Find the unit price (in dollars per ounce) if 1-pound, 9-ounce loaf of bread costs $2. Round your answers to decimal places.

For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Th

Reptile [31]

Answer:

(a) (x-2)^2 +(y-2)^2 = 16

(b) r = 2

Step-by-step explanation:

(a) When the circle is offset from the origin, the equation for the radius gets messy. In general, it will be the root of a quadratic equation in sine and cosine, not easily simplified. The Cartesian equation is easier to write.

Circle centered at (h, k) with radius r:

(x -h)^2 +(y -k)^2 = r^2

The given circle is ...

(x -2)^2 +(y -2)^2 = 16

__

(b) When the circle is centered at the origin, the radius is a constant. The desired circle is most easily written in polar coordinates:

r = 2

6 0

2 years ago

For numbers 14a-14d , tell which expressions require you to rename mixed numbers before you can subtract. Find each difference.

ExtremeBDS [4]

Answer:

14b and 14d require renaming mixed numbers; 14a) 3 3/20; 14b) 2 1/8; 14c) 1 13/24; 14d) 3 3/6 = 3 1/2

Step-by-step explanation:

14a) First we find the least common denominator (LCD). The first thing that both 5 and 4 will divide into is 20; this is our LCD.

It takes 4 5's to make 20; multiplying the numerator by 4, we have 5 8/20. It takes 5 4's to make 20; multiplying the numerator by 5, we have 2 5/20. Subtracting these,

5 8/20 - 2 5/20 = 3 3/20

14b) We must write the whole number 5 as a mixed number with a denominator of 8; 5 = 4 8/8. This gives us

4 8/8 - 2 7/8 = 2 1/8

14c) The LCD of 3 and 8 is 24. It takes 8 3's to make 24; multiplying the numerator by 8, we have 7 16/24. It takes 3 8's to make 24; multiplying the numerator by 3, we have 6 3/24. Subtracting we have

7 16/24 - 6 3/24 = 1 13/24.

14d) The LCD of 6 and 3 is 6. Since the first mixed number has a denominator of 6, we leave it: 9 1/6. It takes 2 3's to make 6; multiplying the numerator by 2, we have 5 4/6. Subtracting we would have

9 1/6 - 5 4/6

We are subtracting a larger fraction from a smaller one. This means we borrow a whole from the whole number, making it 8; this makes the fraction (6+1)/6 = 7/6. This gives us

8 7/6 - 5 4/6 = 3 3/6 = 3 1/2

6 0

3 years ago

Read 2 more answers

The area of a room is 600 square feet. The length is (x + 5) feet and the width is (x + 4) feet. Find the dimensions of the room

tangare [24]

I'm going to assume that the room is a rectangle.

The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle.

You're given that the length, l = (x+5)ft and the width, w = (x+4)ft. You're also told that the area, A = 600 sq. ft. Plug these values into the equation for the area of a rectangle and FOIL to multiply the two factors:
$A = lw\\
600 = (x+5)(x+4)\\
600 = x^{2} + 9x + 20
$

Now subtract 600 from both sides to get a quadratic equation that's equal to zero. That way you can factor the quadratic to find the roots/solutions of your equation. One of the solutions is the value of x that you would use to find the dimensions of the room:
$600 = x^{2} + 9x + 20\\
x^{2} + 9x - 580 = 0\\
(x + 29)(x - 20) = 0\\
x + 29 = 0, \:\: x - 20 = 0\\
x = -29, x = 20$

Now you know that x could be -29 or 20. For dimensions, the value of x must give you a positive value for length and width. That means x can only be 20. Plugging x=20 into your equations for the length and width, you get:
Length = x + 5 = 20 + 5 = 25 ft.
Width = x + 4 = 20 + 4 = 24 ft.

The dimensions of your room are 25ft (length) by 24ft (width).

8 0

3 years ago

Read 2 more answers

Look at jasmine’s picture frame.what is its perimeter

DIA [1.3K]

7 + 7 + 5 + 5 (two sides are 7 and two sides are 5) = 24

5 0

2 years ago

Read 2 more answers

My rule is: y = x + 12 <br> If y = 17 <br> What is x?

Usimov [2.4K]

Answer: