Each side of a square is increasing at a rate of 4 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the square is 25 cm2

Answers

Answer 1

Answer:

The area of the square is increasing at a rate of 40 square centimeters per second.

Step-by-step explanation:

The area of the square ([tex]A[/tex]), in square centimeters, is represented by the following function:

[tex]A = l^{2}[/tex] (1)

Where [tex]l[/tex] is the side length, in centimeters.

Then, we derive (1) in time to calculate the rate of change of the area of the square ([tex]\frac{dA}{dt}[/tex]), in square centimeters per second:

[tex]\frac{dA}{dt} = 2\cdot l \cdot \frac{dl}{dt}[/tex]

[tex]\frac{dA}{dt} = 2\cdot \sqrt{A}\cdot \frac{dl}{dt}[/tex] (2)

Where [tex]\frac{dl}{dt}[/tex] is the rate of change of the side length, in centimeters per second.

If we know that [tex]A = 25\,cm^{2}[/tex] and [tex]\frac{dl}{dt} = 4\,\frac{cm}{s}[/tex], then the rate of change of the area of the square is:

[tex]\frac{dA}{dt} = 2\cdot \sqrt{25\,cm^{2}}\cdot \left(4\,\frac{cm}{s} \right)[/tex]

[tex]\frac{dA}{dt} = 40\,\frac{cm^{2}}{s}[/tex]

The area of the square is increasing at a rate of 40 square centimeters per second.


Related Questions

Entering 38.00 into the Price of Sneakers field Entering 6.00 into the Price field Entering 3.00 into the Price of Leather field True or False: You will no

Answers

Answer:

This question seems incorrect.

Kindly take a look again and re-state it properly to enable me give the most accurate answer.

Thank you

Is this right?? If not please tell me the answers

Answers

yes all of these are correct

Answer:

TAMA PO

Step-by-step explanation:

Paki brainliest nadin po


x °
68°
26 °
Find the measure of x (Hint: The sum of the measures
of the angles in a triangle is 180°

Answers:

6 °
86 °
90 °
180 °

Answers

Answer:

86°

Step-by-step explanation:

180° is the sum of all angles in a triangle

The two angles given are 68° and 26°

The equation is : 180° - 68° - 26° = x°

180° - 68° - 26° = 86°

x° = 86°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find the distance between the two points in simplest radical form. (8,−8) and (−1,−5)

Answers

Answer:

Solution given:

[tex]x_{1},y_{1}=(8,-8)[/tex]

[tex]x_{2},y_{2}=(-1,-5)[/tex]

Now

Distance between them is:

d=[tex]\sqrt{(x_{2}-x_{1})²+(y_{2}-y_{1})²}[/tex]

d=[tex]\sqrt{(-1-8)²+(-5+8)²}=3\sqrt{10}[/tex]

Distance between them is [tex]\bold{3\sqrt{10}}[/tex]

We know that the remainder Rn will satisfy |Rn| ⤠bn + 1 = 1 (n + 1)9n + 1. We must make n large enough so that this is less than 0.0001. Rounding to five decimal places, we have b2 = _________ , b3 =_________and b4 =__________

Answers

This question is incomplete, the complete question is;

We know that the remainder R[tex]_n[/tex] will satisfy | R[tex]_n[/tex] | ≤ b[tex]_{ n + 1[/tex] = 1 / ( n + 1 )9[tex]^{ n + 1[/tex].

We must make n large enough so that this is less than 0.0001.

Rounding to five decimal places,

we have b₂ = _________ , b₃ =_________and b₄ =__________

Answer:

b₂ = 0.00617, b = 0.00046 and  b₄ = 0.00004

Step-by-step explanation:

Given the data in the question;

| R[tex]_n[/tex] | ≤ b[tex]_{ n + 1[/tex] = 1 / ( n + 1 )9[tex]^{ n + 1[/tex]

Now,

b[tex]_{ n + 1[/tex] = 1 / ( n + 1 )9[tex]^{ n + 1[/tex]

b₂ = b[tex]_{ 1 + 1[/tex] = 1 / ( 1 + 1 )9[tex]^{ 1 + 1[/tex] = 1 / (2)9² = 1 / 162 = 0.00617   { 5 decimal places }

b₃ = b[tex]_{ 2 + 1[/tex] = 1 / ( 2 + 1 )9[tex]^{ 2 + 1[/tex] = 1 / (3)9³ = 1 / 2187 = 0.00046 { 5 decimal places }

b₄ = b[tex]_{ 3 + 1[/tex] = 1 / ( 3 + 1 )9[tex]^{ 3 + 1[/tex] = 1 / (4)9⁴ = 1 / 19683 = 0.00004 { 5 decimal places }

Therefore, b₂ = 0.00062, b = 0.00046 and  b₄ = 0.00004

Which set of statements shows the correct steps to find 45 percent of 75?

