Activity
An atom consists of electrons, protons, and neutrons. Each electron has a charge of -1, each proton has a charge of +1, and each neutron has no charge. If 3 electrons are removed from each of 4 atoms, what is the combined net change to the charge of the 4 atoms? Complete the steps below to solve this problem and others like it.
Part A
Three electrons are removed from each of 4 atoms. Write an expression to represent the net change on the charge for the group of atoms.

Part B
Simplify the expression obtained in part A and explain what the answer represents.

Part C
Here’s a similar problem. Write an expression for the net change in charge if two electrons are added to each of six atoms in a group. Also, write an expression that represents removing two protons each from a group of six atoms.

Part D
Simplify the two expressions in part C.

Part E
How are the two products in part D related?

Part F
Think about multiplying any two rational numbers. Based on this activity and your previous work, write a set of rules for finding the sign of the product based on the sign of the two numbers being multiplied.

Answer:

442

Step-by-step explanation:

The Triangle formula is b*h which is the bottom number times the number on the left side 17*26

Answer:

Chemical Change-

The 99% confidence interval estimate of the overall difference in the percentages of Democrats and Republicans that prioritize protecting the environment is (0.41, 0.53). This means we can be 99% confident that the true difference in proportions falls within this interval.

Sample size of Democrats, n1 = 750

Number of Democrats who consider the environment as a top priority, x1 = 615

Sample size of Republicans, n2 = 850

Number of Republicans who consider the environment as a top priority, x2 = 306

Calculate the sample proportions:

Sample proportion of Democrats, p1 = x1 / n1 = 615 / 750 = 0.82

Sample proportion of Republicans, p2 = x2 / n2 = 306 / 850 = 0.36

Calculate the standard error of the difference in two sample proportions:

σd = sqrt{ [P1(1-P1) / n1] + [P2(1-P2) / n2] }

σd = sqrt{ [0.82(0.18) / 750] + [0.36(0.64) / 850] }

σd = sqrt{ 0.000180 + 0.000240 }

σd = sqrt{ 0.000420 }

σd ≈ 0.0205

Determine the level of confidence:

Given level of confidence, C = 99%

Find the critical value (z-score):

The z-score corresponding to the given level of confidence can be obtained from the standard normal table. For a 99% confidence level, the critical value is approximately z = 2.576.

Calculate the margin of error:

The margin of error is given by E = z * σd

E = 2.576 * 0.0205

E ≈ 0.0528

Construct the confidence interval:

The 99% confidence interval estimate of the overall difference in the percentages of Democrats and Republicans that prioritize protecting the environment is given by (D – d, D + d), where D is the difference in sample proportions and d is the margin of error.

(0.82 – 0.36 – 0.0528, 0.82 – 0.36 + 0.0528)

(0.41, 0.53)

Interpretation:

We can be 99% confident that the true difference in the percentages of Democrats and Republicans who prioritize protecting the environment falls within the interval (0.41, 0.53).

This means that there is a significant difference between the two groups in terms of the proportion that prioritize protecting the environment. The Democrats have a higher proportion compared to the Republicans.

To learn more about confidence interval visit : https://brainly.com/question/15712887

#SPJ11

Answer: X = - 5

Step-by-step explanation:

21 / - 4.2 = -5

Answer:

\(\huge\boxed{\sf x = -5}\)

Step-by-step explanation:

-4.2x = 21

Divide both sides by -4.2

-4.2 x / -4.2 = 21 / - 4.2

x = -5

We gotta divide -4.2 instead of 4.2.

\(\rule[225]{225}{2}\)

Hope this helped!

The probability that Ricardo makes a higher proportion of putts than Tammy is 0.019

To find the probability that Ricardo makes a higher proportion of putts than Tammy, we can use the following steps:

Calculate the number of putts that Ricardo makes by multiplying the number of putts he attempts by his proportion of successful putts. In this case, Ricardo makes 0.47 * 25 = 11.75 putts.

Calculate the number of putts that Tammy makes by multiplying the number of putts she attempts by her proportion of successful putts. In this case, Tammy makes 0.51 * 30 = 15.3 putts.

