Shortest
3.09 miles
3.75 miles
3.9 miles
3.5 miles
3.05 miles
Longest
Answers
Answer:
Okie Dokie
Step-by-step explanation:
short to long
3.05 < 3.09 < 3.5 < 3.75 < 3.9
The shortest distance is 3.05 miles, while the Longest is 3.9 miles.
What is the value in ordering number according to their measure?
Ordering numbers according to their measure allows us to arrange them in increasing or decreasing order, providing a systematic way to compare and analyze their magnitudes.
Arranging the given distances from shortest to longest -
3.05 miles
3.09 miles
3.5 miles
3.75 miles
3.9 miles
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Related Questions
reposting again
i will give brainliest to best answer
Answers
Answer:
the answer is c plz trust
Step-by-step explanation:
Starting at noon, the temperature changed steadily at a rate of -0.8°C every hour.
At 3 p.m., the temperature was -2.5 °C.
What was the temperature at noon?
Answers
Answer:
at noon the temperature was -0.1 *C
Step-by-step explanation:
only 93% of the airplane parts salome is examining pass inspection. what is the probability that all of the next five parts pass inspection?
Answers
Since the probability that each airplane part passes inspection is 93%, the probability that all five of the next parts pass inspection is:
(0.93)^5 = 0.696
Use code with caution. Learn more
This is about a 70% chance that all five of the next parts will pass inspection.
However, it is important to note that this is just a probability. It is possible that all five parts will pass inspection, but it is also possible that none of them will pass inspection
Which of the following could be used to estimate 75 -32?
A. 80 - 30
B. 70 - 30
C. 80-40
D. 70 - 40
Answers
Answer:
b
Step-by-step explanation:
the answer when not rounded is 43.
The differential equation of a control system is given below.
d² f(t)/dt + 5 df (t)/dt +4ƒ(t) = e¯2x u(t)
A) Find the transfer function T(s) = F(s) / U(s)
of the system.
B) By showing the poles of the system in the complex S-plane, explain whether the system is stable
or not.
Answers
The system is stable as the real part of both poles is negative.
A) The transfer function of the system is \(T(s) = F(s) / U(s) = 1/(s²+5s+4).\)
B) The poles of the transfer function T(s) are given by s = -4 and s = -1. Both of these poles have negative real parts, which means that the system is stable.
Given differential equation is \(:d² f(t)/dt² + 5 df(t)/dt +4ƒ(t) = e¯2x u(t).\)
We have to find the transfer function T(s) and by showing the poles of the system in the complex S-plane, explain whether the system is stable or not.
Let's start: A) Find the transfer function T(s) = F(s) / U(s) of the system.
The transfer function T(s) is defined as the ratio of output F(s) to input U(s) taking Laplace transform of the given differential equation we get:
\($$\frac{d^2F(s)}{dt^2}+5\frac{dF(s)}{dt}+4.\)
\(F(s)=e^{-2s}U(s)$$$$s^2\)
\(F(s)-sf(0)-f'(0)+5sF(s)-f(0)+4\)
\(F(s)=\frac{1}{s+2}$$$$s^2\)
\(F(s)+5sF(s)+4F(s)=\frac{1}{s+2}+f(0)(s+5)+f'(0)(s+1) $$$$(s^2+5s+4)\)
\(F(s)=\frac{1}{s+2}+f(0)(s+5)+f'(0)(s+1)$$$$\)
\(T(s)=\frac{F(s)}{U(s)}=\frac{1}{s^2+5s+4}$$B)\)
By showing the poles of the system in the complex S-plane, explain whether the system is stable or not.
The poles of the transfer function T(s) are the roots of the denominator polynomial s²+5s+4.Hence poles are given by
\(s = [-5 ± √(5²-4.4.1)] / 2s = [-5 ± √(9)] / 2s = -4 or -1\)
Hence the system is stable as the real part of both poles is negative.
A) The transfer function of the system is \(T(s) = F(s) / U(s) = 1/(s²+5s+4).\)
B) The poles of the transfer function T(s) are given by s = -4 and s = -1. Both of these poles have negative real parts, which means that the system is stable.
