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AleksAgata [21]
3 years ago
5

The planet mercury takes 56.6 earth days to rotate once around its axis. About how many times does it rotate around its axis dur

ing one earth year?
Mathematics
1 answer:
Kruka [31]3 years ago
6 0
In 56.6 earth days , it rotates 1 time
so, in 1 earth day , it will rotate \frac{1}{56.6} times

now, In a earth year, there are 365 days.

So, in 365 earth days, it will rotate  =  \frac{1}{56.6} \times 365 = 6.44 
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Let f(x) = 8x3 - 28x + 61 and g(x) = 2x + 5. Find f(x) / g(x)
LiRa [457]
This is a division of polynomials

   8x^3              - 28x + 61    | 2x + 5
                                             -----------------------
- 8x^3 - 20x^2                       4x^2 - 10x + 11x
---------------------------------
0         - 20x^2 - 28x + 61
           +20x^2 +50x
           ------------------------
                 0    +22x  +61
                       -22x   -55
                      ----------------
                                    6

Then, the division is not exact and the result is 4x^2 - 10x + 11x with remainder 6, or:

4x^2 - 10x + 11x + [ 6/ ( 2x + 5) 



8 0
3 years ago
Read 2 more answers
Question content area top
Amanda [17]
.125
.5*.5*.5
head*tail*tail
6 0
2 years ago
Julie was given a new map of New Hampshire to calculate some distances. The scale is 1 inch = 50 miles. How far is Conway from L
Aloiza [94]

Answer:

Conway is 312.50 miles from Littleton

Step-by-step explanation:

Given

Scale: 1\ in = 50\ mi

See attachment

Required

Distance between Conway and Littleton

The scale distance between Conway and Littleton is 6.25 inches.

So, the actual distance is calculated as:

1\ in = 50\ mi

Multiply both sides by 6.25

6.25 * 1\ in = 50\ mi * 6.25

6.25\ in = 312.50\ mi

<em>Hence, Conway is 312.50 miles from Littleton</em>

7 0
2 years ago
Consider the problem of finding the line of symmetry and vertex of the quadratic equation f(x) =x^2-8x+15 What is the error in t
Jet001 [13]
We are given the quadratic:

f(x)=x^2-8x+15, with a=1, b=-8, c=15.


We know that the x-coordinate of the vertex, which is the point where the line of symmetry passes through is 

                                  \displaystyle{  -\frac{b}{2a}.

Thus, the x-coordinate of the vertex is -\frac{b}{2a} =-\frac{-8}{2\cdot1}= \frac{8}{2}=4.

Thus, the line of symmetry is x=4.


Answer: <span>B. The line of symmetry should have been 4 instead of –4. </span>
6 0
3 years ago
Solve the simultaneous equations using elimination method.<br>4x – 3y = 1<br>x + 3y =​
babymother [125]

Answer:

x=\frac{1}{5}

y = -\frac{1}{15}

Step-by-step explanation:

4x - 3y = 1

x + 3y = 0

Req To Solve With Elimination:

Make Them Equal:

-> 4x - 3y = 1

-> 4x + 4 . 3y = 0

Simplify:

->  4x - 3y = 1

-> 4x + 12y = 0

-> 4x - 4x - 3y - 12y = 1

-> -3y - 12y = 1

-> -15y = 1

-> y = -\frac{1}{15}

-> x+3(-\frac{1}{15} )=0

-> x -\frac{1}{5}=0\\

-> x=\frac{1}{5}

<em><u>Please Mark As Brainliest</u></em>

8 0
3 years ago
Read 2 more answers
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