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satela [25.4K]
2 years ago
5

Can some body help me for this problem, and thanks for the help

Mathematics
1 answer:
gulaghasi [49]2 years ago
5 0

The exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.

<h3>What is exponential decay?</h3>

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have an exponential function:

\rm  b_1(t) = 500(1.6)^t

a) As the base of the exponent is greater than 1 so it is exponential growth.

b) 500 in the equation represents the initial value.

c) We have another exponential equation:

\rm  b_2(t) = 800(1.6)^t

For exponentikal gropwth:

1 + r = 1.6

r = 0.6 or

r = 6%

In the equation:

\rm  b_1(t) = 500(1.6)^t

The number of bacteria initially was 500 and from the second the number of bacteria initially was 800.

Thus, the exponent is greater than 1 so it is exponential growth, 500 in the equation represents the initial value, and the growth rate in the second equation is 6%.

Learn more about exponential decay here:

brainly.com/question/14355665

#SPJ1

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What is the area of a rectangle measuring 13x12 in
Katen [24]

Answer:

A = 156 in ^2

Step-by-step explanation:

A of a rectangle is given by

A = l*w

A = 12*13

A = 156 in ^2

3 0
3 years ago
Read 2 more answers
Please help and thank you. ​
Marina CMI [18]

Answer:

4.

  • 400 ft elevation at 1 km and 3 km from the start
  • 300 ft/km average rate of change over the first 4 km

5.

  • length = 3.5 cm
  • width = 3.5 cm
  • height = 7.0 cm

6.

  • 6 mo: $1018.14
  • 5 yrs: $1196.89
  • avg incr: $3.28 per month

Step-by-step explanation:

<h3>4.</h3>

A graphing calculator is handy for solving problems involving cubic polynomials. You're interested in where the elevation is 400 ft. Since the value of f(x) is in hundreds of feet, you want to find x such that f(x) = 4.

Values of x where that is the case are x=1 and x=3, representing distances of 1 km and 3 km from the start of the road.

The average rate of change of elevation is the difference in elevation divided by the difference in distance from the start:

  average rate of change = (f(4) -f(0) hundred ft)/((4 - 0) km)

  = (19 -7)/4 hundred feet/km

  = 12/4  hundred feet/km = 300 ft/km

___

<h3>5.</h3>

You want to find x when ...

  A(x) = 122.5 cm²

  10x² = 122.5 cm² . . . . substitute the given expression for A(x)

  x² = 12.25 cm² . . . . . . divide by 10

  x = √(12.25 cm²) = 3.5 cm . . . . take the square root

The diagram tells you ...

  length = width = x = 3.5 cm

  height = 2x = 7.0 cm

___

<h3>6.</h3>

Evaluate the given expression for the different values of m:

  $1000·1.003^6 ≈ $1018.14 . . . . 6-month value

  $1000·1.003^60 ≈ $1196.89 . . . . 5-year value

The increase is $1196.89 -1000.00 = $196.89. That increase took place over 60 months, so the average increase per month is ...

  $196.89/(60 mo) ≈ $3.28 per mo . . . . average per month over 5 years

8 0
4 years ago
Each letter of L I T T R E L L is written on a card. The cards are placed in a basket. Find each probability if Elsa selects a c
masya89 [10]

Step-by-step explanation:

7. I believe it's independent because it makes sense and if it was dependent it wouldn't make senses.

8.For T you have 2 (Ts) so that give you a 2/8= 25% so you would basically make those Ts disappear and focus on 1 out of 6 and you'd get a 16.67% chance

9. 14.2857%

10. I don't understand ;-; am I suppose to multiply or see the chance if % it would get

I'm sorry;-;

5 0
3 years ago
The pool table has a height of 7ft. Side one is 18ft and side two is 17 ft. What is the area and perimeter?
prohojiy [21]

Answer:  

area = 2,142

perimeter = 70

Step-by-step explanation:

area = length x width x height

a=18 x 17 x 7

perimeter = all sides added together and assuming it is a rectangle...

p=18 + 18 + 17 + 17

8 0
3 years ago
) Thirty percent of the students in a management class are graduate students. A random sample of 3 students is selected. a) Usin
adell [148]

Given Information:  

Probability of success = 30%

Sample size = n = 3

Variable of interest = x = 2  

Required Information:  

Probability of exactly 2 graduates = ?

Answer:

Probability of exactly 2 graduates = P(2; 3, 0.30) = 0.189

Step-by-step explanation:

The given problem can be modeled as a binomial experiment since a random selected student can either b graduate or not therefore, there are only 2 outcomes. Each trial is independent and the probability of success is not changing from trial to trial. The number of trials in also fixed.

We know that a binomial distribution is given by

P(x; n, p) = nCx pˣ (1 - p)ⁿ⁻ˣ

Where p is the probability of success and 1 - p is the probability of failure, n is number of independent trials and x is the variable of interest.

For the given problem, we know that x = 2, n = 3 and p = 0.30

P(2; 3, 0.30) = 3C2*0.30²*(1 - 0.30)³⁻²

P(2; 3, 0.30) = 3*0.30²*(0.70)¹

P(2; 3, 0.30) = 0.189

3 0
4 years ago
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