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The radius of the earth is approximately 6400 km. The equator is the circle around the earth dividing it into the northern and southern hemisphere. (The center of the earth is also the center of the equator.) What is the length of the equator? (numerical answer only; no units)
Answers
The length of the equator is 40192 km.
How to find the length of the equator?The radius of the earth is approximately 6400 km. The equator is the circle around the earth dividing it into the northern and southern hemisphere.
Let's find the length of the equator as follows:
The length of the equator is the circumference.
Therefore,
L = 2πr
where
r = radiusL = 2 × 3.14 × 6400
L = 6.28 × 6400
L = 40192 km
Therefore, the equator which is the circle around the earth has a length of 40192 km.
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the graph represents the piecewise function.
f(x)={ BLANK, if -3≤x<-1
BLANK, if -1 ≤x≤1
Answers
Answer:
f(x) = {x + 3 if -3 < x < -1
= {5 if -1 < x < 1
What is the measure of angle R, given the largest triangle is a right triangle?
33°
12°
45°
78°
Answers
Noote that the measure of angle R is 27°. Here is how we got that.
What is the computation for the above?Since the largest triangle is right triangle, the vertical segment is the perpendicular bisector of right angle with vertex at the center of circle.
Then we have
m∠R + 18° = 90°/2
m∠R + 18° = 45°
m∠R = 45° - 18°
m∠R = 27°
Note that the angle on the top of the triangle is right angle, 90 deg. Its altitude is the vertical segment, which is also angle bisector. It bisects the right angle and each formed angle measures 90/2 = 45°
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Full Question:
Although part of your question is missing, you might be referring to this full question:
See the attached iamge.
Prove each statement by contrapositive a) For every...
Prove each statement by contrapositive
a) For every integer n, if n^3 is even, then n is even.
b) For every integer n, if n^2−2n+7 is even, then n is odd.
c) For every integer n, if n^2 is not divisible by 4, then n is odd.
d) For every pair of integers x and y, if xy is even, then x is even or y is even.
Answers
a) For every integer n, if n^3 is even, then n is even.
b) For every integer n, if n^2−2n+7 is even, then n is odd.
c) For every integer n, if n^2 is not divisible by 4, then n is odd.
d) For every pair of integers x and y, if xy is even, then x is even or y is even.
To prove each statement by contrapositive, we will negate the original statement and prove the negation. If the negation of the statement is true, then the original statement is also true.
a) Original statement: For every integer n, if n^3 is even, then n is even.
Contrapositive statement: For every integer n, if n is not even, then n^3 is not even.
To prove the contrapositive, we need to show that if n is not even, then n^3 is not even.
If n is not even, then it must be odd. Let's assume n = 2k + 1, where k is an integer.
Substituting this value of n into n^3, we get:
n^3 = (2k + 1)^3 = 8k^3 + 12k^2 + 6k + 1
We can see that n^3 is of the form 8k^3 + 12k^2 + 6k + 1, which is an odd number. Therefore, the contrapositive statement is true, and by contrapositive, the original statement is also true.
b) Original statement: For every integer n, if n^2−2n+7 is even, then n is odd.
Contrapositive statement: For every integer n, if n is even, then n^2−2n+7 is not even.
To prove the contrapositive, we need to show that if n is even, then n^2−2n+7 is not even.
If n is even, then it can be written as n = 2k, where k is an integer.
Substituting this value of n into n^2−2n+7, we get:
n^2−2n+7 = (2k)^2−2(2k)+7 = 4k^2−4k+7
We can see that n^2−2n+7 is of the form 4k^2−4k+7, which is an odd number. Therefore, the contrapositive statement is true, and by contrapositive, the original statement is also true.
c) Original statement: For every integer n, if n^2 is not divisible by 4, then n is odd.
Contrapositive statement: For every integer n, if n is even, then n^2 is divisible by 4.
To prove the contrapositive, we need to show that if n is even, then n^2 is divisible by 4.
If n is even, then it can be written as n = 2k, where k is an integer.
