1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vikki [24]
3 years ago
15

How do you find the rate of change

Mathematics
1 answer:
olga_2 [115]3 years ago
6 0
If it's for a graph then I believe you just find the slope which you can do by taking two points and plugging them into this equation y-y
/
X-X

Example: (2, 4) and (6, 7) the first number is always x and the second is always y so if you plug those in the equation would look like this....

4-7
/
2-6

That would end up being
3
- ---- aka the rate of change
4


P.s. The slash and the four dotted lines together means division. Hope this helps
You might be interested in
Use the relationship between the angles in the figure to answer the question.
pickupchik [31]
67+52+x=180
119+x=180
x=61
hope this helps!
the equation to be used would be x=180-(67+52)
5 0
3 years ago
An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made
Lemur [1.5K]

Answer:

The dimension of box=2ft\times 2ft\times 1ft

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box=lbh=x^2h

4=x^2h

h=\frac{4}{x^2}

Now, surface area of box,A=x^2+4xh

A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}

\frac{dA}{dx}=2x-\frac{16}{x^2}

\frac{dA}{dx}=0

2x-\frac{16}{x^2}=0

2x=\frac{16}{x^2}

x^3=8

x=2

\frac{d^2A}{dx^2}=2+\frac{32}{x^3}

Substitute x=2

\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h=\frac{4}{2^2}=1 ft

Hence, the dimension of box=2ft\times 2ft\times 1ft

5 0
2 years ago
Expand (4x-3y)^4 using pascal's triangle ...?
jenyasd209 [6]
Using row 4: 

<span>coefficients are: 1, 4, 6, 4, 1 </span>

<span>a^4 + a^3b + a^2b^2 + ab^3 + b^4 </span>

<span>Now adding the coefficients: </span>

<span>1a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + 1b^4 </span>

<span>Substitute a and b: </span>

<span>a = 4x </span>
<span>
b = -3y </span>

<span>1(4x)^4 + 4(4x)^3(-3y) + 6(4x)^2(-3y)^2 + 4(4x)(-3y)^3 + 1(-3y)^4 </span>

<span>Now simplify the above: </span>

<span>256x^4 - 768x^3y + 864x^2y^2 - 432xy^3 + 81y^4 </span>
8 0
3 years ago
A sphere with a radius of 6cm has the same volume as a cylinder with a height of 4.5cm. What is the radius of the cylinder
yawa3891 [41]
Short answer: r = 8
Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values. 

Step One
Find the volume of the sphere.

<em>Givens</em>
r = 6 cm

<em>Formula</em>
V = (4/3) pi r^3

<em>Sub and Solve</em>
V =  4/3 pi * 6^3
V = 288 * pi

Step two 
Find the radius of the cylinder

<em>Givens</em>
V = 288* pi cm^3
h = 4.5 cm

<em>Formula</em>
V = pi r^h

<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5    Divide both sides by pi
288 cm^3 = 4.5 r^2              Divide both sides by 4.5
388 / 4.5 = r^2
64 = r^2                                Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer

4 0
3 years ago
PLEASE HELP QUICK i dont need work to be shown
andre [41]

Answer:

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • The Difference between two numbers is 22. The sum of the same two numbers is 78. What are the two numbers?
    6·1 answer
  • A triangle on a coordinate plane is translated according to the rule T-8,4(x,y). Which is another way to write this rule
    5·2 answers
  • Jen has 2 meters of taffy. She wants to give each of her 3 best friends an equal amount of taffy. How many centimeters of taffy
    5·1 answer
  • PLEASE ANSWER CORRECTLY! WILL GIVE BRAINLIEST!
    6·1 answer
  • Help please!!!!!!!!!!!
    12·1 answer
  • The tires of a go-cart are 1 m in circumference. The tires revolve 15 times per second. What is the distance the go-cart travels
    15·1 answer
  • Please help find the top angle
    5·1 answer
  • Plz help me do this
    8·2 answers
  • HELP ME PLEASE!!!<br><br> This is super confusing
    13·1 answer
  • Write a cosine function that Has a midline of 2 an amplitude of 3 and a period of 7pi/4
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!