I'M GIVING BRAINLIEST TO WHOEVER ANSWERS FIRST!!! NO LINKS >:(

Find the number of students at the middle school if the elementary school has 380 students: The middle school has 24 students less than 3 times the number of students at one of the elementary schools.

Answers

Answer 1

Answer:

1116

Step-by-step explanation:

3*380 = 1140

1140 - 24 = 1116


Related Questions


[tex] \sqrt[3]{625} [/tex]
how would I simplify this without decimals & show work?

Answers

Answer:

[tex]5\sqrt[3]{5}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{625}[/tex] factor [tex]625^{1/3}[/tex]=[tex]5(5^{1/3} )[/tex]=5\sqrt[3]{5}

Hope that helps :)

The seesaw moves and the angle created by the left side of the seating board and the central support is now 80 degrees. Create and use a model, to find the distance from point Q to the ground when the angle created by the left side of the seating board and the central support is 80 degrees. Show your work or explain your answer. Round your final answer to the nearest tenth of a foot. Enter your model, your answer, and your work or explanations in the space provided. ​

Answers

Answer:5.7

Step-by-step explanation:

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between the point Q and the ground is h-[L cos(80°)].

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The Base is the adjacent smaller side of the angle θ.

Let the height of the support be h and the height between the point q and the ground is x. Also, the distance between point Q and the support of the seesaw is L.

Now if we look at the ΔQAR, the measure of the ∠QRA is 80°, therefore, the sine of ∠QRA can be written as,

[tex]\rm Cos(\theta)=\dfrac{Base}{Perpendicular}\\\\Cos(\angle QRA) = \dfrac{AR}{QR}\\\\Cos(\angle QRA) = \dfrac{h-x}{L}\\\\L \times Cos(80^o)=h-x\\\\x=h-[L\ Cos(80^o)][/tex]

Hence, the distance between the point Q and the ground is h-[L cos(80°)].

Learn more about Tangent (Tanθ):

https://brainly.com/question/10623976

Find the slope And y-intercept

Answers

Answer:

Answer is (a)

Step-by-step explanation:

Well I didn’t really do any work but you can tell right away theres a ton of slope options so you can’t eliminate from there, BUT when you look at the y-intercept, 3 is the only y-intercept option here and the only choice with the y-intercept of 3 is (a).

If 5.90 × 1.8 = 10.62, what does 106.2 ÷ 59 equal?

Answers

Answer:

1.8

Step-by-step explanation:

- hope this helps!!

Help Me Please Quick Will Mark Brainliest if correct : - )

Answers

Answer:

y=2x+3

Step-by-step explanation:

Lets verify

[tex]\\ \sf\longmapsto -1=2(-2)+3=-4+3=-1[/tex]

[tex]\\ \sf\longmapsto 1=2(-1)+3=-2+4=1[/tex]

Hence verified

Answer:

C): y = 2x + 3

Step-by-step explanation:

• when x is -2:

[tex]{ \tt{y = 2(- 2) + 3}} \\ { \tt{y = - 1}}[/tex]

• when x is -1:

[tex]{ \tt{y = 2( - 1) + 3}} \\ { \tt{y = 1}}[/tex]

• since y holds for -2 and -1, it'll hold for other positive integers.

Can someone plz help me

Answers

Answer:

73.12 m2

Step-by-step explanation:

determine triangle area.

8x12=96   96/2=48

determine area of half circle

diameter=8

radius=4

4π²/2=25.1327412287

add two areas together.

48+25.1327412287=73.1327412287

round the nearest hundredth

73.1327412287=73.12 m2

can someone help me complete this???

Answers

Answer:

Part A

750, 2250, 6750, 20250, 60750

Part B

1640250

please help !! A golf ball is hit into the air from a platform located 6 meters above the ground. The graph represents the height above the ground of the golf ball as a function of time.

