The point P (x, y) is moving along the curve y = x² -10/3 x^3/2+ 5x in such a way that the rate of change of y is constant.
Find the values of x at the points at which the rate of change of x is equal to half the rate of change of y.

Answers

Answer 1

Answer:

To find the points where the rate of change of x is half the rate of change of y, we need to solve the equations:

   dy/dx = k

   dy/dt = k

where k is a constant representing the rate of change.

Step-by-step explanation:


Related Questions

what is the fraction form of .8

Answers

i believe its 4/5 :)

Emily grows flowers on part of her 2-acre farm. Her house
and barn cover half an acre, her vegetable gardens cover
1 1/4 acres, and her flower garden covers the rest of her
farm. She divides the flower garden into 16 equal-sized
plots and puts 4 kinds of flowers in each plot.
How large is each plot of flowers in Emily's garden?

Answers

Answer:

1/64 for each type f flowe

Step-by-step explanation:

What is 6 ( 8 + w). Use the distributive property to remove the parentheses.

Answers

Answer:

42 + 6w

Step-by-step explanation:

Basically,

6(8+w) is 6 x (8+w)

OR 6(8) + 6(w)

Hence 42 + 6w

Using the distributive property you would multiply the number outside of the parentheses by everything inside the parentheses. So 6 x 8 and 6 x w.

6 x 8= 48 6 x w=6w

Final answer: 48 + 6w

How to find the missing remote angle

Answers

The answer is 70 for this

The area of a rectangle Is 52 ft?, and the length of the rectangle is 5 ft less than twice the width. Find the dimensions of the rectangle. ​

Answers

Let x = width. Then, length = 2x - 5

x(2x - 5) = 52

2x2 - 5x - 52 = 0

(2x - 13)(x + 4) = 0

x = 6.5 or x = -4

Since x can't be negative, x = 6.5

width = x = 6.5 feet
length = 2x - 5 = 8 feet

Huh! Its me DaBaby and i need your help with this question. Yeah Yeah!

Answers

Answer:

the third one is the correct answer

[tex]b { }^{ - 16} [/tex]

Step-by-step explanation:

hope the helps

Answer:

b to power of -16

Step-by-step explanation:

The equation has a solution of x = 5.



What is the value of k?

k =

Answers

Answer:

K=  -11

Step-by-step explanation:

Enter your answer in the box.
Find the value of the expression 4d - C + 3 when c = 3 and
d = 6.

Answers

Answer:

4d - c + 3

4(6) - 3 + 3

24 - 3 + 3

24

Step-by-step explanation:

24

Hope this helps :T

Help what is 3 1/2 divided by 8

Answers

Answer I got was 2.28

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=-16x^2+161x+108
y=−16x
2
+161x+108

Answers

Answer:

5.03secs

Step-by-step explanation:

Given the height reached by the rocket expressed as;

y = -16x^2 + 161x + 108

The rocket reaches it max height when its velocity is zero

Velocity is expressed as;

V(x) = dy/dx  = 0

dy/dx = -32x + 161

0 = -32x + 161

32x = 161

x = 161/32

x = 5.03

Hence it will take 5.03secs for the rocket to reach its maximum height

Each month, 8 magazines arrive at Sydney's home. Write an equation that would show the number of motnths (n) it took for Sydney to receive 56 magazines.
btw this is multiple choice so this is the choices
A. 56n=8
B.n+8=56
C.8n=56
D.56-n=8
help me asap​

Answers

C.
Since 8 magazines are areiving each month (n) and the total is 56, all you have to do is multiply 8 by n and you get 56, the actual answer would be 7 though.

Answer:

C.8n=56

Step-by-step explanation:

What’s the area of this polygon? Need to show work.

Thank you!

Answers

Step-by-step explanation:

area of traingle formed on right= 1/2*base*height

=1/2*5*6

= 15mi²

CONVERT THE PERCENTAGES FRACTION 140%​

Answers

Answer:

7/5 simplified

Step-by-step explanation:

Its 7/5 Trust

Brainliest please!

Answer:

14/10 or 7/5

Step-by-step explanation:

Write the inequality for the description. Use x as your variable.
Mary has at least 14 pairs of shoes in her closet.​

Answers

Answer:

x≤14

Step-by-step explanation:

≤ = greater than/equal to(at least)


It costs $29.50 to enter an amusement park and $0.25 to ride a ride. You have $30. Write an equation that represents the number of rides you can ride.

