Given that x=3sin​​θ-2 and y=3cos​​​θ+4.Show that (x+2)²+ (y-4)²=9​​​​​​

The first term, f(1) = 4, to find the second term,

which is f(2-1) = f(1) = 4, so second term, f(2) = 4+5

hence 9, to find the terd term,

which is f(3-1) = f(2) = 9, so terd term, f(3) = 9+5

hence 14, so common difference is 5.

12 term is 59.

Answer:

The answer is 4.35, rounded two decimals to hundredths place.

some text here to make the answer slightly longer for some good reasons. yep.

Answer:

d) line l and m

Step-by-step explanation:

Line l and line m are parallel because <2 = <16 by the alternate exterior theorem.

Answer:

11

Step-by-step explanation:

Answer:

La inclinación de una recta esta definida como el ángulo entre el eje x positivo y la recta.

Primero, podemos escribir genéricamente una recta como:

y = p*x + s

donde p es la pendiente de la recta, y s es la ordenada al origen.

Sabemos que para una recta que pasa por los puntos (a, b) y (c, d) podemos escribir la pendiente como:

p = (d - b)/(c - a)

Y también sabemos que si θ es el ángulo de inclinación, entonces:

p = tan(θ)

Entonces en este caso sabemos que:

p = tan(71.56505118°) = -0.828

Entonces esta recta es:

y = -0.828*x + s

y sabemos que pasa por el punto (1, 2), entonces podemos remplazar esos valores en la ecuación para encontrar el valor de s.

2 = -0.828*1 + s

s = 2 + 0.828 = 2.828

La ecuación es:

y = -0.828*x + 2.828

Problem 1

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

Explanation:

The prisms are similar so they have the same shape, but different sizes.

The linear scale factor from small to large is:

large/small = 10/4 = 2.5

Meaning that we multiply each dimension of the smaller prism by 2.5 to get the corresponding side length of the larger prism

4*2.5 = 10

This linear scale factor is then cubed to get the volume scale factor

(2.5)^3 = 15.625

Which tells us:

larger volume = 15.625*(smaller volume)

smaller volume = (larger volume)/15.625

smaller volume = (1625)/15.625

smaller volume = 104 cubic inches

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

Problem 2

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

Explanation:

We will go back to the linear scale factor of 2.5

This time, we square it to get (2.5)^2 = 6.25

This is the surface area scale factor.

larger surface area = 6.25*(smaller surface area)

larger surface area = 6.25*(104)

larger surface area = 650 square inches

Answer:

  (-27x -2)/21

Step-by-step explanation:

Perhaps you want to combine the two fractions. This is done using a common denominator.

  [tex]\dfrac{4-2x}{7}-\dfrac{3x+2}{3}=\dfrac{3(4-2x)}{7\cdot3}-\dfrac{7(3x+2)}{7\cdot3}\\\\=\dfrac{3(4-2x)-7(3x+2)}{21}=\dfrac{12-6x-21x-14}{21}=\boxed{\dfrac{-27x-2}{21}}[/tex]

__

Additional comment

If you need to simplify this further, you can apply the distributive property.

  = -9/7x -2/21

The best apporximation for the volume of this ball is 382 cubic inches.

The volume of the ball is calculated by the formula V = 4 / 3πr³. This formula is the same in the whole world.

Given

A regulation basketball has a diameter of about 9 in.

The radius of the ball is;

[tex]\rm Radius = \dfrac{Diameter}{2}\\\\Radius=\dfrac{9}{2}\\\\Radius=4.5\ inches[/tex]

The volume of the ball is;

[tex]\rm Volume =\dfrac{4}{3}\pi r^3\\\\Volume=\dfrac{4}{3} \times 3.14 \times 4.5^3\\\\Volume =\dfrac{144.53}{3}\\\\Volume = 381.51\\\\Volume = 382 \ In^3 \ apporx[/tex]

Hence, the best apporximation for the volume of this ball is 382 cubic inches.

To know more about volume click the link given below.

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Answer:

4.4

Step-by-step explanation:

The finance charge of April month of Hannah's credit card which is calculated by daily balance method is $3.30.

The finance charge is the amount of the money which borrowed, including the interest amount and other fees.

The following table shows Hannah’s transactions in the month of April.

