Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet (length) by 13 feet (width). The walls in the room are 9 feet tall, and the room contains two doors and two windows. Charlotte has decided to put new carpet in the bedroom. The carpet she chose costs $1.85 per square foot, not including the cost of labor or other related materials. She was given the following information by the local flooring store where she is purchasing the carpet. She is required to purchase a piece of carpet which includes a 3-inch overlap on all sides. Labor and material costs will relate to the area of this piece. The labor costs are $23 per hour, per person. A two-person carpet crew can lay 50 square feet of carpet each hour. The crew that will complete the job at Charlotte's house will be a four-person crew. There is an additional $75 fee to cover the cost of equipment, materials, and supplies. What are the dimensions of the piece of carpet that Charlotte must purchase? Note: Express your answer as a decimal number and do not round.

Answer:

I'm a little confused by this question:

Lines and things that are linear are relatively boring in mathematics. What if my function f(x) = g'(x). I’m going to ask the same question in a different way.

What is an approximate value of g'(1.1)?

So I know L(x)=f(a)+f′(a)(x−a)

If I substitute items in, I get g′(x)+g′′(x)(x−x).

Since x−x=0 I always am going to end up with L(x)=g′(x)

I don't think this can be the right answer since I know the whole point is to use the 2nd derivative, but if you get 0 for (x−a), then the whole part ends up being 0. What am I missing here?

I'm completely lost here because these are the followup question after the one above:

Now things are interesting. Suppose g(1) = 0 and g'(1) = 1.

Use linear approximation to approximate the value of g(1.1). The answer to #2 and #3 gives us a slope of a tangent line and a value of a function, which we can use.

Use your previous answers to approximate the value of g(1.2). Somehow, this second derivative has caused an adjustment to our approximation.

What did using the second derivative do to the approximation?

Do you believe the approximation is better or worse than our original?

Step-by-step explanation:

Answer:

7 * 10 to the power —5

Step-by-step explanation:

check out the attached photo.

Answer:

70x - 10

Step-by-step explanation:

Answer:

whatever number is repeating the most is the answer.

D) Line JK

<----->

JK

Hope it helps :)

Answer:

16

Step-by-step explanation:

no image, but 6 + 2 + 2 + 6 = 16

Answer:

3672 sq in

Step-by-step explanation:

The area painted would be 3672 sq in.

The surface area of the figure is 720 square inches

The surface area of a figure is the sum of all the area of its faces.

For the given diagram, it consists of 2 triangular faces and 3 rectangular faces

Surface area= (5 * 24) + 2(13*12) + 24 * 12

Surfacee area = 120  + 312 + 288

Surface area = 720 square inches

Hence the surface area of the figure is 720 square inches

Learn more on surface area here: https://brainly.com/question/76387

Answer:

Step-by-step explanation:

60 - 3y - 9

= 60 - 9 - 3y

= 51 - 3y.

There are total 6

Look at the attachment for proof

If we join all three diagonals we get 6 equilateral triangle

Answer:

There are 6 equilateral triangles in a regular hexagon.

Step-by-step explanation:

A regular hexagon can be dissected into 6 equilateral triangles by adding a center point .

Answer:

1) 40 m; 2) 18 cm

Step-by-step explanation:

1) Length = 10 m

Breadth = 4 m

Perimeter of a rectangle

= length (l) × breadth (b)

= 10 × 4

= 40 m

2) Side 1 = 6 cm

Side 2 = 8 cm

Side 3 = 4 cm

Perimeter of a triangle

= Side 1 + Side 2 + Side 3

= 6 + 8 + 4

= 18 cm

_______

Hope it helps ⚜

Answer:

1. 28m

2. 18 cm

Step-by-step explanation:

Perimeter of rectangle = 2× (length + breadth )

=> 2 ( 10 + 4 )

=> 2 ( 14 )

=> 28 m

Perimeter of triangle = side a + side b + side c

=> 6cm + 8cm + 4cm

=> 18 cm

Answer:

To find a probability Multiply two independent events.

