The original attendance of the video game club was 28.57 members.
To determine the original attendance of the video game club, you can use the following formula:
Original attendance = (Number of members lost) / (Percent of group that left)
Plugging in the values from the problem, we get:
Original attendance = (8 members) / (28%)
To solve this equation, you need to convert the percent to a decimal by dividing it by 100. This gives us:
Original attendance = (8 members) / (0.28)
Then, you can solve the equation by dividing the number of members lost by the decimal equivalent of the percent:
Original attendance = 28.57 members
Therefore, the video gaming club had 28.57 members when it first started.
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a right cylinder has a height of 22 1/4ft and a diameter 2 2/5 times it’s height. what is the volume of the cylinder
Answer:
Step-by-step explanation:
Answer:
Check Below
Step-by-step explanation:
given things : 1. height of cone = 22* 1/4 feet or 89/4 feet
2. diameter of cylinder = 2* 2/5 times of height
= 12/5 times of height or 12/5 * 89/4
= 89*3/5 feet
now formula of volume of cone = Pi R² * H
= (3.14) ( D/2)² * H
= (3.14)* (89*3/10)² * 89/4
= (3.14) * (26.7)² * 22.25
= (3.14) * 712.89 * 22.25
= (49806.06)
Hope u find this answer Helpful !
Consider the vectors: a=(1,1,2),b=(5,3,λ),c=(4,4,0),d=(2,4), and e=(4k,3k)
Part(a) [3 points] Find k such that the area of the parallelogram determined by d and e equals 10 Part(b) [4 points] Find the volume of the parallelepiped determined by vectors a,b and c. Part(c) [5 points] Find the vector component of a+c orthogonal to c.
The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).
a) Here the area of the parallelogram determined by d and e is given as 10. The area of the parallelogram is given as `|d×e|`.
We have,
d=(2,4)
and e=(4k,3k)
Then,
d×e= (2 * 3k) - (4 * 4k) = -10k
Area of parallelogram = |d×e|
= |-10k|
= 10
As we know, area of parallelogram can also be given as,
|d×e| = |d||e| sin θ
where, θ is the angle between the two vectors.
Then,10 = √(2^2 + 4^2) * √((4k)^2 + (3k)^2) sin θ
⇒ 10 = √20 √25k^2 sin θ
⇒ 10 = 10k sin θ
∴ k sin θ = 1
Therefore, sin θ = 1/k
Hence, the value of k is 1.
Part(b) The volume of the parallelepiped determined by vectors a, b and c is given as,
| a . (b × c)|
Here, a=(1,1,2),
b=(5,3,λ), and
c=(4,4,0)
Therefore,
b × c = [(3 × 0) - (λ × 4)]i + [(λ × 4) - (5 × 0)]j + [(5 × 4) - (3 × 4)]k
= -4i + 4λj + 8k
Now,| a . (b × c)|=| (1,1,2) .
(-4,4λ,8) |=| (-4 + 4λ + 16) |
=| 12 + 4λ |
Therefore, the volume of the parallelepiped is 12 + 4λ.
Part(c) The vector component of a + c orthogonal to c is given by [(a+c) - projc(a+c)].
Here, a=(1,1,2) and
c=(4,4,0).
Then, a + c = (1+4, 1+4, 2+0)
= (5, 5, 2)
Now, projecting (a+c) onto c, we get,
projc(a+c) = [(a+c).c / |c|^2] c
= [(5×4 + 5×4) / (4^2 + 4^2)] (4,4,0)
= (4,4,0.5)
Therefore, [(a+c) - projc(a+c)] = (5,5,2) - (4,4,0.5)
= (1,1,1.5)
Therefore, the vector component of a + c orthogonal to c is (1,1,1.5).
Conclusion: The value of k is 1, the volume of the parallelepiped is 12 + 4λ, and the vector component of a + c orthogonal to c is (1,1,1.5).
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i
4
(4, 3))
2
4 x
(1, -1)
The slope is positive v
Find the slope.
