Convert x^2+ (y + 8)^2= 64 to a polar equation that
expresses r in terms of theta.

Answer:

a) y=4x-12

b) 4x-y=12

Step-by-step explanation:

1) Solve for slope: y2-y1/x2-x1: (8-0)/(5-3)=4

2) plug into y=mx+b and solve for b, y=4x+b: 0=4(3)+b, b=-12

3) rearrange into ax+by=c form

PN = PM

6x + 1 = 10x - 17

Add both sides 17

6x + 1 + 17 = 10x - 17 + 17

6x + 18 = 10x

Subtract both sides 6x

6x - 6x + 18 = 10x - 6x

18 = 4x

Divide both sides by 4

18 ÷ 4 = 4x ÷ 4

9/2 = x

x = 9/2

___________________________

QN = 2x + 5

QN = 2 × ( 9/2 ) + 5

QN = 9 + 5

QN = 14

Answer:

76 ft of fence is required.

Step-by-step explanation:

21 ft + 17 ft + 21 ft + 17 ft = 76 ft

Answer:

15 men * 12 days = 180 man-days

180 man-days / 9 men = 20 days

From a project management stand point man-days doesn’t really equate to much so while you can evaluate schedule, you would typically desire to see more information than this.

Step-by-step explanation:

Answer:

They're 3 terms

Step-by-step explanation:

Im confused but the factor part because you can argue they're all factors of something. 81,18,4

Answer:Sorry i have no time to read it all bro

Step-by-step explanation:

Answer:

The hardcover without a dust jacket.

Step-by-step Explanation

0.2 is 20%, so if you add that to the 64% you can see what the other percentage of books are. 64%+ 20% = 84. So if you subtract 84 from 100 that equals 16, so the other book percentage is 16%, which makes the hardcovers without a dust jacket the least number of books Patrick has.

Answer:

The first image is an Isosceles Triangle and Acute

Step-by-step explanation:

obtuse triangle.

obtuse triangle

Answer:

The solution is 45.

Step-by-step explanation:

9+4(9)

9+36

45

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{ -3^2+4(-3)(-3)}[/tex]

[tex]\mathsf{-3^2}\\\mathsf{= -1\times3^2}\\\mathsf{3^2=3\times3=\bf 9}\\\mathsf{-1\times9}\\\mathsf{= \bf -9}[/tex]

[tex]\mathsf{-9 +(4)(-3)(-3)}[/tex]

[tex]\mathsf{4(-3)=\bf -12}[/tex]

[tex]\mathsf{= -9 + (-12)(-3)}[/tex]

[tex]\mathsf{(-12)(-3)=\bf 36}[/tex]

[tex]\mathsf{-9+36=\bf 27}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 27}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Model B

Step-by-step explanation:

First, solve what each model means:

Model A:

6 boxes, 2 shaded

2/6=1/3

1/3 is approximately 33.35

Model B:

8 boxes, 3 shaded

3/8 is 37.5%

this is the answer, but we can go ahead and check the other boxes

Model C:

5 boxes, 2 shaded

2/5 is 40%

Model D:

7 boxes, 3 shaded

3/7 is approximately 42.9%

Lmk if you have more questions!

Answer: y= -4cos (pi/4x)-3

Step-by-step explanation:

The functions graph that has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed is; y = -4cos(¹/₄πx) - 3

The general equation of this is;

y = A cos bx

We are told that the period of the graph is 8

We know that 2π/b = period

Thus;

2π/b = 8

b = ¹/₄π

We are told that the maximum height is 1 if at least one full period is graphed. Thus, amplitude = 4

Thus the required equation is y = -4cos(¹/₄πx) - 3

Read more about period of graph at; https://brainly.com/question/10700288

Answer:

C) 27.5

Step-by-step explanation:

C) 27.5

Answer:

Substitute y=x-1 for y in the first equation to get -4x+3(x-1)=-2

-4x+3x-3=-2    

-x-3=-2

-x=1

x=-1

Step-by-step explanation:

Answer:

x = -1

y = -2

Step-by-step explanation:

If you look at the second equation, y is already isolated for us:

y = x - 1

so all we need to do is plug in the value for y into the first equation:

-4x + 3(x - 1) = -2

Next all we do is algebra:

[distribute] -4x + 3x - 3 = -2

[condense] -1x - 3 = -2

[add] -1x = 1

[divide] x = -1

Now that we have the value of x, we can use it to find y by plugging it in to either equation.

y = x - 1

[plug in] y = -1 - 1

[condense] y = -2

Answers: x = -1, y = -2

Answer:

140.608

Step-by-step explanation:

So with sine cosine and tangent, try remembering the following:

Sin : Opposite / Hypotenuse

Cos: Adjacent / Hypotenuse

Tan: Opposite / Adjacent

Or just remember "Soh-cah-toa".

Anyways, with this, its asking for the sine ratio of angle Z. So we need the opposite side length and the hypotenuse side length

For the opposite side length, look to see where the angle is "opening" up towards, like a door that is opening. With this, Angle Z is opening up towards the Side XY, which has a length of 21.

To find the hypotenuse, it is always the largest side length of a right triangle. It is also where the right angle opens up it's "door" up to. This would be Side XZ, which has a length of 29.

With both of these, back to the ratio formula:

Sin : Opposite / Hypotenuse

To finish the question, simply plug in the values that were found above.

