grams of 25% sugar syrup did samantha use?
Answer:
Final mixture is 120 gm
x = 10% then (120-x) = 25%
.25(120-x) + .1 (x) = .15 (120) solve for x= 10% amount
then 25% amount = 120-x
Step-by-step explanation:
how to solve this separable differential equation?
The solution to the differential equation \(2^{\sqrt{x}}\frac{dy}{dx} = cosce(ln(y))\) is,
\(\frac{y sin(ln(y))}{2} - \frac{y cos(ln(y))}{2} = C - \frac{2 ln(2) \sqrt{x} + 2}{ln^2(2)2^{\sqrt{x}}}\).
What is a differential equation?Any equation with at least one ordinary or partial derivative of an unknown function is referred to as a differential equation.
The given differential equation is \(2^{\sqrt{x}}\frac{dy}{dx} = cosce(ln(y))\).
Now, multiplying both sides by dx we,
\(2^{\sqrt{x}}dy = cosce(ln(y))dx\).
Dividing both sides by \(2^{\sqrt{x}}\) we have,
\(sin(ln(y))dy = \frac{dx}{2^{\sqrt{x}}}\).
\(\[ \int sin(ln(y))dy = \int \frac{dx}{2^{\sqrt{x}}}\).
\(\frac{y sin(ln(y))}{2} - \frac{y cos(ln(y))}{2} = C - \frac{2 ln(2) \sqrt{x} + 2}{ln^2(2)2^{\sqrt{x}}}\).
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What is the equation of this line in slope-intercept form?
Question 2 options:
y= −1/2x+1
y= −1/2x+2
y= 1/2x+1
Answer:
y=-1/2x+2
Step-by-step explanation:
for x-intercept
put y=0
0= -1/2x+2
1/2x=2
x=4
(4,0)
for y-intercept
put x=0
y= 2
(0,2)
If it rains 40% of the days in April, how many days will it rain? (HOW DID YOU GET YOUR ANSWER. PLEASE SHOW WORK!! ONLY ANSWER IF YOU SHOW ON HOW YOU GOT YOUR ANSWER!!!)
A. 12
B. 1/169
C. 11 1/8
D. 60%
E. 0.5
F. 2/112
G. 25%
H. 0.25
I. 25
Step-by-step explanation:
40% of 30 dsys =12 by dividing
9514 1404 393
Answer:
A. 12
Step-by-step explanation:
"Of" means "times" when you're talking about percentages. 40% of 30 means 40% times 30:
40% × 30 = 40/100 × 30 = 1200/100 = 12
40% of 30 days is 12 days
_____
In general "%" and "/100" are interchangeable. They mean the same thing.
Help please. 20 points.
Answer:
(5, 10) 1st quadrant
Step-by-step explanation:
What is the solution to the equation y/y-4 -4/y+4=32/y2-16?
Answer:
No solution
Step-by-step explanation:
For the equation given, we have an alternate form that is
\(\dfrac{y^2 + 16}{y^2-16} =\dfrac{32}{y^2-16}\)
It is clear that
\(y^2+16 = 32 \implies y=4, y=-4\)
But the denominator goes to zero and it is undefined.
If you take
\($\lim _{y\to 4}\left(\dfrac{y^2+16}{y^2-16}\right)$\)
you'll see that
\($\lim _{y\to 4^-}\left(\dfrac{y^2+16}{y^2-16}\right) = -\infty$\)
\($\lim _{y\to 4^+}\left(\dfrac{y^2+16}{y^2-16}\right) =\infty$\)
It diverges and the limit does not exist.
What is 1 4/7 + 1/8 ?
Answer:
\(\frac{95}{56}\) or \(1\frac{39}{56}\)
Step-by-step explanation:
hope this helps have a good day :)
Answer:
Decimal Answer: 1.7
Fraction Answer: 1 39/56
16m^2+60m-54
Factor
Find the Horizontal or Vertical distance between the two points:
Answer:
5 units of vertical distance
Step-by-step explanation:
just count
the temperature is -56F. How many degreees below zero is the temperature?
