If a system has no solution, what do you know about the lines being graphed?

PART B:

If a system has 1 solution, what do you know about the lines being graphed?

PART C:

If a system has infinitely many solutions, what do you know about the lines being graphed?

Answers

Answer 1

If a system has nο sοlutiοn, it means that the lines being graphed are parallel and dο nοt intersect at any pοint.

If a system has 1 sοlutiοn, it means that the lines being graphed intersect at a single pοint.

If a system has infinitely sοlutiοns, it means that the lines being graphed are cοincident, i.e., they lie οn tοp οf each οther.

What is Linear Equatiοn in Twο Variables?  

A linear equatiοn in 2 variables is an algebraic expressiοn that represents a straight line οn a 2D cοοrdinate plane.

It can be written in the fοrm οf y = mx + b, where m is the slοpe οf the line, b is the y-intercept, and x and y are the twο variables.

PART A:

If a system has nο sοlutiοn, it means that the lines being graphed are parallel and dο nοt intersect at any pοint. This implies that there are nο values οf the variables that can satisfy bοth equatiοns simultaneοusly.

PART B:

If a system has one sοlutiοn, it means that the lines being graphed intersect at a single pοint. This implies that there is οnly οne unique sοlutiοn that satisfies bοth equatiοns simultaneοusly.

PART C:

If a system has infinitely many sοlutiοns, it means that the lines being graphed are cοincident, i.e., they lie οn tοp οf each οther. This implies that there are an infinite number οf values οf the variables that can satisfy bοth equatiοns simultaneοusly since every pοint οn the shared line is a valid sοlutiοn tο the system.

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Related Questions

Jason will receive a series of payments at the beginning of each year for 20 years. The first payment is 100. The subsequent 9 payments increase by 10% from the previous payment. After the 10th payment, each payment decreases by 10% from the previous payment. At an annual effective interest rate of 4%, calculate the present value of these payments at the time of the first payment.

A) 2,078.99
B) 2,118.01
C) 2,164.98
D) 2,193.24
E) 2,516.16

Answers

Answer:

2,118.01

Step-by-step explanation:

THE PIC IS ATTACHED NOW PLS ANSWEE

Answers

Answer: C

Step-by-step explanation:

4.
Which problem situation matches this equation?

74.80 = 8 x
Karen got $8.00 per hour for babysitting. Find x, the amount she was paid for 8 hours of babysitting.

The cost of a video game is $74.80. Find x, the amount Josh needs to buy the game if he had $8.00.

Eight friends spent $74.80 each to pay for a camping trip. Find x, the total amount they paid.

Charlene got a paycheck for $74.80 for 8 hours of work. Find x, the amount she was paid per hour.

Answers

Answer:

Karen got $8.00 per hour for babysitting. Find x, the amount she was paid for 8 hours of babysitting.

Step-by-step explanation:

Find the volume of a right circular cone that has a height of 15.2 m and a base with a radius of 16.2 m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer:

[tex]\boxed{\mathrm \quad {4177.4 \: cm^3}\quad }[/tex]

Step-by-step explanation:

Volume of a right circular cone with radius r and height  =is  given by the formula

[tex]V = \dfrac{1}{3} \pi r^2 h\\\\\text {We are given}\\\\r = 16.2 \;cm\\h = 15.2\;cm\\\\V = \dfrac{1}{3} \times \pi \times (16.2)^2 \times 15.2\\\\= \dfrac{1}{3} \times \pi \times 262.44 \times 15.2\\\\= 1329.696 \pi cm^3\\\\= 4177.36318 \;cm^3\\\\= 4177.4 \;cm^3 \text{ when rounded to the nearest tenth}[/tex]

Robin was given a $40 monthly allowance. She wants to go to the movies as many times as possible and have at least $12.50 left at the end
of the month to go to a concert. A movie ticket costs $5. Write and solve an inequality to determine how many times Robin can go to the
movies this month. Then interpret the solution.

PLEASE WRITE THE INEQUALITY WITH THE ANSWER AND A SUMMARY OF HOW TO SOLVE IT

Answers

Answer:

If Robin was given a $40 monthly allowance. She wants to go to the movies as many times as possible and have at least $12.50 left at the end of the month to go to a concert. A movie ticket costs $5. Then she can go six times to the movies.

Step-by-step explanation:

Two or more expressions with an Equal sign is called as Equation.

Given,

Robin was given a $40 monthly allowance.

