Determine which equation is belongs to the graph of the limacon curve below.
[-5,5] by [-5,5]
a.
r = 4 + cos(theta)
c.
r = 3 + 2 cos(theta)
b.
r = 2 + 3 cos(theta)
d.
r = 2 + 2 cos(theta)


Please select the best answer from the choices provided

A
B
C
D

Answer:

60

Step-by-step explanation:

The value of t in this equation is 60. The solution is given below.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given;

(j Superscript negative 12 Baseline) Superscript negative 5 Baseline = j Superscript t

Now,

The equation will be j(20+100)=j(2t)

20+100=2t

120=2t

120/2=t

t=60

Therefore, the answer of the given equation will be 60.

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Answer:

The values of x and y are x = 25 and y = 18

Step-by-step explanation:

The measure of an arc is equal to the measure of the central angle subtended by it

In circle W

∵ W is the center of the circle

∵ m∠QWS = 90°

∵ ∠QWS is subtended by arc QS

- Use the rule above

∴ m∠QWS = m arc QS

∴ m arc QS = 90°

∵ m arc QS = m arc QR + m arc RS

∵ m arc QR = (x + 11)°

∵ m arc RS = (3y)°

- Add them and equate the answer by 90

∴ (x + 11) + (3y) = 90

- Subtract 11 from both sides

∴ x + 3y = 79 ⇒ (1)

∵ VT passes through W

∴ VT is a diameter in circle W

- Diameter divides the circle into two equal arcs the measure

   of its arc is 180° because the measure of the circle is 360°

∴ m arc VQRST is 180°

∵ m arc QRS = 90°

∵ m arc VQRST = m arc VQ + m arc QRS + m arc ST

- Substitute the measures of arc VQRST and QRS

∴ 180 = m arc VQ + 90 + m arc ST

- Subtract 90 from both sides

∴ 90 = m arc VQ + m arc ST

∵ m arc VQ = (y + 7)°

∵ m arc ST = 65°

∴ 90 = (y + 7) + 65

- Add like terms in the right hand side

∴ 90 = y + 72

- Subtract 72 from both sides

∴ 18 = y

Substitute the value of y in equation (1) to find x

∵ x + 3(18) = 79

∴ x + 54 = 79

- Subtract 54 from both sides

∴ x = 25

The values of x and y are x = 25 and y = 18

Answer: 10.9697% increase

Hope this helped

Answer:

  a_n = 3^(n -1)

Step-by-step explanation:

The n-th term of a geometric sequence with first term a1 and common ratio r is given by ...

  a_n = a1·r^(n-1)

Your sequence has first term 1 and ratio r=3, so the sequence is given by ...

  a_n = 3^(n -1)

_____

Comment on sequences and series

The sequences we commonly study are "arithmetic" and "geometric." Each of these has an explicit formula for the n-th term, based on the first term and the common difference or ratio. Similarly, each series (sum of terms of a sequence) also has a formula. That's 4 formulas to keep track of; not difficult. One of them, the formula for the n-th term of a geometric sequence, is shown above.

Answer:

22 Child tickets

Step-by-step explanation:

A quick way to solve it is to take 0.25 and multiply it by 88.

Answer:

An alternate interior angle, c, 180 degrees

Step-by-step explanation:

Answer:

-8a^2 + 9a

or

9a - 8a^2

the answer is c

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x )

Thus

K(- 2, - 4 ) → K'(- 4, - 2 )

L(6, - 4 ) → L'(- 4, 6 )

M(0, - 5 ) → M'(- 5, 0 )

Since the area of triangle ABC is difficult to determine, hence their area is difficult to compare

The triangle is a 2-dimensional figure with two sides. The formula for finding the area of a triangle is expressed as:

A = 1/2 * base * height or;

A = 1/2absin Ф

where

Ф is the angle between the height and

h is the perpendicular distance

While we can calculate the area of triangle XYZ, the area of triangle ABC is difficult to determine since we do not have the perpendicular height

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Answer:

c

Step-by-step explanation:

Jordan's monthly mortgage payment will be $805.23.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

