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Vladimir [108]
4 years ago
13

Complete the general form of the equation of a sinusoidal function having an amplitude of 1, a period of pi/2 , and a vertical s

hift up 3 units.
Mathematics
1 answer:
lisov135 [29]4 years ago
8 0
Sinusoidal equations are trigonometric functions involving sine and cosine functions. Graphically, they look like wave patterns having amplitudes and periods. The general form of a sinusoidal equation is 

y = A sin(Bx + C) + D

where

A = amplitude
B = frequency
C = shift on starting angle
D = shift of wave on the y-axis

From the given problem, A = 1 and D = 3. There is no value for C because there is no mention of any shift in angle. About the frequency, you can obtain this by getting the reciprocal of the period. Thus, B = 2/π. The complete equation is

y = sin(2x/π) + 3
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Find three consecutive integers whose sum is 558
SIZIF [17.4K]
Those are 185, 186 and 187

What you do is create this system of equations:

x+y+z=558  (three integers add up to 558)
x+1=y  (they are consecutive, so that is translated as a number+1)
y+1=z (same logic as before)

And then you just resolve that system.
8 0
3 years ago
How to solve 3(6x+2x)=8(5x+6)-4x
djyliett [7]

First, you are going to distribute the 3 into the (6x+2x) and the 8 into the (5x+6). After that, the parenthesis should be gone. Then, move all the x values to one side, and the constants to the other. Then, solve as you normally would.

6 0
3 years ago
A hungry math teacher ate 3 steak tacos, 2 chicken tacos, and 5 potato tacos. What is the ratio of chicken tacos to TOTAL tacos
natali 33 [55]

Answer:

the ratio is 1:5 or 20%

Step-by-step explanation:

3(steak)+2(chicken) + 5(potato) = 10(all tacos)

2(chicken tacos)/10(all tacos) = 1/5 or 0.2

7 0
3 years ago
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0.000701 to a scientific notation
slega [8]

7.01×10^-4. udufhfhf

7 0
3 years ago
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Select the simplification that accurately explains the following statement.
lutik1710 [3]

Answer:

Option (b) is correct.

(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}=2^{1}=2

Step-by-step explanation:

Given: (2^\frac{1}{4} )^4

We have too choose the correct simplification for the given statement.

Consider (2^\frac{1}{4} )^4

Using property of exponents, (a^m)^n=a^m\times a^m\times a^m\times ....\times (n\ times)

We have,

(2^\frac{1}{4} )^4=2^\frac{1}{4} \times 2^\frac{1}{4}\times 2^\frac{1}{4}\times 2^\frac{1}{4}

Again applying property of exponents  a^m\times a^m=a^{n+m}

We have,

(2^\frac{1}{4} )^4=2^{(\frac{1}{4}+ \frac{1}{4}+ \frac{1}{4}+ \frac{1}{4} )}

Simplify, we have,

(2^\frac{1}{4} )^4=2^{\frac{4}{4}}

we get,

(2^\frac{1}{4} )^4=2^{1}=2

Thus, (2^\frac{1}{4} )^4=2

Option (b) is correct.

   

8 0
3 years ago
Read 2 more answers
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