What is the number of cycles of y=1+10sin(θ−2π/3) between 0 and 2π?

Answer:

$50.88

Step-by-step explanation:

Adjusted Price without tax = 0.8 * 60,

0.8 * 60 = 48,

With Tax = 1.06 * 48,

1.06 * 48 = 50.88

∴ New Price = 50.88

Answer:

Its $12.84

Step-by-step explanation:

20 percent of $60 is 12, and the sales tax is $.84, so you add those two together and you get $12.84! Hopes this helps and good luck!

Answer:

c

Step-by-step explanation:

Answer:

R= 22537

Step-by-step explanation:

9514 1404 393

Answer:

  1 (dollar per subscription)

Step-by-step explanation:

a) The term "rate of change" refers to "slope" or "unit rate" on a graph. In a linear equation, it is the coefficient of the variable.

On the graph, it can be found by counting the vertical units that correspond to each horizontal unit. On this graph, a horizontal increase of 1 grid square (5 subscriptions) causes an increase of 1 grid square ($5) in earnings. The rate of change is ...

  m = rise/run = $5/(5 subscriptions) = $1 per subscription

__

c) As indicated above, this will translate to the coefficient of the variable in the equation.

  E = n + 45

Answer:

1.) very large sample size

2.) 0.11326

3.) np and n(1-p) should be ≥ 10

4.) 0.010809

Step-by-step explanation:

Given :

p = 0.65 ; n = 500

2.)

P(x ≤ 300)

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Using a binomial probability calculator :

P(x ≤ 300) = 0.11326

To justify why if it can be approximated using a normal distributon :

np and n(1-p) should be ≥ 10

np = 500 * 0.65 = 325

n(1-p) = 500(1 - 0.65) = 175

4.) probability using normal distribution estimate:

Mean, m = np = 500 * 0.65 = 325

Standard deviation, s = sqrt(n*p*(1-p)) = sqrt(500*0.65*(1 - 0.65)) = sqrt(113.75) = 10.665

x ≤ 300

Correction:

x = x + 0.5 = 300 - 0.5 = 300.5

P(x ≤ 300.5)

Zscore = (x - m) / s

Zscore = (300.5 - 325) / 10.665

Zscore = - 24.5 / 10.665

Zscore = - 2.297

P(Z ≤ - 2.297) = 0.010809

X can be modeled by a binomial distribution even though the sample was selected without replacement because the sample size is too large, and the probability that 300 or fewer high school students in the sample eat breakfast before going to school is 0.010809.

Given :

1) X can be modeled by a binomial distribution even though the sample was selected without replacement because the sample size is too large.

2) The formula for the binomial distribution is given by:

[tex]\rm P (x=x)= \; ^nC_x \times p^x \times (1-p)^{n-x}[/tex]

Now, substitute the known terms in the above formula.

[tex]\rm P (x\leq 300)= \; ^{500}C_x \times (0.65)^x \times (1-0.65)^{500-x}[/tex]

Simplify the above expression.

[tex]\rm P(x \leq 300)=0.11326[/tex]

3) Now, the value of np and n(1 - p) is given below:

np = 500 [tex]\times[/tex] 0.65 = 325

n(1 - p) = 500 [tex]\times[/tex] (1 - 0.65) = 175

X can be approximated by a Normal distribution because the value of np and n(1 - p) is greater than or equal to 10.

4)

First, determine the standard deviation.

[tex]\rm \sigma = \sqrt{np(1-p)}[/tex]

[tex]\rm \sigma = \sqrt{500\times 0.65 \times (1-0.65)}[/tex]

[tex]\rm \sigma = 10.665[/tex]

Now, the z-score can be calculated by using the formula:

[tex]\rm z =\dfrac{X-\mu}{\sigma}[/tex]

[tex]\rm z =\dfrac{300.5-325}{10.665}[/tex]

z = -2.297

So, the probability that 300 or fewer high school students in the sample eat breakfast before going to school is given by:

[tex]\rm P(Z\leq -2.297) = 0.010809[/tex]

For more information, refer to the link given below:

https://brainly.com/question/795909

Answer:

3x + 11m + c

Step-by-step explanation:

Step 1) Write the Equation: 3x + 5m + 6m + c

Step 2) Add like Terms: 3x + 11m + c

Answer:

5x^3-9x^2-6x + 8

= (x+1)(5x-4)(x-2)

Step-by-step explanation:

Firstly, we need to get the other polynomial by which we can multiply the linear factor

What we have to do here is to divide the bigger polynomial by its linear factor

We can do this by long division, please check attachment for this

By kind division, the other factor is;

5x^2-14x + 8

So, we proceed to factorize this;

We have this as ;

5x^2-10x-4x+ 8

5x(x-2) -4(x-2)

= (5x-4)(x-2)

Answer:

41.79

Step-by-step explanation:

c = 14 * 100/33.5 = 1400/33.5 = 2800/67

= 41.79104

Based on these calculations, Erica would have a higher total amount of savings than Darrell at the end of one year.

