Find an angle between 0° and 360° that is coterminal with 880°.

ad-work [718]

Answer:

The input for the method is a continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps: Calculate c, the midpoint of the interval, c = a + b2.

Step-by-step explanation:

trust

7 0

3 years ago

E. What was the population in 1995? (the initial population for this situation) *

MaRussiya [10]

Answer:

Part e) $501,170\ people$

Part f) The decay factor is 0.98

Part g) Decreasing

Part h) $y=25,400(1+0.11)^x$

Part i) $345,071\ people$

Step-by-step explanation:

we have

$f(x)=501,170(0.98)^x$

where

x ----> is the number of years since 1995

f(x) ----> is the population of a Texas city

Part e) What was the population in 1995?

we know that

The equation of a exponential function decay is of the form

$y=a(1-r)^x$

where

a represent the initial value (y-intercept of the function)

therefore

In the given function

The initial value is the value of the function when the value of x is equal to zero

so

For x=0

$f(x)=501,170(0.98)^0=501,170\ people$

Part f) What is the growth/decay factor?

we know that

The equation of a exponential decay function is of the form

$y=a(1-r)^x$

where

(1-r) ----> is the decay factor

In this problem we have

$f(x)=501,170(0.98)^x$

(1-r)=0.98

therefore

The decay factor is 0.98

Part g) Is the population increasing or decreasing?

we know that

If the factor is greater than 1 then the population is increasing

If the factor is less than 1 and greater than zero, then the population is decreasing

In this problem

the factor is less than 1

0.98< 1 ----> is a decay factor

therefore

The population is decreasing

In the year 1995, the population of a town in Texas was recorded as 25,400 people. Each year since 1995, the population has increased on average by 11% each year

Part h) Write an exponential function to represent the town's population, y, based on the number of years that pass, x after 1995

we know that

The equation of a exponential growth function is of the form

$y=a(1+r)^x$

we have

$a=25,400\\r=11\%=11/100=0.11$

substitute

$y=25,400(1+0.11)^x$

$y=25,400(1.11)^x$

Part i) Based on the function, what is the population predicted to be in the year 2020?

Remember that the number of years is since 1995

so

x=2020-1995=25 years

substitute the value of x in the exponential function

$y=25,400(1.11)^25=345,071\ people$

3 0

4 years ago

Read 2 more answers

Select the correct answer.

andrew11 [14]

Answer: 45

Explanation:
The sine of any acute angle is equal to the cosine of its complement. The cosine of any acute angle is equal to the sine of its complement. of any acute angle equals its cofunction of the angle's complement. Yes, there is a "relationship" regarding the tangent of the two acute angles (A and B) in a right triangle.

5 0

3 years ago

Please help. Will mark Brainliest

mario62 [17]

First is B, since 1 and 3 are corresponding angles, they must be equal

Next is I, 3 and 5 must be equal since they are vertically opposite

Last is transitive property
Since 1 = 3 and 3 = 5, then 1 must equal 5

7 0

3 years ago

Could I get help with this question choice

Tju [1.3M]

Answer:

the answer is b

Step-by-step explanation:

so you can see the points 1,12 amd 2,17 and you want to find how much this goes up by because it is an arithmetic sequance. so if you go up by 5 everytime then the y-intercept where the line crosses the y-axis would be 0,7 or 7

8 0

2 years ago