. indicate whether each of the following can be determined exactly or must be measured with some degree of uncertainty:

Answers

Answer 1

Determination of Uncertainty for given situations are:

a) certain.

b) uncertain.

c) uncertain.

d) uncertain.

e) certain

What is Uncertainty?

The range of potential values between which the genuine value of both the measurement can be found is referred to as uncertainty in this context.

a) A basket's capacity for eggs:

The measurement that is precise and free from uncertainty is the number of counting objects. Consequently, we are able to precisely count the eggs in a basket.

b) The weight of 12 bananas:

Given that no two bananas are the same size and therefore have different masses, it is uncertain to determine the mass of a dozen bananas. This is true for the computation of the mass of any object.

c) The iron block's mass

Because no two pieces of iron in an iron block are the same size, it is difficult to determine the mass of an iron block.

d) The quantity of gasoline required to fully fill a car's gas tank:

Due to the fact that gasoline is indeed a gas molecule and is volatile, it is difficult to calculate how many gallons are required to fill an automobile's gas tank.

e) There is 5 cm in a meter.

By using the relation, we can precisely calculate how many cm there are in 5 meters. Knowing that 1 m = 100 cm.

Determination of Uncertainty for given situations are:

a) certain.

b) uncertain.

c) uncertain.

d) uncertain.

e) certain

Learn more about Uncertainty here:

https://brainly.com/question/1577893

#SPJ4


Related Questions

13 1. What is the volume of the cone shown below?

5 cm

13 cm

Note: The figure is not drawn to scale.

Answers

the volume of the cone when radius is cm  and height is 13 cm is 340.34 cm³

What are derived units?

Defining a derived unit is the process of deriving a measurement unit from one or more of the seven base units of the International System of Units (SI). There are two types of derived units: dimensionless and the product of base units.

Here, the given data for cone are :

radius of base r = 5 cm = 0.05 m

height of cone h = 13 cm = 0.13 m

Now, the volume V of cone is given by :

V = 1/3 πr²h

Now, finding the volume of cone by substituting the values in above equation :

V = 1/3 πr²h

V = 1/3  π x (5)² x 13

V = 340.34 cm³

Therefore, the volume of the cone is 340.34 cm³

check and know more about volume here :

https://brainly.com/question/1578538

#SPJ1

how's ur day going? Also any tips on geometry?

Answers

It’s going alright. What do you need help with?

a have a box of d chocolates. i eat 7 of them. how many chocolates are left?

Answers

Answer:

d-7 would be the equation. If you don't know what D is, use the variable "D"

in a random sample of 66 residents of the state of maine, the mean waste recycled per person per day was 1.31.3 pounds with a standard deviation of 0.450.45 pounds. determine the 95�% confidence interval for the mean waste recycled per person per day for the population of maine. assume the population is approximately normal. step 2 of 2 : construct the 95�% confidence interval. round your answer to one decimal place.

Answers

The confidence interval lies between (0.827754, and 1.77225).

What is confidence interval ?

An area created using fixed-size samples of data from a population( sample space) that follows a particular probability distribution is known as a confidence interval. A named population statistic is erected into the interval with a specified probability. A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95 confidence position is the most popular, still other situations, similar to 90 or 99, are sometimes used when calculating confidence intervals. A confidence interval is a set of figures that we're nicely confident represent our true value. A named population statistic is erected into the interval with a specified probability.

Here, sample mean x = 1.3

sample standard deviation s = 0.45

and sample size n = 6

The 95% confidence interval for the mean waste recycled

= 1.3 - [tex]\frac{0.45}{\sqrt{6} }[/tex] X  [tex]t_{0.025'}[/tex] 1.3 +[tex]\frac{0.45}{\sqrt{6} }[/tex] X [tex]t_{0.025'}[/tex]

= 1.3 - [tex]\frac{0.45}{\sqrt{6} }[/tex] X 2.57058 , 1.3 +[tex]\frac{0.45}{\sqrt{6} }[/tex]X  2.57058

= (0.827754, 1.77225)

Learn more about confidence intervals here: https://brainly.com/question/15712887

#SPJ4

For g (x)=x^2 + 6 find g(2)

Answers

Answer:

plug in the 2 for x so its 2^2+6 2^2 is 4 plus 6 is 10

Step-by-step explanation:

permutation p-values should never be zero: calculating exact p-values when permutations are randomly drawn

Answers

Permutation P-values should never be zero: calculating exact P-values when permutations are randomly drawn

