WILL GIVE BRAINLIEST IF ANSWERED WELL!!!

WILL GIVE BRAINLIEST IF ANSWERED WELL!!!

Answers

Answer 1

Answer:

S / 2πh

Explanation:

2πrh are all multiplied together to make S, so in order to isolate the r, we need to divide (the opposite operation of multiplication) 2πh from both sides.


Related Questions

I need help with 18 and 22. With a full explanation please.

Answers

The answer of 18 is y = 0.5x + 0

The answer of 22 is y =  -0.4x + 0

Step-by-step explanation:

c is constant, m is gradient

18. m = 1/2

     m = 0.5

     1 = 0.5(2) + c

     1 = 1 + c

     c = 0

     y = 0.5x + 0

22. m = 2/-5

      m = -0.4

      2 = -0.4(-5) + c

      2 = 2 + c

      c = 0

      y = -0.4x + 0

Harry tosses a nickel 4 times. The probability that he gets at least as many heads as tails is.

Answers

The probability that he gets at least as many heads as tails is half or 50%.

What is the formula for probability?

Probability is obtained by dividing the number of chances that it will take to realize a result by the number of total possible chances. To get the right probability for the question asked here, we need to determine:

The number of chances is equal to 4.

The total number of possible chances is given by the equation:

4 × 2 = 8

Two is obtained by recognizing the fact that there are two sides to the coin. So, he could either get a head or a tail when he tosses the nickel.

Therefore;

4/8 = 1/2 or 50%

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Write the following solution in interval notation:
x≥-3

Answers

Answer:

[-3,∞)

Step-by-step explanation:

Since x is on the left side and is greater than -3, we will use a bracket in front of the -3. Since we do not know when the interval ends, we finish it with a positive infinity because we know that x is GREATER than (or equal) to -3. If it were less than -3, it would be negative infinity. Similarly, we use a rounded bracket because infinity is a positive value greater than -3.

Teresa ran a 20-mile marathon. Her average speed was 5 miles per hour. Approximately how long did it take her to finish the race?

Answers

Answer:4 hours

Step-by-step explanation:

You have to figure out what times 5 would equal 20.

5x=20

5(4)=20

because 5*4=20, the answer is 4

question what is an expression equivalent to 6(24) using the distributive property? drag and drop the appropriate number into each box.

Answers

The following can be used to rewrite the provided expression:            6(24) = 6(20 + 4).

What in mathematics is a distributive property?

The distributive Property states in that it is necessary to multiply every one of the two numbers by the factor before performing the addition operation when a factor is multiplied by that of the sum or addition of two terms. The distributive law, which states that in elementary algebra, equality is always true, is generalized by the distributive principle of binary operations.

According to the given data:

The following generic form can be used to specify the distribution property:

a(b+c) = ab + bc

the following expression:

6(24)

We can observe the following by contrasting this to the general form:

a = 6

b + c = 24

Consequently, we must identify two integers from the options whose sum is 24.

These numbers, out of the options provided, are 20 and 4.

The following can be used to rewrite the provided expression:            6(24) = 6(20 + 4).

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Find the solution to the differential equation dzdt=7te7z that passes through the origin.

Answers

The answer is [tex]z &=-0.14\left[\ln \left(1-24.5 t^2\right)\right]\end{aligned}$$[/tex]

What do you understand by differential equation?

An ordinary derivative or a partial derivative can both be found in a differential equation. The differential equation describes the relationship between the variable that is constantly varying with respect to the change in another quantity, and the derivative represents a rate of change.

Equations with General Differential. Consider the differential equation y′=3x2, which has a derivative and is an illustration of a differential equation. The variables x and y are related because y is an unidentified function of x. The derivative of y is also on the equation's left-hand side.

Given equation:

[tex]$$\begin{aligned}&e^{-7 z} d z=7 t d t \\&:(-1 / 7) e^{-7 z}=3.5 t^2+C\end{aligned}$$[/tex]

[tex]$C=-1 / 7$[/tex]

[tex]$$(-1 / 7) e^{-7 z}=3.5 t^2-1 / 7$$[/tex]

[tex]$$e^{-7 z}=1-24.5 t^2$$[/tex]

[tex]$$\begin{aligned}-7 z &=\ln \left(1-24.5 t^2\right) \\z &=-0.14\left[\ln \left(1-24.5 t^2\right)\right]\end{aligned}$$[/tex]

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PLSSS HELP IF YOU TURLY KNOW THISS

Answers

On simplifying  the given expression the no. that goes in green box is -7

The rule of addition of two numbers

(+) (+) = (+)

adding two positive integers result in positive integer.