       Date       Amount ($)   Transaction  

        4/1        322.95           Beginning balance

        4/10      19.87               Purchase    

        4/14      50.00              Payment  

        4/19      71. 21                Purchase

Average balance in the account,

[tex]A=(322.95\times10)+[(342.87)\times4]+(292.82\times5)+(364.03\times11)\\A=10069.41[/tex]

Hannah has a credit card with an APR of 11. 90% and a billing cycle of 30 days. The finance charges,

[tex]\rm FC=\dfrac{10069.41\times11.9}{365\times100}\\FC\approx3.30[/tex]

Hannah’s credit card company calculates finance charges using the daily balance method,

The finance charge of April month of Hannah's credit card which is calculated by daily balance method is $3.30.

Learn more about finance charges here;

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Answer:

 x        45

___ = ____ (solve for x) = 39.6

88      100

88 + 39.6 = £127.60, was the original price.

Answer:

5.5 hours

Step-by-step explanation:

For every 1 hour, there is a 0.8 degrees Celsius drop in temperature.

Let "t" represent the total amount of temperature dropped.

Let "h" represent the number of hours

The given scenario can be represented with the equation below:

[tex] t = 0.8h [/tex]

To find the number of hours (h), it takes for the temperature to decrease by 4.4 degrees Celsius, plug in the value of t in the equation, and solve for h.

[tex] t = 0.8h [/tex]

[tex] 4.4 = 0.8h [/tex]

Divide both sides by 0.8

[tex] 5.5 = h [/tex]

It would take 5.5 hours for the temperature to decrease by 4.4 degrees Celsius.

Answer:

x + 4y = 16

Step-by-step explanation:

have a good day

Answer:

x + 4y = 16

Step-by-step explanation:

Answer:

Where is the graph ?? It's missing.

Answer:

x-intercept: (15/7 , 0)

y-intercept: (0, 5/2)

*just plug in y=0 to find the X-intercept and x=0 for the y-intercept

Answer:

y=−1/3x+3

Step-by-step explanation:

Answer: Option 4 - 1440

Step-by-step explanation:

2 Square Sides : Take 12 times 12 and times by two for both sides.

12 x 12 = 144     144 x 2 = 288

4 rectangular sides : The multiplication of 12 times 24

12 x 24 = 288    288 x 4 = 1152

Added All Together : 288 + 1152 = 1440

Answer:

10 hours

Step-by-step explanation:

First we need to find the rate Chad is driving. The rate is equal to distance/time, so we do 168/2, which is 84 mph. Then we have to find the time, which is distance/rate, so that would be 840/84, which is 10 hours.

Answer:

10 hours

Step-by-step explanation:

If Chad drove 168 miles in 2 hours than he drove 84 miles in one hour. If he drove 840 miles than you divide 840 by 84 and you get 10 hours. To check your work you can do 84*10= 840 miles 84=representing the miles per hour and 10=representing the amount of hours he drove.

Answer:

No

Step-by-step explanation:

the value x is used twice, meaning when graphed it is going to meet to points at the same time, which makes it not a functions.

- i hope this makes sense

need more information

7m-7-6m-16=1+4m

7m - 6m - 7 - 16 = 1 + 4m

    m       -   23  = 1 + 4m

m - 23 + 23 = 1 + 23 + 4m

m = 4m + 24

m - 4m = 4m - 4m + 24

-3m = 24

m = 24: (-3)

m = - 8

hi again,

7m-7-6m-16=1+4m

7m-6m-4m=1+7+16

-3m=24

m=24/-3

m=-8

Hope this helps

Answer:

2007.04

Step-by-step explanation:

The probability of rolling a 1 or a 2 is P = 4/9, this means that around 4/9 out of the N times we perform the experiment, we will see a 1 or a 2.

We assume that each number has the same probability of rolling up in both dices.

So, in each dice, the probability of rolling a 1 or a 2 is 2 out of 6, or:

p = 2/6 = 1/3

And if we get these on one of the dice, we don't want them in the other,

The probability of not rolling a 1 or a 2 is:

q = 4/6 = 2/3

The joint probability is the product of the two individual probabilities:

P = (1/3)*(2/3)

But, we also need to consider the case where we don't get an 1 or a 2 in the first dice roll, and we do get it on the second dice, then there are 2 permutations, so we need to add a factor 2.

P = 2*(1/3)*(2/3) = 4/9

Now we want to find how often a 1 or a 2 appear against the total number of appearances.

If the total number of appearances is N, then in 4/9 of these, the number 1 or 2 will appear, this is:

N*(4/9) times.

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

Answer:

3x + 6y = 108

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

Answer:

yes

Step-by-step explanation:

because when you include the steps, you can find out where you made a mistake (in case) and correct it easily.

Answer:

B

Step-by-step explanation:

[tex] \sqrt{10} = 3.162277...[/tex]

[tex]3 < \sqrt{10} < 4[/tex]