Use the distributive property to write an expression that is equivalent to 12 + 4x .

0.01/100 = 0.0001 x 1000 = 0.1lb

Answer:

a) dA/dt = 125,42 mm/min

b) dh/dt = - 1,78 mm/min

Step-by-step explanation:

The volume of the cylinder is:

V(c) = π*r²*h         ( r and h radius of the base and heigh respectively )

Then the surface area is: Area of the base : π*r²

Plus lateral area :  h*2*π*r

A(c) =  π*r² + 2*π*r*h

With the help of differentials we obtain:

dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt        (1)

In this equation and at time t we know:

r = 18 mm        dr/dt = 2 mm/min      h = 8 mm    dh/dt = ??  

dA/dt = increasing rate of the surface area ( with respect to time)

To find dh/dt we know:

V(c) is constant, then

V(c) = π*r²*h     then   h = V(c) / π*r²

dh/dt = - [V(c)*2*π*r*dr/dt ] / π²*r⁴

By subtitution of V(c)

dh/dt = - [ π*r²*h *2*π*r*dr/dt ] / π²*r⁴

dh/dt = - [2*π²h*r³*dr/dt ] /π²*r⁴

dh/dt = - [2*h* dr/dt ] / r

dh/dt =  -  2*8*2 / 18    mm/min

dh/dt = - 1,78 mm/min

By subtitution in equation (1)

dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt

dA/dt = 2*π*18*2 + 2*π*8*2 + (- 2*π*18*1,78 )

dA/dt = 226,20 + 100,53 - 201,31

dA/dt = 125,42 mm/min

Following are solutions to the given points:

Formula:

Cylinder volume [tex]v = \pi r^2 h...............(i)[/tex]

[tex]\to \frac{dr}{dt} = 2 \frac{mm}{min}\\\\ \to \frac{dh}{dt} = -2 \frac{mm}{min}\\\\ \to h=8\\\\ \to r=18 \\\\[/tex]

Part A:  

Calculating the circular area of the surface:

[tex]\to A=\pi r^2\\\\[/tex]

So, [tex]\frac{dA}{dt}=2 \pi r \frac{dr}{dt}.........(ii)[/tex]

Therefore

[tex]\to \frac{dA}{dt}= 2\pi \times 18 \times 2= 72 \pi \ \frac{mm^2}{min}\\\\[/tex]

Part B:

[tex]\to \frac{dh}{dt}= - 2 \frac{mm}{min}[/tex]

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Answer:

3/7 and 5/9

Step-by-step explanation:

The volume of dirt needed to fill up the box for Danielle's garden is 22/15 cubic feet.

To find the volume of dirt needed to fill up the box for Danielle's garden, we need to calculate the volume of the box.

The formula for the volume (V) of a rectangular box is:

V = length × width × depth

Given dimensions:

Length = 2 1/5 feet

Width = 1 1/3 feet

Depth = 1 1/2 feet

Now, let's convert the dimensions into improper fractions:

Length = 2 1/5 = (5 × 2 + 1) / 5 = 11/5 feet

Width = 1 1/3 = (3 × 1 + 1) / 3 = 4/3 feet

Depth = 1 1/2 = (2 × 1 + 1) / 2 = 3/2 feet

Now, plug the values into the volume formula:

V = (11/5) × (4/3) × (3/2)

Next, multiply the fractions:

V = (11/5) × (4/3) × (3/2) = 44/30 = 22/15

Now, we can simplify the fraction:

V = 22/15

The volume of dirt needed to fill up the box for Danielle's garden is 22/15 cubic feet.

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Answer:girl use google

Step-by-step explanation:what

Answer:

A. y = arcsinx and y = arccosx

Step-by-step explanation:

edge

The trigonometric functions have a domain of [–1, 1] is sine and cosine function.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x) make up this set. A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Given:

From the given identity, the following things can be interpreted:

cos²x = 1- sin² x

cos x = √(1- sin2x)

Since the cosine function is known to be defined for real numbers, the value contained within the root is always positive. Therefore,

1- sin²x ≥ 0

sin²x ≤ 1

sin x ∈ [-1, 1]

Similarly,

1- cos²x ≥ 0

cos²x ≤1

cos x ∈ [-1,1]

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Answer:

1/5 is ur answer

Step-by-step explanation:

