The solution of expression for v is v = 9(z - w)/5.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that performs the arithmetic operations are called arithmetic operators.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
⇒ 5/9 v = z - w
Multiply by 9 both sides,
⇒ 5v = 9z - 9w
Divided by 5
⇒ v = 9(z - w)/5
Thus, the solution of expression for v is v = 9(z - w)/5.
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The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
75, 90, 108, ...
Find the 7th term.
The 7th term of the sequence to the nearest thousandth is 223.949
What are geometric sequences?These are sequence that increases in an exponential form.
The formula for calculating the nth term of a geometric sequence is expressed as:
Tn = ar^n-1
Given the following parameters
a = 75
r = 1.2
n = 7
Substitute the given parameter into the formula
T7 = 75(1.2)^6
T7 = 223.949
Hence the 7th term of the sequence to the nearest thousandth is 223.949
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The equation y = 8x + 12, where x is the number of hours and y is the total cost, represents what the surf instructor charges for lessons. Use this information to describe how to draw the line on a graph.
Brainliest
Use the rise/run strategy to draw the line. Start at the y-intercept (0, 12), and count 8 up and 1 to the right to the point (1, 20). Then, draw a line through the points. Test the point (3,36) in the equation y = 8x + 12 to verify that the line is correct.
Answer:
the answer and work if you needed work shown.
Step-by-step explanation:
plzz help me with this question
Answer:
The answer to this question is C
\(y = \frac{3}{2} x + 7 \\ \\ y = \frac{1}{2}x + 1 \)
Which of the following is a reflection of
(2, 4) across the x-axis?
A (2,-4)
C (-2, 4)
B (-2,-4)
D (4,2)
Determine if the following functions are Well-Defined or Not Well-Defined 1. f(x)=x/12 2. g(x)=1/(x−3)
3. h(x)=5/(1+∣x∣) 4. i(x)=sqrt(−5)
Function 1, 2 and 3 are well-defined while function 4 is not well-defined.
A function f : A -> B is well-defined if f(a) is unique for all a in A. If a function is not well-defined, then it assigns different values to the same input, which violates the fundamental definition of a function. Here are the solutions to the given question:
1. f(x) = x/12
This function is well-defined since each input (x) is mapped to a unique output (x/12). Therefore, the function is well-defined.
2. g(x) = 1/(x - 3)
This function is well-defined since each input x is mapped to a unique output (1/(x-3)) that exists for all x ≠ 3. Therefore, the function is well-defined.
3. h(x) = 5/(1 + |x|)
This function is well-defined since each input x is mapped to a unique output (5/(1 + |x|)) that exists for all x. Therefore, the function is well-defined.
4. i(x) = √(-5)
This function is not well-defined because there is no real number whose square is negative. Therefore, the function is not well-defined.
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the qualified applicant pool for four management trainee positions consists of nine women and seven men. (a) how many different groups of applicants can be selected for the positions? (b) how many different groups of trainees would consist entirely of women? (c) probability extension: if the applicants are equally qualified and the trainee positions are selected by drawing the names at random so that all groups of four are equally likely, what is the probability that the trainee class will consist entirely of women? (round your answer to four decimal places.)
There are 1820 different groups of applicants for 4 management trainee positions, 126 different groups of trainees consisting entirely of women, and a 0.0692 probability that the trainee class will consist entirely of women.
The number of different groups of applicants that can be selected for the four management trainee positions can be calculated using the combination formula:
nCr = n! / (r! * (n-r)!)
where n is the total number of applicants (16 in this case) and r is the number of positions to be filled (4 in this case).
So the number of different groups of applicants that can be selected is:
16C4 = 1820
Therefore, there are 1820 different groups of applicants that can be selected for the four management trainee positions.
The number of different groups of trainees that would consist entirely of women can be calculated using the combination formula again, but this time we are selecting all 4 positions from the 9 female applicants:
9C4 = 126
Therefore, there are 126 different groups of trainees that would consist entirely of women.
