Suppose that x = x(t) and y = y(t) are both functions of t. If x^2 + y^2 = 25, and dx/dt = 2 when x = 3 and y = 4, what is dy/dt?

Answers

Answer 1

Answer:

dy/dt = -3/2

Step-by-step explanation:

x² + y² = 25

2x dx/dt + 2y dy/dt = 0

x dx/dt + y dy/dt = 0

3 * 2 + 4 dy/dt = 0

so

dy/dt = -6/4 = -3/2


Related Questions

three times y is less than or equal to half of x can be written

Answers

Answer:

3y ≤ 1/2x

Step-by-step explanation:

please give brainliest!!

3 times y is less than or equal to half of x can be written as 3y ≤ x/2 or x ≥ 6y.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given that,

three times y is less than or equal to half of x can be written.

Three times y means that 3 is multiplied to y.

Half of x means that x is multiplied to 1/2.

This is an inequality expression.

We can write it as,

3y less than or equal to x/2.

3y ≤ x/2

Multiplying both sides by 2,

6y ≤ x

or x ≥ 6y

Hence the inequality expression is x ≥ 6y.

Learn more about Inequality Expressions here :

https://brainly.com/question/17356086

#SPJ7

A copy machine makes 24 copies per minute. How many copies does it make in 5 minutes and 15 seconds?

Answers

Answer: it makes 126 copies

Explanation:

15/60=6/24

5x24=120

6+120= 126

36. Find m2 in isosceles trapezoid ABCD.
Given: m A = 60

Answers

Answer:

120

Step-by-step explanation:

Isosceles trapezoids have supplementary opposite angles

180 - 60 = 120

Both angle D and angle C are 120

What is the slope of the line that passes through the points (−10,−8) and (−9,−8)? Write your answer in simplest form.

Answers

Answer:

slope=0

Step-by-step explanation:

The required slope of the line is zero which implies that the given line is parallel to the x-axis.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,
The slope of the line that passes through the points (−10,−8) and (−9,−8) is given as,

m = (y₂ - y₁) /  (x₂ - x₁)

Substitute values in the above equation,
m = -8 + 8 / -9 +10
m = 0

Thus, the required slope of the line is zero which implies that the given line is parallel to the x-axis.

Learn more about slopes here:

https://brainly.com/question/3605446

#SPJ2

What is the currency of Denmark?

Answers

Answer:

D a n I s h K r o n e ...........

I Think The Answer Is krone

One and Two step equations Escape Room.: The teeth on this key are busted. Now they must be readjusted. Find the code.

Answers

The code for Escape Room is MCYHW.

Inequalities

Inequalities is a mathematic expression that do not present equalitiy between both sides. It is represented by symbols: <, , > and .

For solving this exercise, firstly, you should solve the inequalities identified by letters: H, W, M, Y and C. After that, you should relate yours anwers with the options given for the exercise.

Inequality H

                       [tex]-11x-4 > -15\\ \\ -11x > -15+4\\ \\ -11x > -11\; *(-1)\\ \\ 11x < 11\\ \\ x < 1[/tex]

Therefore, you should connect H with x<1.

Inequality W

                       [tex]32 > -16x\\ \\ Rewriting \\ \\ -16x < 32 \\ \\ -16x < 32\; *(-1)\\ \\ 16x > -32\\ \\ x > \frac{-32}{16} \\ \\ x > -2[/tex]

Therefore, you should connect W with x>-2.

Inequality M

                       [tex]3+x\leq -9\\ \\ x\leq -9-3\\ \\ x\leq -12[/tex]

Therefore, you should connect M with x≤-12.

Inequality Y

                       [tex]-7x+7\leq -56\\ \\-7x\leq -56-7\\ \\ -7x\leq -63\\ \\ -7x\leq -63\; *(-1)\\ \\ 7x\geq 63\\ \\ x\geq \frac{63}{7} \\ \\ x\geq 9[/tex]

Therefore, you should connect Y with x≥9.

Inequality C

                       [tex]-20\geq -5x+15\\ \\Rewriting\\ \\ 5x+15\leq -20\\ \\ -5x\leq -20-15\\ \\ -5x\leq -35\\ \\-5x\leq -35\; *(-1)\\ \\ 5x\geq 35\\ \\ x\geq \frac{35}{5} \\ \\ x\geq 7[/tex]

Therefore, you should connect C with x≥7.

