What's the slope and y intercept of 3x - y = 7

Answers

Answer 1

Answer:

the slope is 3

the y intercept is (0,-7)

Answer 2

Step-by-step explanation:

3x-y=7 solve for y

add y to both sides

3x=7+y

subtract 7 from both sides

y=3x-7

y=mx+b

m=slope

b=y-intercept

3=slope

-7=y-intercept

Hope that helps :)


Related Questions

1. Select all of the situations below that model this fraction. *
Captionless Image
A. 243 people were at the park. 20 people were playing volleyball. How many people were not playing volleyball?
B. Marcy's bookshelf had 20 shelves. She had 243 books. How many books would go on each shelf if she put the same number of books on each shelf?
C. Josh made $243 in 20 days. How much did he earn each day?
D. Sally and Len bicycled 243 miles in 20 days. How many miles did they bicycle each day?

Answers

Answer:

A. 223 were not playing volleyball

B. 12 books on each shelf with 3 books left over..

C. 12.15$ a day

D. 12.15 miles per day.

Step-by-step explanation:

A. Subtract 20 from 243.

B. Since books cant be divided into fractions, you take 243 divided by 20, which is 12.15. However, we have to say 12 with 3 leftover because books isn't money, a distance measure, etc. and cannot be cut into pieces.

C. 243 / 20 is 12.15

D. 243 / 20 is 12.15

To test the hypothesis that the population standard deviation sigma 12.1, a sample size n=7 yields a sample standard deviation 10.394. Calculate the P- value and choose the correct conclusion. Your answer: The P-value 0.016 is not significant and so does not strongly suggest that sigma<12.1. The P-value 0.016 is The P-value 0.016 is significant and so strongly suggests that sigma<12.1. The P-value 0.381 is not significant and so does not strongly suggest that sigma<12.1. The P-value 0.381 is O significant and so strongly suggests that sigma<12.1. The P-value 0.021 is not significant and so does not strongly suggest that sigma<12.1. The P-value 0.021 is significant and so strongly suggests that sigma<12.1. suggests that sigma<12.1. The P-value 0.015 is not significant and so does not strongly suggest that sigma<12.1. The P-value 0.015 is significant and so strongly suggests that sigma<12.1. The P-value 0.199 is not significant and so does not strongly suggest that sigma<12.1. The P-value 0.199 is O significant and so strongly suggests that sigma<12.1.

Answers

The calculated p-value is 0.016, which is significant. However, it does not strongly suggest that the population standard deviation (sigma) is less than 12.1.

In hypothesis testing, the p-value is used to determine the strength of evidence against the null hypothesis. In this case, the null hypothesis is that the population standard deviation (sigma) is equal to 12.1. The alternative hypothesis would be that sigma is less than 12.1.

A p-value of 0.016 means that if the null hypothesis were true (sigma = 12.1), there is a 1.6% chance of obtaining a sample with a standard deviation of 10.394 or lower. Typically, a p-value below a chosen significance level (e.g., 0.05) is considered statistically significant. However, in this case, the p-value of 0.016 is still relatively close to the significance level, indicating a moderate level of evidence against the null hypothesis.

Therefore, based on the given information, we can conclude that the p-value of 0.016 is significant, but it does not strongly suggest that the population standard deviation is less than 12.1. Strong evidence would require a smaller p-value, further away from the significance level, to support the alternative hypothesis.

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TILAPIA FISH!!!!!!!!!

Answers

Answer:

yes.

................................

You need help with anything??

please help me find the area​

Answers

Answer: 150m

Step-by-step explanation: you first remove 5 from 20 to get what you should multiply for your triangle then you get 15 and multiply it by 12 to get 180 then you divide by 2 since it’s a triangle, to get 90 then you find the area of the rectangle by multipling 5 by 12 to get 60 then 60+90=150

Answer:

150 meters

Step-by-step explain

    He formula for a triangle is a=bh/2.  it ends up being a=12x15/2=90.