Assuming that all groups of four are equally likely to be selected, the probability that the trainee class will consist entirely of women can be calculated by dividing the number of different groups of trainees that consist entirely of women (126) by the total number of different groups of applicants (1820):
Probability = 126 / 1820 = 0.0692
So the probability that the trainee class will consist entirely of women is 0.0692 (rounded to four decimal places).
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750 ml is how many liters?
if u play mk
a
scorpion
b
subzero
c
lukang
d
radien
Answer:
scorpion -_-
Step-by-step explanation:
Answer:
Scopion
Step-by-step explanation:
How many solutions will this equation have? 3(x -4) = 2x + x -4
Answer:
The equation will have 0 solutions as it is incorrect equation
Please solve and please make sure your correct
Answer:
(a) The ones that are equivalent to the given fraction are: \(\frac{2}{-9}\) and \(-\frac{2}{9}\)
(b) The one that is equivalent to the given fraction is: \(\frac{-8}{-5}\)
The ratio of the measures of the sides of a triangle is 9:12:5. If the perimeter of the triangle is 130 feet, find the measure of the sides.
Answer:
The sides of the triangle are 45, 60, and 25 ft
Step-by-step explanation:
9 + 12 + 5 equals 26.
Now we need to get the first two sides.
9/26 × 130 = 1170/26 = 45
In order to obtain the other side;
12/26 = 1560/26 = 60
And to obtain the third side:
5/26 × 130 =650/26 = 25
Therefore, the sides of the triangle are 45, 60, and 25 ft
I hope this helps! ^-^
the fbi wants to determine the effectiveness of their 10 10 most wanted list. to do so, they need to find out the fraction of people who appear on the list that are actually caught. step 1 of 2 : suppose a sample of 291 291 suspected criminals is drawn. of these people, 98 98 were captured. using the data, estimate the proportion of people who were caught after being on the 10 10 most wanted list. enter your answer as a fraction or a decimal number rounded to three decimal places.
The proportion of people who were caught after being on the 10 10 most wanted list. The Lower Endpoint is 0.297 and the Upper Endpoint is 0.377.
Point estimate of proportion of people who get caught is, p = 98/291 = 0.337
Standard error of sample proportion, SE = \sqrt{p(1-p)/n} = \sqrt{0.337 * (1 - 0.337)/291} = 0.02770928
Z value for 85% confidence interval is 1.44
Lower Endpoint = 0.337 - 1.44 * 0.02770928 = 0.297
Upper Endpoint = 0.337 + 1.44 * 0.02770928 = 0.377
Proportion refers to the relationship between two or more quantities, expressed in terms of a ratio or a fraction. It is a fundamental concept in mathematics that is used to compare the relative size of one quantity to another. In other words, it is a way of describing how much of one thing there is in relation to another.
Proportions can be expressed in different ways, depending on the context and the purpose of the comparison. For example, a proportion can be expressed as a percentage, a decimal, or a fraction. In everyday life, we encounter proportions in a variety of situations, such as when we measure ingredients for a recipe, calculate the percentage of people who voted in an election, or compare the sizes of objects.
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Complete Question: -
The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught
Step 1 of 2: Suppose a sample of 291 suspected criminals is drawn. Of these people, 98 were captured. Using the data, estimate the proportion of people who were caught after being on the 10 Most Wanted list. Enter your answer as a fraction or a decimal number rounded to three decimal places.
What values are greater than 3/5
Answer:
anything greater than 3/5
Step-by-step explanation:
equation: x is greater than 3/5
Answer:
4/5, 5/5, 1,2,3,4,5,6,7,8.
Step-by-step explanation:
3/5 in decimal form is .60
Therefore any number higher than .60 is greater than 3/5.
3/5 is .60 because if it were 5/5 it would equal 1.00
so 1 divided by 5 is .20 so 3(.20) is equal to .60.
