MATHEMATICS HIGH SCHOOL

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.

Answers

Answer 1

Answer:

Answer:

Miles Traveled is independent.

Cost is the dependent.

Step-by-step explanation:

Hope this helps!!

Answer 2

Answer:

I’m not entirely sure what the question is here, but all you would have to do is plug a given number of miles into m to find the cost. Or, if you’re trying to find the amount of miles driven, simply substitute the cost for c and solve for m. You would do this by subtracting 25 from both sides and then dividing by .6

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Which pair of angles listed below are adjacent angles?Parallel Lines and Transversals

A.
1 and 2

B.
1 and 3

C.
1 and 4

D.
2 and 3

Answers

Lets look at the question is asking:

They are looking for adjacent angles.

The geometrical definition for adjacent is neighboring.

So with this we can tell that They are looking for neighboring angles.

The adjacent/neighboring angles are

∠1 and∠2 and ∠3 and ∠4.

So since ∠3 and∠4 are not an option, we can make an educated guess that the answer is A.

(I feel slightly confused on this question, so if it wrong I am truly sorry!)

I hope this helped :)

Trig help (Problems already solved)?The calculation for the problems are already done but I have to list a reason or what is being done in each step. "Each = and newline made" means a place I have to write what is being done in the calculation.

1. (secx + sinx)cotx = cscx + cosx
=(secx + sinx)cotx = cscx + cosx
=(1 / sinx) + cosx
=cscx + cosx

2. cosx + tanx sinx = secx
=cosx + tanx sinx = cosx + (sinx / cosx)sinx
=cosx + (sin^2x / cosx) = (1 / cosx)(cos^2x + sin^2x)
=1 / cosx
=secx

3. cscx - cosx cotx = sinx
=cscx - cosx cotx = (1 / sinx) - cosx(cosx / sinx)
=(1 / sinx) - (cos^2x / sinx)
=(1 - cos^2x) / sinx
=sin^2x / sinx = sinx

4. (cosx / (1 + cosx)) + (cosx / (1 - cosx)) = 2cotx cscx
=(cosx / (1 + cosx)) + (cosx / (1 - cosx)) = ((cosx (1 - cosx) + cosx (1 + cosx))) / (1 + cosx)(1 - cosx)
=(cosx - cos^2x + cosx + cos^2x) / (1 - cos^2x)
=2cosx / sin^2x
=2(cosx / sinx)(1 / sinx) = 2cotx cscx

Thank you to whoever decides to help me with explaining what is happening on each line.

Answers

The first identity uses the definition of the reciprocal functions $\sec x,\csc x,\cot x$ and the distributive property of multiplication.

$(\sec x+\sin x)\cot x=\left(\frac1{\cos x}+\sin x\right)(\cos x)/(\sin x)$
$=(\cos x)/(\cos x\sin x)+(\cos x\sin x)/(\sin x)$
$=\frac1{\sin x}+\cos x$
$=\csc x+\cos x$

The second uses the definition of $\tan x$ and the distributive property. Then a factor of $\frac1{\cos x}$ is pulled out, which allows you to use the identity $\sin^2x+\cos^2x=1$ .

$\cos x+\tan x\sin x=\cos x+(\sin x)/(\cos x)\sin x$
$=\cos x+(\sin^2x)/(\cos x)$
$=(\cos^2x)/(\cos x)+(\sin^2x)/(\cos x)$
$=\frac1{\cos x}\left(\cos^2x+\sin^2x\right)$
$=\frac1{\cos x}*1$
$=\frac1{\cos x}$
$=1$

The third uses the same ideas as the second: rewrite the reciprocal functions, then invoke the Pythagorean identity $\sin^2x+\cos^2x=1$ , which is equivalent to $\sin^2x=1-\cos^2x$ .

$\csc x-\cos x\cot x=\frac1{\sin x}-\cos x(\cos x)/(\sin x)$
$=\frac1{\sin x}-(\cos^2x)/(\sin x)$
$=\frac1{\sin x}\left(1-\cos^2x\right)$
$=\frac1{\sin x}\sin^2x$
$=(\sin^2x)/(\sin x)$
$=\sin x$

In the last one, you combine the fractions by enforcing common denominators. This lets you add the numerators together, and the denominator can be simplified. Once you do that, you rewrite the factors of cos and sin in the numerator and denominator to make up the cot and csc functions, and you're done.

$(\cos x)/(1+\cos x)+(\cos x)/(1-\cos x)=(\cos x(1-\cos x))/((1+\cos x)(1-\cos x))+(\cos x(1+\cos x))/((1-\cos x)(1+\cos x))$
$=(\cos x(1-\cos x)+\cos x(1+\cos x))/((1-\cos x)(1+\cos x))$
$=(\cos x(1-\cos x+1+\cos x))/(1-\cos^2x)$
$=(2\cos x)/(\sin^2x)$
$=2(\cos x)/(\sin x)\frac1{\sin x}$
$=2\cot x\csc x$

Can someone help me with number 2?

Answers

Answer:

Tme = x+y*. 5

Step-by-step explanation:

The focus of the comparison in question 1413 is not provided in the question itself. To determine the focus, you would need additional context or information about the content or subject being discussed. Both options (A and B) suggest a comparison between molecules involved in different cycles (nitrogen cycle or carbon cycle), but without more information, it's not possible to specify which one is the correct focus.

Bentuk sederhana dari(5a+7)-(2a+3) adalah

Answers

$(5a+7)-(2a+3)$
Distributhing - through parantheses
$5a+7-2a-3$
$5a+4-2a$
$3a+4$
The answer is: $3a+4$

Tucker wants to buy a new chromebook for himself. The chromebook he wants costs $390.32, after his discount. He already has $170 saved. His grandfather said he would pay him $15 an hour to clean up his large yard. How many hours would Tucker have to work to be able to afford his chromebook

Answers

Answer: Alison it’s me Jaiden Santa from school I was trying to find the answer to the question on the google form to I don’t know it tho

Step-by-step explanation:

Expand and simplify: 1.(n-2)(3n+7)+2n(2n+3)

factor each expression fully:
2. 4xsquared-25

Answers

$1.\n(n-2)(3n+7)+2n(2n+3)\n\n=n\cdot3n+n\cdot7-2\cdot3n-2\cdot7+2n\cdot2n+2n\cdot3\n\n=3n^2+7n-6n-14+4n^2+6n\n\n=7n^2+7n-14$

==============================================================

$2.\n4x^2-25=(2x)^2-5^2=(2x-5)(2x+5)$

1.(n-2)(3n+7)+2n(2n+3)
We'll start with (n-2)(3n+7)
Use the FOIL method to simplify: First, Outside, Inside, Last.
Multiply the first numbers of each bracket (n and 3n), the outside numbers (n and 7), the inside numbers (-2 and 3n) and the last numbers (-2 and 7)
F= 3n×n= 3n²
O= n×7= 7n
I= -2×3n= -6n
L= -2×7= -14
Add them together, you get 3n² + n -14.
The second part is 2n(2n+3)
Multiply both numbers inside the bracket by 2n
2n×2n= 4n²
3×2n= 6n
Add these terms with the previous ones
7n² + 7n -14
Because they all have a common factor of 7, we can represent the equation as
7(n² + n -2)

2. 4x²-25
To factor this, we convert it into two expressions that we multiply together (like converting -9 into 3×-3)
2x × 2x= 4x²
5 × -5= -25
The answer is (2x+5)(2x-5)

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