There will be a total of 720 4- permutations of a set of six objects. And there will be a total of 72 2- permutations of a set of nine objects.
The calculation for 4-permutations of a set containing six objects
P(6,4)! = 6! / (6-4)1
P(6,4)! = 6×5×4×3x2
P(6,4)! = 720
Therefore, there will be a total of 720 permutations.
The calculation for 2- permutation of a set containing 9 objects
P(9,2)! = (9,7)! = (9-2) = 9! / 7!
P(9,2)! = 9×8x7! / 7!
P(9,2)! = 72
Therefore, there will be a total of 72 permutations.
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Equation of line passing through the point (1, 2) and perpendicular to the line y = 3x - 1 is A. x+3y+7=0 B. x+3y-7=0 B.x+3y=0 D. x-3y=0
To find the equation of the line that passes through the point (1, 2) and is perpendicular to the line y=3x-1, we can first find the slope of the line y=3x-1. The slope of this line is 3, so a line perpendicular to it will have a slope of -1/3. We can then use the point-slope form of the line to write the equation of the line that passes through (1,2) and has a slope of -1/3. The point-slap form of a line is given by y-y₁ = m(x-x₁), where (x₁,y₁) is a point on the line and m is the slope of the line. Plugging in the coordinates of the point (1,2) and the slope -1/3, we get the equation y-2 = -1/3(x-1), which simplifies to y-2 = -x/3 + 1/3. Multiplying both sides of the equation by 3 to get rid of the fractions, we get 3y-6 = -x+1. Finally, we can move all the terms to one side of the equation to get the standard form of the line: 3y-x-5 = 0. Therefore, the equation of the line that passes through the point (1, 2) and is perpendicular to the line y = 3x - 1 is x-3y-5=0, so the correct answer is A.
A model rocket is launched with an initial upward velocity of 35 m/s. The rocket's height h (in meters) after t seconds is given by the followi
h=35t-5t
Find all values of 1 for which the rocket's height is 12 meters.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
h
-ground
t= seconds
Dor
X
S
Answer:
The possible values of t for which the rocket's height is 12 meters are approximately 1.1 or -1.1.
Step-by-step explanation:
The height of the rocket after t seconds is given by the equation12 = 35t - 5t^2
t = (-b ± √(b^2 - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation. In this case, a = -5, b = 35, and c = -12.Plugging these values into the quadratic formula, we gett = (35 ± √(35^2 - 4(-5)(-12))) / 2(-5)
t = (35 ± √(35^2 + 240)) / -10
t = (35 ± √575) / -10
This gives us two possible values fort = (35 + √575) / -10 = (35 + 24) / -10 = 11/10 = 1.1
t = (35 - √575) / -10 = (35 - 24) / -10 = -11/10 = -1.1
Therefore, the rocket's height is 12 meters when t is approximately 1.1 or -1.1.The rocket's height is 12 meters at time t = 0.4 seconds.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
A model rocket is launched with an initial upward velocity of 35 m/s.
The rocket's height h (in meters) after t seconds is h=35t-5t
We have to find the time(s) when the rocket's height is 12 meters, we need to solve the equation:
h = 35t - 5t = 30t
We want to find all values of t that make h = 12. So we set h = 12 and solve for t:
12 = 30t
Divide both sides by 30
t = 12/30
t = 0.4
Therefore, the rocket's height is 12 meters at time t = 0.4 seconds.
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The point F( – 4, – 1) i rotated 270° counterclockwie around the origin. What are the coordinate of the reulting point, F'?
The point F( – 4, – 1) i rotated 270° counterclockwie around the origin. then The coordinates of the point F' is (-1 ,4 )
Given that the point J(-2,1) is rotated about 270° about the origin.
Coordinates of the resulting point F':
Since, we know that, when rotating a point 270° counterclockwise about the origin, the point (x,y) becomes (y,-x) which means we switch the places of x and y coordinates and make x as negative.
Therefore, the transformation is given by
(x ,y) -> ( y , -x)
Using the above transformation, we have,
(-4 ,-1) ⇒ ( -1 , -(-4)) ⇒ (-1 , 4)
Therefore, the resulting point of the coordinates of the point F' is (-1 ,4)
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PLS HELP WILL GIVE BRAINLIEST
Harry needs wood pieces to complete a project in woodshop class. He needs three pieces of wood that have a length of two and three fourths feet and six pieces of wood that are one and one third feet. What is the total amount of wood that Harry will need for the project?
four and one twelfth feet
sixteen and one fourth feet
three and four sevenths feet
six and one third feet
Answer:
D) six and one third feet
Step-by-step explanation:
To find the total amount of wood that Harry needs, we need to find the total length of the three pieces of wood that are two and three fourths feet long and the total length of the six pieces of wood that are one and one third feet long.
