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
Genrish500 [490]
3 years ago
15

Find the rate of change of the area of a square with respect

Mathematics
1 answer:
Romashka [77]3 years ago
4 0
Let the side length of the square be x, then A = x^2
but diagonal (z) = sqrt(2x^2)
z^2 = 2x^2
x^2 = 1/2 z^2

Thus, A = 1/2 z^2
dA/dz = 1/2 (2z) = z
The rate of change is z.

When z = 4, the rate is 4.
You might be interested in
Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 + 3 (5 points)
kari74 [83]

Answer:

x=-1 1/2,x=-1.5

Step-by-step explanation: x=-3/2

6 0
2 years ago
A random sample of 20 purchases showed the sample mean of $48.77 and the sample standard deviation s is $17.58. How large is the
laila [671]

Answer:

<h2>$5.03</h2>

Step-by-step explanation:

Given data          

Sample Mean (M):  $48.77  

Sample Size (n): 20

Standard Deviation (σ) :  $17.58

Confidence Level: 80%

 we know that z*-Values for 80% Confidence  Levels is 1.28

the expression for margin of error is given bellow\

MOE= z*σ/√n

We can now substitute into the expression and solve for the MOE as

MOE= 1.28*17.58/√20

MOE= 22.502/4.47

MOE= 22.502/4.47

MOE= 5.03

The margin of error for a 80 % confidence interval is $5.03

3 0
3 years ago
SOMEONE.HALP.ME.
Natasha2012 [34]
3/4 = 0.75 in decimal inch
Karla wants to leave 0.75 inch in her signature.
4 -0.75 = 3.25 inch needed
0.25 = 1/4

3 and 1/4 inches is needed.
3 0
3 years ago
An initial deposit of $5,000 is made into a savings account that compounds 3% interest annually. How much is in the account at t
loris [4]
Find how much 3% of $5000 is. Then multiply the 3% by five and add it to 5000. I hope that didn’t sound confusing.
8 0
2 years ago
Read 2 more answers
My state's lottery has 30 white balls numbered from 1 through 30 and 20 red balls numbered from 1 through 20. In each lottery dr
seropon [69]

The three whites:

(30 choose 1) * (29 choose 1) * (28 choose 1) = 30 * 29 * 28


The two reds:

(20 choose 1) * (19 choose 1) = 20 * 19


So, The three whites + two reds = 30 * 29 * 28 + 20 * 19 = 24740

7 0
2 years ago
Other questions:
  • Math question down below
    15·1 answer
  • What is 2/7 of 2,470
    12·1 answer
  • A used CD is a dollar more than one third the price of a new CD. If a new CD costs $18, how much is a used CD
    14·1 answer
  • Determine whether the data described are qualitative or quantitative. The maximum speed limit on interstate highways.
    13·1 answer
  • Chris works in a tall building in downtown
    7·1 answer
  • Please help asap will give brainliest!!
    7·1 answer
  • Jamie and Erika were in a race. Jamie could run 15 meters per second. Erika could only run 10 meters per second. So Jamie decide
    6·2 answers
  • Rita has a rope 5 m long. She cuts it into 2 pieces of length 2 m 30 cm and 1 m 65 cm.
    12·1 answer
  • How many metres are there in 2 kilometres<br>answer in metres​
    14·1 answer
  • Choose the triangle that seems to be congruent to △AEC.<br><br><br><br> △BFC<br> △ABD<br> △EFD
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!