This will give you:

Sin Z : 21 / 29

This will be Choice A.

Answer:

Unit 1=  $12.4 per gallon

Unit 2= $10.375 per gallon

Step-by-step explanation:

Given

[tex]Quantity\ 1= 5\ gallons[/tex]

[tex]Price = \$62.00[/tex]

[tex]Quantity\ 2= 8\ gallons[/tex]

[tex]Price =\$83.00[/tex]

Required

The unit price

The unit price is calculated as:

[tex]Unit = \frac{Price}{Quantity}[/tex]

So, we have:

[tex]Unit\ 1= \frac{Price \ 1}{Quantity\ 1}[/tex]

[tex]Unit\ 1= \frac{\$62.00}{5\ gallons}[/tex]

Unit 1=  $12.4 per gallon

[tex]Unit\ 2= \frac{Price \ 2}{Quantity\ 2}[/tex]

[tex]Unit\ 2= \frac{\$83.00}{8}[/tex]

Unit 2= $10.375 per gallon

Answer:

83%

Step-by-step explanation:

8/300 = 16/600

86 + 16 = 102

that leaves 498 that are not yellow or orange

so, 498/600 = 0.83 or 83%

Answer:

y=15x+10

Step-by-step explanation:

This equation is in slope-intercept form (y=mx+b) which signifies a linear function. Also, linear functions include x to the first degree and no larger. Anything larger than that would be a polynomial.

It is not x=-5 because that would be a straight vertical line.

It is not the second or third equations because x is being raised to the 4th and 2nd powers resulting in polynomial functions.

Answer:

A is the correct graph of the parent function y=x^2

Step-by-step explanation:

While D is the graph of y=x^2+3, it is asking for the parent function. The parent function would be y=x^2 where no transformations have occurred, making A the correct graph

Answer:

I cant see anything. . . i dont know if you posted a picture but i didnt get it. . . btw IF SOMEONE SAYS THE EXPLANATION IS IN THIS LINK DO NOT CLICK IT!!!! IT IS A VIRUS. . . I TESTED IT ON MY TEST PC AND IT GAVE ME A VIRUS!!! AGAIN IF ANYBODY GIVES YOU A LINK DO NOT PRESS IT. that being said please tell me the question and i will give you the answer :)

Step-by-step explanation:

Answer:

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

Step-by-step explanation:

Test if the proportion of times that luggage is returned within 24 hours is less than 0. 88

At the null hypothesis, we test if the proportion is of 0.88, that is:

[tex]H_0: p = 0.88[/tex]

At the alternate hypothesis, we test if this proportion is less than 0.88, that is:

[tex]H_a: p < 0.88[/tex]

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.88 is tested at the null hypothesis:

This means that [tex]\mu = 0.88, \sigma = \sqrt{0.88*0.12}[/tex]

A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day.

This means that [tex]n = 160, X = \frac{138}{160} = 0.8625[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.8625 - 0.88}{\frac{\sqrt{0.88*0.12}}{\sqrt{160}}}[/tex]

[tex]z = -0.68[/tex]

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.8625, which is the p-value of z = -0.68.

Looking at the z-table, the p-value of z = -0.68 is of 0.2483.

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

Answer:

[tex]p= \frac{22}{27} =0.814 = 81.4%[/tex]

Step-by-step explanation:

========================================================

Explanation:

5 play basketball, 2 play both, which means 5-2 = 3 play basketball only. So  A = 3.

12 play baseball, 2 play both, which means 12-2 = 10 play baseball only. So we have B = 10.

We have A+B+C = 3+10+2 = 15 people who play one sport, or the other, or both. This is out of 27 total. So that's what leads us to the answer 15/27.

Answer:

See attachment for cube

Step-by-step explanation:

Given

[tex]Length = 6cm[/tex]

[tex]Width = 3cm[/tex]

[tex]Height = 2cm[/tex]

Required

The net of the cuboid

A cuboid has 6 faces.

The dimension of these faces are:

Length and Width; Length and Height;

Length and Width; Length and Height;

Width and Height; Width and Height;

This means that the faces will have the following dimensions:

6cm by 3cm; 6cm by 2cm

6cm by 3cm; 6cm by 2cm

3cm by 2cm; 3cm by 2 cm

Taking into account the above measurements and dimensions, you draw 6 faces, then join similar sides lengths.

See attachment for net of the cuboid

Answers:

==========================================================

Explanation:

The money is divided in the ratio 10:7:5

This means that

for some positive real number x.

Since Shaiyara gets $20 more than Zahin, we can say,

S = Z+20

Let's plug in S = 7x and Z = 5x and solve for x

S = Z+20

7x = 5x+20

7x-5x = 20

2x = 20

x = 20/2

x = 10

Therefore,

The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.

The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.

Answer:

$3

Step-by-step explanation:

the cost of 5 DVDs and a $15

you didn't ask anything

Answer:

$3 because 15÷3= 5 so it is 3

Answer:

D, 1.50(18)

Step-by-step explanation:

just guessing lol

Step-by-step explanation:

7×1/4 = 1.75

1.75 ÷ 2 = 0.875 pans each

[tex] \huge \mathcal{ Answer࿐}[/tex]

[tex] \boxed{ \mathrm{ \% \: error = \dfrac{error}{assumed \: value} \times 100}}[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]