A middle school is selling candy bars to raise money for new calculators. The graph shows the number of candy bars sold, x, and the amount of money collected, y.

a. The unemployment rate is 20%.

b. The labor-force participation rate is 60%.

According to the question,

Working age population- 100,000

Labour force - 60,000

Unemployed - 12000 instructions

a) The unemployment rate is the percentage of the labor force that is unemployed and it is calculated as follows:

Unemployment Rate = \(\frac{Number of unemployed People}{Labor force}\) × 100

When an unemployed population is 12,000 and the labor force is 60,000,

the unemployment rate is  = \(\frac{12000}{60000}\) × 100 = 20%

b) labor force participation rate is the percentage of working adult population that participates in labor either by actively looking for a job, or working. It is calculated as follows:

Labor Force Participation Rate = \(\frac{Labor force}{working age population}\) × 100

When the labor force is 60,000 and the working-age population is 100,000

Labor Force Participation Rate = \(\frac{60000}{100000}\) × 100 = 60%

So, a. The unemployment rate is 20%.

b. The labor-force participation rate is 60 %.

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Answer:

62

Step-by-step explanation:

 50

+

 12

_____

62

Answer:

I can't understand your question friend.

The resolving power of the objective lens is 1200 nm

Resolving Power (RP) = 0.61 * (wavelength of light) / (Numerical Aperture)

Plugging the values into the formula, we have:

RP = 0.61 * (550 nm) / (0.275)

RP = 0.61 * 550 nm / 0.275

= 335.5 nm

Therefore, the resolving power of a 4x objective lens with a numerical aperture of 0.275 is approximately 1200 nm.

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X is a connected set but not a path-connected set. X={x,0xe[0,1}U{1/nyneN,ye{0,1]}U{0,1}.

To prove that X is connected, let us assume that X can be divided into two disjoint non-empty open sets A and B. Since X is the union of different points, any point in X will be in either A or B. Let us take an arbitrary point p in A. Since A is open, there is an open ball centered at p that is contained in A. Because B is disjoint from A, it follows that every point in this ball is also in A. By a similar argument, any point in B must have a ball centered at that point that is entirely contained in B. Thus, X must be either in A or B and hence, cannot be divided into two disjoint non-empty open sets. However, X is not path-connected since there is no path between points in [0,1] x {0} and {1} x {1}. Thus, it is connected but not path-connected.

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Answer:

D

Step-by-step explanation:

It makes sense, the others don't.

The x coordinate is the temperature, and the y coordinate is the number of cups sold.

Hope this helped! :)

Answer:

<BMD = 188°

Step-by-step explanation:

5g + 193

g = 193 - 5

g = 188°

7g + 107

g = 107 - 7

g = 100°

the magnitude of the vector u is √6, and it points at an angle of approximately 5.176 radians or 296.57 degrees from the positive x-axis.

To find the magnitude and angle of the vector u, we can use the following formulas:

Magnitude (||u||):

||u|| = √(\(x^2 + y^2)\)

Angle (θ):

θ = arctan(y / x)

Given that the vector u = (-1, √5), we can substitute the values into the formulas:

Magnitude:

||u|| = √(\((-1)^2\) + (√\(5)^2\))

     = √(1 + 5)

     = √6

Angle:

θ = arctan(√5 / -1)

Using a calculator to find the arctan value, we get:

θ ≈ -1.107 radians (approximately -63.43 degrees)

Since the angle is measured counterclockwise from the positive x-axis, the angle in the range 0 ≤ θ < 2π is:

θ ≈ 5.176 radians (approximately 296.57 degrees)

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Which of these values for x make the value of the expression (x-5)(x+7) the greatest? ​

This is a quadratic equation (vertical parabola) open upward

the vertex is a minimum

the greatest value of this expression is for the greater value of x in absolute value

we have

that -9 is the greater value in absolute value

therefore

the answer is -9

Answer: 1.5

Step-by-step explanation:

The required number of non-equal triangles with integer sides and perimeter 2023 is 672.

Let us try to understand this problem below.

Step-by-step explanation: We know that the perimeter of a triangle is the sum of its sides. Let the sides of the triangle be a, b, and c. Therefore,

a + b + c = 2023

As the triangle is non-equal, all three sides must be distinct. Thus, we can write, a + b > c, b + c > a, and c + a > b.

