How is adding and subtracting
decimals similar to and different from adding
and subtracting whole numbers?

This data demonstrates the diverse caregiving arrangements that exist for children who are unable to live with their parents. The information collected by the U.S. Census Bureau helps in understanding the distribution and dynamics of family structures in the country, shedding light on the various support systems and familial relationships that play a role in caring for children.

The U.S. Census Bureau collects and maintains data on various statistics related to families. In 2010, one of the recorded statistics was the number of children who did not live with their parents. The data indicated that there were three million children in this category.

Out of these three million children, 54% were found to be living with foster parents, their older brother or sister, an aunt or uncle, or their grandparent(s). This information provides insight into the living arrangements of children who were not residing with their biological parents during that time.

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According to the U.S. Census Bureau in 2010, 54% of the three million children who did not live with their parents were living with their grandparent(s).

The U.S. Census Bureau keeps records of various statistics related to families. In 2010, one statistic indicated that there were three million children who did not reside with their parents. Among these children, the Census Bureau found that 54% of them were living with their grandparent(s).

Living arrangements for children can vary greatly, and in this particular case, a significant portion of the children who were not living with their parents were found to be living with their grandparents. This statistic highlights the prevalence of grandparents assuming caretaking roles for their grandchildren, which can occur for various reasons, such as parental absence or inability to provide care. The Census Bureau's data sheds light on the dynamic living arrangements and familial support systems that exist within the population of children who are not residing with their parents.

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Answer:

one circle has a total angle of 360. Hence, 360-101= 3x+2+x-35

259=4x-33

292=4x

x=73 degrees

The coordinates of the images after the translation are K' (-4, 6).

To find the image coordinates of K', we need to translate the coordinates of K 6 units up.

This can be done by adding 6 to the y-coordinate of K.

So, the y-coordinate of K' will be:

y-coordinate of K' = y-coordinate of K + 6

= 0 + 6

= 6

To find the x-coordinate of K', we just need to keep the x-coordinate of K the same, since the translation is only in the vertical direction.

Therefore, the image coordinates of K' are (-4, 6).

So, the correct answer is C. K′(−4, 6).

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By using the concept of depreciation, it can be concluded that-

The function that could be used to model the amount of air pollution in this city over the next several years, assuming no other significant changes is an exponential function.

What is growth?

Growth is the exponential increase in the value of an asset or article or population at a certain rate over a certain period of time

EPA calculated that the air pollution should decrease by approximately 8% each year

The function that could be used to model the amount of air pollution in this city over the next several years, assuming no other significant changes is an exponential function.

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Complete Question

One function of the Environmental Protection Agency (EPA) is to reduce air pollution. After implementing several pollution reduction programs in a certain city, EPA calculated that the air pollution should decrease by approximately 8% each year. What kind of function could be used to model the amount of air pollution in this city over the next several years, assuming no other significant changes?

Answer:

joe biden 2020

Step-by-step explanation:

Simplifying the expression gives 6x√3x

Adding and subtracting surds is applicable where the numbers underneath the root symbols also known as radicands are the same.

From the information given, we have:

5x √3x + 2x√3x  - x√3x

We can see than the numbers within the root symbols '3x' are the same for all the three surds.

Note that if the root cases are the same, the numbers cannot be added or substracted.

Now, let's add the values outside the roots

5x √3x + 2x√3x  - x√3x

= 5x + 2x - x

= 7x - x

= 6x

We have;

6x√3x

Thus, simplifying the expression gives 6x√3x

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Answer:

I'm pretty sure it's d.

Step-by-step explanation:

Here is a better image of the question.

When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.

To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.

The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.

When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.

Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.

Therefore, the water will be approximately 7 inches deep in the larger container.

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The answer is:

Whether you add or subtract the equations, you get the same resulting equation in one variable.

Answer:

Y = 2x + 4

Step-by-step explanation:

The slope (rise / run) is 2 and the y-intercept is 4.

Hope this helps. Pls give brainliest.

Yes, the set F = {0, 1, 2} with addition and multiplication calculated modulo 3 is a field.

A field is a mathematical structure where addition and multiplication are defined, and certain properties hold. To prove that F = {0, 1, 2} is a field, we need to demonstrate that it satisfies the required properties.

Step 1: Closure under Addition and Multiplication

The addition and multiplication tables provided show that the results of adding or multiplying any two elements in F always yield another element in F. For example, when we add 1 and 2, the result is 0, which is also an element in F. Similarly, multiplying 1 and 2 gives us 2, which is also in F. This demonstrates closure under addition and multiplication.

