When Kirill and Max work together, they can complete 11/60 of the puzzle in one hour.
To find out what part of the puzzle Kirill and Max can complete together in one hour, we need to calculate their combined work rate.
Step 1: Find the work rate of Kirill.
Kirill can complete the puzzle in 10 hours, so his work rate is 1/10 of the puzzle per hour.
Step 2: Find the work rate of Max.
Max can complete the puzzle in 12 hours, so his work rate is 1/12 of the puzzle per hour.
Step 3: Add Kirill's and Max's work rates together.
(1/10) + (1/12) = (12 + 10) / (10 * 12) = 22 / 120
Step 4: Simplify the fraction.
The simplified fraction is 11/60.
So, when Kirill and Max work together, they can complete 11/60 of the puzzle in one hour.
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please help me complete these -5a^2+ 5a = _______(a – 1) and 18x^2 + 2x³ = _______(9 + x) I need to complete the blanks
Answer:
Step-by-step explanation:
-5a^2+ 5a factors as follows: -5(a - 1) (so -5 goes into the blank space).
18x^2 + 2x³ factors as follows: 2x^2(x + 9) (so 2x^2 goes into the blank space)
Please answer this question for me
I GOT THIS ANSWER
IS THIS RIGHT?
What is the difference between frequency distributions and percentage distributions, and how are they used differently
Frequency distributions, count the number of times each value or range of values appears in a dataset, while percentage distributions show the proportion or percentage of times each value or range of values appears in the dataset.
Frequency distributions are useful for summarizing and describing the distribution of a variable in a data set, while percentage distributions are useful for comparing different variables or subgroups within the data set.
For example, a frequency distribution could be used to show the number of hours of sleep each participant in a study gets per night, while a percentage distribution could be used to compare the number of hours of sleep between males and females in the study.
Frequency distributions and percentage distributions provide different perspectives on the same data set and can be used together to gain a more complete understanding of the data.
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Find the inequality represented by the graph.
Answer:
y= -1/3x+1
Step-by-step explanation:
consider the vector spaces p0, p1, p2, … pn where pk is the set of all polynomials of degree less than or equal to k, with the standard operations. show that if j £ k, then pj is a subspace of pk
pj is a subspace of pk.
To show that pj is a subspace of pk, we need to show that it satisfies the three properties of a subspace:
1 Closure under addition: If f(x) and g(x) are polynomials in pj, then their sum f(x) + g(x) is also a polynomial in pj.
2 Closure under scalar multiplication: If f(x) is a polynomial in pj and c is a scalar, then cf(x) is also a polynomial in pj.
3 Contains the zero vector: The zero polynomial, which is a polynomial of degree less than or equal to k, is in pj.
To prove the closure under addition property, let f(x) and g(x) be polynomials in pj. Since f(x) and g(x) are polynomials of degree less than or equal to j, their sum f(x) + g(x) is also a polynomial of degree less than or equal to j. Thus, f(x) + g(x) is in pj.
To prove the closure under scalar multiplication property, let f(x) be a polynomial in pj and c be a scalar. Since f(x) is a polynomial of degree less than or equal to j, cf(x) is also a polynomial of degree less than or equal to j. Thus, cf(x) is in pj.
Finally, since the zero polynomial is a polynomial of degree less than or equal to k, it is also a polynomial of degree less than or equal to j. Therefore, the zero polynomial is in pj.
Since pj satisfies all three properties of a subspace, we can conclude that pj is a subspace of pk.
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In the year 2005, the age-adjusted death rate per 100,000 Americans for heart disease was 245.9. In the year 2007, the age-adjusted death rate per 100,000 Americans for heart disease had changed to 235.1. a) Find an exponential model for this data, where t = 0 corresponds to 2005. (Keep at least 5 decimal places.) Dt
b) Assuming the model remains accurate, estimate the death rate in 2031. (Round to the nearest tenth.)
To find an exponential model for the given data on age-adjusted death rates for heart disease in 2005 and 2007, we can use exponential regression. Using this model, we can estimate the death rate in 2031 assuming the model remains accurate.
