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posledela
3 years ago
5

Find the midpoint of the line segment with the given endpoints (-4,4),(-2,2)

Mathematics
1 answer:
Bingel [31]3 years ago
3 0

Answer:

(-3,3)

Step-by-step explanation:

use the midpoint formula

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In 1992, South Dakota's population was 10 million. Since then, the population has grown by 1.4% each year. Based on this, when w
ella [17]

Answer:

  • 49.9 years or 50 years later.
  • At year : 2042

Explanation:

use compound interest formula:  \sf \boxed{ \sf P ( \sf 1 + \dfrac{r}{100} )^n}

\rightarrow \s \sf 10( 1 + \dfrac{1.4}{100} )^n = 20

\rightarrow \sf ( 1.014) ^n = 2

\rightarrow \sf n( ln( 1.014) ) = ln(2)

\rightarrow\sf n = \dfrac{ln(2)}{ln( 1.014)}

\rightarrow\sf n = 49.8563 \ years

8 0
2 years ago
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Question 2 (4 points)
Nady [450]

Answer:

Step-by-step explanation:

4 0
3 years ago
On a piece of paper , graph f(x)=2^x then determine which answer choice matches the graph you drew.
amid [387]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=2^x

This is a exponential function of the form

y=a(b^x)

where

a is the initial value or the y-intercept

b is the base of the exponential function

If b>1 then is a exponential growth function

If b<1 then is a exponential decay function

In this problem

The y-intercept is equal to

For x=0

f(x)=2^0=1

The y-intercept is the point (0,1)

so

a=1

b=2

The value of b is greater than 1

so

Is a growth function

To plot the graph create a table with different values of x and y

For x=-1

f(x)=2^-1=0.5

point (-1,0.5)

For x=1

f(x)=2^1=2

point (1,2)

For x=2

f(x)=2^2=4

point (2,4)

For x=3

f(x)=2^3=8

point (3,8)

For x=4

f(x)=2^4=16

point (4,16)

Plot the y-intercept and the other points and connect them to graph the exponential function

Note that as x increases the value of y increases (exponential growth function)

The graph in the attached figure

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4 years ago
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Help PLEASE!!!!!!!!!!!!
ValentinkaMS [17]
I think the last one
3 0
3 years ago
Solve for x: 16 = x + 32
RideAnS [48]

Answer:

-16

Step-by-step explanation:

Use everyone's favourite thing: ALGEBRA!!!

16=x+32

16-32=x

-16=x

Hope that helps

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