To calculate Jordan's monthly mortgage payment, we can use the formula for a fixed-payment loan:

M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1 ]

where:

M = monthly mortgage payment

P = the principal, which is the amount borrowed

i = the monthly interest rate, which is the annual interest rate divided by 12

n = the number of monthly payments, which is the loan term in years multiplied by 12

In this case,

the principal (P) is $150,000,

the annual interest rate is 5%,

the loan term is 30 years,

and the monthly interest rate (i) can be calculated as:

i = 5% / 12 = 0.00417

n = 30 years * 12 months/year = 360 months

Substituting these values into the formula, we get:

M = 150000 [ 0.00417(1 + 0.00417)³⁶⁰] / [ (1 + 0.00417)³⁶⁰ – 1 ]

Simplifying this expression, we get:

M = $805.23

Therefore, Jordan's monthly mortgage payment will be $805.23.

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The length of 'w' is approximately 73 cm.

To find the length of 'w,' we can use the Pythagorean Theorem since 'w' is the hypotenuse of a right triangle with legs 'x' and 'y.' The Pythagorean Theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs. So, we have:

w^2 = x^2 + y^2

Substituting the given values, we get:

w^2 = 48^2 + 55^2

w^2 = 2304 + 3025

w^2 = 5329

Taking the square root of both sides, we find:

w = √5329

w ≈ 73 cm

Final answer:

After performing the calculations, the hypotenuse w is found to be 73 cm, which corresponds to option D.

Explanation:

To find the length of w, which is the hypotenuse of the right-angled triangle with sides x = 48 cm and y = 55 cm, we use the Pythagorean theorem.

This theorem states that in a right triangle, the square of the length of the hypotenuse (w) is equal to the sum of the squares of the lengths of the other two sides (x and y).

According to the theorem:

w² = x² + y²

Plugging in the given values:

w² = 482 + 552

w² = 2304 + 3025

w² = 5329

To find w, we take the square root of both sides:

w = √5329

w = 73 cm

Therefore, the length of w is 73 cm, which corresponds to option D.

Answer:

$100.647

Step-by-step explanation:

Diameter = 45ft

Radius = diameter / 2 = 45 / 2 = 22.5ft.

1 gallon of paint covers 300ft²

1 gallon cost $18.99

The total area of the mural = πr² (since it's circular and area of a circle = πr²)

Area = πr²

Area = 3.14 * (22.5)²

Area = 1589.625ft²

The total area of the mural = 1589.625ft²

1 gallon of paint covers 300ft²

X gallons of paint will cover 1589.625ft²

Making x the subject by cross multiplying

X = (1 * 1589.625) / 300

X = 5.29875 gallons.

5.3 gallons will be required to paint 1589.625ft²

But 1 gallon costs = $18.99

5.3 gallons will cost $ y

y = (5.3 * 18.99) / 1

y = $100.647

Damari will spend $100.647 to paint the mural.

Answer:

x = 13

Step-by-step explanation:

x - 3 = 10

x = 13 (Add 3 to both sides to balance out the equation)

Step-by-step explanation:

3.14

To round to the nearest hundredth, we therefore need to look at the digit immediately to its right—in other words, the 1 in the thousandths place. Since that number is less than 5, we need to round down—which gives us a rounded value of pi equal to 3.14

Answer:

1 do the division by a draw of their names into 2 teams

2 there might be one group with a higher age and thus a lower chance of being cured and you should know all variables and have control over the project

Step-by-step explanation:

Answer:

1. There are multiple methods to choosing randomly from a selection. One instance could be choosing names from a hat.

2. Dividing the groups randomly allows for an equal and fair distribution of people for the control and variable groups. The 50 people receiving the drug are the variable group, while the other 50 receiving the placebo are the control group.

Step-by-step explanation:

Random selection is used in testing in order to assure the lack of bias from researchers. In real trials, random selection would likely be done through the company's own software, or an Excel spreadsheet.

Random selection is also used in order to remove lurking variables. An example of a lurking variable could be shown as follows:

A researcher is studying a connection between heart disease and cholesterol intake. Aspects unrelated to the study could still have an effect on the quality of the results, like whether people in the groups smoked or was very stressed. Random distribution assists in removing any lurking variables - and if it can't fully remove them, it will at least distribute them fairly across the control and variable groups.