Substituting this value of n into n^2, we get:
n^2 = (2k)^2 = 4k^2
We can see that n^2 is of the form 4k^2, which is divisible by 4. Therefore, the contrapositive statement is true, and by contrapositive, the original statement is also true.
d) Original statement: For every pair of integers x and y, if xy is even, then x is even or y is even.
Contrapositive statement: For every pair of integers x and y, if x is odd and y is odd, then xy is not even.
To prove the contrapositive, we need to show that if x is odd and y is odd, then xy is not even.
If x is odd, then it can be written as x = 2k + 1, where k is an integer.
If y is odd, then it can be written as y = 2m + 1, where m is an integer.
Substituting these values of x and y into xy, we get:
xy = (2k + 1)(2m + 1) = 4km + 2k + 2m + 1
We can see that xy is of the form 4km + 2k + 2m + 1, which is an odd number. Therefore, the contrapositive statement is true, and by contrapositive, the original statement is also true.
In summary, we have proven each statement by its contrapositive. The original statements are as follows:
a) For every integer n, if n^3 is even, then n is even.
b) For every integer n, if n^2−2n+7 is even, then n is odd.
c) For every integer n, if n^2 is not divisible by 4, then n is odd.
d) For every pair of integers x and y, if xy is even, then x is even or y is even.
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the t value is used for many tests instead of the z value because: a. it is easier to calculate and interpret. b. it is more widely known among statisticians. c. assumptions of the z value are violated if the sample size is 30 or less. d. it is available on statistical software packages.
Answers
The t-value is often used instead of the z-value in statistical tests because the assumptions of the z-value are violated when the sample size is 30 or less.
The t-value is preferred over the z-value in certain scenarios due to the violation of assumptions associated with the z-value when the sample size is small (30 or less). The z-value assumes that the population standard deviation is known, which is often not the case in practice. In situations where the population standard deviation is unknown, the t-value is used because it relies on the sample standard deviation instead. By using the t-value, we account for the uncertainty associated with estimating the population standard deviation from the sample.
Additionally, the t-value is easier to calculate and interpret compared to the z-value. The t-distribution has a wider range of degrees of freedom, allowing for more flexibility in analyzing data. Moreover, the t-value is more widely known among statisticians and is readily available in statistical software packages, making it a convenient choice for conducting hypothesis tests and confidence intervals.
Overall, the t-value is preferred over the z-value when the assumptions of the z-value are violated or when the population standard deviation is unknown.
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PLEASE HELP ME I NEED THIS DONE AS SOON AS POSIBLE
a. Liam wants to know how the function would need to change to reflect the amount of money the business will take in. Use this function to model a function for gross sales. (Gross sales are the total amount of money the flowers sell for.)
Type your response here:
b. Liam knows that his cost (c) in terms of the units of mums sold (x) can be modeled by the function Replace the variable x in this function with the function that gives the number of units sold (x) in terms of price p. What does this turn the function c into?
Type your response here:
c. Liam wants to calculate the profit his shop would earn from the sale of mums. He knows that it can be done by deducting the costs from the money that the store makes selling mums. Now that he has the functions for the cost and gross sales, can he subtract the function for cost from the function representing the gross sales to arrive at a function for profit? Why?
Type your response here:
d. Find the store’s profit function for selling mums by subtracting the function for cost from the function for gross sales. Consider pr(p) as the profit function.
Type your response here:
e. Is the profit function linear or quadratic?
Type your response here:
f. Liam wants to use the profit function to determine the range of prices at which he can sell mums and make a profit. How can he determine the price range?
Type your response here:
g. Use the quadratic formula to find the factors of the profit function you wrote.
Type your response here:
h. Using the factors you found in part g, find the zeros of the quadratic profit function.
Type your response here:
i. Liam needs to find the range of prices at which he can sell mums and make a profit. Based on the equation, what are the points between which he will earn a profit on his mums?
Type your response here:
j. Liam wants to determine the most profitable price point for the mums. Use the completing the square technique to find this price.
