The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equation c = 25 + 0.6m models the cost, c, in dollars for the number of miles, m, traveled in the truck.Identify the independent and dependent variables.

Answers

Answer 1
Answer: So you should know that an independent variable is a variable that is not changed by other variables but a dependent variable does change by other variables.
So in this question, c is a dependent variable and m is an independent variable :))))
I hope this is helpful
have a nice day
Answer 2
Answer:

Answer:

Miles Traveled is independent.

Cost is the dependent.

Step-by-step explanation:



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What is √25 times√81 times 0?

Answers

Well, when any equation has a 0 multiplied into it, the answer will be zero.
Anyway, √25 equals 5 
√81 equals 9 
9*5 = 45
45 * 0 = 0
I hoped I helped!

sophies math class has 6 fewer boys than girls , and there are g girls. write an expression for the number of boys

Answers

It is a known fact that there are 6 fewer boys than girls in Sophies class. We need to write an expression based on thi fact. It is also given in the question that there are "g" girls present in the class of Sophie. so there are several factors that we already know from the question given.Now
Number of girls in sophies class = g
Let the number of boys in Sophies class - b
Then the expression for the number of boys will be
b = g - 6
This is the final and only expression that can determine the number of boys in Sophies class.

The answer is g - 6

I hope this helps!

Which equation represents an exponential function that passes through the point (2, 36)?f(x) = 4(3)x

f(x) = 4(x)3

f(x) = 6(3)x

f(x) = 6(x)3

Answers

Answer:

The exponential function that passes through (2,36) is:

f(x)=4* 3^x.

Step-by-step explanation:

We are asked to find which function passes through the point (2,36).

i.e. we will put the input value '2' in the following given functions and check which gives the output value as '36'.

1)

f(x)=4* 3^x

now we put x=2.

f(2)=4* 3^2\n\nf(2)=4* 9\n\nf(2)=36

hence option 1 is correct.

2)

f(x)=4* x^3

Now we put x=2.

f(2)=4* 2^3\n\nf(2)=4* 8\n\nf(2)=32

Hence, option 2 is incorrect.

3)

f(x)=6* 3^x

Now we put x=2

f(2)=6* 3^2\n\nf(2)=6* 9\n\nf(x)=54

Hence, option 3 is incorrect.

4)

f(x)=6* x^3

Now we put x=2.

f(2)=6* 2^3\n\nf(2)=6* 8\n\nf(2)=48

Hence, option 4 is incorrect.

Hence, option 1) is correct.

i.e. The exponential function that passes through (2,36) is:

f(x)=4* 3^x

Answer:

Option A. is the answer.

Step-by-step explanation:

In this question we can get the correct option by plugging in the coordinates of point (2, 36) in the functions given in all options.

Option A.

f(x)=4(3)^(x)

For (2, 36),

36=4(3)^(2)

36 = 4×9

36 = 36

It's true so the function passes through the point (2, 36).

Option B.

f(x)=4(x)^(3)

For, (2, 36)

36=4(2)^(3)

36 = 4×8

36 = 32

Which is not true.

Therefore, option B is not the answer.

Option C.

f(x)=6(3)^(x)

For(2, 36)

36=6(3)^(2)

36 = 6×9

36 = 54

It's not true.

Therefore, option C is not the nswer.

Option D.

f(x)=6(x)^(3)

For (2, 36),

36=6(2)^(3)

36 = 6×9

36 = 54

Which is not true.

Therefore, option D is not the answer.

The diagonal of a tv is 28 inches long. Assuming that this diagonal forms a pair of 30-60-90 right triangles, what are the exact length and width of the tv?

Answers

30-60-90

shortest leg is always x ; longest leg is always x√3 ; hypotenuse is always 2x

hypotenuse = 28 inches = 2x = 2(14)
shortest leg = x = 14
longest leg = x√3 = 14√3

The exact length and width of the tv would be 14 inches and 14√3 inches.

Answer:

14 inches by 14 square root of 3 inches

Step-by-step explanation:

Two satellites are orbiting earth. The path of one satellite has the equation x² + y² = 56 200 000. The orbit of the other satellite is 200 km farther from the centre of the earth. In one orbit how much farther does the second satellite travel than the first satellite?

Answers

x^2+y^2=r^2

r^2=56200000
r=7496.66
r2=200
r-r2=7296.66
answer:7296.66

Simplify {n - 1 - [n - 1 - (n - 1)]}.

Answers

{n-1-[n-1-(n-1)]} | Given
{n-1-[n-1-n+1]} | Distribute most inner negative
{n-1-n+1+n-1]} | Distribute next inner negative
n-1 | Simplify like terms

Answer: the correct answer is n-1