A point is moving on the graph of xy = 3. When the point is at (1, 3), its x-coordinate is increasing at a rate of 4 units per second. What is the speed of the y-coordinate at that moment and in which direction is it moving?

Answers

Answer 1

The speed of the y-coordinate at that moment is 12 units per second, and it is moving in the negative y-direction.

What is a graph?

In computer science and mathematics, a graph is a collection of vertices (also known as nodes or points) connected by edges (also known as links or lines).

We can start by taking the derivative of the equation xy = 3 with respect to time t:

x(dy/dt) + y(dx/dt) = 0

Now we can substitute the given information: when the point is at (1, 3), dx/dt = 4. Solving for dy/dt:

(1)(dy/dt) + (3)(4) = 0

dy/dt = -12/1 = -12 units per second

The negative sign indicates that the y-coordinate is decreasing.

So the speed of the y-coordinate at that moment is 12 units per second, and it is moving in the negative y-direction.

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Related Questions

1. If two polygons are SIMILAR, then the corresponding angles must be _____.

2. If two polygons are SIMILAR, then the corresponding sides must be _____.

3. The composition of two (or more) isometries is always ______

4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?

5. A right triangle has a base of 5 ft and a height of 12 ft. A similar triangle has an area of 270 square feet. What are the dimensions of a similar triangle?

Answers

Answer:

1. If two polygons are SIMILAR, then the corresponding angles must be are congruent and corresponding sides are proportional

2.If two polygons are SIMILAR, then the corresponding sides must be proportional

3.The composition of two (or more) isometries is always an isometry

4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?

3

Step-by-step explanation:

two polygons are similar if corresponding angles are congruent and corresponding sides are proportional

If two polygons are SIMILAR, then the corresponding sides must be proportional

The composition of two (or more) isometries is always an isometry

4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?

9/1 = 1/3 so 9/3 = 3

Which ordered pair best represents the coordinates of
a point that could be the third vertex of the right
triangle?
A (5,-5)
B (-4,6)
© (-3,-6)
D (3,4)
PLS HURRY I HAVE A TEST

Answers

A because you have to have one equal positive and negative

Some1 help plzz hurry

Some1 help plzz hurry

Answers

Answer:

Your answer should be A because that is the only one that multiplies them all by 11

HOPE THIS HELPS

-Todo ❤️

Step-by-step explanation:

Find the value of x for which WXYZ must be a parallelogram.

Find the value of x for which WXYZ must be a parallelogram.

Answers

Answer:

\((5x - 4) \degree = (2x + 14)\degree \\ 3x = 18\\ x = 6\)

y=3/4x -1 find the slope and the y intercept PLEASE ALOT OF POINTS

Answers

Answer:

slope 3/4

y intercept -1

Step-by-step explanation:

y=mx+b

m=slope

b=y intercept

Answer:

Slope-3/4

Intercept-(0,-1)

Step-by-step explanation:

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary) 3, 1, 1/3, Find the 7th term

Answers

Answer:

The answer is 0.527

Step-by-step explanation:

I hope this helps, if it doesn't then just message me and ill be more than happy to help :)

Answer:

Step-by-step explanation:

50 Points! Multiple choice algebra question. Photo attached. Thank you!

50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

The angle θ = 90° is not a solution to trigonometric equation sin 2θ = 1. (Right choice: A)

How to solve a trigonometric equation

In this problem we must determine what angle is not a solution of a given trigonometric equation. The solution set is found by means of algebra properties and trigonometric formulas:

sin 2θ = 1

2θ = 90° + 360° · i, where i is a whole number.

θ = 45° + 180° · i

According to this expression, θ₁ = 45°, θ₂ = 225° and θ₃ = - 135° are solutions to this equation. θ = 90° is not a solution of sin 2θ = 1.

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8
According to the Red Cross, about 42% of Americans have Type A blood. Suppose 80
people show up at a typical blood drive.
What's the expected proportion of people who are Type A (p-hat)?