She wants to go to the movies as many times as possible and have at least $12.50 left at the end of the month to go to a concert.

The amount spent on movies

40-12.5

$27.5

A movie ticket costs $5.

We need to find how many times can she go to the movies.

To find this we need to divide $27.5 by 5

$27.5/5=5.5

Robin can go 6 times to the movies.

You have a portfolio consisting solely of Stock A and Stock B. The portfolio has an expected return of 10.2 percent. Stock A has an expected return of 11.7 percent while Stock B is expected to return 8.3 percent. What is the portfolio weight of Stock A?

Answers

The portfolio weight of Stock A is 0.625 for the given situation.

What use do portfolio weights serve?

The percentage of a portfolio's investments that are assigned to each asset or security is shown by the portfolio weights. Investors can meet their chosen risk and return objectives by varying the weights of various assets in their portfolios. Portfolio weights are a key component of asset allocation and portfolio optimization methodologies since they are used to determine the expected return and risk of a portfolio.

Let w be the weight (proportion) of Stock A in the portfolio.

The weight of Stock B would be (1-w).

Given that, the portfolio has an expected return of 10.2 percent.

0.102 = w(0.117) + (1-w)(0.083)

w = (0.102 - 0.083)/(0.117 - 0.083) ≈ 0.625

Hence, the portfolio weight of Stock A is 0.625 for the given situation.

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Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of
cubic feet, HCF). When graphed, the function gives a line with a slope of 1.65. See the figure below.
If the monthly cost for 21 HCF is $49.58, what is the monthly cost for 24 HCF?
Monthly cost 49.58
(in dollars)
21
Water usage
(in HCF)
$0
X
5
INIC

Answers

The monthly cost for an HCF of 24 will be $39.13.

What is an expression?

In mathematics, an expression is a combination of symbols and/or numbers that represents a quantity or a mathematical relationship between quantities. An expression can consist of variables, constants, and operators such as addition, subtraction, multiplication, and division.

Since the monthly water bill is a linear function of the amount of water used, we can use the point-slope form of a linear equation to write an equation for the line. Let y be the monthly cost (in dollars) and x be the amount of water used (in HCF). Then the equation of the line is:

y - 49.58 = 1.65(x - 21)

Simplifying this equation, we get:

y = 1.65x - 13.57

This means that the monthly cost (y) is equal to 1.65 times the amount of water used (x) minus a constant term of $13.57.

To find the monthly cost for 24 HCF, we simply substitute x = 24 into the equation we just found:

y = 1.65(24) - 13.57

y = 39.13

Therefore, the monthly cost for 24 HCF is $39.13.

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what is the surface area of the cone?

Answers

The answer is approximately 318.9cm.

Suppose you have 3 jars with the following contents. Jar 1 has 1 white ball and 1 black ball. Jar 2 has 2 white balls and 1 black ball. Jar 3 has 1 white ball and 1 black ball. One jar is to be ​selected, and then 1 ball is to be drawn from the selected jar. The probabilities of selecting the​ first, second, and third jars are​ 1/2​, ​1/3​, and ​1/6 respectively. Find the probability the ball was drawn from Jar 3​, given that the ball is white.

Answers

Given that the ball is white, the probability that it was taken from Jar 3 is 1/5, or 0.2. Given that the ball is white, there is a 20% likelihood that it was selected from Jar 3.

How is probability determined?

We must apply Bayes' theorem in order to determine the likelihood that the ball was taken from Jar 3 given that it is white. Let J stand for the scenario in which Jar 3 is chosen, and W for the scenario in which a white ball is drawn. Next, we have:

P(W | J) * P(J) / P = P(J | W) (W)

where P(J) is the prior probability of choosing Jar 3 (1/6), P(W) is the probability of drawing a white ball, and P(W | J) is the probability of drawing a white ball provided that Jar 3 is chosen.

We must apply the law of total probability to determine P(W):

P(W) is equal to P(W | J1) * P(J1), P(W | J2) * P(J2), and P(W | J3) * P. (J3)

where P(W | J1) represents the likelihood that a white ball will be drawn if Jar 1 is chosen (which is 1/2), P(W | J2) represents the likelihood that a white ball will be drawn if Jar 2 is chosen (which is 2/3), and P(W | J3) represents the likelihood that a white ball will be drawn if Jar 3 is chosen (which is 1/2).