A.
Write 45 percent as 9 ´ 5 percent, and write 5 percent as StartFraction 1 Over 20 EndFraction. Then, find StartFraction 1 Over 20 EndFraction of 75: 75 times StartFraction 1 Over 20 EndFraction = StartFraction 75 Over 20 EndFraction = 3.75. Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75.
B.
Write 45 percent as 9 ´ 5 percent, and write 5 percent as One-half. Then, find One-half of 75: 75 times one-half = StartFraction 75 Over 2 EndFraction = 33.75. Multiply 33.75 by 9 to get 303.75. So, 45 percent of 75 is 303.75.
C.
Write 45 percent as StartFraction 1 Over 45 EndFraction. Then, find StartFraction 1 Over 45 EndFraction of 75: 75 times StartFraction 1 Over 45 EndFraction = StartFraction 75 Over 45 EndFraction = 1.67. So, 45 percent of 75 is 1.67.
D.
Write 45 percent as StartFraction 1 Over 4.5 EndFraction. Then, find StartFraction 1 Over 4.5 EndFraction of 75: 75 times StartFraction 1 Over 4.5 EndFraction = StartFraction 75 Over 4.5 EndFraction = 16.7. So, 45 percent of 75 is 16.7.

Answers

Pls the answer is

D

Thank you

You are welcome

Answer:

d

Step-by-step explanation:

im smart

Complete the angle addition postulate for the following angle

Answers

Answer:

measurement m<GEM+m<MEO=m<GEO

The time that it takes to fold 1,000 origami cranes varies inversely with the number of people folding the cranes. If a class of 25 students work together to fold the 1,000 cranes, it will take 3 hours. Write an equation to show the relationship between time (t) and the number of people (n) folding cranes.
ASAP!!!!

Answers

Answer:

t = [tex]\frac{75}{n}[/tex]

Step-by-step explanation:

Use the inverse variation equation, y = [tex]\frac{k}{x}[/tex]

Replace y with t, and replace x with n, since those are the variables in this situation:

t = [tex]\frac{k}{n}[/tex]

Plug in 3 as t and 25 as n, and solve for k:

3 = [tex]\frac{k}{25}[/tex]

75 = k

Create the equation by plugging in 75 as k:

t = [tex]\frac{75}{n}[/tex]

So, the equation is t = [tex]\frac{75}{n}[/tex]

Which are the roots of the quadratic function f(q) = 92 – 125?

Answers

Answer:

There are no solution/no roots for f(q) = 92 - 125

Identify the level of measurement (nominal, ordinal, or interval-ratio) of each of the following variables: (1) How satisfied a person is with his or her employment benefits, measured as very satisfied, somewhat satisfied, neither satisfied nor dissatisfied, somewhat dissatisfied, or very dissatisfied. (2) The number of times someone has shoplifted in her or his life. (3) The number of times someone has voted in a public election measured as 0-1 times, 2-3 times, or 4 or more times. (4) The type of attomey a criminal defendant has attrial, measured as privately retained or publicly funded.

Answers

Solution :

Nominal variable

A nominal variable is defined as a variable which is used to [tex]\text{nam}e \text{ or label or categorize some particular attributes }[/tex]  which are being measured.

An ordinal variable is the one in which the order matters, but the difference between any two orders does not matter.

In interval ratio variable is defined as the variable where the difference between any two values is meaningful.

The level of measurement  for each of the following are :

1) Variables that are categorized in categories so that it is ordinal data.

2) Data scaled with the two categories her or his,  so it is a nominal data.

3) Number of votes categorized in the intervals so it is Interval type data.

4) nominal data.

How many solutions does the nonlinear system of equations graphed below
have?
A. One
B. Four
C. Two
D. Zero

Answers

Answer:

D

Step-by-step explanation:

There is no point shared by all three graphs

if side of square is 4.05 find its area ​

Answers

Answer:

A

16.4

please give brain list

at the market, a housewife bought 2 kilograms of eddoes at $5 per kilogram and 5 kilograms of chicken at $10 per kilogram. she paid that market vendor $75. how many dollar does she owe the vendor​

Answers

Answer:

The total for the housewife's purchase should be 60 dollars. So it should be the vender who owes her money. The vender owes her 15 dollars.