Type your response here:
k. Liam is interested in determining the maximum profit possible for the mums. Find the maximum profit corresponding to the most profitable price point.
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Task 2: A Boat Ride
Jake went on a riverboat tour. After returning from the tour, he was curious to know the speed at which the boat was going. During the tour, he was told that he would travel 10 miles upstream and then 10 miles downstream. He also knows that the river was flowing at a rate of 3 miles/hour and that the tour took about three hours.
The boat moved at a constant speed for the whole journey, although its actual speed varied with the current.
a. Jake wants to know the boat’s actual speed going upstream and actual speed coming downstream. If the boat was moving at a constant speed of x miles per hour, determine the boat’s relative speed in each direction.
Type your response here:
b. Was the time it took the boat to go upstream the same as the time it took to come downstream?
Type your response here:
c. Jake first reasoned that because the boat ride took 3 hours, it must have taken 1.5 hours to go upstream and 1.5 hours to go downstream. Thinking about it further, however, he realized that the ride upstream had to take longer than the trip downstream. What is the reason it took longer to travel one direction than the other?
Type your response here:
d. The time it took the boat to go upstream is U, and the time it took to come downstream is D. What is U + D?
Type your response here:
e. Jake knows that the relationship between distance (d), velocity (v), and time taken (t) is given by d = vt. Rewrite this equation for t.
Type your response here:
f. Using the equation you rewrote in part e, write an equation for the time taken for the upstream trip.
Type your response here:
g. Now construct an equation for the time taken for the downstream trip.
Type your response here:
h. Jake already has the equation U + D = 3, which represents the total time taken for the whole journey. Now that he has individual equations for U and D, he needs to combine these three equations to get a single equation. Construct a combined equation for U + D in terms of x, the constant speed at which the boat was going.
Type your response here:
i. Jake now has an equation with x as the only unknown variable. He needs to solve for x. Transform the equation you found in part h into a quadratic equation, and find the value of x, the constant speed at which the boat traveled.
Type your response here:
Answers
Answer::b.
Step-by-step explanation:
A dressmaker needs to cut 4-inch pieces of ribbon from rolls of ribbon that are 12 feet in length. How many 4-inch pieces can the dressmaker cut from 5 of these rolls of ribbon?
Before you try that problem, answer the question below.
How many inches of ribbon does the dressmaker have, in total?
Answers
Answer:
15 pieces
Step-by-step explanation:
First, 4 goes into twelve 3 times. since it goes in three times, and you have 5 rolls, you would just multiply the two together.
3*5 = 15 pieces
Question #1
First we have to convert feet to inches.
Knowing that 1 foot is 12 inches we just need to multiply our values by 12.
Meaning that 12 feet of a roll of ribbon is basically 144 inches.
That isn't our final answer because he has 5 rolls so we multiply our answer by 5.
12×12 = 144 ← how many inches are in a single roll
144×5 = 720 So in total there are 720 inches in total.
Question #2
Now that we answered one of the questions we can use this information to answer the other question asking us how many 4 inch pieces can he make from the 5 rolls.
As mentioned above we know the 5 rolls are equivalent to 720 inches..
So we will take that number and divide it by 4.
720÷4 = 180
Meaning that 180 4-inch pieces can be made.
Statement
Therefore the dressmaker has 720 inches of ribbon and with that is able to make 180 4 inch pieces from it.
I need some help with this is that possible
Answers
Answer:
x(-5,0) ,y(0,5)
Step-by-step explanation:
Answer:
The slope is - 5,0
Step-by-step explanation:
U just draw a line from where the - 5 cut the line n from there to zero too
Cherries are $2.00/ pound what is the constant of proportionality
Answers
Answer:
$2 price per pound
2 is the constant of proportionality
Step-by-step explanation:
Price of Cherries = $2 per pound
what is the constant of proportionality
If y = total cost of buying x pounds of Cherries at $2 per pound
The equation below represent the situation
y = $2 * x
y = 2x
The constant of proportionality is 2
That is, the $2 price per pound
Two 22-cm-focal-length converging lenses are placed 16.5?cm apart. An object is placed 35.0?cm in front of one lens.
part a) Where will the final image formed by the second lens be located? Determine the image distance from the second lens. Follow the sign conventions. (answer in three significant figure)?
part b)What is the total magnification? Follow the sign conventions.(answer in three significant figure)?
