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
ra1l [238]
3 years ago
11

A population of bacteria is growing according to the equation P ( t ) = 1050e^0.16t .

Mathematics
1 answer:
horsena [70]3 years ago
4 0

Answer:

t must be greater than 5.0

Step-by-step explanation:

P ( t ) = 1050e^0.16t

We want P(t) > 2337

2337 <  1050e^0.16t

Divide each side by 1050

2337/1050<  1050/1050 e^0.16t

Take the natural log of each side

ln (2337/1050)) < ln(e^0.16t )

ln (2337/1050) < 0.16t

Divide by .16

ln (2337/1050)/.16 < 0.16/.16t

ln (2337/1050)/.16 < t

5.00049<t

You might be interested in
Find the value of r in (4, r), (r, 2) so that the slope of the line containing them is −53
Elan Coil [88]

Answer:

C) 7

===========================================

Work Shown:

Use the slope formula

m = (y2-y1)/(x2-x1)

Plug in the given slope we want m = -5/3 and also the coordinates of the points. Then isolate r

m = (y2-y1)/(x2-x1)

-5/3 = (2-r)/(r-4)

-5(r-4) = 3(2-r) .... cross multiplying

-5r+20 = 6-3r

-5r+20+5r = 6-3r+5r .... adding 5 to both sides

20 = 6+2r

20-6 = 6+2r-6 ....subtracting 6 from both sides

14 = 2r

2r = 14

2r/2 = 14/2 .... dividing both sides by 2

r = 7

The slope of the line through (4,7) and (7,2) should be -5/3, let's check that

m = (y2-y1)/(x2-x1)

m = (2-7)/(7-4)

m = -5/3

The answer is confirmed

7 0
3 years ago
Read 2 more answers
Please help badly!!!!!!! I am failing and it is a very important test PLEASE PLEASE PLEASE
lakkis [162]
Circumference=2*pi*r or pi*d so if its 16pi you know that your diameter is 16 wich means your radius is 8 because d/2 is your radius. plug the 8 into the area formula wich gives you the formula pi*8^2. 8squared is 64. 64 times pi is 201. <span>or 64pi wich is the area of the same circle with the circumfernce of 16pi

</span>
8 0
3 years ago
The school buses at a middle school each hold 38 students. The school has, b, buses.
mel-nik [20]

Answer:

38bs

Step-by-step explanation:

multiply the number of students that each bus can hold by the no of buses 38s×b=38bs

8 0
3 years ago
My brain stopped. Please help
Over [174]

Answer:

∠1 = 90°

∠2 = 66°

∠3 = 24°

∠4 = 24°

Step-by-step explanation:

Usually the diagonals of a rhombus bisect each other at right angles.

Thus; ∠1 = 90°

Since they bisect at right angles, then;

∠R1S = 90°

Now, sum of angles in a triangle is 180°

Thus;

66° + 90° + ∠4 = 180°

156 + ∠4 = 180

∠4 = 180 - 156

∠4 = 24°

Now, also in rhombus, diagonals bisect opposite angles.

Thus; ∠4 = ∠3

Thus, ∠3 = 24°

Similarly, the diagonal from R to T bisects both angles into 2 equal parts.

Thus; ∠2 = 66°

6 0
3 years ago
Someone please help me with this and show work I don’t get it I’ll give brainliest
kenny6666 [7]

Answer: THAT IS RIGHT OK BYE MAN

Step-by-step explanation: OK BYE

4 0
3 years ago
Other questions:
  • Seth has two similar ice cream cones, cone A cone b the height of cone a is 16 inches in the height of cone B is 4 inches what i
    11·2 answers
  • Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes ( m ) it would take her to eat 35 hot dogs if she can
    10·1 answer
  • Lnes made9 necklaces with 60 beads on each necklaces. How many beads did she use in all
    7·1 answer
  • What are the answer to these? PLEASE ANSWER (don’t mind my work)
    11·1 answer
  • Consider the following three statements:
    13·1 answer
  • Use the formula below to find the value of $400 invested at 4% interest compounded monthly for 10 years. Step 1:Find the value o
    5·2 answers
  • Find the distance between the two points in simplest radical form.<br> (4, -9) and (-5, 3)
    9·2 answers
  • Mrs. Claus wants to have a nice meal ready when Santa comes home. She wants to make waffles and she knows that he will be hungry
    13·1 answer
  • A mouse is moving through a maze and must make four turns where it can go either left or
    14·1 answer
  • Please answer ASAP need steps.​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!