Which expressions are equivalent to 2(2x + 4y + x − 2y)? (1 point)

Answer:

(4b-5)^2

Step-by-step explanation:

I am assuming it's asking this? I'm not too sure.

Answer:

\((4b - 5 {)}^{2} \)

Step-by-step explanation:

1) Rewrite it in the form a² - 2ab + b², where a = 4b and b=5.

\((4b)^{2} - 2(4b)(5) + {5}^{2} \)

2) Use square of Difference: (a - b)² = a² - 2ab + b².

\((4b - 5)^{2} \)

Therefor, the answer is ( 4b - 5)².

Answer:

3/7

Step-by-step explanation:

you are gonna add all the parts together which is seven and because three parts are blue chances are that it might stop at blue three times out of seven

Convenience Sampling is the sampling technique used in the given question.

Concept: Convenience sampling is defined as a method adopted by researchers where they collect market research data from a conveniently available pool of respondents. It is the most commonly used sampling technique as it's incredibly prompt, uncomplicated, and economical.

The given situation indicates the non-probability sampling because the sampling units are not selected at random and every unit in population has unequal chance of being selected. Convenience sampling is a type of non-probability sampling in which the sampling unit close to interviewer are selected. In the situation statistics student interviews the individual that resides in his building, so it is a convenience sampling.

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Answer:

y = -5x -8

Step-by-step explanation:

_____________

To teach third-grade students about fractions like\(\frac{1}{4} ,\frac{1}{3} , \frac{2}{3} ,\frac{3}{4}\) and whole using concrete objects and best practices, the teacher could use common classroom tools such as: Fraction circles or bars,Paper strips or folding, Cuisenaire rods, Playdough or clay and LEGO bricks

1. Fraction circles or bars: These manipulatives visually represent fractions and can be easily assembled or taken apart to show different fractional parts.
2. Paper strips or folding: Have students fold paper strips into equal parts to represent the different fractions.
3. Cuisenaire rods: These are colored rods that vary in length, and can be used to teach fractions by comparing their lengths.
4. Playdough or clay: Students can create balls of playdough or clay and divide them into equal parts to represent fractions.
5. LEGO bricks: Use LEGO bricks with a consistent size to represent whole units and have students build models with different fractional parts.
6. Pizzas or pies: Draw or use images of pizzas or pies divided into equal parts, or even use real food for a fun, hands-on approach.

Incorporating these common tools in the classroom will help demonstrate fractions effectively and enhance students' understanding of mathematical concepts.

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y = mx + b

Is parallel to line 5x - 2y = 6

Slope m= ?

write

5x - 6= 2y

(5/2)x - (6/2)= y

2.5x - 3 = y

Then Slope m= 2.5

equation is y= 2.5x + b

Now, find b

b= y - 2.5x

Replace point (-

The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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see attachment..........

Answer:

1. To make a bell curve (a normal distribution) with a mean of 41 and a standard deviation of 5, we can use the following values on the x-axis:

x = 21, 26, 31, 36, 41, 46, 51, 56, 61

These values are symmetric around the mean of 41, and each value is one standard deviation away from the mean.

On the y-axis, we can mark the percentage of people in each interval, which is calculated using the area under the curve. The total area under the curve is 100%.

2. To find the percentage of people who were below 31 years old, we need to calculate the area under the curve to the left of x = 31. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.0228, or 2.28%.

So, about 2.28% of people were below 31 years old.

3. To find the percentage of people who were above 31 years old, we can subtract the percentage of people below 31 years old from 100%.

100% - 2.28% = 97.72%

So, about 97.72% of people were above 31 years old.

4. To find the percentage of people between 41 and 46 years old, we need to calculate the area under the curve between x = 41 and x = 46. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.3413, or 34.13%.

So, about 34.13% of people were between 41 and 46 years old.

5. To find the percentage of people older than Kip (who is 38 years old), we need to calculate the area under the curve to the right of x = 38. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.6306, or 63.06%.

So, about 63.06% of people were older than Kip.

