A rectangle has a perimeter of 6x^3+ 9x^2 - 10x + 5 and a length of x. Find the width of the rectangle when
the length is 21 inches.

Answer:

[tex]\frac{1} {144}[/tex]

Step-by-step explanation:

The probability of picking 1 watermelon is 1 out of 12.

So [tex]\frac{1}{12}[/tex] × [tex]\frac{1}{12}[/tex] = [tex]\frac{1} {144}[/tex]

I hope this helps!

pls ❤ and mark brainliest pls!

The aspect ratio of a Television is the ratio of the width to the height of the television.

The size of a TV is calculated using Pythagoras theorem. Assume the length ratio of the new 50-inch 16:9 TV is x.

The ratio is represented as:

[tex]Width : Height = 16 : 9[/tex]

Using Pythagoras theorem, we have:

[tex](16x)^2 + (9x)^2 = 50^2[/tex]

[tex]256x^2 + 81x^2 = 2500[/tex]

[tex]337x^2 = 2500[/tex]

Divide both sides by 337

[tex]x^2 = 7.42[/tex]

Take square roots of both sides

[tex]x = \sqrt{7.42[/tex]

[tex]x = 2.72[/tex]

So, the width of the image is:

[tex]Width = 16x[/tex]

[tex]Width = 16 \times 2.72[/tex]

[tex]Width = 43.52[/tex]

The height of the image is then calculated as:

[tex]Height = 9x[/tex]

[tex]Height = 9 \times 2.72[/tex]

[tex]Height = 24.48[/tex]

The height of the image is 24.48 inches

The height of each black bar is calculated as follows:

[tex]Width : Height = 1.85 : 1[/tex]

Express as fraction

[tex]\frac{Height}{Width}= \frac{1}{1.85}[/tex]

Make Height the subject

[tex]Height = \frac{1}{1.85}\times Width[/tex]

Substitute [tex]Width = 43.52[/tex]

[tex]Height = \frac{1}{1.85}\times 43.52[/tex]

[tex]Height = 23.52[/tex]

The height of each black bar is 23.52 inches

Lastly, the percentage of the screen’s area that is occupied by the image

First, we calculate the area of the bars

[tex]A_1 = Height \times Width[/tex]

Where:

[tex]Height = 23.52[/tex] and [tex]Width = 43.52[/tex]

So:

[tex]A_1 = 23.52 \times 43.52[/tex]

[tex]A_1 = 1023.59[/tex]

Next, calculate the area of the 50-inch TV

[tex]A_2 = Height \times Width[/tex]

Where

[tex]Width = 43.52[/tex] and [tex]Height = 24.48[/tex]

So:

[tex]A_2 = 24.48 \times 43.52[/tex]

[tex]A_2 = 1065.37[/tex]

So, the percentage occupied on the screen area is:

[tex]\% Screen = \frac{A_1}{A_2} \times 100\%[/tex]

[tex]\% Screen = \frac{1023.59}{1065.37} \times 100\%[/tex]

[tex]\% Screen = \frac{102359}{1065.37} \%[/tex]

[tex]\% Screen = 96.08 \%[/tex]

Hence, the percentage of the screen area occupied is 96.08%

Read more about aspect ratios at:

https://brainly.com/question/17231027

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Explanation:

The volume is 296 cm^3 and the height of the box is 8 cm

The area of the top is 296/8 = 37 cm^2. I'm using the idea that

volume of box = (area of base)*(height)

--------------------

The area of the top is 37 cm^2. Apply the square root to get sqrt(37) = 6.08276 cm which is the approximate length of each side along the top. This only works if the top is a square.

Multiply this by 4 to get 4*6.08276 = 24.33104

The perimeter along the top is roughly 24.33 cm

--------------------

The next task we have to do is convert from inches to centimeters

Multiply by 2.54 to do this.

24 & 1/4 inches = 24 + 1/4 = 24 + 0.25 = 24.25 inches

24.25 * 2.54 = 61.595 cm

The measurement 24 & 1/4 inches converts to about 61.595 cm

This means Adam has about 61.595 cm of ribbon

--------------------

To recap, we found these two facts:

Since the amount he has (61.595) exceeds the perimeter (24.33), this means he does have enough ribbon.

In fact, he has enough ribbon to do 2 boxes because 61.595/24.33 = 2.53 approximately and that rounds down to 2. We don't round to 3 even though we're closer to it.

Answer:

A'(2, -5)

Step-by-step explanation:

we only need to focus on point a (0,4). The translation is moved 9 units down and 2 units to the right, so point (x,y) would become (x+2, y-9). plug 0 and 4 in for x and y respectively, and you get (0+2, 4-9) = (2, -5)

Answer:

Area = Approximately 9.293 x [tex]10^{48}[/tex]

Answer:

The answer is false.

26/3 is 8.66. 8.66 + 6 is 14.66 which doesn't equal 24

9514 1404 393

Answer:

  1921/496

Step-by-step explanation:

There are many rational approximations to √15, some better than others.

A linear approximation is often used:

  √15 ≈ 3 +(15-3^2)/(4^2-3^2) = 3 6/7 = 27/7

That can be refined by one iteration of the Babylonian method of determining the root:

  √15 ≈ (27/7 +15/(27/7))/2 = (3 6/7 +3 8/9)/2 = 3 55/63 = 244/63

This value is equivalent to the root rounded to 4 decimal places.

