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
goldenfox [79]
2 years ago
11

HELP.

Mathematics
1 answer:
Viefleur [7K]2 years ago
4 0

Answer:

The number of cases in the year 2010 is 266.

Step-by-step explanation:

An exponential function is one that the independent variable x appears in the exponent and has a constant a as its base. Its expression is:

f(x)=aˣ

being a positive real, a> 0, and different from 1, a ≠ 1.

In this case:

r(t) = 207*e^{0.005*t}

where t is the number of years since 1960 and   e is an irrational number of which it is not possible to know its exact value because it has infinite decimal places. The first figures are 2,7182818284590452353602874713527 and is often called the Euler's number. e is the base of natural logarithms.

In this case, you want to know the number of cases r (t) in 2010. So, to know t you must know how many years have passed since 1960. For that, you can simply do the following subtraction: 2010-1960 and you get as a result : 50.

Replacing in the exponential expression r (t):

r(t) = 207*e^{0.005*50}

Solving:

r(t)=265.79 ≅ 266

<u><em>The number of cases in the year 2010 is 266.</em></u>

You might be interested in
What can be concluded about the line represented in the table? Check all that apply.
motikmotik

The slope is 2.

The slope is 1/2.

The y intercept is 4.

The y intercept is 8

The points (-2,-5) and (8,0) are also on the line

The points (-5,-2) and (1,10) are also in the line.

6 0
2 years ago
Read 2 more answers
What is the percent of change if 30 is decreased to 25?
Luden [163]

Answer:

16.67%

Step-by-step explanation:

initial rate=30

final rate =25

decreased rate = 30 - 25= 5

Now,

Decreased % = (5 / 30) * 100%

= 16.67%

3 0
2 years ago
Read 2 more answers
Suppose u1, u2, ..., un are independent random variables and for every i = 1, ..., n, ui has a uniform distribution over [0, 1].
sattari [20]
Z=U_{(1)}=\min\{U_1,\ldots,U_n\}

has CDF

F_Z(z)=1-(1-F_{U_i}(z))^n

where F_{U_i}(u_i) is the CDF of U_i. Since U_i are iid. with the standard uniform distribution, we have

F_{U_i}(u_i)=\begin{cases}0&\text{for }u_i

and so

F_Z(z)=1-(1-F_{U_i}(z))^n=\begin{cases}0&\text{for }z

Differentiate the CDF with respect to z to obtain the PDF:

f_Z(z)=\dfrac{\mathrm dF_Z(z)}{\mathrm dz}=\begin{cases}n(1-z)^{n-1}&\text{for }0

i.e. Z has a Beta distribution \beta(1,n).
3 0
3 years ago
If John owes 300 dollars and pays 50 a week what are the dependent and independent variables ​
podryga [215]
300 dollars would be the independent variable and 50 dollars a week is dependent
7 0
3 years ago
Find the value of x in the triangle shown below.
DIA [1.3K]

Answer:

x=8

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2 + x^2 = 10^2

36 + x^2 = 100

Subtract 36 from each side

36-36 +x^2 = 100-36

x^2 = 64

Take the square root of each side

sqrt(x^2) = sqrt(64)

x = 8

7 0
3 years ago
Read 2 more answers
Other questions:
  • Suppose that triangle ABC is dilated to A'B'C' by a scale factor of 4 with a center of dilation at the origin.
    9·2 answers
  • You randomly choose a marble from a bag containing 2 purple, 5 pink, and 2 Blue.
    9·1 answer
  • Suppose the population of a town is 15,200 and is growing 2% each year. a. Write an equation to model the population growth. b.
    6·1 answer
  • The volume of a cylinder with height h and radius r is given by the formula below.
    10·1 answer
  • Identify whether the following equation has a unique solution, no solution, or infinitely many solutions.
    5·1 answer
  • A teacher reaches into a bag of game pleces containing 5 black pleces, 3 purple pleces, 1 orange plece, and 6 green pleces, He d
    12·2 answers
  • Can somebody help me????????????
    6·2 answers
  • Which lines are parallel? Check all that apply.
    8·2 answers
  • Helpppppppppppppppppppppppppppppppppppppppp
    7·1 answer
  • Select the statement that best describes √ 1 5
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!