The rate of change of the area of circle with respect to radius is: 8π.
What is the rate of change of a function?The rate at which one quantity changes in relation to another quantity is known as the rate of change of a function.
Now,
Area of a circle having radius (=r) is given by: A = πr²
The rate of change of area of the circle will then be given by:
\(\frac{dA}{dr}=\pi \frac{d}{dr}(r^{2})=2\pi(r)\)
For r = 4, \(\frac{dA}{dr}=2\pi(4)=8\pi\)
Hence, the rate of change of area of the circle when the radius is 8π.
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PLEASE HELP WILL GIVE BRAINLIESTT
Answer:
x = 135,
y = 45
Step-by-step explanation:
45 and y are vertical angles. That means they are equal
y = 45
45 and x form a straight line which means they sum to 180
45+x = 180
Subtract 45 from each side
45+x-45 =180-45
x = 135
PLS HELP BEING TIMED
Which is the BEST approximation of the solution shown in the system of equations graphed below?
Answer:
Step-by-step explanation:
I would say (1.75, 1.5)
extra lett shsbss s gs gs sg ss gss s a as sa an s sababsg sbs sg sbasba ssb assbs sb sbbshs s sjbjsabs poits
1+1
Answer:
1+1=2
Step-by-step explanation:
easy lol
slope-intercept form with the points (7, 2), (2, 12)
Step-by-step explanation:
the slow intercept form is
y = ax + b
the slope is always the factor a of x (in every line equation).
it is defined as the ratio y/x expressing how many units y changes, when x changes a certain amount of units - e.g. when going from one point on the line to another.
so, for the given 2 points x changes by -5 (from 7 to 2), and y changes by +10 (from 2 to 12).
therefore, the slope is 10/-5 = -2
our line equation looks more like
y = -2x + b
to get b we use the coordinates of one of the points.
e.g. 7, 2
2 = -2×7 + b = -14 + b
b = 16
or full line equation is
y = -2x + 16
Maddy works for base pay: $37,555 and commission: 5.5%
H.E.L.P M.E
The 5.5 percent commission on $37555 will give Mandy a value of $2065.525
How to calculate the commission?It's important to note that commission is the amount that's given based on the sales made.
In this case, we want to calculate the commission based on the percentage. This will be:
= 5.5% × $37,555
= 0.055 × $37,555
= $2065.525
This shows the commission.
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Maddy works for base pay: $37,555 and commission: 5.5%. What is the. commission?
Maddy's total pay would be = $39,620.525
What is commission value?Commission values are the sum of money that is gotten from the total amount and the given commission rate.
The base pay received by Maddy at work = $37,555
The commission rate at work = 5.5%
His total pay after receiving after receiving his commission;
= ( 5.5/100 × 37, 555) + 37, 555.
= ( 206,552.5/100) + 37,555
= 2,065.525 + 37,555
= $39,620.525.
The amount of money that Maddy would receive at the end of work = $ 39,620.525.
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huduko incorporated offers a number of computer services. one server handles its own web page. it receives requests for web pages at the rate of 79 per second. the standard deviation of these interarrival times is 0.02 second. what is the coefficient of variation of the interarrival times for this server?
Using the standard deviation value of these interarrival times, the coefficient of variation is 0.012.
What do you mean by Standard Deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
What is Coefficient of variation and formula to calculate it?The standard deviation to mean ratio, or coefficient of variation (CV), illustrates the degree of variability in proportion to the population mean. The dispersion increases with increasing CV.
Formula is given by:
\(CV = \frac {\sigma}{\mu}\)
\(\sigma = 0.02\)
Mean for the time of 0.02 sec is = 79 * 0.02
=1.58
CV= 0.02/1.58
=0.012
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A System of equations with positive slopes and intersect the y axis at point -6
what do you want me to answer?
Consider the time function.f(t) = sin t sin 3tIt is known that the trigonometric functionsin A sin B = 1/2 [cos (A-B) - cos (A+B)]
The time function f(t) = sin t sin 3t can be simplified using the trigonometric identity sin A sin B = 1/2 [cos (A-B) - cos (A+B)].
Starting with f(t) = sin t sin 3t, we can simplify this to f(t) = 1/2 [cos(-3t) - cos(3t)].
Using the double angle formula, we can further simplify the expression: cos (2x) = 2cos^2x - 1. This can be rewritten as: f(t) = 2cos^2(-3t) - 1.