The three pieces of wood that are two and three fourths feet long have a total length of 3 * 2 and 3/4 = 6 and 1/4 feet.
The six pieces of wood that are one and one third feet long have a total length of 6 * 1 and 1/3 = 8 and 2/3 feet.
To find the total length of all the pieces of wood, we need to add the total length of the three pieces that are two and three fourths feet long and the total length of the six pieces that are one and one third feet long. This gives us a total of 6 and 1/4 + 8 and 2/3 = 14 and 7/12 feet.
Therefore, Harry will need a total of 14 and 7/12 feet of wood for the project. This is equivalent to approximately six and one third feet, so the correct answer is d) six and one third feet.
inverse function
[tex]f(4) = 7 {f}^{ - 1} = ?\ \textless \ br /\ \textgreater \ [/tex]
If f(4) = 7 then the inverse of the function f⁻¹(7) is 4.
What is function?Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
The given function is,
f(4) = 7
According to inverse function property,
if f(x) = y, then f⁻¹(y) = x
The inverse of function,
f⁻¹(7) = 4
The inverse of the function f(4) = 7 is f⁻¹(7) = 4.
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Samuel and Joyce both bought CDs. Samuel bought 3x CDs and Joyce bought 2x-1 CDs.
¿Drive
mS
amS
Part A: If each CD had a regular price of $18 and a discount of $2, then which expression would show the amount of discount for all of their CDs?
Part B: What is the expression for the COST of their CDs, combined (ignore tax)?
Step-by-step explanation:
Part A: 3(-2) + 2(-2)
Part B: [3(8) + 2(18) - 1] - [3 + 2(-2)]
Price Discount
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 2 small boxes has a total weight of 83 kilograms. A delivery of 5 large boxes and 6 small boxes has a total weight of 175 kilograms. How much does each type of box weigh?
large box:
small box:
Answer:
Large box: 18.5 kg
Small box: 13.75 kg
Step-by-step explanation:
Let L represent a large box, and S represents a small box
We have the equation
3L + 2S = 83 kg
5L + 6S = 175 kg
We time the first equation by -3
-9L - 6S = - 249 kg
5L + 6S = 175 kg
Now Let's find the large box weighs first
Add both equation and we get
-4L = -74 kg
L = 18.5 kg
Now put 18.5 in for the L to find the weight of the small box
5(18.5) + 6S = 175 kg
92.5 + 6S = 175 kg
6S = 82.5 kg
S = 13.75 kg
Answer:
x as large; y as small
3 large + 2 small = 83 (1st equation)
5 large + 6 small = 175 (2nd equation)
3x + 2y = 83 (multiply by -5)
5x + 6y = 175 (multiply by 3)
-15x - 10y = -415
15x + 18y = 525 (simplify)
8y = 110
y = 13.75 (small box weight)
3x + 2y = 83 (substitute the value of y)
3x + 2(13.75) = 83
3x + 27.5 = 83
3x = 55.5
x = 18.5 (large box weight)
CHECKING:
3x + 2y = 83
3(18.5) + 2(13.75) = 83
55.5 + 27.5 = 83
83 = 83 (1st equation is proven right)
5x + 6y = 175
5(18.5) + 6(13.75) = 175
92.5 + 82.5 = 175
175 = 175 (2nd equation is proven right)
therefore, large box weight is 18.5kg and the small box weight is 13.75kg.
#APPROVED
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Casho has a points card for a movie theater. She receives 55 rewards points just for signing up. She earns 2.5 points for each visit to the movie theater. She needs at least 90 points for a free movie ticket. Use the drop-down menu below to write an inequality representing v, the number of visits she needs to make in order to get a free movie ticket.
Answer: She need 14 visits to reach 90 points
Step-by-step explanation:
Let y be the number of points and v be the number of visits
We will have an equation
y= 2.5v + 55
Now we want to find the number of visits she needs to reach 90 points; we put 90 in the y.
90 = 2.5v +55
Subtracted 55 from both sides
35 = 2.5v
Divided both sides by 2.5
v= 14 visits
So she need 14 visits to reach 90 points
is 65% grater or less than 3/ 5
Answer:
Greater than
Step-by-step explanation:
65% =65/100=6.5/10=3.25/5
Answer 1+13-b
I just built diff
Can someone please help me with this problem?
