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Sunny_sXe [5.5K]
3 years ago
15

A recipe for pizza dough calls for 1 1/2 cups of water and 6 cups of flour. How much water is used per cup of flour?

Mathematics
2 answers:
Alexandra [31]3 years ago
6 0

Answer:

1/4 cups

Step-by-step explanation:

Alona [7]3 years ago
5 0

Answer: 0.25

Step-by-step explanation:

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Grandma's recipe for sugar cookies 1 cups butter 2 cups sugar 4 eggs 1/2 teaspoon baking powder 1 1/4 cups of flower 1/4 teaspoo
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What is the 23rd term of the arithmetic sequence where a1 = 8 and a9 = 48?
yKpoI14uk [10]
a_1=8
a_2=a_1+d=8+d
a_3=a_2+d=(8+d)+d=8+2d
a_4=a_3+d=(8+d)+2d=8+3d
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a_9=8+8d=48\implies d=5
a_{10}=8+9d
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a_{23}=8+22d=118
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3 years ago
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Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.
SashulF [63]

<u>ANSWER</u>

{r}^{2}  = 4  \cos2\theta

<u>EXPLANATION</u>

The Cartesian equation is

{( {x}^{2}  +  {y}^{2} )}^{2}  = 4( {x}^{2} -  {y}^{2}  )

We substitute

x = r \cos( \theta)

y = r \sin( \theta)

and

{x}^{2}  +  {y}^{2}  =  {r}^{2}

This implies that

{( {r}^{2} )}^{2}  = 4(( { r \cos\theta)  }^{2} -  {(r \sin\theta) }^{2}  )

Let us evaluate the exponents to get:

{r}^{4}  = 4({  {r}^{2} \cos^{2}\theta } -   {r}^{2}  \sin^{2}\theta)

Factor the RHS to get:

{r}^{4}  = 4{r}^{2} ({   \cos^{2}\theta } -   \sin^{2}\theta)

Divide through by r²

{r}^{2}  = 4 ({   \cos^{2}\theta } -   \sin^{2}\theta)

Apply the double angle identity

\cos^{2}\theta -\sin^{2}\theta=  \cos(2 \theta)

The polar equation then becomes:

{r}^{2}  = 4  \cos2\theta

7 0
3 years ago
For f(x) = 2x +1 and g(x) = x^2-7, find (f/g) (x)
Rashid [163]
the answer is (f/g)(x) = 2(x^2 - 7) + 1
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