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expeople1 [14]
3 years ago
15

A certain​ country's postal service currently uses 6​-digit zip codes in most areas. how many zip codes are possible if there ar

e no restrictions on the digits​ used? how many would be possible if the first number could not be 0​?
Mathematics
1 answer:
almond37 [142]3 years ago
6 0
If any digit can be 0 to 9 with no restrictions, the number of possible zip codes is ...
  10×10×10×10×10×10 = 10⁶ = 1,000,000.
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Answer:

x=5y

Step-by-step explanation:

We are given that  

g(x)=log_{10}(2x)

Point(5,1)

g(x)=\frac{ln(2x)}{log10}

By using property

log_x y=\frac{lny}{lnx}

We have to find the equation of tangent line to the given graph.

Differentiate w.r.t x

g'(x)=\frac{1}{2xlog 10}\times 2

By using the formula

\frac{d(lnx)}{dx}=\frac{1}{x}

\frac{dy}{dx}=\frac{1}{xlog 10}

We know that Log 10=1

m=g'(x)=\frac{1}{x}

Substitute x=5

m=\frac{1}{5}

Point-slope form

y-y_1=m(x-x_1)

By using this formula

y-1=\frac{1}{5}(x-5)

5y-5=x-5

x-5y=-5+5=0

x=5y

Hence, the equation of tangent line to the graph

x=5y

7 0
3 years ago
Find the point that splits segment AB in half if point A is located at (4,3) and point B is located at
musickatia [10]

Answer:

(1, 4.5 )

Step-by-step explanation:

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Use the midpoint formula

Given A(4, 3) and B(- 2, 6 ), then

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5 0
3 years ago
Read 2 more answers
Lei is renting a paddle board from a local shop that charges a $12 fee, plus an hourly rate of $8.50. For how long can Lei rent
MrMuchimi

Answer:

8 hours.

Step-by-step explanation:

80 = 12 + 8.5t    where t is the time rented in hours

8.5t = 80 - 12 = 68

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7 0
2 years ago
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OlgaM077 [116]
The area is the what fills the shape and the circumference is the outline or perimeter. The circumference is mainly used for circles.
Hope that helps!!!!!
7 0
3 years ago
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The regular price of a shirt is $12.00.If Jason bought the shirt for 45 percent of the regular price,how much did he save?
ruslelena [56]

Answer:

$5.4

Step-by-step explanation:

45% of $12.00 = 45/100 x 12

= $5.4

Hence  to get how much he saved, we have to deduct the percentage off from the cost price $12 -$5.4 = $6.6

∴ Jason saves $5.4

8 0
4 years ago
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