What is the period, phase shift, amplitude, and vertical shift of:
Y=1/2sin(theta/4-2pi/3)+2

Answers

Answer 1

Answer:

Period = 8π

Phase shift = 2π/3

Amplitude = 1/2

Vertical shift = 2

Step-by-step explanation:

y = A sin((2π/T)θ − B) + C

where A is the amplitude,

T is the period,

B is the phase shift,

and C is the vertical shift.

y = ½ sin(¼θ − 2π/3) + 2

So A = 1/2, T = 8π, B = 2π/3, and C = 2.


Related Questions

Which measurement is equal to 6 kilograms

Answers

Answer:

6.000 grams

Step-by-step explanation:

1 kg = 1000g

=> 6 kg = 6000g

Answer:

The answer is 6,000 grams

Step-by-step explanation:

What is the value of x in the equation

1/3x - 1/2 = 18 1/2

a. 6
b. 15
c. 54
d. 57
PLEASE HURRY I NEED HELP

Answers

1/3 x - 1/2 = 18 1/2
1/3 x = 19 (add 1/2 on the right side to 18 1/2)
x = 57 (multiply the reciprocal of 1/3 and that will be 3/1 or 3 to 19 to get x by itself)
So, the answer is x = 57 (d. 57)

3x+2y=12+y 4y-7x=10 solve

Answers

Answer:

x = 2 , y = 6

Step-by-step explanation:

Solve the following system:

{3 x + 2 y = y + 12 | (equation 1)

4 y - 7 x = 10 | (equation 2)

Express the system in standard form:

{3 x + y = 12 | (equation 1)

-(7 x) + 4 y = 10 | (equation 2)

Swap equation 1 with equation 2:

{-(7 x) + 4 y = 10 | (equation 1)

3 x + y = 12 | (equation 2)

Add 3/7 × (equation 1) to equation 2:

{-(7 x) + 4 y = 10 | (equation 1)

0 x+(19 y)/7 = 114/7 | (equation 2)

Multiply equation 2 by 7/19:

{-(7 x) + 4 y = 10 | (equation 1)

0 x+y = 6 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{-(7 x)+0 y = -14 | (equation 1)

0 x+y = 6 | (equation 2)

Divide equation 1 by -7:

{x+0 y = 2 | (equation 1)

0 x+y = 6 | (equation 2)

Collect results:

Answer:{x = 2 , y = 6

last week caroline worked 8 hours each day and she worked 5 days that week she earned $440 pounds so per hour she earned £11
this week she is going to work 7 hours each day for 4 days

work out the percent reduction

Answers

Answer:

30%

Step-by-step explanation:

this week:

4 × 7 = 28 hours

earns: 28 × 11 = £308

reduction: 440 - 308 = 132

% reduction

132/440 × 100

30%

13th term of 2, 10, 18, 26

Answers

Answer:

192

Step-by-step explanation:

Add 8 started from 2 and keep going till you hit 192.

Answer:

a1 = 2      d = 8

n = 13

an = a1 + d(n-1)

a(13) = 2 + 8(13-1)

2 + 8(12)

2 + 96 = 98

Step-by-step explanation:

1. identify the terms

2. write down the arithmetic sequence formula and then replace the letters with their values.

3. do parenthesis first, then multiply by d.

4. add them together to get the 13th term

A local charity organization held an event to celebrate its work for the past five years. A local newspaper reporter who attended the event asked 75 of the attendees about their contributions. The reporter computed the mean amount of money raised by the 75 attendees to be $18,500. In an article published by the local newspaper, the reporter was quoted as stating, "The members of the charity organization were successful in raising money for their cause. Last year, they raised a mean amount of $18,500!"

Part A: What is a statistical advantage of using the median of the reported amounts, rather than the mean, as the estimate of the typical amount raised? (4 points)

Part B: The newspaper editor felt the individuals who attended the event may be different from the organization as a whole. A more detailed survey of the members was planned to determine a better estimate of the amount of money raised. The staff developed two methods based on the available funds to carry out the survey.

Method 1: Send out an e-mail to all 10,530 members of the organization and ask them to complete an online form. The staff estimates at least 2,000 members will respond.

Method 2: Select a simple random sample of members of the organization and contact the selected members directly by phone. Follow up to ensure all responses are obtained. Because method 2 requires more time than method 1, the staff estimates that only 1,000 members of the organization can be contacted using method 2.