(-)(-) = (+)

adding two negative integers results in the sum with a negative sign.

(+)(-) = (-) (-)(+) = (-)

addition of two different signed Integer will result in subtraction only and the sign of the result is same as the larger number sign.

so

2 + 16x - 9 - 10x

6x + [-7]                   HERE [ 2 + (-9) = -7 ]

On simplifying  the given expression the no. that goes in green box is -7

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Under her cell phone plan, Ximena pays a flat cost of $44.50 per month and $4 per
gigabyte. She wants to keep her bill at $50.10 per month. How many gigabytes of data
can she use while staying within her budget?

Answers

If Ximena pays a flat cost of $44.50 per month and $4 per gigabyte and she wants to keep her bill at $50.10 per month, then she can use 1.4 gigabyte of data while staying within her budget.

Given,

The flat cost of cell phone plan = $44.50 per month

Cost per gigabyte =$4

She wants to keep her bill amount = $50.10

Consider the number of gigabyte used as x

Then the linear inequality will become

44.50+4x≤50.10

4x≤50.10-44.50

4x≤5.6

x≤1.4

Hence, If Ximena pays a flat cost of $44.50 per month and $4 per gigabyte and she wants to keep her bill at $50.10 per month, then she can use 1.4 gigabyte of data while staying within her budget

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machine a, working alone at its constant rate, produces x pounds of peanut butter in 12 minutes. machine b, working alone at its constant rate, produces x pounds of peanut butter in 18 minutes. how many minutes will it take machines a and b, working simultaneously at their respective constant rates, to produce x pounds of peanut butter?

Answers

The total time taken by machine A and B working together to produce x amount of peanut butter is 7.2 minutes.

What is the concept of time and work?

Time and work defines the way how the particular work is done in the given time. It gives an exact relationship between the work and the number of days required to complete it.

Calculation of the total time taken by the machines A and B working together

Given that Machine A completes the entire job in 12 minutes.

So, machine A completes 1/12 of the job in one minute.

Machine B takes 18 minutes to complete the entire job.

So, machine B completes 1/18 of the job in one minute

When we combine their work, they will complete (1 / 12 + 1 / 18) job in one minute i.e.  (3 + 2) / 36 = 5/36 job in one minute     —---- 1

To find the time taketaken by them to produce x amount of peanut butter, we will reciprocate the result obtained in equation 1

i.e. 36 / 5 minutes to complete the entire job

i.e. 7.2 minutes

Hence, the time taken by machine A and B working together to produce x amount of peanut butter is 7.2 minutes.

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Part 1 of 2 Question content area top Part 1 A bee flies at 12 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 13 ​minutes, and then flies directly back to the hive at 8 feet per second. It is away from the hive for a total of 15 minutes. a. What equation can you use to find the distance of the flowerbed from the​ hive? b. How far is the flowerbed from the​ hive?

Answers

It should be 3/7 and 3 4ths of a whol and I have no idea

from a random sample of workers at a large corporation you find that 58% of 200 went on a vacation last year away from home for at least a week.

Answers

Option D is the correct answer (We are 95% confident that the proportion of coworkers who went on a vacation last year away from home for at least a week is between 50% and 66%)

Since the confidence interval is calculated for population proportion (parameter) based on sample data.

What is a confidence interval?

Because the figure is based on a sample of the population you are investigating; there is always uncertainty when you generate an estimate in statistics, whether it be a summary statistic or a test statistic. The confidence interval is the range of values. If you repeated your experiment or resampled the population in the same manner, you would anticipate your estimate to fall within a specific proportion of the time. The alpha value determines the confidence level, the proportion of times you anticipate being able to recreate an estimate between the top and lower boundaries of the confidence interval.

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Jarome is making pizza. He uses 2 1/2 cups of cheese for
every 2 3/4 pizzas. He has 6 1/4 cups of cheese left in the
bag. How many pizza pies can he make with the leftover
cheese?

Answers

he can make 6 pizzas with the leftover cheese

Jarome can make 6 whole pizzas with the leftover cheese.

