A rocket is launched in the air. The graph below shows the height of the rocket hh in meters after tt seconds.

help pls

A Rocket Is Launched In The Air. The Graph Below Shows The Height Of The Rocket Hh In Meters After Tt

Answers

Answer 1

Answer:

The answers are=

(38, 0)time in seconds(19, 1768.9)Heightin meters
Answer 2

The x-coordinate of the vertex is (38, 0) and the y-coordinate of the vertex is (19, 1768.9).

What is a parabola?

It is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

It is given that:

The graph of the parabolic path is shown in the picture.

From the graph:

The x-coordinate of the vertex is (38, 0)

The x-coordinate represents time in seconds

The y-coordinate of the vertex is (19, 1768.9)

The y-coordinate represents the height in meters

Thus, the x-coordinate of the vertex is (38, 0) and the y-coordinate of the vertex is (19, 1768.9).

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Related Questions


Find the smallest number such that
when divided by 18, the remainder
is 17, when divided by 20 the
remainder is 19 and when divided
by 24, the remainder is 23.

Answers

Answer:

I think the answer is 7

don't blame me if I'm wrong

Answer:

359

Step-by-step explanation:

the prime factors of the numbers are

18 = 2×3×3

20 = 2×2×5

24 = 2×2×2×3

the lowest common multiple is therefore

2×2×2×3×3×5 = 360

the difference between the checked divisor numbers and the expected remainder is constantly 1 :

18 - 17 = 1

20 - 19 = 1

24 - 23 = 1

so, we can deduct this constant 1 from the LCM and get the desired number :

360 - 1 = 359

verify :

359 ÷ 18 = 19 remainder 17

359 ÷ 20 = 17 remainder 19

359 ÷ 24 = 14 remainder 23

A linear function contains these points: (0,-1) & (3,8)

What is the slope and y-intercept of this function?

Answers

Answer:

slope: 3

y-intercept: (0, -1)

Find slope:

[tex]\sf slope : \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

Here given points are: (0, -1), (3, 8)

[tex]\rightarrow \sf slope : \dfrac{8-(-1)}{3-0} = \dfrac{9}{3} = 3[/tex]

When finding y-intercept, the value of x is 0. Here given y is -1 when x is 0.

y-intercept: -1  or  (0, -1)

SOLVING

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

If a linear function contains these points: (0,-1) and (3,8), what is its slope and y-int.?

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

Formula utilised, here [tex]\bf{\dfrac{y2-y1}{x2-x1}}[/tex].

Put in the values,

[tex]\bf{\dfrac{8-(-1)}{3-0}}[/tex]  | subtract on top and bottom

[tex]\bf{\dfrac{9}{3}}[/tex] | divide on top and bottom

[tex]\bf{3}[/tex]

The y-intercept is the second co-ordinate of the point (0,-1)

[tex]\bf{Which\;is\;-1}[/tex].

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

                      [tex]\bf{\begin{cases} \bf{Slope=3} \\ \bf{Y-int. -1} \end{cases}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic\not1 \theta l}}[/tex]

Solve for y.
frankly im confusion
a:4.53
b.4
c.7.47
c.8

Answers

Answer:

8

Step-by-step explanation:

Due to lines r & s being parallel to each other, we can apply the rule of alternate interior angles to solve for y in this problem.

Applying this, we'll be obtaining the equation that of:

[tex]116=15y-4[/tex]

We now simply solve for y.

[tex]120=15y\\y=8[/tex]

Therefore, y is equal to 8.

This can be checked by plugging it into the equation:

[tex]15(8)-4[/tex]

[tex]120-4[/tex]

[tex]116[/tex]

And look at that, we got 116 for our answer, exactly the same as the other angle.

Any questions feel free to ask :)

the answer to this is answer C:8.

Evaluate the expression.
-2(12 - 2 (-4))²
What is the value of the expression?
Enter your answer in the box.

Answers

Answer:

-2(10(-4))²

-2(-40)²

-2 × 1600

= -3200

Answer: = -3200

Step-by-step explanation:

took the test

A programmer plans to develop a new software system. In planning for the operating system that he will​ use, he needs to estimate the percentage of computers that use a new operating system. How many computers must be surveyed in order to be 90​% confident that his estimate is in error by no more than two percentage points

Answers

Answer:

The number of computers that must be surveyed is 1681.