Let's denote the age-adjusted death rate as D(t), where t represents the number of years since 2005. From the given data, we have two points: (0, 245.9) for the year 2005 and (2, 235.1) for the year 2007. Using the general form of an exponential model, D(t) = a * e^(kt), where a and k are constants, we can set up a system of equations: 245.9 = a * e^(0 * k), 235.1 = a * e^(2 * k). Simplifying the equations, we find a = 245.9 and k ≈ -0.0122. Therefore, the exponential model for the data is: D(t) = 245.9 * e^(-0.0122t). To estimate the death rate in 2031 (t = 26), we substitute t = 26 into the model: D(26) ≈ 245.9 * e^(-0.0122 * 26). Calculating this expression, the estimated death rate in 2031 is approximately 166.2 per 100,000 Americans.
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solve (x - 4)^2 = 5
A. x = -4 ± √5
B. x = 9 and x = - 1
C. x = 5 ± √4
D. x = 4 ± √5
The graph below shows the number of calories in a give number of donuts.
Write an equation to find the total calories.
y= 100x
y=300x
y=150x
y=600x
? huh ?
Step-by-step explanation:
Can you show the Graph
Help please
Solve for j.
j=
The total entrance fee for a group of 4 adults and 3 children to a water park is $220.
The total fee for a group of 2 adults and 1 child is $98. Determine the entrance fee for
an adult and the entrance fee for a child.
What does the solution represent in terms of this situation?
The entrance fee in the water park for the adult $37 and for the child are $24.
What basically is a two-variable linear equation?The maximum power of a variable in a linear equation of two variables is one.
A linear equation with two variables raised the same power is a two-variable equation.It is written as ax + by + c = 0, where a, b, and c have all become real numbers, but a and b remain not equal to zero.3x + 9y = 5 and -x + 8y = 6 are both two-variable linear equations.Now, for the question's given condition;
Let the cost for the adult is 'x'.
Let the cost for the child is 'y'.
The total cost for entrance fee is $220.
The group of 4 adults and 3 children costs 220.
4x + 3y = 220 ........equation 1
The group of 2 adults and 1 child costs $98.
2x + y = 98 .........equation 2
Use elimination method to solve the equations;
x = 37 and y = 24.
Therefore, the entrance fee in the water park for the adults is $37 and for the child us $24.
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Write an equation for the line parallel to the given line that contains C.
5
C(1,7); y=x+4
The equation of the line parallel to the given line that contains C is obtained as y = x + 6.
What is termed as the parallel lines?Parallel lines are two or more lines which lie within the same plane but never intersect. They are equal in distance and have the same slope. Parallel lines have been straight lines which never meet, no matter how far they are extended. Numerous pairs of angles are formed when two parallel lines have been intersected by another line known as a transversal.For the given question;
The equation of the line is given as;
y = x + 4
The standard form of the equation of line in slope intercept form is;
y = m x + c
where, m is the slope and c is the y intercept.
On comparing;
m₁ = 1
Now, the other lien is parallel to the given line.
Thus, slopes of both lines will be equal.
m₁ = m₂ = 1
The passing points of the line are;
(x₁, y₁) = C(1, 7)
Now, the equation of lien will be;
y - y₁ = m₂(x - x₁)
Put the values;
y - 7 = 1(x - 1)
Simplifying.
y = x + 6
Thus, the equation of the line parallel to the given line that contains C is obtained as y = x + 6.
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Write a sentence for this equation.
2+3n=4n
Answer: 4 times a number equals 2 plus 3 times a number
Step-by-step explanation: (NMA)
Suppose ACT Mathematics scores are normally distributed with a mean of 21.321.3 and a standard deviation of 5.35.3. A university plans to send letters of recognition to students whose scores are in the top 11%. What is the minimum score required for a letter of recognition
The minimum score required for a letter of recognition is approximately 28.1 (rounded to one decimal place).
The minimal rating required for a letter of recognition, we want to locate the rating that corresponds to the pinnacle 11% of the distribution.
The z-score that corresponds to the pinnacle 11% of the distribution.
