P = 2(w + h)W = 12 correct to the nearest whole number

h = 4 correct to the nearest whole number

Work out the upper bound for the value P

(urgent please)​

Answers

Answer 1
Answer:

After substituting W = 12, h = 4, in the equation P = 2(w + h), P = 32

What is upper bound?

"An element greater than or equal to all the elements in a given set."

What is equation?

"It is an expression which contains an equal symbol."

For given question,

Given equation: P = 2(w + h)

W = 12, h = 4

After substituting these values in given equation,

⇒ P = 2 × (12 + 4)

⇒ P = 2 × 16

P = 32

Learn more about upper bound here:

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Answer 2
Answer:

Answer:

p=32

Step-by-step explanation:

4+12=16

16×2=32

p=32


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Cos3x=4cos^3x-3cosx prove

Answers

\bf cos(\alpha + \beta)= cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta)\n\n\n\textit{also recall that }cos(2\theta)=\begin{cases}cos^2(\theta)-sin^2(\theta)\n1-2sin^2(\theta)\n\boxed{2cos^2(\theta)-1}\end{cases}\n\n\nand\qquad sin^2(\theta)+cos^2(\theta)=1\implies sin^2(\theta)=1-cos^2(\theta)\n\n-------------------------------

\bf cos(3x)=4cos^3(x)-3cos(x)\n\n-------------------------------\n\ncos(3x)\implies cos(2x+x)\implies cos(2x)cos(x)-sin(2x)sin(x)\n\n\n\[2cos^2(x)-1]cos(x)-[2sin(x)cos(x)]sin(x)\n\n\n2cos^3(x)-cos(x)~~~~-~~~~2sin^2(x)cos(x)\n\n\n2cos^3(x)-cos(x)~~~~-~~~~2[1-cos^2(x)]cos(x)\n\n\n2cos^3(x)-cos(x)~~~~-~~~~[2cos(x)-2cos^3(x)]\n\n\n2cos^3(x)-cos(x)~~~~-~~~~2cos(x)+2cos^3(x)\n\n\n4cos^3(x)-3cos(x)

Does the amount of gas in a car depend on how many miles have been driven Or do the number of miles driven depend on the amount of gas in the car? Explain

Answers

Answer:

The amount of gas in a car depend on how many miles have been driven.

Step-by-step explanation:

The number of miles driven is proportionally related to the number of gallons of gas because every  measure of gallons of gas can be multiplied by to get every corresponding measure of miles driven.

Also,

The number of miles driven is the dependent variable

Because the number of miles you can drive depends on the number of gallons of gas you have in your tank.

So, The correct answer is -  The amount of gas in a car depend on how many miles have been driven.

The ziggurat linked the people of Mesopotamia to what? all of the gods they worshipped
ruler of their city
patron god of their city
all of the rulers in the civilization

Answers

Answer: C

Step-by-step explanation: Patron God Of Their City

One month Tammy rented 3
movies and
2
video games for a total of
$20
. The next month she rented
8
movies and
4
video games for a total of
$45
. Find the rental cost for each movie and each video game.

Answers

3x + 2y = 20
8x + 4y = 45
where x = # of movies and y = # of video games

In order to solve this systems of equations problem, you need to use the elimination method.

You can multiply the top equation, 3x + 2y = 20, by -2 in order to eliminate the y values.

(3x + 2y = 20) *-2 will turn into -6x - 4y = -40

From there, we can eliminate.

-6x - 4y = -40
8x + 4y = 45

Since 4y and -4y are opposites in sign and equal in coefficients, we can remove them from our equations and add the rest of the terms together.

-6x - 4y = -40
8x + 4y = 45
will turn into -->
2x = 5

So, x = (5)/(2), which means 1 movie costs $2.50. Then, we can solve for the video game price, y, by substituting our x back into one of the equations.

3x + 2y = 20
3*<span>(5)/(2) </span>+ 2y = 20
y = (25)/(4)

Each movie costs $2.50 and each video game costs $6.25.

Find the value of t in the equation t+5+3t=1

Answers

t+5+3t=1\nt+3t+5=1\n4t+5=1\n4t+5-5=1-5\n4t=1-5\n4t =-4\n\n\boxed{\bf{t=-1}}
First combine like terms.  1t+3t=4t
5+4t=1
Now subtract 5 from both sides.
4t=-4
Now divide both sides by 4.
t=-1
To check,  let's plug in -1 for t.
-1+5+3*-1=
3*-1=-3
-1+5+-3=1
t=-1

The graph of a system of parallel lines will have no solutions.Always

Sometimes

Never

Answers

The graph of a system of parallel lines will always have no solutions. The correct answer is A, always. 

Answer:

Option A. always

Step-by-step explanation:

If we have two lines having same slopes or parallel to each other then points lying on each line will be different.

In other words parallel lines never intersect each other so they have no point of intersection or common points.

That's why system of parallel lines have no solutions.

Therefore option A. always is the correct option.