Answers
Part a) The final image formed by the second lens will be located on the opposite side of the lens as the object.
To determine the image distance from the second lens, we can use the lens formula:
1/f = 1/v - 1/u,
where f is the focal length of the lens, v is the image distance, and u is the object distance. Given that the object distance is 35.0 cm and the focal length of the lens is 22.0 cm, we can substitute these values into the lens formula to solve for v. The lens formula can be rearranged to:
v = 1/(1/f + 1/u).
Substituting the values, we have:
v = 1/(1/22 + 1/35) = 1/(0.0455 + 0.0286) ≈ 1/0.0741 ≈ 13.5 cm.
Therefore, the image distance from the second lens is approximately 13.5 cm.
Part b) The total magnification of the system is given by the product of the individual magnifications of each lens. The magnification of a lens can be calculated using the formula:
magnification = -v/u,
where v is the image distance and u is the object distance. For the first lens, the object distance is 35.0 cm and the image distance is the distance between the lenses, which is 16.5 cm. Therefore, the magnification of the first lens is:
magnification_1 = -16.5/35.0.
For the second lens, the object distance is the distance between the lenses, which is 16.5 cm, and the image distance is 13.5 cm (as calculated in part a). Therefore, the magnification of the second lens is:
magnification_2 = -13.5/16.5.
The total magnification is the product of these two magnifications:
total magnification = magnification_1 * magnification_2.
Substituting the values, we have:
total magnification = (-16.5/35.0) * (-13.5/16.5) ≈ 0.706.
Therefore, the total magnification is approximately 0.706.
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Find the number. Round to the nearest tenth if necessary.
What percent of 65 is 13?
Answers
Answer:
Step-by-step explanation:
for these type of problems:
65/100=0.65 this represents 1%
13/0.65=20
20% of 65 is 13
Which shows one way to determine the factors of the expression by grouping?
x3−8x2+3x−24
Group of answer choices
(x+3)(x−8)
(x2+4)(x−6)
(x2+3)(x+8)
(x2+3)(x−8)
Answers
Answer:
(x^2+3)(x+8)
3×8
=24
.........
The copy center has a job order that requires 500 pages of white paper and 200 pages of pink paper. The copying rate is 25 pages per minute, the overall setup time is 5 minutes, and the color change time is 2 minutes. Suppose the copy center only did jobs exactly like this one (500 white, 200 pink). What would the cycle time be
Answers
If the copy center only did jobs exactly like this one (500 white, 200 pink). The cycle time will be 35 minutes.
Using this formula
Cycle time=Setup time+ Copying time+ Change time
Let plug in the formula
Cycle time=5 minutes+(500 pages+200 pages÷25 pages per minutes)+2 minutes
Cycle time=5 minutes+(700 pages÷25 pages per minutes)+ 2 minutes
Cycle time=5 minutes+28 minutes+2 minutes
Cycle time=35 minutes
Inconclusion if the copy center only did jobs exactly like this one (500 white, 200 pink). The cycle time will be 35 minutes.
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1. Suzette ran and biked for a total of 80 miles in 9 hours. Her average running speed was 5 miles per hour (mph) and her average biking speed was 12 mph. Let x = total hours Suzette ran. Let y = total hours Suzette biked. Use substitution to solve for x and y. Show your work. Check your solution. (a) How many hours did Suzette run? (b) How many hours did she bike?
Answers
Answer:
a) Suzette ran for 4 hours
b) Suzette biked for 5 hours
Step-by-step explanation:
Speed is rate of distance traveled, it is the ratio of distance traveled to time taken. It is given by:
Speed = distance / time
The total distance ran and biked by Suzette (d) = 80 miles, while the total time ran and biked by Suzette (t) = 9 hours.