Given that Jarome uses 2 1/2 cups of cheese for every 2 3/4 pizzas. He has 6 1/4 cups of cheese left in the bag.

We need to determine the number of pizza pies can he make with the leftover cheese.

To find out how many pizza pies Jarome can make with the leftover cheese, we need to determine how many sets of 2 3/4 pizzas can be made using 6 1/4 cups of cheese.

Let's start by finding the number of sets of 2 3/4 pizzas that can be made from 6 1/4 cups of cheese:

Number of sets = Total cheese available / Cheese per set

Number of sets = 6 1/4 cups / 2 1/2 cups per set

To make the calculation easier, let's convert all the mixed numbers to improper fractions:

6 1/4 cups = (4 x 6 + 1) / 4 = 25/4 cups

2 1/2 cups = (2 x 2 + 1) / 2 = 5/2 cups

Number of sets = (25/4) / (5/2)

Now, to divide fractions, we invert the divisor (5/2) and multiply:

Number of sets = (25/4) x (2/5)

= (25 x 2) / (4 x 5)

= 50/20

= 5/2

So, Jarome can make 5/2 sets of 2 3/4 pizzas with 6 1/4 cups of cheese.

Now, let's see how many pizzas he can make with the leftover cheese:

To calculate the number of pizzas in 5/2 sets, we multiply it by the number of pizzas per set (2 3/4 pizzas):

Number of pizzas = (5/2) x (2 3/4)

Again, let's convert all the mixed numbers to improper fractions:

2 3/4 pizzas = (4 x 2 + 3) / 4 = 11/4 pizzas

Number of pizzas = (5/2) x (11/4)

Now, when multiplying fractions, we simply multiply the numerators together and the denominators together:

Number of pizzas = (5 x 11) / (2 x 4) = 55/8

So, Jarome can make 55/8 pizzas with the leftover 6 1/4 cups of cheese.

Now, let's simplify the fraction:

55/8 = 6 7/8

Therefore, Jarome can make 6 7/8 pizzas with the leftover 6 1/4 cups of cheese.

Since we can't make a fraction of a pizza, he can make 6 whole pizzas with some cheese left over.

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What is the appropriate analysis to use when there are two independent variables that are measured and one dependent variable that is measured?

Answers

If there are two independent variables that are measured and one dependent variable that is measured, then the multiple regression method will use

Given,

The conditions

There are two independent variablesThe two independent variables are measured and one dependent variable that is measured

We know

In multiple regression method the dependent variables are predicted by using the known independent variables. This method is usually used to analyze the relationship between multiple independent variables and one independent variables,

So here multiple regression method is using.

Hence, if there are two independent variables that are measured and one dependent variable that is measured, then the multiple regression method will use

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6 time the complement of an
angle is 44° less than 2 times its supplement. Find all angles

Answers

The value are-

original angle = 34°complement angle = 56°supplement angle = 146°What are defined as the complement and supplement angle?If a sum of two angles is 180 degrees, they are referred to as supplementary angles because they form a linear angle when combined. If a sum of two angles is 90 degrees, they are termed to be complementary angles because they form a right angle when combined.

Now, for the given question.

Let the given angle be 'x'.

Then, the complement of the angle will be: 90 - x.

6 times the complement = 6(90 - x)

6 times the complement is 44 less; 6(90 - x) - 44.

Now, the supplement of the angle is; 180 - x.

Two time the supplement = 2(180 - x)

The equation will form as;

2(180 - x) = 6(90 - x) - 44

360 - 2x = 540 - 360 - 44

Simplifying the equation;

x = 34.

Thus, the original angle is 34°.

complement angle = 90 - x

= 90 - 34

= 56°

Thus, complement angle = 56°

supplement angle = 180 - x

= 180 - 34

= 146

supplement angle = 146°

Thus, the values of the angles are obtained.

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The price of Stock A at 9 AM was $15.97. Since then, the price has been increasing at the rate of $0.11 each
hour. At noon the price of Stock B was $16.72. It begins to decrease at the rate of $0.15 each hour. If the two rates continue,
in how many hours will the prices of the two stocks be the same?
In about hours, the prices of the two stocks will be the same.

Answers

In roughly 127 hours the prices of the two stocks will be the same.

What do we mean by equations?A mathematical equation is a statement that uses the symbol 'equal to' to connect two expressions with equal values. 3x + 5 = 15, for example. Equations are classified into linear, quadratic, cubic, and other types.

