Can someone help me with this?

Answer:

A)

[tex]\displaystyle \frac{dy}{dt}=-\frac{33}{8}[/tex]

B)

[tex]\displaystyle \frac{dx}{dt}=\frac{3}{2}[/tex]

Step-by-step explanation:

x and y are differentiable functions of t, and we are given the equation:

[tex]xy=6[/tex]

First, let's differentiate both sides of the equation with respect to t. So:

[tex]\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6][/tex]

By the Product Rule and rewriting:

[tex]\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0[/tex]

Therefore:

[tex]\displaystyle y\frac{dx}{dt}+x\frac{dy}{dt}=0[/tex]

A)

We want to find dy/dt when x = 4 and dx/dt = 11.

Using our original equation, find y when x = 4:

[tex]\displaystyle (4)y=6\Rightarrow y=\frac{3}{2}[/tex]

Therefore:

[tex]\displaystyle \frac{3}{2}\left(11\right)+(4)\frac{dy}{dt}=0[/tex]

Solve for dy/dt:

[tex]\displaystyle \frac{dy}{dt}=-\frac{33}{8}[/tex]

B)

We want to find dx/dt when x = 1 and dy/dt = -9.

Again, using our original equation, find y when x = 1:

[tex](1)y=6\Rightarrow y=6[/tex]

Therefore:

[tex]\displaystyle (6)\frac{dx}{dt}+(1)\left(-9)=0[/tex]

Solve for dx/dt:

[tex]\displaystyle \frac{dx}{dt}=\frac{3}{2}[/tex]

Answer:

a cylinder, a sphere, and that little half sphere thing, oh and a triangular pyramid

Step-by-step explanation:

Answer:

hold on the answer in the picture

Step-by-step explanation:

sry for it being so blurry

Answer:

-1, 0, 1, 2

Step-by-step explanation:

range of x in − 2 < x < 3:  -1, 0, 1, 2

range of x in − 2 ≤ x ≤ 2:  -2, -1, 0, 1, 2

i  think the numbers are the same

Answer:

i think the answer is 354,900.

Step-by-step explanation:

Answer:

6,600,000,000

Step-by-step explanation:

six billion 6 hundred million

Answer:

Look at the image I included

Answer:

B 2/3

Step-by-step explanation:

:)

Answer:

$49.82

Step-by-step explanation:

Since each gallon is $2.12 you would just do $2.12 times 23.5 which equals $49.82. So Mariela spent $49.82 on gas

Answer:

five-number summary

Step-by-step explanation:

Answer:

D is the answer

Step-by-step explanation:

Answer:

A,C, and E

Step-by-step explanation:

a. 8x - 6x - 3 - 2

=2x-1 YES

b. 9 -7x + 3x -8

=9-8-7x+3x NO

c. x + x - 1

2x-1 YES

d. 3x + 2 -x - 2

=3x-x+2-2

2x+0 NO

e. -5 + 10x - 8x + 4

=10x-8x-5+4

=2x-1 YES

Hope it helps!

Answer:

12 people can fit so the van had enough sests

It is a

Scalene and Right angle

Answer:

[tex]5x - 4 = 4 + 4x \\ 5x - 4x = 4 + 4 \\ x = 8[/tex]

Answer:

x<8

Step-by-step explanation:

5x-4<4(1+x)

= 5x-4<4+4x

= 5x-4-4x<4

=5x-4x<4+4

= x<4+4

= x < 8

first distribute the 4 into the parenthesis on the right side of the expression. next collect like terms, so move the x's to the left side and the two fours to the other side. simplify both sides to find the answer.

i hope this helps :)

Answer:

Step-by-step explanation:

Answer:

is this the full question?

Step-by-step explanation:

Answer:

X=20

Step-by-step explanation:

3x=2x+20

X=20

Answer:

(x-7)(x-3)

Step-by-step explanation:

The factored form of f(x)=x^2-10x+21 is (x-7)(x-3). In order to find the factored form, you have to find what values add to -10, yet multiply to 21. So, the values that add to -10 and multiply to 21 are -7 and -3. x and x multiply to x^2.

In conclusion, the factored form of f(x)=x^2-10x+21 is (x-7)(x-3).

Answer:

175%

Step-by-step explanation:

The first one is a whole=1

the second one is cut in four but only 3 are shaded so 1/4=0.25    0.25*3=0.75

3/4/0.75 is shaded

so 1+0.75=1.75

1.75=175%

Answer:

P=n*s

Step-by-step explanation:

n is the number of sides and s is the length of any one side.

Answer:

It depends on the polygon.

Perimeter is the distance around a figure, so the formula changes for what type of polygon it is. For example, a square would be 4l or the length of one side times 4.

To find the perimeter for any polygon, regular or irregular, use the distance formula for each side. Then add all values together.

The distance formula is [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Where [tex](x,y)[/tex] is one edge and [tex](x_2 , y_2)[/tex] is another edge, both belonging to the same side. This formula calculates the unit length of a side of your choice. For irregular figures, you have to use this formula for every side. For regular figures, just multiply the distance by how many sides there are.

Distance calculator for 2d grid: https://www.calculatorsoup.com/calculators/geometry-plane/distance-two-points.php

Distance formula explanation: https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-distance-and-midpoints/v/distance-formula#:~:text=Learn%20how%20to%20find%20the,distance%20between%20any%20two%20points.

Answer:

the answer is 28

Step-by-step explanation:

i know this because i got it wrong and it told me

Answer:

32°

Step-by-step explanation:

Since the 147° angle and ∠2 form a Linear pair, sum of these angle must be 180°

147° + ∠2 = 180°

∠2 = 180° - 147°                       [subtracting 147° from both sides]

∠2 = 33°

Since all internal angles of a triangle add up to 180°,

∠1 + ∠2 + 115° = 180°

∠1 + 33° + 115° = 180°

∠1 + 148° = 180°

∠1 = 180° - 148°                       [subtracting 148 from both sides]

∠1 = 32°

Answer:

The answer is 12x¹⁰y⁴.

Hope this helped!!

Step-by-step explanation:

1. ( 4x⁷y² ) ( 3x³y²)

2.  4x⁷y² ₓ  3x³y²

Answer:

yan lang po hindi ko alam

Step-by-step explanation:

sorry po hindi ko alam ehh

Answer:

linear

Step-by-step explanation:

Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.

sum of angles on a straight line is 180° thus linear angle is also be 180° when the two angles a and b combine

Answer:

x = 20

Step-by-step explanation:

3 (x-8) +2x = 76

3x - 24 +2x = 76

3x+2x = 76+24

5x = 100

x = 20