Multiplication is an arithmetic operation used to find the product of two or more numbers. It is a way of adding a number to itself a certain number of times. For example, the product of 2 and 3 is 6, which is obtained by adding 2 to itself three times (2 + 2 + 2). Multiplication can be represented using the multiplication sign "×" or the dot symbol ".", and the result is called the product. The numbers being multiplied are called factors.

To compare the total amount of savings Erica and Darrell have at the end of one year, we need to calculate their savings at the end of the year based on their initial savings and monthly deposits. For Erica, the total amount of savings after one year can be calculated as follows:

Total savings for Erica = 200 + (75 x 12) = 200 + 900 = 1100 dollars

For Darrell, the total amount of savings after one year can be calculated as follows:

Total savings for Darrell = 350 + (50 x 12) = 350 + 600 = 950 dollars

Therefore, based on these calculations, Erica would have a higher total amount of savings than Darrell at the end of one year.

To know more about multiplication visit :

https://brainly.com/question/1135170

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Answer:

c = 3.6

Step-by-step explanation:

Answer:

t=-4

Step-by-step explanation:

Answer:

t = -4

Step-by-step explanation:

divide each term by 8 and simplify

Step-by-step explanation:

3.64 x 10(3) by 3.2x 10(4)

             v                     v

3.64 x 30 by     3.2 x  40

         v                     v

109.2  divide 128= 0.85

(hope this was what you were looking for)

Answer:

It is an irrational Number cuz that number cannot be in fraction form and it is not a perfect square..

Answer:

27

Step-by-step explanation:

3x3+2x9=27

Answer:

[tex]y= 1.25(2)^{x}[/tex]

Step-by-step explanation:

[tex]y= 1.25(2)^{x}[/tex]

For x=0

[tex]y= 1.25(2)^{0} = 1.25[/tex]

For x=1

[tex]y= 1.25(2)^{1} = 1.25(2)=2.5[/tex]

For x=2

[tex]y= 1.25(2)^{2} = 1.25(4)=5[/tex]

For x=3

[tex]y= 1.25(2)^{3} = 1.25(8)=10[/tex]

Answer:

22.74 liters

Step-by-step explanation:

GIven data

Felix's washing machine uses 6 gallons of water

we are told that  A gallon is approximately 3.79 liters

Hence if  a gallon is approximately 3.79 liters

then 6 gallons of water will be x liters

cross multiply we have

x= 6*3.79

x= 22.74 liters

Hence 6 gallon will be 22.74 liters

Answer:

what are the equations?

Step-by-step explanation:

Answer:

$45

Step-by-step explanation:

the teddy is $16, the stuffed animal is $14 if you add it you get $30. Then you add the chessboard which is $15 all together is $45

Using it's formula, the distance between these two points is given by:

[tex]\sqrt{97}[/tex].

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For this problem, the points are:

(2,4) and (6,-5).

Hence the distance is given by:

[tex]D = \sqrt{(6 - 2)^2+(-5 - 4)^2} = \sqrt{97}[/tex]

More can be learned about the distance between two points at https://brainly.com/question/18345417

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Answer:

10 visits

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Rewards for signing up = 80 points

Reward per visit = 2.5 points

Total points needed = 105

Let, number of visits = x

So, we can calculate number of visits by using following formula,

80 + (2.5 × X) = 105

2.5X = 105 - 80

2.5X = 25

X = 25 ÷ 2.5

X = 10 visits.

Hence, Olivia needs to make 10 visits in order to earn a free movie ticket.

Answer: 10

Step-by-step explanation:

We know the slope is Δy/Δx, so plug the numbers in, and you 10.

Answer:

Step-by-step explanation: Factor

x

x

out of

m

x

+

n

x

m

x

+

n

x

.

x

(

m

+

n

)

=

p

x

(

m

+

n

)

=

p

Divide each term by

m

+

n

m

+

n

and simplify.

x

=

p

m

+

n

Answer: First is 6a-2b then it's 2a + b then it's 2b+a then it's 3 (a x b) and finally its 4b-a

Step-by-step explanation: Yeah, hope that helped. :)

Answer:

I dont know if you meant where it intercepts the x line or y line so for the x line it intercepts at -7.5 but for y line it intercepts at 5.5

First you need to find the LCM of 8 and 41

The LCM is 328

So he will water and feed his cactus again in 328 days.

:) almost one year

Brainiest plz

Answer:

51

Step-by-step explanation:

8.5/1

and

x/6

cross multiply

51=x