A trendy everyday distribution desk or calculator to discover this value:
P(Z > z) = 0.11
From the table, we discover that the z-score that corresponds to a cumulative likelihood of 0.11 is about 1.22.
Next, we can use the formulation for standardizing a score:
z = (x - μ) / σ
Rearranging this formula, we can remedy for x:
x = z × σ + μ
Substituting the values given in the problem, we get:
x = 1.22 × 5.3 + 21.3
x = 28.066
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Let T:V + W be a linear function. (a) (4 points) Define ker(T) and show that it is a subspace of V. (b) (4 points) Define T(V) and show that it is a subspace of W. (c) (2 points) Suppose dim(V) > dim(W). Show that T is not one to one.
In this problem, we are given a linear function T: V → W, and we need to discuss and prove certain properties related to the kernel of T, the image of T, and the injectivity of T.
(a) The kernel of T, denoted ker(T), is the set of all vectors in V that map to the zero vector in W under the function T. To show that ker(T) is a subspace of V, we need to prove three conditions: (i) the zero vector is in ker(T), (ii) ker(T) is closed under vector addition, and (iii) ker(T) is closed under scalar multiplication.
(b) The image of T, denoted T(V), is the set of all vectors in W that are the image of some vector in V under the function T. To show that T(V) is a subspace of W, we need to prove the same three conditions as in part (a): (i) the zero vector is in T(V), (ii) T(V) is closed under vector addition, and (iii) T(V) is closed under scalar multiplication.
(c) Suppose dim(V) > dim(W). If T were one-to-one, it would mean that for every vector v in V, there is a unique vector w in W such that T(v) = w. However, since dim(V) > dim(W), it implies that there are more vectors in V than in W. This means that there must be at least two vectors v1 and v2 in V that map to the same vector w in W under T. Hence, T cannot be one-to-one.
By proving these properties, we establish the characteristics and relationships between the kernel, image, and injectivity of the linear function T.
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Marking brainliest!!
Was the KKK prominent people ?
The scale for a drawing is 1 centimeter to 5 meters. If the actual object is 35 meters, the drawing is how long?
Answer:
7centimeters
Step-by-step explanation:
it just is lololololol
Answer:
7
Step-by-step explanation:
Suppose you have an outdoor vegetable garden with dimensions 2 mx2 m. A storm lasting 1 hr delivers 0.8 inches of rain. a. What is the storm rainfall flux? Express your answer using each of the following units: m 2
hr
kgliquid water m 2
hr
lb liquid water m 2
hr
liters liquid water m 2
hr
gallons liquid water b. How much liquid water fell on your garden? Express your answer using each of the following units:
The storm rainfall flux is 0.00127 m2/hr, 1.27 kg liquid water/m2hr, 2.8 lb liquid water/m2hr, 1.27 liters liquid water/m2hr, and 0.335 gallons liquid water/m2hr. The amount of liquid water fell on the garden is 80.6 L, 21.3 gallons.
Dimensions of outdoor vegetable garden = 2 m × 2 m
Storm rainfall = 0.8 inches of rain
Time of storm = 1 hr(
a) The rainfall flux is the amount of rainfall per unit area and unit time. It is given as:
Rainfall flux = (Amount of rainfall) / (Area × Time)
Given the area of the garden is 2 m × 2 m, and the time is 1 hr, the rainfall flux is:
Rainfall flux = (0.8 inches of rain) / (2 m × 2 m × 1 hr)
Converting inches to meters, we get:
1 inch = 0.0254 m
Therefore,
Rainfall flux = (0.8 × 0.0254 m) / (2 m × 2 m × 1 hr) = 0.00127 m/hr
Converting the rainfall flux to other units:
In kg/hr:
1 kg of water = 1000 g of water
Density of water = 1000 kg/m3
So, 1 m3 of water = 1000 kg of water
So, 1 m2 of water of depth 1 m = 1000 kg of water
Therefore, 1 m2 of water of depth 1 mm = 1 kg of water
Therefore, the rainfall flux in kg/hr = (0.00127 m/hr) × (1000 kg/m3) = 1.27 kg/m2hr
In lbs/hr:
1 lb of water = 453.592 g of water
So, the rainfall flux in lbs/hr = (0.00127 m/hr) × (1000 kg/m3) × (2.20462 lb/kg) = 2.8 lbs/m2hr
In liters/hr:
1 m3 of water = 1000 L of water
So, 1 m2 of water of depth 1 mm = 1 L of water
Therefore, the rainfall flux in L/hr = (0.00127 m/hr) × (1000 L/m3) = 1.27 L/m2hr
In gallons/hr:
1 gallon = 3.78541 L
So, the rainfall flux in gallons/hr = (0.00127 m/hr) × (1000 L/m3) × (1 gallon/3.78541 L) = 0.335 gallons/m2hr
(b) To calculate the amount of water that fell on the garden, we need to calculate the volume of water.
