All categories

3 years ago

Hurry i need this!!!!!!!!!!!!!

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

4 0

ANSWER

$h= 2 \cos(\pi(t + \frac{1}{2} )) + 5$

EXPLANATION

The given equation that models the height is

$h(x) = - 2 \sin(\pi(t + \frac{1}{2} )) + 5$

This is sine a sine function that is reflected in the x-axis.

This function will coincide with the cosine function with the same amplitude, period, phase shift and vertical translation.

The function that can also model this height is

$h= 2 \cos(\pi(t + \frac{1}{2} )) + 5$

The last choice is correct.

You might be interested in

Y=4 + x^5/3 linear it nonlinear

Citrus2011 [14]

Answer: no its not linear

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be

for each of its variables. In this case, the degree of variable

and the degree of variable

Not Linear

7 0

3 years ago

Joel can run around a 14– mi track in 81 sec, and Jason can run around the track in 69 sec. If the runners start at the same poi

Alenkasestr [34]

Answer:37.2 sec

Step-by-step explanation:

Given

Joel takes 81 sec for 14 mile long track

speed of joel $\frac{14}{1.35}$ mi/min=10.37 mi/min

Jason takes 69 sec for 14 mi track

so jason speed is $\frac{14}{1.15} mi/min=12.17 mi/min$

if both starts from same spot in opposite direction then

$\frac{x}{10.37}=\frac{14-x}{12.17}$

where x is distance covered by Joel

then x=6.44 miles

therefore time required

$t=\frac{6.44}{10.37}=0.621 min\approx 37.2 sec$

8 0

4 years ago

6. Chris can buy an online magazine

lakkis [162]

Answer:

$6.88

Step-by-step explanation:

We are trying to compare two options: Buying a magazine for 12 months or for just 1 year.

To solve this, we can multiply the monthly rate by 12 because there are 12 months in a year.

5.99 x 12 = 71.88

The other option is to just pay $65 dollars for a whole year (12 months).

Comparing the two options, we see paying for the whole year is cheaper than paying for each month individually. Because of this, we can subtract $65, the cheaper option, from $71.88 to get $6.88

Chris will save $6.88 by paying for the whole year instead of purchasing for each month.

7 0

4 years ago

Read 2 more answers

T 0 2 4 6 8 10

Butoxors [25]

Answer:

a. 24.12 ft³/hr b. 0.0768 ft/hr

Step-by-step explanation:

a. Find the rate at which the volume of water in the pool is increasing at time t=6 hours.

The net rate of change of volume of the cylinder dV/dt = volume flow rate in - volume flow rate out

Since volume flow rate in = P(t) and volume flow rate out = R(t),

dV/dt = P(t) - R(t)

$\frac{dV}{dt} = P(t) - 18e^{0.04t}$

We need to find the rate of change of volume when t = 6.

From the table when t = 6, P(6) = 47 ft³/hr

Also, substituting t = 6 into R(t), we have R(6)

$\frac{dV}{dt} = P(t) - 18e^{0.04t}$

$\frac{dV}{dt} = 47 - 18e^{0.04X6}\\\frac{dV}{dt} = 47 - 18e^{0.24}\\\frac{dV}{dt} = 47 - 18 X 1.27125\\\frac{dV}{dt} = 47 - 22.882\\\frac{dV}{dt} = 24.118 ft^{3}/hr$

dV/dt ≅ 24.12 ft³/hr

So, the rate at which the water level in the pool is increasing at t = 6 hours is 24.12 ft³/hr

b. How fast is the water level in the pool rising at t=6 hours?

Since the a rate at which the water level is rising is dV/dt and the volume of the cylinder is V = πr²h where r = radius of cylinder = 10 ft and h = height of cylinder = 5 feet

dV/dt = d(πr²h)/dt = πr²dh/dt since the radius is constant and dh/dt is the rate at which the water level is rising.

So, dV/dt = πr²dh/dt

dh/dt = dV/dt ÷ πr²

Since dV/dt = 24.12 ft³/hr and r = 10 ft,

Substituting the values of the variables into the equation, we have that

dh/dt = dV/dt ÷ πr²

dh/dt = 24.12 ft³/hr ÷ π(10 ft)²

dh/dt = 24.12 ft³/hr ÷ 100π ft²

dh/dt = 0.2412 ft³/hr ÷ π ft²

dh/dt = 0.2412 ft³/hr

dh/dt = 0.0768 ft/hr

So, the arate at which the water level is rising at t = 6 hours is 0.0768 ft/hr

3 0

3 years ago

Eric is reading a book that has 144 pages. He reads 8 pages a day. How many days will it take Eric to finish reading the book?

AnnZ [28]

Answer:

It will take him 18 days to finish the book.

Step-by-step explanation:

$144/8=18$

8 0

4 years ago

Read 2 more answers