Use your equations from Lesson 1 for the Brick candle and the Egyptian candle to create a graph of two polynomial functions so that you can compare volumes for different values of x. Compare the volumes.

My equations from lesson 1 were x^3-x^2 for the brick, and 7x^2 for the Egyptian.

Answer:

DE = 15 cm, AB = 6 cm

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal.

(a)

[tex]\frac{DE}{BC}[/tex] = [tex]\frac{CE}{AC}[/tex] , substitute values

[tex]\frac{DE}{5}[/tex] = [tex]\frac{24}{8}[/tex] = 3 ( multiply both sides by 5 to clear the fraction )

DE = 15 cm

(b)

[tex]\frac{AB}{CD}[/tex] = [tex]\frac{AC}{CE}[/tex] , substitute values

[tex]\frac{AB}{18}[/tex] = [tex]\frac{8}{24}[/tex] ( cross- multiply )

24AB = 144 ( divide both sides by 24 )

AB = 6 cm

Answer:

(f ￮ g)(8) = - 6

Step-by-step explanation:

Evaluate g(8), then substitute the value obtained into f(n)

g(8) = 8 - 2 = 6 , then

f(6) = - 6

Answer:

-62

Step-by-step explanation:

Two functions are given to us , which are ,

[tex]\bf\implies f(n)= -n \\\\\bf\implies g(n)= n - 2 [/tex]

We need to find , ( f • g )(8) . So ,

⇒ ( f • g) = - n ( n - 2 )

⇒ ( f • g) = -n² + 2

⇒ (f • g) = 2 - n²

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Substituting n = 8 :-

⇒ ( f • g)(n) = 2 - n²

⇒ ( f • g)(8) = 2 - 8²

⇒ (f • g)(8) = 2 - 64

⇒ ( f • g)(8) = -62 .

Answer:

3 cakes.

Step-by-step explanation:

12 1/2 divided by 3 1/3 gives you 3.625, then you round it off to 3.

Answer:

3 cakes hope this helps :)

Answer:

4

Step-by-step explanation:

Given:

A 20 sided dice is rolled.

To find:

The probability of getting 11.

Solution:

A 20 sided dice is rolled.

On a 20 sided dice, the possible outputs are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20.

Total number of outcomes = 20

Favorable outcomes or number of 11 = 1

Now,

[tex]\text{Probability of getting 11}=\dfrac{\text{Favorable outcomes}}{\text{Total number of outcomes}}[/tex]

[tex]\text{Probability of getting 11}=\dfrac{1}{20}[/tex]

[tex]\text{Probability of getting 11}=0.05[/tex]

Therefore, the probability of getting 11 is 0.05.

Given:

Mara put down 7.5% on the purchase of her new home.

She put down $14.175.

To find:

The purchase price of the home.

Solution:

Let x be the purchase price of the home.

According to the question,

Put down = 7.5% of the purchase price of the home.

[tex]14.175=\dfrac{7.5}{100}\times x[/tex]

[tex]14.175=0.075x[/tex]

Divide both sides by 0.075.

[tex]\dfrac{14.175}{0.075}=x[/tex]

[tex]189=x[/tex]

Therefore, the purchase price of the home is $189.

Answer:

1/27 is the answer

Step-by-step explanation:

It is 1/(3^3) which is 1/27

Answer:

No this would not be linear. This would be an inverse variation, and doesn't have a linear relation between two variables since there is not constant rate of change or slope.

Answer:

(a)Required relation is 393 + 2x ppm

(b)Amount of [tex]CO_2[/tex] concentration in 2025 is 419 ppm

(c)After 3.5 years concentration of [tex]CO_2[/tex] is 400 ppm

Step-by-step explanation:

From the question it is given that :

Estimated [tex]CO_2[/tex] in atmosphere in 2012 is 393 (parts per million)ppm

[tex]CO_2[/tex] level increasing per year is 2 ppm

(a) Let y be the concentration of [tex]CO_2[/tex] in atmosphere after x years from 2012 then:

y = 393 + 2x ppm

Therefore required relation is 393 + 2x ppm

(b) amount of [tex]CO_2[/tex] in 2025 i.e.,x = 13 years after 2012 is y

y = 393 + 2 x 13 = 393+ 26 = 419 ppm

Therefore, amount of [tex]CO_2[/tex] concentration in 2025 is 419 ppm

(c) give y = 400 ppm and x be the year then

400 = 393 + 2x

2x = 7

⇒ x = 3.5 years

Therefore after 3.5 years concentration of [tex]CO_2[/tex] is 400 ppm

Answer:

#11: last option is answer

#12: first option is answer

Step-by-step explanation:

#11) 5x + 6 ≤ 11

     5x ≤ 5

       x ≤ 1  to graph this you need a solid dot on 1 and shading to the left

#12) 5p+ 4 > 14

       5p > 10

        p > 2  to graph this you need an open dot on 2 and shading to the right

Answer:

11.  5x + 6 <= 11.