Part A: What is the maximum height, in meters, the golf ball reaches before hitting the ground? (blank) meters

Part B:Which of the following statements describe the golf ball? Select TWO that apply.

A.)At 0 seconds, the golf ball is on the ground.

B.)The golf ball is in the air for a total of 4 seconds.

C.)The golf ball is at a height of 6 feet 2 seconds after it was hit.

D.)Between 1 and 3 seconds, the ball is falling towards the ground.

Answers

Answer:

Part A: 8 meters

Part B: B, D

Step-by-step explanation:

What is the slope of the line passing through the points (-9,-3) and (7,-7)

Answers

Answer:

The slope is [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]\frac{Y_{2} -Y_{1} }{X_{2}-X_{1} }[/tex]

-7-(-3)= -7+3= 4

4/?

7-(-9)= 7+9 = 16

4/16=1/4

I hope this helps :-)

What is the width of the terrace?

Answers

Answer:

12 feet or 4 feet.......

The Mavericks football team was losing when they got
control of the ball at midfield in the last minute of a game.
They lost 17 yards on the first play they ran. Then they
gained 3 yards on the second play. On the third play, the
Mavericks lost 21 yards, and on the fourth play, they lost
8 yards. What was the position of the ball relative to its
starting point after those four plays?
A 33 yd
B -50 yd
C 9 yd
D- 43 yd

Pls help I’m doing a renaissance test

Answers

Answer:

-43 yards is the answer...

3.
Mrs Rita buys 6 cartons of soya bean milk. Each carton contains 1.251
of soya bean milk. Does Mrs Rita have enough soya bean milk to fill up
20 mugs with a capacity of 320 ml each? Explain.​

Answers

Yes, it is possible to fill all twenty mugs.

Please help with these questions... I've been trying to figure them out for like twenty minutes and at this point I just don't have the energy anymore... I will pick brainliest! Always do...

Answers

Answer:

1. y=2x^2-8X-1

2. y=-6x^2+36x-63

3. y=-3x^2+18x-34

4. y=9x^2+54x+76

5. y=-x^2+8x-22

6. y=6x^2-48x+90

7. y=8x^2+16x+5

8. y=2x^2-8x+1

Have a great day :)

Can someone please tell me if I’m correct, quick

Answers

Answer: I believe your answer is correct .

Answer:

yes i belive  u got it right

Step-by-step explanation:

Solve for X, assume that all segmented that appear to be tangent are tangent.

Answers

Answer:

Step-by-step explanation:

x = 9

Please help me to finish the table! D:

Answers

Answer: 32, 27, 20

Step-by-step explanation: This is a quadratic table.

A binomial experiment consists of 12 trials. The probability of success on trial 5 is 0.16. What is the probability of success on trial 9?
A. 0.1
B. 0.18
C. 0.33
D. 0.25
E. 0.16
F. 0.68

Answers

A binomial experiment consists of 12 trials. The probability of success on trial 5 is 0.16. The probability of success on trial 9 is 0.16.

In a binomial experiment, there are two outcomes that are possible in each trial: a success and a failure.

A binomial experiment consists of a fixed number of trials.

The term "probability" refers to the measure of how likely an event is to happen.

The probability of success on trial 5 is 0.16.

We are required to calculate the probability of success on trial 9.

Since the experiment consists of a fixed number of trials, we can say that probability of success in each trial is the same.

Let us assume the probability of success is p.

Therefore, the probability of failure in each trial is (1-p).

The probability of success on trial 5 is 0.16.

Therefore, p = 0.16.

The probability of failure on trial 5 is

1-p = 1-0.16

1-p = 0.84

The probability of success on trial 9 is given by:

P(success on trial 9) = p

P(success on trial 9) = 0.16.

Therefore, the probability of success on trial 9 is 0.16, which is option E.