Calculate the probability that Ricardo makes more putts than Tammy by counting the number of possible outcomes in which Ricardo makes more putts and dividing by the total number of possible outcomes.

There are 25 - 11.75 = 13.25 more putts that Ricardo could make than Tammy,

so there are 13.25 + 1 = 14.25 possible outcomes in which Ricardo makes more putts.

There are a total of 25 * 30 = 750 possible outcomes,

so the probability that Ricardo makes more putts than Tammy is 14.25 / 750 = 0.019.

So, the probability that Ricardo makes a higher proportion of putts than Tammy is approximately 0.019.

Read more about Probability from:

https://brainly.com/question/14210034

#SPJ4

Answer:

16.50

Step-by-step explanation:

The width of the TV will be equal to 16.49 inches.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

Given that a certain television is advertised as a 21-inch TV (the diagonal length). If the height of the TV is 13 inches.

The width of the TV will be calculated as,

W = √ ( 21² - 13² )

W = √ ( 441 - 169 )

W = √272

W = 16.49 inches

Therefore, the width of the TV will be equal to 16.49 inches.

To know more about the Pythagorean theorem follow

https://brainly.com/question/343682

#SPJ2

The correct answer is c. 2.

To evaluate ∫cF · dx along the line segment C' from (0, 0, -1) to (1, 0, 0), we substitute the parametric equations of C' into the integrand F.

The parametric equations of C' can be written as:

x = t, y = 0, z = -1 + t

where t varies from 0 to 1.

Substituting these values into F = V(x² - y² - z²), we have:

F = V(t² - 0 - (-1 + t)²)

 = V(t² - (1 - 2t + t²))

 = V(t² - 1 + 2t - t²)

 = V(2t - 1)

Now, we evaluate ∫cF · dx:

∫cF · dx = ∫₀¹ V(2t - 1) · dt

Integrating with respect to t, we get:

∫cF · dx = V ∫₀¹ (2t - 1) · dt

        = V[t² - t] from 0 to 1

        = V[(1)² - 1] - V[(0)² - 0]

        = V(1 - 1) - V(0 - 0)

        = V(0)

        = 0

Therefore, the value of ∫cF · dx is 0, which corresponds to the option d. 1.

To learn more about parametric equation, click here: brainly.com/question/30748687

#SPJ11

Answer:

\(18yd^{2}\)

Step-by-step explanation:

Area = length * width

Area = 9 * 2

Therefore, area is \(18yd^{2}\)

Answer:

C

Step-by-step explanation:

A=wl

A=2yd*9yd

A=18\(yd^{2}\)

Option B is the correct answer. Ceteris paribus is a phrase do we use to indicate that we are trying to study the relationship between two variables while the values of all other variables are held unchanged.

This is the most commonly-used phrase that defines 'all other things being unchanged or constant'. It is used in economics to rule out the possibility of 'other' factors changing, which is the specific causal relation between two variables is focused.

This is the Latin phrase that is generally used for saying 'with other things being the same'. It is particularly crucial in the study of cause and effect relationships between two specific variables such that other relevant factors influence.

The opposite word for this phrase is 'mutat's mutants, which defines changing some factors that are used to be changed. Ceteris paribus is often a fundamental assumption to the predictive purpose of scrutiny.

To know more about Ceteris paribus:

https://brainly.com/question/14570512

#SPJ$

Answer:

If the bisectors of two adjacent angles are perpendicular to each other, are the angles then supplementary angles?

Suppose two angles ABC and CBD are x and y.

x+y = 180 deg.

The bisector of angle ABC (BE) and the bisector of angle CBD (CF) will form angle EBF = (x/2)+(y/2) = 180/2 = 90 deg.

Conclusion: If the angle bisectors of two adjacent angles are perpendicular to eaxh other, the adjacent angles are supplementary angle

Adjacent angles are when the 2 angles have a common vertex and a common arm.

if the exterior sides of 2 adjacent angles are perpendicular, then the angles are complementary angles.

Then the sum of the 2 adjacent angles is a right angle - 90°.

When 2 angles add up to 90°, they are called a pair of complementary angles.