Answer: 18/9 if not it's something along that-
Step-by-step explanation:
7^2 = 49 so like 49-31 equals 18 and the denominator 3^2 = 9 , so if it's not 18/9 then it's like 1/2 or something bc 9 + 9 is 18 yk-
There are 10 finalists in a figure skating competition. How many ways can gold, silver, and bronze medals be awarded?
Answer:
720
Step-by-step explanation:
[tex]\frac{n!}{(n-r)!}[/tex]
[tex]\frac{10!}{(10-3)!}[/tex]
[tex]\frac{10!}{7!}[/tex]
720
suppose v1,v2,...,vn is a set of vectors each of dimension d. if d < n, what is the maximum number of linearly independent vectors that you can draw from the set? justify your answer
The dimension is d and d<n. Thus maximum number of linearly independent vectors that can draw from the set V1, V2....Vn is d.
First note that for "any vector space V, basis B of V is maximal linearly independent set in V". That is there is no other any linearly independent set which contains more than |B| number of elements on B. Let us consider this statement as 1. Two or greater vectors are stated to be linearly independent if none of them may be written as a linear mixture of the others. On the contrary, if at the least certainly considered one among them may be written as a linear mixture of the others, then they may be stated to be linearly dependent. Now here dimension is d and d<n. Thus maximum number of linearly independent vectors that can draw from the set V1, V2....Vn is d.
Thus, the maximum number = d
Therefore, statement is true hence proved.
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Please I need help, please answer the question in the image, please and thank you.
The rate of change of the given data between 3 and 7 hours is; 19 miles per hour
How to calculate the rate of change?We are told that rate of change is the difference between what the value of the data began at versus the value the data ended at.
Now, the formula for the rate of change between two coordinates (x₁, y₁) and (x₂, y₂) is;
Rate of change = (y₂ - y₁)/(x₂ - x₁)
Now, we are told that we should find the rate of change from 3 to 7 hours and so we first write the coordinates;
(3, 209) and (7, 285)
Thus;
Rate of change = (285 - 209)/(7 - 3)
Rate of change = 76/4
Rate of change = 19 miles per hour
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PLS answer i dont understand how to do it
Answer:
answer on the picture. Let me know if I am right!
find the minimum sample size needed to be 95% confident that the sample's variance is within 20% of the population's variance.
96 minimum sample size required to have 95% confidence that the variance of the sample is within 20% of the variance of the population.
Given that,
We have to determine the minimal sample size required to have 95% confidence that the variance of the sample is within 20% of the variance of the population.
We know that,
Confidence Interval is CI=95%
Variance is σ²=20%
We have
n=(Z/M.E)²
n=(1.96/0.20)²
n=(9.8)²
n=96.04
Therefore, 96 minimum sample size required to have 95% confidence that the variance of the sample is within 20% of the variance of the population.
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A company ha net ale of $732400 and cot of good old of $293400. It gro profit equal:
By subtracting the cost of goods sold form the net sales, the gross profit = $439000.
What is gross profit?Gross profit is a financial measure that represents the difference between a company's net sales and the cost of goods sold. It is a key indicator of a company's profitability and can be used to assess the efficiency of the company's operations.
What is the formula to calculate gross profit?The formula for calculating gross profit is:
Gross profit = net sales - cost of goods sold
Gross profit = net sales - cost of goods sold
Gross profit = $732400 - $293400
Gross profit = $439000
Therefore, the gross profit of the company is $439000.
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7. 20,000 pounds equals how many us tons? a. 2,000 tons b. 10 tons c. 10,000 tons d. 1 ton
20,000 pounds equals to 10 US ton.
Pound is the name of a type of currency. It was used in many different countries both in the past and at the present time. The Latin expression libra pond, in which pond is an adverb meaning "by weight" and libra is a noun meaning "pound," is where the English term "pound" comes from. US Mass is measured in tons, which is one ton. In the United States, where it is frequently used, it is referred to as a common ton.Value conversion from Pound to US Ton
Add the value and the conversion ratio together.
1 pound = 0.0005 US ton
20,000 pounds worth
20,000 pounds × value of one US ton
20,000 × 0.0005
10 tons
Therefore, 20,000 pounds equals to 10 US ton.
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Why is it even? There is 3 arrays in total.
