List the four tools of social engagement,then explain
how you will be using each one of them. support your answer with
clarifying example.

Answer:

the question is supposed to be \begin{gathered}8 \sqrt 200 - 3\sqrt 162\\\end{gathered}8200−3162

i think the answer is 53√sqrt 2532

Answer:

y= 7/9x -17/9

Step-by-step explanation:

(5,2) (-4,-5)

slope intercept of a line is

y = mx +b

m = y2-y1/ x2-x1

= -5-2/ -4-5 = -7/-9

=7/9

if the line is passing through (5,2)

2= 7/9(5)+ b

2=35/9 +b

b = 2-35/9

b= -17/9

y= 7/9x -17/9

Answer:

Step-by-step explanation:

200 miles

Answer:

9a*72

Step-by-step explanation:

We can use the distributive property to help us out. We "give out" the nine to both numbers to get 9*a+9*8=9a*72

Answer:

The answer is: 1 2 3 4 and 6

Step-by-step explanation:

I did the assignment dont select "the equivalent expression is 9a + 8"

Answer: Alternative hypothesis (H1): The diet effectively reduces the average systolic blood pressure to below 150 in the patient group.

Step-by-step explanation:

Alternative hypothesis (H1): The diet effectively reduces the average systolic blood pressure to below 150 in the patient group.

The congruent angles, ∠ACD and ∠BCD formed by the angle bisector \(\overline{DC}\) the congruent segments \(\overline{AC}\) and \(\overline{BC}\), and the segment \(\overline{DC}\) (congruent to itself, indicates that ΔACD ≅ ΔBCD by SAS

The SAS (Acronym for Side-Angle-Side) congruency rule states that two triangles, A and B are congruent if two sides and an included angle of the triangle A are congruent to the two sides and an included angle of the other triangle B.

The specified information are;

The bisector of ∠ACB = \(\overline{DC}\)

Segment \(\overline{AC}\) ≅ \(\overline{BC}\)

Required; to prove that ΔACD ≅ ΔBCD

The two-column method can be used to prove the congruency of the triangles as follows;

Step     \({}\)             Statement            \({}\)        Reasons

1.  \({}\)                    \(\overline{DC}\) bisects ∠ACB          Given

                 \({}\)      \(\overline{AC}\) ≅ \(\overline{BC}\)

2.  \({}\)                  ∠ACD ≅ ∠BCD              Definition of bisected angles

3.                \({}\)    \(\overline{CD}\) ≅ \(\overline{CD}\)                       Reflexive property of congruency

4. \({}\)                   ΔACD ≅ ΔBCD               SAS congruency rule

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Answer:

No.

Step-by-step explanation:

According to the law of exponent:-

\( \displaystyle \large{( \frac{a}{b}) ^{m} = \frac{ {a}^{m} }{ {b}^{m} } }\)

Therefore:-

\( \displaystyle \large{( \frac{a}{4} )^{5} = \frac{ {a}^{5} }{ {4}^{5} } }\)

Given:

In rectangle ABCD, diagonals AC and BD intersect at E, AE=3x-28 and DE=.5x+12.

To find:

The length of AC.

Solution:

We know that, diagonals of a rectangle are equal and they bisect each other.

In rectangle ABCD, diagonals AC and BD intersect at E, so

\(AE=BE=CE=DE\)          ...(i)

Taking \(AE=DE\), we get

\(3x-28=0.5x+12\)

\(3x-0.5x=28+12\)

\(2.5x=40\)

Divide both sides by 2.5.

\(x=\dfrac{40}{2.5}\)

\(x=16\)

Now,

\(AE=3x-28\)

\(AE=3(16)-28\)

\(AE=48-28\)

\(AE=20\)

Using segment addition property,

\(AC=AE+CE\)

\(AC=AE+AE\)         [Using (i)]

\(AC=20+20\)

\(AC=40\)

Therefore, the length of AC is 40 units.

The polar coordinates of the rectangular coordinates are  (4,5π/3)Option D is correct.

A two-dimensional coordinate system in which a distance from a reference point and an angle from a reference direction identify each point on a plane is as the polar coordinate.

