if you help I will mark brainliest! Thank you

Answer:

The equation in the polar form is;

[tex]r = \dfrac{6}{4 + 3 \cdot sin(\theta)}[/tex]

Step-by-step explanation:

 e = 3/4  > 1, we have an hyperbola    

The polar equation of a conic is of the form;

For vertical directrix

[tex]r = \dfrac{k \cdot e}{1\pm e \cdot cos (\theta)}[/tex]

For horizontal directrix

[tex]r = \dfrac{k \cdot e}{1\pm e \cdot sin(\theta)}[/tex]

Where;

k = Distance from the focus to the directrix = 2

We have;

[tex]r = \dfrac{2 \cdot \dfrac{3}{4} }{1 + \dfrac{3}{4} \cdot sin(\theta)}[/tex]

[tex]r = \dfrac{\dfrac{3}{2} }{1 + \dfrac{3}{4} \cdot sin(\theta)}[/tex]

Which gives the equation in the polar form as follows;

[tex]r = \dfrac{6}{4 + 3 \cdot sin(\theta)}[/tex].

Work Shown:

Let's say this school has 100 people total. We know that 30 of the people have a cat since 30/100 is the fractional portion of cat owners. Similarly, 18 have both a cat and a dog.

The probability of selecting someone who has both pets, given we know they are a cat owner, is 18/30 = 3/5

To reduce the fraction, divide both parts by the GCF 6.

Note: we don't use 45/100 because we know that whoever selected wasn't solely a dog owner.

Answer:

at the rate of 100000.

u t cute

Answer: 2.

Step-by-step explanation:

Number of samples = 121

Average speed (sample mean) = 65mph

Population standard deviation = 22 mph

The standard error of the mean is:

Standard error of the mean(S.Em)

Standard error of the mean is the proportion of the population standard deviation and the square root of the sample size.

S.Em = standard deviation / √same size

S.Em = 22 / √121

S.Em = 22 / 11

S.Em = 2

Hi there! I know I'm a little late but, hopefully this helps!

-------------------------------------------------------------------------------------------------------------

"6 less than the product of 4 and a number" means:

4 × n - 6

Answer:

Please look at the picture attached to see the long division.

a. 32 remainder 3

b. 75 remainder 7

Step-by-step explanation:

Answer:

Hey! The answer to your question will be below.

Step-by-step explanation:

Part A would be 32 R 3

And Part B would be 75 R 7

If you want to see how I got this by long division, below I attached a picture which shows how you would do the long division!

Hope this helps! :)

⭐️Have a wonderful day!⭐️

Answer:

see explanation

Step-by-step explanation:

(1)

3(x - 5)² = 48 ( divide both sides by 3 )

(x - 5)² = 16 ( take the square root of both sides )

x - 5 = ± [tex]\sqrt{16}[/tex] = ± 4 ( add 5 to both sides )

x = 5 ± 4

Thus

x = 5 - 4 = 1

x = 5 + 4 = 9

Solutions are x = 1, x = 9

(2)

2x² - 56 = 42 ( add 56 to both sides )

2x² = 98 ( divide both sides by 2 )

x² = 49 ( take the square root of both sides )

x = ± [tex]\sqrt{49}[/tex] = ± 7

Solutions are x = - 7, x = 7

Answer:

x ≈ 3.4 cm

Step-by-step explanation:

Using the sine ratio in the right triangle

sin57° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] ( multiply both sides by 4 )

4 × sin57° = x , thus

x ≈ 3.4 cm ( to 1 dec. place )

Answer:

48 cubes

Step-by-step explanation:

A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2 units . how many 1/2 unit cubes does it take to fill the prism

Solution

Volume of a cube=b^3

Where,

b=side length of a cube

b=1/2 units

Volume of a cube=b^3

=(1/2)^3

=1/8 cubic units

Volume of the rectangular prism=6 cubic units

To find out the number of cubes needed to fill the prism, divide the volume of the rectangular prism by the volume of one cube

Number of cubes needed= Volume of the rectangular prism ÷ volume of a cube

=6 ÷ 1/8

=6 × 8/1

=48 cubes

Answer:

His gain percent is 20%

Step-by-step explanation:

In this question, we want to find the percentage gain of the business.

We need the following parameters;

The cost price which is the sum of the amount she bought the goods + the amount spent on transport

Using the values we have in the question;

The cost price will be;

13,600 + 400 = Rs 14,000

The selling price = Rs 16,800

Mathematically the percentage gain will be;

% gain = (selling price- cost price)/selling price * 100%

% gain = (16,800-14,000)/14,000 * 100/1

% gain = 2800/14,000 * 100/1 = 1/5 * 100/1 = 20%

Answer:

They both rented the bikes for 4 hours and paid $ 24.

Answer:$24

Step-by-step explanation:

Answer:

B. y= -x^2 + 50x - 300

Step-by-step explanation:

Options given

A. y^2=4x^2 - 100

B. y= -x^2 + 50x - 300

C. x= -y^2 - 400

D. x^2= -6y^2 + 200

We are to find profits (y) function in thousands of dollars if the company sells x items.

We will use elimination method to eliminate the wrong options above in order to find the correct answer

Option A. y^2= 4x^2 - 100 is used to find the square of the profit function

Option B. y= -x^2 + 50x - 300 is used to calculate profit (y) function

Option C. x= -y^2 - 400 is for the calculation of the items x sold

Option D. x^2= -6y^2 + 200 is to find items x sold squared.

Since, we are required to find the profit (y) function, option A, C and D will be eliminated.

We are left with option B which is the correct answer to the question.