__

Another iteration of the Babylonian method gives the approximation ...

  √15 ≈ 119071/30744, equivalent to the root rounded to 9 decimal places.

__

The approximation 1921/496 is the best approximation that has a denominator under 1000.

_____

Additional comment

Successive rational convergents of the continued fraction approximation of √15 can be found as ...

  a'/b' = (3a +15b)/(a +3b)

This method adds approximately one more good decimal place per iteration.

__

Successive rational approximations can be found using the Babylonian method (Newton's method iteration) as ...

  a'/b' = (a² +15b²)/(2ab)

This method has "quadratic" convergence. It approximately doubles the number of good decimal places with each iteration.

You can use 3/1, 4/1, or 27/7 to begin either of these iterations.

Answer:

Profit = 20% = 360 Rs

So, Cost Price = 360 / 20 * 100 = 1800 Rs

And Sales Price = 1800 + 360 = 2160 Rs

Discount = 25% of marked price

So Sales Price = (100 - 25) % = 75 % of mark price.

=> 2160 = 75% of marked price.

=> marked price = 2160/75 * 100 = 2880 rs

Hope it helps you.

Answer:look below

Step-by-step explanation:Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6=108.

Answer:

domain is where the line crosses the x-axis, and range is always all real numbers

Step-by-step explanation:

Answer:

[tex]⚪ \: \: 16.5u + 9.8[/tex]

Step-by-step explanation:

[tex]7.9u + 8.5 + 8.6u + 1.3 \\ = (7.9 + 8.6)u + 8.5 + 1.3 \\ = 16.5u + 9.8[/tex]

Answer:

-8

Step-by-step explanation:

plz watch all steps in picture

The value of the composition function (f·g)(-64) is 1750329.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(x)=(x+1)³ and g(x)=∛x+1.

We need to find (f·g)(-64).

We know that, (f·g)(x)=f(x)×g(x)

Here, f(-64)=(-64+1)³

= -63³

= -250047

g(x)=∛(-64)+1

= -8+1

= -7

Now, (f·g)(-64)=f(-64)×g(-64)

= -250047×(-7)

= 1750329

Therefore, the value of (f·g)(-64) is 1750329.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ7

Example of function equation is

f ( x ) − f ( y ) = x − y f(x)-f(y)=x-y f(x)−f(y)=x−y

Example of non Function equation is

y=±√x and x2+y2=9

Answer:

Step-by-step explanation:

[tex]Tan 35 = \dfrac{opposite \ side}{adjacent \ side}\\\\0.7=\dfrac{12}{x}\\\\0.7*x=12\\\\x=\dfrac{12}{0.7}\\\\x=17.1[/tex]

Answer:

0.05, 0.2, 0.48, 0.6

Hope it helps

Answer:

A

Step-by-step explanation:

0.05 < 0.2 < 0.48 < 0.6

Answer:

4

BRAINLIEST, PLEASE!

Step-by-step explanation:

Multiples of 2: 2, 4, 6, 8, 10

Multiples of 4: 4, 8, 12, 16, 20

Answer:

Not Defined

Step-by-step explanation:

Anything divided by 0 is said to be infinity or not defined.

Answer:

C ( 8,-6)

Because you move the points according to the rule.

Answer: 225 square feet

Step-by-step explanation:

If 1 gallon of paint can paint a 300 square foot room to solve how much 3/4th of a gallon can paint lets divide the amount of paint we have and the amount of area 1 gallon paint can cover.

1/4 = 1/4th of a gallon of paint      300/4 = 75 square feet

now we know that 1/4th of a gallon of paint can cover 75 square feet lets multiply everything by 3 so that we can figure out how much 3/4th can cover.

1/4*3 = 3/4th of a gallon             75*3 = 225 square feet

Now we know that 3/4th of a gallon of paint can cover a 225 square feet room.

Answer:

log ([tex]x^{6}[/tex][tex](x-8)^{5}[/tex]

Step-by-step explanation:

Using the rules of logarithms

log [tex]x^{n}[/tex] ⇔ nlog x

log x + log y = log(xy)

Given

6 log x + 5log(x - 8)

= log[tex]x^{6}[/tex] + log[tex](x-8)^{5}[/tex]

= log ([tex]x^{6}[/tex][tex](x-8)^{5}[/tex] )

Answer:

d) on edge

Step-by-step explanation:

have a nice day :)

Answer:

x =  (2c - 3b + 5) / (c - b).

Step-by-step explanation:

c(x - 2) - 5 = b(x - 3)

cx - 2c - 5 = bx - 3b          Bring the terms in x to left side:-

cx - bx  - 2c - 5 = -3b        Bring  other terms to right side:-

cx - bx = 2c  - 3b  + 5

x(c - b) =  2c  - 3b  + 5         Divide both sides by c - b:-

x =  (2c - 3b + 5) / (c - b).

Answer:

[tex]9.2[/tex]

Step-by-step explanation:

20 hundredths is 0.2 and 9 is 9. 9+0.2=9.2.

Side note:

All you had to do is change 9 and 20 tenths into decimals.

Answer:

4y

Step-by-step explanation:

this is the answer. I am sure of it.

Answer:

g(f(x)) = 8x^2 + 6

Step-by-step explanation:

g(f(x)) = 4(2x^2 - 7 + 6) + 10

g(f(x)) = 8x^2 -28 + 24 + 10

g(f(x)) = 8x^2 + 6