Lastly, we can use the sum formula for cosine to get our final expression: f(t) = 4cos^3(-t) - 3cos(-t).
In conclusion, the time function f(t) = sin t sin 3t can be simplified to f(t) = 4cos^3(-t) - 3cos(-t) using the trigonometric identity sin A sin B = 1/2 [cos (A-B) - cos (A+B)] and the double angle and sum formulas for cosine.
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Which numbers are 4 units from -2 on this number line?
Drag and drop the two numbers that are 4 units from -2 to their correct position on the number line.
Answer:
-6 and 2
Step-by-step explanation:
See attached worksheet.
There are two goods and three different budget lines respectively given by (p
(1)
,w
(1)
),(p
(2)
,w
(2)
) and (p
(3)
,w
(3)
). The unique revealed preferred bundle under budget line (p
(n)
,w
(n)
) is x(p
(n)
,w
(n)
),n=1,2,3. Suppose p
(n)
⋅x(p
(n+1)
,w
(n+1)
)≤ w
(n)
,n=1,2, and the Weak Axiom of Reveal Preference (WARP) holds for any pair of x(p
(n)
,w
(n)
) and x(p
(n
′
)
,w
(n
′
)
) where n,n
′
=1,2,3 and n
=n
′
. Please show that p
(3)
⋅x(p
(1)
,w
(1)
)>w
(3)
. In other words, if x(p
(1)
,w
(1)
) is directly or indirectly revealed preferred to x(p
(3)
,w
(3)
), then x(p
(3)
,w
(3)
) cannot be directly revealed preferred to x(p
(1)
,w
(1)
)
The inequality p(3)⋅x(p(1),w(1)) > w(3) holds, demonstrating that x(p(3),w(3)) cannot be directly revealed preferred to x(p(1),w(1)).
How can we prove p(3)⋅x(p(1),w(1)) > w(3)?To prove the inequality p(3)⋅x(p(1),w(1)) > w(3), we'll use the transitivity property of the Weak Axiom of Revealed Preference (WARP) and the given conditions.
Since x(p(1),w(1)) is directly or indirectly revealed preferred to x(p(3),w(3)), we know that p(1)⋅x(p(3),w(3)) ≤ w(1). This implies that the cost of x(p(3),w(3)) under the price vector p(1) is affordable within the budget w(1).
Now, let's consider the budget line (p(3),w(3)). We have the budget constraint p(3)⋅x(p(3),w(3)) ≤ w(3). Since the revealed preferred bundle under this budget line is x(p(3),w(3)), the cost of x(p(3),w(3)) under the price vector p(3) is affordable within the budget w(3).
Combining the two inequalities, we get p(3)⋅x(p(3),w(3)) ≤ w(3) and p(1)⋅x(p(3),w(3)) ≤ w(1). Multiplying the second inequality by p(3), we obtain p(3)⋅(p(1)⋅x(p(3),w(3))) ≤ p(3)⋅w(1).
Given that p(n)⋅x(p(n+1),w(n+1)) ≤ w(n) for n=1,2, and using the fact that p(3)⋅x(p(3),w(3)) ≤ w(3), we can rewrite the inequality as p(3)⋅(p(1)⋅x(p(3),w(3))) ≤ w(3).
Since p(3)⋅x(p(3),w(3)) ≤ w(3) and p(3)⋅(p(1)⋅x(p(3),w(3))) ≤ w(3), we can conclude that p(3)⋅x(p(1),w(1)) > w(3).
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1. "is going"
Which principal part of the verb is used in the following sentence?
Eunice is going to the prom with Zeke.
A. past
B. present
C. past participle
D. present participle
Abigail has $356 in her bank account. She earns simple interest on her money at a rate of 3% per year for a total of five years. What was the new balance of the account at the end of the 5 years? А $409.4 B $250.37 6 C) $625 - D $37.50 1
Answer:
it's probably b
Step-by-step explanation:
I don't know how to do it so don't do b
Wages $6.54 1. Cook, fast food 21. P
Answer:
I dont get it. :(
developing countries are providing new markets for companies that can provide them with needed: multiple select question. managers goods services technology
Managers, goods, services, and technology are all needed in developing countries, and therefore, they provide new markets for companies that can supply these essentials.
Developing countries often have growing economies and increasing consumer demands. As these countries strive for development and improvement, they require effective management to drive their businesses and organizations. Managers play a crucial role in overseeing operations, implementing strategies, and maximizing efficiency.
