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
kumpel [21]
3 years ago
10

A fruit fly experiment starts with 600 flies. If the number of flies after x days is given by the function P(x)=600e^0.3x, how m

any days will it be until there are 1000 flies?
(20 points)

Explain Your Answer!
Mathematics
1 answer:
slega [8]3 years ago
6 0
Since ln(x) is the inverse of e^x and we want to find out when P(x)=1000, we will substitute P(x) by 1000 and then solve for x days.

1600e^0.3x = 1000

Divide 600 for both sides you will get:

5/3 = e^0.3x

Multiply ( ln ) for both sides and then divide by 0.3.

(ln 5/3)/(0.3) = x

x = 1.7

So there will be 1000 flies in approximately 1.7 days
You might be interested in
The average number of passes in a football game is right skewed with mean 75 and variance 961. If we sample 100 random games, wh
suter [353]

Answer:

0.0066

Step-by-step explanation:

Given that:

Mean \mu = 75

Variance \sigma^2 =961

The standard deviation \sigma =  \sqrt{961} = 31

The sample size n = 100

\mu = \mu_{\overline x} = 75

\sigma _{\overline x} = \dfrac{\sigma }{\sqrt{n}}

\sigma _{\overline x} = \dfrac{31 }{\sqrt{100}}

\sigma _{\overline x} = \dfrac{31 }{10}}

\sigma _{\overline x} = 3.1

P(\overline x > 83.7) = 1 - P( \overline x < 83.7)

P(\overline x > 83.7) = 1 -P\bigg (  \dfrac{\overline x - \mu_{\overline x} }{\sigma _{\overline x}} < \dfrac{83.7 - 76}{3.1} \bigg)

P(\overline x > 83.7) = 1 -P\bigg (  Z< \dfrac{7.7}{3.1} \bigg)

P(\overline x > 83.7) = 1 -P (  Z< 2.48)

Using the Z table;

P(x > 83.7) = 1 - 0.9934

P(x > 83.7) = 0.0066

Thus, probability = 0.0066

8 0
3 years ago
4/5 x 1/8 as a simplified expression and product by dividing the numerator and denominator by GCF
irina1246 [14]

Answer:

⅘×⅛ = 1/10

Step-by-step explanation:

3 0
3 years ago
If a circle has a radius of 16,and an arc length of 12x, what is the angle measure of the central angle that matches that arc?
GREYUIT [131]

Answer:

135°

Step-by-step explanation:

Using S = rA, where S is arc length, r is radius and A is angle(in radians).

Comparing:

=> 12 = 16A

=> 12/16 = A

=> 3/4 = A

Required radian is 3/4 which is 3/4 * 180° = 135°

4 0
3 years ago
Round 363 to the nearest ten
Levart [38]
363 rounded to the nearest ten would be 360
3 0
3 years ago
Read 2 more answers
Help plssss I’m trying to finish this diagnostics test
Allushta [10]

Answer: 5 Seconds

Step-by-step explanation: Given the equation of the height expressed ad;

h(t) = - 16t^2 + initial height

Given that initial height = 400feet

h(t) = - 16t^2 + 400

The waste will hit the ground at when h(t) = 0

substitute

0 =  - 16t^2 + 400

16t^2 = 400

t² = 400/16

t² = 25

t = √25

t = 5secs

4 0
3 years ago
Other questions:
  • What is the leading coefficient of the polynomial?
    10·1 answer
  • What is -1 1/3 divided by 2 2/5
    5·2 answers
  • Write -v180 in simplest radical form.
    5·2 answers
  • Simplify 16-3(8-3)^2÷5
    15·2 answers
  • Help me with this problem plzzzz
    7·2 answers
  • 5. Why do routine events tend to fade from memory over time?
    11·1 answer
  • Which expressions are equivalent to
    14·2 answers
  • What is the y-intercept of the line y = 2/3x + 2?
    6·2 answers
  • Math screenshot under cut
    7·2 answers
  • Help help help help help
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!