A recipe says to use 4 cups of flour to make 56 cookies. What is the constant of proportionality that relates the number of cookies made, y, to the number of cups of flour used,x?

Answer:

no

Step-by-step explanation:

Answer:

No

Because 5 and 1 have the same output as 1.

Answer:

Correct answer: a) -8

Step-by-step explanation:

Complex Numbers

A complex number z in polar form is expressed as

[tex]z=r(\cos\theta+\mathbf{i}\sin\theta)[/tex]

The nth power of a complex number in polar form is:

[tex]z^n=r^n(\cos(n\theta)+\mathbf{i}\sin(n\theta))[/tex]

If the complex number is given in rectangular form

[tex]z=x+\mathbf{i}y[/tex]

then the values of r and θ are given by:

[tex]r=\sqrt{x^2+y^2}[/tex]

[tex]\displaystyle \theta=\arctan\left(\frac{y}{x}\right)[/tex]

The given complex number is:

[tex]z=1-\mathbf{i}\sqrt{3}[/tex]

The value of r is:

[tex]r=\sqrt{1^2+(-\sqrt{3})^2}[/tex]

[tex]r=\sqrt{1+3}=2[/tex]

r=2

Calculating the angle:

[tex]\displaystyle \theta=\arctan\left(\frac{-\sqrt{3}}{1}\right)[/tex]

[tex]\displaystyle \theta=\arctan(-\sqrt{3})[/tex]

Since the number is in the quadrant IV, the angle is:

[tex]\theta=-60^\circ[/tex]

Thus, z is expressed in polar form as:

[tex]z=2(\cos(-60^\circ)+\mathbf{i}\sin(-60^\circ))[/tex]

Calculating:

[tex]z^3=2^3(\cos(-180^\circ)+\mathbf{i}\sin(-180^\circ))[/tex]

Given cos 180°=-1 and sin(-180°)=0

[tex]z^3=8(-1+0)[/tex]

[tex]z^3=-8[/tex]

Correct answer: a) -8

Answer:

A

Step-by-step explanation:

just finished test

Answer:

x^3 +8x^2 +15x

Step-by-step explanation:

(x+5)(x+3)(x)

foil:

x^2+8x+15 (x)

x^3+8x^2+15x

Answer:

Just getting points i hope u find the answer tho :))

Step-by-step explanation:

Answer:

180 boys

Step-by-step explanation:

If there is a ratio of 9 boys : 11 girls

9 + 11 = 20 total

And if there are 400 students total in the school

400/20 = 20.

9 * 20 = 180

11 * 20 = 220

So the ratio of 400 pupils would now be 180 boys: 220 girls

Answer:

= -32a+64b

Step-by-step explanation:

thats the answer

Answer:

No

Step-by-step explanation:

He will lose 0,05% of the profit

12 x 0,3 = 3,6

3,6 - 3,65 = -0,05

Answer: its the third one

Step-by-step explanation:

:)

Answer:

a

Step-by-step explanation:

Answer: 5 - 9 = -4

Step-by-step explanation:

So 0 represents your starting point. The arrow starting at 0 is going to the right, so it's adding. It ends at 5, so that means the problem begins with 5. The next arrow starts at 5, then goes back to -4, going back 9 spaces. So far we have 5 - 9. It all stops at -4, so that makes it 5 - 9 + -4.

Answer:

Well it seems like you figured it out, thanks for the points :)

Answer:

15

Step-by-step explanation:

24*5=120 / 8 = 15

15 is answer.

Answer:

A shape can have more than one line of symmetry. Thus a rectangle has two lines of symmetry, an equilateral triangle has three lines of symmetry, and a square has four. A circle has an infinite number of lines of symmetry since it can be folded about any diameter.

Step-by-step explanation:

Answer: E

Step-by-step explanation: All of the sides are the same length

Answer:

36

Step-by-step explanation:

8 x 9 = 72

72 ÷ 2 = 36

Find the measurements of the height and length then multiply them together.

Now, divide the sum by two because a triangle has half the area of a square's area.

Answer:

-11

Step-by-step explanation:

Triangles have 180 degrees

using the vertical angle theory we know that 80 and 60 are angles

We can subtract them from 180 to get 40 left

this minus 51 is -11

x is -11

Answer: 12 is the square root of 144

Step-by-step explanation:

Answer:

Step-by-step explanation:

15x+26 + 5x+34 =180

20x + 60 =180

20x=120

z + 15(6) +26=180

z=180-26-90=180-116

hope it helps:)

Answer:

the answers is 3 over 2 in fraction form

Answer:

1 1/2 or 3/2

Steps:

As we know .5 = 1/2

If we take one the 1 out of 1.5 we can use it to connect 1 and 1/2

Answer:

6/72

Step-by-step explanation:

6/72 =0.0833333333

Answer: 2/9 X 3/8

NOW'

2  X 3   =   6   THIS IS THE ANSWER WHEN U MULTIPLY NOW AS PER

9      8        72

THE QUESTION WE NEED TO SIMPLIFY IT....

SOOOOOO LETS SEE FIRST IF WE CAN SIMPLIFY IT......

my method)

6/72 (lets divide num nd deno by 2)

3/36( Ahh! we cn simplify it further now divide by 3)

1/12

Other metthod

6/72 ( DIVIDE BY 6)

1/12

Step-by-step explanation:

Answer:

37.5 miles

Step-by-step explanation:

We can find the rate of conversion by dividing kilometers by miles. 5÷8=1.6, so 1.6 km = 1 mile. Now we can divide 60 by 1.6 to find miles.

[tex]60/1.6=37.5[/tex]

Hope this helped!

Answer:

96 km

Step-by-step explanation:

I try it its 96 km

Trust me

Answer:

x − 9 x ^2 − 8

Step-by-step explanation:

Answer: m∠EFG = 70

Step-by-step explanation:

m∠EFG = 2x35

m∠EFG = 70

In conclusion the answer is 70

Answer:

3x - y = -1

Step-by-step explanation:

y - y₁ = m(x - x₁)

substitute (1,4) in for (x₁, y₁) respectively and the slope of 3 in for m

y -4 = 3(x - 1)

distribute 3 to (x - 1)

y - 4 = 3x -3

isolate 3x by itself by adding 3 to both sides

y - 1 = 3x

subtract y from each side

-1 = 3x - y

and just flip around the equation to make it look nicer

3x - y = -1