This is a research paper whose authors are Belinda Phipson , Gordon K Smyth,

Abstract:

Permutation tests are among the most extensively used statistical procedures in current genomic research, and they include randomly permuting the sample or gene labels to assign p-values to test statistics. However, permutation p-values reported in the genomic literature are frequently estimated improperly, understating the number of permutations by roughly 1/m. When Monte Carlo simulation is used to assign p-values, the same thing frequently happens. Although the p-value understatement is generally small in absolute terms, the repercussions in a multiple testing situation might be severe.The underestimation stems from the intuitive but incorrect notion of using permutation to estimate the tail probability of the test statistic. Instead, we propose that permutation should be understood as yielding an exact discrete null distribution. The relevant literature, some of which is likely to have been relatively unavailable to the genetic community, is reviewed and summarised.

Conclusions:

When permutations are selected at random, a computing approach is established for accurate p-values. The approach works for any number of permutations and samples. Some basic guidelines are offered for the practical application of permutation testing.

To learn more about statistics, visit :

brainly.com/question/23091366

#SPJ4

What is the value of the following expression?: 6+32-5-7
O a. 44
O b. -12
C. 398
O d. 68

Answers

Answer:

44

Step-by-step explanation:

The answer to your question is A.) 44

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Answers

The slope of the line is: 1.

How to Find the Slope of a Line?

Slope of a line (m) = rise of the line / run of the line.

Given the line in the diagram, the image attached below shows the run of the line, which is the blue line, and the rise of the line, which is the red line.

Rise of the line = 2 units

Run of the line = 2 units

Slope of the line = 2/2

Slope of the line = 1

Learn more about the slope of a line on:

https://brainly.com/question/28086654

#SPJ1

Alva has 4 packs of pencils. There are 15 pencils in each pack. She wants to put an equal number of pencils into 6 pencil pouches. Which expression would show how many pencils can go in each pencil pouch?

4÷15×6

(15×4)÷6

(15÷4)×6

4×15×6

Answers

Option 2 is correct (15x4)/6

translate the following verbal statement into an algebraic equation and then solve: use x for your variable. the quotient of three more than a number and six is nine.

Answers

Answer:

2x)\9

Step-by-step explanation:

Answer:

X+3/6=

Step-by-step explanation:

Express the following volume as a monomial.
9m²n⁴​

Answers

Answer:

3^2m^2n^4

Step-by-step explanation:

3^2m^2 * n^4

question add 113 (−56) using the number line. select the location on the number line to plot the sum.

Answers

The addition of 113 and -56 using the number line gives the answer as 57.

the two numbers to be introduced are 113 and -56.A fine variety indicates we have to move within the proper course at the range line. A negative variety suggests we have to pass within the left course at the wide variety line. We continually begin from the neutral cost, i.e., zero.We circulate 113 unit steps closer to the right of zero and mark that point.We now need to move fifty six unit steps towards the left of the ultimate marked factor, i.e., from 113 to mark it as our final result of addition.in this way, we can upload any two numbers the usage of the variety line.

To learn more about the number line, visit :

https://brainly.com/question/13425491

#SPJ4

What does 1 whole 1/5 - 2 wholes 3/4 =

Answers

The answer to your question is -1 and 11/20. See image for step by step analysis.

3(k + 5) = -2(3k - 6)

Answers

Answer:

k = -1/3

Step-by-step explanation:

1. Simplify by distributing

3k + 15 = -6k + 12

Move -6 onto the left side by adding 6k onto both sides =

9k + 15 = 12

Now subtract 15 on both sides=

9k = -3

Now divide both sides by 9=

k = -1/3

Answer:

k=-1/3

Step-by-step explanation:

3k+15=-6k+12

15-12=-6k-3k

3=-9k

k=-1/3

(1/a)+(1/b)-(1/c)=4 for c

Answers

The value of the c is obtained as; c = ac/(b + a - 4ab).

What is defined as the equation?

A mathematical equation can be defined in a variety of ways. In its most basic form, an equation is a statement that demonstrates that two formulas are equal.

3x + 5 = 24, for example, is an equation in which 3x + 5 and 24 are two declarations kept separate by a 'equal' sign. In mathematics, the most basic as well as simple algebraic formulas consist of one or more variables.A linear equation can have multiple variables. A linear equation is one in which the variable's highest power is always 1. A one-degree equation is another name for it.

Now, for the given equation in three variables;

(1/a)+(1/b)-(1/c) = 4

Bring the quantity to be find on one side and others on the other side.