The polar coordinate standard form is;

\(\rm x = rcos \theta \\\\\ y= rsin \theta\)

The value of the r is the resultant of the coordinate;

\(\rm r= \sqrt{2^2+(-2\sqrt{3})^2 } \\\\r= 4\)

The angle is found as ;

\(\theta = tan^{-1}(\frac{y}{x}) \\\\ \theta = tan^{-1} \frac{-2\sqrt{3} }{2} \\\\ \theta = -60^0\)

\(x= rcos \theta \\\\ x= 4 cos(-60) \\\\ x= rcos \theta \\\\ x= 4 cos [-\frac{\pi}{3} ]\\\\ \rm y = r sin \theta \\\\ y= 4 sin [-\frac{-\pi}{6}]\)

Hence the polar coordinates of the rectangular coordinates are  (4,5π/3)Option D is correct.

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Answer:

5.7

Step-by-step explanation:

Answer:

circumference=2πr

18= 2×3.14×r

r= 18/2×3.14

diameter = 5.73cm

Answer:

$160 do you need the work?

Answer:

$160

Step-by-step explanation:

Money raised = 2/3 of 240

                      \(=\frac{2}{3}*240\\\\=2*80\\\\\)

                     = $ 160

The volume of the prism is 5/3 cubic centimeters. The answer is option B.

To find the volume of the prism, we need to find the number of cubes that fit inside it. From the figure, we see that the length is 5 cubes, the height is 3 cubes, and the width is 3 cubes.

Therefore, the total number of cubes is:

5 x 3 x 3 = 45

Each cube has a volume of \((1/3)^3\)= 1/27 cubic centimeters.

To find the total volume of all the cubes, we multiply the number of cubes by the volume of each cube:

45 x (1/27) = 5/3

So, the volume of the prism is 5/3 cubic centimeters.

Therefore, the answer is (B) 5/3.

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the answer will be 5,427 because we need to round the six and since 8 is greater that 5, we aproximate 6 to 7

Answer:

1. 3 inches per hour

2.72 miles per hour

Answer:

1. 3 2. 72

Step-by-step explanation:

For number 1 and 2 you have todivide them

As per the given integer, the number of ways can 110 be written as the sum of 14 different positive integers 846,320.

Let's first consider what the largest possible integer could be in the sum. Since we want to use 14 different positive integers, we know that the largest integer must be at least 8 (since if it were 7 or smaller, we could not obtain 14 different integers by using the same integer twice).

To maximize the largest integer, we want the other 13 integers to be as small as possible. If we use 1 as the smallest integer, then the sum of the first 13 integers is 1+2+3+...+12+13 = 91. Therefore, the largest integer must be 110 - 91 = 19.

Now we can analyze cases. Let's consider the possible values of the largest integer in the sum, from 8 to 19. For each value, we will count the number of ways to obtain that value, and then sum up the results.

If the case 2 is the Largest integer is 19, then

In this case, we need to find the number of ways to write 91 as the sum of 13 different positive integers, each of which is at most 18 (since we have used 19 already). This is a classic problem in combinatorics, and the answer is given by the formula for the partition function P(13,18). Using a computer or calculator, we can compute that P(13,18) = 190,569. Therefore, there are 190,569 ways to write 110 as the sum of 14 different positive integers, with the largest integer being 19.

If the case 2 is the Largest integer is 18, then

In this case, we need to find the number of ways to write 92 as the sum of 13 different positive integers, each of which is at most 17 (since we have used 18 already). Again, this is a classic problem in combinatorics, and the answer is given by P(13,17). Using a computer or calculator, we can compute that P(13,17) = 108,537. Therefore, there are 108,537 ways to write 110 as the sum of 14 different positive integers, with the largest integer being 18.

We can continue in this way, considering all possible values of the largest integer from 8 to 19. Finally, we sum up the results to obtain the total number of ways to write 110 as the sum of 14 different positive integers:

P(13,18) + P(13,17) + P(13,16) + ... + P(13,8)

This sum can be computed using a computer or calculator, and the final answer is 846,320.

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Answer: for C it is that 1/2 is half of an whole therefore 1/2 is  half is less than the rest

for D you will have to add more 1/2 for it to be greater than but for now, it is less than.

for E you will have to add more 1/2 for it to be greater than

a very fast way to do it:

Trivially 8.8*5>10, so the power of 10 is 6+2+1 = 9.

