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tigry1 [53]
3 years ago
6

Whats the inverse of Y=7^x?

Mathematics
1 answer:
AlekseyPX3 years ago
8 0
The inverse is when you flip the original number which is 7/1 but it is 1/7 flipped so the answer would be y=1/7x
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5. Determine the sum of 2+4+6+8+...+250. (Hint: 2(1+2+3+4) = 2+4+6+8)
sergiy2304 [10]

Answer:

The sum of 2+4+6+8+...+250 will be: 22650

Step-by-step explanation:

Given

2+4+6+8+...+250

2(1+2+3+4+...+150)....[A]

Considering the sequence

1+2+3+4+...+150

Lets calculate the sum of first 150 terms

\mathrm{Compute\:the\:differences\:of\:all\:the\:adjacent\:terms}:\quad \:d=a_{n+1}-a_n

2-1=1,\:\quad \:3-2=1

\mathrm{The\:difference\:between\:all\:of\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}

d=1

So the sequence is Arithmetic.

as

a_1=1

and

d=1

\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}

a_n=a_1+\left(n-1\right)d

a_n=\left(n-1\right)+1

a_n=n

\mathrm{Arithmetic\:sequence\:sum\:formula:}

n\left(a_1+\frac{d\left(n-1\right)}{2}\right)

\mathrm{Plug\:in\:the\:values:}

n=150,\:\spacea_1=1,\:\spaced=1

=150\left(1+\frac{1\cdot \left(150-1\right)}{2}\right)

=150\left(\frac{149}{2}+1\right)

=150\cdot \frac{151}{2}

\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}

=\frac{151\cdot \:150}{2}

=\frac{22650}{2}

=11325

So the sum of first 150 terms of the arithmetic

sequence 1+2+3+4+...+150 is: 11325

Now, according to expression [A], multiply 11325 by 2 to determine the sum of 2+4+6+8+...+250.

As

1+2+3+4+...+150 = 11325

Thus

2(1+2+3+4+...+150) = 2(11325) = 22650

Therefore, the sum of 2+4+6+8+...+250 will be: 22650

7 0
3 years ago
What is the equation of this graphed line?
Cloud [144]
2x-y+2=0
slope=y-y/x-x
6-(-6)/2-(-4)=2
eq=Y-y/X-x
y-6/x-2=2
2x-4=y-6
2x-y+2=0
4 0
2 years ago
Read 2 more answers
How do you write 7/8 as a fraction?
Artist 52 [7]
7/8 is already a fraction
5 0
2 years ago
Read 2 more answers
Item 1
malfutka [58]

Answer:

Answer is option b and c and d

on \: dividing \: the \: number \:  \frac{ - 8}{15} \:  we \: get \\  - 0.533333333........ \\ which \: is \: equivalent \: to \:  - 0.53

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

3 0
2 years ago
Help what do i do i need help asap
MArishka [77]

I am assuming your teacher wants you to solve for v.

Therefore we need to isolate v, first step will be moving 2 to the other side then multiplying both sides by 11.

4=v/11-2

4+2=v/11

6=v/11

6*11=v/11*11

66=v

v=66

Check answers: substitute v=66 back into the equation.

right hand side:66/11-2=6-2=4

left hand side:4

RHS=LHS therefore the solution is correct.

Done!

Hope this helped, if there are any questions just ask them in the comments and I will answer them.

6 0
2 years ago
Read 2 more answers
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