Step-by-step explanation:

$5 = 1kg (eddoes) meaning a total of 2kg eddos =$10

$10 = 1kg (chicken) meaning a total of 5kg chicken = $50

When added together, it'd be 60 dollars.

(I'm not sure if you maybe forgot a part of the question or only had this part)

Công ty T vừa đưa vào sản xuất một loại sản phẩm mới với định mức giờ máy là 2 giờ/sản phẩm. Tài liệu về sản phẩm trong năm như sau (đồng):


Chi phí nguyên vật liệu trực tiếp/sp

30.000

Chi phí nhân công trực tiếp/sp

27.000

Chi phí sản xuất chung/sp

12.000(25% là biến phí)

Bao bì/sp (ở khâu SX)

5.000

Lương quản lý và bán hàng

83.300.000

Quảng cáo

34.700.000

Chí phí khác bằng tiền

30.000.000

Vốn đầu tư bình quân

1.200 triệu

ROI mong muốn

16%

Tổng số giờ máy hoạt động cho sản xuất

40.000 giờ


Yêu cầu:

1. Hãy định giá bán theo biến phí?

2. Để sản xuất sp mới này, Cty tự chế tạo 1 chi tiết để lắp vào sản phẩm với thông tin như sau:

- Biến phí sản xuất của Chi Tiết = 40% biến phí sp

- KH TSCĐ cho việc sản xuất chi tiết là 42.000.000đ

- Chi phí quản lý chung phân bổ cho việc sản xuất chi tiết là 19.040.000đ.

Có một doanh nghiệp khác đến chào hàng chi tiết với giá chỉ bằng 70% so với giá thành cty tự sản xuất và đảm bảo đủ số lượng, chất lượng theo yêu cầu. Các phương tiện sản xuất chi tiết có thể cho thuê 13.000.000đ/năm. Cty nên tự sản xuất hay mua ngoài?

Answers

Answer:

??????

Step-by-step explanation:

Bob had 10 more cars than Paul. Paul had 15 cars.

Answers

Answer:

Bob had 25 cars

Step-by-step explanation:

10+15=25

Bob at 25 cars
explanation: paul had 15 cars bob had 10 more
15+10=25

x(x-y) - y( x- y) simplify ​

Answers

Step-by-step explanation:

x²-xy-xy+y²

x²+2xy+y²

hope it helps

The correct and best answer will be marked as brainiest

Answers

Answer:

x=10

m=3

Step-by-step explanation:

The angles are the same since the sides are the same length (isosceles triangle)

55 = 5x+5

Subtract 5

55-5 =5x+5-5

50 = 5x

Divide by 5

50/5 = 5x/5

10=x

The altitude is a perpendicular bisector so

5m-3 = 2m+6

Subtract 2m from each side

5m-3-2m = 2m+6-2m

3m-3 = 6

Add 3 to each side

3m-3 +3 =6+3

3m =9

Divide by 3

3m/3 = 9/3

m =3

The quadrilateral KLMN is dilated with the center of dilation located at point M. Which statement is accurate?
1. The scale factor is 3, which means the length of the image of segment KL will be 1/3 times as long.

2. The scale factor is 1/3, which means the length of the image of segment KL will be 1/3 times as long.

3. The scale factor is 3, which means the length of the image of segment KL will be 3 times as long.

4. The scale factor is 1/3, which means the length of the image of segment KL will be 3 times as long.

Answers

Answer:

3. The scale factor is 3, which means the length of the image of segment KL will be 3 times as long.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Dilation is the increase or decrease in the size of a figure. If a point A(x, y) is dilated about the center of dilation located at O(a, b), the new point is at A'[k(x - a) + a, k(y - b) + b].