Thus, the sequence is:

M - [tex]x\leq -12[/tex]

C - [tex]x\geq 7[/tex]

Y- [tex]x\geq 9[/tex]

H- [tex]x < 1[/tex]

W- [tex]x > -2[/tex]

Read more about inequalities here.

https://brainly.com/question/25275758

Show how to solve \/2x+1-4=-1

Answers

Answer: X=5/8

Step-by-step explanation:

2*x-1/4-(1)>0

Step 1 Simplify: 1/4

(2x-1/4)-1>0

Step 2 Rewrite the whole number in an equivalent fraction:

(Subtract a fraction from a whole)

2x=2x/1=2x*4/4

Adding Fractions that have a common denominator:

2x*4-(1)/4=8x*1/4

The equation at the end of step 2:

(8x-1)/4-1>0

Step 3 Rewrite the whole as an equivalent fraction:

1=1/1=1*4/4

Adding Fractions that have a common denominator:

(8x-1)-(4)/4=8x-5/4

The equation at the End of Step 3:

8x-5/4>0

Step 4:

Multiply both sides by 4 then Divide both sides by 8.

So the answer is

x>5/8

I know it seems a lot but it's just the way I learned it. I hope you understand.

A room is 12 feet long, 14 feet wide, and 11 feet high. The walls, ceiling, and floor are all to be painted the same color. How many square feet must be covered with paint?

Answers

Answer:

908 feet²

Step-by-step explanation:

To paint walls, we will be looking for surface area.

      Since this is a room and we have three measurements, we can assume there will be the floor, the ceiling, and four walls. This means we will be looking for 6 sides in total.

-> See attached for a diagram I made of the sides we need

-> Keep in mind opposite pairs of walls will be the same, and the floor and ceiling will be the same.

     

      We end up with the following sides:

          11 * 12

          11 * 12

          11 * 14

          11 * 14

          12 * 14

          12 * 14

      We can simplify this to the following:

(2(11 * 12)) + (2(11 * 14) + (2(12 * 14) = 908 feet²

908 feet² must be covered with paint.

What fraction with a denominator of 100 is equivalent to 0.43?

Answers

Answer:

[tex]\frac{43}{100}[/tex]

Step-by-step explanation:

Think of it as a percentage. 43% is [tex]\frac{43}{100}[/tex] , but it is also 0.43. Any number over 100 will be put into a similar decimal format ([tex]\frac{12}{100}[/tex] = 0.12  and [tex]\frac{4}{100}[/tex] = 0.04)

The fraction with a denominator of 100 is equivalent to 0.43 is,

[tex]\frac{43}{100}[/tex].

Here,

We have to find fraction with a denominator of 100 is equivalent to 0.43.

What is Fraction?

A fraction is used to represent the portion/part of the whole thing.

Now,

Let a fraction with a denominator of 100 is [tex]\frac{x}{100}[/tex].

And, its equivalent to 0.43.

Hence,

[tex]\frac{x}{100} = 0.43[/tex]

[tex]x = 43[/tex]

So, A fraction with a denominator of 100 is [tex]\frac{43}{100}[/tex].

Which is equivalent to 0.43.

Learn more about the Fraction visit:

https://brainly.in/question/5112127

#SPJ2

I’m having trouble understanding this can someone help please and thank you

Answers

When it is asking you to solve a system of equations, it means that it wants you to find the value of the variables, in this case, x and y.

3x + 2y = 1  -- equation 1

y = x - 12 -- equation 2

Put (equation 2)'s value of y into (equation 1)

3x + 2(x-12) = 1

3x + 2x - 24 = 1

5x - 24 = 1

5x = 25

x = 5 -- equation 3

Put (equation 3)'s values of x into (equation 2)

y = 5 - 12 = -7

Thus the solutions are x = 5 and y = -7 and we have solved the system of equations.

Hope that helped!

The tree diagram represents an
experiment consisting of two trials.

Answers

The probability defined as P(A and C) is the probability of P(A) × P(B) = (0.6 × 0.3) = 0.18

The probability of A ; P(A) from the tree diagram is 0.6

The probability of B ; P(B) from the tree diagram is 0.3

The probability, P(A and B) equals ;

P(A) × P(B) = 0.6 × 0.3 = 0.18

Therefore, probability of A and B is 0.18

if 9 is added to a number x the result is greater than 17. Find the range of values of x

Answers

The solution of inequality shows that the range is x >8.

