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victus00 [196]
2 years ago
9

One sixth of forty-two is seven. How do I write out the equation for that?

Mathematics
1 answer:
sertanlavr [38]2 years ago
6 0

Answer:

Step-by-step explanation:

1/6 * 42 = 7

"of" means multiply

"is" means =

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5 in<br> 4 in<br> What is the length of the missing leg?
BigorU [14]
3 inches

solved by following the rules of a 3 4 5 right triangle
6 0
3 years ago
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What is the equation in vertex form of the quadratic function with a vertex at (-1, -4) that goes through (1, 8)?
cestrela7 [59]

Answer:

y = 3(x+1)^2 - 4

Step-by-step explanation:The general form of the equation of a quadratic function whose vertex is (h,k) and whose leading coefficient is a is:

y - k = a(x-h)^2, or

y      = a(x-h)^2 - k

Substituting the coefficients of the vertex (-1, -4), we get:

y      = a(x + 1)^2 - 4

Substituting the coordinates of the given point, (1,8), we get:

8      = a(1+1)^2 - 4, which simplifies to:

8      = a(2)^2 - 4, or

8  = 4a - 4.  Then 4a = 12, and a = 3.

Thus, the desired equation is y = 3(x+1)^2 - 4 (answer j).


5 0
3 years ago
In 2010, a city population was 55,210 and it was declining at a rate of 1.09 each year. What is the best prediction for when the
PSYCHO15rus [73]
48000=55210(1-0.0109)^t
Solve for t
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So the answer is c
5 0
3 years ago
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Evaluate the expression -2cd if a = -8 b = 2 c = -5 d = 6
Elza [17]

Answer:

60

Step-by-step explanation:

Replace c and d with -5 and 6.

-2*-5*6

-2*-5=10

10*6=60

The expression is equal to 60.

-hope it helps

5 0
2 years ago
Find the remainder when 1 + 2 + 2^2 + 2^3 + ... + 2^100 is divided by 7.<br><br> Thanks in advance!
Firlakuza [10]

Answer:

3.

Step-by-step explanation:

This is a geometric series so the sum is:

a1 * r^n - 1 / (r - 1)

= 1 * (2^101 -1) / (2-1)

= 2^101 - 1.

Find the remainder when 2^101 is divided by 7:

Note that 101 = 14*7 + 3 so

2^101 = 2^(7*14 + 3) =  2^3  * (2^14)^7 = 8 * (2^14)^7.

By Fermat's Little Theorem  (2^14) ^ 7 = 2^14 mod 7 = 4^7 mod 7.

So 2^101 mod 7 = (8 * 4^7) mod 7

                           = (8 * 4) mod 7

                            = 32 mod 7

                            = 4 = the remainder when 2^101 is divided by 7.

So the remainder when 2^101- 1 is divided by 7 is 4 - 1 = 3..

4 0
2 years ago
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