Four points are labeled on the number line. Which point represents the value of ∣−12∣?

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:

yan lang po hindi ko alam

Step-by-step explanation:

sorry po hindi ko alam ehh

Answer:

6,600,000,000

Step-by-step explanation:

six billion 6 hundred million

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:

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:

2.5 hours

Step-by-step explanation:

If it takes 3 hours at 50 mph, it's traveling 150 miles (3 x 50)

150 miles at 60 mph is 2.5 hours (150/60)

Answer:

a.) 10,000

b.) 512

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

is this the full question?

Step-by-step explanation:

9514 1404 393

Answer:

  x = 20

Step-by-step explanation:

The external angle at V is half the difference of the subtended arcs:

  (65° -25°)/2 = x° = 40°/2

  x = 20

Answer:

C

explanation:

x = 4/3πr³

cross multiply

3x = 4πr³

cube root both side

³√3x = ³√4πr³

³√3x = ³√4π x r

divide both side by ³√4π

r = ³√3x/4π

Answer:

The measure of a snart is 2 and that of a snert is 8.

Step-by-step explanation:

Represent the size of a snert by e and that of a snart by a.

Then e - a = 6.  This assumes that e > a.

2e + a = 18.  Substitute e - 6 for a, obtaining:

2e + (e - 6) = 18.

Simplifying, we get

2e + e - 6 = 18, or

3e = 24, and so

e = 8

Remembering that e - a = 6, we have 8 - a = 6.  Then a must be 2.

The measure of a snart is 2 and that of a snert is 8.

Answer:

34

Step-by-step explanation:

(16+8x)-(-18+8x)

16-(-18)

34

Answer:

17x^2

Step-by-step explanation:

(8x^2+8x)- ( 9x^2+8x)

8x^2+8x + 9x^2-8x

17x^2

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:

$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:

X=20

Step-by-step explanation:

3x=2x+20

X=20

Answer:

five-number summary

Step-by-step explanation:

Answer:  (8, 9)

Step-by-step explanation:

Answer:

(-4, 1)

Step-by-step explanation:

Answer:

12 people can fit so the van had enough sests

Answer:

427

Step-by-step explanation:

Find volume

Subtract 5 inches

Answer: 11 kg

Step-by-step explanation:

Given

Shelia buys 33 kg of rice and 9 kg of cornmeal

The amount of flour bought is one-third of the amount of rice bought

The amount of flour is

[tex]\Rightarrow \dfrac{33}{3}=11\ kg[/tex]

Answer:

hold on the answer in the picture

Step-by-step explanation:

sry for it being so blurry

Answer:

The foot of the ladder is 10 feet away from the base of the wall.

Step-by-step explanation:

Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder

h = 20  is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.

The foot of the ladder is 10 feet away from the base of the wall. [Ans]

answer: The foot of the ladder is 10 feet away from the base of the wall.

The foot of the ladder is 10 feet away from the base of the wall.

explanation:

Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder

h = 20  is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.

Answer:

22

Step-by-step explanation:

308/70 = 4.4

4.4 * 5

Answer:

the answer for this question is C

Step-by-step explanation:

base radius = 0.8

Height = 3.5

Volume of a cone =

[tex] \frac{1}{3} \pi {r}^{2} h[/tex]

V=1/3 x 3.14 x 0.8^2 x 3.5

V=2.3445 in^3

V= 2.34 in^3

Answer:

A

Step-by-step explanation:

You can look at the graph and infer that the line passes through 32 34 36 and so on

or

you can substitute y for the bill and x for the number of songs to see which graph is correct

y = 30 + 2x

For A, the line goes through 32 34 36 38 40 42 44 46 and 48

You can plug in 32 for y and 1 for x and so on

32 = 30 + 2*1 = 30 + 2

34 = 30 + 2*2 = 30 + 4

36 = 30 + 2*3 = 30 + 6

38 = 30 + 2* = 30 + 8

and so on