Now that the values have been inputted, we can calculate:

P(W) = (1/2 * 1/2) + (2/3 * 1/3) + (1/2 * 1/6) = 5/12

P(J | W) = (1/2 * 1/6) / (5/12) = 1/5

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three plus thee equals. what number

Answers

Answer:6

Step-by-step explanation:

Answer:

3+3=6

Step-by-step explanation:

Apply It 1LFAC is a straight angle and/BAD is a right angle. Find m/FAE Show your work. A B E D (2x + 10) 3x C​

Answers

Answer:

20x + 6x + 2xc

Step-by-step explanation: the only thing you need to do is simply just use the distribute the 2x t every number

Use the tables of values of f and g to answer the problem.
(g ∘ f)(2)

Answers

Answer:

giacsybsc

Step-by-step explanation:

vdgsivetshdvx

Dividing integers. Dan's scores for speed this season are -1, -3, 1, -1, -2, 0. What is his average speed score for the season? (The average is the sum of the points divided by the number of scores)

Answers

Dan's average speed score for the season is -1.

What is the arithmetic operations?

Arithmetic operations are mathematical operations that involve manipulating numbers to perform calculations. The four basic arithmetic operations are addition, subtraction, multiplication, and division.

To find Dan's average speed score for the season, we need to add up all his scores and divide by the total number of scores. We can do this as follows:

-1 + (-3) + 1 + (-1) + (-2) + 0 = -6

Dan's total score for the season is -6. To find his average score, we need to divide this total by the number of scores, which is 6 in this case:

-6 / 6 = -1

Hence, Dan's average speed score for the season is -1.

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Are -1/3(-3m+6-12+15m) and 2(1-2m) equivalent expression?

Answers

Answer:

Yes, -1/3(-3m+6-12+15m) and 2(1-2m) are equivalent expressions. When simplified, both expressions can be written as -5m+4. This can be verified by substituting different values for m in both expressions and then simplifying the expressions. By doing so, the same result of -5m+4 will be obtained for both expressions indicating that they are equivalent

Step-by-step explanation:

Answer: -2and^2*(2m-1)^2

Step-by-step explanation: Step by Step Solution

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "d2"   was replaced by   "d^2".

STEP

1

:

           1

Simplify   —

           3

Equation at the end of step

1

:

     1

 ((((—•(12m-6))•a)•n)•d2)•(1-2m)

     3

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  12m - 6  =   6 • (2m - 1)

Equation at the end of step

3

:

 (((2•(2m-1)•a)•n)•d2)•(1-2m)

STEP

4

:

Equation at the end of step 4

 ((2a • (2m - 1) • n) • d2) • (1 - 2m)

STEP

5

:

Equation at the end of step 5

 (2an • (2m - 1) • d2) • (1 - 2m)

STEP

6

:

Equation at the end of step 6

 2and2 • (2m - 1) • (1 - 2m)

STEP

7

:

7.1    Rewrite   (1-2m)    as  (-1) •  (2m-1)

Multiplying Exponential Expressions:

7.2    Multiply  (2m-1)  by  (2m-1)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (2m-1)  and the exponents are :

         1 , as  (2m-1)  is the same number as  (2m-1)1

and   1 , as  (2m-1)  is the same number as  (2m-1)1

The product is therefore,  (2m-1)(1+1) = (2m-1)2

Final result :

 -2and2 • (2m - 1)2

Find the number of arrangements that can be made by taking 4 letters from the letters of the word addressee.

Answers

Answer: The word "addressee" has 8 letters. To find the number of arrangements that can be made by taking 4 letters from these 8 letters, we can use the formula for combinations, which is:

n C r = n! / (r! * (n-r)!)

where n is the total number of items, r is the number of items to be selected, and ! represents the factorial function.

In this case, we want to select 4 letters from the 8 letters in "addressee", so n = 8 and r = 4. Substituting these values into the formula, we get:

8 C 4 = 8! / (4! * (8-4)!)

= (8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / [(4 * 3 * 2 * 1) * (4 * 3 * 2 * 1)]

= 70

Therefore, there are 70 different arrangements that can be made by taking 4 letters from the letters of the word "addressee".

Step-by-step explanation:

In a triangle ABC angle A is twice as large as angle B and B is 20 more than angle c. what are the measure of each angles​

Answers

Answer:

Step-by-step explanation:

catss

1. A cone has surface area 360*pi in² and volume 800*pi in³. The cone is dilated, and the surface area of the dilated cone is 2,250*pi in². What
is the dilated cone's volume? Round your answer to the nearest hundredth

Answers

The dilated cone's with surface area of 2,250π in^2 has a volume of about 12500π in³

What is dilation?