Quadrilateral KLMN has vertices at K(2, 1), L(-1, -5), M(6, -5) and N(6, 1). If it is dilated by 3, about the center M(6, -5), the new points are:

K' = (3(2 - 6) + 6, 3(1 - (-5)) + (-5)) = (-6, 13)

L' = (3(-1 - 6) + 6, 3(-5 - (-5)) + (-5)) = (-15, -5)

M' = (3(6 - 6) + 6, 3(-5 - (-5)) + (-5)) = (6, -5)

N' = (3(6 - 6) + 6, 3(1 - (-5)) + (-5)) = (6, 13)

Therefore the image of segment KL will be 3 times long.

what is 3/2 divided by 1/8

helppp​

Answers

Answer: 12

Step-by-step explanation:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

write the equation of the line shown in the graph above in slope-intercept form

Answers

y = mx + c
y= -2/3x + 1
1= c
Answer: y= -2/3x+1


Step 1: Write slope-intercept form equation

To start answering this question, it helps to write out the example equation for slope-intercept form. Let’s do this now.

y=mx+b

Keep in mine that the y represents the answer, the m represents the slope, the x represents the variable, and the b represents the y-intercept.

Step 2: Determine the y-intercept

I find that it is easiest to determine the y-intercept first. This is the b in the equation. The y-intercept can be find by looking at the y-axis, and seeing where the line intersects with the axis. In this case, it seems to be at 1. Let’s substitute this into our equation now.

y=mx+b
y=mx+1

Step 3: Determine slope

For the final thing that we need to fill in, we need to find the slope. The slope is the m in the equation, and can be found by the formula of rise/run. Choose any two points, and see how far they are from each other up and down (rise), as well as left and right (run).
For the sake of this problem, we will work with (0,1) and (-3,3). There is a difference in the rise of 2 and in the run of 3. This makes the rise/ run be 2/3. Let’s substitute this now.

y=mx+1
y= 2/3x+1

The slope will also need to be negative since the line on the graph descends. Let’s change this to a negative now.

y= -2/3x+1


This is your answer. Hope this helps! Comment below for more questions.

Find x. Simplify completely.
X
9
25
x = [?]

Answers

9514 1404 393

Answer:

  x = 15

Step-by-step explanation:

In this geometry, x is the geometric mean of the segment lengths of the hypotenuse.

  x = √(9×25)

  x = 15

Visually demonstrate the decimal .3 in the hundred square below. Explain how you what to shade.

Answers

shade in the first 3 columns. You shade these in because .3 is basically 3/10s therefore, you shade 3 out of the 10 columns

URGENT PLS HELP

Given f(y)=2y^2 - 4y, and h(x)= x^2 - 1, determine f(h(x))

Answers

Answer:

f(h(x)) = 2•(x²-1)² -4•(x²-1)

Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to answer a list of questions.



Part A: For what one value of are the perimeters of the quadrilaterals the same? (Hint: The perimeter of a quadrilateral is the sum of its sides.)

Part B: For what one value of are the areas of the quadrilaterals the same? (Hint: The area of a quadrilateral is the product of its base and height.)

Answers

Answer:

For the perimeters, x must be equal to 2.

For the areas, it is either undefined, or something.

Step-by-step explanation:

You can first find the perimeters for both sides.

For the left shape, we add the two sides of 6 and x + 4 to get x + 10.

Then we multiply x + 10 by 2 because there are 4 sides, and we only got 2 sides.

The perimeter of the first shape is 2x + 20.

The second shape can be solved by doing the same thing by adding 2 and 3x + 4 to get 3x + 6.

3x + 6 times 2 is 6x + 12.

The second perimeter is 6x + 12.

If both sides are supposed to be equal, then we can write these two expressions we solved for like:

6x + 12 = 2x + 20.

Subtraction property of equality

6x + 12 - 12 = 2x + 20 - 12

Simplify

6x = 2x + 8

Again

6x - 2x = 2x - 2x + 8

Simplify

4x = 8

Division property of equality

4/4x = 8/4

Simplify

x = 2

So if x = 2, the perimeters will be the same.

You can confirm this by plugging it back into either equation.

For the areas, we just multiply the length and width for both shapes, so we get

6(x+4)  =  2(3x+4)

Since they are supposed to be equal.

We simplify and get

6x + 24 = 6x + 8

We know this is false and is not possible, since we can remove the 6x because it is on both sides.

We also know that 24 is not equal to 8 (who thought!)

:D

24 ≠ 8

So it is undefined or whatever you call it.

Select the correct answer from the drop-down menu.
The measure of the angle between the two sides of the roof is approximately
A. 95.8
B. 91.2
C. 92.9

Answers

i think it’s B 91.2

Can any one you help me with this ?

