Answer:
Ok
Step-by-step explanation:
So, the domain is the set of all possible values that can be inputted into the function. Or where is function on the x axis is the function defined. The range is similar but on the y axis. In this case, the function you have there appears to go on to infinity (I assume that is what the arrow means) and so the range would be [-1, -infinity) and domain [1, infinity). Brackets are important here because it shows that the function is still defined at point (1,-1), therefore, I used [ bracket symbol (I again assumed that the shaded in black dot at point (1,-1) means that the function is closed at that point and that when it is not shaded in, it is open). I feel like I didn't explain very well but good luck and hopefully someone does a better job that what I did.
helppppppppppppppppppppppppp
Answer:
It is d 15cm
sorry if its wrong
A caterer is determining how many forks she will need to buy for her upcoming event. each adult needs 555 forks, and each child needs 222 forks. if the event will host 764764764 adults and children in all, and the caterer ordered 2{,}9922,9922, comma, 992 forks, how many adults and how many children are expected to attend?
There are 276 children and 488 adults.
How equations are formed?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left-hand side = right-hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.
It is Given:
each child needs 222 forks
each adult needs 555 forks
total number of forks = 299229922992
total number of people = 764764764
Let the number of children be c
and Let the number of adults be a
According to the question:
c + a = 764764764
222c + 555a = 299229922992
find the value of c using the 1st equation.
c = 764764764 - a
substitute c in the 2nd equation by its value
222c + 555a = 2992
222(764764764-a) + 555a = 299229922992
169777777608 - 222a + 555a = 299229922992
333a =299229922992 - 169777777608
333a = 129452145384
a = 388745181
c = 764764764 - 388745181
c = 376019583
Hence, The number of children is = 376019583;
The number of adults is = 388745181
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Which description matches the expression 13 minus StartFraction 5 Over y EndFraction? the difference of thirteen and the product of five and a number the quotient of five and a number minus thirteen the difference of thirteen and the quotient of five and a number the sum of thirteen and the quotient of five and a number
Given:
The expression is:
\(13-\dfrac{5}{y}\)
To find:
The description that matches the given expression.
Solution:
We have,
\(13-\dfrac{5}{y}\)
Here, \(\dfrac{5}{y}\) is describes as the quotient of five and a number and the minus sign describes the difference between 13 and the quotient.
So, the description that matches the given expression is "difference of thirteen and the quotient of five and a number".
Therefore, the correct option is C.
Answer:
the difference of thirteen and the quotient of five and a number
Step-by-step explanation:
If an undamped spring-mass system with a mass that weighs 24 lb and a spring constant 4 lb/in is suddenly set in motion at t=0 by an external force of 108 cos(4t) lb, determine the position of the mass at any time. Assume that g=32 ft/s2. solve for u in feet.
u(t)=
The position of the mass in the undamped spring-mass system can be represented by the equation u(t) = (A cos(ωt) + B sin(ωt)) / k. Therefore, position of the mass at any time t in feet is given by u(t) = 4.5 cos(4t).
In this case, the external force acting on the system is 108 cos(4t) lb. To determine the position of the mass, we need to solve the differential equation that represents the motion of the system.
Using Newton's second law, F = ma, and considering that the mass m = 24 lb, the equation becomes:
24 * d^2u/dt^2 = 108 cos(4t)
Simplifying, we have:
d^2u/dt^2 = 4.5 cos(4t)
This is a second-order linear homogeneous differential equation with a constant coefficient. The solution to this equation will be a linear combination of the homogeneous and particular solutions.
The homogeneous solution, representing the free oscillation of the system, is u_h(t) = C1 cos(2t) + C2 sin(2t).
The particular solution, representing the forced motion caused by the external force, can be assumed in the form u_p(t) = A cos(4t) + B sin(4t).
By substituting u_p(t) into the differential equation, we can determine the values of A and B.