Answer:
the slope is 4/3
Step-by-step explanation:
so the equation of your problem would be y=4/3x-2
-2 is your y-intercept (or your b)
pls vote brainliest tyyy <3
What are the measures of angles b and d? ∠b = 55°; ∠d = 55° ∠b = 55°; ∠d = 125° ∠b = 97°; ∠d = 97° ∠b = 83°; ∠d = 97°
In parallelogram ABCD, ∠b = 55°; ∠d = 55. So, the correct answer is (a).
We know that opposite angles of a parallelogram are congruent. In another words, opposite angles of parallelogram are equal. Therefore, we equate the angle B and angle D to each other and solve.
angle B = angle D
2n + 15 = 3n - 15
n = 30
The value of n is 30.
Now we can find the measures of angles B and D:
angle B = 2n + 15 = 2(30) + 15 = 75 degrees
angle D = 3n - 15 = 3(30) - 15 = 75 degrees
Therefore, the answer is (a) ∠b = 55°; ∠d = 55
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____The given question is incomplete, the complete question is given below:
In parallelogram ABCD measure of angle b is 2n+15 and angle d is 3n - 15. What are the measures of angles b and d? a)∠b = 55°; ∠d = 55° b) ∠b = 55°; ∠d = 125° c) ∠b = 97°; ∠d = 97° d)∠b = 83°; ∠d = 97°
Answer:
The Answer is A
Step-by-step explanation:
I just took the test! 2023Edg
6 The month of July has 31 days. Calculate the number of seconds in the month of July.
Answer:
2,678,400
Step-by-step explanation:
July : 31 days
Day : 24 hours
Hours : 60 minutes
Minute 60 seconds
1. 60 × 60 : 3600
2. 3600 × 24 : 86400
3. 86400 × 31 : 2678400
Pls like I got it wrong the first time :')
The month of July has 2,678,400 seconds as per the concept of multiplication.
To calculate the number of seconds in the month of July, we need to consider that each day has 24 hours, each hour has 60 minutes, and each minute has 60 seconds. Since July has 31 days, we can perform the following calculations:
Number of hours in July: 31 days x 24 hours = 744 hours.
Number of minutes in July: 744 hours x 60 minutes = 44,640 minutes.
Number of seconds in July: 44,640 minutes x 60 seconds = 2,678,400 seconds.
Therefore, the month of July has 2,678,400 seconds. This calculation assumes that there are no leap seconds added during this period. It's worth noting that the number of seconds in a month can vary if leap seconds are inserted to adjust for discrepancies between atomic time and solar time. However, since the question does not specify any leap seconds, the calculation provided represents the standard number of seconds in the month of July.
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hey heyy anyone here *PLS MUST ANSWER ASAP TY*
Answer:
(-1, 5) and (3, -3)
Step-by-step explanation:
The possible solutions for two graphs are the points where the intercepts each other.
Seo-Yun organizó una fiesta. Comprar 50 recuerditos para regalar y les dio 3 recuerditos a cada uno de sus invitados conforme llegaban a la fiesta.
Escribe una fórmula explícita para la sucesión.
g(n)=
Answer: nose
Step-by-step explanation:
Nicole has a machine that will produce a number from 1 through 50 when she pushes a button. a. p (multiple of 10)? b. p (not 100)? c. p (not a multiple of 4)? d. p (one-digit number)?
Total outcome is 50 [because the number produced by the machine is from 1 to 50]
Question a:
Multiple of 10 are 10, 20, 30, 40, 50
There are five possible outcomes for multiple of 10
P(Multiple of 10) = 5/50 = 1/10
Question b:
Number 1 to 50 will be all the outcomes that are not 100
There are 50 possible outcomes
P(not 100) = 50/50 = 1
Question c:
Multiple of 4 that are less than 50 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48
There are 12 possible outcomes for multiple of 4
We want 'not multiple of 4' so we need to do 50 - 12 = 38 outcomes
P(not a multiple of 4) = 38/50 = 19/25
Question d:
One digit numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9
There are 9 possible outcomes
P(one-digit number) = 9/50
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which one of the pairs has a positive correlation (relationship) between them, in general? group of answer choices the years of experience of an employee and the salary of an employee the number of times a pencil is sharpened and the length of a pencil the diameter of an apple and the weight of an orange the age of a car and the resale value of a car
The pair that has a positive correlation (relationship) between them, in general, is the years of experience of an employee and the salary of an employee. So, the correct answer is A).