Step-by-step explanation:

Statement                                              Matching

bounded and uses brackets  { ]                 ≥

-5 is included in the solution                (- ∞, - 5] or(0, ∞)      

-5 is not included in the solution         (- ∞, - 10] or (- 5, ∞)

unbounded and uses parentheses ( )        - ∞

While using a brackets { ], the terms in the bracket are included in the solution hence we use ≥

While using a parentheses ( ), the terms in the parentheses are not included in the solution hence we have -∞. We can also use < or > or ∞. Since the terms no included in the solution

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The sampling technique used in this scenario is Random sampling

The correct answer is an option (a)

We know that the random sampling is nothing but a method of choosing a sample of observations from a population to make assumptions about the population. It is also called as a porbability sampling.

It  allows for the randomization of sample selection.

There are four random sampling methods –

simple random sampling,

systematic sampling,

stratified sampling,

and cluster sampling.

In random sampling, the randomized selection of a small segment of individuals or members from a whole population.

Here, the soda bottle company  have equipment that can pull every tenth bottle from the assembly line without causing a backup on the line.

Therefore,  the sampling technique used: Random

The correct answer is an option (a)

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The complete question is:

Select the sampling technique used:

A soda bottling company needs to test the quality of the bottles they produce. They have equipment that can pull every tenth bottle from the assembly line without causing a backup on the line.

a) Random

b) Stratified

c) Cluster

d) Systematic

e) Convenience

Answer:

457000

Step-by-step explanation:

You are multiplying hectograms by 100000  in order to convert it into milligrams

The biker should travel along the road for 0.67 miles and then cut into the field. This will minimize the distance traveled across the field and allow the biker to reach the house in the shortest possible time.

Let's assume that the biker wants to travel from the road to the house in a straight line. Since the biker can travel twice as fast along the road as across the field, it makes sense to minimize the distance traveled across the field.

Let's call the distance the biker travels along the road "d" and the distance the biker travels across the field "x". We know that the total distance the biker needs to travel is 2 miles. Therefore, we can write:

d + x = 2

We also know that the biker travels at a speed of 14 miles per hour along the road and 7 miles per hour across the field. Therefore, we can write:

d/14 = x/7

Simplifying this equation, we get:

2d = x

Now we can substitute this value of x in the first equation to get:

d + 2d = 2

Solving for d, we get:

d = 0.67 miles

Therefore, the biker should travel along the road for 0.67 miles and then cut into the field. This will minimize the distance traveled across the field and allow the biker to reach the house in the shortest possible time.

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Answer:

x= -3,      x = 1

Step-by-step explanation:

Zeros are values of x, when f(x) = 0.

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

x+3 = 0,  x - 1=0

x= -3,      x = 1

Answer:

x = -3, x = 1

Step-by-step explanation:

To determine the zeroes of the factored quadratic equation, we need to look back at its definition. The zeroes are a function are specific x-values that result in a y-value of 0.

In this case, we want the numbers inside of the parantheses to equal 0. If we substitute in x = -3, we get (0)(x - 1), and we know that is just 0. Similarly, if we substitute in x = 1, we get (x + 3)(0), and we know that is just 0.

As such, these are your solutions.

The height of the tree, rounded to the nearest hundredth of a foot, is approximately 114.57 feet.

To solve this problem, we can use trigonometry and the concept of similar triangles. Let's call the height of the tree "h". We can create a right triangle with one leg being the height of the tree and the other leg being the distance from the point on the ground to the base of the tree (which is 89 feet). The angle between the ground and the line of sight to the top of the tree is the angle of elevation, which we know is 54°.
Using the trigonometric function tangent (opposite/adjacent), we can set up the following equation:
tan(54°) = \(\frac{h}{89}\)
To solve for h, we can cross-multiply and simplify:
h = 89 × tan(54°)
Using a calculator, we get:
h ≈ 114.57 ft
Therefore, the height of the tree is approximately 114.57 feet. Our answer is (a) 114.57 ft, rounded to the nearest hundredth of a foot.

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Answer:

answer is 1 answer is 4-5 = 1 is 3-6 answer is only 3

Answer:

4 ^2 + 2

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

4x^2 + 2x

Step-by-step explanation:

The explanation is in the attachment

:)

Answer:

Lynnette can wash 2111109 in 11 days

Step-by-step explanation:

Have a good day :)

Answer:

Hey there! The answer you selected is correct!