    The formula for a rectangle is 12x5=60.

    You take both and add them together and you get 150.

    So the answer is 150 meters.

Let be a fixed vector in and vector be a solution to where Q is a m*n matrix.
Prove every solution to the equation is in the form?

Answers

Given a fixed vector b and a vector x is a solution to Qx = b, it is required to prove that every solution to the equation is in the form x = xh + xp where xh is a particular solution to Qx = b and xp is a solution to the equation Qxp = 0.

Let xh be a particular solution to Qx = b, so that Qxh = b.

Now consider the homogeneous equation Qx = 0.

This is an m × n system of homogeneous linear equations in the n unknowns x1, x2, ..., xn, whose coefficient matrix is Q.

Since xh is a solution to the equation Qx = b, it follows that the equation Q(x - xh) = Qx - Qxh = b - b = 0.

This means that x - xh is a solution to the homogeneous equation Qx = 0.

Now any solution to Qx = b is of the form x = xh + xp, where xp is any solution to the homogeneous equation Qxp = 0.

Thus, every solution to the equation is in the form x = xh + xp, as required.

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predictive modelling and lifetime value modelling are the same
True or False

Answers

The given statement, "predictive modelling and lifetime value modelling are the same" is false. What is Predictive Modeling?

Predictive modeling is a technique for forecasting the probability of a certain event taking place in the future. It entails using current and past data to forecast the future events. In predictive modeling, you use known outcomes of historical data to determine whether specific patterns are likely to recur in the future. What is Lifetime Value Modeling? Lifetime Value Modeling is a method of forecasting the long-term earnings and profit of a business. It's a strategy for calculating the cumulative amount of profit generated by a customer over the life of their relationship with a company. Lifetime Value Modeling is used to decide the most effective ways to engage with consumers, such as personalized deals or special promotions, to maximize their lifetime value to the company by encouraging them to purchase more often and spend more during each transaction.

Predictive modeling and lifetime value modeling are distinct concepts that serve different purposes. Predictive modeling is used to forecast the future occurrence of specific events, whereas lifetime value modeling is used to calculate the long-term value of a customer to a company. So, the given statement is false.

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please answer this for me?

Answers

Answer:

n/a

Step-by-step explanation:

how does it feel

Solve the system of equations given by elimination:

{y = -x + 1
{y = 4x – 14

A. (-3, 2)
B. (-3,-2)
C. (3,2)
D. (3,-2)

Answers

Answer:

y= -x+1

y=4x_14

solution

-x+1=4x-14

-x-4x= -14-1

-5x= -15

-5x/-5= -15/-5

x=3

while y=4x-14

y=4(3)-14

y=12-14

y= -2

helpppppppp will b marked brainliest!!!!!!!!!! Which system of equations is represented in the graph?
a. y= -2 x-2y=6
b. y= -2 x+2y=6
c. y= -2 2x-y= 3
d. y= -2 2x+y= -3

Answers

Answer: d. y= -2 2x+y= -3

Step-by-step explanation: Hope this help :D

which relation is also a function

Answers

A, as the x doesn’t repeat itself

will mark brainliest also its not 6 and 5

Answers

It’s 10 and 3 :)))))

Here is an equation and all the steps Clare and Lin took to solve it. Are both of their solutions correct? Explain your reasoning.

Answers

Answer:

Both solutions are correct

Step-by-step explanation:

Given

Expression:

[tex]14x - 2x +3 = 3(5x + 9)[/tex]

See attachment for Clare and Lins' solution

Required

Determine if they are correct or not

[tex]14x - 2x +3 = 3(5x + 9)[/tex]

Open bracket

[tex]14x - 2x + 3 = 15x + 27[/tex]

Collect like terms

[tex]14x - 2x -15x = -3 + 27[/tex]

[tex]-3x = 24[/tex]

Divide by -3

[tex]x = \frac{24}{-3}[/tex]

[tex]x = -8[/tex]

Both solutions are correct

Help me plz! I need help!

