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zhuklara [117]
2 years ago
5

Simplify to a single power of 2

Mathematics
1 answer:
salantis [7]2 years ago
6 0

Answer:

the answer is 2 and 1

Step-by-step explanation:

0 votes

Step-by-step explanation:This leads to another rule for exponents—the Power Rule for Exponents. To simplify a power of a power, you multiply the exponents, ...  More

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Function P represents the perimeter, in inches, of a square with the side length x inches.
tatyana61 [14]

Answer:

   x =0,1,2,3,4,5,6

P(x) =0,4,8,12,16,20,24

Step-by-step explanation:

P(x)= 4x

4 x 1 = 4

4 x 2 = 8

4 x 3 =12

4 x 4 = 16

4 x 5 = 20

4 x 6 = 24

7 0
3 years ago
In a hospital ward, there are 10 nurses and 6 doctors. 4 of the nurses and 3 of the doctors are male. If a person is randomly se
Degger [83]
Sample space is (3FD , 3MD, 4MN, 6FN) 
   
where F=female M= male N=Nurse D=doctor)

so P(doctor or female ) =   (3+3+6) / 16  = 12/16 answer

Its C
4 0
3 years ago
Sarah is driving. Her distance in km from Tempe after t hours of driving is given by: x = D(t) = 13 + 57t
777dan777 [17]

Answer:

The solutions for your four question problem are:

a) t = D^-1(x) =  (1/57)*x -(13/57)

b) t = D^-1(x) =  1 h

c) D^-1(x) represents time.

d) The number of hours of driving needed for Sarah to be x km from Tempe. (option (c))

Step-by-step explanation:

a) Determine a formula in terms of x for: t = D^-1(x)

The distance in km from Tempe after t hours of driving is given by

x = D(t) = 13 + 57t.

We just need to find the value  t function of x

x = 13 + 57*t

x -13 =  57*t

57*t  = x -13

t = (1/57)*x -(13/57)

We can see the plots of both equation in the picture below.

b) Compute D^-1(70)

Once we find the expression for D^-1(x)

We substitute for x = 70 km

t = D^-1(x) =  (1/57)*x -(13/57)

t = D^-1(x) =  (1/57)*(70) -(13/57)

t = D^-1(x) =  (70/57) -(13/57)

t = D^-1(x) =  (1.228) -(0.228)

t = D^-1(x) = 1 h

c) In the expression D^-1(x) :  what quantity (distance or time) does the x represent?  what quantity (distance or time) does the entire D^-1(x) represent?

x represents Distance in both equations (D(t), and D^-1(x))

t represents Time in both equations (D(t), and D^-1(x))

Since t = D^-1(x),

D^-1(x) represents time.

d) Which of the following statements best describes D^-1(x)?

The number of hours of driving needed for Sarah to be x km from Tempe.

Since, t = D^-1(x), and t represents the amount of time elapsed since Sarah, parted from Tempe, the correct answer is option (c)

The expression for D^-1(x) can be found in the previous answers

t = D^-1(x) =  (1/57)*x -(13/57)

The input is x (distance) and the output is t (time)

6 0
3 years ago
What is the scale of a drawing that shows a length of 2 inches when the actual length is
Softa [21]

Answer:

1:18 to scale

Step-by-step explanation:

2 goes into 36 18 times so its scaled down by 18.

6 0
2 years ago
Fish story: According to a report by the U.S. Fish and Wildlife Service, the mean length of six-year-old rainbow trout in the Ar
Yanka [14]

Answer:

11.29.

Step-by-step explanation:

We are given that The mean length of six-year-old rainbow trout in the Arolik River in Alaska is 478 millimeters with a standard deviation of 38 millimeters.

We are also given that these lengths are normally distributed.

So, The highest value is at mean .(Refer the attached figure).

Formula : Percentile = \frac{Length}{Maximum} \times 100

54 = \frac{Length}{478} \times 100

\frac{5400}{478} =Length

11.297 =Length

The 54th percentile of the lengths is 11.29.

4 0
3 years ago
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