Mr. Hawkins is covering a room in carpet. The room measures 14 feet by 12 feet in a rectangular shape. Each square foot of carpet costs $2.10. What is the cost of carpeting the room?

Answer:

rational

Step-by-step explanation:

Answer:

Rational.

Step-by-step explanation:

A real number is rational.

Answer:1/4

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

1/3 ÷ 4

1/3 x 1/4 = 1/12

Answer:

Step-by-step explanation:

4p(p−7q)

=(4p)(p+−7q)

=(4p)(p)+(4p)(−7q)

=4p squared −28pq

Answer: [tex]8(4x^3-y^2)[/tex]

Step-by-step explanation:

[tex]32x^3-8y^2[/tex]

[tex]8(4x^3-y^2)[/tex]

Answer:

[tex]6x^2+12xy[/tex]

Step-by-step explanation:

By the distributive property:

[tex]3x(2x+4y)= \\\\3x(2x)+3x(4y)=\\\\6x^2+12xy[/tex]

Hope this helps!

Answer:

The vertical asymptote for the reciprocal of y=8x-4 is [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given Equation : [tex]y = 8x-4[/tex]

Reciprocal of given equation =[tex]\frac{1}{y}=\frac{1}{8x-4}[/tex]

Now to find the vertical asymptote

[tex]\frac{1}{y}=\frac{1}{8x-4}[/tex]

Equate denominator to 0

8x-4=0

8x=4

[tex]x=\frac{4}{8}[/tex]

[tex]x=\frac{1}{2}[/tex]

So, The vertical asymptote is[tex]\frac{1}{2}[/tex]

Hence the vertical asymptote for the reciprocal of y=8x-4 is [tex]\frac{1}{2}[/tex]

Answer:

-1

Step-by-step explanation:

-7/10+7/15+1/-20+-9/10+11/15+11/-20

= -7/10 + -9/10 + 7/15 + 11/15 + 1/-20 + 11/-20

= -16/10 + 18/15 + 12/-20

= -8/5 + 6/5 + -3/5

= (-8+6-3)/5

= -5/5

= -1

Answer:

f(3) = 100

Step-by-step explanation:

Using the recursive formula and f(1) = 1 , then

f(2) = - 10 f(1) = - 10 × 1 = - 10

f(3) = - 10 f(2) = - 10  × - 10 = 100

Answer:

100

Step-by-step explanation:

Answer:

3 / 5x^6y^6

Step-by-step explanation:

= -9x^-1y^-9/-15x^5y^-3

= -9y-9 / -15x^6y^-3

= -9 / -15x^6y^6

= 3 / 5x^6y^6

Answer:

b on edge

Step-by-step explanation:

Answer: B on ed, i just took my test

Step-by-step explanation:

Answer:

on edge 2021

Step-by-step explanation:

just took the test :)

Answer: 21.21 meters

Step-by-step explanation:

Hi, to answer this, first we have to calculate the circumference (C) of the wheel:

C = π x diameter

Replacing with the values given:

C = π x 45 = 141.37 cm

Then we multiply it by the number of revolutions:

141.37 x 15 = 2,120.6 cm

Since  

1 cm = 0.01 m

2,120.6 x 0.01 = 21.21 meters

Feel free to ask for more if needed or if you did not understand something.

Answer:

2+i or 2-i (D)

Step-by-step explanation:

First you use the quadratic formula.  X= (-b +/- [tex]\sqrt{b^{2}-4ac }[/tex])/2a

a=1

b=-4

c=5

X= (4 +/- [tex]\sqrt{16-20}[/tex])/2

X=(4 +/- [tex]\sqrt{-4}[/tex])/2

The square root of -4 is 2i.  i=√-1.  Therefore 2i= 2√-1 .If you simplify that, it becomes  √-4i.  

X= (4+/- 2i)/2

X= 2+/-i

X= 2+i or 2-i

Answer:

Step-by-step explanation: you can use a protractor if you have 1 or seeing as the bottom left is 65, the bottom right will be the same, mostly a guess but half 65 and try that.

The given equation is in the form ax^2 + bx + c = 0, where

a = 2

b = -12

c = 18

Those a,b,c values are plugged into the discriminant formula below

d = b^2 - 4ac

d = (-12)^2 - 4(2)(18)

d = 144 - 144

d = 0

The discriminant is zero, so there is only one real root. This root is specifically a rational number.

Answer:

76.3 cm²

Step-by-step explanation:

step 1

step 2

step 3

step 4

if i understand correctly what you mean by this question the answer could be

14/24

28/48

you can just keep multiplying the top and the bottom by the same number to get an equivalent fraction

im sorry if i understood the question wrong, i hope this helped a little bit

Disclaimer: The options are missing. The options to the question are:

A.7x1/12; B.7/7x12/12; C.1/7x7/12; D.12x1/7

The expression equivalent to 7/12 is 7x1/12. So, option A. is the right choice.

Two fractions are said to be equivalent fractions when they both give the same value in their reduced or simplest form.

We are asked to find the expression equivalent to 7/12 from the given options.

To solve the question, we reduce all the options to their simplest form. The option = 7/12 will be our answer.

As we can see only option A. 7 * 1/12 = 7/12 in its simplest form, so it is the right option.

Learn more about equivalent fractions at

https://brainly.com/question/875439

#SPJ2

Answer:

Option C

Step-by-step explanation:

zero's are

(2, 0) and (0, -2)

y= x-2, x<3

(3, 2) and (4,3)

y=x-1, x≥3

These are covered in Option C

Answer:

Calculating the distance travelled

Calculate the total distance travelled by the object - its motion is represented by the velocity-time graph below.