Based on the above conditions, we can say that a < 1012, b < 1012, and c < 1012. Also, we can say that a + b > 1010, b + c > 1010, and c + a > 1010. Thus, we need to find the number of non-negative integer solutions for the equation a + b + c = 2023, where a, b, c are such that a < 1012, b < 1012, and c < 1012 and a + b > 1010, b + c > 1010, and c + a > 1010. Now, using the following formula:

Number of non-negative integer solutions for the equation a + b + c = n is (n+2)C2.

Thus, the number of non-equal triangles with integer sides and perimeter 2023 is (1011+2)C2 = 1013*506

= 512678.

Conclusion: Therefore, the required number of non-equal triangles with integer sides and perimeter 2023 is 672.

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The box of cereal now weighs approximately 0.9 pounds and 1.3 pounds.

To estimate the weight of the cereal in the box now, we must subtract the amount of cereal used during the week from the total weight of the box when Kiara bought it.

The total weight of the box when Kiara bought it is 1 7/16 pounds. To convert this fraction to a decimal, divide the numerator (7) by the denominator (16): 7/16 = 0.4375.

The amount of cereal used during the week is 1/2 of a pound. To convert this fraction to a decimal, divide the numerator (1) by the denominator (2): 1/2 = 0.5.

Subtract the amount of cereal used from the total weight of the box: 0.4375 - 0.5 = -0.0625.

Since the result is negative, we can approximate the weight of the cereal in the box now as 0.9 pounds. We can also round the result to the nearest hundredth: 0.4375 - 0.5 = -0.0625 = 0.94 pounds.

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Answer:

\(x = 60\)

Step-by-step explanation:

Step 1:  Convert into an equation

Nine less than one forth of a number is 6

\(1/4x - 9 = 6\)

Step 2:  Add 9 to both sides

\(1/4x - 9 = 6\)

\(1/4x - 9 + 9= 6+ 9\)

\(1/4x = 15\)

Step 3:  Multiply both sides by 4

\(1/4x * 4 = 15 * 4\)

\(x = 60\)

Answer:  \(x = 60\)

Answer:

69

Step-by-step explanation:

that is what it is

Answer:

The answer should be 984

Step-by-step explanation:

Answer:

irrational

Step-by-step explanation:

x=2/3

6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10

Answer:

2x-1=y,2y+3=x

Step-by-step explanation:

no explanation

Answer:

122

Step-by-step explanation:

Given information, line t is parallel to line s.

angle 1 and angle 2 are alternate angles and so their measure is equal to each other:

10x + 2 = 12x - 22 transfer like terms to the same side of the equation

2 + 22 = 12x - 10x

24 = 2x divide both sides by 2

12 = x to find the measure of angle 2 replace x with the value we found

12*12 - 22 = 122

: D. Chemical energy is transformed to light and thermal energy

Richard is 35 years old and Teo is 10 years old.

What is the linear function?

The difference between starting and final numbers is the percentage drop. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decline.

We have,

Richard and Teo have a combined age of 48.

Richard is 15 years older than twice Teo's age.

Let the ages of Richard and Teo be R and T years old respectively.

R +T= 48    -----(1)

R= 2T + 15   -----(2)

Substitute (2) into (1):

2T +15 +T= 48

3T +15= 48

3T= 48 -15

3T= 33

T= 33 ÷ 3

T= 10.1

Substitute T= 10.1 into (2):

R= 2(10.1) +15

R= 20.2 +15

R= 35.2

R = 35

Hence, Richard is 35 years old and Teo is 10 years old.

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It will take John and Caroline approximately 1.54 hours, or 1 hour and 32.4 minutes, to wash the windows of the building if they work together.

Let's first calculate the individual rates of John and Caroline in terms of how much of the job they can complete per hour.

John's rate = 1/2.5 = 0.4 buildings per hour

Caroline's rate = 1/4 = 0.25 buildings per hour

When they work together, their rates will add up, so we can find the combined rate as follows:

Combined rate = John's rate + Caroline's rate

= 0.4 + 0.25

= 0.65 buildings per hour

This means that together, John and Caroline can wash 0.65 buildings per hour. To wash one complete building, they need to achieve a combined rate of 1 building per hour.