The answer is D

a = 145°, b = 62°  

All of the degrees in a trapezoid should ALWAYS add up to 360°

Option D is the only option that give degrees that, if added to 118° and 35°, give 360°

Answer:

Use the one line segment as flower stem and use the 8 rays as petals.

Answer:

64.62 degrees

Step-by-step explanation:

Cosine adjacent/hypotenuse (sides)

CosB = (3/7)

B = [tex]Cos^{-1}[/tex](3/7)

B = 64.62

Answer:

64.62

Step-by-step explanation:

AC²= AB²-BC²

[tex]AC = \sqrt{ {(7)}^{2} - ({3)}^{2} } [/tex]

[tex] = \sqrt{49 - 9} = \sqrt{40} = 2 \sqrt{10} [/tex]

[tex] \tan(B) = \frac{AC }{ BC} [/tex]

[tex] B = { \tan}^{ - 1} \frac{2 \sqrt{10} }{3} [/tex]

[tex] = 64.62[/tex]

Answer:

[tex]7x-8=3x+40\\7x-3x=40+8\\4x=48\\x=12[/tex]

Answer:

Step-by-step explanation:

7x-8=3x+40

7x-3x=40+8

4x=48

x=48/4

x=12

Answer: a.5

Step-by-step explanation: You cross multiply and get 2x=5x-15. You then simplify this, getting -3x=-15. So the answer is 5.

Answer:

the answer is 11 (i think)

Step-by-step explanation:

Answer:

A couple of questions first:

Are we going to divide the candy box equally between those 2,3 or 7 person at one event- (at the same time )?

Are there 12 persons to take into consideration and that each gets the same number of candy pieces?

Are the 3 persons (and the other 2 as well) -different individuals from those who are the 7 referred to . If not then we have to consider 2 more persons.

So does the equal division of candy pieces have to be made between a minimum of 7, 10 or 12 individuals (2+3+7)?

The lowest common denominator is going to be 42. ( 2 x 3 x 7) Therefore seven persons would each get 6 pieces.)

But if the 2 and 3 people are diffèrent persons than the 7 , they will get an equal share ie. 6 pieces each, as well!

2 x 6 = 12

3 x 6 = 18

7 x 6 = 42

So, the box would have to contain at least 72 pieces of candy/ /chocolates or 6 dozens. And every one of the 12 would be happy with his 6 chocolates.

Step-by-step explanation:

y = -0.6x – 0.8

√34 = 5.8309518948453

Answer:

-3/5

m= y2-y1/x2-x1

m= -2-1/ 2+3

m= -3/5

Answer:

I believe the answer is 4.71 ft.

Step-by-step explanation:

Find the perimeter of the whole circle (P=pi*diameter)

Then divide by 2.

Hope this helped!!  :)

Answer:

x^2 + y^2 - 6x  - 10y + 30 = 0.

Step-by-step explanation:

In factor form the general equation is:

(x - h)^2 + (y - k)^2 = r^2 where  (h, k) is the centre and r = the radius.

So here we have:

(x - 3)^2 + (y - 5)^2 = 4.

Converting to Standard Form:

= x^2 - 6x + 9 + y^2 - 10y + 25 = 4

x^2 + y^2 - 6x  - 10y + 9 + 25 - 4 = 0

x^2 + y^2 - 6x  - 10y + 30 = 0.

Answer:

Owen has enough to make 3 1/2 of pancake mix.

Step-by-step explanation:

Since the ratio is 1/8 cup of oil per cup of mix and Owen has 1/2 a cup of mix, he has enough to cover the 3 cups of mix since that would be 3/8 cups of oil. He has enough to cover 1/2 a cup as well because that'd be 1/16 cup of oil.

Answer:

Owen has enough to make 3 1/2 of pancake mix.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

On the top there are 4 x and 1 one.

On the left, there are 2 x and 3 one.

You put those together and you get (4x+1)(2x+3), which is C.

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