Let x and y be functions of time t such that the sum of x and twice y is constant. Which of the following equations describes the relationship between the rate of change of x with respect to time and the rate of change of y with respect to time?

Answers

Answer 1

9514 1404 393

Answer:

  b)  dx/dt = -2dy/dt

Step-by-step explanation:

We are given that ...

  x(t) +2y(t) = k

for some functions x(t) and y(t) and some constant k.

Differentiating with respect to time gives ...

  x'(t) +2y'(t) = 0

  x'(t) = -2y'(t) . . . . . subtract the y term

In the form used in the answer choices:

  dx/dt = -2dy/dt . . . . . matches choice B

Let X And Y Be Functions Of Time T Such That The Sum Of X And Twice Y Is Constant. Which Of The Following

Related Questions

what is the answer
(x³)^4

Answers

Answer:

the answer is x^12

Step-by-step explanation:

multiply 3 by 4 and you get 12

Answer:

Step-by-step explanation:

x^3^4

x^12  multiply the powers

Given the figure below, solve for x:

Answers

Answer:

46uusuhdhuduhsbsu7sheheususysyw7wuwuw

Answer:

x=12

Step-by-step explanation:

70+50= 120

180-120= 60

60/5=12

HELP ASAP! Brainliest and 15 points! This is really important
Give explaination and/or show work if you can please

Answers

Answer:

Step-by-step explanation:

The first one is the third root of 5^2. The denominator represents the root in which you're taking, in this case the third root, and the numerator represents the exponent that will be underneath the radical with the integer

The second one is the square root of 5. Anytime you see a 2 as the denominator in an exponent you're just taking the square root

The third one is the fifth root of 3^2, as explained by the first one

The fourth one is the square root of 3^5, as explained with the second one

Very quickly pleasee!!! What is the remainder when 3 to the power of 2020 is divided by 30

Answers

Answer:  21

===============================================

Explanation:

Let's see if we can find a pattern where we divide powers of 3 over 30

In other words, let's see if we can find a pattern for (3^n)/30 where n is a natural number {1,2,3,4,...}

We only care about the remainders so ignore the quotients.

This is the pattern of remainders:

3^1 = 3. When divided over 30, we get remainder 3.3^2 = 9. When divided over 30, we get remainder 9.3^3 = 27. When divided over 30, we get remainder 27.3^4 = 81. When divided over 30, we get remainder 21.3^5 = 243. When divided over 30, we get remainder 3.3^6 = 729. When divided over 30, we get remainder 9.

We see the pattern repeating again after we get to remainder 3 a second time. The pattern of remainders is {3, 9, 27, 21} which repeats forever.

The length of this cycle is 4. So what we do is divide the exponent by 4 to see what the remainder is. For instance, both 1 and 5 lead the same remainder when we divide by 4. This tells us 3^1 and 3^5 lead to the same remainder as shown in the pattern above.

Similarly, 3^2 and 3^6 lead to the same remainder. These items are spaced exactly four units apart, which is the length of the cycle.

For the exponent 2020, we get 2020/4 = 505 remainder 0

Having a remainder 0 is the same as having remainder 4, when dividing by 4.

So we'll be looking in the fourth slot of the cycle {3,9,27,21} to see the answer is 21.

Dividing 3^2020 over 30 leads to a remainder of 21.

Find the value of X
163
141
135
150

Answers

Answer:

x = 150

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 6 , then

sum = 180° × 4 = 720°

Sum the given interior angles and equate to 720, that is

130 + 90 + 120 + 112 + 118 + x = 720, simplifying

570 + x = 720 ( subtract 570 from both sides )

x = 150

Find the area of the shaded figure.

Answers

Answer:

Its 20

Step-by-step explanation:

Because its correct

pls mark me as brainliest

Solve for P:

9(p−4)=−18

Please Explain

Answers

Answer:

p = 2

Step-by-step explanation:

Happy to help.

When we have numbers in parenthesis, we generally want to deal with those first. However, we can hit a rough patch when a variable is in there. Consider this:

2(3 + 4) = 2(7), or 14.

But, the two can also be distributed into both numbers in the parenthesis, like this:

2(3 + 4) = 2*3 + 2*4

That leaves us with the same answer—14! We can apply this to a variable, and that will help us figure out 9(p - 4), or the left side of your equation you presented.

9(p - 4) = -18

9*p - 9*4 = -18

9p - 36 = -18

Add 36 on both sides to isolate the variable (in this case, p)

9p = -18 + 36

You can also write it like this; 9p = 36 - 18

9p = 18

Divide 9 to isolate p

p = 2

So, we would get (p = 2). Make sure to practice a few more questions like these to really get the hang of it—you'll be using this a lot in the future!

Good luck!

