The distance, , travelled by a particle is directly proportional to the square of the time, , taken.
When ,
Find a formula for in terms of .
Answers
The formula for the distance (d) travelled by a particle in terms of the time (t) taken is: d = kt^2.
When a distance is directly proportional to the square of the time, we can express this relationship using a proportionality constant (k). In this case, the distance is given by d, and the time is given by t.
The formula d = kt^2 indicates that the distance traveled is directly proportional to the square of the time taken. This means that as the time increases, the distance covered will increase by a factor proportional to the square of the time.
The constant of proportionality, k, represents the rate at which the distance increases with respect to the square of the time. It is determined by the specific conditions or characteristics of the particle's motion.
By using this formula, we can calculate the distance traveled by the particle for any given time value, by substituting the value of t into the equation.
Therefore, the formula d = kt^2 represents the relationship between the distance (d) and the time (t) for the particle's motion.
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Related Questions
In your opinion, which is better a romance book or a story book??
Answers
The question of which is better, a romance book or a storybook, is subjective and depends on individual preferences. But in my opinion, story book is better.
Why story book is betterA romance book typically centers around a romantic relationship between two characters and is focused on emotional and personal development. In contrast, a storybook can cover a broad range of genres, including adventure, mystery, sci-fi, fantasy, etc. They can also have romance as a subplot but are not limited to it.
When it comes to the question of which is better, it ultimately depends on individual preferences. Romance books may be more appealing to readers who enjoy exploring the intricacies of relationships, while storybooks may be more suitable for those who prefer diverse storytelling.
In terms of how a storybook can be better than a romance book, one reason is the sheer variety of genres and styles that storybooks can offer. Readers who are looking for a thrilling adventure or a thought-provoking mystery may find a storybook more engaging than a romance novel, which often follows a similar formula.
Additionally, storybooks can introduce readers to new worlds, characters, and ideas, making them not just entertaining but also educational. This can provide a more enriching experience for readers, as they can learn and expand their knowledge while enjoying a good story.
Overall, the question of which is better, a romance book or a storybook, is subjective and depends on individual preferences. Both can offer unique and engaging experiences, and readers should choose the one that suits their tastes and interests.
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turn -8 7/11 into a decimal
Answers
Answer:
-8.6363 the proper answer (estimated) is -8.66
Answer:
-7.37 is the answer for this.
Which of the following expressions are equivalent to log base 2 24
Answers
Answer:
Option A, Option B and option D
Step-by-step explanation:
㏒₂ 72 - ㏒₂ 3 = ㏒₂ (72 ÷ 3)
= ㏒₂ 24
2 ㏒₂ 2 + log₂ 6 = log₂ 2² + log₂ 6
= log₂ 4 + log₂ 6
= log₂ (4*6)
= log₂ 24
log₂ 6 + log₂ 4 = log₂ (6*4)
= log₂ 24
Kiki works in a furniture store. Her base salary is $150 per day, plus 8 percent commission on her sales. She sells several high-priced items. What is the total amount she earned over these three days? $ Day Item Price 1 Sofa Chair $350 N Loveseat $500 3 Couch $1,200
Answers
Answer:
Step-by-step explanation:
46.75 - 0.10(46.75) = 46.75 - 4.675 = 42.075 rounds to 42.08
ur simply taking ur discounted price of $ 46.75 and subtracting 10% of 46.75....leaving u with a final price of 42.08
Answer: 614
Step-by-step explanation:
because i did it on edge 2020
resuelve e indica las raices 2x ^2 - x - 3 - 5 = 0
Answers
Answer:
wwwwwwwwwwwwwwwwwwww
Question 23 of 23
What are the coordinates of the point that is of the way from A to B?
6-
B (9,5)
8 10
-4
-2
A(-3-3)
O A. (3, 1)
OB. (-1,0)
OC. (6,3)
O D. (0, -1)
2 4
6
Answers
Answer:
D
Step-by-step explanation:
The change in x from A to B is 12, and 1/4 of this is 3.
Adding this to the x coordinate of A, we get 0.
The only option with an x coordinate of 0 is D.
Does someone mind helping me with this. Thank you!
