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Hoochie [10]
3 years ago
6

Emily is entering a bicycle race for charity. Her mother pledges $0.30 for every 0.5 mile she

Mathematics
2 answers:
Nadya [2.5K]3 years ago
6 0
We know that her mother will donate 0.30 for every 0.5 miles she bikes. We can convert this to one mile, which is 0.60 cents per mile. We can now multiply by ten. This will gives us $6.

Another way to solve this is divide 10 by 0.5. This gives us 20, and if we multiply 20 by 0.30 we get $6.
sashaice [31]3 years ago
4 0

Answer:

The mother will donate $5

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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
Which graph represents the solution?​
marusya05 [52]

Answer:

A

Step-by-step explanation:

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v + 4 > 2 and 8v - 20 < 36

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v > 2 - 4

V > - 2

8v - 20 < 36

8v < 36 + 20

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Hence,

v > - 2 and v < 7

-2 < v < 7

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Answer:

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Step-by-step explanation:

To find change per hour, you find the slope, which is change in output (temperature) over change in input (hours)

y2-y1 / x2-x1

-12.3 - 0 / 3.5

3.514 degrees per hour

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s344n2d4d5 [400]
Hint #2 is a or b so ya, and 3 is c
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3 years ago
the graph of a quadratic function f passes through the origin and the maximum value of f is 5 when x=4 find f
Hitman42 [59]

Answer:(-5/16)x^2 +(5/2)x

Step-by-step explanation:

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