Step-by-step explanation:

$6 x the number of hours he works + $7.50 times the number of hours he works has to be less than or equal to (≤) 15 hours. The number of hours he works has to be more than or equal (≥) to $75. Great job choosing the correct answer!

The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;

d + c ≤ 15.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now it is given that,

Money from walking neighbor's dog = $6 per hour

Money from car wash = $7.5 per hour

Total Number of hours of work not more than 15 hours

Now, if d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars

So, money from walking neighbor's dog = 6c

and money from car wash = 7.5d

Therefore total money saved = 6c + 7.5d

∵ Total Number of hours of work is not more than 15 hours

⇒ d + c ≤ 15

∵ Tom needs to make at least $75 to cover prom expenses

⇒ 6c + 7.5d ≥ 75

The system of inequalities represents this solution is B. 6c + 7.5d ≥ 75 ;

d + c ≤ 15.

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Answer:

$11.50

Step-by-step explanation:

57.50 in 5 hours

→ Divide 57.50 by 5

$11.50

The magnitude and the direction angle of the vector are given as follows:

The points that define the vector are given as follows:

m(-15, 16) and n(2,-6).

Considering m as the starting point and n as the endpoint, the vector is defined by the subtraction of the coordinates of n by the coordinates of m, hence:

v = (2 - (-15), -6 - 16) = (17, -22).

The magnitude of the vector is given by square root of the sum of the squares of the components, hence:

|v| = sqrt(17² + (-22)²) = 27.80.

The direction angle is the arc tangent of the division of the vertical component of the vector by the horizontal component of the vector, hence:

θ = arctan(-22/17)

θ = -52.3.

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Answer:

6 out of 7 6/7

Step-by-step explanation:

Mmm statistics at its best, okay lets go.

So I’m assuming this is a 7 sided die or something along those lines.

So, if you could land on any other value EXCEPT for seven, since six values are before, it would be a 6 out of 7 chance to not land on a 7.

Answer:

AEFsdgfdhzfddf

Step-by-step explanation:

The F-distribution is used to test the significance of the population coefficient of determination (option D).

The coefficient of determination, denoted as R², measures the proportion of the variance in the dependent variable that is explained by the independent variables in a regression model. It ranges from 0 to 1, where 0 indicates no relationship and 1 indicates a perfect relationship.

To determine the significance of R², the F-distribution is used. The F-test compares the variation explained by the regression model (numerator) to the unexplained or residual variation (denominator). It calculates the F-statistic, which is the ratio of the two variances.

The F-distribution provides critical values that allow us to determine whether the observed F-statistic is statistically significant or not. By comparing the calculated F-value with the critical value from the F-distribution, we can assess whether the coefficient of determination is significantly different from zero, indicating the presence of a meaningful relationship between the variables. The correct option is d.

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The value of the infinite series as n tends to 0 is: 0

Infinite series is defined as the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are important in mathematics and in such disciplines as physics, chemistry, biology, and engineering.

From the infinite series, we want to find the value of the series as n tends to 0.

We are given the series as:

x/2ˣ

At x = 0, we have:

0/2⁰ = 0/1 = 0

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Answer:

.86

Step-by-step explanation:

Exponential function formula

\(y = a ( 1 + or - r ) ^t\)

where a = initial value

r = rate of change

and t = number of years

given the equation y = 34000(0.86)^x.

r = .86

Hence the change factor is .86

Answer:

120cm

Step-by-step explanation:

it 120 cm because of length×with×hight

Answer:

3

Step-by-step explanation:

Answer:

-1/6

Step-by-step explanation:

-21/2÷6

-2 x 1/2 x1/6

-2x1/12

-1/6

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The Number of teams is  mathematically given as

N= 30100

Generally, the equation for Number of teams is  mathematically given as

X items are selected from n items by \(^nC_x\) ways

\(^nC_x = \frac{n!}{ [ (n-x)! * x! ]}\)

Number of teams

N= n(1 child and 3 adults) + n(2 child and 2 adults) + n(3 child and 1 adults) + n(4 child)

N= 16C1 * 15C3 + 16C2 * 15C2 + 16C3 * 15C1 + 16C4 * 15C0

N= 16 * 455 + 120 * 105 + 560 * 15 + 1820

N= 30100

In conclusion, the Number of teams

N= 30100

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