An example of civic virtue is
A) doing chores around the house
B) supporting local sports teams
C) attending and graduating from college
D) volunteering for a community program

=======================================================

Explanation:

The angles SPT and TPU marked in red are congruent. They are congruent because of the similar arc markings.

Those angles add to the other angles to form a full 360 degree circle.

Let x be the measure of angle SPT and angle TPU.

86 + 154 + 60 + x + x = 360

300 + 2x = 360

2x = 360-300

2x = 60

x = 60/2

x = 30

Each red angle is 30 degrees.

Then,

angle SPQ = (angle SPT) + (angle TPU) + (angle UPQ)

angle SPQ = (30) + (30) + (86)

angle SPQ = 146 degrees

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Another approach:

Notice that angles QPR and RPS add to 154+60 = 214 degrees, which is the piece just next to angle SPQ. Subtract from 360 to get:

360 - 214 = 146 degrees

Answer:

Solution: (3x-10)x4–30x(x+15)

=120x-400-30x-450

=90x-850

=1400

90x=2250

x=25

so p=40x(3x-10)

=40x(3x35-10)

=40x65

=2600 cm^2

give me crown I did hard work for your answer

Answer:

2600 \(cm^2\)

Step-by-step explanation:

Let's find the area of both paintings in order to find x

P = Q + 1400

Use distributive property

P = 40(3x - 10) = 120x - 400

Q = 30(x + 15) = 30x + 450

Substitute P and Q

120x - 400 = 30x + 1400 + 450

120x - 400 = 30x + 1850

Plus 400 on both sides and minus 30x on both sides.

90x = 2250

Solve

x = 25

Substitute x to find the area of P

3x - 10 = 75 - 10 = 65

65 * 40 = 2600

The answer is 2600 \(cm^2\)

Hope this helps :)

Have a good day!

Answer:

P = 4s

Step-by-step explanation:

All the numbers in column P are equal to 4 times the numbers in column s

To determine the vertices of image U′V′W′ after a 180° counterclockwise rotation, we can apply the following transformation rules:

Using these rules, we can find the vertices of image U′V′W′ as follows:

Therefore, the vertices of image U′V′W′ after a 180° counterclockwise rotation are U′(0, -2), V′(1, -3), and W′(3, -3).

So, the answer is option (b) U′(0, −2), V′(1, −3), W′(3, −3).

30+20+50 = 100 ml total. 20 ml is orange juice.

So, 30/100 reduce by dividing top and bottom by 30 gives

3/10 is the proportion of orange juice in the fruit cocktail.

Hope this helps! :)

Answer:

3/10

Step-by-step explanation:

First, find the total amount of liquid for a drink with 30 mls of orange juice
Assume volumes can be added
30+20+50 = 100 ml
the percentage/proportion of orange juice in the drink is the number of mls of orange juice divided by the total volume
so
30/100
which can be reduced to 3/10

Answer:

  8006 km

Step-by-step explanation:

The radius of the Earth can be used to find the circumference. The difference in latitude compared to the full circle of 360° will give the fraction of that circumference that is the distance of interest.

Reportedly, the radius of the Earth is about 6371 km. Then the circumference is ...

  C = 2πr

  C = 2π(6371 km) ≈ 40,030.2 km

The angle between the two cities as measured at the center of the Earth is given by the difference in latitude. We can consider North Latitude to be positive, and South Latitude to be negative. Then the difference is ...

  (10° -(-62°)) = 72°

As a fraction of the full central angle, that is ...

  72°/360° = 1/5

This fraction of the entire circumference is ...

  (1/5)(40,030.2 km) ≈ 8,006 km

The distance between the two cities is about 8,006 km.

__

Additional comment

The shape of the Earth is called an "oblate spheroid." It has a bulge south of the equator, so is not a perfect sphere. Reportedly the longitudinal circumference is about 40,075 km, a little farther than we computed. One-fifth of that distance is 8015 km.

The perimeter of the room will be \(56x^6y^5z^3\) feet

A square is quadrilateral with 4 sides. The formula for calculating the area of the shape is given as:

A = L²

Given the following parameters

A = \(196x^{12}y^{10}z^6\)

Substitute

L²\(=196x^{12}y^{10}z^6\)
\(L=\sqrt{196x^{12}y^{10}z^6}\\L=14x^6y^5z^3\)

Determine the perimeter

Perimeter = 4L

Perimeter = 4(14x^6y^5z^3)

Perimeter = \(56x^6y^5z^3\)

Hence the perimeter of the room will be \(56x^6y^5z^3\) feet

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Answer:

d

Step-by-step explanation:

Answer:

We have this equation: y = 4x + 6 and we need to solve it for x, so x should be at one side of the equation without any otehr number.

y = 4x + 6

Now, we pass the 4x at the left substracting:

y - 4x = 6

And the y summing at the other side:

4x = 6 + y

And now, we can pass the 4 which is multiplying x dividing to the other side

x = \(\frac{6+y}{4}\)

Answer:

94.5 yd^3

Step-by-step explanation:

The volume of a rectangular prism is given by the formula:

A = lwh

Where:

l = length

w = width

h = height

Volume is how much space a 3d figure occupies.