Carlos walked to school on 14 of the 20 school days in february.Which value is equievalent to the fraction of the school days in february that carlos walked to school
Answer:
obviously he's lazy like dude come on exercise big balloon any way just divide 14 by 20
Step-by-step explanation
Answer:
divide 14 by 20
Step-by-step explanation:
I saw the other answer.
Simplify.
√240
O 4√15
O 6√40
O 2√30
O 10√/24
The answer will be 4√15 after simplification which is an irrational number.
What are Irrational numbers?The group of real numbers known as irrational numbers is those that cannot be written as a fraction of the form p/q, where p and q are integers. Additionally, the decimal expansion of an irrational integer is neither terminating nor recurring.Irrational numbers are real numbers that cannot be expressed as a straightforward fraction. These cannot be stated as ratios, such as p/q, where p and q are integers, q0.The given question is √240:
Now, calculate as follows:
= √2*2*2*3*2*5=2*2*√3*5= 4√15Therefore, the answer will be 4√15 after simplification which is an irrational number.
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X squared -11 X +24 equals zero
Answer:
x=3, 8
Step-by-step explanation:
x²-11x+24=0 can be factored to
(x-3)(x-8)=0
3-3=0
8-8=0
So, x can be 3, 8
Three radar sets, operating independently, are set to detect any aircraft flying through a certain area. Each set has a probability of .02 of failing to detect a plane in its area. If an aircraft enters the area, what is the probability that it (a) is detected by more than 2 radar sets
Hence, the probability that an aircraft entering the area is detected by more than two radar sets is approximately 0.998816, or about 99.88%.
To calculate the probability that an aircraft is detected by more than two radar sets, we need to consider the different combinations of radar sets that can detect the aircraft.
Let's analyze the possibilities:
If the aircraft is detected by all three radar sets:
Probability = (probability of detection) * (probability of detection) * (probability of detection)
= (0.98) * (0.98) * (0.98)
= 0.941192
If the aircraft is detected by exactly two radar sets:
There are three possible combinations of two radar sets that can detect the aircraft: (1st and 2nd), (1st and 3rd), (2nd and 3rd).
Probability for each combination = (probability of detection) * (probability of detection) * (probability of failure to detect) = (0.98) * (0.98) * (0.02) = 0.019208.
Total probability = 3 * 0.019208 = 0.057624.
Therefore, the probability that an aircraft is detected by more than two radar sets is the sum of the probabilities from the two cases above:
Probability = 0.941192 + 0.057624
= 0.998816
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Which operations is the following set closed under: {. , -3, -1, 1, 3,. }?.
One of the operation under which the given set is closed is "Modulus operation".
Given set:\(\{..., -3, -1, 1, 3, ... \}\)
Explanation for closed operations:Definition: A set is closed under an operation if the operation returns a member of the set when evaluated on members of the set.
Many operations can be defined. But some of the standard operations are known.
From such operations, one operation for which the given set is closed under is modulus operation.
Proof:
\(Let \\\\S = \{.., -3, -1, 1,3,...\}\\\\Then \: \forall \: x \in S, \exists -x \in S.\\\\\)
Now let y be any value belonging to S.
Then two cases:
\(y < 0:\\ |y| = -y \: which \in S\)
or
\(y > 0:\\|y| = y \: which \in S\\\\\)
Thus under modulus operation, the given set is closed.
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Need help asap please. Find the constant of variation, k, for y=-8 when x=12 show work
The constant variation (k) is \(-\frac{2}{3}\) .
What is constant variation ?The link between the independent (x) and dependent (y) variables is shown by a constant of variation. A continuous relationship between the variables indicates to the user that there is one; it does not alter regardless of how the scenario changes.It can be employed to ascertain how the dependent variable will alter in response to changes in the independent variable. For instance, if a person drives continuously at the same speed, they could calculate their distance by multiplying the number of hours they spent driving by the speed they were traveling at. In this instance, the speed is the constant because it remained constant regardless of how long or how far they traveled during the drive.From given details :
x = 12 & y = -8
we can find k when given any point by dividing the y-coordinate by the x-coordinate.