Answer:

zeros of the function are −2 and 3

Step-by-step explanation:

there is no -2 so H.3

Answer:

376000 pounds

Step-by-step explanation:

What's required of this question is to convert the given weight of plane from tons to pounds

Given

[tex]Weight = 188\ tons[/tex]

Required

Get pounds equivalent

From standard unit of measurements

[tex]1\ ton = 2000\ pounds[/tex]

Multiply both sides by 188

[tex]188 * 1\ ton = 188 * 2000\ pounds[/tex]

[tex]188\ tons = 376000\ pounds[/tex]

Hence, the weight of the plane in pounds is 376000

Answer:

x = 33

Step-by-step explanation:

Because of the little square we know the total angle is 90

24 + 2x = 90

-24

2x = 66

/2

x = 33

Answer: I think D

Step-by-step explanation: I know slavery and states rights but i don’t know about the b one

Answer: All of the above

Step-by-step explanation: The south wanted slavery, lower or no tariffs, and individualized states writes. On the other hand, the north wanted no slavery, tariffs, and a central government.

Answer:

28

Step-by-step explanation:

Multiply 35 by .8

Answer:

If he pitched 35 games then he will win 28 of his games.

Step-by-step explanation:

You take 35 and multiply it by the percentage. But first make the percentage a decimal by moving the decimal two places to the right making it .8

Then you multiply and you have your answer!

Answer:

C!

Step-by-step explanation:

I Got it correct! I hope you have a wondeful weekend and Day!!!

Step-by-step explanation:

F -2,4

E -2,-2

G 4,-4

is the answer

Answer:

f -2,4

e -2,-2

g 4,-4

Step-by-step explanation:

Answer:  Any number over itself is equivlent to 4/4.

Examples: 3/3, 18/18, 5/5, 90/90

Step-by-step explanation:

Because 4/4 is equivalent to 1 whole.

A fraction that is equivalent to 4/4 would be, 5/5 as, After simplifying the fraction 5/5 is equal to 1.

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.

Given that,

The fraction is,

⇒ 4/4

Now, after simplifying the fraction we get;

⇒ 4/4

⇒ 1

So, Let a fraction that is equivalent to 4/4 would be;

⇒ 5/5

After simplifying we get;

⇒ 5/5 = 1

Therefore, A fraction that is equivalent to 4/4 would be, 5/5

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Answer:

0.25

Step-by-step explanation:

The total number of marbles is 2 + 2 + 3+ 5 = 12

the number of green ones is 3

So the probability of green = 3/12 = 1/4 = 0.25

Answer:

Red

Step-by-step explanation:

Because it was most pick the first time

Answer:

185.714285714%

A change from 14 to 40 represents a positive change (increase) of 185.71428571428572%

Answer:

f(-4)=3(4)^2-5(4)

16*3-20

48-20

f(-4)=28

Answer:

$1.05 Per Pound

Step-by-step explanation:

Answer: $1.05/pound

Step-by-step explanation:

$26.25 / 25 = $1.05

Answer:

First we found the sum of 15.438 and 3.18. The subtract the answer from 32.476.

Option A is correct.

Step-by-step explanation:

The total width of box is = 32.476

Width of box of T-shirts = 15.438

Width of box of Socks = 3.18

We need to find width of coat box.

The width of coat box can be found as:

Total Width = Width of box of T-shirts + Width of box of Socks + width of coat box

32.476 = 15.438 + 3.18 + width of coat box

32.476 = 18.618 + width of coat box

width of coat box= 32.476 - 18.618

width of coat box = 13.858

So, The Width of coat box = 13.858 inches

First we found the sum of 15.438 and 3.18. The subtract the answer from 32.476.

Option A is correct.

HL postulate is the answer

Answer:

each person gets 12.35oz

Step-by-step explanation:

74.1

6

=12.35

Answer:

12.35 oz

Step-by-step explanation:

74.1 divided by 6 equals 12.35

Answer:

the answer is they are congruent

Answer: no solution

Hope this helps and good luck :)

Step-by-step explanation:

Answer:

only one solution at x=0

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf No}[/tex]

Step-by-step explanation:

These triangles are not similar because their angles are not equal.

Conditions for two or more triangles to be similar:

1) Their angles are congruent or equal.

2) Their sides are proportional.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

b

Step-by-step explanation: