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3 years ago

How many batches of trail mix can I make?

Mathematics

2 answers:

valina [46]3 years ago

8 0

Answer:

Step-by-step explanation:

amm18123 years ago

4 0

You Can make 4 trail mixes

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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° )

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 ]

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 ]

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

2 years ago

It takes a total of 6 hours to fill up an inground backyard pool using a standard house. A function can represent this situation

frez [133]

Answer:

All real numbers between 0 and 6

Step-by-step explanation:

We know, the function represents 'the amount of water in the pool until it is full'.

That is, 'It is a function of time giving the value of amount of water in the pool until it is full'.

So, we get that,

The domain is representing the time in which the pool is filled completely.

As, we are given that,

Maximum time taken to completely fill the pool = 6 hours.

So, the domain of the functions is 'All real numbers between 0 and 6'.

5 0

3 years ago

Dot collected rainfall data for five days in October. If the total rainfall for the five days was 2.63 inches, how much rain fel

Amanda [17]

0.34 + x + 1.11 + 0.17 + 0.43 = 2.63

x + 2.05 = 2.63

x + 2.05 (-2.05) = 2.63 (-2.05)

x = 0.58

0.58 in fell in Day 2

hope this helps

6 0

3 years ago

Read 2 more answers

Pls help help help help help help help

Nutka1998 [239]

Answer:

y=-2x+5

Step-by-step explanation:

slope is going down 2 over 1

y-int is 5

8 0

2 years ago

Which system of equations is graphed below? On a coordinate plane, a line goes through (0, 1) and (4, negative 2) and another go

natulia [17]

Answer:

The correct option is (B)

(B) x-y = 6 , 3x+4y = 4

Step-by-step explanation:

As we can see in the graph given below, both lines intersect at (4, -2), which should be the solution of given equations:

Find the values of x and y for (B);

x - y = 6 ⇒ (i)

3x + 4y = 4 ⇒ (ii)

Lets consider equation (i)

x - y = 6

x = 6 + y

Substitute in equation (ii)

3(6+y) + 4y = 4

18 + 3y + 4y = 4

7y = -14

y = -2

Substitute in equation (i)

x - (-2) = 6

x + 2 = 6

x = 6 - 2

x = 4

As solution of part C is also (4, -2), it represents the graph

You can also find the (x, y) for other options the similar way, which will show you they don't have the same value

4 0

3 years ago

Read 2 more answers