USE THE FORMULA WITH THE GIVEN DIMENSIONS:

A = (7)(4.5)(3)

= (31.5)(3)

= 94.5

Volume is measured in cubic yards, in this case.

Therefore your answer is 94.5 yd^3

I hope I helped!

Answer:

Step-by-step explanation:

length = 7 yd

Width = 4.5 yd

height = 3 yd

Volume of rectangular prism = length * width * height

                                                = 7 * 4.5 * 3 = 94.5 yd³

The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.

A closed, two-dimensional, flat or planar structure with straight sides is referred to as a polygon. Its sides do not bend in any way. A polygon's sides are also referred to as its edges. A polygon's vertices (or corners) are the places where two sides converge. Polygons and polyhedrons are two names for geometric shapes having three or more sides. The names of a few polygons are listed below. In order to link and develop projects and blockchains that are compatible with Ethereum, Polygon (MATIC), a cryptocurrency and technological platform, was introduced. A fully closed polygon is a flat, two-dimensional form with straight sides. They must have straight sides. Any number of sides can be found in polygons.

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Answer:

28 minutes

Step-by-step explanation:

8=1

16=2

24=3

4=1/2

The fourth ordered pair using the two

sequences is ( 7/3 ,106) .

The first sequence is constructed by first multiplying the terms by 2 and then adding one-third starting from zero. So, sequence starts from 0.

First term of first sequence, a₁ = 0

a₂ = (2x0) + 1/3 = 1/3

a₃ = (2x1/3) + 1/3 = 2/3 + 1/3 = 1

a₄ = (2x1) + 1/3 = 2 + 1/3 = 7/3

Hence, the sequence is 0, 1/3, 1, 7/3, ...

The second sequence is constructed by first adding one half in terms and then multiplying by 4. The sequence starts from 1 ,

a₁ = 1

a₂ = (1 +1/2) × 4 = (3/2)4 = 6

a₃ = (6+1/2) x 4 = 13/2 x 4 = 26

a₄ = (26 + 1/2)× 4 = 53/2 x 4 = 106

Hence, the sequence is 1, 6, 26, se106, ...

Therefore, the fourth terms of the two sequences are the following, 7/3 and 106.

So, required ordered pairs is ( 7/3, 106).

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כ

for  x² + 2x + 16 = 0, we have to add (2/2)²  number would have to be added to "complete the square"

A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .

x² + 2x + 16 = 0

Subtract 16 on both sides

x² + 2x = -16  

(Add (2/2)²  on both sides)

x²  + 2x + 1 = -16 + 1    

Factor using Perfect Square Trinomial and add -16 and 1

(x + 1)²  = -15    

Square root on both sides

x + 1 = ±√-15    

Subtract 1 on both sides and use i = √-1

x = -1 ± i√15    

Hence, for  x² + 2x + 16 = 0, we have to add (2/2)²  number would have to be added to "complete the square"

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Answer:

80 sets costing $25/set

120 sets costing $45/set

Step-by-step explanation:

let x = number of sets costing $25/set

let y = number of sets costing $45/set

we have to build eqautions form the info given

(1) . total sets = 200   x + y =200

(2) . total sets = 7400  25x + 45y = 7400

use the substitution method

(rest of work shown below in the picture)

Answer:

D

Step-by-step explanation:

The quotient of n and 8 is \(\frac{n}{8}\) and 13 more than this is

\(\frac{n}{8}\) + 13 → D

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

Hope this help

Step-by-step explanation:

The correct options are (1) and (3)

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

Given that, a right triangle Δ DEF,

We know that the sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.

Therefore, If D is the reference angle then, sinD = 8/√185

and B is the reference angle then, sinB = 11/√185

Hence, The correct options are (1) and (3)

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Answer:

A. 6oz

Step-by-step explanation:

Beause thats the lowest number on the chart.

Answer: A. 60 oz

Step-by-step explanation: I think it would be A because 0.89 is smaller than C, D, and B.

Answer:

29/6 or 5 4/6 as a mixed fraction

Step-by-step explanation:

Simplify the following:

(8 - 1/2×6 + 24)/6

Hint: | Reduce (-6)/2 to lowest terms. Start by finding the GCD of -6 and 2.

The gcd of -6 and 2 is 2, so (-6)/2 = (2 (-3))/(2×1) = 2/2×-3 = -3:

(8 + -3 + 24)/6

Hint: | Evaluate 8 + 24 using long addition.

| 1 |  

| 2 | 4

+ | | 8

| 3 | 2:

(32 - 3)/6

Hint: | Subtract 3 from 32.

| 2 | 12

| 3 | 2

- | | 3

| 2 | 9:

Answer: 29/6

Answer:

I think the answer is 5

Step-by-step explanation:

Answer:

  (b)  5 units

Step-by-step explanation:

You want to know the length of the segment from (-3, -2) to (0, 2).

The formula for the distance between two points is based on the Pythagorean theorem. The distance is the root of the sum of the squares of the horizontal distance and the vertical distance.

  \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

For the given points, the distance is computed to be ...