Step 2: Existence of Identity Elements

In F, the element 0 acts as the additive identity since adding 0 to any element x in F gives x itself. For example, 0 + 1 = 1, and 0 + 2 = 2. Moreover, the element 1 serves as the multiplicative identity since multiplying any element x in F by 1 gives x itself. For instance, 1 * 2 = 2, and 1 * 0 = 0.

Step 3: Existence of Inverses

In F, every non-zero element has an additive inverse within the set. Adding an element x to its additive inverse -x results in the additive identity 0. For example, 1 + 2 = 0, and 2 + 1 = 0. Additionally, every non-zero element in F has a multiplicative inverse within the set. Multiplying an element x by its multiplicative inverse x^(-1) yields the multiplicative identity 1. For instance, 1 * 2 = 2, and 2 * 2 = 1.

A field is a mathematical structure that satisfies additional properties like associativity, distributivity, and commutativity, but these properties can be inferred from the given addition and multiplication tables. Therefore, the demonstration of closure, existence of identity elements, and existence of inverses is sufficient to establish that F = {0, 1, 2} with addition and multiplication modulo 3 is indeed a field.

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Answer:

profit will be maximized by making 20 doodles and 20 paintings = ($10 x 20) + ($20 x 20) = $600

Step-by-step explanation:

we have to maximize the following equation:

$10P + $20D

where:

P = number of portraits

D = number of doodles

the constraints are:

P + D ≤ 40

P ≤ 30

D ≤ 20

we do not need to use solver or any other type of linear programming tool to solve this, since profit will be maximized by making 20 doodles and 20 paintings = ($10 x 20) + ($20 x 20) = $600

Step-by-step explanation:

Let the numbers be a, b, c in ascending order.

Mean is 7, i.e. (a+b+c)/3 = 7 or a+b+c=21

Median(middle number) is 5, i.e. b=5

Range is 8, i.e. c-a=8 or c=8+a

Solving the above three equations simultaneously, we have

a+5+8+a=21

a=4, hence c=12

Therefore the three numbers are 4, 5 and 12

Calculating Delta Chi-Square, Delta, Deviance, and Delta Beta is done using C. Jackknifing, like we used in MLR (Multiple Linear Regression).

Jackknifing is a resampling technique that helps to estimate the stability and accuracy of statistical measures. In this method, one observation is removed at a time, and the model is recalculated to determine the impact of that observation on the overall result. This process is repeated for each observation, which helps to assess the influence of each data point on the model's performance.

Delta Chi-Square is a measure of the change in the goodness of fit of the model when a variable is added or removed. Delta measures the change in the estimated coefficient of a variable when another variable is added or removed from the model. Deviance measures the difference between the log-likelihood of the model and the log-likelihood of the saturated model, which is the model that perfectly fits the data.

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1. The solution for the equation is -16t² + 64t > 0

2. The interval notation for the equation is (0, 4)

Given,

The height of the building = 400 feet

A ball is thrown straight up from the top of the building.

The initial velocity of the ball = 64 feet/second

The height of the object is modeled by, s(t) = -16t² + 64t + 400

1. Solution for the equation:

s(t) > 400

So,

-16t² + 64t + 400 > 400

Add -400 to both sides

ie, -16t² + 64t + 400 - 400 > 400 - 400

We get,

-16t² + 64t > 0

2. Now find the interval notation for the equation:

-16t² + 64t > 0

Here, 64/16 = 4

So,

-16t (t - 4) > 0

Now,

t = 0 and t - 4 = 0  

The interval notation for the equation is (0, 4)

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Answer:

3\(\sqrt{2}\)

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

Simplify the given radicals

\(\sqrt{50}\)

= \(\sqrt{25(2)}\)

= \(\sqrt{25}\) × \(\sqrt{2}\)

= 5\(\sqrt{2}\)

------------------------

\(\sqrt{72}\)

= \(\sqrt{36(2)}\)

= \(\sqrt{36}\) × \(\sqrt{2}\)

= 6\(\sqrt{2}\)

-----------------------

\(\sqrt{128}\)

= \(\sqrt{64(2)}\)

= \(\sqrt{64}\) × \(\sqrt{2}\)

= 8\(\sqrt{2}\)

Then

\(\sqrt{50}\) + \(\sqrt{72}\) - \(\sqrt{128}\)

= 5\(\sqrt{2}\) + 6\(\sqrt{2}\) - 8\(\sqrt{2}\)

= 11\(\sqrt{2}\) - 8\(\sqrt{2}\)

= 3\(\sqrt{2}\)

The probability of a wheelchair not needing to be serviced for the 16 weeks of the semester is 0.230.

