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OLEGan [10]
4 years ago
11

Find the midpoint between A and C.

Mathematics
2 answers:
Mariana [72]4 years ago
4 0

Answer:

can't see the answer choices correctly they are blury

Step-by-step explanation:

Evgen [1.6K]4 years ago
4 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{(0. \: 5, \: 0.5 \: )}}}}}

Step-by-step explanation:

Given,

A ( -2 , 4 )⇒ ( x₁ , y₁ )

C ( 3 , - 3 )⇒ ( x₂ , y₂ )

<u>Finding</u><u> </u><u>the</u><u> </u><u>midpoint</u><u> </u><u>between</u><u> </u><u>A</u><u> </u><u>and</u><u> </u><u>C</u>

\boxed{ \sf{midpoint = ( \frac{x1 + x2}{2}  \: , \:  \frac{y1 + y2}{2} )}}

\dashrightarrow{ \sf{( \frac{ - 2 + 3}{2}  \: , \:  \frac{4 + ( - 3)}{2} )}}

\dashrightarrow{ \sf{( \frac{1}{2}  \:, \:  \frac{4 - 3}{2}  )}}

\dashrightarrow{ \sf{( \frac{1}{2}  \: , \:  \frac{1}{2} }})

\dashrightarrow{( \sf{0.5 \: , \: 0.5) \: }}

Hope I helped!

Best regards! :D

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Step-by-step explanation:

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3 years ago
Simplify the expression 4^3+ 2(3 − 2). <br> 14 <br> 16 <br> 66 <br> 68
daser333 [38]

Answer:

66

Step-by-step explanation:

4^3=64

64+2(3-2)

64+6-4 =64+2.

64+2=66

5 0
3 years ago
Read 2 more answers
Emma also wonders how long it will take her balance of $300 to reach $450, assuming she doesn't make any payments
Mama L [17]

Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.

An increasing exponential function is modeled by:

A(t) = A(0)(1+r)^t

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

In this problem:

Her initial balance is of $300, hence . A(0)=300

The growth rate is of 15%, hence R =0.15

Then,

A(t) = A(0)(1+r)^t

A(t) = 300(1+0.15)^t\\A(t) = 300(1.5)^t\\

It will reach $450 after t years, for which A(t) = 450, hence:

A(t) =300(1.15)^t\\450= 300(1.15)^t\\1.15^t=\frac{450}{300}\\\\1.15^t =1.5\\log(1.15)^t=log1.5\\t log 1.15 = log 1.5\\t = \frac{log1.5}{log1.15}\\\\ t =2.9

It will take about 2.9 years for Emma's balance to reach $450

Learn more about logarithm here

brainly.com/question/247340

#SPJ4 .

3 0
2 years ago
Which of the following represents the graph of f(x) = 2x − 3? graph begins in the second quadrant near the line equals negative
Snezhnost [94]

Answer:

The second choice: graph begins in the second quadrant near the axis and increases slowly while crossing the ordered pair 3, 1. The graph then begins to increase quickly throughout the first quadrant.


Explanation:


1) As per the set of choices, the function is:


f(x)=2^{x-3}


2) Therefore it is an exponential function with these characteristics:

  • Since, the bases is greater than 1 (2), the function is growing in all the domain.
  • The domain is all real numbers (- ∞, ∞).
  • To know where the function starts, calculate the limit of f(x) as x trends to negative infinity:

\lim_{x \to \infty} 2^{x-3}=0^{+}

         That means that the range is y > 0, and so the graph starts in the second quadrant.

  • You can find the y-intersection making x = 0, which is 2⁰ ⁻ ³ = 2 ⁻³ = 1/8 = 0.25. So, the graph cross the y axis at y = 0.25.
  • That tells you, that the function increases slowly, at least, until that point (0, 0.25).
  • The other bullet point is when x = 3: 2 ³ ⁻ ³ = 2⁰ = 1. Therefore, the graph passes through the point (3, 1).
  • From that point, the function starts to increase rapidly (since it is exponential).
  • Those are the characteristics given by the second choice: graph begins in the second quadrant near the x-axis and increases slowly while crossing the ordered pair 3, 1. The graph then begins to increase quickly throughout the first quadrant.

You surely will find useful to watch the graph that I have attached.

4 0
3 years ago
The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu
Kazeer [188]

Answer:

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

Step-by-step explanation:

The logistic differential equation is as follows:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

In this problem, we have that:

K = 1200, which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.

This means that \frac{dP}{dt} = 400 when P = 200. With this, we can find r, that is, the growth rate,

So

\frac{dP}{dt} = rP(1 - \frac{P}{K})

400 = 200r(1 - \frac{200}{1200})

166.67r = 400

r = 2.4

So the differential equation is:

\frac{dP}{dt} = rP(1 - \frac{P}{K})

\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})

3 0
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