5 points
13. Max remodeling his living room and is having carpet installed. The
installation fee is $300.00. The carpet is priced at $3.75 per square foot, X.
Which equation best represents the total cost, y, of the remodel?*
OA) y =300x + 3.75
B) y= 3.75-300x
C) y = 3.75x + 300
D) y = 303.75x

Answers

Answer:

i think its C

Step-by-step explanation:

hope this helped:)

What shape is this I need help

Answers

Answer:

Pyramid/Triangle Prism

Step-by-step explanation:

pyr·a·mid

/ˈpirəˌmid/

Learn to pronounce

See definitions in:

All

Archaeology

Egyptian History

Geometry

Anatomy

Finance

noun

1.

a monumental structure with a square or triangular base and sloping sides that meet in a point at the top, especially one built of stone as a royal tomb in ancient Egypt.

2.

an object, shape, or arrangement in the form of a pyramid.

"a pyramid of logs"

verbNORTH AMERICAN

please help and answer

Answers

Answer:

C and E

Step-by-step explanation:

C involves like terms, containing the variable k.

E also:  the variable in question is a.

gordon types 3,420 words in 45 minutes. Find the unit rate.
Gordon types ___ words per minute.

Answers

76 I used a calculator
76 words per minute Because if you do:
49=3420 and ur solving for 1 minute you’d dived 3420/49 witch would being u to 76

hurry pls i have an test plssssssssssssssssssssssssssssssssss

Answers

Answer:

1. -75 ft

5/8 X  -120=    

5/8= 0.625

0.625*-120 = -75

2. 5

(-2/3) * (2.5) * (-3)

(2.5) * (-3) is -7.5

-7.5*(-2/3)

=5

your dad is designing a new garden for your backyard. he has 21 ft of fencing to go around the garden. he wants the length of the garden to be 1 ½ feet longer than the width. how long should he make the garden?​

Answers

Answer:

The garden is 4.5 ft by 6 ft.

Step-by-step explanation:

2x + 2(x+1.5) = 21

2x + 2x + 3 = 21

4x = 18

x = 4.5

Given the four vectors in component form:

a = 4i – 4j

b = –5i + 8j

c = –i – 3j

d = 6i + 2j

Choose the expression that produces the following resultant vectors.

6i + 9j =

2j =

–8i + 13j =

Answers

Answer:

A C D B

Step-by-step explanation:

Simplify the following expression five to the power of -3

Answers

Hmm I wonder too this is my question exactly crazy.

pleaseee help mee! i’m so confused:(((

Answers

The answer to your problem is 20.

17 divided by 765
...

Answers

Answer:

0.02

infinete 0.0222222222

Step-by-step explanation:

or 45

Pls can someone help me factorise this: a²+9a+8

Answers

Answer:

(a + 8)(a + 1)

Step-by-step explanation:

We know that the first term is squared, so we can put it out like this:

a * a

The third term has to be separated so that the sum of the two factors is the coefficient of the second term, 9.

8 = 4 * 2 (does 4 +/- 2 = 9? nope, we can't use that)

8 = 8 * 1 (does 8+/- 1 = 9? yes, when 8 + 1)

So the factor is a + 8 and a + 1.

Put this together and (a+8)(a+1)

One day your aunt gave you 20 pieces of candy and you ate 2 pieces each day. After a
certain number of days, there are 10 pieces left. Which of the following equations
represents the day, d, when there are 10 pieces left?
Will award brainliest

Answers

Answer:

5

Step-by-step explanation:

on day 1 you had 20 pieces and each day you lose 2 pieces. so that means your equation is y=-2x+20. So x = number of days, and y = pieces of candy. Plug in 10 for y, minus 20 to both sides, divide by -2 to each side. Then your answer is 5.

Nicole earns $40,768 per year. What are her weekly gross earnings?

1.)$1,568.00
2.)$1,698.66
3.)$784.00
4.)$741.25

Answers

First, let’s divide 365 by 7 to find out how many weeks are in a year. (52) Then we can divide that number by 40768 and we get answer choice 784.

James read an equal number of pages of his book each night for 8 nights to prepare for his upcoming exam. During this time, he has read a total of StartFraction 6 Over 7 EndFraction of the book. What fraction of the book did he read each night?

Answers

Answer:

3/28

Step-by-step explanation:

James read an equal number of pages of his book each night for 8 nights to prepare for his upcoming exam.

The total fraction of the book he read in 8 nights = 6/7

Hence,

8 nights = 6/7

1 night = x

Cross Multiply

8x = 6/7 × 1

x = 6/7 ÷ 8

x = 6/7 × 1/8

x = 3/28

Therefore, every night, the fraction of the book he has read is 3/28

10% of _____= 2


Ill give brainliest ^^

Answers

The answer is 20
Xddjosjaajadksjkw

Answer: x = 20

Step by step explanation:

Let's say that "___" = x to get rid of confusion when solving.

The new equation is 10% of x = 2.