Additionally, developing countries require goods and services to meet the needs of their populations. This includes basic necessities such as food, clothing, and shelter, as well as other essential products and services like healthcare, education, infrastructure development, and transportation. Companies that can provide these goods and services have an opportunity to enter new markets and cater to the demands of the growing population.
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If y is a positive integer, for how many different values of y is RootIndex 3 StartRoot StartFraction 144 Over y EndFraction EndRoot a whole number? 1 2 6 15
Answer:
2 possible values
Step-by-step explanation:
The given expression is:
\(\sqrt[3]{\frac{144}{y} }\)
In order for this to result in a whole number, 144/y must be a perfect cube, the possible perfect cubes (under 144) are:
1, 8, 27, 64, 125
The values of y that would result in those numbers are:
\(y=\frac{144}{1}=144 \\y=\frac{144}{8}=18 \\y=\frac{144}{27}=5.333\\y=\frac{144}{64}=2.25\\y=\frac{144}{125}=1.152\)
Only two values of y are integers, therefore, there are only two possible values of y for which the given expression results in a whole number.
Answer:it’s b
Step-by-step explanation:
Just took quiz on edge 2020
Which car is not traveling at a constant speed? Explain your reasoning.
Answer:
cart 3
Step-by-step explanation:
65/1 is not equal to 85/2
Answer:
car 3
Step-by-step explanation:
the other cars like car are equally divided to equal the other results so like car 1 is traveling in 60 miles every 2 hrs and car 2 is 200 miles every 5 hours
A restaurant offers a choice of 4 salads, 9 main courses, and 4 desserts. How many possible 3-course meals are there
Answer:
144
Step-by-step explanation:
Multiply each option together 9X4X4=144
30 pts answer correct plzzzz
Answer:
b
Step-by-step explanation:
b is correct
Answer:
Option 1
Step-by-step explanation:
∠EGB ≅ ∠EHD {Corresponding angles
∵ ∠AGF ≅∠EHD {transitive equality property}
will give brainly !1!1!1!1!1!
Answer:
$353
Step-by-step explanation:
Step 1:
$552 - $82 - $117
Step 2:
$552 - $199
Answer:
$353
Hope This Helps :)
Answer:
Samantha has $353.00 dollars left.
Step-by-step explanation:
First I add the two withdrawals 82+117=$199.
Then you subtract $199 from $552 and the answer is $353.
I hope this helps in any way.
HELP (5 star and brainliest if correct) a line passes through the points (2a+50, 9) and (40-a, 3) and through the origin. what is the value of a?
Since slope of line passing through two points (x
1
,y
1
) and (x
2
,y
2
) is m=
x
2
−x
1
y
2
−y
1
We now find the slope of the line passing through the points (7,5) and (−9,5) as shown below:
m=
−9−7
5−5
=
−16
0
=0
Therefore, the slope of the line is 0.
Now use the slope and either of the two points to find the y-intercept.
y=mx+b
5=(0)(7)+b
b=5
Write the equation in slope intercept form as:
y=mx+b
y=(0)x+5
y=5
Hence, the equation of the line is y=5.
Answer:
a = 3
Step-by-step explanation:
Since the line passes through the origin, we can find its equation using the two given points.
The slope of the line is:
m = (3 - 9) / (40 - a - 2a - 50) = -6 / (10 - 3a)
Using the point (2a+50, 9), we can find the y-intercept (b) of the line:
9 = m(2a+50) + b
b = 9 - m(2a+50)
b = 9 + (6/(3a-10))(2a+50)
So the equation of the line is:
y = (-6 / (3a-10))x + (9 + (6/(3a-10))(2a+50))
Since the line passes through the origin, the y-intercept (b) must be zero. Therefore:
0 = 9 + (6/(3a-10))(2a+50)
6(2a+50) = -9(3a-10)
12a + 300 = -27a + 90
39a = 210
a = 210/39
a = 3
Which sequence of transformations will result in a parallelogram with vertices A(−2, 1), B(−4,−3), C(2,−5), D(4,−1) A ( - 2 , 1 ) , B ( - 4 , - 3 ) , C ( 2 , - 5 ) , D ( 4 , - 1 ) being carried onto the parallelogram A'B'C'D' A ' B ' C ' D ' shown below?
Answer:
I am pretty sure it is a reflection over the x-axis followed by a translation of 1 unit left and 2 units down.