To know more about binomial experiment, visit:

https://brainly.com/question/30888365

#SPJ11

what is the greatest common factor of 20 and 50

Answers

Answer:

the answer is  10

Step-by-step explanation:

Answer: 10

Why? Because 10x5=50 and then 10x2=20 ten can be used for both of them! Hope this helps^^ please give me brainlist if you could but you don’t have too!^^

Which value of r indicates a stronger correlation:r = 0.818 or r= -0.926? Explain your reasoning. Choose the correct answer below. O A. r= -0.926 represents a stronger correlation because 0.818 > -0.926. O B. r=0.818 represents a stronger correlation because | -0.926) > 10.818). OC. r= -0.926 represents a stronger correlation because | -0.926) > 10.818|- OD. r=0.818 represents a stronger correlation because 0.818 > -0.926.

Answers

Hence, option D is the correct answer to the given question.

The correct answer to the given question is the option D. i.e r=0.818 represents a stronger correlation because 0.818 > -0.926. Explanation: The strength of the correlation can be determined by the magnitude of the correlation coefficient. The correlation coefficient values vary between -1 to 1. If the value of correlation coefficient is close to -1 or 1, it indicates strong correlation. On the other hand, if the value of correlation coefficient is close to 0, it indicates a weak correlation.A correlation coefficient value of -0.926 indicates a strong negative correlation. A correlation coefficient value of 0.818 indicates a strong positive correlation. Hence, option D is the correct answer to the given question.

To know more about correlation,

https://brainly.com/question/28175782

#SPJ11

An unknown radioactive element decays into non-radioactive substances. In 560 days the radioactivity of a sample decreases by 36 percent.

(a) What is the half-life of the element?
half-life:

(b) How long will it take for a sample of 100 mg to decay to 55 mg?
time needed:

Answers

After taking the given data into consideration we conclude that
a) the half-life of the unknown radioactive element is approximately 1921.7 days.
b) approximately 1011.4 days, or about 2.77 years, for a sample of 100 mg to decay to 55 mg.

(a) The half-life of a radioactive element is the time needed for half of the material to decay. To find the half-life of the unknown radioactive element, we can use the fact that in 560 days, the radioactivity of a sample decreases by 36 percent. Let T be the half-life of the element. Then, we have:
[tex]0.5 = (1 - 0.36)^{(560/T)}[/tex]
Simplifying this equation, we get:
[tex]0.5 = 0.64^{(560/T)}[/tex]
Taking the natural logarithm of both sides, we get:
[tex]ln(0.5) = ln(0.64)^{(560/T)}[/tex]
[tex]ln(0.5) = (560/T) * ln(0.64)[/tex]
Solving for T, we get:
[tex]T = -560 / (ln(0.64) * ln(0.5))[/tex]
[tex]T \approx 1921.7 days[/tex]

(b) To find how long it will take for a sample of 100 mg to decay to 55 mg, we can use the half-life formula:
[tex]N = N_0 * (1/2)^{(t/T)}[/tex]
where:
N is the final amount, which is 55 mg in this case
[tex]N_0[/tex] is the initial amount, which is 100 mg in this case
t is the time it takes for the sample to decay from [tex]N_0[/tex] to N
T is the half-life of the element, which we found to be approximately 1921.7 days
Substituting the values, we get:
[tex]55 = 100 * (1/2)^{(t/1921.7)}[/tex]
Simplifying this equation, we get:
[tex]0.55 = (1/2)^{(t/1921.7)}[/tex]
Taking the natural logarithm of both sides, we get:
[tex]ln(0.55) = (t/1921.7) * ln(1/2)[/tex]
Solving for t, we get:
[tex]t = -1921.7 * ln(0.55) / ln(1/2)[/tex]
[tex]t \approx 1011.4 days[/tex]
To learn more about half-life
https://brainly.com/question/1160651
#SPJ4

I’m not an expert at simplifying, so I need help

Answers

Answer: it's  1 1/2

please give me brainlest

solve the following recurrence relations:
a) an=an-1+3(n-1), a0=1
b) an=an-1+n(n-1), a0=3
c) an=an-1+3n^2, a0=10

Answers

a) To solve the recurrence relation an = an-1 + 3(n-1), a0 = 1, we can expand the recurrence relation iteratively.

a1 = a0 + 3(1-1) = 1 + 0 = 1

a2 = a1 + 3(2-1) = 1 + 3 = 4

a3 = a2 + 3(3-1) = 4 + 6 = 10

a4 = a3 + 3(4-1) = 10 + 9 = 19

...

