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4 years ago

10

a virus infected 400 people in the town and it spread and 25% more people each day. write an exponential function to model this

situation then find the number of people that will be infected in 10 days

1 answer:

Leto [7]4 years ago

3 0

Answer:

Step-by-step explanation:

f(t)= a(1+r)^t

f(10)= 400(1+0.25)^10

f(10)=3725.3

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2. 144 in.<br> C<br> yd<br> Pls someone help I have a test tomorrow

MatroZZZ [7]

what are you asking im confused

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3 years ago

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1. The total number of seats in an auditorium is modeled by f(x) = 2x2 – 6x, where x represents the number of rows. How many row

irakobra [83]

Answer:

Jose's solution is not correct, the auditorium has $16$ rows

Step-by-step explanation:

we have

$f(x)=2x^{2} -6x$

where

f(x)------> is the total number of seats in an auditorium

x----> represents the number of rows

How many rows are there in the auditorium if it has a total of 416 seats?

Find the value of x for f(x)=416 seats

substitute the value of f(x) in the equation

$416=2x^{2} -6x$

$2x^{2} -6x-416=0$

Using a graphing calculator

The values of x are $x=-13, x=16$

The solution is

x=16 rows because the number of rows can not be a negative number

8 0

3 years ago

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t) = -4.9t^2

Sauron [17]

Answer:

A.) 24.08 seconds

B.) 825.42 metres

Step-by-step explanation:

function of time is given as

h ( t ) = − 4.9 t 2 + 118 t + 115 .

Where a = -4.9, b = 118, c = 115

Let's assume that the trajectory of the rocket is a perfect parabola.

The time t the rocket will reach its maximum height will be at the symmetry of the parabola.

t = -b/2a

Substitute b and a into the formula

t = -118/-2(4.9)

t = 118/9.8

t = 12.041 seconds

Since NASA launches the rocket at t = 0 seconds, the time it will splash down into the ocean will be 2t.

2t = 2 × 12.041 = 24.08 seconds

Therefore, the rocket splashes down after 24.08 seconds.

B.) At maximum height, time t = 12.041s

Substitute t for 12.041 in the function

h ( t ) = − 4.9 t 2 + 118 t + 115

h(t) = -4.9(12.041)^2 + 118(12.041) + 115

h(t) = -4.9(144.98) + 118(12.041) + 115

h(t) = -710.402 + 1420.82 + 115

h(t) = 825.42 metres

Therefore, the rocket get to the peak at 825.42 metres

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4 years ago

Which rules of exponents will be used to evaluate this expression? Check all that apply. [(-8)^4]-5 (-8)6

IRISSAK [1]

Definitely product of powers

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3 years ago

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Mitch borrowed $500 from his brother. He mows lawns after school and on the weekends. He charges $32 a lawn and pays his friend

alexgriva [62]

Let's take this one at a time starting from the brother's net income because this would be the root basis. We let x be the number of lawns his brother and Tom mowed.

Brother's Net Income = 32x - 12x = 20x

Mitch promises to pay the borrowed money of $500 plus 40% of what his brother earns. The algebraic equation for this is:

Mitch's payment = $500 + 0.4(20x) = $500 +$8x

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3 years ago

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