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maks197457 [2]
3 years ago
13

Relative to the graph of y=3sinx what is the shift of the graph of y=3sin(x+pi/3)

Mathematics
1 answer:
DochEvi [55]3 years ago
4 0
The shifts of the sinus function can be described with the formula:
<span>a<span>sin<span>(<span><span>bx</span><span>−c</span></span>)</span></span></span>+<span>d, where
a is the amplitude
b is  the period
c is the phase shift 
d is the vertical shift
So, the graph y=3sinx is phase shifted. The phase shift can be calculated as c/b= pi/3/1=pi/3
So, the function is phase shifted for pi/3.</span>
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A restaurant sells burritos for $8.00 each. The cost of the meat is $1.50 and the cost of the other ingredients is $1.00 for eac
Zina [86]

Answer: $550

Step-by-step explanation:                                                                                                                            

How much is the profit for 1 burrito?: $8 - ($1.50+$1) = $5.5

So, profit for 100 burritos is $5.5 x 100 = $550.

Hope this helps.

4 0
3 years ago
Read 2 more answers
2 Nine identical circles are cut from a square sheet of paper whose sides are
Ivanshal [37]

Answer:

278.64cm²

Step-by-step explanation:

Area of the sheet left out = Area of the square - Area of the 9 circles

Area of the square = L^2

L is the side length of the square

A = 36^2

Area of the square = 1296cm^2

Diameter of a circle = 38/3 = 12cm

Area of a circle = πr²

r is the radius = 12/2 = 6cm

Area of a circle = 3.14(6)²

Area of a circle = 3.14 * 36

Area of a circle = 113.04cm²

Area of 9 circles = 9 * 113.04

Area of 9 circles = 1,017.36cm²

Area of the left over = 1296 - 1,017.36

Area of the left over = 278.64cm²

6 0
3 years ago
Closed circle on 2 to closed circle on 6
Stella [2.4K]

Answer:

see the explanation

Step-by-step explanation:

we have

closed circle on 2 to closed circle on 6

That means -----> All real numbers greater than or equal to 2 and less than or equal to 6

In interval notation is ------> [2,6]

In set builder notation is ----> { x ∈ R | x ≥ 2 and x ≤ 6 }

7 0
3 years ago
A. A fair 6-face die will be rolled some number of times, and you win if it shows an ace (one spot) 20% or more of the time. Oth
butalik [34]

Answer: The complete question is found in the attachment

Step-by-step explanation:

Law of large numbers: The probability of occurrence of an event becomes closer to the theoretical probability as the number of trials increases

P(an ace) = 1/6

= 0.1667

= 16.67%

a) In 600 rolls, the value will be close to 16.67. compared to 60 rolls

Greater than 20% interval doesn't include 16.67%. So, for more than 20% ace, 60 rolls is better.

b) More than 15% interval includes 16.67. So, it is better to roll 600 times

c) The interval between 15% and 20% include 16.67% and hence, 600 rolls is better

d) Larger number of trials is better to get exactly 16

So, 600 rolls is better

4 0
3 years ago
The dimensions of a rectangular prism are shown below: Length: 1 and 1 over 3 feet Width: 1 foot Height: 2 and 1 over 3feet The
Andreas93 [3]

9514 1404 393

Answer:

  • 84 small cubes
  • 3 1/9 unit cubes

Step-by-step explanation:

A cube that is 1/3 ft on a side will fit 3 in a foot. In terms of the 1/3 ft small cube, the dimensions of the prism are ...

  1 1/3 ft = 4 small cubes

  1 ft = 3 small cubes

  2 1/3 ft = 7 small cubes

Then the volume in terms of small cubes is ...

  V = LWH = (4)(3)(7) = 84 small cubes

__

There are 3×3×3 = 27 small cubes in a 1-ft unit cube, so the prism volume in terms of unit cubes is ...

  84/27 = 3 1/9 . . . unit cubes

__

<em>Additional comment</em>

The largest dimension of the prism is just over 2 ft, so the maximum number of unit (1 ft) cubes that will fit is 2. To fill the volume with 3 1/9 unit cubes, those would have to be cut and fit into the space.

8 0
3 years ago
Read 2 more answers
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