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3 years ago

Solve the inequality. 10k <75 and 4-k is less than or equal to 0

Mathematics

2 answers:

andrey2020 [161]3 years ago

4 0

defon3 years ago

3 0

Is it 10k < 75 , 4-k?

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What are the amplitude, period, and phase shift of the given function? f(t)=-1/2sin(3t-2pi)

Romashka [77]

Answer:

The $amplitude=|A|=\frac{1}{2}$ , $period=3$ and $\text{phase shift}=\frac{2\pi}{3}$ .

Step-by-step explanation:

The given function is

$f(t)=-\frac{1}{2}\sin (3t-2\pi)$ .... (1)

The general form of sine function is

$F(t)=A\sin (Bt-C)+D$ ....(2)

where, |A| is the amplitude, B is period, D is the vertical shift (up or down), and C/B is used to find the phase shift.

On comparing (1) and (2), we get

$A=-\frac{1}{2}$

$B=3$

$C=2\pi$

$D=0$

So,

$amplitude=|A|=\frac{1}{2}$

$period=3$

$\text{phase shift}=\frac{2\pi}{3}$

Therefore $amplitude=|A|=\frac{1}{2}$ , $period=3$ and $\text{phase shift}=\frac{2\pi}{3}$ .

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3 years ago

Find the constant of proportionality for b) y=2x

natima [27]

Answer:

The constant of proportionality is 2.

Step-by-step explanation:

In an equation for which we are looking for the constant of proportionality, we use the base form below.

y = kx

In which k is the constant of proportionality. If we use the equation given

y = 2x

We can see k = 2

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2 years ago

Please help me answer this.

Kitty [74]

Answer:

128

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask!!!

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Step-by-step explanation:

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2 years ago

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Mkey [24]

About 7.5 miles if you divide 45/3 is 15 so divide 15/2 which is 7.5

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2 years ago

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