Answer: To find the circumference of the circle, we need to use the formula:
Circumference = 2πr
where r is the radius of the circle, and π is a mathematical constant that approximates to 3.14.
We can find the radius of the circle from its area:
Area = πr^2
73 = πr^2
r^2 = 73/π
r = √(73/π)
r ≈ 4.30 ft
Now we can substitute the value of r in the formula for the circumference:
Circumference = 2πr
Circumference = 2π(4.30)
Circumference ≈ 27.01 ft
Therefore, the circumference of the circle is approximately 27.01 ft.
Step-by-step explanation:
Partial Derivatives Now the functions are multivariable: they depend on the values of more than one variable. Take the derivative of each of the following functions with respect to x, leaving the value of y constant. Then take the derivative of each of the functions with respect to y, leaving the value of x constant. 1. f(x, y) = -4xy + 2x 2. f(x, y) = 5x²y + 3y² + 2 3. f(x,y) = \frac{2x²}{x²}. 4. f(x, y) = \frac{0,5y}{y} 5. f(x,y) = \frac{in (2x)}{y}
These are the partial derivatives of the given functions with respect to x and y.
find the partial derivatives of each of the given functions with respect to x and y, while treating the other variable as a constant:
1. f(x, y) = -4xy + 2x
Partial derivative with respect to x: ∂f/∂x = -4y + 2
Partial derivative with respect to y:
∂f/∂y = -4x
2. f(x, y) = 5x²y + 3y² + 2
Partial derivative with respect to x:
∂f/∂x = 10xy
Partial derivative with respect to y:
∂f/∂y = 5x² + 6y
3. f(x, y) = (2x²)/(x²)
Partial derivative with respect to x:
∂f/∂x = 2
Partial derivative with respect to y:
∂f/∂y = 0 (Since y is not involved in the expression)
4. f(x, y) = (0.5y)/(y)
Partial derivative with respect to x:
∂f/∂x = 0 (Since x is not involved in the expression)
Partial derivative with respect to y:
∂f/∂y = 0.5(1/y) = 0.5/y
5. f(x, y) = ln(2x)/y
Partial derivative with respect to x:
∂f/∂x = (1/(2x))/y = 1/(2xy)
Partial derivative with respect to y:
∂f/∂y = -ln(2x)/(y²)
To know more about derivatives visit:
brainly.com/question/25324584
#SPJ11
PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
Option A) A = 100(1.005)^12t
Step-by-step explanation:
The formula for Total Amount obtained using compound interest is given as:
A = P( 1 + r/n) ^nt
Where
A = Total amount received or obtained after investing
P = Principal or Initial Amount invested
r = interest rate
n = rate or number of times the interest is compounded
t = time in years.
In the question we obtained this values
P = $100
r = 6% = 0.06
n = compounded monthly, we have 12 months in a year, hence, n = 12
t = t
Using the compound interest formula for Amount A,
A = P( 1 + r/n) ^nt
A = 100(1 + 0.06/12)^12 × t
A = 100(1 + 0.005)^12t
A = 100(1.005)^12t
Therefore, the value of Mari's Investment if the interest is compounded monthly is
A = 100(1.005)^12t
Hence, Option A is correct.
After a 15% reduction, the sale price of a car is £13175. What was the
original price of the car?
Answer:
The original price of the car was 11198.75
Step-by-step explanation:
Hope it helps!
the area of the circle is 12.56 yd^2. what is the radius of the circle
Hi!
The formula for radius of a circle is \(\sqrt{\frac{a}{\pi } }\)
For this, we will use 3.14 as pi.
12.56 / 3.14 = 4
Now take the square root and we get
2
Hope this helps! :D
which expressions is equivalent ?
What these expressions have in common is that their exponents multiply to 16
(-4)*(-4) = 16 for choice C(-2)*(-8) = 16 for choice D8*2 = 16 for choice FThe rule used here is (a^b)^c = a^(b*c). We multiply the exponents and keep the base the same.
Where is point K(-100, 100)
located?
The answer is here:
x= -100
y= 100
Hope This Helps! Have A GREATTT Day!
Answer:
x= -100
y= 100
Step-by-step explanation:
3x-5y-7=0
X=2k-1.
Y=k
Answer:
x = 19
y = 10
Step-by-step explanation:
3x - 5y - 7 = 0
x = 2k - 1
y = k
3x - 5y = 7
x = 2y - 1
3 * (2y - 1) - 5y = 7
6y - 3 - 5y = 7
6y - 5y = 10
y = 10
x = 2 * 10 - 1
x = 19
Are the triangles shown congruent?