Therefore, the answer is \(\boxed{4.4 \text{ x }10^9}\)

Answer:

\(\displaystyle y=\frac{1}{2}x-2\)

Step-by-step explanation:

The equation of the line in slope-intercept form is:

y=mx+b

Being m the slope and b the y-intercept.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

The points are (-6,-5) and (-4,-4), thus:

\(\displaystyle m=\frac{-4+5}{-4+6}=\frac{1}{2}\)

Knowing the value of the slope, the equation of the line is:

\(\displaystyle y=\frac{1}{2}x+b\)

The value of b can be found using any of the points in the equation and solving for b. Let's pick the point (-6,-5):

\(\displaystyle -5=\frac{1}{2}(-6)+b\)

Operating:

-5=-3+b

Solving:

b=-2

The equation of the line is:

\(\boxed{\displaystyle y=\frac{1}{2}x-2}\)

Answer:

x=72

Step-by-step explanation:

\(x\div 9=8\)

Multiply both sides by 9 to isolate x:

\(x=8\cdot 9=72\)

Hope this helps!

Answer:

Last one is the correct answer.

Step-by-step explanation:

 Natural resources such as coal, natural gas and oil provide heat, light and power.

Answer:

its the last one im pretty sure AND WHY IS YOU COMPUTER DIRTY

Part A: An open circle on a number line represents an excluded value, indicating that the endpoint is not included in the solution set of the inequality. It is used when the inequality includes the symbols < (less than) or > (greater than), which denote strict inequality.

Part B: A closed circle on a number line represents an included value, indicating that the endpoint is part of the solution set of the inequality. It is used when the inequality includes the symbols ≤ (less than or equal to) or ≥ (greater than or equal to), which denote inclusive inequality.

Part C: The shading on the number line represents the range of values that satisfy the given inequality. It indicates which values make the inequality true. Typically, the shading is done to the right or left of the circle(s) depending on whether the inequality is greater than or less than.

Part A:

For example, if we have the inequality x > 2, we would represent it with an open circle at 2 on the number line. This means that 2 itself is not a valid solution, but any value greater than 2 is included.

Part B:

For example, if we have the inequality x ≥ -3, we would represent it with a closed circle at -3 on the number line. This means that -3 itself is a valid solution, as well as any value greater than or equal to -3.

Part C:

For example, if we have the inequality x > 2, we would shade the portion of the number line to the right of the open circle at 2. The shaded region represents all the values greater than 2 that satisfy the inequality. The shading visually illustrates the solution set and helps identify the range of valid values for the variable in the given inequality.

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Answer:

80/295 = 27%

Step-by-step explanation:

Answer:

30 % of the costumers where serve tea

Answer:

12

Step-by-step explanation:

Remember, when you add two same symbols, the outcome will be positive.

- + - = +

- + + = -

+ - + = +

+ - - = -

9514 1404 393

Answer:

  (x +6)(3x +4)

Step-by-step explanation:

The usual approach to this is to look for factors of the product 3·24 that have a sum of 22.

  72 = 1·72 = 2·36 = 3·24 = 4·18 = 6·12 = 8·9

Sums of these factor pairs are 73, 38, 27, 22, 18, 17.

Now, you can rewrite the expression splitting the middle term into two parts:

  3x² +4x +18x +24

  x(3x +4) +6(3x +4) . . . . . . factor by grouping

  (x +6)(3x +4) . . . . . . . . . . your factored form

_____

Additional comment

I find this method easiest to explain and to do without error. There are various "X" methods in which you write the product at the top (3·24) and the sum at the bottom (22), then fill in the sides with the factors having that product and sum (4, 18). When the leading coefficient is not 1, there are methods added to this that get you to the correct factors.

One such method is to use the leading coefficient inside parentheses: (3x+4)(3x+18) Then divide that product by the leading coefficient:

  (3x +4)(3x +18)/3 = (3x +4)(x +6).

In some cases, each of the binomials needs to be divided by part of the leading coefficient; not the whole thing, as here.

\(\\ \sf\Rrightarrow 3x^2+22x+24\)

\(\\ \sf\Rrightarrow 3x^2+18x+4x+24\)

\(\\ \sf\Rrightarrow 3x(x+6)+4(x+6)\)

\(\\ \sf\Rrightarrow (3x+4)(x+6)\)

Done!

Let x be the number of peaches purchased and y be the number of mangos purchased.