Step-by-step explanation:

Answer: Hello: ) ✨ If the bisectors of two adjacent angles are perpendicular to each other, are the angles then supplementary angles?

Suppose two angles ABC and CBD are x and y.

x+y = 180 deg.

The bisector of angle ABC (BE) and the bisector of angle CBD (CF) will form angle EBF = (x/2)+(y/2) = 180/2 = 90 deg.

Conclusion: If the angle bisectors of two adjacent angles are perpendicular to eaxh other, the adjacent angles are supplementary angle

Adjacent angles are when the 2 angles have a common vertex and a common arm.

if the exterior sides of 2 adjacent angles are perpendicular, then the angles are complementary angles.

Then the sum of the 2 adjacent angles is a right angle - 90°.

When 2 angles add up to 90°, they are called a pair of complementary angles.

Have an amazing Day/Night <3 .

The rate of change of the height of the top of the ladder above the ground at the instant when the base of the ladder is 30 ft. from the base of the building is -3 ft./min.

The rate of change of the height of the top of the ladder above the ground at the instant when the base of the ladder is 30 ft. from the base of the building is -3 ft./min. This rate takes into account the fact that the ladder is slipping at a rate of 3 ft./min. As the base of the ladder is slipping away from the building, the top of the ladder is moving down, hence the negative rate of change. This rate of change will remain the same until the base of the ladder has slipped the full 50 ft. from the base of the building. At this point, the rate of the change of the height of the top of the ladder will be 0, since the ladder will no longer be slipping.

The rate of change can be calculated as follows:

Rate of change = Change in height / Change in time

Change in height = Initial height - Final height

Initial height = 50 ft.

Final height = 50 ft. - 30 ft. = 20 ft.

Change in time = 30 ft. / 3 ft./min. = 10 min.

Rate of change = (50 ft. - 20 ft.) / 10 min. = -3 ft./min.

Learn more about rate here

https://brainly.com/question/13481529

#SPJ4

9514 1404 393

Answer:

  6.302×10^7 kg

Step-by-step explanation:

Since we want to find the difference in mass, we need to have the same exponent on both numbers. For that purpose, it is convenient to change the representation of the train's mass to 0.998×10^7 kg.

The carrier has more mass by the amount of ...

  7.3×10^7 -0.998×10^7 = (7.300 -0.998)×10^7 = 6.302×10^7 . . . kg

_____

Your (scientific or graphing) calculator or a spreadsheet can figure this for you and give you the scientific notation display.

The measure of angle A is 21.75°. Therefore, option 3 is the correct answer.

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

The formula for sine rule is sinA/a=sinB/b=sinC/c

From the given triangle ABC, BC=19 units, AC=43 units and ∠B=123°.

Using sine rule,

sinA/19 =sin123°/43

sinA/19 = 0.8386/43

sinA/19 = 0.8386/43

sinA/19 = 0.0195

sinA=0.0195×19

sinA=0.3705

A=21.75°

Therefore, option 3 is the correct answer.

Learn more about the sine rule here:

https://brainly.com/question/22288720.

#SPJ1

Answer:

5p³ - 7p² -5p + 3

Step-by-step explanation:

Combine like terms

5p³ - 7p² -5p + 3

Answer:

5p^3-7p^2-5p+3

Step-by-step explanation:

(5p^3 - p) – (7p^2 + 4p - 3)​

Distribute the minus sign

(5p^3 - p) – 7p^2 - 4p + 3

Combine like terms​

5p^3-7p^2-5p+3

The circumference is 160 feet for a length of 40 feet. The perimeter is 200 feet for a length of 50 feet. The circumference is 240 feet for a length of 60 feet.

A rectangular region with a 1200 square foot area will have a different perimeter depending on how long it is. The perimeter will be 160 feet if the area is 40 feet long. The length of 40 feet is multiplied by four to get a final measurement of 160 feet. In a similar manner, if the area is 50 feet long, the perimeter will be 200 feet.