Solving the differential equation for the particular solution, we find:
A = 18 and B = 0
The complete solution for the position of the mass in feet is:
u(t) = (18 cos(4t)) / 4
Simplifying further, we get:
u(t) = 4.5 cos(4t)
Therefore, the position of the mass at any time t in feet is given by u(t) = 4.5 cos(4t).
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Two shirt screening companies charge a set up fee and a charge for each shirt made.
The table shows the total costs for the company Shirt Express. The total costy (in
dollars) for x shirts made by Shirt Custom is represented by the equation y = 8x + 50
Answer:
The correct option is;
Shirt Express charges less per shirt. For the cost to be the same 74 shirts must be ordered
Step-by-step explanation:
1) The given table for Shirt Express can be used to find the equation of the total cost of each made by Shirt Express as follows;
The rate of change of the function m is given as follows;
\(m = \dfrac{y_2 - y_1 }{x_2 - x_1}\)
Therefore, we have;
m = (438 - 353)/(50 - 40) = 8.5
Te equation in slope and intercept form is then y - 438 = 8.5(x - 50)
From which we have;
y = 8.5·x - 8.5×50 + 438 = 8.5·x + 13
y = 8.5·x + 13
Therefore, Shirt Express initially charges 13 per shirt which is less than the 50 Shirt Custom charges
2) the cost to be the same, we equate both shirts equations to get;
8.5·x + 13 = 8·x + 50
0.5·x = 50 - 13 = 37
x = 37/0.5 = 74 shirts
Therefore, for the cost to be the same 78 shirts must be ordered
the area of a square field is 50625 meter square find its perimeter
Answer:
900
Step-by-step explanation:
A=S^2
50265=SxS
S=√50265
S=225
P=Sx4
P=225x4
P=900
For f(x)=4x+1 and g(x) = x2-5, find (f+g)(x)
A. x2+4x-4 B. x2+4x+6 C. 4x2-19 D. 4x3-4
Answer:
A
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) , thus
f(x) + g(x)
= 4x + 1 + x² - 5 ← collect like terms
= x² + 4x - 4 → A
how can you count the number of ways to assign m jobs to n employees so that each employee is assigned at least one job?
\(n^{m}\) - \((n-1)^{m}\) * m + \((n-2)^{m}\) * (m choose 2) - \((n-1)^{m}\) * (m choose 3) + ... + \((-1)^{(n-1)}\) * \(1^{m}\) * (m choose n-1)
This formula gives the total number of ways to assign m jobs to n employees so that each employee is assigned at least one job.
What is combinatorics?
Combinatorics is a branch of mathematics that deals with counting and arranging the possible outcomes of different arrangements and selections of objects. It is concerned with the study of discrete structures, such as graphs, hypergraphs, and matroids, and their properties.
This problem is a classic example of applying the principle of inclusion-exclusion.
Let's start by assuming that we can assign any number of jobs to each employee, without the constraint that each employee must receive at least one job. In this case, the number of ways to assign m jobs to n employees would be n^m, since each job has n choices of employee to assign it to.
However, we need to subtract the number of cases where at least one employee is left without a job. This can happen in m different ways, since we can choose any of the m jobs to be unassigned. For each of these cases, there are \((n-1)^{m}\) ways to assign the remaining jobs to the n-1 remaining employees.
However, we have now "overcorrected" for cases where more than one employee is left without a job, since we have subtracted those cases twice (once for each pair of employees that are left out). To correct for this, we need to add back in the number of cases where at least two employees are left without a job. This can happen in (m choose 2) ways, since we can choose any pair of jobs to be unassigned. For each of these cases, there are \((n-1)^{m}\) ways to assign the remaining jobs to the remaining n-2 employees.
We continue this process of alternating subtraction and addition for all possible numbers of employees left without a job, up to n-1. The final answer is:
\(n^{m}\) - \((n-1)^{m}\) * m + \((n-2)^{m}\) * (m choose 2) - \((n-1)^{m}\) * (m choose 3) + ... + \((-1)^{(n-1)}\) * \(1^{m}\) * (m choose n-1)
This formula gives the total number of ways to assign m jobs to n employees so that each employee is assigned at least one job.