Answers
Answer:13
Step-by-step explanation:
y=kx
Substitute values
104=8k
Divide both sides by 8 to solve for k
k=13
Please answer quickly
Answers
Answer:
\(y+2=\frac{5}{2} (x-6)\)
Step-by-step explanation:
point-slope form: y-y1=m(x-x1)
x1=6
y1=-2
m=5/2
\(y+2=\frac{5}{2} (x-6)\)
what is the
area of 3in 4in 5in
Answers
Answer:
60inches
Step-by-step explanation:
3 times 4 equals 12. 12 times 5 equals 60. so the volume should be 60 inches.
Answer:
60in squared
Step-By-Step explination:
A= L x W x H
A= 3 x 4 x 5
A= 12 x 5
A = 60in
2. If a random sample of size n is selected from the finite population that consists of the integers 1,2,⋯,N, show that 1. the mean of X
ˉ
is 2
N+1
; 2. the variance of X
ˉ
is 12n
(N+1)(N−n)
; 3. the mean and the variance of Y=n⋅ X
ˉ
are E(Y)= 2
n(N+1)
,var(Y)= 12
n(N+1)(N−n)
Answers
1. the mean of X is: E(X) = (N + 1)/2N [mean of X]
2. the variance of X is: Var(X) = [(N^2 - 1)/12n] [variance of X]
3. the mean of X is 2/(N + 1), the variance of X is 12n(N + 1)(N - n), the mean of Y is 2n/(N + 1), and the variance of Y is 12n(N + 1)(N - n).
To show the properties of the sample mean (X) and the random variable Y = n · X when a random sample of size n is selected from the finite population of integers 1, 2, ..., N, we can use the properties of random sampling.
1. Mean of X:
The mean of X can be calculated by taking the average of all possible sample means. Since each integer from 1 to N is equally likely to be selected in the sample, the expected value of each selected integer is the average of the population, which is (1 + 2 + ... + N)/N = (N + 1)/2. Therefore, the mean of X is:
E(X) = (N + 1)/2N [mean of X]
2. Variance of X:
The variance of X can be calculated by considering the variability in the selection of each integer. Since each integer has an equal chance of being selected, the variance of each selected integer is the variance of the population, which is [(N^2 - 1)/12]. Additionally, the sample size n introduces variability in the sample mean. Therefore, the variance of X is:
Var(X) = [(N^2 - 1)/12n] [variance of X]
3. Mean and Variance of Y:
The random variable Y = n · X represents the sum of the selected integers in the sample. By linearity of expectation, the mean of Y is the product of n and the mean of X:
E(Y) = n · E(X) = n(N + 1)/2N [mean of Y]
The variance of Y can be calculated using the property that the variance of a scaled random variable is equal to the squared scale factor times the variance of the original random variable. Therefore, the variance of Y is:
Var(Y) = n^2 · Var(X) = n^2(N^2 - 1)/12n = (N^2 - 1)/12 [variance of Y]
Simplifying further, we get:
Var(Y) = (N^2 - 1)/12n(N + 1) [variance of Y]
So, the mean of X is 2/(N + 1), the variance of X is 12n(N + 1)(N - n), the mean of Y is 2n/(N + 1), and the variance of Y is 12n(N + 1)(N - n).
Note: The above results assume simple random sampling without replacement. If sampling is done with replacement, the variance formulas would be slightly different.
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√87 is approximately equal to
A:100
B:9
C:8
D:8.7
Answers
Answer:9
Step-by-step explanation:
the square root of 87 is 9.32737905309 which rounds to 9
Forty percent of the pupil in m. Alcantara' grade 6 claa are 12 year old. Another 0. 25 are 13 year old and the ret of the cla i 11 year old. Write 11 a a fraction,decimal,and percent
Answers
Answer:
7/20
0.35
35%
Step-by-step explanation:
12 year olds: 40%
12 year olds: 25%
11 year olds: 100% - 40% - 25% = 35%
35% = 35/100 = 7/20
35% = 0.35
35% = 35%
How to solve for x also what is an equation that I could do?
Answers
Answer:
x=15
Step-by-step explanation:
5x+17+36=128
5x+53=128
5x=75
x=15
Simplify the expression
using only positive exponents.
Answers
The expression is simplified to y⁹/12x². Option A
What are index forms?The index form of a number can be described as that number written as an exponential expression.