We can observe a pattern from the values:

a0 = 1

a1 = 1

a2 = 4

a3 = 10

a4 = 19

We can notice that an = [tex]n^2 + 1.[/tex] We can prove this by induction, but in this case, we can also recognize that the given recurrence relation generates the triangular numbers (1, 3, 6, 10, 15, ...), which are defined by the formula Tn = n(n+1)/2.

Thus, the solution to the recurrence relation is an = [tex]n^2 + 1.[/tex]

b) For the recurrence relation an = an-1 + n(n-1), a0 = 3, we can again expand it iteratively:

a1 = a0 + 1(1-1) = 3 + 0 = 3

a2 = a1 + 2(2-1) = 3 + 2 = 5

a3 = a2 + 3(3-1) = 5 + 6 = 11

a4 = a3 + 4(4-1) = 11 + 12 = 23

...

Observing the values, we can notice that an =[tex]n(n^2 + 1).[/tex]

Thus, the solution to the recurrence relation is an = [tex]n(n^2 + 1).[/tex]

c) For the recurrence relation an = an-1 +[tex]3n^2[/tex], a0 = 10, we expand it iteratively:

a1 = a0 + [tex]3(1^2)[/tex] = 10 + 3 = 13

a2 = a1 + [tex]3(2^2) =[/tex] 13 + 12 = 25

a3 = a2 + [tex]3(3^2)[/tex]= 25 + 27 = 52

a4 = a3 + [tex]3(4^2)[/tex]= 52 + 48 = 100

...

We can notice that an = [tex]n^3 + 10.[/tex]

Thus, the solution to the recurrence relation is an = [tex]n^3 + 10.[/tex]

These are the solutions to the given recurrence relations.

Learn more about recurrence relation here:

https://brainly.com/question/4082048

#SPJ11

Please help me with this questions please please ASAP ASAP please ASAP help please please ASAP please I'm begging you please please ASAP

Answers

Answer:

Question 3: 8000

Question 4: 300

Answer:

3. 8,000

4. 300

Step-by-step explanation:

3.

2/5 * 20,000 = 2 * 20,000/5 = 2 * 4,000 = 8,000

Answer: 8,000

4.

Use a proportion.

10/2 = x/60

5/1 = x/60

x = 5 * 60

x = 300

Answer: 300

Choose the correct definition. Group of answer choices Sensitivity refers to the probability that a test correctly classifies as positive individuals who have preclinical disease. Sensitivity refers to the probability that a test correctly classifies individuals without preclinical disease as negative Specificity refers to the probability that a test correctly classifies individuals with preclinical disease as positive Specificity refers to the probability that a test correctly classifies as positive individuals who have preclinical disease.

Answers

Answer:

the probability that a test correctly classifies as positive individuals who have preclinical disease

Step-by-step explanation:

Sensitivity represents the true positive percentage

Lets take an example if there is 90% sensitivity that means there are 90% people who have the target disease considered the test positive

So according to the given options, it is the probability in which if the test is done in a correct manner so this means that the positive individuals have the preclinical disease

Therefore the first option is correct

Recall the following definition of an Geometric Sequence. A sequence do, 21, 22, ... is called an geometric sequence if, and only if there is a constant r such that ak = r.24-1 where k> 1. Also recall that we "claimed" the explicit formula for the nth term of the geometric sequence is given by an = no pot where n > 0. Use mathematical induction to prove that our claim is true.

