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3 years ago

What is the amplitude of y = 4 cos 3x? oc o timmt

Mathematics

1 answer:

JulijaS [17]3 years ago

4 0

Answer:

The amplitude is 4

Step-by-step explanation:

Recall that the amplitude of a harmonic form like this one based on the cosine function is the absolute value of the coefficient that multiplies the function. In our case that coefficient is 4.

So the amplitude of this function is "4".

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Daniela and Jack are hiking a steady incline. They use their GPS device to determine their elevation every 15 minutes. At 15 min

kow [346]

Answer:

$h=40t+9700$

where the elevation, h, is in feet and time, t, is in minutes.

Step-by-step explanation:

At the time, $t_1=15$ min, the elevation, $h_1= 10,300$ feet and

at the time $t_2= 30$ min, the elevation, $h_2=10,900$ feet.

As they are hiking a steady incline, so the change in the elevation with respect to time will be constant.

So, there will be a linear relationship between the elevation and the time.

Let $h$ be the elevation at any time instant $t$ , so the linear relation among these quantities is

$h=mt+C_0\;\cdots(i)$

where $m$ is the rate of change of elevation with respect to time and $C_0$ is constant.

The change in the elevation, $\Delta h=h_2-h_1= 10,900-10,300=600$ feet.

and the change in time, $\Delta t=t_2-1_1=30-15=15$ min.

So, change in the elevation in unit time,

$m=\frac{\Delat h}{\Delta t}=\frac{600}{15}=40$ feet/min.

Now, from equation (i)

$h=40t+C_0$

As the elevation, $h=h_1$ at time $t=t_1$ , so

$10,300=40\times15+C_0$

$\Rightarrow C_0=9700$

Hence, the required equation is

$h=40t+9700$

where the elevation, $h$ , is in feet and time, $t$ , is in minutes.

3 0

2 years ago

Heather hits a tennis ball upward with an initial speed of 32 feet per second. After how many seconds does the ball hit the grou

Mrrafil [7]

set h=0 and solve for t

So: 0 = 32t - 16^2

32t−16t2=016t(2−t)=0t=2

3 0

3 years ago

Read 2 more answers

If you borrow $1500 for a year with a credit card that charges 26.8% annual interest, how much interest will you pay for the yea

Anarel [89]

Answer:

$402

Step-by-step explanation:

Interest = principal x rate x time

I = 1500 x .268

I = $402

5 0

2 years ago

Jill wrote the number 40 if her rule is add 7 whats is the fourth nymber in jills pattern how many can you check you answer

Rudik [331]

Answer:

Step-by-step explanation:

1) 40+7=47

2) 47+7=54

3) 54+7=61

4) 61+7=68

6 0

3 years ago

Colin buys a tv for £800. It depreciates at a rate of 1% per year. How much will it be worth in 2 years? Give your answer to the

bezimeni [28]

Answer: £784.08

Step-by-step explanation:

First find 1% of 800, which is 800/100=£8

800-8= £792 after 1 year

find 1% of 792, which is 792/100=£7.92

792-7.92= £784.08

6 0

3 years ago