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VladimirAG [237]
3 years ago
11

100 POINTS PLEASE PROVIDE STEPS AND GRAPH. GRAPH USING DESMOS IF POSSIBLE.

Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0

Answer:

See explanation for answer

Step-by-step explanation:

A)

Setting the two equations equal to each other:

x^2-2x=8

x^2-2x-8=0

(x-4)(x+2)=0

x=-2,4

To find the intersection points, since you know the x values and you know that it intersects with the line g(x)=8, all of the y coordinates will be 8. Therefore, the coordinate pairs area (-2,8) and (4,8).

B)

I added the file with the graph.

C)

This can be solved by using integration, and yields 36 square units.

Hope this helps!

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What is the probability that if 13 letters are typed, no letters are repeated?
faltersainse [42]

If there are 13 letters typed, the probability that no letters will be repeated can be found to be 1.05 x 10⁻²⁰

<h3>How to find the probability no letters are repeated?</h3>

First, find the number of possibilities of 13 letters from 26 letters in the alphabet as:

= 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26 x 26

= 6.156 x 10³⁶ possibilities

If the numbers are not to be repeated then the possibilities are:

= 26 x 25 x 24 x 23 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14

= 64764752532480000 possibilities

The probability that no letters are repeated is:

= 64764752532480000 / 6.156 x 10³⁶

= 0.0000000000000000000105

= 1.05 x 10⁻²⁰

Find out more on probability at brainly.com/question/8994028

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5 0
1 year ago
A solid object is dropped into a pond with a temperature of 20 degrees Celsius. The function f(t)=Ce(−kt)+20 represents the situ
LenaWriter [7]

Answer:

The initial temperature of the object was 37.6 degrees Celsius

The initial temperature of the object was 37.6 (without units)

Step-by-step explanation:

we have

f(t)=Ce^{(-kt)} +20

where

f(t) represent the temperature of the object in degree Celsius

t is the time in minutes

<em>Find the value of the constant C</em>

we have the ordered pair (4,35)

substitute in the equation and solve for C

35=Ce^{(-0.0399*4)} +20

Ce^{(-0.0399*4)}=15

C=15/e^{(-0.0399*4)}

C=17.6

Find the initial value of the object

we know that

The initial temperature is the value of f(t) when the value of t is equal to zero

so

For t=0

f(0)=(17.6)e^{(-k*0)} +20

f(0)=17.6 +20

f(0)=37.6\ degrees\ Celsius

therefore

The initial temperature of the object was 37.6 degrees Celsius

The initial temperature of the object was 37.6 (without units)

3 0
3 years ago
I need help pls help
irinina [24]

Answer:

k=8

Step-by-step explanation:

have a good day

4 0
3 years ago
The vertex of this parabola is at (1, 2). When the x-value is 0, the y-value is 0. What is the coefficient of the squared term i
Nitella [24]

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5 0
3 years ago
I would like help on this problem if anyone doesn't mind -(-4)+8
Snowcat [4.5K]
- (- 4) + 8 is the same as doing - 1(- 4) + 8 or - 1 x (- 4) + 8

Any negative times a negative becomes a positive so we just do 1 x 4 = 4. 

4 + 8 = 12. 

Your answer is 12. 
8 0
3 years ago
Read 2 more answers
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