A rectangle has one side of 10cm. How fast is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute

Answers

Answer 1
10x12 = 120
10x15 = 150
10x18 = 180 and so on.
The answer is that the area of the rectangle increase by 30 cm every minute!
Answer 2

30 is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given,

A rectangle has one side of 10cm

We need to find how fast is the area of the rectangle changing at the instant when the other side is 12 cm  and increasing at 3cm per minute

This can be written as A=10x

Now differentiate with respect to t.

dA/dt=10 dx/dt

increasing at 3cm per minute

dx/dt=3

dA/dt=10 (3)

dA/dt=30

Hence 30 is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute

To learn more on Rectangle click:

https://brainly.com/question/20693059

#SPJ5


Related Questions

What is the quotient of 4/5÷1/3

Answers

Solving:

The quotient of a division, is the result of the division, for example, 3 divided by 3, the result is 1, that is the quotient.

[tex]\sf \displaystyle \sf \frac{4}{\:5}\div \frac{1}{3}\\\\\\\sf \frac{4}{5}\times \frac{3}{1}\\\\\\\sf \frac{4\times \:3}{5\times \:1}\\\\\\\sf \frac{12}{5\times \:1}\\\\\\\sf \frac{12}{5}\approx\boxed{\sf 2,2\ll Quotient}[/tex]

Okay?!

Determine whether the rate of change is constant. Choose the correct answer below.

Answers

Answer:

yes, the rate of change is constant and it equals -300ft/1min

it represents the number of feet the airplane descends per minute

What is an equation in point-slope form for the line that passes through the points (4,-1) and (-3,4)?
y-3= (x+4)
y–4= (x+3)
y+4= (x+3)
y+4= (x+3)​

Answers

Point-Slope Form: y + 1 = - 5/7 • ( x - 4 ). Slope intercept form: y = -5/7 + 13/7. The choices you have are incorrect

At the end of June, the rainfall for the year, so far, was 9.9 inches above normal. During the second half of the year, it rained 3.38 inches below normal. What amount of rainfall fell above or below normal for the entire year! Pls hurry! Will mark brainliest.

Answers

Answer:the 3.38 answer

Step-by-step explanation:

Please lmk, thank you.

Answers

Answer:

True

Step-by-step explanation: I gotchu friend

Li enters a competition to guess how many jelly beans are in a jar.
Li’s guess is 345 jelly beans.
The actual number of jelly beans is 300
.What is the percent error of Li’s guess?

Answers

Answer:

15% 15%

Step-by-step explanation:

it was correct for me

The percent error of Li’s guess is 15%

What is the absolute error?

"It is the absolute difference between an observed value and the actual value."

What is the relative error?

"It is the ratio of the absolute error of the measurement to the actual value."

What is the percent error?

"It is the relative error multiplied by 100."

For given example,

Li’s guess is 345 jelly beans.

observed value (E) = 345

The actual number of jelly beans is 300

actual value (A) = 300

So, the absolute error is,

Absolute error = |E - A|

                        = | 345 - 300|

                        = 45

Now, we find the relative error of Li's guess.

Relative error = 45 ÷ 300

Relative error = 0.15

The percent error is,

0.15 × 100 = 15%

Therefore, the percent error of Li’s guess is 15%

Learn more about the percent error here:

brainly.com/question/3670306

#SPJ2

what is 22 over 7 - 2 over 3 divided by 2

Answers

22/7-2/3 divided by 2. first, you would do 2/3 divided by 2, which can be rewritten as 2/3 times 1/2, which is 2/6. 2/6 can be simplified as 1/3. next, you do 22/7-1/3, which is 59/21, or 2 17/21.

90/9 as a whole number

Answers

Answer:

10

Step-by-step explanation:

Six apples and three oranges cost $3.36. Two apples and five oranges cost $3.04. Find the cost of one apple and the cost of an orange.

Answer and step-by-step explanation pls!!

Answers

Answer:

$0.8

Step-by-step explanation:

let x represent the price of apples

let y represent the price of oranges

6x+3y=3.36—eqn 1

2x+5y=3.04—eqn 2

Multiply eqn 2 by 3

3(2x+5y=3.04)=6x+15y=9.12

Subtract eqn 2 from 1

6x+3y=3.36

-{6x+15y=9.12}

-12y=-5.76

y=0.48

plug y=0.48 into eqn 1

6x+3(0.48)=3.36

6x=3.36-1.44

x=1.92/6=0.32

That is, an apple costs $0.32 and an orange costs $0.48

Therefore the cost of an orange and an apple=$0.48+$0.32=$0.8

Answer:

apple: $0.32orange: $0.48

Step-by-step explanation:

Let x and y represent the costs of 1 apple and 1 orange, respectively. The two cost figures tell us ...

  6x +3y = 3.36

  2x +5y = 3.04

We note that all of the numbers in the first equation are divisible by 3, so we can divide by 3 to reduce it to ...