Step-by-step explanation:

The formula to find the sample size is given by:-

[tex]n=p(1-p)(\frac{\frac{z_{\alpha } }{2} }{E} )^{2}[/tex]

where p = prior population proportion,

[tex]\frac{z_{\alpha }}{2}[/tex]= Two-tailed z-value for ∝

E= Margin of error.

As per the given, we have

Confidence level :

1 - ∝ = 0.90

⇒∝= 1 - 0.90= 0.10

Two -tailed z-value for ∝= 0.10 : [tex]\frac{z_{\alpha }}{2}[/tex] = 1.64

E= 2%=0.02

We assume that nothing is known about the percentage of computers with new operating systems.

Let us take p=0.5  [we take p= 0.5 if the prior estimate of proportion is unknown.]

The required sample size will be:-

[tex]n= 0.5(1-0.5)(\frac{1.64}{0.02} )^{2}[/tex]

=> [tex]0.25(82)^{2}[/tex]

=> 1681

Hence, the number of the computer must be surveyed = 1681

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What is 6289 round off to the nearest 1000 (thousand)????

Answers

Answer:

6230 will be answer I think

Mark me as Brainliest

Answer:

Well, it's to the nearest thousand, and we know that 6289 is 6 thousand 2 hundred and 89. So, you look at the number next to the thousand which is the hundreds, and as we can see that is 2. Therefore it will be 6000, as 6289 cannot be rounded to 7000 since 2 doesn't exceed 5.

So, the answer is 6000

(I don't mind being marked brainliest for this I'd just like to help someone. :)

Simplify x^2+2x+1 divided by x+1

Answers

The quotient is x+1.

What Long division method?

Long division is a method for dividing one large multi digit number into another large multi digit number.

Given:

f(x)=  x²+2x+1

g(x)= x+1

The steps to divide the polynomial is :

Divide the leading term of the dividend by the leading term of the divisor: x²/x=x.Multiply it by the divisor: x(x+1)=x²+x.Subtract the dividend from the obtained result: (x²+2x+1)−(x²+x)=x+1.Divide the leading term of the obtained remainder by the leading term of the divisor: x/x=1.Multiply it by the divisor: 1(x+1)=x+1.Subtract the remainder from the obtained result: (x+1)−(x+1)

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A condominium is taxed based on its $78,584 value. The tax rate is $3.49 for every $100 of value. If the tax is paid before March 1, 4%
of the normal tax is given as a discount. How much tax is paid if the condominium owner takes advantage of the discount?

Answers

The tax paid by the condominium owner  is $2,632.88.

What is the tax paid?

Tax is a compulsory levy that is paid to the government. The type of tax that is paid by the condominium owner is known as property tax.

Tax paid = (78,584 / 100) x $3.49 x (1 - 0.04) = $2,632.88.

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A football teams offense T is found by adding the total passing yardage P to the total rushing yardage R; that is, T=P+R. During the 2012 regular football season, the teams total offense was 4559 yards. The teams passing yardage was 3069 yards. How many yards did the team gain by rushing during the season?

Answers

The team gain 1490 yards by rushing during the season.

What is football yardage?

Football yardage is the number of yards that a team or player manages to move the ball forward toward their opponent's end zone.

According to the question,

A football teams offense T is found by adding the total passing yardage P to the total rushing yardage R,

i.e.  T=P+R

In 2012,

The teams total offense was 4559 yards.

The teams passing yardage was 3069 yards.

By using the formula

T=P+R

T = 4559 yards , P = 3069 yards

Put the values in the above equation;

4559 =  3069 - R

4559 - 3069 = R

R = 1490 yards

Therefore , 1490 yards the team gain rushing during the season.

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Gianna used two refrigerators, each set to a different temperature, to cool two cups of hot liquid.

She placed the first cup in refrigerator A. The temperature, in degrees Fahrenheit, of the liquid in this cup, after x minutes in the refrigerator, is represented by the graphed function.She placed the second cup in refrigerator B. The temperature, in degrees Fahrenheit, of the liquid in this cup is represented by an exponential function that has a y-intercept of 96 and approaches 38 as x increases.