Dilation is the increase or decrease in the size of a figure.

The cone has surface area 360π in² and volume 800π in^3. the cone is dilated, and the surface area of the dilated cone is 2,250π in^2.

Hence:

Scale factor² = dilated cone area / cone surface area

scale factor² = 2250π / 360π

Scale factor = 2.5

Volume of dilated cone = 2.5³ × 800π = 12500π in³

The dilated cone's with surface area of 2,250π in^2 has a volume of about 12500π in³

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please help.

a helicopter hovers 1400 feet above a small island. the figure shows that the angle of the depression from the to the point P is 30 degrees. how far off the coast, to the nearest foot, is the island?

Answers

Step-by-step explanation:

this (outside) angle of depression is equal to the inner angle at P.

because the line of sight from the helicopter to P is like the diagonal in a rectangle spring the rectangle into 2 equal right-angled triangles (one of just rotated by 180° of the other).

so, the angle at P is 30°.

1400 ft = sin(30)×radius

radius being the line of sight from the helicopter to P.

we need to calculate the radius, because we need it for d :

d = cos(30)×radius

radius = 1400/sin(30) = 2800 ft

d = cos(30)×2800 = 2,424.871131... ft ≈ 2,425 ft

find the axis of symmetry for f(x)=x^{2}+12x+31

Answers

so since the squared variable is the "x", we're looking at a vertical parabola, and its axis of symmetry will be at the x-coordinate for its vertex, let's find its vertex then

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{+31} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{ 12}{2(1)}~~~~ ,~~~~ 31-\cfrac{ (12)^2}{4(1)}\right) \implies \left( - \cfrac{ 12 }{ 2 }~~,~~31 - \cfrac{ 144 }{ 4 } \right) \\\\\\ \left( -6 ~~~~ ,~~~~ 31 -36 \right)\implies (\stackrel{ x }{-6}~~,~-5)\hspace{5em}\stackrel{ \textit{axis of symmetry} }{x=-6}[/tex]

pls show work i’m struggling

Answers

Answer:

Step-by-step explanation:

The Pythagorean Theorem states that: a^2+b^2=c^2.

Therefore 6^2+8^2= c^2

36+64= 100^2

Then square root that. The square root of 100 is 10.

The length of XY is 6. The length of XZ is 10. The difference is 4 units

Answer would be b. 4! Make sure to check put all the different right triangles! Khan academy has some good videos :) also my work below

Which of the following sets of numbers could represent the three sides of a right triangle? O {9, 24, 26} O {37, 77,85} O {65, 72, 97} O {32, 56, 65} ​

Answers

From the given data, the only set of numbers that could represent the sides of a right triangle is {9, 24, 26}.

The set of numbers that could represent the three sides of a right triangle is {9, 24, 26}.

To determine if a set of numbers could represent the sides of a right triangle, we can use the Pythagorean theorem, which states that for a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides. That is,

c² = a² + b²

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

For the set {9, 24, 26}, we have:

26² = 9² + 24²

676 = 81 + 576

Therefore, the set {9, 24, 26} could represent the three sides of a right triangle.

For the other sets:

{37, 77, 85}: 85² ≠ 37² + 77², so this set does not represent the sides of a right triangle.

{65, 72, 97}: 97² ≠ 65² + 72², so this set does not represent the sides of a right triangle.

{32, 56, 65}: 65² ≠ 32² + 56², so this set does not represent the sides of a right triangle.

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O is the center of the regular octagon below. Find its area. Round to the nearest tenth if necessary.

Answers

The answer of the given question based on  regular octagon ,the area of the regular octagon with center O is approximately 232.98 square units.

What is Area?

Area is  measure of  amount of space inside  2-dimensional figure or shape, usually measured in square units like square centimeters or square meters. It is calculated by multiplying  length and  width of the figure or a shape.

To find the area of a regular octagon, we need to use the following formula:

A = 2(1 + √2) × s²

Since O is the center of the octagon, we can draw lines from O to each vertex of the octagon. This will divide the octagon into 8 congruent isosceles triangles.