It is also seen as a single number that is raised to another number.
Other names for index forms are standard forms and scientific notation.
From the information given, we have that;
3x^⁻⁴y⁵/(2x³y⁻⁷)⁻²
expand the exponential bracket of the denominator by mutiplying the values
3x^⁻⁴y⁵/2x⁶y⁻¹⁴
Now, divide the expression into parts, we have;
3/-4 (x^⁻⁴y⁵/2x⁶y⁻¹⁴)
Since we are finding the quotient, subtract the exponents of the denominator from the numerators, we get;
3× -4(x⁻⁴⁺⁶y⁵⁻¹⁴)
Now, add or subtract the exponential values, we get;
-12(x⁻²y⁻⁹)
y⁹/12x²
Hence, the correct option is y⁹/12x²
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set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 10x − x2, y = x; about x = 12
Answers
The integral for the volume of the solid is:
V = ∫[0,8] 2π(12 - x)(9x - x²) dx.
The method of cylindrical shells can be used to compute an integral for the volume of a solid obtained by rotating the region bounded by the curves y = 10x - x², y = x about the line x = 12.
The rotation axis is x = 12, which is a vertical line that passes through the point (12, 0).
The next step is to determine the integration's limits. At x = 0 and x = 8, the curves y = 10x - x² and y = x intersect. We'll integrate with respect to x, so the integration range will be from x = 0 to x = 8.
We can now apply the formula for the volume of a cylindrical shell:
V = 2πrhΔx
where r denotes the distance from a point on the curve to the axis of rotation, h denotes the height of the shell, and x denotes the thickness of the shell.
We have the following solutions to our problem:
r = 12 - x (the distance between x = 12 and a point on the curve)
h = y2 - y1 = (10x - x²) - x = 9x - x²
Δx = dx
As a result, the integral for the solid's volume is:
dx = V = [0,8] 2(12 - x)(9x - x²).
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Use the distributive property to write an expression that is equivalent to 8(a + 4)
Answers
Using the distributive property we will find the equivalent expression:
8*(a + 4) = 8a + 32
How to use the distributive property?Remember that the distributive property for the multiplication says that:
A*(B + C) = A*B + A*C
So we distributed the product along the addition.
Here we want to rewrite the expression:
8*(a + 4)
Using the distrubitive property, we can rewrite this as:
8*(a + 4) = 8*a + 8*4
= 8a + 32
That is the equivalent expression.
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the probability that a randomly selected box of a certain type of cereal has a particular prize is 0.1. suppose you purchase box after box until you have obtained four of these prizes. (a) what is the probability that you purchase x boxes that do not have the desired prize?
Answers
Probability that you purchase x boxes that do not have the desired prize is \((0.9)^{x}\)
Probability:
Probability is a measure of the likelihood of an event to occur.
For the given question,
Let us assume,
\(P_{1}\) = Probability that a randomly selected box of a certain type of cereal has a particular prize is .1
\(P_{2}\) = Probability that you purchase x boxes that do not have the desired prize
= 1 - \(P_{1}\)
= 1 - 0.1
= 0.9
(a). We have to find probability that you purchase x boxes that do not have the desired prize
= Probability of not getting prize x times
= 0.9 * 0.9 * 0.9 * 0.9 ........... x times
= \((0.9)^{x}\)
Thus,
Probability that you purchase x boxes that do not have the desired prize is \((0.9)^{x}\)
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The mean number of hours worked for the 30 males was 6, and for the 20 females was 9. The overall mean number of hours worked is, A. Cannot be determined. B. 7.2 hours C. 7.5 hours D. 6.5 hours
Answers
Answer:
B
Step-by-step explanation:
The overall mean number of hours worked can be determined by calculating the weighted average of the means for males and females, taking into account the sample size as weights.