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Paycheck Pay Period Annual Salary
$1,300 monthly $
$1,000 biweekly $
$550 weekly $
$800 semimonthly $
Answer:
id like to get paid weekly
Step-by-step explanation:
Answer:
i dont get it
Step-by-step explanation:
What is the solution to the inequality? 6x - 5 > -29
A. x 4
C. x > -4
D. x < 4
Answer: A
Step-by-step explanation:
N
10
-10 - -
-5
-8-
PART A:
What is the y-intercept of the line?
What is the slope of the line?
PART B:
What is the equation of the line in slope-intercept form?
Blank 1:
I
Blank 2:
Blank 3:
Answer:
y-intercept: (0,6)
slope = -2
equation: y = -2x + 6
Step-by-step explanation:
1) First, identify the y-intercept. The y-intercept is the point at which the line intersects the y-axis. We can see that the line crosses the y-axis at (0,6), so that must be it.
2) Now, find the slope. Pick two points from the line. I chose (0,6) and (3,0). Then, substitute the two points' x and y values into the slope formula \(m = \frac{y_2-y_1}{x_2-x_1}\)and solve:
\(m = \frac{0-6}{3-0}\\m = \frac{-6}{3}\\m = -2\)
So, the slope is -2.
3) With the found information, use the slope-intercept formula \(y = mx + b\) to write the line's equation. Substitute values for the \(m\) and \(b\).
\(m\) represents the slope, so substitute -2 in its place. \(b\) represents the y-intercept, so substitute 6 in its place. This gives the following equation:
\(y = -2x + 6\)
2. Solve the following LP problem using the simplex method.
Minimize
Subject to 2x
1
+x
2
x
2
x
1
−2x
2
x
1
,x
2
z=4x
1
−x
2
≤8
≤5
≤4
≥0
The solution to the given LP problem using the simplex method is: x1 = 2, x2 = 0, z = 8
To solve the LP problem using the simplex method, we need to convert the problem into standard form, which involves introducing slack and surplus variables. The problem can be rewritten as follows:
Minimize z = 4x1 - x2
Subject to:
2x1 + x2 + x3 = 8
x2 + x4 = 5
-x1 + 2x2 - x5 = 4
x1, x2, x3, x4, x5 ≥ 0
The initial tableau for the simplex method is as follows:
markdown
Copy code
| x1 | x2 | x3 | x4 | x5 | RHS |
Cj | 4 | -1 | 0 | 0 | 0 | |
zj | 0 | 0 | 0 | 0 | 0 | 0 |
CB | 0 | 0 | 0 | 0 | 0 | |
cj-zj | -4 | 1 | 0 | 0 | 0 | |
BV | x1 | x2 | x3 | x4 | x5 | |
We apply the simplex method to find the optimal solution. After performing the iterations and calculations, we find that the optimal solution is:
x1 = 2
x2 = 0
z = 8
The tableau after the final iteration is as follows:
markdown
Copy code
| x1 | x2 | x3 | x4 | x5 | RHS |
Cj | 4 | -1 | 0 | 0 | 0 | |
zj | 8 | 0 | 0 | 0 | 0 | 8 |
CB | x1 | x2 | x4 | x3 | x5 | |
cj-zj | 0 | 0 | 0 | 0 | 0 | |
BV | x1 | x2 | x4 | x3 | x5 | |
By applying the simplex method to the given LP problem, we find that the optimal solution is x1 = 2, x2 = 0, and the objective function value is z = 8. This solution satisfies all the constraints and minimizes the objective function.
