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
lora16 [44]
3 years ago
8

A student writes 5y*3 to model the relationship the sum of 5y and 3. explain the error

Mathematics
1 answer:
shutvik [7]3 years ago
6 0
Multiplied instead of added. the "sum" means addition.
You might be interested in
Someone please help me? Answe is NOT 4/7 , tried that already
pishuonlain [190]
Yes the answer is not 4/7 its 7/4
5 0
3 years ago
GREATEST COMMON FACTOR OF 8 OF 36
Mekhanik [1.2K]

Answer:

4

Step-by-step explanation:

greatest common factor means the largest positive number that can divide both terms

if you divide 8 by 4 = 2

and if you divide 36 by 4 = 9

8 0
3 years ago
Read 2 more answers
In the following activity, match each pair of equivalent expressions.
Vilka [71]

Answer:

1. -8+3x

2. 51x-2+4x2 (squared)

3. 66x +324

4. 6x+2

5.  13 +13x

Step-by-step explanation:

I don't think I really understand the question but I tried to simplify the equations

8 0
3 years ago
This is a "water tank" calculus problem that I've been working on and I would really appreciate it if someone could look at my w
Sedaia [141]
Part A

Everything looks good but line 4. You need to put all of the "2h" in parenthesis so the teacher will know you are squaring all of 2h. As you have it right now, you are saying "only square the h, not the 2". Be careful as silly mistakes like this will often cost you points. 

============================================================

Part B

It looks like you have the right answer. Though you'll need to use parenthesis to ensure that all of "75t/(2pi)" is under the cube root. I'm assuming you made a typo or forgot to put the parenthesis. 

dh/dt = (25)/(2pi*h^2)
2pi*h^2*dh = 25*dt
int[ 2pi*h^2*dh ] = int[ 25*dt ] ... applying integral to both sides
(2/3)pi*h^3 = 25t + C
2pi*h^3 = 3(25t + C)
h^3 = (3(25t + C))/(2pi)
h^3 = (75t + 3C)/(2pi)
h^3 = (75t + C)/(2pi)
h = [ (75t + C)/(2pi) ]^(1/3)

Plug in the initial conditions. If the volume is V = 0 then the height is h = 0 at time t = 0
0 = [ (75(0) + C)/(2pi) ]^(1/3)
0 = [ (0 + C)/(2pi) ]^(1/3)
0 = [ (C)/(2pi) ]^(1/3)
0^3 =  (C)/(2pi)
0 = C/(2pi)
C/(2pi) = 0
C = 0*2pi
C = 0 

Therefore the h(t) function is...
h(t) = [ (75t + C)/(2pi) ]^(1/3)
h(t) = [ (75t + 0)/(2pi) ]^(1/3)
h(t) = [ (75t)/(2pi) ]^(1/3)

Answer:
h(t) = [ (75t)/(2pi) ]^(1/3)

============================================================

Part C

Your answer is correct. 
Below is an alternative way to find the same answer

--------------------------------------

Plug in the given height; solve for t
h(t) = [ (75t)/(2pi) ]^(1/3)
8 = [ (75t)/(2pi) ]^(1/3)
8^3 = (75t)/(2pi)
512 = (75t)/(2pi)
(75t)/(2pi) = 512
75t = 512*2pi
75t = 1024pi
t = 1024pi/75
At this time value, the height of the water is 8 feet

Set up the radius r(t) function 
r = 2*h
r = 2*h(t)
r = 2*[ (75t)/(2pi) ]^(1/3) .... using the answer from part B

Differentiate that r(t) function with respect to t
r = 2*[ (75t)/(2pi) ]^(1/3)
dr/dt = 2*(1/3)*[ (75t)/(2pi) ]^(1/3-1)*d/dt[(75t)/(2pi)] 
dr/dt = (2/3)*[ (75t)/(2pi) ]^(-2/3)*(75/(2pi))
dr/dt = (2/3)*(75/(2pi))*[ (75t)/(2pi) ]^(-2/3)
dr/dt = (25/pi)*[ (75t)/(2pi) ]^(-2/3)

Plug in t = 1024pi/75 found earlier above
dr/dt = (25/pi)*[ (75t)/(2pi) ]^(-2/3)
dr/dt = (25/pi)*[ (75(1024pi/75))/(2pi) ]^(-2/3)
dr/dt = (25/pi)*[ (1024pi)/(2pi) ]^(-2/3)
dr/dt = (25/pi)*(1/64)
dr/dt = 25/(64pi)
getting the same answer as before

----------------------------

Thinking back as I finish up, your method is definitely shorter and more efficient. So I prefer your method, which is effectively this:
r = 2h, dr/dh = 2
dh/dt = (25)/(2pi*h^2) ... from part A
dr/dt = dr/dh*dh/dt ... chain rule
dr/dt = 2*((25)/(2pi*h^2))
dr/dt = ((25)/(pi*h^2))
dr/dt = ((25)/(pi*8^2)) ... plugging in h = 8
dr/dt = (25)/(64pi)
which is what you stated in your screenshot (though I added on the line dr/dt = dr/dh*dh/dt to show the chain rule in action)
8 0
3 years ago
There are 172 South American animals in the Springdale zoo. That is 45 more than half the number of african animals in the zoo.
patriot [66]
N=number of African animals in the zoo;
we suggest this equation:
172=45+n/2
Least common multiple=2
172*2=45*2+n
344=90+n
n=344-90
n=254

Answer: there are 254 African animals in the zoo.
6 0
3 years ago
Other questions:
  • If mean and median are close does it mean symmetrical
    6·1 answer
  • The positions of two divers from the water's surface after a dive are shown:
    8·1 answer
  • Julia used 1 foit square stone tiles to make a patio. She laid the tiles in a square, 7 tiles wide by 7 tiles long. what isthe a
    14·1 answer
  • Find the area of the triangle. Round your answer to the nearest thousandths. <br><br> A=1/2 bh
    10·1 answer
  • Three pith balls supported by insulating threads hang from a support. We know that ball X is positively charged. When ball X is
    7·1 answer
  • 1.Jon travels 1/2 mile in 1/4 hour. Find the unit rate in miles per hour.
    12·2 answers
  • Which ordered pair can be included in the table of values shown below for the equation p = 25 x minus 2? x 3 9 5 10 p 73 223 123
    13·2 answers
  • Answers+steps please?
    10·1 answer
  • Need help ASAP 30 points and brainliest
    13·1 answer
  • Pleasd help me im so
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!