The number of degrees below zero is given by A = 56° F
What is Modulus Function?Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.
It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.
The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:
If x is positive, then f(x) = x
If x = 0, then f(x) = 0
If x < 0, then f(x) = -x
Given data ,
Let the initial temperature be represented as T
Let the number of degrees below zero be A
Now , the value of T is
T = -56° F
From the modulus function , we get
The value of the modulus function is always non-negative.
So , the measure of A = | T |
A = | -56 |
A = 56° F
Hence , the number of degrees below zero is 56° F
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Students at Sunnyvale Middle School volunteered to work a 2-hour shift at a
car wash fundraiser. The table shows the number of people who worked each
shift and how many cars they washed.
Is the relationship between the number of
cars washed and the number of workers
proportional? Complete the statement.
The number of cars washed per person
?
of workers, so the relationship is
the same for each number
?
People Working
4
6
8
10
Cars Washed
8
12
20
25
The relationship in this problem is not proportional, as there are different ratios between the number of people and the number of cars washed.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:
y = kx.
The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.
The ratios between the output and the inputs are given as follows:
8/4 = 2.12/6 = 2.20/8 = 2.5.25/10 = 2.5.Different ratios, hence the relationship is not proportional.
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Write and solve a proposition that the teacher can use to estimate how many students in the whole school would choose the aquarium.
Answer:
Let's assume that the total number of students in the school is "x". We can create a proportion to estimate how many students would choose the aquarium based on the given information:
Number of students who chose aquarium / Total number of students in the school = Percentage of students who chose aquarium / 100
We can plug in the values we know:
80 / x = p / 100
where "p" is the percentage of students who would choose the aquarium if the entire school were surveyed.
We can solve for "x" by cross-multiplying and simplifying:
8000 = px
x = 8000 / p
Now, we need to estimate the value of "p". We can do this by finding the average percentage of students who chose the aquarium, science center, planetarium, and farm:
(80 + 60 + 30 + 40) / x = (210 / x) = Average percentage of students who chose an attraction
This tells us that, on average, 210 out of every "x" students would choose one of the attractions. We can estimate that a similar percentage of the entire school would choose the aquarium:
p / 100 = 80 / 210
p = 38.1
So, we can estimate that approximately 38.1% of the students in the whole school would choose the aquarium. To find the estimated number of students who would choose the aquarium, we can plug in this value for "p" in our original proportion:
80 / x = 38.1 / 100
Cross-multiplying and solving for "x", we get:
x = 209.71
Rounding to the nearest whole number, we can estimate that approximately 210 students in the whole school would choose the aquarium.
Step-by-step explanation:
Answer:
The teacher surveyed a total of:
80 + 60 + 30 + 40 = 210 students.
If we assume that the sample of 210 students surveyed is representative of the entire population of 1000 students at Lake Middle School, we can use the relative frequency of students choosing the aquarium in the sample to estimate the number of students in the whole school who would choose the aquarium.
The relative frequency of students choosing the aquarium in the sample is:
80/210 = 0.38
This means that approximately 38% of the students in the sample chose the aquarium.
To estimate the number of students in the whole school who would choose the aquarium, we can multiply the relative frequency by the total number of students at the school:
0.38 x 1000 = 380
Therefore, the teacher can estimate that approximately 380 students out of 1000 at Lake Middle School would choose the aquarium for a field trip.
Can you make a conjecture about the relationship between the original number and the final number?
Answer:
merdeka woyy
wkwosn
merdeka bgt loch
A cylinder has a height of 18 cm and a diameter of 12 cm. Calculate the surface area of the cylinder. Give your answer to the nearest integer.
