Paul's house has an area of 1,650 square feet. He plans to add another room on to his house. The new rectangular addition will have dimensions 12 feet by 15 feet. What is the area of the house after the new room has been added?

PLEASE HELP

Answer:

d ≈ 8.5 units; M (6, 6.5, 4)

Step-by-step explanation:

Got a lucky guess.  Hope this helps:)

Answer:

Explanation:

Radius: 1.9

Height: 2.6

π: 3.14

Round: 9.8

Answer:

Step-by-step explanation:

Part A

If the gardener increases the number of dahlia plants by buying the new bulbs,

Let the equation representing year (x) and number of bulbs purchased (y) is,

y = mx + b

Here, m = Number of plants purchased each year

b = Initial numbers of plants

For x = 0, and y = 6,

6 = m(0) + b

b = 6

For x = 1, y = 56,

56 = m(1) + 6

m = 50

Therefore, equation for this method of increasing the numbers of plants will be,

y = 50x+ 6

Let the equation for the second method of increasing the number of plants is represented by the equation,

y = a(b)ˣ

From the data given in the table,

For x = 0, y = 6

6 = a(b)⁰

a = 6

For x = 1, y = 12

12 = 6(b)¹

b = 2

Therefore, equation representing the second method (By diving the existing bulbs) will be,

y = 6(2)ˣ

Part B

By substituting the value of x = 10 years,

Method - 1

y = 50(10) + 6

y = 506 plants

Method - 2

y  = 6(2)¹⁰

y = 6144 plants

Part C

After 5 years number of plants by method - 1,

y = 50(5) + 6

  = 256

After 5 years number of plants by method - 2,

y = 6(2)⁵

y = 192

Similarly, After 10 years number of plants by method - 1,

y = 50(10) + 6

  = 506

By method - 2,

y = 6(2)¹⁰

y = 6144

Since, number of plants after 5 years are less by the second method as compared to method 1

But after 10 years second method results the number of plants more than method-1,

Therefore, gardener should adopt method 2 for increasing the numbers of plants.  

Functions are used to represent tables and equations.

(a) The equation of the functions

The function of "Buy New Bulbs" is a linear function with an initial value of 6, and a rate of 50 (i.e. 56 - 6)

So, the equation is:

[tex]y = 6 + 50x[/tex]

The function of "Divide Existing Bulbs" is an exponential function with an initial value of 6, and a rate of 2 (i.e. 12/6)

So, the equation is:

[tex]y = 6(2)^x[/tex]

Hence, the equations of the functions are [tex]y = 6 + 50x[/tex] and [tex]y = 6(2)^x[/tex]

The expected number of bulbs in 10 years

This means that x = 10.

So, we have:

[tex]y = 6 + 50x =6 + 50*10 = 506[/tex]

[tex]y = 6(2)^x =6 *2^{10} = 6144[/tex]

Hence, the expected number of bulbs in 10 years for both functions are 506 and 6144, respectively

Compare the expected number of bulbs in 5 and 10 years

When x = 5.

We have:

[tex]y = 6 + 50x =6 + 50*5 = 256[/tex]

[tex]y = 6(2)^x =6 *2^5 = 192[/tex]

When x = 15

We have:

[tex]y = 6 + 50x =6 + 50*15 = 756[/tex]

[tex]y = 6(2)^x =6 *2^{15} = 196608[/tex]

By comparison;

In 5 years, the expected number of bulbs for the function of "Buy New Bulbs" is greater than the function of "Divide Existing Bulbs", however the expected number of bulbs for the function of "Buy New Bulbs" is less than the function of "Divide Existing Bulbs" in 15 years

Read more about functions at:

https://brainly.com/question/15602982

Answer:

n

Step-by-step explanation:

Answer: 91, and 112

Step-by-step explanation: its is by two each time for example in the 7 time tables you see 7, 14, 21, 28 so the number after 14 and 21 is the next number, hope this helped have a good day or night. :)

Answer:

Point Q is in between -3 and -2

Step-by-step explanation:

Point P is in between 2 and 3 so now do the opposite.

Answer:

[tex]D = (7,3)[/tex]

Step-by-step explanation:

Given

[tex]D = (3,7)[/tex]

See attachment for graph

Required

Identify and correct the error

From the attached graph, the coordinate of D is at:

[tex]x = 7[/tex]

[tex]y = 3[/tex]

So:

Allie's mistake is that, she identifies x as y coordinate and y as the x coordinate.

So, the right coordinate is:

[tex]D = (7,3)[/tex]

The answer would be 128z^9.

This is because when you multiply exponents with a variable (z), you keep the base the same (8z and 16z), but you add the exponents together.

Answer:

x = 7, -1

Step-by-step explanation:

Answer:

population = 5652 people

Step-by-step explanation:

area = πr² = (3.14)(6²) = 113.04 mi²

at 50 people/mi², then 113.04 x 50 = 5652 people

Question:

Find the scale factor of trapezoid [tex]\mathrm{Q}\mathrm{R}\mathrm{S}\mathrm{T}[/tex] if it is dilated to [tex]\mathrm{Q}^{'} \mathrm{R}^{'} \mathrm{S}^{'} \mathrm{T}^{'}[/tex].

Type your result in the empty box provided below.

Answer:

The scale factor is 2

Step-by-step explanation:

Given

See attachment for plots

Required

Determine the scale factor

Using QR and Q'R' as points of reference.