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whats the scientific notation for 234,000,000
Answer:
scientific notation
= 2.34e8
scientific e notation
= 234 × 106
engineering notation
million; prefix mega- (M)
= 2.34 × 108
standard form
8
Order of Magnitude
for scientific and standard forms
= 234000000
(real number)
= two hundred thirty-four million
word form
Step-by-step explanation:
PLEAASSEE PLLEEAAASSSEEE SOMEONE ANSWER THIS IS URGGEENNNTTTT!!!!!!!!!!!!!!!!!!!!! I'LL EVEN GIVE YOU BRAINLIST!!!!!!!!!!!!!!!!!
Candice has a bag with 4 green, 7 orange, and 9 blue Skittles in it. She randomly selects one Skittle to eat and then another. Is this dependent or independent probability?
A. independent
B. dependent
Answer:
Step-by-step explanation:
You throw three dice, six-sided, each side showing a different number of dots between 1 and 6. Write the following event as a set, or otherwise, compute its probablity and enter the resulting value as a proper fraction in lowest terms (e.g. 1/6). The sum of the numbers showing face up is 10 .
The probability of obtaining a sum of 10 is 7/216, which is the
To find the probability of the sum of the numbers showing face up being 10, we need to count the number of ways in which we can obtain a sum of 10 when throwing three six-sided dice.
We can approach this problem by using combinations. For example, if we roll a 4, a 3, and a 3, we obtain a sum of 10. However, if we roll a 5, a 4, and a 1, the sum is also 10, but the order of the dice is different. Since the order of the dice does not matter, we can use combinations to count the number of ways to obtain a sum of 10.
We can start by considering the number of ways to roll a 10 with two dice. This can be done using a table, where the rows and columns represent the numbers on the two dice, and the entries represent the sum of the two numbers. For example:
From the table, we can see that there are four ways to roll a 10 with two dice: (4,6), (5,5), (6,4), and (3,7).
To count the number of ways to roll a 10 with three dice, we need to consider all possible combinations of the numbers that add up to 10. We can use the fact that the order of the dice does not matter, so we can write each combination in increasing order. For example, (1,3,6) and (3,1,6) are equivalent, and we only need to count one of them.
Using this method, we can write all possible combinations of three dice that add up to 10:
(1,2,7)
(1,3,6)
(1,4,5)
(2,2,6)
(2,3,5)
(2,4,4)
(3,3,4)
There are seven possible combinations, so the probability of obtaining a sum of 10 with three dice is 7 divided by the total number of possible outcomes when rolling three dice, which is 6^3 = 216.
Therefore, the probability of obtaining a sum of 10 is 7/216, which is the final answer.
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i need help -29 = 6a - 17
Answer:
a=-2
Step-by-step explanation:
-29=6a-17
add 17 on both sides
-12=6a
divide by 6 on both sides
-2=a
a=-2
Question for Tejkmurray !!!
In Spring 2017, data was collected from a random selection of STA 2023 students. One of the questions asked how many hours they had exercised in the past 24 hours.For the 39 randomly selected upperclassmen, the sample mean was 0.76 and sample standard deviation was 0.75.For the 35 randomly selected underclassmen, the sample mean was 0.60 and the sample standard deviation was 0.73.What is the point estimate of the difference in the population mean exercised between underclassmen and upperclassmen?
The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.
In this case, we are estimating the difference in population means between two groups - upperclassmen and underclassmen. The point estimate is calculated by subtracting the sample mean of the underclassmen from the sample mean of the upperclassmen, which gives us
0.76 - 0.60 = 0.16.
the point estimate of the difference in population mean exercised between underclassmen and upperclassmen is 0.16 hours, which was calculated by subtracting the sample mean of underclassmen from the sample mean of upperclassmen.
Point Estimate = (Sample Mean of Upperclassmen) - (Sample Mean of Underclassmen)
Point Estimate = (0.76) - (0.60)
Point Estimate = 0.16
Hence, the point estimate of 0.16 suggests that, on average, upperclassmen exercised 0.16 hours more than underclassmen in the past 24 hours. This is a rough estimate of the difference between the two population means based on the provided sample data.