So, if we count the hours (x) after 9 a.m., the stock prices will be:

A = $15.97 + $0.11xB = $16.72 - $0.15(x - 3)

The value of x when A = B can be calculated using:

A = B

$15.97 + $0.11x = $16.72 - $0.15(x - 3)$15.97 + $0.11x = $16.72 - 0.15x + 0.45$0.11x + 0.15x = $16.72 + 0.45 - $15.97$0.26x = $33.14x = 33.14/0.26= 127.4615384615385Rounding off: 127

Therefore, in 127 hours roughly the prices of the two stocks will be the same.

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which of the following values is not a soliution to -4x - 6.8<34
A. X=-9
B. X=-10.2
C. X=-11
D. X=-10

Answers

The value not in the solution is x = -10.2

How to determine the value not in the solution?

The inequality expression is given as:

-4x - 6.8<34

Add 6.8 to both sides of the inequality

So, we have:

-4x < 40.8

Divide both sides by -4

x > -10.2

This means that only values greater than -10.2 are in the solution set

Hence, the value not in the solution is x = -10.2

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marvin was completing the square, and his work is shown below. identify the line where he made his mistake. (2 points) f(x)

Answers

It can be seen that the mistake that was made by Marvin was on line 1.

How to illustrate the information?

2x² - 8x + 5.... move the 5 to the other side

2x² - 8x = -5

Now divide by 2

x² - 4x = -5/2

x² - 4x + 4 = -5/2 + 4

(x - 2)² = -5/2 + 8/2

(x - 2)² = 3/2

x - 2 = (+-)sqrt 3/2

x = 2 + sqrt 3/2 or x = 2 - sqrt 3/2

Therefore, he made his mistake on line 1.

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Marvin was completing the square, and his work is shown below. Identify the line where he made his mistake. f(x) = 2x2 − 8x + 5. Line 1: f(x) = 2(x^2 − 8x) + 5 Line 2: f(x) = 2(x^2 − 8x + 16) + 5 − 32 Line 3: f(x) = 2(x − 4)^2 − 27

the expression 14x 3 represents the perimeter of the triangle. what is the length of the third side

Answers

what type of triangle is it

A group of friends wants to go to the amusement park. they have $327.75 to spend on parking and admission. parking is $13.75, and tickets cost $39.25 per person, including tax. how many people can go to the amusement park?

Answers

The total number of people who can go to the amusement park in the given scenario is 6. This problem is based on the basic mathematical formulae.

Formulae are mathematical statements comprising expressions, numbers, and variables to ease complex calculations.

Given that

The total amount for the expenditure = [tex]\[/tex]327.75.

Cost of parking per person = [tex]\[/tex]13.75,

Cost of tickets per person = [tex]\[/tex]39.25.

Total cost per person = Cost of parking per person + Cost of tickets per person

Total cost per person = [tex]\[/tex]13.75 + [tex]\[/tex]39.25

                                    = [tex]\[/tex]53

So,

Number of persons = [tex]\frac{The total amount for the expenditure}{Total cost per person }[/tex]

                                 = [tex]\frac{327.75}{53}[/tex] = 6.18.

So, 6 people can go to the amusement park.

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consider a clock with an hour hand and a minute hand. what is the measure of the angle the minute hand traces in 36 minutes. your answer should be in radians.

Answers

The measure of the angle the minute hand traces in 36 minutes is 3.77 radians

Calculating Angle

From the question, we are to determine the measure of the angle the minute hand traces in 36 minutes

The minute hand makes a complete rotation after 60 minutes.

Thus,

The angle the minute hand would have traced in 36 minutes is

36/60 × 360°

= 12960/60

= 216°

Now, convert to radians

216° = 216 × π/180 rad

= 3.77 rad

Hence, the measure of the angle the minute hand traces in 36 minutes is 3.77 radians

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Which of the following numbers are irrational?

Answers

Answer:

π/2 and ³√4

also -4.8237 and π/2

Step-by-step explanation:

number 2 and 4 are automatically out since every integer is a rational number.

√25 = 5 and 5 + 4 = 9, 9 can be expressed as 9/1 which falls under rational numbers.

π/2 on the other hand is not rational same goes for -4.8237 and ³√4 because these numbers cannot be written as a fraction with integers.

for the above numbers π/4 and ³√9 are irrational.