  \(d=\sqrt{(0-(-3))^2+(2-(-2))^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}\\\\d=5\)

The line segment is 5 units long.

__

Additional comment

The numbers (3, 4, 5) comprise a "Pythagorean triple", a set of three integers that satisfy the Pythagorean relation. You will see the 3-4-5 right triangle a lot in algebra and geometry problems, along with its multiples, such as 6-8-10.

You don't have to go to the trouble of using the formula. You can count grid squares on the graph to see the triangle is a 3-4-5 triangle.

The probability of getting the same number is 1/6.

The ratio of good outcomes to all possible outcomes of an event is known as the probability.

utilizing two ethical six-sided dice.

The likelihood that the dice will produce the same number must be determined.

36 total outcomes were obtained.

The positive results are (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6).

6 good outcomes total.

Therefore, the likelihood of an event is equal to the ratio of good outcomes to all possible outcomes.

Changing the values

Event probability is 6/36, or 1/6.

As a result, there is a 1/6 chance that both dice will reveal the same number.

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The null hypothesis that the pump's average flow rate is 10 liters/sec cannot be ruled out at the 0.01 level of significance.

A one-sample t-test can be used to determine whether a specific pump's average flow rate is 10 litres per second.

The alternative hypothesis is that the population mean flow rate is not 10 liters/sec, contrary to the null hypothesis that it is.

The test statistic, where the hypothesised mean is 10 liters/sec, is calculated as follows: t = (sample mean - hypothesised mean) / (sample standard deviation / sqrt(sample size)).

First, we must determine the sample mean and sample standard deviation: sample mean = (10.05 liters/sec) sample standard deviation =

10.05 litres per second is the sample mean (10.2 + 9.7 + 10.1 + 10.3 + 10.1 + 9.8 + 9.9 + 10.4 + 10.3 + 9.8)/10.

0.23 litres per second.

The formula for t is given as follows after substituting these values: t = (10.05 - 10) / (0.23 / \(\sqrt{10}\)) = 1.3

For this test, n - 1 = 9 represents the degrees of freedom.

The crucial t-value is found to be 3.250 using a t-distribution table with 9 degrees of freedom and a significance threshold of 0.01 (two-tailed).

We are unable to reject the null hypothesis since the calculated t-value (1.3) is less than the crucial t-value (3.250).

Therefore, we lack sufficient data to draw the conclusion that the pump's average flow rate deviates from 10 liters/sec at the 0.01 level of significance.

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Answer:

I'm not sure about my answer but I think it is y=0.85x

Step-by-step explanation:

0.85 is the rate and the rate = the cost of ounces of ice cream which is why 0.85 has an x to it

Answer:

A

Step-by-step explanation:

For a function, the input only has one output. For example, if we take gender as our input and age as our output. There can be more than one female or male with different ages.

A function does not have to be a quantitative number, as long as it follows the  one output for every input rule.

Answer: Choice A

No, this relation is not a function. For each gender, there can be more than one age associated with it.

=============================================================

Explanation:

A function must have one output for each input.

In this case, the input is the gender. It is possible to have multiple boys of different ages for instance, which means that the input "boys" does not lead to a single output. This is why we don't have a function.

A numeric example would be having a relation with points (5,7) and (5,8). The input x = 5 leads to multiple outputs y = 7 and y = 8 simultaneously. This relation is also not a function.

We have an equation that represents a line. We can rewrite the equation as follows:

For finding two points of the equation in order to find the line, we can proceed as follows:

• First, the line has a slope m = -2 (it is negative), so as the values for x increments, the values for y has a negative increment (or the values are less as the values tends to infinity)

• Second, give two values for the line, for example, when x = -5 and when x = 5.

In this case, for x = -5:

For x = 5

Then we have to points of the line (-5, 14) and (5, -6). Then, the graph representation is (approximately):

Graphically, the zero for the expression is near to 2.

For y = 0, we have that

So, the zero for this line is 2. Therefore, graphically, we approximate the zero to a value near to 2. The actual value is 2. We can make this for any other type of graph. As more precise the graph, the more accurate will be the result graphically.

The amount of juice the cup can hold given that the cup has diameter of 8 centimeters and a height of 12 centimeters is 602.88 cm³

To know the amount of juice the cup can hold, we shall obtain the volume of the cup.

We shall use the formula for obtaining volume of cylinder to obtain the volume of the cup. Details below:

Volume = πr²h

Volume = 3.14 × 4² × 12

Volume = 3.14 × 16 × 12

Volume = 602.88 cm³

Thus, we can conclude from the above calculation that the amount of juice the cup can hold is 602.88 cm³

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The number of ways cans a president, vice president, and secretary be chosen from a committee of 9 people, assuming one person cannot hold more than one position, is 84.

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

A president, vice president, and secretary be chosen from a committee of 9 people,

Calculate the number of ways by using the combination as shown below,

\(N = 9C_3\)

Here, N is the number of ways,

N = 9! / [3!(9-3)!]

N = 9! / [3!6!]

N = 84

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Answer:

5.6667in

Step-by-step explanation:

I can't show you the diagram at the moment but I hope that helps.