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irinina [24]
3 years ago
13

If (5^4)m = 5^12, what is the value of m? A.)2 B.)3 C.) 5 D.)8

Mathematics
1 answer:
Sauron [17]3 years ago
8 0

Answer:

B.) 3

Step-by-step explanation:

Exponent rule: (b^m)^n = b^{mn}

(5⁴)ⁿ = 5¹²

4n = 12

n = 3

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Ramesh examined the pattern in the table. Powers of 7 Value 2,401 343 49 7 1 Ramesh says that based on the pattern . Which state
earnstyle [38]

1) You included neihter what Ramesh says nor the statements, then I can you tell some facts about the pattern.


2) The sequence is: 2401, 343, 49, 7, and 1.


3) The first term is 2401


4) The sequence is a decreasing geometric one.


5) The ratio is found dividing two consecutive terms (the second by the first, or the third by the second, or the fourth by the third, or the fifth by fourth):


1/7 = 7 / 49 = 49 / 343 = 343 / 2401.


So, the ratio is 1/7


6) The sum of that sequence is 2401 + 343 + 49 + 7 + 1 = 2801



7 0
3 years ago
Read 2 more answers
1) Find the inverse of the function below. Use g-1(x) to indicate the inverse 5 points
omeli [17]

Answer:

g-1(x)=SQRT{(x-4)/2} + 4

Step-by-step explanation:

I assume that the 2 is the exponent so ^ represents exponent

We know your function is g(x)=2(x-3)^2+4

For inverse functions we swap x and y values, note g(x) is like the y value

Isolate for y

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

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

(x-4)/2 = (y-3)^2

SQRT{(x-4)/2} + 4 = y

Therefore g-1(x)=SQRT{(x-4)/2} + 4

4 0
3 years ago
A company makes 140 bags.
malfutka [58]

Answer:

71

Step-by-step explanation:

The question says we have 140 bags and we have 4 models

bags have buttons but no zips.

bags have zips but no buttons.

bags have neither zips nor buttons

bags have both zips and buttons

We don't know how many bags have zips and buttons but we know how many bags are produced. And other 3 types of bags number. So we can calculate

140-47-48-22=23

That means we have 23 bags that have zips and buttons

and

48 of the bags have zips too. that means we have 48+23=71 bags that have zips on them.

8 0
2 years ago
Determine the equation of the line, written in slope-intercept form, that passes through the points (1,1) and (5,−1).
bazaltina [42]

Answer:

y=-1/2x+3/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-1)/(5-1)

m=-2/4

m=-1/2

y-y1=m(x-x1)

y-1=-1/2(x-1)

y=-1/2x+1/2+1

y=-1/2x+1/2+2/2

y=-1/2x+3/2

3 0
3 years ago
Which statement is true?
sweet-ann [11.9K]

Answer:

D

Step-by-step explanation:

so by process of elimination it can’t be A as it is a 7hr journey

B is also incorrect as she travels 50mph not an additional 50miles per hour (50m in hour one then 100m in hour 2 )

C is also incorrect as she travels 50 miles in ann hour not in 6

D is correct as she has travelled 200 miles


3 0
3 years ago
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