A positive correlation indicates that as one variable increases, the other variable tends to increase as well. In the given pairs, the years of experience of an employee and the salary of an employee are likely to have a positive correlation.
This is because, in many job settings, employees with more experience often receive higher salaries. As individuals gain more experience and develop their skills, they become more valuable to employers, leading to increased compensation.
However, it is important to note that correlation does not imply causation, and other factors may also influence salary apart from just years of experience. So, the correct option is A).
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R is the midpoint of OP and QR is perpendicular to OP in the diagram below.
Find the length of QR.
17 in
0 24 in
0 16 in
Answer:
24
Step-by-step explanation:
Help me with this please guys
Answer:
c
Step-by-step explanation:
30 = -5 = ___
Divide you answer
Answer:
6 possibly
Step-by-step explanation:
you said to divide so
30/5=6
When doing surveys there is a formula for figuring out how many different answers there could be. I need help, with that. A sociologist designs a 10-item survey. Each item asks for an opinion on a scale of 1 to 5.
How many different ways could a person answer the survey?
10⋅5
10 times 5
10!
10 factorial
105
10 to the 5th power
510
5 to the 10th power
or 10!/5!
10 over 5 factorials
The formula for determining the number of different ways a person can answer a survey is to multiply the number of options for each question together. In this case, the survey has 10 items and each item has 5 options on a scale of 1 to 5. There are 50 different ways a person can answer this survey.
To calculate the number of different ways a person can answer the survey, we multiply the number of options for each item together:
10 x 5 = 50
So, there are 50 different ways a person can answer this survey.
Let's break it down further:
For the first item, the person can choose from 5 options (1, 2, 3, 4, or 5).
For the second item, the person can also choose from 5 options.
Similarly, for all 10 items, the person has 5 options each.
To find the total number of different ways, we multiply the number of options for each item together:
5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 50
Therefore, there are 50 different ways a person can answer this survey.
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HELP ME PLEASEE!!!!!!
Answer:
77
Step-by-step explanation:
hope this helps!!!!! :))
Answer:
the answer is 77
Step-by-step explanation
Someone help please
Answer:
\(6^\frac{1}{10}\)
11. three cards are dealt from a well-shuffled deck. (a) find the chance that all of the cards are diamonds. (b) find the chance that none of the cards are diamonds. (c) find the chance that the cards are not all diamonds
The probability that the chosen card is a diamond is 3/13. According to the definition of probability, which is "the degree to which something is probable; the likelihood of something happening or being the case," there is a 1/13 chance that none of the cards will be diamonds.
What is probability?Probability is simply the likelihood that something will happen. The likelihood or likelihood of various outcomes can be discussed when we don't know how an event will turn out. The study of events that fit into a probability distribution is known as statistics. The full range of potential outcomes is known as the sample space, or individual space, of a random experiment. The likelihood of any event occurring ranges from 0 to 1. Probability is the study of random events in mathematics, and it can be classified into four main categories: axiomatic, classical, empirical, and subjective. You could say that probability is the likelihood that a particular event will occur because probability and possibility are synonyms.
Here,
a. Given that there are 13 diamond cards, the probability that all the cards are diamonds is 3/13.
b. the likelihood that none of the 52 cards, with 13 diamond cards, are diamonds.
unused card = 52-13 = 39 = 3/39
There is a 3/13 chance that the selected card will be a diamond. There is a 1/13 chance that no cards will be diamonds, according to the definition of probability, which is "the degree to which something is probable; the likelihood of something happening or being the case."
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multiply choice question! which one?