Let's call the length of each side of the octagon "s". Then the base of each triangle will also be "s". We can use the Pythagorean theorem to find the length of the other sides of the triangle:

s²+ s² = (2s)²/2

2s² = 4s² - 4s²/2

2s² = 2s²/2

s² = s²/2

s = √2s/2

Now we can substitute this value of s into the formula for the area of the octagon:

A = 2(1 + √2) × s²

A = 2(1 + √2) × (√2s/2)²

A = 2(1 + √2) × 2s²/4

A = (1 + √2) × s²/2

A = (1 + √2) × (17/2)²/2

A ≈ 232.98 square units

Therefore, the area of the regular octagon with centre O is approximately 232.98 square units.

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Review

Directions: Identify the type of each of the following triangles based on the sides.

Answers

Answer:

• Triangle A: Side lengths of 5, 3, and 4. This is an acute triangle, as all three angle measurements are less than 90°.

• Triangle B: Side lengths of 12, 7, and 15. This is an obtuse triangle, as one angle measurement is greater than 90°.

• Triangle C: Side lengths of 8, 8, and 8. This is an equilateral triangle, as all three sides and all three angle measurements are equal

Step-by-step explanation:

how many terms 20 - (4 to the second power divided by 2) has

Answers

The number of terms in the expression is 2

How to determine the number of terms in the expression

From the question, we have the following:

20 - (4 to the second power divided by 2)

Express properly

so, we have the following representation

20 - (4^2/2)

A term is a mathematical expression that can be added or subtracted to form a larger expression.

For example, in the expression 3x + 2y - 5, each of the three parts (3x, 2y, and -5) is a term.

Using the above definition, we have the terms to be

20 and (4^2/2) i.e. 2 terms

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A meteorologist reports that the chance of snow is less than 30%. The correct inequality to represent this comparison is s < 30. The variable s represents the likelihood of snow.

Which numbers are solutions of the inequality?
Choose all that apply.
20%
35%
17%
30%
29 and one-half percent%
1.5%

Answers

The solutions to the inequality s < 30 are 20%, 17%, 29 and one-half percent (which is equivalent to 29.5%), and 1.5%.

The disparity that best illustrates the phrase "the possibility of snow is less than 30%" is:

s < 30

This implies that the inequality can be solved for any value of s that is less than 30.

We must compare the numbers to 30 and see if they are less than it in order to identify which ones are the answers to the inequality.

The answer is yes because 20% = 0.2 is less than 30%.

It is not a solution because 35% = 0.35 is not less than 30%.

The answer is yes because 17% = 0.17 is less than 30%.

It is not a solution because 30% = 0.3 is not less than 30%.

That is a solution since 29 and a half percent = 0.295 is less than 30%.

The answer is yes because 1.5% = 0.015 is less than 30%.

As a result, the answers to the inequality s 30 are 20%, 17%, 29 and a half percent (or 29.5%), and 1.5 percent.

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How many terms are in this expression? 7p + 6 + r

Answers

There are two terms in the expression 7p + 6 + r. The first term is 7p and the second term is 6 + r.

I'LL MARK THE BRAINLIEST
The diameter of a circle is 10 3/4 inches.

What is the radius, r, of the circle?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer: The radius of the circle is 5 3/8 inches.

Step-by-step explanation:

The radius of the circle is half of the diameter. We can start by converting the mixed number diameter to an improper fraction:

10 3/4 = (10 × 4 + 3)/4 = 43/4

So, the diameter of the circle is 43/4 inches. The radius is half of this, which we can find by dividing by 2:

r = (43/4) ÷ 2 = 43/8

To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:

r = 43/8 = 5 3/8

Therefore, the radius of the circle is 5 3/8 inches.

Answer:5 3/4

Step-by-step explanation:

10 3/4 * 1/2

1/2 * 43/4 = 43/8

8/43=5 3/4

You pick a card at random
What is P(less than 3)?
Write your answer as a percentage.

Answers

Answer:

30% i think

Step-by-step explanation:

I’ll give BRAINLIEST if correct as well as 5star ratings

Given the polynomial 9x^2y^6 - 25x^4y^8 rewrite as a product of polynomials

Answers

Answer:

The given polynomial already has two terms that can be factored out:

9x^2y^6 - 25x^4y^8 = (3xy^3)^2 - (5x^2y^4)^2

Now we have a difference of squares:

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

Therefore, 9x^2y^6 - 25x^4y^8 can be rewritten as the product of (3xy^3 - 5x^2y^4) and (3xy^3 + 5x^2y^4).

Answer: The answer would be   (3xy^3-5x^2y^4)(3xy^3+5^2y^4)

(C)

Step-by-step explanation: Cant explain how to but for a quick answer it is C, and you can check the image for proof.