Step-by-step explanation:
I dont really have an explanation i just know this is the answer. I am on this problem too lol
Translated 1 unit right and 2 units up followed by a reflection across x-axis.
Given that, a parallelogram with vertices A(−2, 1), B(−4,−3), C(2,−5), and D(4,−1).
We need to find which sequence of transformations will result in a parallelogram with vertices.
What is a transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or a geometric figure. The original shape of the object is called the pre-image and the final shape and position of the object is the image under the transformation.
Parallelogram has vertices A(−2, 1), B(−4,−3), C(2,−5), D(4,−1) while parallelogram A'B'C'D' has vertices A'(-1, -3) B'(-3, 1) C'(3, 3) D'(5, -1)
If a point X(x, y) is translated a units right and b unit up, the new point is X'(x + a, y + b).
If a point X(x, y) is reflected across the x-axis, the new point is X'(x, -y)
If parallelogram ABCD is translated 1 unit right and 2 units up (i.e. x + 1, y + 2), the new points is A'(-1, 3), B'(-3, -1), C'(3, -3), D'(5, -1). If a reflection across x-axis is then done, the new point is A'(-1, -3) B'(-3, 1) C'(3, 3) D'(5, -1)
Hence, translated 1 unit right and 2 units up followed by a reflection across x-axis.
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The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.9 hours and standard deviation of 0.3 hours. Calculate the following: A random movie is between 1.8 and 2.0 hours. A movie is longer than 2.3 hours. The length of movie that is shorter than 94% of the movies
Answer:
0.260.911.43Step-by-step explanation:
given data
mean = 1.9 hours
standard deviation = 0.3 hours
solution
we get here first random movie between 1.8 and 2.0 hours
so here
P(1.8 < z < 2 )
z = (1.8 - 1.9) ÷ 0.3
z = -0.33
and
z = (2.0 - 1.9) ÷ 0.3
z = 0.33
z = 0.6293
so
P(-0.333 < z < 0.333 )
= 0.26
so random movie is between 1.8 and 2.0 hours long is 0.26
and
A movie is longer than 2.3 hours.
P(x > 2.3)
P( \(\frac{x-\mu }{\sigma}\) > \(\frac{2.3-\mu }{\sigma}\) )
P (z > \(\frac{2.3-1.9 }{0.3}\) )
P (z > 1.333 )
= 0.091
so chance a movie is longer than 2.3 hours is 0.091
and
length of movie that is shorter than 94% of the movies is
P(x > a ) = 0.94
P(x < a ) = 0.06
so
P( \(\frac{x-\mu }{\sigma }\) < \(\frac{a-\mu }{\sigma }\) )
\(\frac{a-1.9 }{0.3 } = -1.55\)
a = 1.43
so length of the movie that is shorter than 94% of the movies about 1.4 hours.
Let f(x) =x^2 + x + 9 and g(x)x = -4x - 3.
Find (fg) (x) and (f/g) (x)
Answer: First, we need to find the composite function (fg)(x):
(fg)(x) = f(g(x))
= f(-4x-3)
= (-4x-3)^2 + (-4x-3) + 9 (substituting g(x) into f(x))
= 16x^2 + 24x + 18
Therefore, (fg)(x) = 16x^2 + 24x + 18.
Next, we need to find the quotient function (f/g)(x):
(f/g)(x) = f(x) / g(x)
= (x^2 + x + 9) / (-4x - 3) (substituting f(x) and g(x))
To simplify this expression, we can use polynomial long division or synthetic division. Using synthetic division, we get:
-4 | 1 1 9
|_____-4__ 12
| 1 -3 21
Therefore, (f/g)(x) = -4x + 3 - 21 / (-4x - 3)
Simplifying further, we get:
(f/g)(x) = -4x + 3 + (21/4)(1/(x + 3/4))
Therefore, (f/g)(x) = -4x + 3 + (21/4)(1/(x + 3/4)).
Step-by-step explanation:
lo nesesito las respuestas del sombrero y del dulse
Answer:
I need it the answers of the hat and the dulse
Step-by-step explanation:
:)
Answer:
dulse=7
hat=30
Step-by-step explanation:
Have a nice day!
I hope I am correct tell me If I am wrong.
What is the best approximation of the root of 51?
A. 5.9
B. 5.3
C. 9.2
D. 7.1
What is the best approximation for √29? a. 5 b. 5.2 c. 5.9 d. 6
As per the estimation method, the best approximation of root of 51 is D. 7.1.