Answers

Answer:

33

hope this helped :)

Given 3 + 7 + 11 + 15 + … find S20

Answers

Answer:

Hi

Please mark brainliest ❣️

Given 3 + 7 + 11 + 15 + find S20

I GIVEE BRAINLILSTT TTTT

I GIVEE BRAINLILSTT TTTT

Answers

Answer:

fgdbnfdbhfdfbfdbdfbdx cmbhk;lk

yigykuk

Step-by-step explanation:

guykgyktylui

Gfy,m;pkoKKbh,uh

KJolKJkjp+

iuik.iJ:L

;

'o99p9;

There are 6 dogs, 2 mice, and 4 cats. Write two sentences that describe a ratio of types of animals in this collection.

Answers

I’m sorry I’m dumb from the head

Answer:

The ratio would be 6:2:4. Dogs, to mice, to cats.

Step-by-step explanation:

hope this helps!!:)

I need help with this please

I need help with this please

Answers

5
if set 50/w equal to 10, then multiply 10 by w, so get rid of the fraction, and 10 times 5 is 50 so the answer is 5

find the x and y intercepts of the following linear function and draw the graph: 2x-8y=-18

Answers

Answer:

Step-by-step explanation:

2x - 8y = - 18

    - 8y = - 2x - 18

         y = ¼x + 2¼

y intercept occurs when x = 0, so b = 2¼  (0, 2¼)

x intercept occurs when y = 0

0 = ¼x + 2¼

¼x = - 2¼

  x = -9     (-9, 0)  

find the x and y intercepts of the following linear function and draw the graph: 2x-8y=-18

Answer correctly for brainlist

Answer correctly for brainlist

Answers

Answer:

Quadrilaterals

Step-by-step explanation:

A teacher supply store is sponsoring a raffle for teachers to win school supplies. The price of a raffle ticket is $1.00. For teachers the raffle tickets are 40% off, while for administrators there is a 10% discount. Ms. Russell purchased a combination of teacher-discount tickets and administrator-discount tickets for a total of 349 raffle tickets for the entire school. If she spent a total of $248.70 on raffle tickets, how many of each type did she purchase?

Answers

Answer:

Admin. tickets: 131

Teacher tickets: 218

Step-by-step explanation:

Let t = the number of teacher tickets

Let a = the number of admin tickets

t + a = 349

.6t + .9a = 248.70  teacher pay 60 cents and admin pays 90 cents.

Solve the first equations for t

t + a = 349

t = 349 -a  Substitute 349 - a for t into the second equation

.6(349 -a) + .9a = 248.70  I want to clear the decimal, so I will multiply through by 10

6 (349 - a) + 9a = 2487  Distribute the 6

6(349) - 6a + 9a = 2487

2094 - 6a + 9a = 2487  Combine like terms

2094 + 3a = 2487  Subtract 2094 from both sides

3a = 393  Divide both sides by 3

a = 131  This is the number of admin tickets purchases.

Plug 131 for a into either of the first two equations

t + a = 349

t + 131 = 349  Subtract 131 from both sides of the equations

t = 218

The purchase for teachers $130.8 and for administrators $117.9.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the number of teacher be x.

So, for Teacher after discount raffle tickets will be 0.60x

and, for administrators after discount raffle tickets will be 0.90(349-x)

Now, Total spent on raffle tickets=$248.70

248.70 = 314.1 - 0.9x + 0.6x

-65.4 = -0.3x

x= 218

Thus, for teachers $130.8 and for administrators $117.9

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please help quickly!!

Graph the equation on the coordinate plane . y = 1/4x - 2 Select two points on the line to graph the line.​

Answers

Answer:

Draw a diagonal line through the points (0,-2) and (8,0) as the graph represents below.

