Convert r=2/7sinθ−cosθ to rectangular form.

Enter your answer in slope-intercept form by filling in the blanks. Enter values so that fractions are simplified.

y=_/_x + _/_

Answer:

x = 7

Step-by-step explanation:

Answer:

x= 1

Step-by-step explanation:

Add four to both sides of the equation:

10x-4+4 = 2x+4+4

Simplify:

10x = 2x+8

Subtract 2x from both sides:

8x = 8

Cancel out terms:

x=

Simplify:

x=1

Answer:

C. y = 1/2x

Step-by-step explanation:

We can check to see which of the equations passes through (2,1) by substituting the point's x and y values into the options, then checking to see if the result is a true statement.

Let's try this with option C, [tex]y = \frac{1}{2} x[/tex]. To substitute the x and y values of (2,1) into the equation, substitute 2 for [tex]x[/tex] and 1 for [tex]y[/tex]. Then, solve:

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

1 does equal 1, so the result is a true statement. Option C is the answer.  

Answer:

r=-11

Step-by-step explanation:

Answer:

the maximum number of containers that the ship can load is 170

Step-by-step explanation:

Given the data in the question;

W ~ N( 600, 60 )

S ~ N( 4n, 0.4√n )

so

p( W > S ) = 0.90

⇒ P( W - S > 0) = 0.9 ------ let this be equation 1

now, since W and S are independent

Mean( W - S ) = Mean( W ) - Mean( S 0 = 600 - 4n

and

SD( W - S ) = √( var(W) + var(S) ) = √( 60² + 0.4²n)

hence;

W - S ~ N( 600 - 4n, √( 60² + 0.4²n) )

now, from equation one, P( W - S > 0) = 0.9

[tex]P( \frac{(W-S)-Mean(W-S)}{SD(W-S)} > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = 0.90[/tex]

[tex]P( z > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = 0.90[/tex]

from z- table

[tex]P( z > \frac{0-(600-4n)}{\sqrt{60^2 + 0.4^2n} }) = P( z >-1.282)[/tex]  

[tex]\frac{4n - 600}{\sqrt{60^2 + 0.4^2n} } = -1.282[/tex] ------------------ let this be equation 2

now, we square both sides of equation 2

[tex]\frac{(4n - 600)^2}{60^2 + 0.4^2n} } = (-1.282)^2[/tex]  

[tex]\frac{(4n - 600)(4n-600)}{3600 + 0.16n} } = 1.643524[/tex]

we cross multiply

16n² + 360000 - 4800n = 1.643524( 3600 + 0.16n )

16n² + 360000 - 4800n = 5916.6864 + 0.26296384n

16n² + 360000 - 5916.6864 - 4800n - 0.26296384n = 0

16n² + 354083.3136 - 4800.26296384n = 0    

16n² - 4800.26296384n + 354083.3136 = 0  

solving the quadratic equation, we know that;

x = -b±√( b² - 4ac ) / 2a

so we substitute

x = [-(-4800.26296384) ±√( (-4800.26296384)² - (4 × 16 × 354083.3136)] / [2×16]

x = [ 4800.26296384 ±√( 23042524.522 - 22661332.0704 ] / 32

x = [ 4800.26296384 ±√(381192.4516) ] / 32

x = [ 4800.26296384 ± 617.4078 ] / 32

Hence;

x = [ 4800.26296384 - 617.4078 ] / 32 or  [ 4800.26296384 + 617.4078 ] / 32

x = 131   or  170

Therefore, the maximum number of containers that the ship can load is 170

Answer:

y= -1/4x

Step-by-step explanation:

Answer:

sin=The sin of an acute angle is defined in the context of a right triangle.

csc= The length of the hypotenuse divided by the length of the side opposite the angle.

cos= The length of the adjacent side divided by the length of the hypotenuse.

sec 0=The ratio of the length of the hypotenuse to the length of the adjacent side is the secant of an angle in a right-angled triangle.

tan A=In any right triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A).

cotA= In a right triangle, the cotangent of an angle is the length of the adjacent side divided by the length of the opposite side.

Step-by-step explanation:

what do you need help with T~T

Answer:

B

Step-by-step explanation:

y = -9x - 1

You need a value that will make y = 0

-9x - 1 = 0             Add 1 to both sides

-9x = 1                   Divide by - 9

x = 1/-9

The answer is B

Answer:

Susie is correct  because the function is y = x²

Answer:

13

Step-by-step explanation:

a = 3

b = -2

a² + b² = 3² + (-2)²

= 9 + 4

= 13

Answer:

a) 11

b) 13

Step-by-step explanation:

a) 1 + 2(5) = 11

b) 3² + (-2)² = 9 + 4 = 13

Answer:

Step-by-step explanation:

Answer:

s=9

Step-by-step explanation:

8s=72

Divide 72 and 8

s=9

Step-by-step explanation:

=9feet

Answer:

24 pi

Step-by-step explanation:

A= n/360(pi r^2)

A= 135/360(pi)(8^2)

A=135/360(64)(pi)

A= 24 pi

Answer:

1 and 3, 2 and 4, 1 and 2, 3 and 4

5 and 7, 6 and 8, 5 and 6, 7 and 8

Step-by-step explanation:

Answer:

13- pretty sure its 122

14- 58

15- i think its 236?

Problem 13

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Explanation:

It's not mentioned, but keep in mind that 1 foot is equivalent to 12 inches. This means that 48 inches is equal to 48/12 = 4 feet. So you must be 4 feet tall, or taller, to be able to ride the roller coaster.

To convert this to centimeters, we multiply by 30.48 to get 4*30.48 = 121.92 cm, which then rounds to 122 cm

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Problem 14

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Explanation:

1 gallon = 16 cups

Note how 240/16 = 15, which means we can multiply both sides of that equation above by 15 and we end up with

15*(1 gallon) = 15*(16 cups)

15 gallons = 240 cups

The water cooler is 15 gallons.

Multiply this by 3.8, since there are about 3.8 liters per gallon, and we end up with the answer of 3.8*15 = 57 liters

This answer is approximate since the 3.8 was approximate.

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Problem 15

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Explanation:

1 meter = 100 cm

6 meters = 600 cm (multiply both sides by 6)

1 cm = 0.39 inches

600*(1 cm) = 600*(0.39 inches)

600 cm = 234 inches

This answer is approximate because the 0.39 was approximate.

Answer:

A

Step-by-step explanation:

The answer is A ,that's how the equation is.

Answer:

-10

Step-by-step explanation:

Answer:

- 10

Step-by-step explanation:

- √100

= - 10

( - 10 is a real number )

Answer:

oopssss

Step-by-step explanation:

Answer: ill take care of him

Step-by-step explanation:

Answer:

24,19

Step-by-step explanation:

24+19=43

24-19=5

Answer:

4 cm, 7 cm, 11 cm

Step-by-step explanation:

The sum of two shorter sides of a triangle is always greater than the larger side.

1 cm + 5 cm < 7 cm ( can't be the third side )

5 cm + 4 cm > 7 cm ( can be )

5 cm + 7 cm > 7 cm ( can be )

5 cm + 7 cm > 11 cm ( can be )

5 cm + 7 cm < 13 cm ( can't be )

5 cm + 7 cm < 15 cm ( can't be )

Answer:

Hi! The answer to your question is B. {[tex]{-3, -13}[/tex]}

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

1_2/3

=1/3 or 0.33

Step-by-step explanation:

Probability is not more than 1..

Answer:

it takes 3 hour

Step-by-step explanation:

ypir welcome

Answer:

The circle should appear inside the triangle.