Answers

Answer:

function 2

Step-by-step explanation:

i looked at the table, and since t (which is the x-coordinate in this case) was 0, that means that 5.25 is the y-coordinate and is greater than 5 in the first equation.

The greatest snowfall in a 24- hour period was 76 inches. Which of these is the same as 76 inches?
A. 6 1/3 feet
B. 2.5 yards
C. 7.6 feet
D. 2 1/3 yards

Answers

Answer:

the answer is A. 6 1/3 feet

Step-by-step explanation:

There are 12 inches in a foot. 12 x6=72 r of 4

there are 12 inches in a foot 12÷4=3. 1/3 of a foot

6 + 1/3= 6 1/3

Which rectangular equation represents the parametric equations x =t Superscript one-half and y = 4t? y = 4x2, for x ≥ 0 y = one-fourth x squared, for x greater-than-or-equal-to 0 y = 16x2, for x ≥ 0 y = StartFraction 1 Over 16 EndFraction x squared, for x greater-than-or-equal-to 0

Answers

Answer:

Answer is Option A

Step-by-step explanation:

the things people do for points smh :/

The rectangular equation which represents the parametric equations; x = t^(¹/2) and y = 4t is; y = 4x2, for x ≥ 0.

Rectangular Equation from Parametric equations

From the task content, it follows that the parametric equations given are;

x = t^(¹/2) and y = 4t

Hence, it follows that; t = x² and y= 4t

Ultimately, upon substitution of for t; the resulting rectangular equation is; y = 4t².

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The height, h metres, of a soccer ball kicked directly upward can be modelled by the equation h(t) = -4.9t2 + 13.1t + 1, where t is the time, in seconds, after the ball was kicked. a) How high is the ball after 2 s? 15 b) After how many seconds does the ball reach a height of 0.5 m? /3 21. Determine the inverse function for f(x)=(x - 2), state the domain and range for the function and its inverse. Write each step. 14 22. A farmer has 600m of fencing to enclose a rectangular area and divide 14 into three sections as shown. a) write a equation to express the total area enclosed as a function of the length x. b) Determine the domain and the range of this area function.

Answers

a) The height of the ball after 2 seconds is 7.6 metres.

b) The given function is f(x) = (x - 2).

a) The inverse function of f(x) is g(x) = x + 2.

b) A farmer has 600 metres of fencing to enclose a rectangular area and divide it into 14 sections.

a) The total area enclosed can be expressed as a function of the length of the rectangle x as A(x) = 300x - x².

b) The domain of the area function is (0, 300) and its range is [0, ∞).

a) h(t) = -4.9t² + 13.1t + 1 When the time, t = 2 seconds;

the height of the ball, h(t) =h(2) = -4.9(2)² + 13.1(2) + 1= -4.9(4) + 26.2 + 1= -19.6 + 27.2= 7.6 metres

Therefore, the height of the ball after 2 seconds is 7.6 metres.

b) h(t) = -4.9t² + 13.1t + 1When the height of the ball, h(t) = 0.5 metres; we can write the equation as:

0.5 = -4.9t² + 13.1t + 1

Rearranging,4.9t² - 13.1t + 0.5 - 1 = 0i.e. 4.9t² - 13.1t - 0.5 = 0

Solving using the quadratic formula, t = [-(-13.1) ± √(13.1² - 4(4.9)(-0.5))]/(2(4.9))= [13.1 ± √(171.61)]/9.8≈ 0.138 and t ≈ 2.23

Thus, the ball reaches a height of 0.5 metres twice, at approximately 0.14 seconds and 2.23 seconds.

The given function is f(x) = (x - 2).

a) We can find the inverse of a function by interchanging x and y and then solving for y.