Step-by-step explanation:

First thing first, to graph this equation, as the question specifies, we should find two points. The easiest points to find are the x and y intercepts. We can easily find the y intercept as our equation is in slope-intercept form (y=mx+b, where b is the y intercept). Therefore, our y intercept is -2 and the point that we can plot is (0,-2). Next, we can find our x intercept by solving the equation for x when y is equal to 0.

1) Substitute 0 for y. 2) Add 2 to both sides of the equation. 3) Divide both sides of the equation by 1/4.

\(y = \frac{1}{4}x -2\\\\0=\frac{1}{4}x-2\\\\2=\frac{1}{4}x\\\\8=x\\\\x=8\)

Having solved for x, we now know that the x intercept of the graph is the point (8,0).

Now we can plot these points and draw a diagonal line through the points, and we should get a graph that looks like this:

please help quickly!!Graph the equation on the coordinate plane . y = 1/4x - 2 Select two points on the

Multiply.
(2x+6)²

NEED ANSWER ASAPP

Answers

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

Which point would NOT be a solution to the system of linear inequalities shown below?

Which point would NOT be a solution to the system of linear inequalities shown below?

Answers

It's asking  would not be a solution soo

(-10, -9) as you can see

You're welcome thank me later

Which point would NOT be a solution to the system of linear inequalities shown below?

Find the rank of the matrix [
2 − 1 − 3 − 1
1 2 3 − 1
1 0 1 1
0 1 1 − 1
]

Answers

The rank of the matrix is 3, since there are three linearly independent rows.

The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. It is denoted by the symbol "rank(A)" for a matrix A.

To find the rank of the matrix:

[-2, -1, -3, -1] [ 1, 2, -3, -1] [ 1, 0, 1, 1] [ 0, 1, 1, -1]

We can perform row operations to reduce the matrix to row echelon form, which will help us determine the rank.

\(R_2 = R_2 + 2R_1 R_3 = R_3 + 2R_1 R_4 = R_4 + R_2\)

This gives us the following matrix:

[-2, -1, -3, -1] [ 0, 0, -9, -3] [ 0, -1, -1, 1] [ 0, 0, -4, -4]

We can see that the third row is not a linear combination of the first two rows, and the fourth row is not a linear combination of the first three rows. Therefore, the rank of the matrix is 3, since there are three linearly independent rows.

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If ab and cd are congruent what is the measure of chord ab

If ab and cd are congruent what is the measure of chord ab

Answers

Answer:

the measure of cord AB will be same as cord CD that is 21 units

because these both are congruent

One adult ticket for a school play cost $10 and one student ticket cost $6. One evening 750 people attended the play and the total receipts were $6860 how many of each type of ticket were sold a full algebraic a solution is required

Answers

Given:

Adult ticket cost = $10

Student ticket cost = $6

Total people = 750 people

Total amount = $6860

Find-:

How many of each type of ticket were sold

Explanation-:

Let student is "x."

The adult is "y."

The total people is 750 people,

\(\begin{gathered} \text{ Total people }=750\text{ people} \\ \\ x+y=750..............(1) \end{gathered}\)

The total amount is $6860

\(\begin{gathered} 6x+10y=6860 \\ \\ 3x+5y=3430.................(2) \end{gathered}\)

Solve the equation is:

\(\begin{gathered} x+y=750 \\ \\ 3x+3y=2250.......................(1)^{\prime} \end{gathered}\)

Then eq(2) - eq(1)' then value of "y" is:

\(\begin{gathered} 3x+5y-(3x+3y)=3430-2250 \\ \\ 3x+5y-3x-3y=3430-2250 \\ \\ 2y=1180 \\ \\ y=\frac{1180}{2} \\ \\ y=590 \end{gathered}\)

Adult member is 590

Student ticket is:

\(\begin{gathered} x+y=750 \\ \\ x+590=750 \\ \\ x=750-590 \\ \\ x=160 \end{gathered}\)

The number of students is 160.