Given:
X₁ = 6 (mean number of hours worked for males)
X₂ = 9 (mean number of hours worked for females)
n₁ = 30 (sample size for males)
n₂ = 20 (sample size for females)
The overall mean number of hours worked, denoted as X, can be calculated as follows:
X = (X₁ * n₁ + X₂ * n₂) / (n₁ + n₂)
Plugging in the given values:
X = (6 * 30 + 9 * 20) / (30 + 20)
X = (180 + 180) / 50
X = 360 / 50
X = 7.2
5. For the generic discrete distribution in the table below, determine the following: : (please tound answers to 4 decimal places) (x, p(x)) = (0, 0,022); (1, 0,113); (2, 0,144); (3, 0,273); (4, 0,201); (5, 0,193); (6, 0,054) a. The Mean (m) b. The Variance (s2) c. The Standard Deviation (s)
Answers
Mean (m): 2.978
Variance (s²): 2.389
Standard deviation (s): 1.544
Mean (m):
The mean can be calculated as follows:
Mean = Σ(x * p(x))
where Σ is the summation operator, x is the value of the random variable, and p(x) is the probability of x.
In this case, the mean is calculated as follows:
Mean = (0 * 0.022) + (1 * 0.113) + (2 * 0.144) + (3 * 0.273) + (4 * 0.201) + (5 * 0.193) + (6 * 0.054) = 2.978
Variance (s²):
The variance can be calculated as follows:
Variance = Σ(x² * p(x)) - m²
where Σ is the summation operator, x² is the square of the value of the random variable, p(x) is the probability of x, and m is the mean.
In this case, the variance is calculated as follows:
Variance = (0² * 0.022) + (1² * 0.113) + (2² * 0.144) + (3² * 0.273) + (4² * 0.201) + (5² * 0.193) + (6² * 0.054) - 2.978² = 2.389
Standard deviation (s):
The standard deviation can be calculated as follows:
Standard deviation = √Variance
In this case, the standard deviation is calculated as follows:
Standard deviation = √2.389 = 1.544
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please help me with this thankyou
Answers
The first think you would need to do would simply 144. Which would be 12.
Then you are going to want to multiply-5 by 12.
Which would be 60.
With 12 as a positive number, being greater or to than 60 then will become a positive.
You win 50 tickets, 12 tickets, and 16 tickets at
an arcade. You are able to buy 3 of the same item with 3 tickets left over.
How many tickets does 1 item cost?
Answers
Answer:
25
Step-by-step explanation:
First, we add 50, 12, and 16, which gives us 78. Then, we remove 3 from the answer, giving us 75. Then, divide 75 by 3.
Answer = 25.
(ps: sorry for any spelling mistakes, i dont really type answers alot)
If you are able to buy 3 of the same item with 3 tickets left over. As a result, 1 item cost 26 tickets.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, You win 50 tickets, 12 tickets, and 16 tickets at an arcade. You are able to buy 3 of the same item with 3 tickets left over.
Number of tickets won,
= 50 + 12 + 16
= 78 tickets
Number of items bought = 3 items
Let the cost of 1 item be 'x' tickets.
The cost of 3 items = 3x
By the amount, we can buy 78 tickets as,
3x = 78
x = 26
Thus, if you are able to buy 3 of the same item with 3 tickets left over. As a result, 1 item cost 26 tickets.
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Find the area of Triangle A in square centimeters.
Answers
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
tinyurl.com/wpazsebu
evaluate the expression 13 divided by (2.5 - |-3 1/8|) times 3 to the third power
Answers
Answer: -561.6
Step-by-step explanation:
First, recall PEMDAS (Parenthesis, Exponents, Multiply, Divide, Add, Subtract)
In the equation, we need to work through (2.5 - |-3 1/8|) first.
The absolute value of |-3 1/8| is 3 1/8
We change 3 1/8 to a decimal
3 1/8 = 3.125
Now Subtract (2.5 - 3.125)
This equals -0.625
Next, divide 13 by -0.625
13 ÷ -0.625 = -20.8
Then, multiply -20.8 by 3³
3³ = 27
So -20.8 × 27 = -561.6
A manufacturer of tennis balls has a daily cost of C(x) = 0. 01x2 – 10x + 4000, where x is the number of tennis balls produced. How many tennis balls should be produced to minimize the cost? What is the minimum cost?