Answers

To prove that the explicit formula for the nth term of a geometric sequence is given by an = a₀.rⁿ, we will use mathematical induction. Mathematical induction is a proof technique used to establish a statement or property for all natural numbers or integers greater than or equal to a starting value.

Step 1: Base Case

For n = 0, the formula gives a₀.r⁰ = a₀, which is the first term of the sequence. So, the formula holds true for the initial value.

Step 2: Inductive Hypothesis

Assume that the formula holds for some arbitrary value k, i.e., ak = a₀.rᵏ.

Step 3: Inductive Step

We need to prove that the formula also holds for k+1, i.e., a(k+1) = a₀.r^(k+1).

Using the definition of a geometric sequence, we have:

a(k+1) = r.aₖ

Now substitute the inductive hypothesis into the above equation:

a(k+1) = r.(a₀.rᵏ) = (r.a₀).rᵏ = a₀.r^(k+1)

Therefore, we have shown that if the formula holds for k, then it also holds for k+1.

Step 4: Conclusion

By the principle of mathematical induction, the explicit formula for the nth term of a geometric sequence, given by an = a₀.rⁿ, is true for all non-negative integers n.

Thus, we have proved the claim using mathematical induction.

The question should be:

Recall the following definition of an Geometric Sequence.

A sequence a₀, a₁, a₂, ... is called an geometric sequence if, and only if there is a constant r such that

ak = r.a_k_-1 where k≥ 1.

Also recall that we "claimed" the explicit formula for the nth term of the geometric sequence is given by

an = a₀.rⁿ  where n≥ 0. Use mathematical induction to prove that our claim is true.

To learn more about mathematical induction: https://brainly.com/question/29503103

#SPJ11

Find an expression of a(t) if 8t (b) (2 points) If A(4) = 30, find A(2). 1+ t2

Answers

The expression for a(t) is 8(1-t)/(1+t)² and A(2) = -8/9.

What is the expression of a(t)?

An expression is a combination of numbers, variables, and operations. Expressions can be used to represent quantities, relationships, and functions. While there are different types of expression such as arithmetic expression, algebraic expression and function, this as an algebraic expression.

To determine the expression that represents a(t); we have to factor the expression 8t/(1+t²).

8t/(1+t²) = 8t/(1+t)(1-t)

Dividing by 1 - t

a(t) = 8t/(1+t)

Simplifying further;

a(t) = 8(1-t)/(1+t)²

To solve for A(2), we need to plug t = 2 into the expression;

A(2) = 8(1-2)/(1+2)²

A(2) = -8/9

Learn more on expression here;

https://brainly.com/question/28036586

#SPJ1

A bathtub in the shape of A rectangular prism is 20 meters long 10 meters wide and 2 meters deep how much water can the bathtub hold

Answers

Answer:

Topic : CIRCLE

1. Capture/ cut outs pictures that represents a Circle then paste it in a long band paper.

2. Make a reflection in CERA form

C-Content (min. 5sentence)

E- experience(min. 5 sen.)

R-reflection (min.5 sent.)

A- Application (min.5

A 2-g antibiotic vial stales "Reconstitute with 8.6 mL of sterile water for a final volume of 10 ml.* What is the concentration of the vial after reconstitution?

A. 2 g/8.6 mL

B. 232.6 mg/mL

C. 0.234 mg/mL

D. 200 mg/mL

Answers

The correct answer is option B. 232.6 mg/mL which is the concentration of the vial after reconstitution.

To determine that 232.6 mg/mL is the concentration of the antibiotic vial after reconstitution, we need to calculate the amount of antibiotic in grams divided by the final volume in milliliters.

The vial states that it needs to be reconstituted with 8.6 mL of sterile water for a final volume of 10 mL. This means that the antibiotic will be dissolved in 8.6 mL of sterile water.