For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3
So, k = y / x = 12 / -8 = \(-\frac{2}{3}\)
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Apply Newton's Method using the given initial guess.
y = x3 − 2x − 2, x1 = 0
x1 = x2 = x3 = x4 = Explain why the method fails.
We are unable to perform any additional iterations because y′(1)=0, hence the Newton's technique fails with the provided initial assumption.
What is equations ?An equation is a mathematical formula that joins two statements and uses the equal symbol (=) to indicate equivalence. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign divides the variables 3x + 5 and 14. The relationship between the two sentences on either side of a letter is explained by a mathematical formula. There is frequently only one variable, which also serves as the symbol. for instance, 2x - 4 = 2.
given
by newton's method
y = x3 − 2x − 2, x1 = 0
y′(1)=6−12+6
y′(1)=0
We are unable to perform any additional iterations because y′(1)=0, hence the Newton's technique fails with the provided initial assumption.
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The perimeter of an equilateral triangle is 4 inches more than the perimeter of the square, and the side of the triangle is 5 inches longer than the side of the square. Find the side length of the square and triangle
Answer:
i think the answers 10
Step-by-step explanation:
Mumbua had a packet of full sweets.She decided that each day she will eat half of what was in the packet.If she started eating the sweets on Monday,what fraction of all the sweets did she get on Thursday?
Answer:
there wont be a fraction the sweets are gone
Step-by-step explanation:
she got fat
calcule (-6 ) + (+4 )
Answer:
-2
Step-by-step explanation:
Just do it
I need help
Solving this problem
The required value of x is 22 degrees for the given figure.
Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.
As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:
According to the given figure, it can be written as follows:
2x + 24 + 6x - 20 = 180
8x + 4 = 180
8x = 180 - 4
8x = 176
x = 176/8
x = 22
Therefore, the required value of x is 22 degrees for the given figure.
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The complete question is as follows:
Find the value of x for the below figure.
How much pizza sauce is needed to cover a 16" pizza? (Note: 16" is the diameter of the pizza.)
Responses
A 200.96 in2200.96 in 2
B 803.84 in2803.84 in 2
C 50.24 in250.24 in 2
D 3215.36 in2
Answer:
It is difficult to give a precise answer without more information, such as the thickness of the sauce and the desired coverage. However, if we assume that the sauce is being applied evenly and that a thin layer is desired, the amount of sauce needed to cover a 16" pizza would be approximately 50.24 in2. This is because the area of a circle with a diameter of 16" is approximately 50.24 in2. To calculate the area of a circle, you can use the formula A = πr^2, where A is the area, π is approximately 3.14, and r is the radius of the circle (which is half the diameter). In this case, the radius would be 8" and the area would be approximately 50.24 in2.
Step-by-step explanation:
two planes leave at 9 am from airports that are 2700 miles apart and fly towards each other at a speed of 200 mph and 250 mph. at what time will they pass each other?
The two planes will meet 6 hours after they start, i.e. at 3 pm.
Two planes leave at 9 am from airports that are 2700 miles apart and fly towards each other at a speed of 200 mph and 250 mph. At what time will they pass each other?
Let's assume the planes A and B leave the two airports that are 2700 miles apart at the same time. The speed of the first plane is 200 mph and the speed of the second plane is 250 mph. To find out the time at which they pass each other, we need to calculate the distance between them and divide it by the sum of their speeds.
Distance traveled by the first plane in time t1 is equal to 200t1.Distance traveled by the second plane in time t2 is equal to 250t2.The distance covered by the first plane and the second plane together will be 2700 miles.Time taken by both the planes to meet can be calculated as below:
t1 + t2 = 2700/(200+250) = 6 hoursAs both the planes start at 9 am, they will meet each other after 6 hours of their journey. Therefore, they will pass each other at 3 pm. This is the required answer. Explanation: So, the two planes will meet 6 hours after they start, i.e. at 3 pm.