Here, f(x) = (x - 2) so we can write it as x = (y - 2)

Interchanging x and y: x = (y - 2)

Solving for y, we get: y = x + 2

Hence, the inverse function of f(x) is g(x) = x + 2.

b) Domain and range of the function and its inverse

The domain of f(x) is all real numbers. (i.e. -∞ < x < ∞)

The range of f(x) is all real numbers. (i.e. -∞ < f(x) < ∞)

The domain of g(x) is all real numbers. (i.e. -∞ < x < ∞)

The range of g(x) is all real numbers. (i.e. -∞ < g(x) < ∞)

The steps of the solution are given below:

Therefore, the inverse function of f(x) is g(x) = x + 2.

The domain of f(x) is all real numbers, and its range is all real numbers.

Similarly, the domain and range of g(x) is all real numbers.

A farmer has 600 metres of fencing to enclose a rectangular area and divide it into 14 sections.

Let x be the length and y be the width of the rectangle.

a) Write an equation to express the total area enclosed as a function of the length x.

Perimeter of the rectangle = Total fencing = 600 metres2(x + y) = 600i.e. x + y = 300

Solving for y, we get:

y = 300 - x

Thus, the area of the rectangle is A(x) = xy = x(300 - x) = 300x - x²

Therefore, the total area enclosed can be expressed as a function of the length of the rectangle x as A(x) = 300x - x².

b) Determine the domain and range of the area function.

The domain of the function is the set of all possible values of x, which in this case is the set of all positive real numbers. (i.e. 0 < x < 300)

The range of the function is the set of all possible values of A(x), which in this case is the set of all non-negative real numbers. (i.e. 0 ≤ A(x) < ∞)

Therefore, the domain of the area function is (0, 300) and its range is [0, ∞).

The steps of the solution are given below:

Therefore, the total area enclosed can be expressed as a function of the length of the rectangle x as A(x) = 300x - x². The domain of the area function is (0, 300) and its range is [0, ∞).

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Which equation represents the line that passes through the point (3, –1) and is perpendicular to the graph of x + 4y = 10?

Answers

Answer:

y=6x+7

Step-by-step explanation:


The graph of the function f(x) = ax^2 + bx + c has vertex at (0, 2) and passes through the point
(1, 8). Find a, b and c

Answers

Answer:

Step-by-step explanation:

You need to use vertex form of a quadratic to solve this.

Consider the vertex to be [tex](h,k)[/tex]

Another way of representing a quadratic is in "vertex form":

[tex]f(x) = a(x-h)^2+k[/tex]

Now all you have to do is solve for a.  You know that the vertex is [tex](0,2)[/tex] and you have know the point of [tex](1,8)[/tex].  Now, all you have to do is plug in these values and solve for a.

[tex]8 = a(1-0)^2+2\\8=a(1)^2+2\\8=a+2\\a=6[/tex]

Now you know the equation is [tex]f(x) = 6(x-0)^2+2[/tex] , but you need it in quadratic form.  All you have to do is solve is distribute the 6:

[tex]6x^2+2[/tex]

You get:

a = 6

b = 0

c = 2

Please mark this as brainliest if it satisfies your question

The second quartile for the numbers:
231,423,521,139,347,400,345 is
A 231
B 347
C 330,
D 423

Which of the following measures of variability is dependent on every value in a Set of data?
A Range
B. Standard deviation
C A and B
D. Neither A nor B

Which one of these statistics is unaffected by Outliers?
A Mean
B. Interquartile range
C Standard deviation
D. Range

Answers

The second quartile for the numbers 231, 423, 521, 139, 347, 400, 345 is 347. The median value is the second quartile

. So, when the numbers are arranged in ascending order, 347 is in the middle.

The following measures of variability is dependent on every value in a Set of data:

Standard deviation is the measure of variability that is dependent on every value in a Set of data.

Standard deviation is a measure that is used to quantify the amount of variation or dispersion of a set of data values.