The weekly profits (y) function in thousands of dollars when the company sells x items is

B. y= -x^2 + 50x - 300

Answer:

B.

Step-by-step explanation:

I just took the quiz on edge

Hi there! :)

Answer:

B. 0 solutions.

Step-by-step explanation:

Given the equation 7(x + 2) = 7x - 10

Simplify:

7(x + 2) = 7x - 10

Distribute the 7 with the terms inside of the parenthesis:

7x + 14 = 7x - 10

Subtract "7x" and 14 from both sides:

7x - 7x = -10 - 14

0 ≠ - 24. The equation has no solutions.

Answer:

[tex]\boxed{\sf B. \ 0}[/tex]

Step-by-step explanation:

[tex]\sf 7(x + 2) = 7x-10[/tex]

Expand brackets.

[tex]\sf 7x+14 = 7x-10[/tex]

Subtract 7x and 14 from both sides.

[tex]\sf 7x+14 -7x-14= 7x-10-7x-14[/tex]

[tex]\sf 0=-24[/tex]

There are 0 solutions.

Hey there! :)

Answer:

Third choice: 13π/15 in.

Step-by-step explanation:

Begin by finding the circumference of the entire circle. Use the formula

C = 2rπ to solve:

C = 2(3)π

C = 6π.

Next, we can set up a proportion to find the arc length of AQB:

[tex]\frac{6\pi }{360}= \frac{x}{52}[/tex]

Cross multiply:

52 · 6π = 360 · x

312π = 360x

Divide both sides by 360:

312π/360 = 360x/360

x = 13π/15 in.

Answer:

The answer is 77n/15 inches :)

Step-by-step explanation:

Answer:

80 in²

Step-by-step explanation:

8/10 = x/100

x = 80

Answer:

Step-by-step explanation:

Since the sequence is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

d = 6

a = 2

n = 12

So the 12th term of the sequence is

A(12) = 2 + (12-1)6

= 2 + 11(6)

= 2 + 66

Hope this helps you

Answer: A = (1m/3)^2 or A= (1/3)^2 m

Or A= (1/3)(1/3)

Step-by-step explanation:

No choices given, but it will look like one these answers.

The area of a square that has a side length of 1/3 meter is 1/9 square meter.

I hope this helps you.

Answer:

a= (1/3)(1/3)

Step-by-step explanation:

Answer:

The constant of proportionality (k) equals the total price (y) divided by the number of cans (x).

Step-by-step explanation:

might help

Answer:

Step 1-Construct the perpendicular bisector of one side of the triangle.

Step 2-Construct the angle bisector of another side of the triangle.

Explanation:

A circumscribed circle is the circle that passes through all three vertices of the triangle. The center of the circumscribed circle is the circumcenter of the triangle, the point where the perpendicular bisectors of the sides meet

Answer: B. He loses 1/5 of his points in the next crash

Plug in x = 0 to get y = 100(4/5)^0 = 100. He starts with 100 points

After x = 1 crash happens, he has y = 100(4/5)^1 = 80 points left. He lost 20/100 = 1/5 of his points after one crash.

Answer:

DE = 4.24

Step-by-step explanation:

The diagram is not shown; However, the question can still be solved without the diagram.

Having said that,.

Given that

DF = EF = 3

This implies that DE is the hypothenus and will be solved using Pythagoras theorem.

DE² = EF² + DF²

Substitute 3 for EF and DF

DE² = 3² + 3²

DE² = 9 + 9

DE² = 18

Take Square Root of both sides

DE = √18

DE = 4.242640687119285

DE = 4.24 (Approximated)

Answer:

[tex]\boxed{\sf \ \ 28 \ \ }[/tex]

Step-by-step explanation:

Hello,

Please find attached the graph

AB = 6-2 = 4

DA = 7-0 = 7

So the area of the rectangle is AB * DA = 4 * 7 = 28

Hope this helps

Answer:

It's -3

Step-by-step explanation:

I got it right on Edge 2020

Answer:

(x + 3)(x - 5)

Step-by-step explanation:

Well to factor  x^2-2x-15,

we need to find 2 numbers that multiply to get -15 and add to get -2.

3*-5 = -15

3x + -5x = -2x

x*x = x^2

Factored (x + 3)(x - 5)

Hope this helps :)

Answer:

(x - 5)(x + 3)

Step-by-step explanation:

Step 1- Find 2 number that multiplies to be -15, but also add to be -2

This would be -5 and 3

-5 * 3 = -15

-5 + 3 = -2

Step 2- write the equation

The equation can be written 2 different ways

1st way- (x - 5)(x + 3)

2nd way- (x + 3)(x - 5)  

Answer:

696.6 in³

Step-by-step explanation:

The formula for the volume of a sphere is 4/3πr³

The diameter of 11 in. is given. Therefore, the radius is 5.5 (11/2 = 5.5).

1. Set up the equation

4/3(3.14)(5.5³)

2. Solve

= 696.6 in³

Answer:

[tex]\boxed{Volume = 696.9 \ in.^3}[/tex]

Step-by-step explanation:

Diameter = 11 inches

Radius = 5.5 inches

Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where r = 5.5 inches

Volume = [tex]\frac{4}{3} (3.14)(5.5)^3[/tex]

Volume = [tex]\frac{4}{3} (3.14)(166.375)[/tex]

Volume = [tex]\frac{2090.7}{3}[/tex]

Volume = 696.9 in.³

A function is a relation between sets defined by a formation law. Examples:

[tex]F(x)=0[/tex]

[tex]F(x) =x[/tex]

[tex]F(x) = ax+b[/tex]