1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
enot [183]
4 years ago
7

A bacteria population is 2000 at time t = 0 and its rate of growth is 1000 · 5t bacteria per hour after t hours. what is the pop

ulation after one hour? (round your answer to the nearest whole number.)
Mathematics
1 answer:
natima [27]4 years ago
5 0

Since you are given the rate of growth, the population must be computed from the integral ...

\displaystyle p(t)=2000+\int_{0}^{t}{\left(1000\cdot 5^{t}\right)}\,dt=2000+\frac{1000}{\ln{(5)}}\cdot \left(5^{t}-1\right)\\\\=2000+\frac{1000}{\ln{(5)}}\cdot 4\approx 4485\qquad\mbox{after 1 hour}

You might be interested in
Describe the translation below from ABC to A’B’C. In terms of X and Y directions
4vir4ik [10]

Answer: 6 units to the right and 6 units down

Step-by-step explanation:

Every point of the original figure is translated 6 units right and 6 units down to form triangle A’B’C’. So, the translation that maps the original figure to the translated figure is 6 units right and 6 units down.

5 0
3 years ago
Brandon owes his brother $100. He will repay his brother $5 each week. Which expression gives the amount in dollars Brandon will
victus00 [196]
B is the best answer here.
7 0
3 years ago
Read 2 more answers
Write the equation of the line with a slope of 2 that passes through the points -2,-7 and 5,7
lubasha [3.4K]

Answer:

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is

2x - y = 3

Step-by-step explanation:

Given:

Slope = 2 = m ( say )

Let,

point A( x₁ , y₁) ≡ ( -2 , -7 )

point B( x₂ , y₂) ≡ ( 5 , 7 )

To Find:

Equation of Line AB =?

Solution:

Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula,

(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\

Or

Equation of a line passing through a points A( x₁ , y₁) and i having slope m is given by the formula,

(y - y_{1} )=m\times(x-x_{1}) \\

Substituting the given values in a above equation we get

(y-(-7))=2\times (x-(-2))\\ \\(y+7)=2(x+2)\\\\(y+7)=2x+4\\2x-y=3\\2x-y=3...............\textrm{which is the required equation of the line AB}

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is

2x - y = 3

8 0
3 years ago
What percent of 74 is 86
Maurinko [17]

Answer:

about %55

Step-by-step explanation:

You can find the answer by dividing the percent number by the whole number:

74/86 ≈ %55

5 0
3 years ago
HELP!!!<br> Describe the shape of the data distribution
Natalija [7]
The data distribution is positively skewed

8 0
3 years ago
Other questions:
  • A recipe for making popcorn requires 2 tablespoons of butter for every cup of popcorn kernels. At this rate, how much butter is
    7·1 answer
  • Justify each step
    15·1 answer
  • Find AC,AB=9x+1 BC=6x+25
    15·1 answer
  • Quanto misura l'area di un triangolo rettangolo isoscele con ipotenusa 8 cm?<br> (urgente!)
    10·1 answer
  • What is the midpoint of the line segment graphed below?<br>(-12-3)<br>(5-10)​
    13·2 answers
  • What is the volume of a box that will hold exactly 567 cubes with 1/3 sides?
    6·1 answer
  • Experiments on learning in animals sometimes measure how long it takes a mouse to find its way through a maze. The mean time is
    7·1 answer
  • Big chickens: According to a poultry industry news website, the weights of broilers (commercially raised chickens) are approxima
    8·1 answer
  • Help pleaseee asapppp
    5·1 answer
  • If the sum of 3 consecutive odd integers is equal to 177, what is the value of the larger integer?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!