Since the vial contains 2 grams of antibiotic, the concentration can be calculated as follows:

Concentration = Amount of antibiotic (g) / Final volume (mL)

Concentration = 2 g / 8.6 mL

Simplifying the expression, we get:

Concentration ≈ 0.2326 g/mL

Therefore, the correct option is B) 232.6 mg/mL, the concentration of the vial after reconstitution.

To know more about concentration refer here:

https://brainly.com/question/30548784#

#SPJ11

Which expression is equivalent to 7(a+2) when a= 6?
O 7(6)
916)
0 7(6)+2
7(6)+ 14

Answers

Answer:

when a = 6, substitute 6 in the equation for a:

7(a + 2) = 7(6)+ 14

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

When a = 6

7(a+2)

7(6+2)

7(8)

56


The desired accumulated is $150,000 after 6 years invested in an
account with 2% interest compounded quarterly.
The amount to be invested now, or the present value needed, is
$__. Round to the nearest

Answers

The present value needed to accumulate $150,000 after 6 years with a 2% interest rate compounded quarterly is $131,488

To calculate the present value needed to accumulate $150,000 after 6 years with a 2% interest rate compounded quarterly, we can use the formula for compound interest:

Present Value = Future Value / (1 + r/n)^(n*t)

Where:

Future Value = $150,000

Interest Rate (r) = 2% = 0.02 (converted to decimal)

Number of Compounding Periods per Year (n) = 4 (quarterly compounding)

Number of Years (t) = 6

Substituting these values into the formula, we have:

Present Value = $150,000 / (1 + 0.02/4)^(4*6)

Calculating inside the parentheses first:

Present Value = $150,000 / (1 + 0.005)^(24)

Next, calculate the exponent:

Present Value = $150,000 / (1.005)^(24)

Using a calculator or spreadsheet, we can evaluate the expression inside the parentheses and then divide $150,000 by that result to find the present value. Rounding to the nearest dollar, the present value needed is $131,488.

Therefore, the amount to be invested now or the present value needed is $131,488.

To know more about present value refer here:

https://brainly.com/question/28304447

#SPJ11

Other Questions
IBNEED HELP ASAP NO BULL I NEED ACTUAL HELP Whats the butterfly effect?Have an amazing Day!! Introduction to Database: Tutorial10 ofNameNancyDate of Birth Age Blood Type9/17/9717 o positive10/23/97 17 A positiveHobbyTalent Show Registration Unique IDdrawing and painting, music YesA_001reading, creative writing YesA_002WilliamPhilip2/22/9718B positiveYesA_003Jean7/25/9717NoA_004playing guitarsportsGeorge7/29/9816YesA_005Allan8/16/9717YesO positiveA negativeO positiveo positiveo negativeAB positivecomputer gamessportsA_006A_00717NoRoger 12/11/97Kimberly 5/12/9816YesA_008Anne6/10/9717YesA_009video gameswatching TVreading fictionlistening to musicWilliam5/22/9816O positiveYesA_0010Diane3/24/9717A positiveYesA_0011Part AWhat are the field names in the database? Explain what data type is appropriate for each field.B I y X.Font SizesAA= = Several factors are involved in the creation of a confidence interval. Among them are the sample size, the level of confidence, and the margin of error. Which statements are true?a) For a given sample size, higher confidence means a smaller margin of error.This statement is _____b) For a specified confidence level, larger samples provide smaller margins of error.This statement is _____c) For a fixed margin of error, larger samples provide greater confidence.This statement is _____d) For a given confidence level, halving the margin of errors requires a sample size twice as large.This statement is _____ Which statement would MOST likely be made by a Quaker abolitionist in the build- up to the Civil War? which statement best expresses a them in the story for the bet Which command can be used to provide a long listing for each file in a certain directory? A. ls -T B. ls -l C. ls -F D. ls -L Is the expression 3^2/3^3 equivalent to 3^3/3^2explain. how do u say "i know now" in arabic? thanks if u answered draw a hypothetical demand curve for tickets to a particular rock concert. use the drop box to upload an image or file containing your demand curve. when kylie wonders if he made the right decision to eat fruit instead of candy, what is he most likely doing? Suppose a consumer has preferences represented by the utility function U(X,Y) = X2Y. Therefore, MUX = 2XY and MUY= X2. Suppose PY = 1, and the consumer has $360 to spend. Draw the Price-Consumption Curve for this consumer for the prices of PX = 1, PX = 2, and PX = 5. Your graph should accurately draw the budget constraints for each of the prices for good X and specifically label the bundles that the consumer chooses at each price. Also, for each bundle that the consumer chooses, draw the indifference curve that goes through that bundle. Make sure to label your graph carefully and accurately. Consider the rivalry between Airbus and Boeing to develop a new commercial jet aircraft. Suppose Boeing is ahead in the development process and Airbus is considering whether to enter the competition. If Airbus stays out, it earns zero profit, whereas Boeing enjoys a monopoly and earns a profit of $1 billion. If Airbus decides to enter and develop the rival airplane, then Boeing has to decide whether to accommodate Airbus peacefully or to wage a price war. In the event of peaceful competition, each firm will make a profit of $300 million. If there is a price war, each will lose $100 million because the prices of airplanes will fall so low that neither firm will be able to recoup its development cost. a. Draw the game in normal form and find the Nash Equilibrium. b. Draw the game tree for this game. Identify the equilibrium path on the game tree. Find the Subgame Perfect Nash Equilibrium. c. Is there any Nash equilibrium that is not sensible? Explain your answer. What is the other measure of the other acute angle? Pls explain how you got your answer ! Chimneys don't get smoke in the house because of...?Choices:-----------------------------------------A. Archimedes's PrincipleB. Bernoulli's PrincipleC. Pascal's PrincipleD. hydraulics Why was slavery important to the economy in the south before the Civil war? A carbon resistor is 8 mm long and has a constant cross section of 0.3 mm2. The conductivity of carbon at room temperature is = 3 104 per ohmm. In a circuit its potential at one end of the resistor is 15 volts relative to ground, and at the other end the potential is 21 volts. A thin copper wire in the same circuit is 8 mm long and has a constant cross section of 0.3 mm2. The conductivity of copper at room temperature is = 6 107 ohm-1m-1. The copper wire is in series with the carbon resistor in the same circuit mentioned above, with one end connected to the 21 volt end of the carbon resistor. Calculate the resistance R of the copper wire and the potential Vat end at the other end of the wire.R =___ ohmsV at end = ____VYou can see that for most purposes a thick copper wire in a circuit would have practically a uniform potential. This is because the small drift speed in a thick, high-conductivity copper wire requires only a very small electric field, and the integral of this very small field creates a very small potential difference along the wire. How have computers changed people's ability to access information?O A. Because there is so much information available, people need towait longer to download it onto their devices.O B. People can access information about almost any topic throughtheir devices instead of asking someoneC. Because devices are small people are accessing less informationthan they did in the past.D. People can access a limited amount of information on theirdevices, but most information needs to be researched at a library F is a function that describes a sequence and is therefore defined over the positiveintegers. Find the first four terms of the sequence.f(n) = 100(-0.1)n-1f(0) = -1000, f(1) = 100, f (2) = -10, f(3) = 1f(1) = -10, f (2) = 1, f (3) = -0.1, f (4) = 0.01 f(1) = 100, f (2) = 10 f(3) = 1, f (4) = 0.1f(1) = 100, f (2) = -10, f(3) = 1, f (4) = -0.1 A solid wooden cone of a diameter 14 cm and vertical length 24 cm is vertically cut into two equal halves. One half is to be covered by colourful paper at the rate of Rs. 7 per sq. cm, find the total cost of the paper required. (The answer must come Rs. 5950) plz anyone ASAP help.