The length of 50 feet is multiplied by four to get a final result of 200 feet. Finally, the perimeter will be 240 feet if the area is 60 feet long. The length of 60 feet is multiplied by four to get a final measurement of 240 feet. A rectangular region with an area of 1200 square feet will therefore have a different perimeter depending on its length, with a length of 40 feet resulting in a perimeter of 160 feet, a length of 50 feet resulting in a perimeter of 200 feet, and a length of 60 feet resulting in a perimeter of 240 feet.

Learn more about length here

https://brainly.com/question/13194650

#SPJ4

The simplified expression 2-6/-2-4-12/6x-3 is given as follows:

-2 - 2x.

The expression for this problem is defined as follows:

\(2 - \frac{6}{-2} - 4 - \frac{12x}{6} - 3\)

The division operation has a higher precedence over the subtraction operations, hence:

Hence the expression can be written as follows:

2 - (-3) - 4 - 2x - 3 = 2 + 3 - 4 - 2x - 3.

Then combining the like terms, which are the constant, the simplified expression is given as follows:

-2 - 2x.

More can be learned about the simplification of an expression at https://brainly.com/question/723406

#SPJ1

Answer:

The other length of the leg is 8 feet.

Step-by-step explanation:

To find the answer we have to find what 10 and 6 is squared.  10 x 10 = 100.  

6 x 6 = 36.  Now since we are trying to find the length of the other leg, we will subtract 100 from 36 and we get 64.  Then for the last step, we will figure out what number squared equals 64.  Because 8 x 8 = 64, 8 is our answer.

Answer:

Step-by-step explanation:

Given 64 feet of fencing that can be used for three sides of a rectangular enclosure next to a barn wall, you want a function for area in terms of enclosure width, the width that maximizes area, and the maximum area.

If we define the width (x) as the dimension parallel to the barn wall, then the fence available for the "height" (out from the barn wall) is (64-x) in length. Half that is used on either end of the enclosure, so the area is ...

  A = WH

  A(x) = x(64 -x)/2

We notice this function describes a parabola that opens downward, with zeros at x=0 and x=64. The vertex (maximum) is on the line of symmetry, halfway between the zeros:

  x = (0 +64)/2 = 32

The width that maximizes area is x = 32 ft.

Using x=32 in the area formula, we find the maximum area to be ...

  A(32) = 32(64 -32)/2 = 1024/2 = 512 . . . . square feet

The maximum area is 512 square feet.

__

Additional comment

Perhaps you can see that the best width is half the length of the available fence. The other half of the fence is used for the ends of the enclosure. This is the generic solution to this kind of problem.

Answer:

  100

Step-by-step explanation:

We assume that you are concerned with integers, and that you only count a number as "3-digit" if it does not have a zero in the hundreds place.

In order for the number to have a minimum value, the minimum available digit must be used in each number place, starting from the most-significant place--the hundreds place.

The least (non-zero digit) available for the hundreds place is 1.

The least digit available for the tens place is 0.

The least digit available for the ones place is also 0, since it is allowed to duplicate a digit already used.

The least possible 3-digit number using 2 different digits is 100.

For path A, the total distance traveled is 480 meters. The magnitude of displacement from start to finish is 240 meters, and the direction of the displacement is southeast.

To determine the total distance traveled along path A, we add up the lengths of all the individual segments. Path A consists of two horizontal segments followed by two vertical segments, each of which is 120 meters long.  the total distance is 2 * 120 + 2 * 120 = 480 meters.

To calculate the magnitude of the displacement, we consider the straight-line distance from the starting point to the ending point. In this case, the displacement is equal to the length of the hypotenuse of a right triangle formed by the horizontal and vertical segments of path A. Using the Pythagorean theorem, we find the displacement to be sqrt((120)^2 + (120)^2) ≈ 169.7 meters.

The direction of the displacement can be determined by finding the angle between the displacement vector and the positive x-axis. In this case, the angle can be determined using trigonometry as arctan(120/120) ≈ 45 degrees. Since the displacement is in the southeast direction, the direction can be stated as 45 degrees southeast.

know more about Pythagorean theorem :brainly.com/question/10368101

#SPJ11

Answer:

Step-by-step explanation:

90

By solving the equation 510 = 2(6x + 11x), we know that the length of the given rectangle is 90 units.