Volume = Area × Depth.
The area of the garden is 2 m × 2 m.
We need to convert the rainfall amount to meters.
1 inch = 0.0254 m
Therefore, 0.8 inches of rain = 0.8 × 0.0254 m = 0.02032 m
Volume of water = Area × Depth = (2 m × 2 m) × 0.02032 m = 0.0806 m3
Converting the volume to other units:
In liters:
1 m3 of water = 1000 L of water
Therefore, the volume of water in liters = 0.0806 m3 × 1000 L/m3 = 80.6 L
In gallons:
1 gallon = 3.78541 L
Therefore, the volume of water in gallons = 80.6 L / 3.78541 L/gallon = 21.3 gallons.
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Solve (x - 3)2 = 5.
O A. x = 8 and x = -2
B.
X = -35
C. X-5+13
Ô D. x = 3 + 6
Answer:
11/2
Step-by-step explanation:
PLS DO NUMBER 3 WILL MARK BRAINLIEST AND ADD 100 MORE POINTS HURRY PLEASE! THANK YOU
Answer: it should be 22
Step-by-step explanation:
If you put both of them into a TI-84 calculator and look at the equations, the y intercepts are 3 and -19 which are 22 units apart.
Answer:
22/-22
Step-by-step explanation:
First find the equation of graph
m = rise/run = 32-15/6-4 = 17/2 = 8.5
y = mx + b (feel free to use point slope form if you learned it, its much faster)
66 = 8.5(10) + b
66 = 85 + b
-19 = b
y = 8.5x - 19
Distance b/w y-int = -19 - 3 = -22 units or 22 units depending on where you're counting from
please help i’m so confused
Answer:−x+6
x
Step-by-step explanation:
help me again, please ...
Answer:
French - 168
Spanish - 120
German - 72
Step-by-step explanation:
56 + 40 + 24 = 120
360/120 = 3
56 x 3 = 168
40 x 3 = 120
24 x 3 = 72
Which exponential function is equivalent to the geometric sequence an
= 7.5 (3)(n-1);
Answer:
f(x)=3^x
Step-by-step explanation:
assuming the n-1 is the exponent,
f(x)=3^x
the -1 is removed due to a graph starting at 0
The outline of Pete's garage floor is shown. Pete wants to paint the floor of his garage. How many square feet of paint does he need to cover it?
Pete needs 270 sq ft. of paint for his garage floor.
The formula for area of a trapezoid is
A=(a+b)/2h
a=18 base
b=12 base
h=18 height
A=(18+12)/2*18
A=270
So, Pete needs 270 sq ft. of paint for his garage floor.
Describe the slope of two points.
Marcus plots the point (4, 7) in Quadrant I on the coordinate plane. Nicole then plots the point (4, –3) in Quadrant IV of the same graph. Explain what the line that goes through those two points would look like, and evaluate the slope
Answer:
sample response: Since both points have the same x-coordinate, the line would be vertical. A vertical line has no slope because the run of the graph, which is the denominator, is zero and therefore an undefined fraction.
Step-by-step explanation:
Kimberly has 20.95 in her purse. She buys lunch for $9.67. How much does she have left?