Domain and Range

The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined.

While the domain is related to the values ​​of x, the range is related to the possible values ​​of y that the function can have.

Inequalities

Inequality is a mathematical expression that does not present equality between both sides. It is represented by symbols: <, , > and .

For solving this question, you should convert the text of the problem into an algebraic expression. Consequently, you will have:

                                           x+9 > 17

                                           x > 17-9

                                           x > 8

Therefore, the range is x>8.

Learn more about the range here:

https://brainly.com/question/10197594

What is the measure of angle B in the triangle?

Answers

Answer:

22°

..........

......

......

.....

.....

......

answer thissss pleaseee

Answers

Answer:45 degree angle

Step-by-step explanation: am smart

answer: angle J equals 80°
explanation:

find the volume of this prism 8cm 9cm 11cm

Answers

Answer:

792 cm

Step-by-step explanation:

8*9*11=792

72*11=792

72+720=792

Answer:

The answer is 396 i hope it helps!

Find the value of x for the triangle.

Answers

Answer:

Step-by-step explanation:

8x + 2 + 70 + 60 = 180   {angle sum property of triangle}

8x + 132 = 180

         8x = 180 -132

        8x = 48

        x = 48/8

x = 6

Answer:

x = 6

Solution:

Here, we are given a triangle with 2 of its angle , the third angle is in the form of variable equation .

We will use the angle sum property of triangle to find the value of variable i.e x in the given triangle.

Here,

∠A = 70°

➙ ∠B = 60°

➙ ∠C = 8x + 2

Angle sum property

It states that the sum of all angles of a triangle is 180°

‎ㅤ‎ㅤ‎ㅤ➙ ∠A + ∠B + ∠C = 180°

‎ㅤ‎ㅤ‎ㅤ➙ 70° + 60° + ∠C = 180°

‎ㅤ‎ㅤ‎ㅤ➙ 130° + ∠C = 180°

‎ㅤ‎ㅤ‎ㅤ➙ ∠C = 180° - 130°

‎ㅤ‎ㅤ‎ㅤ➙ ∠C = 50°

‎ㅤ‎ㅤ‎ㅤ➙ 8x + 2 = 50 ‎

‎ㅤ‎ㅤ‎ㅤ➙ 8x = 50 - 2

‎ㅤ‎ㅤ‎ㅤ➙ 8x = 48

‎ㅤ‎ㅤ‎ㅤ➙ x = 48 / 8

ㅤ‎ㅤ‎ㅤ➙ x = 6

The number of eggs in the refrigerator e decreased by 5 equals 18

Answers

Answer:

I think its 5e = 18

I hope this helped! :)

Answer:

23 eggs

Step-by-step explanation:

e-5 = 18

e = 18+5

=23


What is the classification of the pair of angles shown
34°
146°

Answers

They are supplementary angles.

What is the ratio 2 1/7 to 3 4/7 as a simplified fraction?

Answers

2 1/7 = 15/7
3 4/7 = 25/7

Ratio = 15/7 : 25/7 = (15/7) / (25/7)
= 15/7 x 7/25
=15/25
=3/5
=3:5

Answer = 3:5

from 1-50, How many
Of them are perfect
numbers:

Answers

Answer:

2 of them are perfect numbers and they are 6 and 28

Step-by-step explanation:

because they are one of the first 5 perfect numbers!

Hope this helps :)

$10,000 is compounded quarterly at 12% interest for t years. What expression represents the amount of money after t years?

Answers

Answer:

12%

Step-by-step explanation:

The ratio 6 to 24 is equivalent to what ratio?

Answers

It’s 1:6 or 1 to 6 as both the number are divisible by 6

Write two Equivalent ratios 7/8

Answers

Answer:

14/16? is this correct or would it be 3.5/4. Also what kind of Math is this.

Step-by-step explanation:

The Sum of a number and two times a smaller number is 62. Three times the bigger number is C the smaller number by 116 the bigger number is? The smaller number is?

