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VashaNatasha [74]
3 years ago
10

Can somebody explain PEMDAS (Order of Operations) to me?

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
6 0

It's simple.

P - Parentheses

E - Exponents

D - Division

M - Multiplication

A - Addition

S - Subtraction

Whenever we have an expression or problem that involves these operations. We solve them according to the order given above.

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A spherical balloon is inflated so that its volume is increasing at the rate of 3 ft3/min. How fast is the diameter of the ballo
beks73 [17]

When an spherical balloon volume is increasing at the rate of 3ft^3/min then the diameter of the balloon is increasing \frac{3}{2\pi }ft /min

How can we find the rate of change of balloon's diameter ?

The volume of a spherical balloon is v=\frac{4}{3} \pi r^3

In form of diameter we can write as

v=\frac{4}{3} \pi (\frac{D}{2} )^3\\=\frac{1}{6} \pi D^3

Now we will differentiate both sides wrt to t we get

\frac{dv}{dt} =\frac{1}{6} \pi 3D^2 \frac{dD}{dt} \\\frac{dD}{dt} =\frac{2}{\pi D^2} \frac{dv}{dt} \\\\when r=1\\D=2ft

Given in the question \frac{dv}{dt} =3ft^3/min

thus when we substitute the values we get

\frac{dD}{dt} =\frac{2}{\pi *2^2} (3)\\\frac{dD}{dt}=\frac{3}{2\pi }  ft/min

Learn more about the differentiation here:

brainly.com/question/28046488

#SPJ4

3 0
2 years ago
Keisha throws a rock down an old well the distance D in Feet The Rock Falls after T seconds can be represented by D =16t ^ 2 + 6
sesenic [268]

Answer:

<em>1</em><em> </em><em>second</em><em> </em>

Step-by-step explanation:

<em>16t</em><em>^</em><em>2</em><em>+</em><em>64t</em><em>=</em><em>80</em>

<em>16t</em><em>^</em><em>2</em><em>+</em><em>64t-80</em><em>=</em><em>0</em>

<em>64</em><em>^</em><em>2-4</em><em>(</em><em>16</em><em>)</em><em>(</em><em>-80</em><em>)</em>

<em>9216</em>

<em>-64-96</em>

<em>______</em><em> </em><em>=</em><em> </em><em>-5</em>

<em> </em><em> </em><em> </em><em>32</em>

<em>-64</em><em>+</em><em>96</em>

<em>_______</em><em> </em><em>=</em><em> </em><em>1</em><em> </em><em>sec</em>

<em> </em><em> </em><em> </em><em> </em><em>32</em>

7 0
3 years ago
Find the distance points (7,-2) (3,1)
grandymaker [24]

Answer:

5

or

square root of 25

Step-by-step explanation:

I used my ti-84 plus ce calculator to solve

>download DISTMID

>prgm

>DISTMID

>DISTENCE

>enter points

>answer

3 0
3 years ago
I need help please to find the answer
Katena32 [7]
B! If you draw the line of symmetry diagonally, you have two triangles
5 0
3 years ago
Read 2 more answers
g 1.32 Two points on a sphere of radius 3 are given as P1(3,0,30) and P2(3,45,45): (a) Find the position vectors of P1 and P2. (
Rama09 [41]

Answer:

a) P.V  of is OP₁ = [ 1.5i + 0j + 2.6k ],   P.V  of is OP₂ = [ 1.5i + 1.5j + 2.12k ]

b) Vector connecting P₁ to P₂ is [ 0i + 1.5j + 0.48k ]  

c) cylindrical coordinates are (1.5, π/2, 0.48)

Step-by-step explanation:

Given that;

r = 3

P₁ ( 3, 0°, 30° ),   P₂ ( 3, 45°, 45° )

a)

P.V of P₁

x = rcos∅sin∅ = 3(cos0°) ( sin30°) = (3 × 1 × 0.5) = 1.5

y = rsin∅sin∅  = 3(sin0°) (sin30°)   = (3 × 0 × 0.5) = 0

z = rcos∅        = 3(cos30°)             = ( 3 × 0.866)  = 2.6

∴ P.V  of is OP₁ = [ 1.5i + 0j + 2.6k ]

P.V of P₂

x = rcos∅sin∅ = 3(cos45°) ( sin45°) = (3 × 0.7071 × 0.7071) = 1.5

y = rsin∅sin∅  = 3(sin45°) (sin45°)   = (3 × 0.7071 × 0.7071) = 1.5

z = rcos∅        = 3(cos45°)                 = ( 3 × 0.7071)            = 2.12

∴ P.V  of is OP₂ = [ 1.5i + 1.5j + 2.12k ]

b)

Vector connecting P₁ to P₂ is given by

OP₂ - OP₁ = [ 1.5i + 1.5j + 2.12k ] - [ 1.5i + 0j + 2.6k ]

= [ 0i + 1.5j + 0.48k ]  

c)

P₁P₂ → = [ 0i + 1.5j + 0.48k ]  = [ 1.5j + 0.48k ]  

so in a cylindrical coordinate, it should be

r = √(o² + 1.5²) = 1.5

∅ = tan⁻¹[y/π] = π/2

z = 0.48

cylindrical coordinates are (1.5, π/2, 0.48)

5 0
3 years ago
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