We want to write a system of inequalities that represents the given conditions:

1. Olivia has $15 to spend, so the total cost of the peaches and mangos must be less than or equal to $15:

2x + y ≤ 15

2. Olivia must buy no less than 8 peaches and mangos altogether, so the total number of peaches and mangos purchased must be greater than or equal to 8:

x + y ≥ 8

To solve this system of inequalities graphically, we can plot the lines corresponding to each inequality on the same graph and shade the region that satisfies both inequalities. The solution will be any point in the shaded region.

To plot the line 2x + y = 15, we can find the intercepts:

So we can plot the points (0, 15) and (7.5, 0), and draw a line passing through them.

To plot the line x + y = 8, we can find the intercepts:

So we can plot the points (0, 8) and (8, 0), and draw a line passing through them.

The shaded region that satisfies both inequalities is the region below the line 2x + y = 15 and above the line x + y = 8.

Here is a graph of the two lines and the shaded region:

    |           /

15 |         /

     |       /  .

     |     /    |

     |   /      |

     | /        |

-------+----------+------

      |          |

      |          |

      |          |

      |          |

  8  |----------+------

      0          8

The shaded region corresponds to the points that satisfy both inequalities, which include (2, 6), (3, 5), (4, 4), (5, 3), (6, 2), and (7, 1). Each of these points represents a possible combination of the number of peaches and mangos that Olivia can buy within her budget and the requirement to buy at least 8 peaches and mangos altogether.

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Answer: proportional

Step-by-step explanation: cuz i took the test and i was correct

The given ratios are not proportional.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

The given fractions are 0.2/2.6 and 0.3/3.6

Here, 0.2/2.6 =2/26

= 1/13

Now, 0.3/3.6 =3/36

= 1/12

Therefore, the given ratios are not proportional.

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The constant of proportionality of the proportional relationship is:

k = 6.

The proportionality constant k is described as k=y/x when y and x are two numbers that are proportionate to one another directly. Finding the equation y=kx, which represents the directly proportional relationship between x and y, with your particular k is possible once you know the proportionality constant.

Now in the given graph,

consider a point on the proportional graph, (5, 30):

x = 5

y = 30

Therefore , constant of probability:

k = y/x

k = 30 / 5

k = 6

Therefore, the constant of proportionality of the proportional relationship is: k = 6

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The exact solution of this equation involves solving a quadratic equation, which may not result in a simple integer value for x.

To find the point (x, y) on the function f(x) = 6 - 7x that is closest to the point (-10, -4), we need to minimize the distance between the two points.

The distance between two points (x1, y1) and (x2, y2) is given by the formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, we want to minimize the distance between the point (-10, -4) and any point on the function f(x) = 6 - 7x. So we can set up the distance equation:

d = sqrt((-10 - x)^2 + (-4 - (6 - 7x))^2)

To find the point (x, y) that minimizes the distance, we can find the value of x that minimizes the distance equation. Let's differentiate the distance equation with respect to x and set it equal to zero to find the critical point:

d' = 0

Differentiating and simplifying the equation, we get:

(-10 - x) + (-4 - (6 - 7x))(-7) = 0

Solving this equation will give us the value of x at the closest point. Plugging this x-value into the function f(x) = 6 - 7x will give us the corresponding y-value.

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Answer:

x+y ≤20

3.50 x +8 y ≤150

Step-by-step explanation:

Hi, the rest of the question is:

How do you write a system of linear inequalities to model the situation?

So, for the first inequality:

The sum of the number of soil bags (x) and plants(y) bought must be less or equal to 20.

x+y ≤20

For the second inequality:

The product of the number of soil bags (x) and the price of each bag (3.50) ; plus the number of plants bought(y) and the price of each plant (8) must be less or equal to 150.

3.50 x +8 y ≤150

In conclusion, the system is:

x+y ≤20

3.50 x +8 y ≤150

Based on the information in the graph, it can be inferred that the percentage that you forgot to write down (Thursday percentage) corresponds to the number: 35%

To find the missing percentage we must carefully analyze all the information in the table. In this case, all the percentages are proportional, so we could infer that a rule of three would be the most effective way to find the missing percentage.

To perform the rule of three we must use two of the data already shown in the table. For example, the first data:

If 11 defective containers represent 27.5%, what percentage does 14 containers represent?

In accordance with the above, we can infer that 14 defective containers represent 35%. So the correct answer is C.

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