Answers

Answer: 120.

Step-by-step explanation: $30 divided by $0.25

29.50-30=.50 .50/.25=2 you can ride 2 rides

Help......................

Answers

7 is the answer. hope this helps!
the answer is 7, have a good day and good luck

A basket had 15 mangoes. A monkey came and took
away two-fifths of the mangoes. How many mangoes
were left in the basket

Answers

Answer: There are 9 mangoes left in the basket.

Step-by-step explanation:

(2/5) * 15 = 6.

15 - 6 = 9.

help me please i dont know what to do

Answers

Answer:

x = 14.4

Step-by-step explanation:

First of all, the triangle has three sides, so let's use hero's formula to find the area.

A = √[p(p - a)(p - b)(p - c)]

Where;

a, b and c are the 3 given sides of the triangle and;

p = (a + b + c)/2

p = (18 + 30 + 24)/2

p = 72/2

p = 36

Thus;

A = √(36(36 - 18)(36 - 30)(36 - 24))

A = √46656

A = 216 Sq.units

Now, we also know from general formula of a triangle that;

A = ½bh

Where;

b is base and h is height

In the given image;

b = 30

h = x

Thus;

½ × 30 × x = 216

Rearranging, we have;

x = 216 × 2/30

x = 14.4

LOOK AT THE PHOTO PLEASE

Answers

Answer:

The answer to the question provided is 4.

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: \: \: 9x + 4 = 5x + 20 \\ \frac{ - 5x = - 5x}{4x + 4 = 20} \\ \frac{ \: \: \: \: \: \: \: \: - 4 = - 4}{ \frac{4x}{4} = \frac{16}{4} } \\ x = 4[/tex]

[I apologize if the answer to the question is inaccurate]

PLEASE ANSWER ASAP DUE IN 2 MIN WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!
PLEASE ONLY ANSWER PART B

Answers

Answer/Step-by-step explanation:

Part A:

(6x + 2)° + (8x + 6)° + (7x + 4)° = 180° (angles in a straight line)

Solve for x

6x + 2 + 8x + 6 + 7x + 4 = 180

Add like terms

21x + 12 = 180

21x + 12 - 12 = 180 - 12

21x = 168

21x/21 = 168/21

x = 8

Part B:

Method 1:

m<CFD + m<CFB + m<BFA = 180° (Angles in a straight line)

m<CFD + (6x + 2)° + (8x + 6)° = 180° (substitution)

Plug in the value of x

m<CFD + 6(8) + 2 + 8(8) + 6 = 180

m<CFD + 48 + 2 + 64 + 6 = 180

m<CFD + 120 = 180

m<CFD + 120 - 120 = 180 - 120

m<CFD = 60°

Method 2:

m<CFD = m<AFE (vertical angles are congruent)

m<CFD = (7x + 4)° (substitution)

Plug in the value of x

m<CFD = 7(8) + 4

m<CFD = 60°

Lydia would like to have cake and pizza at her party the cake will cost $23, each pizza cost $15.00 the total budget for the food at her party is $75 what are the number of pizzas she can get and what is the equation and define your variable

Answers

Answer:

20

Step-by-step explanation:

fw3f2f3sf a

What is the cardinality of
the set A={a,e,i,o,u}

Answers

Answer:

n(A) = 5

Step-by-step explanation:

The cardinality of a set is the total number of elements in the set

Given the set

A = {a,e,i,o,u}

The total number of letters we have in the set is 5 i.e. a, e, i ,o and u. Hence the cardinality of the set A is 5. This can also be written as n(A) = 5

please help i don't even where to start

solve for x​

Answers

The radius is 10, so the diameter is 20. This means the parts of the diameter (the chord through the center P) to the left and right of the vertical chord have lengths 16 and 4, respectively.

Because the horizontal chord is a diameter, the vertical chord is cut in half, so its parts above and below the diameter both have length x.

Now, by the intersecting chord theorem,

16×4 = x × x

or

x ² = 64

so that

x = 8

please help me fast! thanks​

Answers

Answer:

the answer is 15

Step-by-step explanation:

Just add

Answer:

15 grams

Step-by-step explanation:

helppppppppppppppppp

Answers

Answer:

x[tex]\leq[/tex]1

Step-by-step explanation:

A tennis tournament has 342 players. A single match involves 2 players. The winner of a match will play the winner of a match in the next round, whereas losers are eliminated from the tournament. The 2 players who have won all previous rounds play in the final game, and the winner wins the tournament. What is the total number of matches

Answers

Answer:

341 matches

Step-by-step explanation:

Given

[tex]Players = 342[/tex]

[tex]Match = 2\ players[/tex]

Required

Total number of matches.