1/a + 1/b - 4 = 1/c

Taking LCM on the left hand side.

(b + a - 4ab)/ab = 1/c

Taking the reciprocal on the both side.

c = ac / (b + a - 4ab)

Thus, the solution of the given equation in the terms of the c is;

c = ac / (b + a - 4ab).

To know more about the equation, here

https://brainly.com/question/17145398

#SPJ9

How is the graph of the parent function y=1/x transformed to create the graph of y=-1/3x?
It is horizontally stretched by a factor of 3 and reflected over the y-axis.
A. It is translated 3 units down and reflected over the x-axis.
B. It is horizontally compressed by a factor of 3 and reflected over the x-axis.
C. It is translated 3 units down and reflected over the y-axis.
D. It is horizontally stretched by a factor of 3 and reflected over the y-axis

Answers

It is horizontally compressed by a factor of 3 and reflected over the x-axis.

How to determine the transformation?

The parent function is given as:

y = 1/x

When the above function is compressed by a factor of 3, the function becomes

y = 1/3x

Next, when the above function is reflected over the x-axis or the y-axis, the function becomes

y = -1/3x

Hence, the transformation is (b) it is horizontally compressed by a factor of 3 and reflected over the x-axis.

Read more about transformation at:

https://brainly.com/question/4289712

#SPJ1

Answer:

The qzz answers to whole thing for "transformations of functions" on Edg. is the following:

1) B

2) A

3) A

4) B

5) B

6) C

7) C

8) A

9) D

10) B

Step-by-step explanation:

Trust me! I got 100% :)

given cosine of x is equal to negative square root of 3 over 2 comma what is the value of cos(x π)?

Answers

Value of cos(x+π) = [tex]\bold{\frac{\sqrt{3} }{2}}[/tex]

Given cosine of x = [tex]-\frac{\sqrt{3} }{2}[/tex]

i.e., cos(x) =  [tex]-\frac{\sqrt{3} }{2}[/tex]

Also cos([tex]\frac{\pi}{6}[/tex]) =  [tex]\frac{\sqrt{3} }{2}[/tex]. So x = [tex]\frac{\pi}{6}[/tex].

We need to find cos(x+π) = cos([tex]\frac{7\pi}{6}[/tex]).

But its value is not easy to find. So we use trigonometric formulas.

We have the trigonometric formula, cos (x+π) = - cos(x) = -  [tex]-\frac{\sqrt{3} }{2}[/tex] =  [tex]\bold{\frac{\sqrt{3} }{2}}[/tex]

Cos(x+π) lies in the 3rd quadrant. So there cosine has negative values. That is why, cos (x+π) = - cos(x).

Learn more about Cos(x+π) trigonometric formula at https://brainly.com/question/12243383

#SPJ4

Mr. Sid spends 2 5 of his salary on food and 3 10 of the remaining on house rent and electricity. If he keeps the remaining part of his salary as savings, what fraction of his salary does he save?

Answers

The fraction of his salary  he does save is 3/10, on the basis that Mr. Sid spends 2/5 of his salary on food and 3 10 of the remaining on house rent

What fraction of total salary is saved?

The fraction of the salary saved means the proportion of total salary that is neither spent on food nor on house rent, it can determined as the total salary minus the fractions spent on food and house rent respectively

If assume that the total salary is 1, when deducting 2/5 and 3/10 from 1 we can determine the part that is saved

savings=1-(2/5)-(3/10)

if lcm is 50, we would have the below

savings=(50-20-15)/50

savings=15/50

savings=3/10

Find out  more about fraction on:https://brainly.com/question/1301963

#SPJ1

Two circles C₁ and C₂ have their centres at the point (3,4) and touch a third circle, C3.
The centre of C3 is at the point (0,0) and its radius is 2.
What is the sum of the radii of the two circles C₁ and C₂?

Answers

The sum of the radii of the two circles C₁ and C₂ is 4 units

Given data

Two circles C₁ and C₂ have their centres at the point (3,4)

The centre of C3 is at the point (0,0) and its radius is 2

And C1 and C2 is touching C3

How to find the sum of the radii of the two circles C₁ and C₂

Since the two circles have same centre and touch a third circle at same point, The two circles have equal radius r

The distance, d from the origin using point x and y given is solved for as follows:

d^2 = x^2 + y^2

d^2 = 3^2 + 4^2

d^2 = 9 + 16

d^2 = 25

d = √25

d = 5

Radius if the two circles is 5 - 3 = 2

One of the radius is 2 hence sum of the two radii

= 2 + 2

= 4 units

Read more on circles here: https://brainly.com/question/26594685

#SPJ1

10. janet and david are playing with a pair of dice. if janet rolls two numbers whose sum is less than 6, david wins and gets to roll next. however, if janet rolls two numbers whose sum is 6 or greater, she gets to keep rolling. is this a fair method for their game? this is a fair method. this is not a fair method. not enough information.