The surface area of the cylinder is 905 square centimeters
Finding the surface area of the cylinderFrom the question, we have the following parameters that can be used in our computation:
Diameter, d = 12 cm
Height, h = 18 m
This means that
Radius, r = 12/2 = 6 cm
Using the above as a guide, we have the following:
Surface area = 2πr(r + h)
Substitute the known values in the above equation, so, we have the following representation
Surface area = 2π * 6 * (6 + 18)
Evaluate
Surface area = 905
Hence, the surface area is 905 square centimeters
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1. What is the measure
of ZABC?
A
98⁰
B
tc
2.
Answer:
∠ ABC = 49°
Step-by-step explanation:
the chord- tangent angle ABC is half the measure of the intercepted arc AB
∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°
How many ounces are 12 pounds? (There are `16 ounces in one pound) A. 160oz B. 176oz C. 192oz
Answer: 192 oz
Step-by-step explanation:
thats the answer
which is best represented by the following equation 55x + 75.25 = 680.25
Answer:
11
Step-by-step explanation:
680.25-75.25=605
605÷55=11
Answer:
11
Step-by-step explanation:
I'LL GIVE BRAINLIST!!! 1. Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
C = 109.3°
a = 5.6 km
b = 10.7 km
Answer:
c=13.6km, B=47.9⁰, A=22.8⁰,
Using the cosine rule, the missing parts of the triangle are:
c = 13.6 km; B = 47.9°; C = 22.8°
What is the Cosine Rule?Cosine rule is given as, c² = a² + b² ﹣ 2ab(cosC)
Given the following:
C = 109.3°a = 5.6 kmb = 10.7 kmFind c using the cosine rule:
c² = 5.6² + 10.7² ﹣ 2(5.6)(10.7)(cos 109.3)
c² = 185.5
c = √185.5
c = 13.6 km.
Use the cosine rule to find A:
5.6² = 10.7² + 13.6² ﹣ 2(10.7)(13.6)(cosA)
31.36 = 299.45 ﹣ 291.04(cosA)
31.36 - 299.45 = ﹣ 291.04(cosA)
-268.09 = ﹣ 291.04(cosA)
0.9211 = (cosA)
C = cos^(-1)(0.9211)
C = 22.8°
Find B:
B = 180 - 22.8 - 109.3
B = 47.9°
Therefore, using the cosine rule, the missing parts of the triangle are:
c = 13.6 km; B = 47.9°; C = 22.8°
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What is the slope of the line that contains the points (-8, 7) and (-4, -5)? A. -3 B. 1 3 C. 3 D. - 1 3
Answer: A.
Step-by-step explanation:
Molly's scout troop sold 148 boxes of cookies last month and 165 boxes this month. Find the percent of increase, rounded to the nearest tenth of a percent.
The percent of the increase, rounded to the nearest tenth of a percent, concerning the sales of boxes of cookies that Molly sold last month and this month, is 11.5%.
How is the percentage increase determined?The percentage increase can be determined by finding the difference or the amount of increase in sales.
This difference is divided by the previous month's sales and multiplied by 100.
The total number of boxes of cookies Molly's Scout Troop sold last month = 148
The total number sold this month = 165
The increase = 17 (165 - 148)
Percentage increase = 11.5% (17 ÷ 148 x 100)
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Zuri drove at an average speed of
50
mi/h from her home in Orlando to visit her sister in Tucson. She stayed in Tucson
10
hours, and on the trip back averaged
55
mi/h. She returned home
49
hours after leaving. How many miles is Orlando from Tucson?
a) Write an equation using the information as it is given above that can be solved to answer this question. Use
t
as your variable to represent the amount of time Zuri spent driving from Orlando to Tucson.
Equation:
b) How many miles is Orlando from Tucson?
Answer: miles
Orlando is approximately 1021.5 miles from Tucson.
a) Let's use the formula: distance = rate x time.
Let t be the time Zuri spent driving from Orlando to Tucson.
Then, the time she spent driving from Tucson to Orlando would be 49 - 10 - t = 39 - t (subtracting the time she stayed in Tucson and the time she already spent driving from Orlando to Tucson from the total time).
