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3 years ago

11

PLEASE HELP!! i dont understand it

1 answer:

andreev551 [17]3 years ago

6 0

Answer:

a. y^ -1 = e^x +2

Step-by-step explanation:

y = ln (x-2)

Exchange x and y

x = ln (y-2)

Solve for y

Raise each side with a base of e

e^ x = e^(ln(y-2)

e^x = y-2

Add 2 to each side

e^x +2 =y

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A digital clock displays military time in hh:mm format. Find the probability that the number made up of the first two digits on

egoroff_w [7]

Answer: The probability that the number made up of the first two digits on the clock is less than 25 is 1.

Step-by-step explanation:

The probability of an event is a number which describe the chances of the event will happen.

We know that on digital clock, the first two digits always show as number less that 25.

Therefore, the event that the number made up of the first two digits on the clock is less than 25 is certain. [Since An event that is certain to happen has a probability of 1.]

Hence, the probability that the number made up of the first two digits on the clock is less than 25 is 1.

4 0

3 years ago

A circle has a sector with area 33 pi and central angle of 11/6 pi radians. What is the area of the circle?

frosja888 [35]

Answer:

The area of the circle is $36\pi\ units^{2}$

Step-by-step explanation:

we know that

The area of a circle subtends a central angle of $2\pi$ radians

so

By proportion find the area of the circle

$\frac{33\pi }{(11\pi /6)}=\frac{x}{2\pi}\\ \\ x=2\pi*( 33*6)/11\\ \\x=36\pi\ units^{2}$

4 0

2 years ago

Read 2 more answers

When the integer n is squared, the result is less than 150. What is the sum of all possible values of n?

Rom4ik [11]

Answer = 0

n can have possible values from (-12) to 12
-12 <= n < 12

(-12) + (-11)+(-10)......+10+11+12=0

5 0

3 years ago

If 95 is added to a number, the result is 37 less than three times the number. Find the number.

mojhsa [17]

95+x=3x-37
132=2x
66=x

6 0

3 years ago

Generate the nest three terms of each arithmetic sequence shown below.

o-na [289]

Answer:

A)2,6,10

B)2,-6,-18

C)-1,-3,-5

Step-by-step explanation:

<u>A)a1=-2 and d=4</u>

We know that the arithmetic sequence formula is

$a_{n}=a_{1}+(n-1)d$

Now

$a_{2}=a_{1}+(2-1)d$

$a_{2}=a_{1}+(1)d$

Substituting the given value we get

$a_{2}= -2+(1)4$

$a_{2}= -2+4$

$a_{2}= 2$

------------------------------------------

Similarly

$a_{3}=a_{1}+(3-1)d$

$a_{3}=a_{1}+(2)d$

Substituting the given value we get

$a_{3}= -2+(2)4$

$a_{3}= -2+8$

$a_{3}= 6$

-------------------------------------------------

$a_{4}=a_{1}+(4-1)d$

$a_{4}=a_{1}+(3)d$

Substituting the given value we get

$a_{4}= -2+(3)4$

$a_{4}= -2+16$

$a_{4}= 10$

-------------------------------------------------------------------------------------------

<u>B</u><u> $a_n=a_{(n-1)}-8$ with $a_1=10$ </u>

$a_2=a_{(2-1)}-8$

$a_2=a_{1}-8$

Substituting the given value

$a_2= 10-8$

$a_2=2$

---------------------------------------------------------------------

$a_3=a_{(3-1)}-8$

$a_3=a_{2}-8$

Substituting the value

$a_3=2-8$

$a_3= -6$

---------------------------------------------------------------------

$a_4=a_{(4-1)}-8$

$a_4=a_{3}-8$

Substituting the value

$a_4= -6-8$

$a_4= -14$

-------------------------------------------------------------------------------------------

<u>C) $a_1=3, a_2=1$ </u>

Here the difference is -2

the arithmetic sequence formula is

$a_{n}=a_{1}+(n-1)d$

Now

$a_{3}=a_{1}+(3-1)d$

$a_{3}=a_{1}+(2)d$

Substituting the value we get

$a_{3}= 3+(2)-2$

$a_{3}= 3-4$

$a_{3}= -1$

------------------------------------------------------------------------------

$a_{4}=a_{1}+(4-1)d$

$a_{4}=a_{1}+(3)d$

Substituting the value we get

$a_{4}= 3+(3)-2$

$a_{4}= 3-6$

$a_{4}= -3$

----------------------------------------------------------------------------------

$a_{5}=a_{1}+(5-1)d$

$a_{5}=a_{1}+(4)d$

Substituting the value we get

$a_{5}= 3+(4)-2$

$a_{5}= 3-8$

$a_{5}= -5$

4 0

3 years ago