The total number of matches is calculated by getting the number of matches in each round.

i.e.

[tex]Matches = \frac{Players}{2}[/tex]

So, we have:

Round 1

[tex]Matches = \frac{342}{2} = 171[/tex]

Round 2

[tex]Matches = \frac{171}{2} = 85\ R\ 1[/tex] [R 1 means remainder 1]

Round 3

[tex]Matches = \frac{85 + 1}{2} = \frac{86}{2} = 43[/tex]

[The remainder is added to each round]

Round 4

[tex]Matches = \frac{43}{2} = 21\ R\ 1[/tex]

Round 5

[tex]Matches = \frac{21+1}{2} = \frac{22}{2} = 11[/tex]

Round 6

[tex]Matches = \frac{11}{2} = 5\ R\ 1[/tex]

Round 7

[tex]Matches = \frac{5+1}{2} = \frac{6}{2} =3[/tex]

Round 8

[tex]Matches =\frac{3}{2} = 1 + 1[/tex]

Round 9

[tex]Matches = \frac{1+1}{2} =\frac{2}{2} = 1[/tex]

So, the total is:

[tex]Total = 171 + 85 + 43 +21 + 11 + 5 + 3 + 1+1[/tex]

[tex]Total = 341[/tex]

Help me with this pls

Answers

Answer:

x=65 degrees

Step-by-step explanation:

It's a right angle because a line is equal to 180* and one side is a right angle so the other is one as well so 90*-25*=65*

What is the area of the shaded region below in factored form?

Answers

Answer:

D) 4(x - 6)(x + 1)

Step-by-step explanation:

(2x - 5)(2x - 5) = 4x² - 20x + 25

7(7) = 49

4x² - 20x + 25 - 49

4x² - 20x - 24

4(x² - 5x - 6)

4(x - 6)(x + 1)

Sumita buys a set of earphones for £12.17.
She pays with £15.
How much change does she get?
Give your answer in £.​

Answers

Answer:

2.83

Step-by-step explanation:

Please give brainliest

Answer:

2.83

Step-by-step explanation:


5. What is the volume of the triangular
prism?
a) 480 cm3
b) 192 cm3
c) 240 cm
d) 384 cm3

Answers

Answer:

B

Step-by-step explanation:

The volume of a prism is the area of the cross section x length

The area of the cross section:

Area of a triangle = [tex]\frac{base * height}{2}[/tex]  so [tex]\frac{6*4}{2} = 12[/tex]

12 x 16 = 192 so B

Answer:

Step-by-step explanation:

Other Questions
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Under the arrangement iSoftCloud is required to repay the following amounts: $1.0 million on December 31, 2025, $1.4 million on December 31, 2026, $1.6 million on December 31, 2027, $1.8 million on December 31, 2028 and $2.0 million on December 31, 2029. The repayments are made out of the cash flow generated by the project.Under the current arrangement:i. What is the cost of financing?ii. What is the NPV and IRR of the project? Would you cancel the project if you could?You are looking for an alternative financing strategy. Today January 1, 2022 you discuss with ABB Bank the following arrangement: on January 1, 2025 you borrow $5.0 million from ABB Bank and you commit to repay a constant amount A on December 31 of each of the years 2025 to 2029. ABB Bank provides to you the interest rates for each maturity from one year to five year that you should use in calculating A such that the present value of your payments exactly equal to the amount you borrow:One-year Interest 12.5%Two-year Interest 13.5%Three-year Interest 14.5%Four-year Interest 15.5%Five-year Interest 16.5%(To clarify: an amount borrowed on January 1, 2025 and repaid on January 1, 2026 requires an interest rate of 12.5% and so one for the other periods)Calculate A.What is the cost of financing under this new financing arrangement?Assume that you would be able to cancel the financing arrangement that the previous CFO set and enter into the new financing arrangement with ABB Bank. Use an incremental analysis to analyze whether it would be better to switch from the previous financing arrangement to the new one. What is our decision? 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