Answers

Considering the probabilities of each outcome, it is much more likely that Janet wins than David, hence this is not a fair method.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The 36 total outcomes for the roll of two dice are given as follows:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6).(2,1), (2,2), (2,3), (2,4), (2,5), (2,6).(3,1), (3,2), (3,3), (3,4), (3,5), (3,6).(4,1), (4,2), (4,3), (4,4), (4,5), (4,6).(5,1), (5,2), (5,3), (5,4), (5,5), (5,6).(6,1), (6,2), (6,3), (6,4), (6,5), (6,6).

The number of outcomes in which the sum is less than 6 is:

10.

Hence the probability that David wins is:

p = 10/36.

Janet winning is complementary to David, hence the probability she wins is:

p = 26/36.

From the probabilities, it is much more likely that Janet wins than David, hence this is not a fair method.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Contains (5, 8) and is parallel to the graph of y = 7x - 6.

Answers

The required equation of the line is y = 7x–27.

The general equation of the line is y = mx + c.The given equation of the line is y = 7x6.The slope (m) of the line is 7.The slope should be the same for another line to be parallel to this one.The required equation of line is of the form y = 7x + c.We know that the required line passes through the given point(5, 8).So, (5, 8) should satisfy the equation of the line.y = 7x + c8 = 7*5 + c8 = 35 + cc = 27Thus, the required equation for the line is y = 7x27.

To learn more about the slope, visit :

https://brainly.com/question/3605446

#SPJ1

MARKING BRAINLEIST IF CORRECT

Answers

Answer:

d ; x = 36 degrees

Step-by-step explanation:

Straight angle = 180 degrees

The Acute angle = 2x

The Obtuse angle = 3x

2x + 3x = 180

5x = 180

x = 180/5

x = 36

<7 is a supplement of <8, and m<7 =109 . find m<8

Answers

It is 81 becuase 109+81 equals 180 which is a supplementary angle!

Joel is training for a marathon. He records the number of miles that he ran each day for a week. In two weeks he plans on increasing the distance he runs on Monday and Tuesday by 1 mile, and the amount he runs on Friday, Saturday and Sunday by 2 miles. How will this affect the MEAN number of miles he runs in a week?

Answers

The mean will increase by 1.6 miles.

How to calculate the mean?

It should be noted that from the information, in two weeks he plans on increasing the distance he runs on Monday and Tuesday by 1 mile, and the amount he runs on Friday, Saturday and Sunday by 2 miles.

The mean will be:

= (1 × 2) + (2 ×3) / 5

= (2 + 6)/5

= 8/5

= 1.6

The mean will increase by 1.6 miles.

Learn more about mean on:

brainly.com/question/1136789

#SPJ1

Carlos sold 7 cherry pies and 4 blackberry pies for a total of $71. Elisa sold 3 cherry pies and 4 blackberry pies for a total of $51. What is the cost each of one cherry pie and one blackberry pie?

Answers

The cost of one cherry pies is $ 5 and the cost of one blackberry pies is $ 9.

Let the cost of cherry pies be x and the cost of blackberry pies be y.

In case of Carlos, we get the equation as:

7 x + 4 y = 71   …(1)

In case of Elisa, we get the equation as:

3 x + 4 y = 51

4 y = 51 - 3 x   …(2)

Put equation (2) in equation (1)

7 x + 51 - 3 x = 71

4 x = 71 - 51

4 x = 20

x = 20 / 4

x = 5

4 y = 51 - 3 (5)

4 y = 51 - 15

4 y = 36

y = 36 / 4

y = 9

Therefore, we get that, the cost of one cherry pies is $ 5 and the cost of one blackberry pies is $ 9.

Learn more about equation here:

https://brainly.com/question/1214333

#SPJ9

Gina Wilson Unit 7 Homework 2 . answers for all please

Answers

1) 72 + 18 =90. Therefore the angles are complementary angles

2) Angles one and two are a pair of opposite angles made by two intersecting lines. Those are called vertical angles.

3) Those two are right angles, and two right angles add up to 180. So they are right angles and supplementary angles.