For running:
Her speed was 5 miles per hour, let the total hours Suzette ran be x and the total distance she ran be p, hence since Speed = distance / time, therefore:
5 = p / x
p = 5x
For biking:
Her speed was 12 miles per hour, let the total hours Suzette ran be y and the total distance she ran be q, hence since Speed = distance / time, therefore:
12 = q / y
q = 12y
The total distance ran and biked by Suzette (d) = Distance biked + distance ran
d = p + q
80 = p + q
80 = 5x + 12y (1)
The total time taken to run and bike by Suzette (t) = time spent to bike + time spent to run
t = x + y
9 = x + y (2)
Solving equation 1 and equation 2, multiply equation 2 by 5 and subtract from equation 1:
7y = 35
y = 35/7
y = 5 hours
Put y = 5 in equation 2:
9 = x + 5
x = 9 -5
x = 4 hours
a) Suzette ran for 4 hours
b) Suzette biked for 5 hours
Theorem: For any two real numbers, x and y, if x and y are both rational then x + y is also rational. Which facts are assumed and which facts are proven in a proof by contrapositive of the theorem?
Answers
The contrapositive of the theorem: "for any two real numbers, x and y, if x and y are both rational then x + y is also rational" is given by this:
If x + y is irrational then x is irrational or y is irrational.
What do we mean by contrapositive of a statement?
If we have two statements p and q, such that p ⇒ q, then the contrapositive of this relation is q' ⇒ p', that is negative of q implies a negative of p.
How do we solve the given question?Let our statements be,
p: x and y are both irrational
∴ p': x is irrational or y is irrational
q: x + y is irrational.
∴ q': x + y is irrational.
The given theorem is the relation, p ⇒ q.
We are asked to find the contrapositive of this theorem. The contrapositive of the relation is, q' ⇒ p'.
This relational statement is:
If x + y is irrational then x is irrational or y is irrational.
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the standard deviation of f$ ar{x},f$ is usually called the
Answers
The standard deviation of f$ ar{x},f$ is usually called the "sample standard deviation".
This is a commonly used statistical measure that represents the amount of variation or dispersion within a set of data. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean.
The sample standard deviation is often used to compare the variability of different sets of data and to determine the significance of differences between them. Financial contracts known as derivatives are those entered into by two or more parties and whose value is derived from an underlying asset,
collection of assets, or benchmark. A derivative may be traded over-the-counter or on an exchange. Derivative prices are based on changes in the underlying asset.
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A cohort study of smoking and lung cancer was conducted in a small island population. There were a total of 1,000 people in the study, and the study was conducted over a ten year period. Four hundred were smokers and 600 were not. Of the smokers, fifty developed lung cancer. Of the non-smokers, 10 developed lung cancer. In order to measure the strength of association between smoking and lung cancer in this population, which measure of exposure-disease association would you use
Answers
Answer:
A measure of exposure-disease association one could use is the odds ratio (OR)
Step-by-step explanation:
An Odds ratio (OR) is a statistical measure quantifying the level of association between two events such as an exposure and an outcome
The odds ratio gives the probability of outcome where there is a given amount of exposure
We have the table;
\(\begin{array}{ccc}&Developed \ lung \ cancer& Did \ not \ develop \ lung \ cancer\\Smokers&50&350\\Non-smokers&10&590\end{array}\)
The odds ratio = (The number of smokers with the lung-cancer)/(The number of non-smokers with lung-cancer) ÷ (The number of smokers smokers without long cancer).(The number of non-smokers without long cancer)
∴ OR = (50/10) ÷ (350/590) = 59/7 = 8.\(\overline{428571}\) ≈ 8.4
Therefore, a smoker is approximately 8.4 times more likely to develop lung cancer than a non-smoker.
Which linear equation shows a proportional relationship? a. y equals two thirds times x
b. y equals negative 3 times x minus one seventh c. y equals three fourths times x minus 5 d. y equals 3 times x plus 7
Answers
Answer:
Option a represents a proportional relationship.
Step-by-step explanation:
A proportional relationship is a relationship where two variables are directly related to one another, meaning that their ratio is always the same. In other words, when one variable changes, the other variable also changes in the same ratio.