Explain.
O Yes, by SSS
O Yes, by SAS
O Yes, by CPCTC
O No, there isn't enough information to prove that they are congruent
Answer:
the second one i think
Step-by-step explanation:
because both have 2 sides with 1 angle
If one point is located at (-6, 2) and another point is
located at (6, -3), what is the distance between the
two points?
Answer:
ok
(6, -3) - ( -6, 2)
3- 2 = 1
6 - ( - 6 ) = 6 = 6,1
how many bits per word are needed to represent the decimal integers 0 through 100?
We only need to use 7 bits to represent all the decimal integers from 0 to 100.
A computer uses bits as the fundamental unit of data. Bits are represented as a binary digit of either 0 or 1, and are the basic building blocks of digital communication and data processing.
The binary number system has only two digits, 0 and 1, making it easy to represent all kinds of data, including text, images, videos, and audio files. There are many benefits of using binary numbers to represent data, including their simplicity, speed, and reliability.
Each decimal integer from 0 to 100 can be represented in binary form. The minimum number of bits required to represent a decimal number depends on the maximum number of bits required to represent it in binary form.
The binary number system is a base-2 system, which means that there are only two possible digits, 0 and 1, that can be used to represent any number.
Therefore, to represent decimal integers from 0 to 100, a minimum of 7 bits per word are required, since 100 in binary form is 1100100, which requires 7 bits. However, since 2^7 = 128, which is greater than 100.
Know more about the binary form
https://brainly.com/question/31436551
#SPJ11
Hugo is serving fruit sorbet at his party. he has 1 gallon of fruit sorbet to serve to 32 friends. if each person receives the same amount, how many cups of fruit sorbet will each person get? 14 cup 12 cup 34 cup 1 cup
If each person receives the same amount, each person at Hugo's party will get 0.5 cups, or 1/2 cup, of fruit sorbet.
To determine how many cups of fruit sorbet each person will get, we need to convert the volume of the sorbet from gallons to cups, and then divide by the number of people who will be served.
Since 1 gallon is equal to 16 cups, we can multiply the number of gallons by 16 to get the total number of cups of sorbet. In this case, 1 gallon x 16 cups/gallon = 16 cups of fruit sorbet.
To find out how many cups of sorbet each person will get, we simply divide the total number of cups by the number of people. In this case, 16 cups ÷ 32 people = 0.5 cups/person.
To learn more about quantity click on,
https://brainly.com/question/14287531
#SPJ4
find \(cos^{-1}(3pi/4)\)
Step-by-step explanation:
Using the unit circle, the answer is
135 degrees
as one step in the statistical analysis of the effectiveness of the chw intervention, researchers examined differences in postnatal care use for mothers in 10 different regions. how could the researchers have increased the power of their analysis?
The researchers have increased the power of their analysis by increasing the sample size.
The number of subjects involved in a sample size is referred to as the sample size in market research.
Examine 15 randomly selected groups of subjects.
There are five main ways to increase the power of an experiment or study: increase the alpha level, decrease random error, conduct a one-tailed test, expand the sample size, or increase the effect size. Of these, only the first option, which increases the sample size, will increase power.
Thus, the researchers have increased the power of their analysis by increasing the sample size.
Complete question: As one step in the statistical analysis of the effectiveness of CHW intervention, researchers calculated the average percentage of postnatal care use found in 10 randomly selected groups of 50 mothers. How could the researchers have increased the power of their analysis?
To know more about sample size visit: brainly.com/question/25894237
#SPJ4
Someone pls help me I will make you brain
Which of the following does not represent a function?
Answer:
i think it's C sorry if it's wrong
Step-by-step explanation:
i took the test and got it right so
Answer:
The third option
Step-by-step explanation:
1. To determine whether a relation is a function given a graph, use the
following criterion:
if every vertical line you can draw goes though only 1 point, then the relation is a function If you can draw a vertical line that goes though 2 or more points, y is not a function of x. This is called the vertical line test.2. As you can see, if you draw a vertical line at a specific place in the third graph, it will go through 2 or more points.
Therefore, the correct answer is the third option/graph.
Advertisements for the train claim it is on time 90% of the time. The bus has a record of being on time 56 out of 64 days. Which form of transportation provides more reliable service???
Answer:
The train is more reliable.
Step-by-step explanation:
The train is more reliable. The bus is on-time 87.5% of the time, while the train is on-time 90% of the time.
What is the mean absolute deviation for Doctor A’s data set on glasses? What is the mean absolute deviation for Doctor B’s data set on glasses? Write a sentence comparing the variation of the two data sets using their mean absolute deviations.
