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3 years ago

6

The graph of sinusidal function intersects its midline at (0,-3) and then has a maximum point at (2,-1.5). Write the formula of

the function.
please help me asap

2 answers:

maxonik [38]3 years ago

5 0

Solutions

Mid line: y = -3

Amplitude: -1.5 - (-3) = 1.5

From mean line to max is ¼ of a cycle:

Period = 4 × 2 = 8

No. of cycles in 2pi:

2pi/8 = pi/4

y = 1.5sin[(pi/4)x] - 3

Crank3 years ago

4 0

Answer:

y = 1.5sin[(pi/4)x] - 3

Step-by-step explanation:

Mid line: y = -3

Amplitude: -1.5 - (-3) = 1.5

From mean line to max is ¼ of a cycle:

Period = 4 × 2 = 8

No. of cycles in 2pi:

2pi/8 = pi/4

y = 1.5sin[(pi/4)x] - 3

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3 years ago

Currently, the number of people entering a shopping mall is 109. It is estimated that the number of people entering the shopping

seropon [69]

Answer:

96 people.

Step-by-step explanation:

Exponential equation for a decreasing amount:

The exponential equation for a decreasing amount is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial rate and r is the decay rate, as a decimal.

Currently, the number of people entering a shopping mall is 109.

This means that $A(0) = 109$

It is estimated that the number of people entering the shopping mall will decrease by 3% each hour.

This means that $r = 0.03$

So

$A(t) = A(0)(1-r)^t$

$A(t) = 109(1-0.03)^t$

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Find the total number of people entering the shopping mall at the end of 4 hours.

This is A(4). So

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Rounding to the nearest whole number, 96 people.

6 0

3 years ago

How do I do this I am trying to find what d is so all together in the end it has to equal 180 degrees

AleksandrR [38]

It shouldn't add up to 180 degrees, you're looking for the length of the sides not the degree of the angle. Because it's an equilateral triangle, all sides are the same, so you can just set them equal to each other. D=5

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4 years ago

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lilavasa [31]

B
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4 years ago

Read 2 more answers

Angle DEB is 42. State the size of angle ABD

Kay [80]

Answer:

The answer would be 80 ° because 5×( 2 + 13 or x +1 ) is 80

Step-by-step explanation:

ABD is 80°

If DEB is 42 °

∠ ABD = 5(2X+1)

∠ DBC = 3X+6

∠ EBC = Y +135/2

∠ ABD and ∠ DBC are linear pairs

∴ ∠ ABD +∠ DBC = 180

∴ 5(2X+1) + 3X+6 =180

solve for x

∴ x = 13

∴∠ ABD = 5(2X+1) = 5(2*13+1) = 135

∠ DBC = 3x+6 = 3*13+6 = 45

∠ ABD and ∠ EBC are vertical angles

∴ ∠ ABD = ∠ EBC = 135

∴ y +135/2 = 135

∴ y = 135/2

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3 years ago