Answers

The answers are

1). warmer

2). higher

3). end behavior

What is Refrigerator?

A refrigerator is a device which is designed to remove heat from a space that is at lower temperature than its surroundings.

When Gianna initially placed the two cups in the refrigerators, the liquid placed in refrigerator A was warmer than the liquid placed in refrigerator B.

The end behavior of the two functions implies that refrigerator A is set to a higher temperature than refrigerator B.

The graph for the question given below.

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what is the equation of the following line? be sure to scroll down first to see all the answer options

Answers

E. y = -3x

I can give you an explanation in the comments if you'd like

Find the probability that a person is male given that the person prefers hiking near lakes and streams. Let M= male and L= prefers lakes and streams.

This is a conditional probability. What word signals that it is a conditional?

Answers

Regarding conditional probabilities, the keyword is always given, as a previous event is considered to have happened.

What is Conditional Probability?

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.

The previous event having happened is represented by keyword given.

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Question 4(Multiple Choice Worth 4 points)
Which of the following is a rational number?
√1. √2. √3, √5
O√1
O √2
O√3
√√5

Answers

Answer:

[tex]\sqrt{1}[/tex]

Step-by-step explanation:

We know that a rational number cannot have roots. All of the answer choices cannot be simplified except for [tex]\sqrt{1}[/tex], which can become 1. Therefore, our answer is [tex]\sqrt{1}[/tex].

which matrix equation represents the system of equations

Answers

Should be the second option

Answer:

option B is correct

To write any equations in the form of matrix

first make a matrix of all coefficients of that equations.. here coefficients of first equation is 4 and - 2 and that of second is 0 ( as there is no value of X) and 3

then make second matrix of X and y

last of answer of the equations, here (-7 ) and 5

What's the circumference of a
circle with a radius of 7 feet?
Use 3.14 for .
C = [?] feet
Enter the number that belongs in the green
box. Do not round your answer.
Hint: C = 2πr

Answers

Answer:

43.96ft

Step-by-step explanation:

In the hint, you are given the equation [tex]C = 2\pi r[/tex].

Here, [tex]C[/tex] is the circumference, [tex]r[/tex] is the radius, and [tex]\pi[/tex] is a constant (a value that doesn't change). In this question, you are told to assume the value of [tex]\pi[/tex] is 3.14.

You are told the radius is 7, therefore, [tex]r[/tex] = 7.

Now we have these values, let's substitute them into the equation:

[tex]C = 2 * 3.14 *7[/tex]

For clarification, the stars mean multiplication.

So, the product of those values will give us our circumference, [tex]C[/tex].

In this case, you get an answer of 43.96ft.

Dominic had a coupon for 15 off his purchase at Save4You. At DiscountsRUs, there was a sale of 40% off on any purchase. Which store offered the better discount, and how much is the difference?

Answers

The better option will be at DiscountsRUs 40% off on any purchase.

What is the discount?

The amount of money which is reduced on any product below its actual selling price is called the discount.

here we have two offers from the two stores Dominic had a coupon for 15 off his purchase at Save4You. At DiscountsRUs, there was a sale of 40% off on any purchase.

For a Dominic, the discount is fixed for any purchase that is if you purchase a $50 product or a $1000 product you will be getting only a $15 discount.

Now for the second store, the discount is given as 40% so if you purchase $50 your discount will be $20. If you purchase $1000 so 40% discount will be $400.

Therefore better option will be at DiscountsRUs 40% off on any purchase.

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PLEASE HELP! SHOW WORK AND/OR EXPLANATION PLEASE.
Find ‘x’ that will make the following statements true.

1. Sin (35) = Cos (x)
2. Cos (79) = Sin (x)
3. Cos (x) = Sin (2x)
4. Sin (x + 4) = Cos (4x – 9)

Answers

Answer:

1.  x = 55°

2.  x = 11°

3.  x = 30°

4.  x = 19°

Step-by-step explanation:

Trigonometric Identities

[tex]\sin(x)=\cos(90^{\circ}-x)[/tex]

[tex]\cos(x)=\sin(90^{\circ}-x)[/tex]

Question 1

[tex]\begin{aligned}\implies \sin(35) & =\cos(90-35)\\ & = \cos(55)\end{aligned}[/tex]