Let's rewrite 10% as 10/100 and "of" as the multiplication sign.

10/100 * x = 2

Let's simplify 10/100 as 1/10 by dividing it by 10/10 which is one(there is no change in its value, it just makes our job easier.)

1/10 * x = 2

We can now multiply both sides by 10 to get x = 20.

Let's check: 1/10 * 20 = 2, so it is correct.

21,28,35 determine whether the triangle is acute, right,obtuse, or not a triangle.

Answers

Answer:

I believe it is an acute triangle but im not 100% sure

Step-by-step explanation:

The triangle with sides 21 , 28 and 35 is a right angle triangle

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the base of the triangle is BC = 21

The height of the triangle AB = 28

The hypotenuse of the triangle is AC = 35

And , for a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the values in the equation , we get

35² = 21² + 28²

On simplifying the equation , we get

1225 = 441 + 784

1225 = 1225

Hence , the triangle is a right angle triangle

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

HELP ME PLS ILL MARK AS BRAINLESS

Answers

Answer:

A: 12:18

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Ratios are normally part to part which knocks off answer choices C and D.

Ratios are written with the smaller value on the left and the large value on the right so it can't be B

So it has to be A

Isosceles triangle ABC contains angle bisectors BF. AD and CE that intersect at X

136
132
68
44

Answers

Answer:

136

Step-by-step explanation:

Bc i took the flvs test and got it right

The triangle ΔXAC formed by the angle bisectors is an isosceles triangle

The measure of m∠CXA is the option;

136°

Reason:

The given parameters are;

ΔABC = An isosceles triangle

BF, AD, and CE = Angle bisectors, intersect at X

m∠BCA = 44°

m∠XCF = m∠XCD Angles formed by angle bisector CE

We have;

m∠BCA = 44° = m∠XCF + m∠XCD; by angle addition Postulate

∴ 44° = m∠XCF + m∠XCF; by substitution property of equality

44° = 2 × m∠XCF

[tex]m \angle XCF= \dfrac{44^{\circ}}{2} = 22^{\circ}[/tex]

m∠EAF = m∠XAF + m∠XAE

m∠XAF = m∠XAE;  Angles formed by angle bisector AD

∴ m∠EAF = m∠XAF + m∠XAF

m∠EAF = 2 × m∠XAF

m∠EAF  = 44°; by base angles of isosceles triangle

[tex]m \angle XAF= \dfrac{44^{\circ}}{2} = 22^{\circ}[/tex]

m∠CXA + m∠XCF + m∠XAF = 180° Angle sum property of a triangle

m∠CXA = 180° - (m∠XCF + m∠XAF )

Which gives;

m∠CXA = 180° - (22° + 22°) = 136°

The measure of m∠CXA = 136°

Learn more here:

https://brainly.com/question/13944732

Kendy and Fred keep borrowing and losing John’s pens. So John went to the store with $24 to spend on seven pens. After buying them he had $10. How much did each pen cost?

SHOW YOUR WORK.

Answers

Answer: each pen costed him 2 dollars

Explanation: 24 - 10 = 14
14 / 7 = 2 $ per each pen

I’m behind on math need help I’m mark the correct answer the brainliest *i can’t spell*

Answers

Answer:

C I think

Step-by-step explanation:

C I think

if it Is correct give me brainliest

The table shows conversions of common units of capacity.

Units of Capacity
Customary System Units
Metric System Units
1 gallon
3.79 liters
1 quart
0.95 liters
1 pint
0.473 liters
1 cup
0.237 liters

Approximately how many centiliters are in 3 quarts? Round answer to the nearest unit.
29 centiliters
71 centiliters
285 centiliters
316 centiliters

Answers

9514 1404 393

Answer:

  285 centiliters

Step-by-step explanation:

Using the given conversion factor:

  1 quart = 0.95 L = 95 cL

  3 quarts = 3 × 95 cL = 285 cL

There are approximately 285 centiliters in 3 quarts.

__

Centi- is a prefix meaning 1/100th. So, 0.95 L (95 hundredths) is 95 cL.

Answer:

its c

Step-by-step explanation:

Mikayla evaluated the expression 0.86 times 23.4 using the steps shown below.

0.86 times 23.4 = 344. 344 + 2580 + 17200 = 201.24

Which best explains Mikayla’s error?

Answers

Answer:

she moved the decimal incorrectly

Step-by-step explanation:

mikayla evaluated the expression 0.86 × 23.4 using the steps shown below.

0.86

× 23.4

344

2580

+ 17200

= 201.24

cAnswer:

Step-by-step explanation:

Which two factors of 40 add up to -14?
-8 and -5
-40 and -1
-20 and -2
40 and 1
8 and 5
-10 and -4
10 and 4
20 and 2

Answers

-10 and -4 = -14 nothing else gives you that so it has to be correct
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