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. jane has developed a new happiness questionnaire. to demonstrate its scientific merit, she uses it to measure happiness in 10 couples who have just started dating. she asks each participant to complete a happiness questionnaire. she waits a year, then attempts to re-contact each of the couples to ask them to complete the questionnaire again. jane then calculates the pearson r correlation coefficient between happiness levels at the outset of her study and one year later. what scientific standard is jane evaluating?
The scientific standard which jane evaluates based on the condition above is falsifiability.
It may appear that Jane is attempting to measure test-retest reliability, that is, a correlation between the first scores and those a year later. But without control over variables that could affect the second scores, there is there is hardly a strong argument for the reliability of her test. Moreover, some of the couples may not be together after a year has passed.
What is falsifiabilityFalsifiability or refutability is the probability that a statement can be falsified or proven false through observation or physical testing. Something that can be falsified does not mean that it is wrong, but it means that if the statement is wrong, then the error can be shown.
The claim that "it is not true that humans live forever" cannot be falsified because it is impossible to prove wrong. In theory, one would have to observe a human living forever to falsify that claim. On the other hand, "all humans live forever" is falsifiable because the death of a single human being can disprove the statement false (excluding metaphysical statements about the soul, which cannot be falsified).
Falsifiability, especially testability, is an important notion in science and philosophy of science. This thought was popularized by Karl Popper. Popper stated that a hypothesis, proposition, or theory is scientific if it can be falsified. Falsifiability is an important (but not sufficient) criterion for scientific ideas. He also stated that statements that cannot be falsified are unscientific.
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At Cheng's Bike Rentals, it costs 31 to rent a bike for 6 hours.
How many hours of bike use does a customer get per dollar?
Answer:
0.2hrs/dollars
Step-by-step explanation:
Given parameters:
Cost of bike = $31
Time duration = 6hrs
Unknown:
Hours customers get per dollar = ?
Solution:
The number of hours customer gets per dollar is;
Number of hrs/dollar = \(\frac{time duration }{cost}\)
Number of hrs/dollar = \(\frac{6hrs}{31}\)
Number of hrs/dollar = 0.2hrs/dollars
Find (a) the circumference and (b) the area of the circle. Use 3.14 or 22/7 for pi. Round your answer to the nearest whole number, if necessary.
A circle with a diameter of 70 inches.
(a) circumference: about ? in.
(b) area: about ? in.²
Answer:
a)219.8
b)3846.5
Step-by-step explanation:
a) circumference is pi*diameter, so 3.14*70 is 219.8
b) area is pir^2, and radius is 1/2 of diameter, it would be 3.14*35^2, so 3.14*1225, so 3,846.5 in^2.
Answer:
lol
Step-by-step explanation:
h
Find the are of the blue shaded region.
XTRA POINTS!!!
Plus brainliest!!!
No links or anything i will report you!!!!!
PLZ!!!!
Answer:
25π
Step-by-step explanation:
i hope u hav a gud day ^_^
Answer:
area = 73.37 cm²
Step-by-step explanation:
area of circle:
A = π5² = 78.5 cm²
area of 80° segment:
(80/360)(78.5) = 17.44 cm²
area of isosceles triangle w/ 5 cm legs and 80° angle:
sin 40° = b/5
0.6428 = b/5
b = 3.214
base = 2(3.21) = 6.43 (we only figured for one-half of the base)
cos 40° = h/5
0.7660 = h/5
height = 3.83
A = 1/2(6.43)(3.83) = 12.31 cm²
area of unshaded part:
17.44 - 12.31 = 5.13 cm²
area of total shaded part:
78.5 - 5.13 = 73.37 cm²
find the unknown
x:14 = 10:20
Answer:
7:14 = 10:20
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
this is a ratio problem which the ratios could be seen as fractions
x/14 = 10/20
then you and use the cross multiply method to solve this equation
20x = 140
x = 7
also another way is to find the previous 10/20 which gives you 1/2 and 1/2 of 14 is 7
1 gallon =? quarts=?pints=cups
Answer: 1 gallon converts to 4 quarts convert to 8 pints convert to 16 cups
Step-by-step explanation:
Answer:
7. According to your line of best fit, what is the arm span of a 74-inch-tall person?
Dont need to do all. Just do thep
If the probability of having a defect is 20%, then the
probability that there is no defect is
If the probability of having a defect is 20%, then the probability that there is no defect is 0.8 or 80%.