From the attached plot, we have:

[tex]QR = 4\ units[/tex]

[tex]Q'R' = 8\ units[/tex]

The scale factor (k) from [tex]\mathrm{Q}\mathrm{R}\mathrm{S}\mathrm{T}[/tex] to [tex]\mathrm{Q}^{'} \mathrm{R}^{'} \mathrm{S}^{'} \mathrm{T}^{'}[/tex]. is:

[tex]k = \frac{Q'R'}{QR}[/tex]

[tex]k = \frac{8\ units}{4\ units}[/tex]

[tex]k =2[/tex]

Answer:

d

Step-by-step explanation:

can i have brainliest

Answer:

y=c+6

Step-by-step explanation:

this is the only equation I could think that fits the situation

hope this helped!

Answer:

x ≈ 14.6

Step-by-step explanation:

Using the sine ratio in the right triangle

sin59° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{17}[/tex] ( multiply both sides by 17 )

17 × sin59° = x , then

x ≈ 14.6 ( to 1 dec. place )

Answer:

y = 2x + 1

Step-by-step explanation:

Line is passing through the points (-3, - 5) and (4, 9)

Slope of the line (m) [tex] =\frac{-5-9}{-3-4}=\frac{-14}{-7}=2[/tex]

Equation of line in given as:

[tex]y - 9 = 2(x - 4) \\ \\ y - 9 = 2x - 8 \\ \\ y = 2x - 8 + 9 \\ \\ y = 2x + 1[/tex]

Answer:

50 i think but i'm not 100 % sure i'm sorry

Step-by-step explanation:

Answer:

D. perpendicular bisesecor

Step-by-step explanation:

Answer:

hello

bring the side of the first part of the triangle then you can to bring the (x) of the second traingle

Answer: 4.50 Look at the picture

Step-by-step explanation: Hope this help :D

Answer: 6 units squared

Step-by-step explanation: ok here is how you do it so you make the triangle like I did and once you make it. You count the squares about how long it is and how high it is in this case I got for the base 6 and the height 2 so we multiply to get 12 also we divide 12 and 2 to get 6 units squared there you go. hope this helps.

Answer:

(of an increase) becoming more and more rapid.

"the social security budget was rising at an exponential rate"

Step-by-step explanation:

✨research ✨

Answer:

(of an increase) becoming more and more rapid.

(Mathematics)

of or expressed by a mathematical exponent.

Step-by-step explanation:

Answer:

2) 70,000

Step-by-step explanation:

since they have said estimate meaning frist round off

679 rounds up to 700 and 98 rounds up to 100

700×100

70000

Answer:

-3p^7 + 8p

Step-by-step explanation:

OPPOSITE: having a position on the other or further side of something; facing something, especially something of the same type.

9514 1404 393

Answer:

  (x, y) = (8, 2)

Step-by-step explanation:

Using the geometric mean rules for this geometry, we have ...

  h = √(4·32) = 8√2

and also ...

  a = √(4·36) = 12

  b = √(32·36) = 24√2

For the problem at hand, ...

  h = 8√2 = x√y   ⇒   x = 8, y = 2

Answer:

8:64

Step-by-step explanation:

1*8 = 8

so if we do the number under 1 (8) times 8 the ratio will be consistent

So 8*8 or 8² is 64

Hope I helped (p.s. maybe brainlest answer)

Answer:

24

Step-by-step explanation:

I just took this test and got an A

Have a great day!

Answer:

22

Step-by-step explanation:

22 because I did it already

Answer:

a) For Khalil's purchase

4x + 3y = 11.67.....Equation 1

For Ronda's purchase

8x + y = 12.89......Equation 2

b) A can of soup = x = $2.09

Loaf of bread = y = $1.35

Step-by-step explanation:

A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and three

loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.

Homework Help!

Let us represent:

a can of soup = x

Loaf of bread = y

a. Write equations for both Khalil's and Ronda's purchases.

For Khalil's purchase

= Khalil buys four cans of soup and three loaves of bread for $11.67.

4x + 3y = 11.67.....Equation 1

Ronda buys eight cans of soup and one loaf of bread for $12.89.

8x + y = 12.89......Equation 2

b. Solve the system to find the price of one can of soup and the price of one loaf of bread.

We have:

4x + 3y = 11.67.....Equation 1

8x + y = 12.89......Equation 2

y = 12.89 - 8x

We substitute 12.89 - 8x for y in Equation 1

4x + 3(12.89 - 8x) = 11.67

4x + 38.67 - 24x = 11.67

38.67 - 11.67 = 24x - 4x

27 = 20x

x = 27/20

x = 1.35

y = 12.89 - 8x

y = 12.89 - 8 × 1.35

y = 12.89 - 10.8

y = 2.09

Therefore,

Solving for y

a can of soup = x = $2.09

Loaf of bread = y = $1.35

Answer:

eq: s= 5w + 3

Step-by-step explanation:

independent: number of weeks

dependent:  amount of stickers

the amount of stickers depend on how many weeks pass by :) (English is my second language so I may write weird)

Answer:  Other Answers..

SHOW ANSWER

6*2 =12

4*3 = 12

12*1 = 12

answer is B inverse variation xy=12

...............................................................................................................................................

Step-by-step explanation:  Brainly answers.. -_-

6*2 =12

4*3 = 12

12*1 = 12

answer is B inverse variation xy=12

...............................................................................................................................................

Answer:

The correct option is B.

Step-by-step explanation:

From the given table it is notices that the value of y decreases as x increases, therefore it is an inverse variation.

The inverse variation is defined as

Where, k is constant of proportionality.

From the given table it is clear that the value of y is 6 at x=2.

The value of k is 12. So, the required model is

Therefore, the correct option is B.

Answer: B

Step-by-step explanation:

Answer:

1008

Step-by-step explanation:

All you have to do is find what 24 percent of 4200 is.