There is more variability on glasses of doctor B's dataset than the glasses of doctor B's dataset
Doctor A’s mean absolute deviation on glassesThe dataset for this is given as:
643 634 670 658 636 624 641 655 649 629
Using a statistical calculator, we have:
Size = 10Mean (μ) = 643.9Mean Absolute Deviation (MAD) = 11.28Hence, the mean absolute deviation for Doctor A’s data set on glasses is 11.28
Doctor B’s mean absolute deviation on glassesThe dataset for this is given as:
651 625 622 624 631 621 653 647 646 646
Using a statistical calculator, we have:
Size = 10Mean (μ) = 636.6Mean Absolute Deviation (MAD) = 12Hence, the mean absolute deviation for Doctor B’s data set on glasses is 12
The variation of the two data sets using their mean absolute deviations.In a dataset, the larger the mean absolute deviations value, the larger the variation.
By comparison, 12 is greater than 11.28
Hence, there is more variability on glasses of doctor B's dataset than the glasses of doctor B's dataset
Read more about mean absolute deviation at:
https://brainly.com/question/3250070
#SPJ1
Why is it important that algorithms be executed in a reasonable time?
Algorithms should be executed in a reasonable time because when an algorithm takes too long to execute, the user may lose interest, and it may not be useful for real-time applications.
As a result, the algorithm's performance should be as good as possible so that the user does not have to wait a long time to get the answer. Additionally, as the number of data sets grows, an algorithm's execution time grows exponentially, making it more difficult to process more significant data sets.
The goal of an algorithm is to accomplish a specific task. When an algorithm can perform a task quickly and efficiently, it is considered successful. The performance of an algorithm can be measured in terms of its execution time, also known as runtime. The runtime is the time it takes for an algorithm to complete its task from start to finish.
A reasonable time for an algorithm is critical since it decides the algorithm's effectiveness in achieving its goal. In general, algorithms must be effective and accurate, but they must also be quick and efficient. If an algorithm does not execute efficiently, it may be useless to the user because it may not be able to process large data sets quickly or in real time.
Algorithms must be executed in a reasonable time to ensure the algorithm's effectiveness and user satisfaction.
To know more about the "Algorithms": https://brainly.com/question/13800096
#SPJ11
Help me pleaseeeeeeee
There are 37 numbers from 1 to 37, inclusive.
The probability of choosing a number that is a multiple of 3 is approximately 0.324 or 32.4%.
How to find and what is probability?
To count the number of multiples of 3, we can first find the smallest multiple of 3 that is greater than or equal to 1, which is 3.
Then we can find the largest multiple of 3 that is less than or equal to 37, which is 36. We can then count the multiples of 3 by counting in increments of 3 from 3 to 36: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36. There are 12 such numbers.
Therefore, the probability of choosing a number that is a multiple of 3 is:
P(multiple of 3) = number of multiples of 3 / total number of numbers
P(multiple of 3) = 12/37
So the probability of choosing a number that is a multiple of 3 is approximately 0.324 or 32.4%.
Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
To know more about probability visit:
https://brainly.com/question/30034780
#SPJ1
A bag contains 6 blue marbles, 9 red marbles, and 5 green marbles. What-
is the probability of picking a blue marble out of the bag below? Type
your answer as a fraction in simplest form.
Answer:
3/10
Step-by-step explanation:
total marbles: 6+9+5 = 20blue marbles: 66/20 = 3/1045 students participate in a sporting event. The winners are awarded rupees 1000 and all the others are awarded ruppees 200 each gor participation. If the total amount of prize money distributed is ruppees 22,600 find the total number of winners
Answer:
The total number of winners is 17.
Step-by-step explanation:
Let's assume that the number of winners is "x". Then the number of participants who did not win is "45 - x".
The amount of money awarded to the winners is 1000x rupees.
The amount of money awarded to the participants who did not win is 200(45 - x) rupees.
According to the question, the total amount of prize money distributed is 22600 rupees. So we can write:
\(\sf\implies 1000x + 200(45 - x) = 22600 \)
Simplifying this equation:
\(\sf\implies 1000x + 9000 - 200x = 22600 \)
\(\sf\implies 800x = 13600 \)
\(\sf\implies x = 17 \)
Therefore, the total number of winners is 17.
Hope it helps!