[tex]\implies x=55^{\circ}[/tex]

Question 2

[tex]\begin{aligned}\implies \cos(79) & =\sin(90-79)\\ & = \sin(11)\end{aligned}[/tex]

[tex]\implies x=11^{\circ}[/tex]

Question 3

[tex]\begin{aligned}\cos(x)& =\sin(2x)\\\implies \cos(x)& =\sin(90^{\circ}-x)\\\\\implies 2x & = 90-x\\3x & = 90\\x & = 30^{\circ}\end{aligned}[/tex]

Question 4

[tex]\begin{aligned}\sin(x+4)& =\cos(4x-9)\\\implies \sin(\theta)& =\cos(90^{\circ}-\theta)\\\\\implies x+4 & = 90-(4x-9)\\x+4 & = 90-4x+9\\5x & = 95\\x & = 19^{\circ}\end{aligned}[/tex]

In pqr the measure of r=90 qp=65 rq=33 and pr=56 what ratio represents the sine of q

Answers

We can use sine ratio in given right angled triangle.

The sine of ∠Q is represented by ratio 48/73.

Given data:

∠R=90°,

QP = 73,

PR = 48,

RQ = 55

We know that;

The sine of a given angle in a right angle triangle is the ratio of perpendicular and hypotenuse seen from the viewpoint of that angle.

Since, against ∠Q lies the side PR, thus, PR is perpendicular. The side PQ is hypotenuse.

Thus, we have:

sin Q = PR/PQ

        = 48/73

Thus, the sine of ∠Q is represented by ratio,

48/73.

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need help figuring out the answers

Answers

Answer:

3, -1, 1 and 0

Step-by-step explanation:

An expression is undefined when the denominator is equal to 0 as you cannot divide by 0 in Mathematics. Therefore you are looking for the values of x which will result in either or both denominators equaling 0.

This simply means finding the solutions to the quadratics in the denominators.

First equation is [tex]x^{2} -2x-3[/tex].

One way you can solve this equation is using factorization (putting the equation into two sets of brackets which show the solutions) which puts the equation in the solvable form: (ax+b)(cx+d).

Firstly, we can deduct that a and c are both 1 as ax and cx multiply to give the x^2 term, the co-efficient of which is 1. Since only 1 and 1 can multiply to 1, a and c must both be 1.

Now, in order to work out b and d we need to find the possible factor combinations for -3 as b and d multiply to give the constant term. The only possible combination is 1x3, therefore b and d can either be -1 and 3, or -3 and 1.

To work this out we look at the x term. We see it is -2x. b and d will add to give the co-efficient.

Therefore we know that they are -3 and 1 as -3+1 = -2

We now have the equation: (x+1)(x-3)

Setting it to 0 gives us: [tex](x+1)(x-3)=0[/tex]

This tells us the solutions to this equation are x= -1 and x= 3 as substituting these values for x will result in a bracket adding to 0 so both those options can be selected as your answer.

The second equation [tex]2x^{2} +2x[/tex] can be approached with a slightly easier method. Both terms have a 2x, so we can condense it into a bracket by dividing both terms by the common factor and moving the factor outside. Factorizing this equation in this fashion gives us: [tex]2x(x+1)=0[/tex]

Now our solutions are x=0 and x=1.

Combined from both equations the correct options are: 3, -1, 1 and 0.

Hope this helped!

I opened a grocery account at my bank with $100. Every week thereafter, I withdraw $45 from the account to pay for groceries. If x is the number of weeks I've had the account, then y is the amount in the account. Find an equation of a line in the form y = mx + b that describes my grocery account balance.

Answers

Answer:

y=-45x + 100

Step-by-step explanation:

The slope-intercept form is y=mx+b where m is the slope and b is the y-intercept or in other words the initial amount (when x is 0). Since you start off with 100 dollars the y-intercept is going to be 100 since after 0 weeks (when you opened the account) you put 100 dollars in... so you should have 100 dollars. The slope is going to be -45 since you are withdrawing 45 each week so the value is going to be decreasing by 45 every week. If you put that together you get y=-45x+100

Could someone answer the rest please!
Much appreciated if you do (:

Answers

Answer:

shown below

Step-by-step explanation:

4 x 2 = 8

1 x 2 = 2

a⁸b²

(a⁵b²)(a²b⁶)

a⁷a⁵b⁶b²a²b⁸

a¹⁴b¹⁶

8 - 14 = -6

2 - 16 = -14

a^-6 b^-14

next one

25^3x-21

/

25^2x+14

1^x-35

a. d(7) 6
b. Interpret the meaning of d(7):
OA. In the first 6 seconds, the particle moved a total of 7 feet.
B. The particle was 7 feet away from the starting line 6 seconds since timing started.
OC. The particle was 6 feet away from the starting line 7 seconds since timing started.
D. In the first 7 seconds, the particle moved a total of 6 feet.
c. Solve d(t) = 2 for t. Use commas to separate your answers if there are more than one solution. t =
d. Interpret the meaning of part c's solution(s):
OA. The article was 2 feet from the starting line 9 seconds since timing started.
OB. The article was 2 feet from the starting line 1 seconds since timing started.
C. The article was 2 feet from the starting line 1 seconds since timing started, or 9 seconds since timing started.
D. The article was 2 feet from the starting line 1 seconds since timing started, and again 9 seconds since timing started.
dit on this problem.

Answers

Answer:

Step-by-step explanation:

What is the degree of the monomial?
8x²y³z4

Answers

Degree =6
Becausex=2 y=3 z=1 and numbers 4 and 8 have no power

again with this please​

Answers

Answer:

a) A dozen= 24

3 dozen= 24 x 3

= 72

b) 1 dozen= 12 bananas

A dozen cost= 24

So, 1 banana cost= 24/12

= 2

So, 6 bananas would be 2 x 6 = 12

c) 1 dozen= 12 bananas

A dozen cost= 24

1 banana cost= 24/12

= 2

d) I need to know how many people are there in your class so please mention that first :)

Mark me brainliest pleaseee

Find the area.
help pls

Answers

Answer:

30 square feet

Step-by-step explanation:

The area of a trapezoid is equal to (a+b)/2 * h
In this case, the value of a is 5, b is 10, and h is 4. You can substitute those numbers into the formula and get the answer of 30.

30 square feet I’m guessing

The number N of tree of a given species per acre is approximated by the model
N = 68(10)-0.042
above the ground.
Use the model to approximate the average diameter of the trees in a test plot when N = 21.
7,5 ≤ x ≤ 40 where x is the average diameter of the trees (in inches) 3 feet

Answers

Answer:

1 answer

The area of triangle with vertices A(0, 9), B(0, 4) and C( - 5, - 9) is

If f(x) = 3x + 2 what is f(5)?

Answers

Answer:

f(1)= 3×1 + 2 = 5

....

.....

....

f(5)= 3×5 + 2 = 17

Answer:

f(5) = 17

Step-by-step explanation:

Given: f(x) = 3x + 2

We are asked to find the value of the function when the value of x is 5

Substitute 5 as the value of x in the function:

⇒ f(x) = 3x + 2

⇒ f(5) = 3(5) + 2 [multiply]

⇒ f(5) = 15 + 2 [add]

f(5) = 17

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pls someone help me asap

Answers

Answer:

Area: 15.53 square inches

Perimeter: 15.71 inches

Step-by-step explanation:

Area:

So the area of the rectangle is pretty easy to find and is just the width * height. In this case it's 4 * 3 which is 12. Now the area of a circle is [tex]\pi r^2[/tex]. But since this is a semi circle it's half of that which is [tex]\frac{\pi r^2}{2}[/tex]. The diameter of the semicircle is 3 as it sits on top of the rectangle. The radius is half of the diameter so the radius is 1.5. Now plug that into the equation and you get [tex]\frac{(3.14) (1.5)^2}{2} = 3.5325[/tex]. Now add that to 12 and you get 15.5325. Round that number to the nearest hundredth and you get 15.53. So that's the area.

Perimeter:

Pi is the ratio of any circle's circumference to the diameter. Or in other words the circumference is equal to the diameter * 3.14. The diameter is 3 which you multiply by 3.14 to get the circumference of a circle. This will get you 9.42 but since it's a semicircle, the circumference is half of this value which is 4.71. The perimeter of the rectangle is just 2 times the width + 2 times the height. This is not completely the case in this shape since one of the sides of the rectangle is not a side of the two shapes joined together. Which is the side that is parallel to the side of length 3 inches. So the perimeter is going to be 2(4) + 3. This gives you 11 which you add to the 4.71 and get 15.71

A restaurant offers 7 appetizers and 8 main courses. In how many ways can a person order a two-course meal?
There are ways a person can order a two-course meal.