In the equation y = 2/3 * x, the value of y is directly proportional to the value of x, meaning that for every change in x, the corresponding change in y will always be 2/3 of that change. This is because the coefficient of x is a constant value, in this case 2/3. Therefore, as x increases or decreases, y will also increase or decrease at the same rate in proportion to x.
Option a represents a direct proportion.
Option b, c, and d are not proportional relationships because they include a constant or an operation like subtraction, addition or negative sign.
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12 of the students in the school choir like to sing solos. These 12 students make up 24 percent of the school choir. How many students are in the choir?
Answers
Step-by-step explanation:
Let the total number of students in the choir be x
24℅ of x = 12
24/100 of x = 12
6x/25 = 12
6x = 12× 25
6x = 300
x = 50
A diver begins rising toward the surface from 180 feet below sea level. A few
minutes later, the diver is 40 feet below sea level. How many feet did the diver rise in
those few minutes?
Answers
Answer:
140
Explanation: cause -180 + 40 = -140 (but absolute value is 140)
write the formula for the conjugate base for each of the following weak acids. (a) hc2h3o2
Answers
The conjugate base of the weak acid hc2h3o2 (acetic acid) can be determined by removing a proton (H+) from the acid molecule. The formula for the conjugate base is C2H3O2- (acetate ion).
The formula for acetic acid (hc2h3o2) suggests that it consists of the elements hydrogen (H), carbon (C), and oxygen (O). To determine the formula of its conjugate base, we remove a proton (H+) from the acid molecule. Removing a proton results in the formation of an anion, which has a negative charge to maintain overall charge neutrality.
The removal of a proton from hc2h3o2 leads to the formation of the acetate ion, which has a formula of C2H3O2-. The C2H3O2- ion is referred to as the conjugate base of acetic acid.
In summary, the formula for the conjugate base of the weak acid hc2h3o2 (acetic acid) is C2H3O2- (acetate ion).
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2. The perimeter of a rectangular park is 640 yards. The length of the rectangle is 40 yards less than twice the width. What are the dimensions of the park?
Answers
The dimensions of the park are obtained as 180 yards and 140yards respectively.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
Suppose the width of the rectangle be x yards.
Then, its length is given as x - 40 yards.
Since, the perimeter of a rectangle is given as 2(l + b).
Substitute the corresponding values to get the equation as follows,
640 = 2(x - 40 + x)
=> 640 = 2(2x - 40)
=> 2x - 40 = 640/2
=> 2x - 40 = 320
=> x = 360/2 = 180
Then, the length is given as 180 - 40 = 140 yards.
Hence, the dimensions of the park are obtained as 180 yards and 140 yards respectively.
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Find an equation for the line that passes through the points (-6,6)and (4,6).
Answers
To find the equation of the line, we will use the formula below;
\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)x₁=-6 y₁=6 x₂=4 y₂=6
substitute the values into the formula
\(y\text{ - 6 =}\frac{6-6}{4+6}(x\text{ + 6)}\)\(y-6=\frac{0}{10}(x+6_{})\)
y - 6 = 0
y = 6
The Excel function =40*RAND() would generate random numbers with standard deviation approximately equal to____.
Answers
The Excel function =40*RAND() generates random numbers between 0 and 40.
Since the RAND() function in Excel produces random numbers uniformly distributed between 0 and 1, multiplying it by 40 scales the range to 0 to 40.
The standard deviation of a uniform distribution with range a to b is given by (b - a) / sqrt(12). In this case, a = 0 and b = 40.which simplifies to approximately 11.55.
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What is the difference, in meters, between the length of the longest line and the length of the shortest line?
Answers
Answer:
\(Range = 3.169m\)
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the difference between the shortest and the longest
This question implies that we calculate the range.
\(Range = Longest - Shortest\)
From the table, we have:
\(Longest = 8.7m\)
\(Shortest = 5.531m\)
So, we have:
\(Range = 8.7m- 5.531m\)
\(Range = 3.169m\)