  2x +y = 1.12

Subtracting this from the second equation gives ...

  (2x +5y) -(2x +y) = (3.04) -(1.12)

  4y = 1.92 . . . . . . . simplify

  y = 0.48 . . . . . . . divide by 4

Then the cost of an apple can be found from our reduced equation:

  2x +0.48 = 1.12 . . . substitute for y

  2x = 0.64 . . . . . . . . subtract 0.48

  x = 0.32 . . . . . . . . . divide by 2

The cost of one apple is $0.32; the cost of one orange is $0.48.

_____

Additional comment

The method of solution we used here is called "elimination," because the x-variable was eliminated from the combined equations. There are numerous other methods available for solving a system of linear equations. Most graphing calculators have features for graphing and for reducing matrices that will solve these for you. All you need to do is enter the equations.

PLS HURRY ONLY CORRECT ANSWERS 50 POINTS NEED THIS IN ONE HOUR
Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)

Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)

Part C: Explain how the equations from Part A and Part B differ. (2 points)

Answers

Part A:   70x+50=$250

Part B:   75x-5x+$35=$250

They differ because in Part A they don't lose any money and just gain it, while in part B they lose money, while gaining more in part A.

not 100% sure on Part B

What is the equation in slope intercept form of the line that passes through the points (2,7) and (4,10)?

Answers

Answer:

y = 3/2x + 4

Step-by-step explanation:

First, you find the slope(y1 - y2/x1 - x2) which you can subsitute to 10 - 7/4-2, which will get you 3/2 and you put that in the place of the slope (m). So now our equation is y=3/2x+ y-int, to find the y intercept, there is a method which you can use to find it is to time the x point in a set by the slope, and minus it using the y to find the y intercept. In this case, you time the 2 by 3/2, which will get you 3, and minus it by the y that is 7, and you will get 4

2.5 gallons of water are poured into 5 equally sized bottles. How much water is in each bottle?

Select all the equations that apply.

Group of answer choices

5÷2.5=?

2.5*?=5

5*?=2.5

2.5÷5=?

Answers

First answer : 2
Second answer : 6.25
Third answer : 12.5
Last answer : 0.5

What is the equivalent expression to 0.18 - 22/49

Answers

Answer: -695/2450 or -0.26898
Explanation:

Calculate the values of a, b and c. Give reasons for your answers.
Quickly plsss
50 points

Answers

a = 70°

b = 55°

c = 40°

how do i do all these problems i don't understand surface area?the paper is named volume and surface area of composite figures plz tell me a easy way im in class

Answers

Answer:

gud luk 4 class

Step-by-step explanation:

volume = all the sides times together

surface area = all side's area plus together

PLS ANSWER ASAPP!!

THX

Answers

TanA = 6/8
or 3/4 when simplified

on may 1st, the temperatures of 5 European cities were measured and the results were as it follows

Answers

aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Which statements are true of the line represented by the linear equation y= 1/3 x + 3

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{3}[/tex] x + 3 ← is in slope- intercept form

with slope m = [tex]\frac{1}{3}[/tex]

and y- intercept c = 3

Need help will give brainliest!!

Answers

Answer:

Step-by-step explanation:

zoom factor=1/2

new dimensions=11/2,16/2

or 5.5 ,8

Help Anyone know this

Answers

Answering part A:

5x + -3x    7y + 3y + 2y    4xy doesn't have a like term

Step-by-step explanation:

like terms are when in an equation they might have variables that match like 4y + 7y they have the same variable which is y or 6 + 7 they don't have a variable at all but they are similar in that way. Btw why it says -3x is because I changed the equation to be all addition so I did kcc you don't have to do that if you find a different solution :) anyway lets move on to part b

Answering part B:

4xy + 2x −2y

What is an equation of the line through (0,3) with slope 2/5? 1. -5x+2y=15. 2. -5x-2y=-15 3. 2x-5y=15 4. -2x+5y=15

Answers

Answer:

The answer is 3. 2x - 5y = 15

Step-by-step explanation:

Solve the question will mark branliest and with an explantion

Answers

Answer:

The car loses $5,635 every year. Multiply 24,500 by 23% (0.23)

3. The lengths of 2 ski slopes are 625m and 760m. The horizontal distance from the start of the run to
the end of the run for both slopes is 300m.
a. What is the height of the higher ski slope to the nearest metre?

Answers

3. The lengths of 2 ski slopes are 625m and 760m. The horizontal distance from the start of the run to the end of the run for both slopes is 300m.

a. What is the height of the higher ski slope to the nearest metre?

Enter the numbers in order from greatest to least,
- 14.6, -2.7, -10
please help!!

Answers

Answer:

-2.7, -10, -14.6

Step-by-step explanation:

what is the right answer

Answers

Answer:

C. The third option

Step-by-step explanation:

square root of 3 = 1.73

2/6 = 0.333

254% = 2.54

I hope that this helps!