Answer: welp what is inside of the arrays
Step-by-step explanation:
-3x² - 4x +8>4
solve inequality and state solution in interval and inequality notation 100 points
Answer:
Step-by-step explanation:
< 4/7
a certain statistic dˆ is being used to estimate a population parameter d. the expected value of dˆ is not equal to d. what property does dˆ exhibit?a. The sampling distribution of d hat is normal.b. The sampling distribution of d hat is binomial.c. The sampling distribution of d hat is uniform.d. d hat is unbiased.e. d hat is biased.
The right answer is: E, according to the Central Limit Theorem for proportionality. The statistic is inaccurate.
In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.
The Central Limit Theorem establishes that for a proportion p in a sample of size n:
The expected value is μ=р
The standard error is s=[tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
In this problem, the expected value is different of the expected of μ=р , hence, the statistic is biased, and the correct option is E.
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what is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations? (round your answer to three decimal places.)
0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations
To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.
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A landscaper has 6 pounds of seed available. He uses of a pound of grass seed for each acre he plants. Determine how many whole acres can be planted with the available seed.
Answer: Only 1 pound.
Step-by-step explanation: It saying it Infront of ya as it said "1 pound fills each acre each".
sketch the curve with equation x2/3 + y2/3 = 4 and use symmetry to find its length.
Answer:
Step-by-step explanation:Sketch the curve with equation x^(2/3) + y^(2/3) = 1 and usesymmetry to find its length.
ANSWER ASAP
L=M-N solve for N
1. N=M - L
2. N= LM
3. N= M + L
4. N= L - M
Answer:
1) N = M - L
Step-by-step explanation:
Given equation,
→ L = M - N
Now the value of N will be,
→ L = M - N
→ M - N = L
→ -N = L - M
→ N = -L + M
→ [ N = M - L ]
Hence, value of N is M - L.
In the equation 5x + 9 = 3x, _________ and
__________ are like terms.
Answer: 5x and 3x
Step-by-step explanation:
5x and 3x are like terms because they both have the same variable being multiplied to them which is x.
on average, for every hour spent on clinical care how much time is spent on the ehr documenting care? one half hour four hours one hour two hours
On average, for every hour spent on clinical care two hours is spent on the EHR documenting care.
According to a new survey, physicians spend slightly over 16 minutes every patient visit examining electronic health records(EHR). For every hour of clinical care two hours are spend on EHR documentation. According to the study published in the Annals of internal medicine this accounts for a large percentage of a physician's day.
An Electronic Health Record (EHR) is an electronic version of a patients medical history, that is maintainrd by the provider over time, and may include all of the key administrative clinical data relevent to that persons care under a particular provider. It helps providers better manage care for patients and provide better health care.
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-2x² + 41=0
Solve quadratic formula
Answer:
Step-by-step explanation:
A family member has two and one fifth yds of ribbon, and you add two thirds yds to it. How much ribbon would you each get if you split the total amount in half?
forty three over fifteen
thirty four over fifteen
forty three over thirty
twenty two over thirty
Answer:
C) forty three over thirty----------------------------------------------------
Add up the two numbers:
two and one fifth + two thirds = 2 1/5 + 2/3 = 11/5 + 2/3 = Covert mixed number to fraction3*11/(3*5) + 5*2/(5*3) = Common denominator is 3*5 = 1533/15 + 10/15 = Add up fractions43/15 SumSplit this in half:
43/15 : 2 = 43/30This is matching the third option.
Find the 5 times the difference of 22 and 16 added to 5 multiplied by the sum of 10 and 8.
Answer:
120
Step-by-step explanation:
5(22-16) + 5(10+8)
5(6) + 5(18)
30 + 90
120
an apple chew was selected 53 times a lemon chew was selected 3 times a peach chew was selected 3 times what's the probability
The probability that the next chew that Jamar removes from the bag will be an apple chew is of:
0.9 = 90%.
How to calculate the probability?In the context of an experiment, a probability is calculated as the division of the number of desired outcomes in the context of the problem by the number of total outcomes in the context of the experiment.
In this problem, the outcomes are given from the previous experiments, hence we have an experimental probability.
The outcomes are given as follows:
Desired: apple chew = 53 outcomes.Total: 53 + 3 + 3 = 59 outcomes.Then the probability that the next chew that Jamar removes from the bag will be an apple chew is calculated as follows:
p = 53/59 = 0.9 = 90%.
Missing InformationThe problem is given by the image shown at the end of the answer.
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