Among these statistics, the Interquartile range is unaffected by outliers. The IQR is the distance between the first quartile (Q1) and the third quartile (Q3), which represents the middle 50% of the data.

The interquartile range (IQR) is unaffected by outliers because it only uses the values of the data points located at the 25th and 75th percentile of the data set to measure variability.

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Please help me
Find the surface area
If you can explain to that would be great if not that’s fine
4 m
12 m
18 m

Answers

Answer

672 meters²

Step-by-step explanation:

2×(18×12 + 18×4 + 12×4) = 672 meters²

hope this helps :))




9) set 21 and 22 be rings with identities ter and 1R₂, respectively. Prove that the set of all Toleals of R1X22 = $ Il x I₂: It is on Ideal of 21 and is an ideal of R2}.

Answers

The Set of all ideals of R₁×R₂, denoted as I₁×I₂, is an ideal of R₁×R₂, and it is also an ideal of R₁ and R₂ separately.

To prove that the set of all ideals of R₁×R₂, denoted as I₁×I₂, is an ideal of R₁×R₂, we need to demonstrate that it satisfies the necessary properties of an ideal.

1. Closure under addition: Let (a, b) and (c, d) be two elements in I₁×I₂. We need to show that their sum, (a, b) + (c, d), is also in I₁×I₂. Since both (a, b) and (c, d) are in their respective ideals, this implies that a+c is in I₁ and b+d is in I₂. Therefore, (a+c, b+d) is in I₁×I₂, showing closure under addition.

2. Closure under scalar multiplication: Let (a, b) be an element in I₁×I₂ and (r, s) be an arbitrary element in R₁×R₂. We need to show that their scalar product, (a, b)(r, s), is in I₁×I₂. Since a is in I₁, and R₁ is a ring with identity, we have ar is in I₁. Similarly, since b is in I₂ and R₂ is a ring with identity, we have bs is in I₂. Therefore, (ar, bs) is in I₁×I₂, demonstrating closure under scalar multiplication.

3. Contains additive identity: The additive identity in R₁×R₂ is (0, 0). Since both I₁ and I₂ are ideals, they contain their respective additive identities. Therefore, (0, 0) is in I₁×I₂.

Since the set of all ideals of R₁×R₂, denoted as I₁×I₂, satisfies closure under addition, closure under scalar multiplication, and contains the additive identity, it meets the definition of an ideal of R₁×R₂.

Additionally, since I₁×I₂ is a subset of both I₁ and I₂, it is an ideal of R₁ and R₂ individually.

In conclusion, the set of all ideals of R₁×R₂, denoted as I₁×I₂, is an ideal of R₁×R₂, and it is also an ideal of R₁ and R₂ separately.

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Find the distance between the points (–7,–9) and (–2,4).

Answers

Answer:

13.93

Step-by-step explanation:

see attached for explanation

What is 40x + 4y = 24

Answers

Answer:

sorry but your question can't be solved any further because it doesn't have any like termsand you can't add40x and4y together it's impossible unless you multiply

help plsss. marking brainliest

Answers

Answer:

1. 3

2. 1

Step-by-step explanation:

Answer:

1.3. now mark brainlieet plsssssssssss like you said you would

Pls someone help me

Answers

Answer:

Step-by-step explanation:

455

What is the best definition for “sample” as used in statistics?
the entire population of the group
a part of the population that represents the entire population
the difference between the maximum and minimum values observed
a measure of how much the values within a population vary

Answers

Answer:

a part of the population that represents the entire population

Step-by-step explanation:

Answer:

I think it is the second option

I hope it helps you  

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

36

Step-by-step explanation:

There are 30 red marbles and the ratio of black to yellow is 4/5, so 4/5=orange/green=orange/30.

30 is 6 times 5, so black=6 times 4=24. There are 24 black marbles.

Total of black and yellow=24+30=54.

40% of the marbles are green so 60% are black/yellow. Also 60% is 54 marbles.