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evaluate the expression 6x + 4 9/10 when x = 2/3.
x=2/3
6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10
Answer:
2x-1=y,2y+3=x
Step-by-step explanation:
no explanation
how do I solve this?
Answer:
We conclude that the range of the function will be:
R = {5, 17, 29}
Step-by-step explanation:
Given
Given the function
f(x) = 6x-1
Given the domain
D = {0, 3, 5}
To Determine:
The range R = ?
We know that range of the function consists of all the y-values for the x-values in the domain of the function.
so substituting the values of x = 0, 3, and 5 in the function to determine the corresponding y-values.
Plug in x = 0
y = 6x-1
y = 6(0) - 1 = 6-1 = 5
Plug in x = 3
y = 6x-1
y = 6(3) - 1 = 18-1 = 17
Plug in x = 5
y = 6x-1
y = 6(5) - 1 = 30-1 = 29
Now, combine all the determined y-values which are 5, 17, and 29.
Therefore, we conclude that the range of the function will be:
R = {5, 17, 29}
A uniform probability distribution is a continuous probability distribution where the probability that the random variable assumes a value in any interval of equal length is _____. a. different for each interval b. the same for each interval c. either different or the same depending on the magnitude of the standard deviation d. None of the answers is correct.
Uniform probability distribution describes a distribution which is continous and the probability that a random variable assumes a value in any interval of equal length is the same for each interval.
The likelihood that a randomly selected variable within intervals with equal length is equally likely in a uniform probability distribution. An example is a deck of cards, hearts, spade, diamond and club are of equal length. Hence, the probability of randomly drawing a card from any of these intervals is the same (1/4).Therefore, the true statement is the option B.
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1. Luzcel real estate owns 8000 square meters of lot area and decides to construct two different styles of houses, B and C. The lot area of house B is 250 sq. m. and house C lot area is 200 sq. m. The construction engineer has a maximum of 6400 man-hours of labor for the construction. Let your variables be the number of units of house B and the number of units of house C to be constructed. a) Write an inequality which states that there are 8000 sq. m. of land available. b) A unit of house B requires 160 man-hour and a unit of house C requires 256 man-hour. Write an inequality that the engineer has at most 6400 man-hour available for construction. c) If material cost 600 thousand pesos for a unit of house B and 800 thousand for a unit of house C, write an inequality stating that the engineer has at least 12 million pesos to spend for materials. d) Labor cost 1.1 million pesos for constructing a unit of house B and 1.3 million pesos for constructing a unit of house C. If a unit of house B sells for 3.5 million and a unit of house C selis for 4 million, how many units of house B and house C should be constructed to obtain the maximum profit? Show the graph.
Inequality stating that there are 8000 sq. m. of land available: Let B be the number of units of house B and C be the number of units of house C.
Therefore,B+C ≤ 8000/200 [Reason: House C requires 200 sq. m. of land]⇒B+C ≤ 40b. Inequality that the engineer has at most 6400 man-hour available for construction:
160B + 256C ≤ 6400c
Inequality stating that the engineer has at least 12 million pesos to spend for materials:
600B + 800C ≤ 12000d
. Let us write down a table to calculate the cost, income and profit as follows:Units of house BLabor Hours per unit of house BUnits of house CLabor Hours per unit of house CTotal Labor HoursMaterial Cost per unit of house BMaterial Cost per unit of house CTotal Material CostIncome per unit of house BIncome per unit of house C
Total IncomeTotal ProfitBC=8000/200-B160CB+256C600000800000+256C12,000,0003,500,0004,000,0003,500,000B+C ≤ 40 160B + 256C ≤ 6400 600B + 800C ≤ 12000 Units of house B requires 160 man-hour and a unit of house C requires 256 man-hour.
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