Find the slope of the line:

Find the slope of the line:

Answers

Answer:

-5/6

Step-by-step explanation:

y1-y2

x1-x2

3+2

-3-3

-5/6

7515.904 rounded to nearest tenth

Answers

Answer:

7515.9

Step-by-step explanation:

Tenth is basically like 1 decimal point.

0-4 round dowm 5-9 round up

solve pls brainliest

solve pls brainliest

Answers

Answer:

4/12 > simplified to > 1/3

Step-by-step explanation:

hope it helps

karla is offered a job as parking lot attendant. the job will pay 2400 per month, paid biweekly. along with the base salary, the company offers to pay half the cost of medical insurance and will match karlas contribution to a retirment plan up to a total of 1500. if the full cost of the medical insurance is 450 a month and karla plans to contribute the full 1500 every year tpa retirement plan, what is the actual annual value of this job to karla?

Answers

The actual annual value of this job to Karla is 33000.

What are arithmetic operations?

Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.

We have,

the job will pay 2400 per month,

if the full cost of the medical insurance is 450 a month and Karla plans to contribute the full 1500 every year tpa retirement plan,

the actual annual value of this job to Karla is:

2400 per month

annual value  = 2400 * 12 = 28,800

the medical insurance is 450 a month

half the cost of medical insurance is  225 a month

annual value  = 225  * 12 = 2700

the full 1500 every year tpa retirement plan,

So, the total value is:

= 28,800 + 2700 + 1500

= 33000

Hence,  the actual annual value of this job to Karla is 33000.

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Please Help
this is math, PLEASE HELP

Please Help this is math, PLEASE HELP

Answers

A statement of order that shows the relation of the in-town speed limit to the highway speed limit is that the in-town speed limit is less than or equal to 30 and the highway speed limit is less than or equal to 60.

What is a number line?

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.

The rules for writing an inequality.

In Mathematics, these four rules are generally used to write an inequality:

When the arrow points to the right on a number line, the inequality is either (≥ or >).When the arrow points to the left on a number line, the inequality is either (≤ or <).The circle/dot on a number line should be filled when the inequality symbol is (≥ or ≤).The circle/dot on a number line should not be filled when the inequality symbol is (> or <).

Now, we would apply the aforementioned inequality rules to write the solution to the compound inequality shown in the graph above:

30 ≤ x ≤ 60.

In conclusion, x represent the speed limit for in-town and highway.

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Please Help this is math, PLEASE HELP

Find the surface area of the rectangular prism.
6 yd
3 yd
1 yd

Answers

Answer:

  54 yd²

Step-by-step explanation:

The surface area of the prism is the sum of the areas of its faces. Opposite faces have the same area, so we can write the formula as ...

  SA = 2(LW +WH +LH) = 2(LW +H(L +W))

Filling in the numbers, we have ...

  SA = 2(6·3 +1(6 +3)) = 2(18 +9) = 54 . . . . square yards

The area is 54 square yards.

A cereal box has dimensions of 12 inches, (7)3/4 inches, and 2 inches. A pastry box has a dimensions of (3)2/3 inches, (3)1/2 inches, and (2)1/3 inches. What is the difference in volume, cubic inches, between the two boxes. show your work

Answers

The difference in volume between the two boxes would be = 156in³

How to calculate the difference in volume between the boxes?

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

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How do you solve this??

21 a(little 6) b(little 5)
————————————
7 a(little 3) b

Answers

\((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

To solve this problem

We can use the rules of exponents and simplify the terms with the same base.

Dividing the coefficients: 21 / 7 = 3.

For the variables, you subtract the exponents: \(a^6 / a^3 = a^(^6^-^3^) = a^3.\)

Similarly,\(b^5 / b = b^(5-1) = b^4\).

Putting it all together, the simplified expression is:

\(3a^3b^4.\)

Therefore, \((21a^6b^5) / (7a^3b)\) simplifies to \(3a^3b^4.\)

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ratio of 5/20 to 9/20

Answers

Answer:

5:20 to 9:20

Step-by-step explanation:

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