Estimation method:
In math, estimation method gives us an approximate answer and is usually not accurate to more than 1 decimal place. However, it is easy to perform as can be seen under.
Given
Here we need to find the best approximation of the root of 51
In order to solve this one, we have to perform the following steps,
First, we have to find a perfect square that is smaller than 51 and one that is bigger than 51. In this case, 7 and 8 will work as their squares are 49 and 64.
Now, we have to writing in terms of inequality
=> 7<√51<8 = 49<51<64
Then we have to Multiply by 10 and write in terms of square roots
=> √4900<√5100<√6400
Now, we have to move closer to inequality
=> √5041<√5100<√5184 = 71<10√51<72
=> 7.1<√51<7.2
Then by taking average of upper and lower limits, we get
=> (7.1 + 7.2)/2 = 7.15
Therefore, we can estimate the square root of 51 is approximately 7.1.
Therefore, option D is correct.
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The perimeter of a rectangle whose length is twice as much as its width, is 30 in. Find its length and width.
Answer:
Width = 5
Length = 10
Step-by-step explanation:
Let x be the width of the rectangle
2x + 2(2x) = 30
x = 5
Width = 5
Length = 10
Economics
Read this article about the history of Starbucks Corporation from HistoryLink.org: "Starbucks: The Early Years" by Sheila Farr. As you read, find at least one example of every major group in a typical circular flow diagram, including:
A business
A resource market
A household
A product market
Also find examples of a resource, good, service, or dollar amount that flowed between each of the four groups you identified. More specifically, these examples should include:
A resource from a resource market that a business used
A productive resource (labor) that a household supplied to a resource market
An expenditure a household made by buying a product
A product a household bought from the product market
Revenue a business made from the product market
A good or service a business provided to the product market
Once you have identified at least one example for each item in the list above, fill out the blank circular flow diagram below.
Keep in mind that the reading may provide multiple examples for each item. You only need to mention one or two examples, but make sure they are clear so your instructor can easily find them in the article. Also keep in mind that since the "income" and "wages, interest, net profit" categories are not explicitly mentioned in the reading, these details have been filled in for you.
Answer:
Business: Starbucks Corporation
Resource Market: Coffee farmers
Household: Starbucks customers
Product Market: Starbucks stores
Resource from a resource market that a business used: Coffee beans
Productive resource (labor) that a household supplied to a resource market: Starbucks customers' labor in the form of wages
Expenditure a household made by buying a product: Starbucks customers' expenditure on coffee and other products
Product a household bought from the product market: Coffee and other products from Starbucks stores
Revenue a business made from the product market: Starbucks Corporation's revenue from the sale of coffee and other products
A good or service a business provided to the product market: Starbucks Corporation's provision of coffee and other products to its customers
Circular Flow Diagram:
Households --> Product Market --> Business --> Resource Market --> Households
What is the total surface area??
Check the picture below.
\(\stackrel{\textit{\LARGE Areas}}{ \stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(\underset{b}{8})(\underset{h}{6}) \right]}~~ + ~~\stackrel{\textit{three rectangles}}{(14)(6)~~ + ~~(14)(8)~~ + ~~(14)(10)}} \\\\\\ 48~~ + ~~84~~ + ~~112~~ + ~~140\implies \text{\LARGE 384}~cm^2\)
look at the image for the question and the answers
Answer: The answer is your bad, you shouldnt be "answering" questions with " sorry i need points"
two standard number cubes are thrown, one after the other. what is the probability that the first cube lands showing a 1 and the second cube lands showing a number that is not 1? round the answer to the nearest thousandth. a. 0.056 b. 0.139 c. 0.167 d. 0.278 please select the best answer from the choices provided a b c d
The probability of the first cube landing showing a 1 and the second cube landing showing a number that is not 1 is b. 0.139.
To find the probability of the first cube landing showing a 1 and the second cube landing showing a number that is not 1, we need to consider the probabilities of each event separately and multiply them together.
The probability of the first cube landing showing a 1 is 1/6 since there is one favorable outcome (getting a 1) out of six possible outcomes (numbers 1 to 6 on the cube).
The probability of the second cube landing showing a number that is not 1 is 5/6 since there are five favorable outcomes (numbers 2 to 6) out of six possible outcomes.
To find the combined probability, we multiply these probabilities: (1/6) * (5/6) = 5/36.
Rounded to the nearest thousandth, the probability is approximately 0.139.
Therefore, the correct answer is b. 0.139.
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