Here, the distance travelled can be found by calculating the total area of the shaded sections below the line.

½ × base × height.

½ × 6 × 2 = 12 m 2

(10 – 6) × 2 = 8 m 2

Answer:

Calculate the total distance travelled by the object - its motion is represented by the velocity-time graph below.

Here, the distance travelled can be found by calculating the total area of the shaded sections below the line.

½ × base × height.

½ × 4 × 8 = 16 m 2

(10 – 4) × 8 = 48 m 2

Step-by-step explanation:

6. C.

7. B.

8. B.

9. B.

10. C

Answer:

y=2

Step-by-step explanation:

since the line is horizontal, on the point 2 on the y axis, the equation is 2. If, however the line were to be diagonal, it would have been different, as would it if the line were vertical(in which case, the equated would start x =)

Hope this helps

Answer: y =2

Step-by-step explanation:

Answer:

47.12388

Step-by-step explanation:

Wheel Diameter = Wheel 2 x Radius; 50 cm / 2 = 25 cm.

For one rotation of the wheel, the distance travelled = circumference of the wheel.

Circumference = 2 x pi x radius = 2 x 3.1415926858 x 25 cm = 157.07 cm approx.

Distance travelled with 30 turns of the wheel = 30 x 157.07 = 4712.39cm approx.

Distance in meters = 4712.39cm / 100 = 47.12388 meters approximate (1 cm = 1/100th of a meter).

hope it helps you

The requried bicycle wheel makes approximately 1910 complete rotations over a distance of 3 km.

The circumference of the bicycle wheel is equal to its diameter multiplied by π (pi).

Here

Circumference = diameter x π = 50 cm x 3.14 ≈ 157 cm

To find the number of rotations, we need to divide the distance traveled by the circumference of one rotation:

Number of rotations = Distance ÷ Circumference

Number of rotations = 300000cm ÷ 157 cm = (3000 m ÷ 157 cm) ÷ (100 cm ÷ 1 m) = 1910.82

Therefore, the bicycle wheel makes approximately 1910 complete rotations over a distance of 3 km.

Learn more about circumference here:

brainly.com/question/6465134

#SPJ3

Answer:

(g*h)(5) is g(h)=x

Step-by-step explanation:

because if h(x)=x-7 and g(x)=x^2.

Answer:

5

Step-by-step explanation:

To evaluate (g ￮ h)(9), evaluate h(9) , then use this value to evaluate g(x)

h(9) = [tex]\sqrt{9}[/tex] = 3, then

g(3) = 2(3) - 1 = 6 - 1 = 5

Answer:

41 degrees

Step-by-step explanation:

Since the sum of the interior angles of a triangle will always be 180 degrees:

42+56+2x=180

2x=82

x=41

Hope this helps!

Answer:

[tex]solution \\ 42 + 56 + 2x = 180(sum \: of \: angle \: in \: triangle) \\ or \: 98 + 2x = 180 \\ or \: 2x = 180 - 98 \\ or \: 2x = 82 \\ or \: x = \frac{82}{2} \\ x = 41[/tex]

hope this helps...

Good luck on your assignment...

Answer:

144 inches.

Step-by-step explanation:

One foot = 12 inches

One square foot = 144 inches.

Answer:

144

Step-by-step explanation:

Foot=12 inch

Square foot= foot times foot

Square foot= 12 inch times 12 inch

Square foot= 144 square inch.

Answer:

125.66

Step-by-step explanation:

Answer:B

Step-by-step explanation:

-36 – 8=-44

36+8=44

-36 + (-8)=-44

8 – 36=-28

-8+36=28

As you can see only B equals -44 just like the expression given,

Hope my explanation helps

Answer:

40.9 mi

Step-by-step explanation:

The four points will make the rectangle, and each pair of points in sequence will create a side of the rectangle. So, to find the length of each side, we need to find the distances between each pair of points in sequence:

distance between (0,0) and (0, 7.65) -> |7.65 - 0| = 7.65 mi

distance between (0,7.65) and (12.8, 7.65) -> |12.8 - 0| = 12.8 mi

distance between (12.8, 7.65) and (12.8, 0) -> |0 - 7.65| = 7.65 mi

distance between (12.8, 0) and (0, 0) -> |0 - 12.8| = 12.8 mi

So the perimeter is 7.65 + 12.8 + 7.65 + 12.8 = 40.9 mi

Answer:

40.9 mi

Step-by-step explanation:

will make it simple and short

in a surveying measurements with coordinates, we always take it from the Zero. So each coordinates must be subtracted from Zero to get the length of each point.

therefore the perimeter = 0 + 7.65 + 12.8 + 7.65 + 12.8 + 0 = 40.9 mi

Answer:

  0.4762

Step-by-step explanation:

There are 9C5 = 126 ways to choose 5 candidates to give speeches. There are (5C3)(4C2) = 60 ways that 3 of those candidates can be biology majors (and the other two can be non-biology majors). The probability of interest is ...

  60/126 ≈ 0.4762

__

nCk = n!/(k!(n-k)!)

Answer:

135° and 225°

Step-by-step explanation:

basically you want to find the value of x between 0 and 360 in this equation

cos x/2 = -(√2)/2

assume x/2 as n, so

cos n = -(√2)/2

n = 45°

then remember the quadrant system

0-90 1st quadrant, all is POSITIVE

90-180 2nd quadrant, only SIN has positive value

180 - 270 3rd quadrant, only TAN has positive value

270 -360 4th quadrant, only COS positive here.

so if you try to find negative value look into 2nd and 3rd quadrant that related 45° to x-axis (0°or 180°)

so the value of x is

180 - 45 = 135° (2nd quadrant) and

180 + 45° = 225° (3rd quadrant)