Answers

Answer:

56

Step-by-step explanation:

so 7 appetizers times 8 main courses

I do a easy trick where I multiple so

7×8=56

what is the value of n in the equation -1/2(2n +4) + 6 = -9 + 4 (2n +1)

Answers

Answer:

n=1

Step-by-step explanation:

-n+4=8n-5

9=9n

n=1

hope that helps

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PLEASE ANSWER LOLL 100 points please help me :(((((( Mr. Schultz was still working when he first qualified for medicare. At that time, he had employer group coverage that was creditable. During his initial part d eligibility period, he decided not to enroll because he was satisfied with his drug coverage. It is now a year later and mr. Schultz has lost his employer group coverage within the last two weeks. How would you advise him?. 27Martina says her dad always uses passive-aggressive communication methods. How is this MOST likely demonstrated?OA. He expresses his anger loudly and with passion.OB. He makes eye contact and uses nonverbal cues.OC. He clearly and directly states what is on his mind.OD. He uses sarcasm to express his discontent. Given: a || b, transversal kProve Which expression is equivalent to ( 4^(1/3) 4^(2/6) ) ^(3/4)( --------------------- )( 4^(5/6) )*All the numbers in the division problem are in parenthesis with the ^(3/4) on the outside.*A: (1/4)^(3/66)B: (1/4)^(-3/66)C:(1/4)^(-1/11)D: (1/4)^(1/11) What does the Supplement nutrition assistance program (SNAP) provide? Step 2 of 2 : Suppose a sample of 782 suspected criminals is drawn. Of these people, 548 were not captured. Using the data, construct the 98% confidence interval for the population proportion of people who are captured after appearing on the 10 Most Wanted list. Which statement accurately describes the movement of an object under a translation vector (-3)? The object moves 2 units down and then 3 units The object moves 2 units to the right and then 3 units down. The object moves 2 units up and then 3 units to the left. D. The object moves 2 units to the left and then 3 units up. A. C. Rearrange x = 3g + 2 to make g the subject. Identify the statements that correctly describe the ways in which latin american rebellions for independence from spain in the 1810s and 1820s were similar to the north american movement for independence from great britain in the 1770s and 1780s. Will give brainlist Which types of stanzas make up an English sonnet?three quatrains and one coupletO four quatrainsO five tercets and one quatrainOsix couplets Read the third quatrain of Shakespeares "Sonnet 130.I love to hear her speak, yet well I knowThat music hath a far more pleasing sound;I grant I never saw a goddess go;My mistress, when she walks, treads on the ground. In order to follow the structure of a Shakespearean sonnet correctly, what must follow this quatrain?a sestet an octave a fourth quatraina rhyming couplet Which one of these people is most likely to be influenced by peer pressure to engage in unsafe sexual activities? PLEASE HELP WILL MARK BRAINLESTWhich quote from The Cold Equations supports the inference: The pilot was a "good" person?Group of answer choicesShe would have to go when deceleration began; it could be no other way. When would that behow long could he let her stay?He winced involuntarily from the words that were so like an echo of his own thoughts. How long? He didn't know; he would have to ask the ship's computers."I'll have the course corrections given you," the commander said. "Ordinarily I would never permit anything like this but I understand your positionThe communicator fell silent and he and the girl waited, neither of them speaking. They would not have to wait long; the computers would give the answer within moments of the asking. Find (f + g)(x).(f + g)(x) = Which of the following is NOT a rational expression? Which of the following is composed of a population of a species plus populations of other species?A. Biotic PotentialB. Abiotic communityC. CommunityD. EcosystemReset Selection What is the solution to the following system of equations? (1 point)x 3y = 52x + y = 10 (5, 0)(0, 5)(7, 0)(0, 7) What is the equation of a sine function with an amplitude of 2 and a period of 4?y = one-half sine (2 x)y = one-half sine (4 pi x)y = 2 sine (one-half x)y = 2 sine (4 pi x)