Answers

NUE is 30° LUN is 60° EUS is 30° LUE is 90° LUS is 120°

Step-by-step explanation:

NUE is given

LUN was from the 90° angle LUE but just minus 30°

EUS is honestly a guess :/

LUE is obviously 90° as we used it earlier

LUS was the 90° plus the EUS

Please help with problem

Answers

9514 1404 393

Answer:

∠CAE ≈ 16.7°DF ≈ 5.3

Step-by-step explanation:

a) Angle CAE can be found using the tangent relation.

  tan(∠CAE) = CE/AE

  tan(∠CAE) = 6/20

  ∠CAE = arctan(6/20) ≈ 16.7°

__

b. The length of DF can be found using the law of cosines.

  DF² = FA² +DA² -2·FA·DA·cos(A)

  DF² = 14² +10² -2·14·10·cos(16.7°) ≈ 27.8086

  DF ≈ √27.8086

  DF = 5.3

¿Pueden ayudarme por favor?

Answers

Yes I can help you out 3x+4()7

write seven million six hundred twenty thousand six hundred fifty in standard form?​

Answers

Answer:

7,620,650

Step-by-step explanation:

___________

Answer:

7,620,650

Step-by-step explanation:

To write in standard form, you just write the entire number out.

For P = {5, 12, 13, 14), Q = {2, 7, 11), and R = {4, 7, 8, 11}, find PU (Q n R).

Answers

Answer:

(5 7 11 12 13 14)

Step-by-step explanation:

Q inter R = 7 and 11

So the union between p and 7 and 11 is the answer above

Other Questions
Due to erratic sales of its sole producta high-capacity battery for laptop computersPEM, Inc., has been experiencing financial difficulty for some time. The companys contribution format income statement for the most recent month is given below: Sales (12,800 units $20 per unit) $ 256,000 Variable expenses 153,600 Contribution margin 102,400 Fixed expenses 114,400 Net operating loss $ (12,000 ) Required: 1. Compute the companys CM ratio and its break-even point in unit sales and dollar sales. 2. The president believes that a $6,700 increase in the monthly advertising budget, combined with an intensified effort by the sales staff, will result in an $84,000 increase in monthly sales. If the president is right, what will be the increase (decrease) in the companys monthly net operating income? Apply the distributive property to create an equivalent expression.4(x - 2 + y) =4(x2+y)=4, left parenthesis, x, minus, 2, plus, y, right parenthesis, equals Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.Match the systems of equations to their solutions. Can someone just check my answers please? Please let me know which questions are wrong. Thank you for your time. Please help answer all correctly whoever answers all/ mostly all correctly will get brainly!!!1). Where did Tutankhamen relocate the Egyptian capital?A) AlexandriaB) AkhenatonC) MemphisD) Thebes2). How did Ramses IIs leadership affect Egypts economy?A) The economy slowed down because of the pharaohs heavy taxes.B) The economy expanded through trade and the conquest of territory.C) The economy struggled because Ramses II would not protect trade routes.D) The economy boomed as Ramses II discovered new trade routes for Egypt.3). What was an effect of Queen Hatshepsuts expanded trade routes?A) Egypt gained access to new resources.B) The Egyptians were able to trade for tools.C) The Egyptians found it harder to acquire resources.D) The Egyptians were able to trade ivory to other countries.4). What was a priority of Queen Hatshepsuts reign?A) constructing new pyramidsB) reforming religious ideasC) strengthening Egypts armiesD) expanding Egypts empire5). Why was Queen Hatshepsuts tax policy significant?A) People no longer had to pay taxes on trade.B) New taxes decreased Egypts wealth and status.C) Egypt was one of the first civilizations to pay taxes.D) Queen Hatshepsut significantly lowered taxes.6). How did Tutankhamens religious reforms affect society?A) The military became more focused on religious practices.B) Temples were closed because they were not being used.C) Trade declined because he focused on religion and not the economy.D) The people were able to return to their former religious practices.7). What statement describes the building projects accomplished under Tutankhamen?A) He built new temples to honor the old gods.B) He repaired religious sites and built monuments.C) He introduced the obelisk to Egyptian construction.D) He built new trade routes and trading centers in Egypt.8). What was taxed under Queen Hatshepsuts reign?A) trade goodsB) trade routesC) temple admissionD) construction projects9). How did Ramses II use the military to improve the Egyptian Empire?A) He used the military to retake old Egyptian territory.B) He used the army to force Egyptians to worship Aten.C) He took over Hittite land that was new to the kingdom.D) He was able to conquer all other neighboring countries10). 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