Which of the two methods would you select for estimating the average yearly amount raised by all 10,530 members of the charity organization? Explain your reasoning by comparing the two methods and by describing the effect of each method on the estimate.

Answers

Answer:

Part A. The statistical advantage of using the median is that the median is less effected by skewed data and outliers.

Part B. I would select method two because method one has a non-response bias and the sample individuals are not selected at random.

Step-by-step explanation:

Higher values pull averages up where medians just select the middle value and aren't necessarily pulled by outliers.

Non response biases happen when the individuals chosen choose not to answer or can volunteer to answer.

Sending out emails to everyone at the org is not choosing them at random.

A statistical advantage of using the median instead of the mean as the estimate of the typical amount raised is that the median is less sensitive to extreme values or outliers.

Method 1 would be the better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization

What is a median?

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

Part A:

A statistical advantage of using the median instead of the mean as the estimate of the typical amount raised is that the median is less sensitive to extreme values or outliers.

In this case,

If there were a few attendees who contributed a very large amount of money, it would increase the mean and make it an overestimate of the typical amount raised.

However, the median would not be affected by the outliers, and it would give a better estimate of the typical amount raised by the majority of the attendees.

Part B:

Method 1 would be a better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization.

This is because it would have a larger sample size than method 2, which would make the estimate more precise and reduce the sampling error.

Additionally,

Method 1 would include a broader range of members, including those who may not have attended the event or who may have contributed in other ways besides donating money.

Method 2, on the other hand, would have a smaller sample size and would only include a random subset of the organization's members, which could lead to sampling bias if the selected members are not representative of the larger population.

Furthermore, the follow-up required by method 2 would make it more time-consuming and potentially less cost-effective than method 1.

Thus,

Method 1 would be the better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization because it would have a larger sample size, include a broader range of members, and be more cost-effective than method 2.

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PLEASE HELP ASAP I WILL GIVE 30 POINTS
during a six week period the value of a stock in dollars per share changed as follows:
Week 1= UP 3 2/8
Week 2= Up 2 1/4
Week 3= Down 3 3/4
Week 4 = Up 2 3/4
Week 5 = Down 1 1/8
Week 6= Down 5/8

Answers

Answer

Whats the question?

Step-by-step explanation:

Answer:

Umm, I don't get, what are we to do

Step-by-step explanation:

What is the solution of this equation?
-1y = -4

Answers

Answer:

y = 4

Step-by-step explanation:

-1y = -4

Divide both sides by -1 to get y by itself.

-1/-1 = -4/-1

y = 4

It's positive because there are two negatives, which mean they cancel out.


Which expressions are equivalent to
x+x+x+2?

Answers

Answer:

3x + 2

Step-by-step explanation:

x = 1x but leaving the x alone equals the exact thing.

If there are x + x + x, this means 3x since it is also

1x + 1x + 1x.

This is another expression for 3x + 2.

The anwser to this question is 3x+2

Please help me I’m about to break down

Answers

Answer:

the answer would be <RSV &<TSV

Answer:

RSV and TSV

Step-by-step explanation:

Supplementary angles are those that add to 180 degrees

RSV and TSV form a straight line so they add to 180

They are complementary angles

The area of a garden is 30 square feet. The perimeter is 26 feet. What are the measurements of each side?

Please help this question is fustrating

Answers

Answer: 3 feet by 10 feet rectangle

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

Explanation:

Assuming this garden is a rectangle, it has dimensions L and W which are the length and width respectively.

perimeter of rectangle = 2*(length+width)

P = 2*(L+W)

26 = 2(L+W) ... plug in given perimeter

26/2 = L+W .... divide both sides by 2

13 = L+W

13-W = L  .... isolate L by subtracting W from both sides

L = 13-W

------

Area of rectangle = Length*Width

A = L*W

A = (13-W)W .... replace L with 13-W

A = W(13-W)

A = 13W - W^2 ..... distribution

30 = 13W - W^2 .... plug in given area A = 30

W^2 - 13W + 30 = 0 ... get everything to one side

(W - 10)(W - 3) = 0 ...... factor

W-10 = 0 or W-3 = 0 ...... zero product property

W = 10 or W = 3

----------

If the width is W = 10, then

L = 13-W

L = 13-10

L = 3 is the length

Or if the width is W = 3, then

L = 13-W

L = 13-3

L = 10 is the length

Either way, this is a 3 ft by 10 ft rectangle

--------

Check:

Area = length*width = 10*3 = 30 square feet

perimeter = 2(length+width) = 2*(10+3) = 2*13 = 26 feet

or you could say

perimeter = L+W+L+W = 10+3+10+3 = 13+13 = 26 feet

we get the correct area and perimeter, so this confirms our answer.

PLZ HELP ME I DON'T WANNA FAIL THIS

Answers

Answer

Step-by-step explanation:

sentence 3 does not use a correct verb.

Sheryl and Jennifer were given the same number of sticker at first.After jennifer used 84 stickers ,sherly had 4 times as many stickers as jennifer. How many stickers were given to sherly at first

Answers

Answer:

112 stickers

Step-by-step explanation:

Let x and y represent the number of stickers Sheryl and Jennifer were given at first.

Sheryl and Jennifer were given the same number of sticker at first.

So;

x = y ......1

After jennifer used 84 stickers ,sherly had 4 times as many stickers as jennifer.

x = 4(y-84)

x = 4y - 336 ......2

Substituting equation 1 into 2

y = 4y - 336

Solving for y;

4y - y = 336

3y = 336

y = 336/3

y = 112

Therefore, sherly was given 112 stickers at first

“Help me get my feet back on the ground”

Answers

Answer:

Angle 2

Step-by-step explanation:

Remember the X, whatever is opposite to the given angle.

Answer:

angle 2 is the answer my dude

Step-by-step explanation:

Find the value of the variable in each pair of similar figures. Round the answers to the nearest tenth. please help!!!!​

Answers

Answer:

x = 18 units

w = 20 units

n = 6.9 units

Step-by-step explanation:

Given: Similar figures

To find: value of the variable in each pair of similar figures

Solution:

Figures are said to be similar if they have same shape and not necessarily same size.

Corresponding sides of similar figures are always proportional.

[tex]ABCD\sim JKLM\\\frac{AB}{JK}=\frac{AD}{JM}\\\frac{12}{x}=\frac{6}{9}\\x=\frac{12\times 3}{6}=18\,\,units[/tex]

[tex]\Delta NOP\sim \Delta XYZ\\\frac{XZ}{NP}=\frac{YZ}{OP}\\\frac{12}{3}=\frac{w}{5}\\w=\frac{12\times 5}{3}=20\,\,units[/tex]

[tex]\Delta GHI\sim \Delta PQR\\\frac{GI}{PR}=\frac{GH}{PQ}\\\frac{3}{n}=\frac{7}{16}\\n=\frac{3\times 16}{7}=\frac{48}{7}=6.9\,\,units[/tex]

Find the three positive geometric means between 3 and 48/625

A. 9/5, 27/25, 81/125

B. 6/5, 12/25, 24/125

C. 3/5, 3/25, 3/125

D. 1, 1/3, 1/9

Answers

Answer:

B. 6/5, 12/25, 24/125

Step-by-step explanation:

Let the geometric means to be inserted be x, y and z. The geometric series will contain 5 terms as shown:

3, x, y, z, 48/625

Using the nth term of a geometric sequence to find the missing term.

[tex]Tn = ar^{n-1}[/tex] where:

a is the first term

n is the number of terms and

r is the common ratio

From the sequence, a = 3

[tex]T5 = 3r^{5-1} \\T5 = 3r^{4}[/tex]

Since the fifth term is 48/625 then:

[tex]3r^{4}=\frac{48}{625} \\r^{4}= \frac{48}{625*3} \\r^{4} = \frac{16}{625} \\r=\sqrt[4]{\frac{16}{625} } \\r = \frac{2}{5}[/tex]

To get the 2nd, 3rd and 4th term, we will substitute the value of the first term and the common ratio in the equation given.

[tex]T2 = 3(\frac{2}{5} )^{2-1}\\ T2 = 3*2/5\\T2 = 6/5[/tex]

when n = 3;

[tex]T3 = 3(\frac{2}{5} )^{3-1}\\ T3 = 3*(\frac{2}{5} )^{2} \\T3= 3*4/25\\T3 = 12/25[/tex]

when n = 4;

[tex]T4 = 3(\frac{2}{5} )^{4-1}\\ T4 = 3*(\frac{2}{5} )^{3} \\T4= 3*8/125\\T4 = 24/125[/tex]

The three positive geometric mean are 6/5, 12/25, 24/125

Answer:

A

Step-by-step explanation:

Find the area of the following trapezoid

Answers

The formula to calculate the area of a trapezoid is as follow:

4 * (8 + 16) * 1/2

Answer:

trapezoid area :(a+b)/2 ×h

(16+ 8)/2 ×4

=48

can someone helpme please​

Answers

Answer: the first box is 1/5 since one of 5 squares are shaded.

The next box the answer is “there are 4 groups 1/5.

The next answer is 4/5

The last answer is 4/5

Step-by-step explanation:

Write and solve an inequality to calculate the swimming rate of a manatee swims for 15 miles in 3 hours

Answers

Step-by-step explanation:

D= rt

Where D is distance r is rate and t is time

15 < r3

15/3 < r

5< r

The inequality is Rate > 15 / 3. And the swimming rate of a manatee swims for 15 miles in 3 hours will be 5 miles per hour.

What is the rate?

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The swimming rate of a manatee swims for 15 miles in 3 hours is given as,

Rate > 15 / 3

Rate > 5 miles per hour

The inequality is Rate > 15 / 3. And the swimming rate of a manatee swims for 15 miles in 3 hours will be 5 miles per hour.

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Graph the equation of the line y=3x+4 and use it for your reference to find: Quadrants in which this graph is in. (Use the numbers 1−4)

Answers

Answer:

Quadrants: 1, 3, 4. (See explanation for further details)

Step-by-step explanation:

The graphic of the linear function is included below as attachment. The line covers the following quadrants: 1, 3, 4

Answer:

1, 2, 3

Step-by-step explanation:

Which is a name for the angle shown? Select all that apply

Answers

Answer:

D

Step-by-step explanation:

Well, the angle is an acute angle and <CDE is what would connect to make an acute angle. Easy.

The name for the angle shown is  ∠D and ∠CDE.

What is Coordinate system?

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

An angle is formed when two straight lines or rays meet at a common endpoint.

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Angles formed by two rays lie in the plane that contains the rays.

Angles are also formed by the intersection of two planes.

The name of the angle are ∠D and ∠CDE.

Hence, the name for the angle shown is  ∠D and ∠CDE.

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Anyone else getting the nasty storms from Tropical Storm Arthur? (I live in Virginia Beach, VA so I am :/)

Answers

Answer:

No not yet. But Sumter County is supposed to get rain all week starting today. It's starting to thunder now.

Answer:

Oh yeah...

Step-by-step explanation:

Arthur is bullying my house.......

(Brainliest?)

What is 1/2 multiplied -3/4

Answers

Answer:

the answer is -3/8

hope this helps

what is the slope of the line below? If necessary, enter your answer as a fraction in lowest terms, using the slash as the fraction bar. Do not enter your answer as a decimal number or an equation. (-2, - 3) (-4, - 9)​

Answers

Answer:

The slope is 3

Step-by-step explanation:

The slope is 3 because when you set up the equation (-2,-3) is labeled as x1 and y1 and (-4,-9) is labeled as x2 and y2. When you set up the equation you get -9--3 / -4--2, which becomes -6/ -2, which then becomes -3/-3, which is really just 3. :)

The slope of the line given is 3.

What is a slope of a line?

Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.

Given is a line passing through points (-2, -3) (-4, -9)​, we need to find its slope,

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:-

y₂-y₁ / x₂-x₁

Here, (x₁, y₁) and (x₂, y₂)  are (-2, -3) (-4, -9)​

So, the slope is = -9+3 / -4+2 = -6 / -2 = 3

Hence, the slope of the line given is 3.

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1. Find the volume of the rectangular prism.
4 ft
6 ft
8 ft

Answers

Answer:

192[tex]feet^3[/tex]

Step-by-step explanation:

The formula for the area of a rectangle is : [tex]length*width[/tex]

In order to work out the volume you would first need to work out the area. You can do this by multiplying the length of 6 by the height of 4, this gives you 24.

To workout the volume you would need to multiply the area of 24 by the width of 8, this gives you 192.

1) Multiply 6 by 4.

[tex]6*4=24[/tex]

2) Multiply 24 by 8.

[tex]24*8=192 feet^3[/tex]

Find the probability.

6) A cooler contains twelve bottles of sportsdrink: three lemon-lime flavored, fourorange flavored, and five fruit-punchflavored. You randomly grab a bottle. Then you return the bottle to the cooler,mix up the bottles, and randomly selectanother bottle. Both times you get alemon-lime drink.

7) You select two cards from a standardshuffled deck of 52 cards. Both selectedcards are diamonds. (Note that 13 of the 52cards are diamonds.)

Answers

Answer:

The Probability of getting lemon drink on both draws  is 1/16

The Probability of getting diamond on both cards is 1/17

Step-by-step explanation:

1)

No. of lemon-lime flavored bottle = 3

No. of orange flavored bottle = 4

No. of fruit punch flavored bottle = 5

Total bottles = 12

We are given that  You randomly grab a bottle. Then you return the bottle to the cooler,mix up the bottles, and randomly select another bottle. Both times you get a lemon-lime drink.

Probability of getting lemon drink on both draws with replacement =[tex]\frac{3}{12} \times \frac{3}{12} = \frac{1}{16}[/tex]

So, The Probability of getting lemon drink on both draws  is 1/16

2)

No. of diamond cards = 13

Total cards =52

Probability of getting diamond on first card = [tex]\frac{13}{52}[/tex]

Probability of getting diamond on second card =[tex]\frac{12}{51}[/tex]

Probability of getting diamond on both cards = [tex]\frac{13}{52} \times \frac{12}{51}=\frac{1}{17}[/tex]

So, The Probability of getting diamond on both cards is 1/17

Someone please help me

Answers

Answer:

hi buddy

the answer is a if we divide both with equation 4 then you can get the answer

hope it likes you.....

please mark brainlist

The answer is C u do Parentheses first

What is the answer? Plz need help

Answers

30x and 12 have a common factor of 6.   So yes, this might have been the result of distributing the 6 in

6(5x - 2)

Answer:

30x - 12 = 2(15x - 6)

30x - 12 = 3(10x - 4)

30x - 12 = 6(5x - 2)

Step-by-step explanation:

30 and 12 have these factors in common: 2, 3, 6

There are three possible answers.

30x - 12 = 2(15x - 6)

30x - 12 = 3(10x - 4)

30x - 12 = 6(5x - 2)

You are going to buy a pizza, and have 3 options. The first option is a rectangular pizza that is 8 inches by 16 inches. The second option is a circular pizza that has a diameter of 10 inches. The third option is a pizza in
the shape of a triangle, with a base of 14 inches, and a height of 10 inches.
Which pizza is the largest? (You must give the area of each pizza to
receive credit)
*

Answers

Answer:

The largest pizza is Rectangular Pizza .

Step-by-step explanation:

In order to know which pizza is the largest you have to find the area for each shape using the formulas :

Rectangular pizza,

[tex]area = length \times width[/tex]

Let length = 8 inches,

Let width = 16 inches,

[tex]area = 8 \times 16[/tex]

[tex]area = 128 \: \: {inches}^{2} [/tex]

Circular pizza,

[tex]area = \pi \times {r}^{2} [/tex]

Let r = 5 inches,

[tex]area = \pi \times {5}^{2} [/tex]

[tex]area = 25\pi[/tex]

[tex]area = 78.5 \: \: {inches}^{2} [/tex]

Triangular pizza,

[tex]area = \frac{1}{2} \times base \times height[/tex]

Let base = 14 inches,

Let height = 10 inches,

[tex]area = \frac{1}{2} \times 14 \times 10[/tex]

[tex]area = \frac{1}{2} \times 140[/tex]

[tex]area = 70 \: \: {inches}^{2} [/tex]

Please answer me<br />bis two fifths of c.<br />4a = 30<br />Work out the ratio a:b:c<br />Give your answer in its simplest form where a, b and c are integers.​

Answers

b is two fifths of c, so we make this a ratio with c = 1.

The ratio of b:c is 2/5 : 1

We also have 4a = 3c, rewrite this ratio so c is 1 by dividing both sides by 4,

so we get the ratio of a to c as 3/4 : 1

Now we get the a:b:c ratio of 3/4 : 2/5 : 1 now we can change the fractions to whole numbers, first by multiplying the 3 numbers by 4 to get get rid of the denominator of 4 in a:

3 : 8/5 : 4

Now multiply the 3 numbers by 5 to remove the denominator  of 5 in b:

15 : 8 : 20

Now we can check using the equations:

b is 2/5 of c:  20 x 2/5 = 40/5 = 8 This is true.

4a = 3c: 4(15) = 3(20) = 60 = 60, this is also true.

The ratios is 15 : 8: 20

Other Questions
The asymmetric roof truss is of the type used when a near normal angle of incidence of sunlight onto the south-facing surface ABC is desirable for solar energy purposes. The five vertical loads represent the effect of the weights of the truss and supported roofing materials. The 390-N load represents the effect of wind pressure. Determine the equivalent force-couple system at A. The couple is positive if counterclockwise, negative if clockwise. Also, compute the x-intercept of the line of action of the system resultant treated as a single force R. A community includesA. all of the living organisms in a specific place at a specific time,B. all plants, animals, minerals, and water in a specific place at a specific time,C. only the plants in a specific place at a specific time.D. only the animals in a specific place at a specific time. Enter the value of the 8 in the following number. 438.13 Compare and contrast pollution caused by irrigation and by pesticides. Is it better to invest in low risk investment or high riskinvestment? Why? Which is a result of selective breeding?a. Large seedless watermelons that consumer demand.b. Oranges that are all different sizes and colors.c. An insect that can carry ten times its body weight.d. A bird that catch prey with its beak. 2x - 3 > 15 or 3 + 7x < 17 ASAP PLS ITS DUE IN 3HRS DO ALL THE TASKS PLS FIRST PERSON WHO DOES CORRECTLY IS BRAINLIEST The reciprocal of the tangent is the ___.A. tangentB. secantC. cosecantD. cotangent Which ordered pairs show the location of the bleachers? Check all that apply. (2.0, 1 and one-half) (1.50, 2.0) (2.0, 1.50) (1.50, 2.0) (1 and one-half, 2) (1 and one-half, negative 2) plzzzzzzzzzzzzzzzzzzzzzzzzzzz Five petalsUse the dichotomous key to identify this flower.NStarflowerEach petal separated intotwo partsYNChickweedLong, thin petalsPhoto by Peter CorbettYNThis flower belongs to aCommon strawberryBowman's root 87 POINTSwhere did the fighting begin between the north and the south? 1. Antietam 2. Appomattox 3.Fort Sumter 4. Gettysburg The equation AU = Q - W describes which one of the following?O A. Second law of thermodynamicsO B. Efficiency of a heat engineO C. Work done by a gasO D. First law of thermodynamicsSUBMI On Tuesday, the bottles of iced tea filled in a plant were supposed to contain an average of 20 ounces of iced tea. Quality control inspectors sampled 50 bottles at random from the days production. These bottles contained an average of 19.6 ounces of iced tea Identify the populationIdentify the parameter Identify the sampleIdentify the statistic While in the store, your father purchases drinks for the six people in your van. Part of yourfamily wants coffee and the rest want soda.6. Coffee in the store costs $1.50 per cup and sodas are $1.20 each. The cost of the drinks before tax was $8.40.a. Write a mathematical model that represents the total number of cups of coffee andsodas.b. Write a mathematical model that represents the cost of the coffee and soda.c. Solve the system of equations using the elimination method. Which best explains why a writer might revise the second sentence to use passive voice? Help please 2. In Westward the Course of Empire Takes Its Way, a caravan (group traveling together) of settlers reaches the Pacific Ocean. Does it look like it was an easy journey? Explain your answer. Read and choose the option with the correct verb conjugation to complete the sentence.Hola! Mis padres y yo vivimos en un departamento en Salinas, Ecuador.S? La familia de mi mam ________ Salinas en agosto. visito visitas visitamos visitaQuestion 17(Multiple Choice Worth 1 points)(05.01 LC) Read the sentences carefully and choose the option that is correctly written. Los peces son gordo. Los peces son gorda. Los peces son gordos. Los peces son gordas.Question 18 (Matching Worth 4 points)(05.03 MC) Read the sentences and match each sentence with the correct profession which it refers to.MatchTermDefinitionEl seor ayuda y contesta el telfono en la oficina.A) La vendedoraPaula lava y corta el pelo de las seoras con las tijeras.B) La estilistaLa seora tiene botas en oferta hoy.C) El chefEl hermanastro de Eulalia trabaja en un restaurante italiano.D) El recepcionista Why wasnt there unanimous support for the proposed US Constitution which was presented during the constitutional convention in Philadelphia Hey,I think we should nominate Jose for student council. He has perfect attendance and straight As, and he treats people nicely. Teachers are going to ask us for nominations, and I think Jose is the perfect choice. Will you help me nominate him? Lets do it!Who is the intended audience for this letter?a frienda teachera parenta principal