The probability that there is no defect can be calculated by subtracting the probability of having a defect from 1. Since the probability of having a defect is 20%, the probability of no defect is:
1 - 0.20 = 0.80
Therefore, the probability that there is no defect is 80%.
In probability theory, the complement rule states that the probability of an event occurring is equal to 1 minus the probability of its complement. In this case, the event of interest is having no defect, and its complement is having a defect.
If the probability of having a defect is 20%, it means that out of every 100 cases, 20 cases would have a defect. Hence, the remaining 80 cases would not have a defect. This means that the probability of no defect is 80% or 0.80.
By subtracting the probability of having a defect (20%) from 1, we obtain the probability of no defect (80%). This is because the sum of the probabilities of mutually exclusive events must be equal to 1. Therefore, the probability that there is no defect is 80%.
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What is the positive orientation (the direction of increasing t)? 1. Downward 2. Left 3. Upward 4. Right
the positive orientation (the direction of increasing is
4. Right
The positive orientation, or the direction of increasing t, depends on the context and convention used. In many mathematical and scientific disciplines, including calculus and standard coordinate systems, the positive orientation or direction of increasing t is typically associated with the rightward direction.
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Add or subtract the following mixed numbers. First change each mixed number to an equivalent improper fraction. Then find a common denominator, and proceed as before. Leave your answer as an improper fraction. Be sure your answers are reduced to lowest terms. 3 1/4 + 6 1/2
In terms of the calculation, the answer is 39/4 in improper fraction.
What is an improper fraction?An improper fraction has a denominator that is greater than or equal to the numerator. Based on the numerator and denominator values, proper fractions and improper fractions are the two main types of fractions in mathematics.
What is a mixed fraction?A mixed fraction is a fraction formed by combining a natural number and a proper fraction. It is a shortened version of an improper fraction.
The given equation is \(3\frac{1}{4}\) + \(6\frac{1}{2}\) .
Taking 4 as LCM from the above equation.
\(3\frac{1}{4}\) + \(6\frac{1}{2}\) = (13/4) + (13/2)
\(3\frac{1}{4}\) + \(6\frac{1}{2}\) = (13+26)/4
\(3\frac{1}{4}\) + \(6\frac{1}{2}\) = 39/4
Now, since the solution must be proffered in an improper fraction.
Therefore, the obtained improper fraction is 39/4.
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If six avocados are $4.98
how much is one avocado
Answer:
The price for one avocado is $0.83
Step-by-step explanation:
You divide the overall price by the amount to find the unit price (0.83)
Have a wonderful day :)
Cameron is flying 8,000 feet above sea level. Directly below her, she sees a whale 50 feet below sea level. Which absolute value expression represents the distance between Cameron and the whale? A) |8,000 − 50| B) |8,000 − (−50)| C) |−8,000 +50| D) |−8,000 − (−50)|
Answer:
D) |−8,000 − (−50)|
Step-by-step explanation:
When we are dealing with questions involving above or below sea level,
The formula for the Absolute value expression representing the distance = | Height above sea level -(Distance below sea level|
Height of Cameron above sea level = 8000ft = -8000
Distance of the whale below sea level = 50ft = -50
Hence, we have:
|−8,000 − (−50)|.
Option D is the correct option
what’s the answer did anyone figure it out ?
Answer:
NAswer to what
Step-by-step explanation: