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3 years ago

4*4^7 answer in one exponet

Mathematics

1 answer:

solong [7]3 years ago

4 0

Answer:

65531

Step-by-step explanation:

4^7 = 16384

16384 x 4 = 65531

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assume x and y are both differentiable functions of t. find dx/dt given x=-1 and dy/dt=8 for the relation: 4x^2+3y^3=28

melomori [17]

Given:

x and y are both differentiable functions of t.

$4x^2+3y^3=28$

$x=-1\text{ and }\dfrac{dy}{dt}=8$

To find:

The value of $\dfrac{dx}{dt}$ .

Solution:

We have,

$4x^2+3y^3=28$ ...(i)

At x=-1,

$4(-1)^2+3y^3=28$

$4+3y^3=28$

$3y^3=28-4$

$3y^3=24$

Divide both sides by 3.

$y^3=8$

Taking cube root on both sides.

$y=2$

So, y=2 at x=-1.

Differentiate (i) with respect to t.

$4(2x\dfrac{dx}{dt})+3(3y^2\dfrac{dy}{dt})=0$

Putting x=-1, y=2 and $\dfrac{dy}{dt}=8$ , we get

$4(2(-1)\dfrac{dx}{dt})+3(3(2)^28)=0$

$-8\dfrac{dx}{dt}+9(4)(8)=0$

$-8(\dfrac{dx}{dt}-9(4))=0$

Divide both sides by -8.

$\dfrac{dx}{dt}-36=0$

$\dfrac{dx}{dt}=36$

Therefore, the value of $4x^2+3y^3=28$ is 36.

6 0

3 years ago

How can you tell if a number is divisible by 3?

KiRa [710]

The correct answer is b I believe

7 0

4 years ago

A bowling alley has a fixed base cost and charges a variable per game rate. It costs $20.50 for five games and 28.50 for nine ga

lbvjy [14]

As ordered pairs ( g , C ) where g is the number of games and C is the cost

( 5, 20.50) and ( 9, 28.50)

the slope M = ( 28.50 - 20.50 ) / (9-5)

= 8/4

= 2

So the slope M=$2 per game

Using (5, 20.50)
The intercept B = y - m* g
= 20.50 - 2 * 5
= 20.50 - 10
= 10.50

So the fixed base cost, or FLAT RATE is $10.50.
That is if they played ZER0 games, they still have
to pay $10.50 just to get in.

The linear function is C (g) = 2*g + 10.50

8 0

3 years ago

Can u help me pls, thank you very much, what I’m a suppose to do

Alex787 [66]

Answer:

I can't understand what you are asking I hope it will help you please follow me

6 0

3 years ago

If the graph of y=cos⁡θ has a change in amplitude and a vertical translation, the equation becomes y=acos⁡θ+d, where a,d∈N and 0

worty [1.4K]

Answer:

The amplitude is 3 and the downward vertical translation is 4 ⇒ 3rd answer

Step-by-step explanation:

* Lets revise some facts about the cosine function

- The Amplitude of cos(x) is the height from the center line to the

peak (or to the trough). Or we can measure the height from

highest to lowest points and divide that by 2.

- The Vertical Shift is how far the function is shifted vertically from

the usual position.

* Now lets solve the question

∵ y = cos(Ф)

- There is a change in amplitude, it becomes a

- There is a vertical translation by b units

∴ y = a cos(Ф) + d

* Now lets look to the graph to find a and d

- From the graph:

∵ The highest value is -1

∵ The lowest value is -7

∴ The amplitude a = (-1 - -7)/2 = (-1 + 7)/2 = 6/2 = 3

∵ The highest value of y = cos(Ф) is 1

∵ The amplitude is 3

∴ The highest value of y = acos(Ф) = 3

∵ The highest value of y = acos(Ф) + d is -1

∴ d = 3 - (-1) = 4 ⇒ means downward vertical translation by 4

∴ y = 3 cos(Ф) - 4

* The amplitude is 3 and the downward vertical translation is 4

3 0

3 years ago