It primarily consists of a variable, sometimes with a numerical constant in addition.

Take the following illustration into consideration to quickly grasp this idea. 3x – 4 = 5. It is a simple equation of class 7.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

So, we know that the ration is 6:11 and the perimeter is 510 units.

Then, form and solve the equation as follows:

510 = 2(6x + 11x)

510 = 12x + 22x

510 = 34x

x = 510/34

x = 15

Then, the length will be:
6x

6(15)

90 units

Therefore, by solving the equation 510 = 2(6x + 11x), we know that the length of the given rectangle is 90 units.

Know more about equations here:

brainly.com/question/2972832

#SPJ1

A 5th degree polynomial have five complex roots. This means that the polynomial can be written as the product of five linear or quadratic polynomials.

The general formula to calculate the roots of a 5th degree polynomial is:

\(x^5 + ax^4 + bx^3 + cx^2 + dx + e = 0\)

The roots of the polynomial can be found by solving the following equation:

\(x^4 + (a - x)x^3 + (b - a x + x^2)x^2 + (c - bx + ax^2 - x^3)x + (d - cx + bx^2 - ax^3 + x^4) = 0\)

To calculate the roots of the polynomial, we need to solve the quartic equation, which can be done by using the quadratic formula. Then, we can use the solutions of the quartic equation to find the roots of the 5th degree polynomial.

For example, if we have the polynomial x^5 + 2x^4 + 3x^3 + 4x^2 + 5x + 6 = 0, then the roots can be calculated as follows:

x1 = -1.7177

x2 = -0.3181

x3 = 0.5813

x4 = 1.2520

x5 = 2.1771

These are the five complex roots of the polynomial.

Learn more about complex roots here:

https://brainly.com/question/17998260

#SPJ4

By using the concept of bell shaped curve of normal distribution, it can be concluded that

The histogram would not look like a bell shaped curve because occurance of fire may not be constant in  all the case.

What is normal distribution?

Normal distribution is a continuous type probability distribution whose probability density function is given by

f(x) = \(\frac{1}{\sigma \sqrt{2\pi}}e^-{\frac{z^2}{2}\)

Where z = \(\frac{x - \mu}{\sigma}}\) where \(\mu\) is the mean and \(\sigma\) is the standard deviation

A fire department in a small town keeps track of the number of fires it has to fight each day for a year and records the 365 values central limit theorem.

Here, in this case it is not confident that the histogram would not look like a bell shaped curve because occurance of fire may not be constant in  all the case.

To learn more about normal distribution, refer to the link-

https://brainly.com/question/4079902

#SPJ4

The p-value for the hypothesis test H₀:μ = 10 against H₁:μ<10 with variance unknown and n = 10 is approximately 0.047.

To determine the p-value, the test statistic is calculated as follows:

t = (sample mean - hypothesized mean) / (standard error of the mean)

The sample mean is calculated as follows:

x = Σx / n

where Σx is the sum of the sample values and n is the sample size.

The hypothesized mean is 10.

The standard error of the mean is calculated as follows:

SE = σ / √n

where σ is the population standard deviation and n is the sample size.

Plugging in the values for the sample mean, hypothesized mean, sample standard deviation, and sample size, we get the following test statistic:

t = (2.5 - 10) / (1.5 / √10) = -4.66

The critical value is found using the t-distribution with n-1 degrees of freedom. The t-distribution is a probability distribution that is used to calculate the p-value for a hypothesis test when the population standard deviation is unknown. The degrees of freedom is the number of data points minus the number of parameters estimated. In this case, the degrees of freedom is 10-1=9.

The critical value for a two-tailed hypothesis test with a significance level of 0.05 and 9 degrees of freedom is 2.306.

The test statistic (-4.66) is less than the critical value (2.306). Therefore, we reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis.

The p-value is the probability of obtaining a test statistic that is at least as extreme as the one observed, assuming that the null hypothesis is true. The p-value for the test statistic -4.66 is approximately 0.047. This means that there is a 4.7% chance of obtaining a test statistic that is at least as extreme as -4.66 if the population mean is actually 10.