Step-by-step explanation:
the option that you've chose.
it's the correct answer!
have a good day :)
Answer:
The answer is D. number 4.
please help! Simplify the polonomial!
Answer:
Step-by-step explanation:
(2\(x^{2}\)+3)(x+4)
2\(x^{3}\)+8\(x^{2}\)+3x+12
select all the expressions that equal.. *see picture for problem*
Answer:
Step-by-step explanation:
oknjbgfkdfrgn jnfbfl
Find the function f, if: f'(x)=2/(x^3) + 4e^x + 5, f(-1)=1, f(1)=-1 (Note: Consider the domain and write the answer in ascending order of the variable).
Answer:
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
Step-by-step explanation:
We can find the function f(x) by integrating f'(x) with respect to x:
â«f'(x) dx = â«(2/(x^3) + 4e^x + 5) dx
f(x) = -1/x^2 + 4e^x + 5x + C
To find the constant C, we can use the given initial conditions:
f(-1) = 1 = -1/(-1)^2 + 4e^(-1) - 5 + C
C = 1 + 1/1 - 4e^(-1)
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
Therefore, the function f(x) is:
f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)
amber must make up a vocabulary quiz. she can take it during her lunch or after school on wednesday, thursday, or friday. The tree diagram shows the possible combination of the times she can make up the quiz
Answer:
6
Step-by-step explanation:
Willgood is sorting its production supply of pairs of socks. they have 346 pairs of socks. the first 100 are donated, and the rest are split up to be shipped to 9 stores. what fraction represents how many pairs of socks each store will receive? input your answer as a mixed number
The fraction that represents the pairs of socks each store will receive is 82/3.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Total number of pairs of socks = 346
Number of socks to be shipped = 346 - 100 = 246
Number of stores = 9
The number of pairs of socks each store will receive.
= 246/9
= 82/3
Thus,
The fraction is 82/3.
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Vishal wants to burn at least 2,400 calories during his weekly workouts. He burns 400 calories per hour swimming and 600 calories per hour rollerblading. He decides to swim for 3 hours this week. How many hours must he rollerblade to reach his goal?
Answer:
2 hours
Step-by-step explanation:
given that the calorie burn rates are:
swimming: 400 cal / hour
rollerblading: 600 cal / hour
If he swims for 3 hours, he will burn:
400 cal / hour x 3 hours
= 1200 cal
Since his goal is 2400 calories, the number of calories that he has left to burn after swimming is:
2400 - 1200
= 1200 calories.
Number of hours of rollerblading to burn 1200 calories
= 1200 calories ÷ 600 calories per hour
= 2 hours
Answer:
B. y > = 2
The second part is
A. At least 2
Step-by-step explanation:
Just took it. Edg 2020. Hope this helps :)
Please quick A car travels 320 miles on 10 gallons of gas. How far could the car travel on 25 gallons of gas?
Answer:
800 miles.
Step-by-step explanation:
He would travel 800 miles because 320 divided by 10 is 32. 32 multiplied by 25 is 800.
Hope this helps!
Select the correct answer.
Caroline is planting flowers in her garden. She plants her first 7 flowers in 4 minutes. After 12 minutes, she has planted 21 different flowers.
Which equation represents this direct variation?
The answer is B) y= 7/4x
This is because when you graph it you would go up 7 and over 4- you just had to find the rise over run. I also just made sure it was correct on edmentum!
Caroline is planting her first 7 flowers in 4 minutes and then past 12 minutes, she plants 21 different flowers. That suggests that she is planting the flowers following the given equation y=(7/4)x.
What is dependant variable?The dependent variable is defined as the variable whose evaluation of the independent variable determines the quality of the dependent variable. That is, it is consistently claimed that the word variable's estimate depends on the mathematical condition's free variable.
How to solve it?Let Caroline plant y flowers in x minutes.
By using the unitary method we can observe that
4 minutes → 7 flowers
⇒ 1 minute → 7/4 flowers
⇒ x minutes → (7/4)x flowers
Hence, Caroline is planting y=(7/4)x flowers in x minutes. And y=(7/4)x this equation represents the variation perfectly.