Which of the following is the equation in slope-intercept form for the line that passes through points (- 4, 1) and \ -3,0\; y = - x + 5; y = - x - 3; y = x + 2 None of these choices are correct
Answer:
there y= -x - 3 is correct
Step-by-step explanation:
(-4,1) ; (-3,0)
y= -x - 3
with (-4,1)
1 = -(-4) - 3 = 4 - 3 = 1. left = right
with (-3,0)
0 = -(-3) - 3 = 3 - 3 = 0. left = right
so the line y = -x - 3 is passes through points (-4,1) and (-3,0)
Martha has to learn 208 lines for the school play. If she learns 8 lines every day, how many days will it take her to learn all her lines? PLSSS HELP giving brainliest
Answer:
28 days
Step-by-step explanation:
i cant get this wrong or i fail
Answer: x < -2
Step-by-step explanation:
\(\frac{1}{2} x-7 < -8\)
First add 7 to both sides
\(\frac{1}{2} x-7 +7 < -8+7\)
\(\frac{1}{2} x < -1\)
Now multiply by 2 to cancel out 1/2 and leave you with x
\(2*\frac{1}{2} x < -1(2)\)
\(x < -2\)
A plant is already 9 centimeters tall, and it will grow one centimeter every month.
Let be the plant's height (in centimeters) after months.
Write an equation relating to . Then graph your equation using the axes below.
Answer:
p + (m × 1) = t
If a plant is already ___cm tall and it will grow one cm every month, an equation to find out how much the plant grew in __ months is this:
(Let t = total number of centimeters, m = number of months, and p = the length of the plant already.)
p + (m × 1) = tTherefore, the equation you can use is p + (m × 1) = t.
The average salary of an accountant is $ 71,000 a year. He just finished and his training which will increase his salary by 20%. How much more money he will make in next 10 years as compared to what he was earning without the training?
Answer:
After 10 years he will make 142 000$ more compared to what was earning without training
f(x) = 3,000 ( 1-0.85 )^4
The solution for f(5) in the function when the function f(x) = 3,000(1 - 0.85)^x is 0.2278125
How to determine the solution for f(x) in the function?From the question, we have the following equation that can be used in our computation:
f(x) = 3,000 ( 1-0.85 )^x
To make the equation legible, we need to rewrite it
So, we have the following representation
f(x) = 3,000(1 - 0.85)^x
Also from the question, we have
f(5)
So, we have the following equation
f(5) = 3000 (1 - 0.85)⁵
Evaluate
f(5) = 0.2278125
Hence, the solution is 0.2278125
Read more about functions at
brainly.com/question/28277110
#SPJ1
Possible question
Given f(x) = 3,000 ( 1-0.85 )^x
Find A(5)
According to an Automobile Association of America report, 11.5% of Americans traveled by car over the 2019 Memorial Day weekend and 87.0% stayed home.What is the probability that a randomly selected American stayed home or traveled by car over the 2019 Memorial Day weekend?P(stayed home or travelled by car) = Enter your answer in accordance to the question statement Explain why this probability does not equal 1.0.This probability is not equal to 1.0 because Choose the answer from the menu in accordance to the question statement.
Given:
According to an Automobile Association of America report, 11.5% of Americans traveled by car over the 2019 Memorial Day weekend and 87.0% stayed home.
Required:
What is the probability that a randomly selected American stayed home or traveled by car over the 2019 Memorial Day weekend?
Explanation:
\(\begin{gathered} \text{p\lparen traveled by car\rparen=}11.5\% \\ \text{ p\lparen stayed home\rparen}=87.0\% \end{gathered}\)\(undefined\)The height y of a ball (in feet) is given by the function
y= -1/12^2+2+4
and x is the horizontal distance traveled by the ball. How high is the ball when it leaves the child’s hand?
Answer:
assuming that the problem was actually
-1/12 x ^ 2 + 2x + 4
height = 16
(12,16)
forty feet (40) feet
vertex = -b/2a = -2/(-1/6) = 12
f(12) = - 144/ 12 + 24 + 4 = -12+ 24 + 4 = 16
Step-by-step explanation:
The shelf life of a particular dairy product is normally dstributed with a mean of 12 days and a standard deviation of 3 days.
About what percent of the products last between 12 and 15 days?
I Agree With person up
:p
what is the sum for 6-2(x+6)=3x+4
Answer:
x = -2
Step-by-step explanation:
6 - 2(x + 6) = 3x + 4
6 - 2x - 12 = 3x + 4
Combine like terms;
-6 - 2x = 3x + 4
Add 6 to both sides
-6 - 2x = 3x + 4
+6 + 6
Subtract 3x from both sides
-2x = 3x + 10
-3x -3x
-5x = 10
Divide both sides by -5
x = -2