Answers
x=500+100sqrt{15}i OR x=500-100sqrt{15}i
Step-by-step explanation:
0.01x^2-10x+4000=0
solve for x using quadratic formula
Answers are imaginary numbers, possibly due to wrong equation in question
How many bars of soap and toothbrushes are in each package
Answers
Answer:
Please explain
Step-by-step explanation:
Answer:3,2
Step-by-step explanation:
I did it
In ANOVA, the independent variable is ______ with 2 or more levels and the dependent variable is _______
a. interval/ratio with 2 or more levels; nominal
b. nominal with 2 or more levels; interval/ratio
c. ordinal with 2 or more levels, nominal
d. interval/ratio, nominal with 2 or more levels
Answers
The correct option is (d) interval/ratio, nominal with 2 or more levels.
In ANOVA (Analysis of Variance), the independent variable is interval/ratio with 2 or more levels, and the dependent variable is nominal with 2 or more levels. Here, ANOVA is a statistical tool that is used to analyze the significant differences between two or more group means.
ANOVA is a statistical test that helps to compare the means of three or more samples by analyzing the variance among them. It is used when there are more than two groups to compare. It is an extension of the t-test, which is used for comparing the means of two groups.
The ANOVA test has three types:One-way ANOVA: Compares the means of one independent variable with a single factor.Two-way ANOVA: Compares the means of two independent variables with more than one factor.Multi-way ANOVA: Compares the means of three or more independent variables with more than one factor.
The ANOVA test is based on the F-test, which measures the ratio of the variation between the group means to the variation within the groups. If the calculated F-value is larger than the critical F-value, then the null hypothesis is rejected, which implies that there are significant differences between the group means.
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Which situation describes a quantity that changes in an exponential manner relative to the other quantity? Select all that
apply.
A. The value of a printer that decreases in value by 15% each year.
B. The amount of money Lou earns on a sale that makes 5% commission.
C. The amount of money Trevor earns it he makes $12.50 per hour at his job.
D. The total value of Tiana's donations, if she gives $25 to a charity every month.
E. The amount of money in Devonte's savings account it he earns 3.5% interest each year.
Answers
Answer:
C and D
Step-by-step explanation:
Hope this Helped! Please tell me if I'm wrong!
The situations that describe a quantity that changes in an exponential manner relative to the other quantity are,
A. The value of a printer decreases in value by 15% each year.
E. The amount of money in Devonte's savings account in it he earns 3.5% interest each year.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
The situations that describe a quantity that changes in an exponential manner relative to the other quantity are,
The value of a printer decreases in value by 15% each year,
It is an exponentially decaying function.
Suppose the first year it decayed to 85% of it's original value, next year it will decay 15% of 85% of its value.
The amount of money in Devonte's savings account it he earns 3.5% interest each year.
Suppose he earned 3.5% for $100, which is 103.5, next year he will earn
3.5% on $103.5, an exponentially growing function.
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7.
Which point on the number line best represents the location of V92?
Q
MN
.
P
ta
8
9
10
A.
Point M
B. Point N
C.
Point P
D. Point Q
Answers
Answer:
C. Point P
Step-by-step explanation:
sqrt(92) = 9.59
The point closest to 9.59 is point P.
Please help me ... I neddddd helpppp.
Answers
Answer:
the pattern is a just not the number at the end, i.d.k what it would be then
Step-by-step explanation:
10. A study of workplace benefits found that 56% of all American workers have a retirement plan, 68% have health insurances, and 49% have both. a) What is the probability that a randomly selected worker has a retirement plan or health insurance
Answers
To find the probability that a randomly selected worker has a retirement plan or health insurance, we need to add the probabilities of having a retirement plan and having health insurance and then subtract the probability of having both,
Since we don't want to count those workers twice. P(retirement plan or health insurance) = P(retirement plan) + P(health insurance) - P(both), P(retirement plan or health insurance) = 0.56 + 0.68 - 0.49, P(retirement plan or health insurance) = 0.75.
Therefore, the probability that a randomly selected worker has a retirement plan or health insurance is 0.75. we'll use the formula: P(A or B) = P(A) + P(B) - P(A and B), where A represents having a retirement plan, B represents having health insurance, and P(A and B) represents having both.
Given:
P(A) = 56% (retirement plan)
P(B) = 68% (health insurance)
P(A and B) = 49% (both)
Now we can plug these values into the formula: P(A or B) = 0.56 + 0.68 - 0.49 = 0.75, The probability that a randomly selected worker has a retirement plan or health insurance is 75%.
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