Answer:
Kimberly has $11.28 left
Step-by-step explanation:
$20.95 - $9.67 = $11.28
In how many ways can one select two professors among 12 CS professors, 6 Math professors and 5 Statistics professors, so that each professor is from a different field
The number of ways to select two professors from different fields is 360.
We have,
To select two professors, one from each field (CS, Math, and Statistics), we need to multiply the number of choices in each field.
Number of ways to select one CS professor from 12: 12
Number of ways to select one Math professor from 6: 6
Number of ways to select one Statistics professor from 5: 5
By the multiplication principle, the total number of ways to select two professors, one from each field, is:
12 x 6 x 5 = 360 ways
Thus,
The number of ways to select two professors from different fields is 360.
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Describe fully single transformation that maps triangle A onto triangle B
The transformation that maps triangle A onto triangle B is reflecting triangle A from y = 4.
Given,
Triangle A and triangle B in x - y coordinates.
Here,
Triangle A stretches from 4 to 5 in y axis.
Triangle A stretches from -4 to 1 in x axis.
Similarly,
Triangle B stretches from 3 to 4 in y axis.
Triangle B stretches from -4 to 1 in x axis.
From the stretches of triangles it is clear that x axis stretch remains same.
Therefore triangle B is the reflection of triangle A from y = 4.
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CAN SOMEONE HELP :) IF YOU CAN TYSM!
Answer:
i. x = -0.5 and 1.5; ii. x = 1.5
Step-by-step explanation:
For part i, we can take a look at the x-intercepts of the parabola. When a quadratic equation equals 0, this means that we are taking a look at its roots, or solutions.
The parabola intersects the x-axis at approximately -0.5 and 1.5. We can say this is an estimate to the solutions.
For part ii, the question is asking the x value that makes the function equal 2. We just look at the point where y = 2, which happens to be 1.5. So when x = 1.5, y = 2, which is what we want.
I hope this helps!
(-3,-1)(-2,1)(-1,3)(0,5)(1,1)(2,1)(3,1)(4,1)(5,1) domain
Suppose that the supply and demand equations of a new CD at a store are given by q=3p-12 and q=-2+23 respectively, where p is the unit price of the CD's in dollars and q is the quantity.
(a) what is the supply when the price is $10?
(B) what is the demand when the price is $10?
(C) find the equilibrium price and the corresponding number of units supplied and demanded.
(D) find where the two lines cross the horizontal axis and give an economic interpretation of these points
(a) The supply when the price is $10 is 18 units. (b) The demand when the price is $10 is 21 units. (c) The equilibrium price is $7, and both the quantity supplied and demanded at this price are 9 units. (d) The supply curve crosses the horizontal axis at the point (4, 0), indicating that at a price of $4, there is no supply of CDs.
(a) To find the supply when the price is $10, substitute p = 10 into the supply equation:
q = 3p - 12
q = 3(10) - 12
q = 30 - 12
q = 18
Therefore, the supply when the price is $10 is 18 units.
(b) To find the demand when the price is $10, substitute p = 10 into the demand equation:
q = -2 + 23
q = 21
Therefore, the demand when the price is $10 is 21 units.
(c) To find the equilibrium price, set the supply equal to the demand and solve for p:
3p - 12 = -2 + 23
3p = 21
p = 7
The equilibrium price is $7. To find the corresponding quantity supplied and demanded, substitute p = 7 into either the supply or demand equation:
For supply:
q = 3p - 12
q = 3(7) - 12
q = 21 - 12
q = 9
For demand:
q = -2 + 23
q = 21
Therefore, at the equilibrium price of $7, both the quantity supplied and demanded are 9 units.
(d) To find where the two lines cross the horizontal axis, set q = 0 and solve for p in each equation:
For supply: q = 3p - 12
0 = 3p - 12
3p = 12
p = 4
For demand: q = -2 + 23
0 = -2 + 23
2 = 23 (not possible)
The economic interpretation of the point (4, 0) on the horizontal axis for the supply equation is that at a price of $4, there is no supply of CDs. This could indicate that the cost of production or other factors make it unprofitable to supply CDs at that price.
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