NOTE: We took the number of flowers planted as y because it is a dependent variable. The number of flowers depends on the time elapsed.
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I need help with the 20% part of the problem.
a. Approximately 25% of all mice have a mass of less than 19.40 grams.
b. Approximately 20% of all mice have a mass of more than 19.43 grams.
How to calculate the valuea. Using a standard normal distribution table, we can find the z-score that corresponds to a cumulative probability of 0.25. The closest value we can find in the table is 0.67.
z = 0.67
Substituting the values back into the formula, we can solve for x:
x = 0.67 * 0.14 + 19.3
x ≈ 19.402 grams
b) In order to find the mass at which 20% of mice have a higher mass, we need to find the z-score associated with the cumulative probability of 0.80 (since 1 - 0.20 = 0.80). The closest value in the standard normal distribution table is 0.84.
z = 0.84
x = 0.84 * 0.14 + 19.3
x ≈ 19.432 grams
Therefore, approximately 20% of all mice have a mass of more than 19.43 grams.
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after keeping his money in a bank account with a 25+ simple interest rate for 3 years, Jason earned
$337.50 in interest. How much money did he have in the account when he first opened t?
Answer:
134.50
Step-by-step explanation:
Calculate the concentrations of all species present in 0.72 M
NH3 (Kb=1.8×10−5).
Express your answers using two significant figures separated by
commas. Enter the concentrations of the species in t
To calculate the concentrations of all species present in a 0.72 M NH3 solution (Kb=1.8×10−5), we can use the principles of the equilibrium expression for the dissociation of NH3 in water.
NH3 (ammonia) is a weak base that reacts with water to form NH4+ (ammonium) and OH- (hydroxide) ions. The equilibrium expression for this reaction can be written as:
NH3 + H2O ⇌ NH4+ + OH-
Since the initial concentration of NH3 is 0.72 M, we can assume that x mol/L of NH3 will dissociate to form x mol/L of NH4+ and OH-. Therefore, the concentrations of NH4+ and OH- will also be x mol/L.
To calculate the value of x, we can use the Kb expression, which relates the equilibrium constant to the concentrations of the species. In this case, Kb = [NH4+][OH-]/[NH3]. Substituting the known values, we have:
1.8×10−5 = x * x / (0.72 - x)
Solving this equation will give us the value of x, which represents the concentration of NH4+ and OH-. Finally, we can express the concentrations of NH3, NH4+, and OH- using two significant figures, separated by commas, based on the calculated value of x.
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The scatter plot to the right shows the cost (y), in dollars, of orange trees based on their ages (x), in years. Based on the scatter plot, which equation represents the line of best fit for the cost of the orange trees?
A y=15.7x
B y=11.8x+29.2
C y=15.7+40.0
D y=11.8x
Answer:
The answer to your problem is, B. y=11.8x+29.2
Step-by-step explanation:
Determine the line of the best fit grpahically
Find the problem:
y = 11 x 8x + 29 x 2 B.
If the order of selection is considered relevant, in how many ways cankobjects beselected from a set ofnobjects?
Permutation is the number of ways a number of k objects can be selected from a set of n objects while giving relevance to the order selection.
The two ways of forming subsets from selecting a group of objects from a set are through combination and permutation. The act of selecting objects and arranging them into some kind of order is the process of permutation. On contrary, combination is the type of selecting objects wherein the order is not really important.
The selection process stated in this problem is permutation. Let P be the number of ways a k number of objects is chosen from a set of n objects.
For a permutation that allows repetition or replacement of the chosen object:
P= n*n*(k number of objects that will be selected)= \(n^{k}\)
For a permutation that does not allow repetition or replacement of chosen object:
\(P = \frac{n!}{(n-k)!}\)
Factorial is used to indicate the descending number of choices every time an object is selected. In order to select a k number of things, factorial n will be divided by the factorial of n-k.
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