12. 5p + 4 > 14.

Step-by-step explanation:

11.  THE GRAPH shows that x <= 1.

So it is 5x + 6 <= 11  because

5x <= 5

x <= 1.

12. THE GRAPH shows that p > 2.

So it is 5p + 4 > 14.

5p + 4 > 14

5p > 10

p > 2.

Answer:

17

Step-by-step explanation:

15^2+8^2=17^2

Answer:

The art gallery is 2 city blocks from the car wash

Step-by-step explanation:

Let us solve the question

∵ The art gallery is located at the point (13, -3)

∴ x1 = 13 and y1 = -3

∵ A car wash is located at (13, -5)

∴ x2 = 13 and y2 = -5

∵ x1 = x2 = 13

→ That means the gallery and the car wash located vertically over each other

∴ The distance between them = Iy2 - y1I

∵ y1 = -3 and y2 = -5

∴ The distance between them = I-5 - (-3)I

∴ The distance between them = I-5 + 3I

∴ The distance between them = I-2I

→ Remember the absolute value cancel the negative sign

∴ The distance between them = 2 units

∵ Each unit on the map is a city​ block

∵ The distance between them is 2 units

→ That means the vertical distance between them is 2 city blocks

∴ The art gallery is 2 city blocks from the car wash

Answer:

what Netflix show were you watching?

Answer: -5, 5, 9

Step-by-step explanation: Range means y values.

The second option, 3/4 = 9/12 is a proportion.

Hope this helped! :D

Answer:

B

Step-by-step explanation:

To find the correct proportion you simplify all fractions into their simpliest form. If you do this you'll find that only B has two equivalent fractions

Answer:

206 miles/hour

Step-by-step explanation:

1 kilometre per hour = 0.621 mile per hour

332 km/hr to miles per hour

= 332 km/hr × 0.621 miles per hour

= 206.295 miles per hour

Approximately to the nearest whole number

= 206 miles per hour

Badminton world record smash speed in miles is 260.17 mile per hour.

Given that;

Badminton world record smash = 332 kilometers per hour

1 kilometer per hour = 0.621 mile per hour

Find:

Badminton world record smash speed in miles

Computation:

Badminton world record smash speed in miles = 332 × 0.621

Badminton world record smash speed in miles = 260.17 mile per hour

Find more information about 'mile per hour'.

https://brainly.com/question/25997178?referrer=searchResults

Answer:

4488

Step-by-step explanation:

(24)(187)

Answer:

11/15=x/240

240/15=16

11 x 16=176

11/15=176/240 or rather he completes 176 passes

Step-by-step explanation:

Answer:

If you are talking about y=[tex]y= \frac{3}{4} x -3,[/tex] then the graph would be Graph A.

Answer:

ASA

Step-by-step explanation

They have a congruent angle at the top of the triangle and they both have a right angle at the bottom. They share the same side, so this is ASA.

Answer:

72-x=28 or 72-28=x

Step-by-step explanation:

Answer:

the answer is -3 because -++ in the high eat number so the -7 is the bigest

Answer:

58

Step-by-step explanation:

thank me later

The percentage of people receiving treatment 1 had improved health is 48%. The percentage of people receiving treatment 2 had improved health will be 52%.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that scientists give two different treatments to people who have the flu and determine if their health improved. The results of the test are in the two-way table.

The percentage of people receiving treatment 1 had improved health is calculated as,

Percentage = 23 / ( 23 + 25 )

Percentage = 0.48 x 100 = 48%

The percentage of people receiving treatment 2 had improved health is calculated as,

Percentage = 25 / ( 23 + 25 )

Percentage = 0.52 x 100 = 52%

Therefore, the percentage of people receiving treatment 1 had improved health is 48%. The percentage of people receiving treatment 2 had improved health will be 52%.

To know more about percentages follow

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Answer:

the three angles of a triangle have measures x,2x,and 4y,where x>56.If x and y are integers, what is one possible value of y?

Answer:

3/4 becuae fractions if u have 1/2 which is like 50% and take 25% of it u have only 25% left

Answer:

Strong positive

Step-by-step explanation:

I had that question on a test

Answer:

so what was the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x + 4 - 3

= 4x + 1

Yes they both are equivalent because the algebraic expression is same

Step-by-step explanation:

150 minutes = 2.5 hours.

2.5 hours * (70 miles/hr) = 175 miles.

2 hours * (81 miles/hr) = 162 miles

Total distance = 175 + 162 = 337 miles.

Hence Michael drove 337 miles in total.

Answer:lek

Step-by-step explanation:

Leo