Do the two functions below appear to be inverses of each other

Answers

Answer:

yes

Step-by-step explanation:

if (a,b) is on the graph of f(x) then (-a,-b) is on the graph of f^-1(x)

HELP ME pls it is important

Answers

Answer:

You would want have more stock and less savings

Step-by-step explanation:

57x23=?
What is the explanations

Answers

Answer:1311

Step-by-step explanation:

2 digit long multiplication.
__________________________________________
Long multiplication can seem very intimidating, especially if you're multiplying two numbers that are pretty large. If you take it step by step, though, you'll be able to do long multiplication in no time.

First, muiltiply the 3 by 5 and 7, and muiltiply the 2 by 5 and 7 as well.

[tex]\frac{\begin{matrix}\:\:&\:\:&5&7\\ \:\:&\times \:&2&3\end{matrix}}{\begin{matrix}0&1&7&1\\ 1&1&4&0\end{matrix}}[/tex]

(NOTE: Remember when you muiltiply two digit numbers, when you pass from the first digit to the other on the bottom side, you ALWAYS add a zero to the beginning of the result BEFORE multiplying the following digit)

Secondly, once you've multiplied, you add both results of the multiplication.

[tex]\frac{\begin{matrix}\:\:&\textbf{\:\:}&1&\:\:&\:\:\\ \:\:&\textbf{0}&1&7&1\\ +&\textbf{1}&1&4&0\end{matrix}}{\begin{matrix}\:\:&\textbf{1}&3&1&1\end{matrix}}[/tex]

[tex]=1311[/tex] <- This is your final answer.
___________________________________________
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a water sprinkler is set to shoot a steam of water a distance of 12m and rotate through an angle of 40 degrees.
A) what is the ares of the lawn it waters? For r=12?
B.)what angle is required to water twice as much area. for θ=40 degree?
C)what range for the water stream is requiredto water twice as much area?

Answers

The area of the lawn is given as  50 . 24 m²

How to find the area of the lawn that the sprionkler waters

Area = πr² x θ/360

r = 12m

θ = 40 degrees

Area = 3.14 x 12² * 40/360

= 50.24

Hence the area is 50 . 24 m²

b. what angle is required to water twice as much area

2 x 50.26

= 100.52

Area = πr² x θ/360

The value of  θ is not given

When we plug in the figures we would have

100.52 = πr² x θ/360

Then  θ = 100.53 x 360 / 3.14 x 12²

= 80 degrees

c. θ = 40 degrees

100. 53 =  πr² x 40/360

πr²  = 100.53 x 360 / 40

r = 16.97 m

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Mobius, incorporated, has a total debt ratio of .48. a.what is its debt-equity ratio?

Answers

debt-equity ratio is 0.92.

What is debt equity ratio?

A firm's total liabilities and shareholder equity are compared using the debt-to-equity (D/E) ratio, which may be used to determine how heavily reliant a company is on debt. D/E ratios vary by sector and are most useful for comparing a firm to its closest rivals or tracking changes in its reliance on debt over time. When comparing similar organizations, a larger D/E ratio denotes greater risk, whereas a very low one can signify that a company is not utilizing debt funding to grow. Since long-term debt entails greater risk than short-term commitments, investors frequently change the D/E ratio to simply take it into account.

Debt-equity ratio is computed as follows:

= total debt ratio / (1 - total debt ratio)

= 0.48 / (1 - 0.48)

= 0.48 / 0.52

= 0.92

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A bike rental fee is $15 plus $0.25 per hour how many hours can Kristen rent a bike if she has $20?

Answers

She can rent a bike for 20 hours

Answer:

Kristen can ride the bike for 20 hours

Step-by-step explanation:

20 - 15 = 5

The rate is 0.25 an hour.

0.25 x 4 = 1 - Currently $4

0.25 x 4 = 1 - Currently $3

0.25 x 4 = 1 - Currently $2

0.25 x 4 = 1 - Currently $1

0.25 x 4 = 1 - No more

Add up all the 4's

She can ride the bike for 20 hours.

what is -3+5-11 ?? i need help

Answers

Answer:-9

Step-by-step explanation:

A train car is carrying 500 TV's.
If each set weighs 12.85 pounds, what is the
weight of the entire load?