Answers

Answer:

x = 10

y = 42

Step-by-step explanation:

The sum of a number and two times a smaller number is 62

2x+y=62

so y=62−2x

Three times the bigger number exceeds the smaller number by 116

x+116=3y

substitute for y:

x+116=3(62−2x)

x+6x=186−116

7x=70

x=10

3y=10+116=126

#y = 126/3 = 42

Find the degree of the monomial: 18x^6y^2

Answers

Answer:

8

Step-by-step explanation:

Exponent of x = 6

Exponent of y = 2

Degree of the monomial = 6 + 2 = 8

PLEASE HELP IM RUNNING OUT OF TIME

Answers

Answer:

the answer is 160 that the answer

f(x)=x/3-2 g(x)=3x^2+2x-6 (f+g)(x)

Answers

Answer:

Hope it helps bhhhhbbbbbbhb

3 1/2 is to 5 as X is to 15

Answers

Answer:

Answer:

[tex]x = 10.5[/tex]

Solving steps:

3 1/2 = 5, x = 15

divide 3.5 by 5

=> 0.7

0.7 by 15

=> 10.5

The correct answer is 10.5 I think someone answered already

1. Find the x- and y-intercept of the line. (1 point)
x - y = 12

Answers

The x-intercept is when the value of the y-coordinate is 0.

   [tex]x - 0 = 12\\ x = 12[/tex]

Thus the x-intercept is at (12,0).

The y-intercept is when the value of the x-coordinate is 0

   [tex]0-y=12\\y = -12[/tex]

Thus the y-intercept is at (0,-12)

find the area of each figure in square units. show your work and explain how you got the answer.​

Answers

Answer:

28 square units or 28 units^2

Step-by-step explanation:

Other Questions
46 is what percent of 69? What are the three stages of development of a hurricane. HUMAN GROWTH AND DEVELOPMENT 100 POINTSConsider the following scenario. Which of the following would be most effective in helping Marlene and Dave derive more satisfaction from their marriage? Marlene and Dave are in their early fifties. One of their children still lives at home. He is a recent college graduate who is well adjusted, but low on income. Marlene and Dave live comfortably and put aside a little money for retirement, but they are far from wealthy. Both put in forty hours a week at their jobsMarlene as a teacher and Dave as a construction worker. Lately they do not feel as happy with their marriage. They do not fight a lot, but they do not feel connected. A. pursue a shared hobby or interest pursue a shared hobby or interestB. adopt or take in foster children adopt or take in foster children C. invest money invest moneyD. tell their son to move out Subtract: (4x5 + 8x5 + 3x) from (3x2 + 6x2 + 9x) In an RPG game, each player has 9 talent points, and they can allocate those points into 18 unique talents. How many different arrangements of talent points are there? Snowdonia is a small country which produces wrought iron and cheesecakes and is experiencing fixed capacity growth in year 1. 1. Which part of the business cycle is Snowdonia in?a. Recoveryb. Peakc. Troughd. Recession2. Fixed capacity growth is demonstrated on the graph as a movement from point ___________ to point ____________. 3. Longrun growth in Snowdonia would be illustrated on the graph as a movement from point ___________ to point ___________. WORD BANK (Q2 & Q3)- Point A- Point B- Point C what is the expanded form of 648.297? is y=10x^2 a linear equation What municipalities and Municipal Corporation do? Write the equation given the point 4,2 and slope 1/2 How did Japanese expansion under Hideki Tojo affect Japan?A. Japan defeated its hostile neighbors but greatly slowed itseconomic growth.B. Japan secured valuable territory in Europe but spread its armiesextremely thin.C. Japan became the dominant power in East Asia but violated itstreaty with Nazi Germany.O D. Japan gained access to natural resources but moved towardtotalitarianism. HELP PLEASE HELP HELP f(x) = 1 / x + 2 - 4 (-1.5 , ___) (-1 , ___) 0, ___)(-3, ___)(-2.5, ___) (-4 , ___) describe the goals of maximum sustainable yield management, ecosystem based management, and adaptive management. list a drawback of each What events led to an increased sense of nationalism during the early 1800's? Determine if true:8^3 divided by 2=250 a bag contains blue and red cubes 3/11 of the cubes are blue what is the ratio of blue to yellow?? Make x the subject of What is the difference between mass and weight? Which line is a line of symmetry for the figure below?A. Line AB. Line CC. Line BD. Line D Using LIFO, the cost of goods sold for the sale of 23 units on August 30 is ____ and the inventory balance at August 30 is _____.