What is the total surface area of the prism?

82 sq. cm


12 sq. cm

94 sq. cm


HEPLP WLL MAR BRANLEST

Answers

Answer:

12 as. cm that's the answer

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Michael sang 12 songs. Every song was 3/8 minutes long. For how much time did he sing in total? Write your answer in simplest form. Which statement is true about evaluating the expression 7212+95 on the basic calcul conver 121 pounds into kilograms use 1kg=2.2Ibround you answer to nearest tenth Ms. Curtis Basham grows pears and plums on herurban homestead. Two years ago she gathered 40pounds of pears and 12 pounds of plums. The nextyear thepears declined by 25% and the plumsdeclined by 20%. By what percentage did the totalyield, by weight, of her fruit harvest decline?A. 22.5%B. 24%C. 45%D. 76% Three novel ideas or hypothesis specifically related to the role ofexosomes involved in insulin receptor trafficking and how this canbe targeted in disease state Produce an analysis of how you can come up with criticallyreviewed literature chapters Which of the following explanations describes a sound wave?disturbance travelling generally through air as a longitudinal wavedisturbance travelling generally through liquids as a transverse wavedisturbance travelling generally through plasma as a longitudinal wave This table contains x and y values in equivalent ratios. Fill in the missing value in the table. The molecule formed by joining 2 fatty acids with glycerol is adipeptidediglyceridedisaccharidediglycosidediazepamClear my choice Diamond Corporation is planning a bond issue with an escalating coupon rate. The annual coupon rate will be 4.6% for the first 5years, 5.6% for the subsequent 3 years, and 6.6% for the final 4 years. If bonds of this risk are yielding 7%, estimate the bond's current price. Face value of the bond is $1,000." Im confused of what the answer should be The diameter of the circle is 4 yards what is the circle circumference used 3.14 for pie The________ cycle is also known as carbon________ because theinorganic_______ dioxide is fixed, or attached, to an organicmolecule. Does singing to plants help them grow? You decide to test the effectiveness of your singing prowess on plant growth by singing to six different plants each day for 3 months (it would seem you have nothing better to do with your time). You start each plant with a seed and then count the number of leaves produced at the end of the 3 months. You data looks like this: 1, 2, 4, 5, 7, 11 1.1. What scale of measurement was used by the researcher?2. Calculate the mean, median, mode.3. Calculate the range, variance and standard deviation for the data set using the formula for sample variance and SD.4. Based on your sample, what is the number of leaves associated with +2SD? 5. What number of leaves are associated with 68% of the sample? The number e is the base of the ____________?natural logarithmdecimal systemirrational number systemrational functions How did religiousdifferences inEurope contributeto the increase intensions betweennations in the earlytwentieth century? 2.) During recent seasons, Major League Baseball has been criticized for the length of games. A report indicated that the average game lasts 3 hours and 30 minutes. A sample of 17 games revealed the following time to completion. (Note that the minutes have been changed to fractions of hours, so that a game that lasted 2 hours and 24 minutes is reported as 2.40 hours.) Can we conclude that the mean time for a game is less than 3.50 hours?2.98 2.40 2.70 2.25 3.23 3.17 2.93 3.18 2.802.38 3.75 3.20 3.27 2.52 2.58 4.45 2.45a) What is the critical value of t for this question at the .05 significance level?b) What is the calculated value of t for this question at the .05 significance level? (You need to calculate the standard deviation for the sample.)Enter the value as - x.xxc) Can we conclude that games are less than 3.5 hours long based upon the calculated t-value compared to the critical t-value?Choose 1 answer for question c.c1) Reject the null because the calculated t-value is less than the critical t-value.c2) We fail to reject the null because the calculated t-value is greater than the critical t-value indicating that games are longer than 3.50 hours. the domain of discourse is set of male patients in a clinical study. define the following predicates: p(x): x was given the placebo Investors' required return of equity for AV&V is 18%. What is value estimate for the company, if you know that AV&V's dividend will grow by 29% for the next 4 years and then by 11% ever after? AV&V's dividend last year was $5.Provide your answer rounded to two decimals. PLEASE HELP FAST IF CORRECT ILL GIVE BRAINLIEST!!!!Which example best shows rhetoric in action?A. A flyer explaining the steps members of a household should takein an earthquakeB. A movie about a mysterious corn maze where people go todisappearC. A commercial that explains the health benefits of Tasty OatsCerealD. A book about the first known exploration of the Grand Canyon