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
user100 [1]
2 years ago
7

At the beginning of an experiment, the number of bacteria in a colony was counted at time t=O. The number of bacteria in the col

ony t minutes after the initial count modeled by the function B(t)=9(3)^t. What is the average rate of change in the number of bacteria over the first 6 minutes of the experiment?
Mathematics
1 answer:
yan [13]2 years ago
8 0

Answer:

1092

Step-by-step explanation:

We have been given that the number of bacteria in the colony t minutes after the initial count modeled by the function B(t)=9(3)^t. We are asked to find the average rate of change in the number of bacteria over the first 6 minutes of the experiment.

We will use average rate of change formula to solve our given problem.

\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}

Upon substituting our given values, we will get:

\text{Average rate of change}=\frac{b(6)-b(0)}{6-0}

\text{Average rate of change}=\frac{9(3)^6-9(3)^0}{6}

\text{Average rate of change}=\frac{9(729)-9(1)}{6}

\text{Average rate of change}=\frac{6561-9}{6}

\text{Average rate of change}=\frac{6552}{6}

\text{Average rate of change}=1092

Therefore, the average rate of change in the number of bacteria is 1092 bacteria per minute.

You might be interested in
Phil earns $9.50 an hour
shtirl [24]
$9.50x45=$427.50(work per week)

$427.50-$55=$372.50(amount of money he earns per week)

$372.50x4x12=$17880(1 month has 4 weeks and 1 year has 12 months)

Answer: $17880
6 0
2 years ago
Read 2 more answers
Please answer this question now
Rashid [163]

Answer:

54

Step-by-step explanation:

To solve problems like this, always recall the "Two-Tangent theorem", which states that two tangents of a circle are congruent if they meet at an external point outside the circle.

The perimeter of the given triangle = IK + KM + MI

IK = IJ + JK = 13

KM = KL + LM = ?

MI = MN + NI ?

Let's find the length of each tangents.

NI = IJ = 5 (tangents from external point I)

JK = IK - IJ = 13 - 5 = 8

JK = KL = 8 (Tangents from external point K)

LM = MN = 14 (Tangents from external point M)

Thus,

IK = IJ + JK = 5 + 8 = 13

KM = KL + LM = 8 + 14 = 22

MI = MN + NI = 14 + 5 = 19

Perimeter = IK + KM + MI = 13 + 22 + 19 = 54

4 0
3 years ago
Paisley's car used 11 gallons to travel 374 miles. How many gallons of gas would she need to travel 442 miles?
katen-ka-za [31]

Answer:

13 gallons

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the Total surface area of a cone if it's slant height is 21m and diameter of it's base is 24m.
kherson [118]
<h3><u>Answer :- </u></h3>

  • The total surfAce area of cone is <u>1244.57m².</u>

<h3><u>Step-by-step</u><u> </u><u>explanation</u><u> </u><u>:</u><u>-</u><u> </u></h3>

<u>To </u><u>find </u><u>:</u><u>-</u><u> </u>

  • The total surface area of cone..

<h3><u>Solution :- </u></h3>

Given that ,

  • The slant height of the cone = 21m.
  • Diameter of it's base = 24m.

<h3><u>♦</u><u> </u><u>Radius is </u></h3>

<u>=</u>> Diameter / 2

=> 24 / 2

=> 12m

<h3>As we know that , </h3>

<u>Total surface area of cone = πr ( r + L ) .</u>

<h3><u>Where</u><u> </u><u>we </u><u>know</u><u>,</u></h3>

  • π = 22/7
  • r = Radius ( radii )..
  • L = Slant height.

<h3>According to the question :- </h3>

The total surface of cone is,

<u>=> Total surface area = πr { r + L } ..</u>

=  \frac{22}{7}  \times 12 \times (12 + 21)

=  \frac{22}{7}  \times 12 \times 33

= (22 \times 12 \times 33) \div 7

= (726 \times 12) \div 7

= 8712 \div 7

= 1244.57 {m}^{2}

• Therefore , The total surface area of cone is <u>1244.57m².</u>

Hope this helps you :)

8 0
2 years ago
Read 2 more answers
Solve the following system of equations graphically.
V125BC [204]
(2,1)

I first used substitution to get my answer and then used graphing to check. You can easily get a graphing equation by rearranging the second equation.<span />
4 0
3 years ago
Read 2 more answers
Other questions:
  • Using 50 boxes of nails a carpenter was able to finish 450 bird houses. Write an equation that can be used to express the relati
    12·1 answer
  • How do i do midpoints
    10·1 answer
  • !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    8·1 answer
  • What is the perimeter of the triangle?
    7·1 answer
  • Would side lengths of 3 in, 4 in, and 6 in create a unique triangle? Why or why not?
    8·1 answer
  • The graph of y=x^2-8x+6 has a minimum point. write down the coordinates of this point
    9·1 answer
  • To find the quotient of two fractions, you first need to rewrite the division problem as an equivalent multiplication problem. F
    6·1 answer
  • a leading coefficient of 1 has zeros of x = 3 and x = −2, what is the factored form of this function?
    5·1 answer
  • Name two points that are not contained in or lying in plain p
    8·1 answer
  • Suppose a candy bar weighs 5.47 ounces. How much does a pack of 6 bars weight
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!