60% is 60/100=3/5 so 3/5 of the total is 54 marbles, therefore 1/5 is 54/3=18 and 2/5 is the number of red marbles=2 times 18=36 red marbles.

to be honest i can't think of anything original for the visual thing, but i think the pi chart from the person above me would work well

Answer: 36

Step-by-step explanation: 2/5 of marbles are red, and 4:5 ratio is multiplied by 6 because there are 30 yellow marbles and so 3/5 of the marbles are 54 and 2/5 are 36. For visual model draw a pi chart with 40% red, 33% yellow, and 27% black.

Let A = {a,b,c}, B = {1, 2, 3, 4), and C = {w, x, y, z), and let R= {(2, 1), (6, 3), (6, 4), (C, 3)} and S = {(1, y), (1, 2), (2, w), (3, z)}. What is the composition relation ( RS) of R with S?

Answers

The pair (6, 3) in R, (6, 4) in R, and (C, 3) in R couldn't be matched with any pair in S, so they are not included in the composition relation RS.

To find the composition relation RS of R with S, we need to combine the ordered pairs in R and S in a way that the second element of each pair in R matches the first element of the pair in S.

Let's perform the composition:

R = {(2, 1), (6, 3), (6, 4), (C, 3)}

S = {(1, y), (1, 2), (2, w), (3, z)}

To form RS, we match the second element of each pair in R with the first element of each pair in S:

(2, 1) in R matches with (1, y) in S, so we combine them to form (2, y).

(2, 1) in R matches with (1, 2) in S, so we combine them to form (2, 2).

(6, 3) in R doesn't match with any pair in S.

(6, 4) in R doesn't match with any pair in S.

(C, 3) in R doesn't match with any pair in S.

Therefore, the composition relation RS is: RS = {(2, y), (2, 2)}

The pair (6, 3) in R, (6, 4) in R, and (C, 3) in R couldn't be matched with any pair in S, so they are not included in the composition relation RS.

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i need help!!!! i have to identify the area and i forgot how to do it and it was due 2 days ago!

Answers

Answer: I think B is the answer.

Step-by-step explanation:

Answer:not sure but

Step-by-step explanation: you can multiply each box, so lets say we have 20 times 7cm you multiply that and you get your answer, so put that a side

and once you multiply in each box add the numbers up and that should get your answer and make sure to add the "cm" at the end

Guided Practice
Find the square.


(c + 1)2


A.
c2 + 1


B.
c2 + c + 1


C.
c2 + 2c + 1

Answers

Answer:

C

Step-by-step explanation:

