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Luden [163]
2 years ago
14

A 4500.00 g bowling ball rolling at a 4.0m/s I NEED HELPPP ASAPPP

Mathematics
1 answer:
Ratling [72]2 years ago
5 0

Answer:

12

Step-by-step explanation:

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Does - 3/4 + 3/5 have a positive, negative or zero sum?
ryzh [129]

are you looking for the answer??

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A small farm field is a square measuring 320 ft on a side. What is the perimeter of the field? If you double the length of each
Marina CMI [18]

Answer:

old per: 1280

new per:2560

Step-by-step explanation:

first perimeter u get it by adding all the sides and since its a square  then all the sides are equal so u can just do

320*4 which is equal to 1280

and by doubling the sides u can just double it in the old equation meaning

(320*2)*4

which is equal to 2560

6 0
3 years ago
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Find the equation of the line.
zhuklara [117]

Answer:

y=-1/3x-2

Step-by-step explanation:

First off, lets outline that parallel lines have the <u>Same Slope</u>. So we can plug in -1/3 as our slope, or m.

Lets plug in -1/3 as our slope in Point Slope form to find the y intercept. Point slope form should be attached in an image below.

1) Plug slope and points into point slope form:

y+1=-1/3(x+3)

2) Distribute -1/3 to x and 3:

y+1=-1/3x-1

3) Subtract 1 from both sides:

y=-1/3x-2

Now we have our answer is slope intercept form!

Please let me know if you have any questions :)

3 0
3 years ago
Simplify 7N - 2N + 3P + 2P. (a) 5N + 5P (b) 10N + 10P (c)10NP
Yakvenalex [24]
<span>7N - 2N + 3P + 2P

Combine like terms: 
7N-2N=5N 

3P+2P=5P 

Put them together to get :
5N+5P

Final answer: 
A</span>
7 0
3 years ago
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The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs five times as much
Y_Kistochka [10]

Answer:

x = ∛ 2*V/5  

y = ∛ 2*V/5

h  = V/ ∛ 4*V²/25

Step-by-step explanation:

Dimensions of the aquarium base is  x*y

We call c₁ cost per unit area of the sides, then cost per unit area of slate is equal 5c₁.

let call h the height of the aquarium then volume of the aquarium is:

V = x*y*h      where   h =  V / x*y

As the base is a rectangular one there are 2 sides x*h .  and 2 sides  y*h

According to this:

Ct (cost of aquarium )  = cost of the base  + cost of the sides

cₐ  ( cost of the base) = 5*c₁*x*y

c₆ (cost of the sides ) = c₁*2*x*h   +   c₁*2*y*h

C(t)  =  5*c₁*x*y +2* c₁*x* V/x*y  +  2* c₁*y* V/x*y    or

C(t)  =  5*c₁*x*y  + 2*c₁*V/y   *2*c₁* V/x

Taking partial derivatives en x and y we have:

C´(x)  =  5*c₁*y - 2*c₁*V/x²

C´(y)  =  5*c₁*x - 2*c₁*V/y²

C´(x)  = C´(y)        ⇒  5*c₁*y - 2*c₁*V/x²  =   5*c₁*x - 2*c₁*V/y²

or    5*y - 2*V/x²  =   5*x - 2*V/y²

(5*y*x² - 2*V)/x²  = ( 5*y²x - 2*V) /y²

(5*y*x² - 2*V)*y²  = ( 5*y²x - 2*V)*x²

5*y³*x² - 2*V*y²  =  5*y²x³  - 2*V*x²

5*y³*x² - 5*y²x³  =  2*V * ( y² - x²)

by symmetry  x =  y

Then using x = y  and plugging that value on the derivatives

C´(x) =  5*c₁*y - 2*c₁*V/x²

C´(x) =  5*c₁*x - 2*c₁*V/x²

C´(x) = 0          ⇒     5*c₁*x - 2*c₁*V/x²  = 0

5*x  - 2*V/x² = 0      ⇒  5*x³ - 2*V = 0   ⇒   5*x³  = 2*V  ⇒ x³ = 2*V/5

x = ∛ 2*V/5       and   y = ∛ 2*V/5    and   h  =  V/ x*y    h  = V/ ∛ 4*V²/25

7 0
3 years ago
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