4) Adjacent angles

5) Vertical angles and supplementary (because both are right angles)

6) Right angles, supplementary, linear, adjacent angles.

7) Complementary and adjacent angles.

8) Angle of a straight line is 180. So 180-21 should equal x. x=159

9) As stated in number 2, vertical angles are congruent. x=129

10) 38 and x are complementary angles. (it shows a box on the angle formed by both of them, which means it is a right angle.) 90-38 = 52

11) Vertical angle rule. y = 93. The sum of 93, y, x, and z is 360, because the degree of a full circle is 360 degrees. so, 360-93-93 is 174. However, because of the vertical angle rule we will know that x=z. so 174/2 is 87.

x=87 and z=87

12) If you read the question, it states m∠PQR is 147, and ∠PQR is consisted of 119 and x. So, 147-119 is x. x=28

13) W and 34 are linear angles. Linear angles add up to 180 degrees. So, 180-34. w=146. Angle x is labeled with a box at the vertex of the angle. That indicates it is a right angle. x=90. The angle formed with 34 and z is labeled with a box at the vertex, indicating 34+z is 90. Therefore, 90-34=z. z=56. Finally, because angle x is linear with angle (y+z), we will know that y+z is equal to 90. Therefore, y+z=90, y+56=90, y=90-56, y=34

14) We are given that m∠AEC is 41. ∠AEC and ∠AED are linear angles. So, m∠AED = 180-41. m∠AEC=139

15) ∠DEF is a right angle, indicated by the box label at the vertex. ∠DEF and ∠CEF are linear angles, therefore m∠CEF = 180-90. m∠CEF=90

16) ∠DEB and ∠AEC are vertical angles. Therefore m∠AEC and m∠DEB are equal. ∠DEB=41

17) ∠DEB and ∠BEF form a right angle together. In question 16 we confirmed that m∠DEB is 41. Therefore m∠BEF is equal to 90-41.

m∠BEF=49

18) In question 15 we confirmed that m∠CEF is 90, and in question 17 we confirmed that m∠BEF is 49. So m∠CEB must be 90+49. m∠CEB=139

19) In question 15 we confirmed that m∠CEF is 90, and the direction states m∠AEC is 41. Therefore m∠AEF is 90+41. m∠AEF=131

20) Vertical angles are congruent. Therefore ∠PQR is the same degree measure as ∠SQT. m∠PQR=109

21) Complementary angles add up to 90. Therefore ∠2+∠3 = 90. And it is given that ∠2=24. Therefore ∠3 = 90-24.  ∠3=66

22) Supplementary angles add up to 180. Therefore ∠K+∠L= 180. And it is given that ∠K=56. Therefore ∠L = 180-56.  ∠L=124

Two rectangular solar panels, A and B, are mathematically similar. Panel A has a diagonal of 90 centimetres and an area of 4020 square centimetres. A 90 cm B 125 cm A salesman claims that panel B, with a diagonal of 125 centimetres, will be double the area of panel A. Is this claim justified?​

Answers

I just need the points gggggggg

What is the (square root of A)*(cube root of A)

Answers

Step-by-step explanation:

[tex] = \sqrt{a} \times \sqrt[3]{a} \\ = {a}^{ \frac{1}{2} } \times {a}^{ \frac{1}{3} } \\ = {a}^{ \frac{1}{3} + \frac{1}{2} } \\ = {a}^{ \frac{5}{6} } [/tex]

I CONVERTED THE TERMS TO BE IN A POWER FORM TO SOLVE THIS EASILY

AND USED THE LAW OF EXPONENT..MULTIPLYING POWERS OF THE SAME BASE WE KEEP ONE BASE AND ADD THE EXPONENTS.

Can someone please help mee (20 points + brainliest!!!)

Answers

Answer:

m = - 1 and b = - 4

Step-by-step explanation:

the equation of a line in slope= intercept form is

y = mx + b (m is the slope and b the y- intercept )

here slope m = - 1 , then

y = - x + b ←  is the partial equation

to find b substitute (- 3, - 1 ) into the partial equation

- 1 = 3 + b ⇒ b = - 1 - 3 = - 4

y = - x - 4 ← equation of line

with m = - 1 and b = - 4

HEY I NEED HELP ASAP CAN YOU HELP? WILL GIVE BRAINLYIST
show your work or explain your reasoning in mathematical terms. Be specific. Draw a picture if you need to.

Question:
Abdul wants to put a rug in a square room that has an area of 775 square feet. He wants to leave a 3-foot border of bare floor on each side. What are the dimensions of the rug rounded to the nearest hundredth?

