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Misha Larkins [42]
3 years ago
8

During an outbreak of the flu, a hospital recorded 24 cases the first week, 84 cases the second week, and 294 cases the third we

ek. Which recursive formula can you use to determine the number of flu cases recorded in the nth week?
Mathematics
2 answers:
Ksenya-84 [330]3 years ago
8 0
Take the # in the last week and times it by 3.5 than you should get the next week. ex: if you wanted to find the 9th week you could do 84 times 3.5 8 times

Juli2301 [7.4K]3 years ago
4 0

Answer:

a1=24

an=(an-1)(3.5)

Top left option in Imagine Math

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Someone give me the answer
Butoxors [25]

a function that model the number of people that receives email in week t  is P(t)=37(4)^{\frac{t}{9.1}} .

<u>Step-by-step explanation:</u>

Here we have , Tobias sent a chain letter to his friends . The number of people who receives the email increases by a factor of 4 in every 9.1 weeks , and can be modeled by a function P, which depends on the amount of time t weeks . Tobias initially sent letter to 37 friends . We need to write a function that model the number of people that receives email in week t . Let's find out:

Basically it's an exponential function as

f(x) = e^{ax} , In question initial value is 37 & and for every 9.1 weeks there is increase in people by a factor of 4 i.e.

⇒ P(t)=37(4)^t

But , wait ! People increase in every 9.1 weeks not every week so modified equation will be :

⇒ P(t)=37(4)^{\frac{t}{9.1}}

Therefore , a function that model the number of people that receives email in week t  is P(t)=37(4)^{\frac{t}{9.1}} .

4 0
3 years ago
an aircraft carrier leads port heading due west at 28 knots. A helicopter is 175 nautical miles from the carrier at an angle of
emmainna [20.7K]
Let’s say it takes time t hours for the interception.
In that time the carrier travels 28t nm west and the helicopter 130t nm.
Now we use the sine rule to find the angle x which lies between the distance 175 and 130t.
sin(x)/28t=sin35/130t. So sin(x)=28sin35/130=14sin35/65=0.1235 and x=7.0964 degrees.
Therefore the helicopter should use a bearing of 35+7.0964=42.0964 degrees north of east or 47.9 degrees east of north approx.
8 0
3 years ago
A cone has a radius of 5 ft and a height of 15 ft. It is empty and is being filled with water at a constant rate of 15 15 ft 3 f
kvasek [131]

Answer:

\frac{dr}{dt}=0.11062ft/sec

Step-by-step explanation:

From the question we are told that:

Radius r=5ft

Height H=15ft

Rate R=15ft/3sec =5ft/s

Surface Radius R_{surf}=2.2ft

Generally the equation for Volume is mathematically given by

 V=\frac{1}{3}\pi*r^2h

Since radius to height ratio gives

 \frac{r}{h}=\frac{5}{15}

 \frac{r}{h}=\frac{1}{3}

 h=3r

Therefore

 V=\frac{1}{3}\pi*r^2(3r)

 V=\pi r^3

Generally the equation for Change of Volume is mathematically given by

 \frac{dv}{dt}=\pi \frac{d}{dt}(r^3)

 \frac{dv}{dt}=\pi 3*r^2 \frac{dr}{dt}

 \frac{dv}{dt}=\pi 3*(2.2)^2 \frac{dr}{dt}

 \frac{dr}{dt}=\frac{5}{45.62}

 \frac{dr}{dt}=0.11062ft/sec

3 0
3 years ago
Steps of 5(x+2)=24-2x
Oxana [17]

Answer:

D

Step-by-step explanation:

It just is trust

6 0
3 years ago
Read 2 more answers
What is true about the sum of the two polynomials?<br> 6s^2t – 2st^2<br> 4s^2t – 3st^2
Snowcat [4.5K]
The sum is 10s^2t-5st^2. With two separate sections it’s a binomial, and the sum of the powers of the variables is 2+1=3, it has a degree of 3.
7 0
3 years ago
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