Answers

Answer:

6425

Step-by-step explanation:

12.85x500=6425

-3(x+5)=-(3x+15) solve for x

Answers

Step-by-step explanation:

Simplifying

-3(x + 5) = -1(3x + 15)

Reorder the terms:

-3(5 + x) = -1(3x + 15)

(5 * -3 + x * -3) = -1(3x + 15)

(-15 + -3x) = -1(3x + 15)

Reorder the terms:

-15 + -3x = -1(15 + 3x)

-15 + -3x = (15 * -1 + 3x * -1)

-15 + -3x = (-15 + -3x)

Add '15' to each side of the equation.

-15 + 15 + -3x = -15 + 15 + -3x

Combine like terms: -15 + 15 = 0

0 + -3x = -15 + 15 + -3x

-3x = -15 + 15 + -3x

Combine like terms: -15 + 15 = 0

-3x = 0 + -3x

-3x = -3x

Add '3x' to each side of the equation.

-3x + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0

0 = -3x + 3x

Combine like terms: -3x + 3x = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

Answer:

Step-by-step explanation:

-3(x+5) = -(3x+15)

-3x - 15 = -3x - 15

the 2 sides are identical so there are

INFINITE solutions.

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8 divided by 1 4/5 write the quotient in lowest terms An audience needs to know facts and figures on how the topic specifically relates to them. True FalsePLEASE HELP!!!!!!! Which keyboard shortcut is used tomove the cursor one cell to theright of the insertion point?TabShift+Tab Down arrow Shift+Left Arrow If the rectangle below has an area of 32 sq. units, what is the area of thetriangle?OA. 16 sq. unitsB. 24 sq. unitsOC. 32 sq. unitsOD. 12 sq. unitsDA8484 Although slaves were emancipated in the 1800s, this period also marked the beginning of a new understanding of race known as:_____. At his school, astronomers, geographers, and mathematicians came to share their knowledge with _____. I need help for javascript shopping cart Consider the five pairs of long, parallel wires shown. The arrows indicate the direction of the current in each wire, with smallarrows representing a current of 3 A and large arrows representing a current of 9 A. For each pair, determine in which one of theregions the net magnetic field is zero someplace:on the left of both wiresbetween the two wireson the right of both wires none of the above (i.e., nowhere) The economic crisis in 2008 had a huge impact on eatons business to business customers. In response to the crisis, eatons customers tried to cut cost and lower their production. This in turn affected eatons sales negatively, which is an example for _______. What is the ph at the equivalence point of a weak acid-strong base titration? a) ph < 7 b) ph = 7 c) ph > 7 d) ph = 14.00 preparing to pay for higher education can start in 9th grade or earlier by... applying for grants. applying for scholarships. opening a 529 plan. taking out student loans. Read the passage below and identify the charged language that is used to persuade the reader.Add high energy prices to a sagging economy in an election year and politicians will inevitably come up with bad policies, like converting the corn crop into ethanol or John McCains proposal to suspend the federal gas tax neither will provide real relief at the pump while both are guaranteed to create other problems. The good news is that Congress failed last week to cut a deal on two more bad ideas: Republicans misguided push for offshore drilling and Democrats misbegotten plan to curb speculation in oil futures.Republicans should know that allowing more offshore drilling might marginally trim oil prices in about a decade while sacrificing important environmental protections. Democrats should know that financial speculation is not whats driving oil prices, and that curbing futures trading could hamper the ability of companies like airlines and oil refineries to manage their risks by locking in the price of oil. Putting them together is compounding one bad idea with another.I WILL MARK BRAIN LIST HURRY QuestionWhat is the value of x in this figure?Enter your answer in the box.x = Which action would most likely cause scientists to change or improve ascientific theory about cells?A. Hypothesizing about the effects of various conditions on cell structuresB. Developing new technologies that allow cell structures to be seen in greater detailC. Researching the history of the cell and critiquing the methods of past scientistsD. Asking questions about the functions of cell structures Which device is designed specifically to initially support and immobilize a body part in a desired position until swelling subsides? The ability to perceive, evaluate, and motivate oneself is a cornerstone of ______________ behavior. The _______________, _______________, and _______________ must be established before an organization can establish its goals and objectives. there is a universal trend in western nations that shows an increase in the commission of delinquent acts during late childhood, generally peaking between the ages of and 19 years old People who believe they have some control over the outcomes of their actions have ______ What is the distance between (-3, 6) and (5, 2)