Answers

The dimensions of the rug which Abdul would use in discuss as described in the task content are; 21.84 ft by 21.84 ft.

What are the dimensions of the rug rounded to the nearest hundredth?

It follows from the task content that the dimensions of the rug which Abdul would use in the room in discuss are to be determined.

Since the room Abdul wants to put a rug on is; 775 ft² and the room is a square room.

It follows that all sides of the room are equal and the length of each side can be determined as;

s = √Area; since Area = s².

s = √775

s = 27.839 ft.

Hence, the dimensions of the room is; 27.839 ft by 27.839 ft.

However, since he wants to leave a 3-foot border of bare floor on each side, it follows that the dimensions of the rug on each axis would be;

= 27.839 - 3 -3 = 21.839 ft on all sides.

Consequently, the dimensions of the rug rounded to the nearest hundredth are; 21.84 ft by 21.84 ft.

Read more on squares;

https://brainly.com/question/813881

#SPJ1

Other Questions
The Punnett square for a sex-linked trait is shown. Xr is the recessive allele. Based on the Punnett square, which statement is true? Female offspring have a 50 percent chance of expressing the recessive trait. Both male offspring will express the recessive trait. Both female offspring will express the recessive trait. Theres a 50 percent chance the male offspring will express the recessive trait. pigs are vulnerable to infection by bird flu virus and human flu virus, both of which can be present in an individual pig at the same time. String Challenge RUBY!!!!Have the function String Challenge (num)take the num parameter being passed andreturn the number of hours and minutes theparameter converts to (ie. if num = 63 then theoutput should be 1:3). Separate the number ofhours and minutes with a colon.ExamplesInput: 126Output: 2:6Input: 45Output: 0:45 please helpsee attached picture Hayley wants to be a marine biologist when she grows up. Her entire room is ocean-themed, so she is painting her bed frame blue to match. She estimates that she will need 800 milliliters of paint, but the hardware store only sells paint in liters. If Hayley buys 1 liter of paint, how many milliliters will she have left? You are getting there, can you tell us more about type of decision making, and who has ownership of task? 2/ 3 is a/an . (check all that applies.) \sqrt{5} 5 is a/an . (check all that applies.) natural number integer rational number real number irrational number How widespread is bilingualism in the world? How is bilingualism a language contact phenomenon? What brings about language contact in different countries? Are some forms of bilingualism more stable than others? The legislation that prohibits federally funded programs from discriminating on the basis of race, color, or national origin. 7. Health experts recommend the average female older than 50 years of age toconsume about 1,800 calories per day. Mrs. Keith has already consumed 950 calories today.She plans to consume the same number of calories per hour forthe next 5 hours..Which inequality represents d, the number of calories Mrs. Keith could eat each hourfor the next 5 hours without exceeding her recommended daily caloric intake? ........................ Stop light A changes color every 45 seconds and Stop light B changes color every 80 seconds. Both Stop lights just changed. After how many seconds will the stoplights change color at the same time? Explain why gases are compressible, but solids and liquids are not. Click here to read and refer to "An Occurrence at Owl Creek Bridge" by Ambrose Bierce in order to answer the questionbelow.Which is an example of an internal conflict from the story?O Peyton daydreams what it would be like to be free.O Peyton wonders if he can swim ashore or not.O Peyton is sorry for setting fire to the bridge.O The lieutenant cannot get his men to shoot Peyton. A salesperson sold a pick-up for $18,760. They were paid a 4.5% commission. How much money were they paid? This table represents function f. If function g is a quadratic function that contains the points and , which statement is true over the interval ? A. The average rates of change of f and g cannot be determined from the given information. B. The average rate of change of f is less than the average rate of change of g. C. The average rate of change of f is the same as the average rate of change of g. D. The average rate of change of f is more than the average rate of change of g. How did conquests in america change Spain? A piece of machinery depreciates at a fixed rate of 12% per year for 7 years. If the machinery is valued at $100,000 after 7 years, how much would the machinery have initially cost rounded to the nearest dollar?a.$113,636d.$45,235b.$40,868e.$244,692.86c.$244,693 Which of these is TRUE?A. DNA must unwind before it can replicate.B. Ribosomes control DNA replication.C. DNA replication occurs outside the nucleus.D. DNA replication only occurs once per day. What is the most likely meaning of exercise in the following sentence? If you participate in a peaceful protest, you exercise the right to have freedom of speech. A. risk B. ensure C. understand D. put into practice