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madreJ [45]
3 years ago
7

Use change-of-base formula to find three significant digits log^6 120

Mathematics
1 answer:
Paladinen [302]3 years ago
7 0
I suppose that  when you write "log^6" , you want to say log₆

Change of base formula:
loga b=logc b / logc a

log₆ 120=ln 120 / ln 6=2.67

Answer: log₆ 120=2.67
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When x = 3, y = 4. What is y when x = 12?
alexdok [17]

Answer:

A)3

Step-by-step explanation:

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8 0
3 years ago
the diameter of a piston for an automobile is 3 11/16in with tolerence of 1/64in. find the upper and lower limits of the pistons
padilas [110]

Upper Tolerance

Remark

The 11/16 is the only thing that will be affected. The three won't go up or down when we add 1/64 so we should just work with the 11/16. We need only add 11/16 and 1/64 together to see what the upper range is. Later on we can add 3 into the mix.

Solution

<u>Upper Limit</u>

\dfrac{11}{16} +  \dfrac{1}{64}

Now change the 11/16 into 64. Multiply numerator and denominator or 11/16 by 4

\dfrac{11*4}{16*4} +  \dfrac{1}{64}

\dfrac{11*4}{16*4} +  \dfrac{1}{64} Which results in

\dfrac{44}{64} +  \dfrac{1}{64}

With a final result for the fractions of 45/64

So the upper tolerance = 3 45/64

<u>Lower Tolerance</u>

Just follow the same steps as you did for the upper tolerance except you subtract 1/64 like this.

\dfrac{11}{16} - \dfrac{1}{64}

Your answer should be 3 and 43/64


4 0
3 years ago
Find the volume of this prism.
enyata [817]
Isnt it letter D ? Not sure tho
7 0
3 years ago
Read 2 more answers
WILL GIVE BRANLIEST!!! Pls help! Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the
iren [92.7K]

Let , coordinate of points are P( h,k ).

Also , k = 3h + 1

Distance of P from origin :

d=\sqrt{h^2+k^2}

Distance of P from ( -3, 4 ) :

d=\sqrt{(h+3)^2+(k-4)^2}

Now , these distance are equal :

h^2+(3h+1)^2=(h+3)^2+(3h+1-4)^2\\\\h^2+(3h+1)^2=(h+3)^2+(3h-3)^2

Solving above equation , we get :

P=(\dfrac{16}{21},\dfrac{23}{7})

Hence , this is the required solution.

6 0
3 years ago
8m^3 - 28m^2 + 6m - 21. You solve by factoring by grouping!!! quick please
Leya [2.2K]

Answer:

(2m - 7)(4 {m}^{2}  + 3)

Step-by-step explanation:

8m^3 - 28m^2 + 6m - 21 \\  = 4 {m}^{2} (2 {m}  - 7) + 3(2m - 7) \\  = (2m - 7)(4 {m}^{2}  + 3)

4 0
3 years ago
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