Using the formula, we can write two equations:
distance from Orlando to Tucson = 50t
distance from Tucson to Orlando = 55(39 - t)
The total distance traveled is the same in both directions, so we can set the two equations equal to each other and solve for t:
50t = 55(39 - t)
50t = 2145 - 55t
105t = 2145
t = 20.43
b) Now that we know the time it took for Zuri to travel from Orlando to Tucson, we can use one of the equations above to find the distance:
distance from Orlando to Tucson = 50t
distance from Orlando to Tucson = 50(20.43)
distance from Orlando to Tucson = 1021.5
Therefore, Orlando is approximately 1021.5 miles from Tucson.
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Orlando is approximately 1021.5 miles from Tucson.
What is the linear equation?
A linear equation is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.
a) Let's use the formula: distance = rate x time.
Let t be the time Zuri spent driving from Orlando to Tucson.
Then, the time she spent driving from Tucson to Orlando would be 49 - 10 - t = 39 - t (subtracting the time she stayed in Tucson and the time she already spent driving from Orlando to Tucson from the total time).
Using the formula, we can write two equations:
distance from Orlando to Tucson = 50t
distance from Tucson to Orlando = 55(39 - t)
The total distance traveled is the same in both directions, so we can set the two equations equal to each other and solve for t:
50t = 55(39 - t)
50t = 2145 - 55t
105t = 2145
t = 20.43
b) Now that we know the time it took for Zuri to travel from Orlando to Tucson, we can use one of the equations above to find the distance:
distance from Orlando to Tucson = 50t
distance from Orlando to Tucson = 50(20.43)
distance from Orlando to Tucson = 1021.5
Therefore, Orlando is approximately 1021.5 miles from Tucson.
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Evaluate the following permutations and combination
a) N = ( 3P4 ) ( 5P2 ) b) N = (3C2) / (4C2)
By using the definitions of combinations and permutations:
a) The first permutation is not defined.
b) N = (³C₂) / (⁴C₂) = 1/2.
How to evaluate the permutations and combinations?A permutation:
ⁿPk is written as:
ⁿPk= n!/(n - k)!
(the denominator only appears if nk)
And a combination is written as:
ⁿCk = n!/(n - k)ka)
We have the product of two permutations, but there is a problem:3P4 The first number is the size of the set, and the second is the number of elements we take from that set.
In that permutation we have a set of 3 elements and we need to select 4, so that permutation is not defined.
b) (³C₂) = 3!/(3 - 2)!*2! = (3*2*1)/(2*1) = 3
(⁴C₂) = 4!/(4 - 2)!*2! = (4*3*2*1)/[(2*1)*(2*1)]
= 3*2 = 6
Then the quotient can be written as:
(³C₂) (⁴C₂) = 3/6 = 1/2.
Note that A quotient is seen as the outcome of dividing two numbers by each other.
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Cuales son los factores de 35?
Answer:
Los factores de 35 son 1, 5, 7, 35 y sus factores negativos son -1, -5, -7, -35.
The factors of 35 are 1, 5, 7, 35, and its negative factors are -1, --5, -7, -35.
My dance lesson starts at 11:40 am. It always 1 your and 10 minutes what time does it end?
Answer:
Step-by-step explanation:
This may be wrong but hear me out, 40+10 is 50 and 11+1 is 12, so 12:50?
The table shows the monthly rainfall at a measuring station. What is the mean monthly rainfall? Round your answer to the nearest thousandth.
The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.
To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:
| Month | Rainfall (in inches) |
|-------|----------------|
| January | 2.3
| February | 1.7
| March | 3.2
| April | 2.9
| May | 2.5
To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:
Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5
Calculating the sum of the rainfall values:
Mean Monthly Rainfall = 12.6 / 5
Dividing the sum by the number of months:
Mean Monthly Rainfall = 2.52
Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.
Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.
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