The exponential distribution is a continuous probability distribution that describes the time between two consecutive events that occur randomly and independently of each other. This distribution is useful in the fields of reliability, physics, and finance, among others.

The exponential distribution has a single parameter known as the scale parameter, which is denoted by lambda (λ) and is typically expressed in terms of the mean time between failures.The mean, median, and standard deviation are three of the most common summary statistics used to describe a probability distribution.

The probability of a wheelchair not needing to be serviced for the 16 weeks of the semester can also be calculated using the exponential distribution.

Mean: The mean of the exponential distribution is equal to 1/λ.λ = 1/7 = 0.143

Therefore, the mean is 1/λ = 1/0.143 = 6.993.

Median: The median of the exponential distribution is equal to ln(2)/λ.λ = 1/7 = 0.143

Therefore, the median is ln(2)/λ = ln(2)/0.143 = 4.837.

Standard deviation: The standard deviation of the exponential distribution is equal to 1/λ.λ = 1/7 = 0.143

Therefore, the standard deviation is 1/λ = 1/0.143 = 6.993.

Probability: P(X > 16) = e^(-λx)λ = 1/7 = 0.143X = 16P(X > 16) = e^(-0.143 * 16) = 0.230

Therefore, the probability of a wheelchair not needing to be serviced for the 16 weeks of the semester is 0.230.

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Answer:

Total number of employees = 86,891 employees

Step-by-step explanation:

Let

x = total number of employees

26.7% of x = 23,200

26.7/100 * x = 23,200

0.267 * x = 23,200

0.267x = 23,200

x = 23,200/0.267

x = 86,891.385767790

approximately 86,891 employees

Total number of employees = 86,891 employees

Answer: 39 times

Step-by-step explanation: A fair dice has 6 sides with each side having a different number between 1 and 6. Therefore, the probability of rolling a 1 is 1/6. To find out how many times June would expect to roll a 1 after rolling the dice 234 times, you must multiply 234 by 1/6 to get the answer of 39.

Step-by-step explanation:

Number of Combinations

= 25C0 + 25C1 + 25C2 + 25C3 + 25C4 + 25C5

= 1 + 25 + 300 + 2300 + 12650 + 53130

= 68,406.

There are a total of 68,406 combinations.

Answer:

6

Step-by-step explanation:

Answer: Degree of Polynomial: 12

Step-by-step explanation:

To calculate the probability that a 0.270 hitter in baseball will not get a hit on his next at-bat, we need to know the hitter's batting average.

A batting average of 0.270 means that the hitter gets a hit in 27 out of every 100 at-bats. Therefore, the probability of getting a hit on any given at-bat is 0.270.

The probability of not getting a hit on a single at-bat can be calculated as 1 minus the probability of getting a hit. So, the probability of not getting a hit on a single at-bat for a 0.270 hitter is:

Probability of not getting a hit = 1 - Probability of getting a hit

Probability of not getting a hit = 1 - 0.270

Probability of not getting a hit = 0.730

Therefore, the probability that a 0.270 hitter in baseball will not get a hit on his next at-bat is 0.730 or 73.0%.

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4×4×4×4×4 = 4 ^ (5)

(1) (2) (3) (4) (5)

4^5 ( )

Answer:

The unit rate is 32/25 Walls per gallons.

Step-by-step explanation:

Gallons of paint used by Martin =  5/8 gallons

Portion of wall Martin wants to paint in pints = 4/5 wall.

Rate at which Martin paints the wall: Rate =  Portion of wall covered/Paints Used.

Rate = 4/5 Gallons/5/8 Gallons = 32/25 Wall Gallons.

\(\sin(\alpha + \beta)=\sin(\alpha)\cos(\beta) + \cos(\alpha)\sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \sin(x+y)=\sin(x)\cos(y)+\cos(x)\sin(y) \\\\\\ \sin(x+y)=\sin(x)\left( \cfrac{\sqrt{2}}{2} \right)\cos(x)\left( \cfrac{\sqrt{2}}{2} \right) \\\\[-0.35em] ~\dotfill\\\\ \cos(y)=\sin(y)=\cfrac{\sqrt{2}}{2}\hspace{5em}\cos\left( \frac{\pi }{4} \right)=\sin\left( \frac{\pi }{4} \right)=\cfrac{\sqrt{2}}{2}\hspace{5em}y=\cfrac{\pi }{4}\)

Answer:

Answer Choice B

Step-by-step explanation:

It is 5$ for 1 lb so that means you get the fraction $5/1lb