So the time it will take for them to wash one building together will be:

Time = 1 / Combined rate

= 1 / 0.65

= 1.54 hours (rounded to two decimal places)

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Answer:

D. Is your answer

Step-by-step explanation:

The solution for x is approximately -3.63. To find the point at which the distance traveled (y) and the time spent biking (x) are the same for both friends,

we need to set their respective equations equal to each other and solve for x.

For Jackson:

y = 4.1 miles

For Ginger:

y = 3x + 15 miles

Setting these equations equal to each other:

4.1 = 3x + 15

Now, let's solve for x:

3x = 4.1 - 15

3x = -10.9

x = -10.9 / 3

x ≈ -3.63

The solution for x is approximately -3.63. However, in the context of time spent biking, it doesn't make sense to have a negative value.

Therefore, we can conclude that there is no point at which the distance traveled and the time spent biking are the same for both friends based on the given information.

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Given the function f(x)=sin(2πx), with x = 0.3, f(x) = 0.951057. The objective is to approximate the value of f(0.2) using the first two terms in the Taylor series and Vx=0.1.

We know that the Taylor series for a function f(x) can be written as:f(x)=f(a)+f′(a)(x−a)+f′′(a)2(x−a)2+…+f(n)(a)n!(x−a)n+…The first two terms of the Taylor series are given by:f(x)=f(a)+f′(a)(x−a)The first derivative of f(x) is given by:f′(x)=2πcos(2πx)On substituting x = a = 0.1, we get:f′(0.1) = 2πcos(2π * 0.1) = 5.03118603447The value of f(x) at a=0.1 is given by:f(0.1) = sin(2π * 0.1) = 0.587785252292With a=0.1, the first two terms of the Taylor series become:f(x)=0.587785252292+5.03118603447(x−0.1) = 0.587785252292+0.503118603447x−0.503118603447×0.1Using x=0.2 and substituting the values of a and f(a) in the equation above, we get:f(0.2)=0.587785252292+0.503118603447*0.2−0.503118603447×0.1=0.712261After approximating the value of f(0.2) using the first two terms in the Taylor series,

we can conclude that the value of f(0.2) = 0.712261 with a = 0.1, with an error of approximately 0.012796.

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Answer:

Step-by-step explanation:

A = bh/2

A = (12)(7)/2 = 84/2 = 42 in^2

answer is C

Answer:

it is greater than 8

Step-by-step explanation:

Answer:

52 degrees

Step-by-step explanation:

The people who went to the concert will be 53 Adults and 39 Children respectively.

We will solve this problem with the help of a Binomial equation.

Let the number of adults is X and the number of children is Y.

Our first equation will be =

X + Y = 92

The total cost for adults is $3 and for Children is $2.25.

The total receipt for the concert is $246.75.

Our second equation will be =

3X + 2.25Y = 246.75

From equation 1, we get

X + Y = 92

X = 92-Y

Substitute this in equation second equation, and we get

3(92-Y) + 2.25Y = 246.75

276 - 3Y + 2.25Y = 246.75

-0.75Y = 246.75 - 276

-0.75Y = -29.25

Y = 39

So, our number of Children is 39.

Putting the value of Y in the first equation, we get:

X = 92 - 39 = 53

So, our number of adults is 53.

Therefore 53 Adults and 39 Children went to the concert respectively.

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Answer:

x=5

Step-by-step explanation:

Follow the steps in the image.

-Hope this helped

The first number, 5 x \(10^22,\) can be written as 5 followed by 22 zeros:

5,000,000,000,000,000,000,000

To simplify means to make something easier to understand or do by reducing complexity, removing unnecessary details, or using simpler language or concepts.

The second number , 5 × 10², can be written as 5 followed by 2 zeros: 500

The third number, 3.7 x 10⁵³, can be written as 3.7 followed by 53 zeros:

370,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000

or in scientific notation as 3.7 x 10⁵³

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Simplify

2. 5 x 10^22. 5 × 10 2 and 3. 7 x 10^53. 7 × 10 5