Using sampling concepts, it is found that these following sample is biased.

Select all students in all Miami high schools.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the only sample that does not englobe all of Florida is the one containing only students from Miami, hence the biased sample is:

Select all students in all Miami high schools.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer:

115.5 cubic meters.

Step-by-step explanation:

First find the are which is 10.5 because are is base times width divided by 2

The multiply the are with the height. 10.5 times 11 equals 115.5 cubic meters.

Answer:

12 inchis

Step-by-step explanation:

Answer:

d= 8.6 ft

Step-by-step explanation:

In similar triangles, the corresponding sides are in proportion.

[tex]\boxed{\dfrac{AW}{MZ}=\dfrac{AJ}{MJ}=\dfrac{WJ}{ZJ}}[/tex]

To find the value of x,

[tex]\dfrac{AJ}{MJ}=\dfrac{WJ}{ZJ}\\\\\\\dfrac{6}{7}=\dfrac{d}{10}\\\\\\\dfrac{6}{7}*10=d[/tex]

d = 8.6 ft

$37.52

I know it seems close, but the coupon doesn't do much when you repay a total of 18% before the coupon.

Answer:

$3.20

Step-by-step explanation:

1.60 x 2 = $3.20

You need $3.20 to buy 2 scoops of ice cream.

Answer:

Step-by-step explanation:

Since the cost of one ice cream scoop is $1.60, you would either have to add $1.60 two times, or multiply 1.60x2.

$1.60+$1.60 or 1.60x2=$3.20.

Therefore, the answer to the question would be “$3.20 would be needed to buy two scoops of ice cream.”

Answer:

100 cm square?

Step-by-step explanation:

1 meter square = 100 cm square

Answer:

10,000 cm²

Step-by-step explanation:

m² to cm² conversion

So, the surface area of the prism in cm² is 10,000 cm²

Answer:

4pi

Step-by-step explanation:

Divide through by two to get

x^2 + y^2 = 4       4 = radius squared     radius = 2

area = pi r^2 = 4 pi

Answer: 4π

Step-by-step explanation:

Under the assumption that those are exponents, and your equation is:

[tex]2x^2+2y^2=8[/tex]

You first must turn this circle equation into standard form. The standard form for the equation of a circle is as follows:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

For your case, the constants 'a' and 'b' are clearly zero. We have an annoying coefficient of 2 which can be cancelled by dividing both sides by 2:

[tex]x^2+y^2=4[/tex]

If you'd like, we can write this in the following way:

[tex](x-0)^2+(y-0)^2=2^2[/tex]

So, our circle is centered at the origin (0, 0) and has a radius of 2 units. The area of a circle is given by the formula:

[tex]A=\pi r^2[/tex]

[tex]A=\pi (2^2)=4\pi[/tex]

Answer:

490

Step-by-step explanation:

d(x)=700-7(30)

7x 30=210

700-210=490

therefore,

r(x)=490

Answer:

50 m

Step-by-step explanation:

We find the perimeter by adding all the sides of our figure.

The initial figure has perimeter :

P = 2 + 5 + 1 + 3 + 3 + 1 + 5

P = 20 m

The dilated figure with the scale factor of 2.5 has perimeter:

P = (2 + 5 + 1 + 3 + 3 + 1 + 5 ) · 2.5

P = 20 * 2.5 = 50 m

Charlie is correct.

Answer:

Scatterplot.

Step-by-step explanation:

Scatterplots help in analyzing the relationship between two continuous variables

Answer:

Step-by-step explanation:

I'm assuming the 7 is the question number.

The cube root is -2. There is only 1 real root.

You could find it this way. ∛(-8) = ∛-2 * - 2 * - 2

The rule for cube roots when the number has 3 roots that are the same is to take one outside the ∛ sign and discard the other 2.

-2 ∛1 The cube root of one is one.