(c + 1)(c+1) = c² + c + c + 1 = c² + 2c + 1

Other Questions
The following lots of Commodity Z were available for sale during the year. Beginning Inventory. 7 units at $47 First purchase 16 units at $50 Second purchase 55 units at $55 Third purchase 13 units at $58 The firm uses the periodic system, and there are 21 units of the commodity on hand at the end of the year. What is the ending inventory balance at the end of the year according to the LIFO method? Oa. $4,908 Ob. $1,194 Oc. $1,029 Od. 1997 as you move down the production possibility frontier, the absolute value of the opportunity cost: HOW LONG IS PQ?special right triangles khan academy For which color is the difference between the theorectical probability and experimental probability greatest? A. Brown; The experimental probability is 19.52%, and the theoretical probability is 25%. B. Orange; The experimental probability is 18.9%, and the theoretical probability is 15%. C. Yellow; The experimental probability is 16.96%, and the theoretical probability is 20%. D. 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At the beginning of the period December 31, 2019 the merchandise inventory level was 10 100 and during the year 2020 the company purchased 15500 of merchandise with 4% cash discount (the cash purchases was 6200). Due to the low quality of the merchandise the company agreed with the suppliers on 900 purchase allowance. The freight -in cost for the 2020 period were 82. The ending inventory as of December 31, 2020 level was 2 600. Please calculate cost of goods sold and gross profit under the periodic system inventory for 2020 In what industry do fertilizers and pesticides wash off and contaminate water supplies?Construction Oil Transportation Agriculture Read Dogfight over Europe: Ryanair (A), and then answer the following questions.1. What is your assessment of Ryanairs launch strategy?2. How do you expect Aer Lingus and British Airways to respond? Why?3. Can the Ryan brothers make money at the fare they propose?4. How costly would it be for Aer Lingus and British Airways to retaliate against Ryanairs launch rather than accommodate it? Determine the domain and range in the function, f(x)=abxf(x)=ab^x , when a =1/4 and b=16. Voy a usar la computadora. Primero,_______ la maquina a metob. prendoC. entrod. apago The function f(x) = \frac{5}{(1 - 9 x)^2} is represented as a power series \displaystyle f(x) = \sum_{n=0}^\infty c_n x^n . Find the first few coefficients in the power series. c_0 = c_1 = c_2 = c_3 = c_4 = Find the radius of convergence R of the series. Assuming the sample was taken from a normal population, what type of test should be performed to test the following?H_: = 190H_A: > 190X = 186s = 22n = 14 a student is observing an object of unknown mass that is oscillating horizontally at the end of an ideal spring. The student measure the object's period of oscillation with a stopwatch. While the object is continuously oscillating, the student determines the maximum speed of the object during two oscillations. The first speed is 3.5 m/s and the second speed is 2.7 m/s. Which of the following could account for the decrease in the object's maximum kinetic energy?a. Meterstickb. Motion sensorc. Balanced. Photogate The length of the rectangle is 9 cm.The perimeter of the rectangle is 31 cm.(b) Work out the width of the rectangle. (a) Calculate the %1C of the interatomic bond for the intermetallic compound TIA 13 (b) On the basis of this result, what type of interatomic bonding would you expect to be found in TiAlg?%IC list down the signs and symptoms of drugs use and abuse The following statements refer to a comparison of reproduction in ferns vs. flowering plants. Indicate whether each statement is true or false by writing true or false in each blank. true Both ferns and flowering plants produce spores at some point in their life cycles. false Only ferns have a gametophyte as part of their life cycle. Only flowering plants produce pollen grains. true Both a tree and a large fern plant are diploid sporophytes. What is the best description of a food chain? the competition among several species for the same food itemthe transfer of energy from one organism to another An astronaut onboard a spaceship travels at a speed of v=0.900 c, where is the speed of light in a vacuum, c= 3.00x10^8 m/s, to the Alpha Centauri. An observer on the Earth also observes this space travel. To the observer on the Earth, Alpha Centauri is stationary, and the distance between the Earth and Alpha Centauri is 4.30 lightyears. (a) What is the space travel time interval in years as measured by the Earth observer? Keep 3 decimal places. (b) What is the space travel time interval in years as measured by the astronaut on the spaceship? Keep 3 decimal places. (c) What is the distance in light-years between the Earth and Alpha Centauri as measured by the astronaut on the spaceship? Keep 3 decimal places. Insight: compare the distance between the Earth ans Alpha Centauri as measured by the Earth Observer and the Astronaut in the spaceship, which one is the proper length, which one is the contracted length? How do they fit into the respective definitions? No submission. The length of the spaceship as measured by the Earth observer is 33.56 m. (d) What is the length of the spaceship as measured by the astronaut in the spaceship? Keep 2 decimal places. Insight: compare the length of the spaceship as measured by the Earth Observer and the Astronaut in the spaceship, which one is the proper length, which one is the contracted length? How do they fit into the respective definitions? No submission Another spaceship An astronaut onboard another spaceship travels at a speed of v=0.857 c, where is the speed of light in a vacuum, c=3.00x10^8 m/s, to Alpha Centauri. What is the distance in light-years between the Earth and Alpha Centauri as measured by the astronaut on this spaceship? Keep 3 decimal places.