What is the area of a rectangle with a width of x^2+x+1 and a length of 3x^2-2x-1?

Please help!

Answers

Answer: width= 2x-1 and length= 3x+2

Step-by-step explanation: SOLUTION: Choose a possible dimensions of a rectangle with a width= 2x-1 and length= 3x+2 so that its area is greater than 153cm² a. W= 13 L= 15 b. W= 11 L= 20

plz help im so confused

Answers

Answer:

i dont k if my explanation will help or not

Step-by-step explanation:

but it goes through the crosshairs in the 2nd quadrant at -10 on the y axis and up 6 on the x axis and then you go down 5 over 2

Can somebody help me with this. Thank you.

Answers

Answer:

There wasn’t any question posted

Step-by-step explanation:

The question was not posted, therefore there is no logical way to help you with the question.


A farmer has two tractors. The probability that
tractor 1 will break down is 3% and the
probability that tractor 2 will break down is
5%. What is the probability that both tractors
will break down on a given day? Give your
ansineras

Answers

Step-by-step explanation:

the break down probabilities are for the same given day ? one day ?

if that is so, then the expected value for a break down day for tractor 1 will be 34 days (rounded up 100%/3%), and for tractor 2 20 days (100%/5%).

that would be horrible. a tractor would only work for about a month without major repair.

because normally such probabilities are given for a warranty period like 1 or 3 or 5 years.

but the description does not say anything about that. so, we have to go with the primary assumption.

so, the question is about the probability that both things happen at the same time (the same day).

this is like asking for the probability of rolling a double 6 with two dice - both events (a 6 on a die) have to happen "together". so it is the probability of one event multiplied by the probability of the second event : 1/6 × 1/6 = 1/36

5% = 0.05 (5% is 5 hundredths) = 5/100

3% = 0.03 (3% is 3 hundredths) = 3/100

now both events (break-down of both tractors) happen together means 5/100 × 3/100 = 15/10000 = 0.0015

that means the probability in % is 0.15%

that means in other words, this event (both tractors breaking down on the save day) is expected to happen 15 times in 10000 days, or once every 667 days (or roughly every 2 years).

if f(n) = -6n + 2, find t 5/6

Answers

So you need to add 6n with +2 then 5-7
Other Questions
rewrite the following sentence using imagery to make the description more detailed and specific. it started to rain A desert is very hot during the day and receives very little rain. Which plants will likely survive in this kind of environment?. indicate a bible verse that serves as your guiding principle in your mission in christ salvific action Read the selection and the question, and then choose the option that best answers the question.Si se da usted un golpe en la cabeza, puede escuchar las recomendaciones del doctor:Cudese mejor si quiere sanar.Descanse por dos semanas.Lave la herida bien con agua para no tener picor.No cubra la herida.Based on the text, what material is needed to follow the doctor's advice? Bandage Pills Soap Vaccine Pregunta urgente Que son horiciones? No se si es de biologa o de ciencias Lauren is at a friend's home that is several miles from her home. She starts walking at a constant rate in a straight line toward her home. The expression 2t + 10 gives the distance, in miles, that Lauren is from her home after t hours. Answer the following questions using the information above.a. How many miles away from her house did Lauren start?b. How fast is Lauren moving towards her house?c. Why is the rate negative?d. How far away from her house is Lauren after 4 hours? Question 3 (1 point)Both Hazelwood v Kuhlmeier and Tinker v Des Moines dealt with freedom ofexpressionTrueFalse Describe the geography of Rome and explain how the geography impacted the Romans. A SHORT paragraph on the topic of "summer season is better than winter season" HELP ME I HAVE A DEBATE FOR TODAY Which membrane component is a glycoprotein?DBC The volume of a TV box needs to be 30.000 cubic centimeters. If the length is 10 less than four times the height and the width is less than the height, what is the required height of the box? PLS HELP I was hold h=40cm BUT HOWW? What is the proper definition for abiotic? Which of the following could be the areas ofthe three squares below?A. 12 f12, 16 f12 and 28 f12B. 8912, 16 pt2 and 24 P12C. Both A and BD. Neither A nor B Brian drove 638 miles in 11 hours.At the same rate, how long would it take him to drive 754 miles? what role did yellow journalism play in the spanish american war The USGS and National Weather Service have many sensors collecting data about natural events.That data can be used to create a weather map.Identify the parts of the Input-Process-Output model for each step.(output, input, process): weather map displayed on a web page(output, input, process): determination of color to be used on the map(output, input, process): sensors collect temperature and precipitation data x-1=0 pls answer me I'll give u 10 points Please help geometry question Use the remainder theorem to find P(-3) for P(x) = 2x + 4x+4.Specifically, give the quotient and the remainder for the associated division and the value of P(-3).Quotient= ?Remainder= ?P(-3) = ? Discuss how to enhance the security of a Linux computer in a systematic manner.