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3 years ago

Consider the function p(c)=2^c+1 . What is p(3)?

Mathematics

1 answer:

I am Lyosha [343]3 years ago

5 0

Answer:

The answer to your question is:

Step-by-step explanation:

Data I'm not sure if number 1 is a power of not, so I'll answer both cases.

1.- Number 1 is not a power

p(c) = 2^c + 1

p(3) = 2³ + 1

p (3) = 8 + 1

p(3) = 9

2.- Number 1 is a power

p(c) = 2^c + 1

p(3) = 2^3 + 1

p(3) = 2^4

p(3) = 16

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2 years ago

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2 years ago

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2 years ago

A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i

Tasya [4]

Answer:

(3,7) for the first line, and (12,0) for the second one.

Step-by-step explanation:

Hi Isabella,

1) The Midpoint of a line, when it comes to Analytical Geometry, is calculated as Mean of two points it follows:

$x_{m}=\frac{x_{1} +x_{2} } {2}, y_{m} =\frac{y_{1}+ y_{2} }{2}$

2) Each segment has two endpoints, and their midpoints, namely:

a) (1,-9) and its midpoint (2,-1)

b) (-2,18) and its midpoint (5,9)

3) Calculating. You need to be careful to not sum the wrong coordinates.

So be attentive!

The first line a

$2=\frac{1+x_{2} }{2}\\ 4=1+x_{2}\\ 4-1=-1+1+x_{2} \\ x_{2}=3\\-1=\frac{y_{2}-9}{2}\\-2=y_{2}-9\\+2-2=y_{2}-9+2\\ y_{2}=-7$

So (3,7) is the other endpoint whose segment starts at (1,-9)

The second line b endpoint at (-2,18) and its midpoint (5,9)

$5=\frac{-2+x_{2} }{2} \\ 10=-2+x_{2} \\ +2+10=+2-2+x_{2}\\ x_{2}=12 \\ \\ 9=\frac{18+y_{2} }{2} \\ 18=18+y_{2} \\ -18+18=-18+18+y_{2}\\ y_{2} =0$

So (12,0) it is the other endpoint.

Take a look at the graph below:

8 0

2 years ago

20. A cement mixer held 6 3/4 tons of cement. Ms. Folley used 2/3 of the cement for her driveway. How many tons of cement remain

NNADVOKAT [17]

Answer:

6 2/25 tons cement

Step-by-step explanation:

If cement mixer held 6 3/4 tons=6.75 tons

Mr. Folley used=0.67

After use cement are=6.75-0.67=6.08

So,

0.08=2/25

That's why answer is 6 2/25 tons

6 0

2 years ago