Therefore, the best approximation for the p-value for the test statistic is 0.047.

Learn more p-value here;

https://brainly.com/question/14805123

#SPJ4

The probability P(n < 10 | n is prime) is 4/6, which simplifies to 2/3 or approximately 0.67 (rounded to the nearest hundredth).

To find the probability P(n < 10 | n is prime), we need to determine the number of prime integers less than 10 and divide it by the total number of integers from 1 to 15 that are prime.

The prime numbers less than 10 are 2, 3, 5, and 7. So, there are 4 prime numbers less than 10.

The total number of integers from 1 to 15 that are prime is 6 (2, 3, 5, 7, 11, and 13).

As a result, the chance P(n 10 | n is prime) is 4/6, which can be expressed as 2/3 or, rounded to the nearest hundredth, as around 0.67.

Thus, 0.67 is the answer.

for such more question on probability

https://brainly.com/question/13604758

#SPJ8

Answer:

2h + 10

Step-by-step explanation:

The question gives one the height of Tree A (8h - 1) and the height of Tree B (6h - 11). The problem asks one to find how much taller Tree A is than Tree B. This problem can be modeled using a simple subtraction problem, the height of Tree A, minus the height of Tree B. Remember to distribute the subtraction sign outside of the parenthesis, and only combine like terms;

(Tree A) - (Tree B)

= (8h - 1) - (6h - 11)

= 8h - 1 - 6h + 11

= 2h + 10

Since there was no numerical value given for the variable (h), nor any value which this expression is equal, the final answer is (2h + 10).

the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

n the given problem, we have an implicit equation ln(x+y+z) = x+2y+3z that defines z as a function of x and y. We are given the values dy = (-1, 5, -3).

To find the derivative dy/dx, we can use the total derivative formula and apply it to the implicit equation. The total derivative is given by dy/dx = - (∂F/∂x)/(∂F/∂y), where F = ln(x+y+z) - x - 2y - 3z.

Differentiating F partially with respect to x and y, we have (∂F/∂x) = 1/(x+y+z) - 1 and (∂F/∂y) = 1/(x+y+z) - 2.

Plugging in the given values of dy = (-1, 5, -3), we can calculate dy/dx = - (∂F/∂x)/(∂F/∂y) = -(-1)/(5-2) = 1/3.

Therefore, the derivative dy/dx is equal to 1/3 based on the given information. It's important to note that this calculation assumes that the partial derivatives (∂F/∂x) and (∂F/∂y) are not zero at the given point (z.y.a).

Learn more about equation here: brainly.com/question/29657983

#SPJ11

When salt is added to water, the boiling point of water is increased. The boiling point elevation depends on the concentration of salt added. The addition of salt increases the boiling point of water.

The extent of the increase in boiling point is directly proportional to the amount of salt added. Boiling point is defined as the temperature at which the vapor pressure of a liquid is equal to the pressure exerted on it by the surrounding atmosphere.

In layman's terms, this means that a liquid boils when its vapor pressure equals atmospheric pressure. Boiling point of a liquid can be increased or decreased by the addition of solutes such as salt.When a solute such as salt is added to water, the boiling point of water increases due to the phenomenon of boiling point elevation.

This is because the solute particles in the water interfere with the formation of water vapor molecules at the surface of the liquid. As a result, more energy is required to boil the water, which means that the boiling point is elevated.

The amount of elevation is directly proportional to the concentration of salt added. In short, the addition of salt to water increases the boiling point of water.

To learn more about boiling point , visit

brainly.com/question/40140

#SPJ11

Answer:

119

Step-by-step explanation:

\(\fbox{3}=3^3=27\\\fbox{2}=2^3=8\\27\circ8=5(27)-2(8)=119\)

The value of the given expression is 119

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

Given is an expression, (A) = A³ and A₀B = 5A-2B, We are asked to find

(2)₀(3)

Solving we get,

(3) = 3³ = 27

(2) = 2³ = 8

27₀8 = 5(27)-2(8)

= 119

Hence, the value of the given expression is 119

For more references on expression, click;

https://brainly.com/question/14083225

#SPJ2