Here are the approximate populations of three cities in the United States, expressed in scientific notation: San Jose: 1.1×10^6

; Washington: 7×10^5

; Atlanta: 4.8×10^5

Decide what power of 10 to put on the labeled tick mark on this number line so that all three countries’ populations can be distinguished.
3. Label each tick mark as a multiple of a power of 10.
4. Plot and label the three cities' populations on the number line.

Answer:

Step-by-step explanation:

The Answer is A

The equation for a parallel street that passes through the given point is y = 4x + 12

From the question, we are to determine the equation of the street that is parallel to the first street

NOTE: Two lines are parallel if they have equal slopes.

Thus,

We will determine the slope of the first street.

From the given information,

The street passes through the points (4, 7) and (3, 3)

Using the formula,

Slope = (y₂ - y₁)/(x₂ - x₁)

x₁ = 4

y₁ = 7

x₂ = 3

y₂ = 3

∴ Slope = (3 -7)/(3 -4)

Slope = -4/-1

Slope = 4

Now,

For the equation of the parallel street

The street passes through the point (-2, 4)

Since, the street is parallel to the first street,

Slope = 4

Using the point-slope form

y - y₁ = m(x - x₁)

y - 4 = 4(x - -2)

y - 4 = 4(x + 2)

y - 4 = 4x + 8

y = 4x + 8 + 4

y = 4x + 12

Hence, the equation for a parallel street that passes through the given point is y = 4x + 12

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x≥ 0 , everthing to the right of the y-axis

y≥ 0 , everthing above the x-axis

So far you are in quadrant I of the x-y plane

y ≤ 3 , everthing from the above, but also below the horizontal line y = 3

lastly y ≤ -x + 5

sketch a line leaning 45° to the left with a y-intercept of 5, shade in everthing below that line

My diagram has a simple trapezoid consisting of a

rectangle with a right-angled triangle attached

now our Objective Function is

C = -5x + 3y , which is a line with slope 5/3

letting that line go through the origin, let it slide parallel to itself over the shaded region until you reach the farthest point from the origin.

On my diagram that looks like (5,0)

Answer: Therefore, the equation of the expression 1/3 x -6 + 8/12x=12 is x = 18.

Step-by-step explanation:

To find the equation of the expression 1/3 x -6 + 8/12x = 12, we need to simplify and solve for x.

First, we can simplify the expression by converting 8/12 to 2/3:

1/3 x - 6 + 2/3 x = 12

Next, we can combine the terms with x:

(1/3 + 2/3) x - 6 = 12

Simplifying further, we can add the fractions:

(3/3) x - 6 = 12

x - 6 = 12

Finally, we can isolate x by adding 6 to both sides:

x = 18

By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.

Herein we find a picture of a geometrical system formed by two proportional right triangles with two variables: {x, y} These variables can be found by using the definition of proportionality and the Pythagorean theorem:

5 / 8 = 12 / (12 + x) = 13 / y

Then, we proceed to solve the system formed by two equations:

(12 + x) / 12 = 8 / 5

12 + x = 96 / 5

x = 96 / 5 - 12

x = 36 / 5

y / 13 = 8 / 5

y = 104 / 5

By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.

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Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

An active vibration absorber is a device used to reduce or eliminate vibrations in a mechanical system. It consists of a mass-spring-damper system, similar to the primary system experiencing vibrations.

The key difference is that the active vibration absorber is equipped with sensors, actuators, and a control system to actively counteract the vibrations.

The control system measures the vibrations of the primary system and generates a signal that is used to drive the actuator in the absorber. The actuator applies forces to the absorber mass, which counteracts the vibrations in the primary system.

The control algorithm adjusts the amplitude and phase of the actuator forces based on the measurements and desired response to achieve effective vibration cancellation. By actively generating forces that are out of phase and of equal magnitude to the primary system's vibrations, the active vibration absorber can significantly reduce the overall vibration levels.

In conclusion, an active vibration absorber is a device that utilizes sensors, actuators, and control algorithms to actively counteract vibrations in a mechanical system. It works by generating forces that are out of phase and of equal magnitude to the vibrations in the primary system, resulting in reduced vibration levels. The specific details and calculations would depend on the configuration and parameters of the active vibration absorber being referred to in Figure 3.

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Vertex is at (4,−6)and the axis of symmetry is x=4

The mean absolute percent error (MAPE) is 25%.

The mean absolute percent error (MAPE) is a measure of forecasting accuracy that quantifies the average deviation between predicted and actual values as a percentage of the actual values. In this case, the mean absolute deviation (MAD) is given as 25 units for the past 10 periods, and the total demand is 1,000 units.

To calculate the MAPE, we need to divide the MAD by the total demand and multiply by 100 to express it as a percentage. In this scenario, the MAPE is calculated as follows:

MAPE = (MAD / Total Demand) * 100

     = (25 / 1,000) * 100

     = 2.5%

Therefore, the MAPE is 2.5%, which means that, on average, the forecasts have a 2.5% deviation from the actual demand.

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The distance over which the power carried by the wave is reduced by 7.4 dB is approximately 0.4214 meters.

To determine the distance over which the power carried by the wave is reduced by 7.4 dB, we need to use the logarithmic formula for decibel (dB) calculations.

The decibel scale is logarithmic, and the relationship between power ratios and decibels is given by the formula:

dB = 10 * log10(P2 / P1)

where dB is the decibel value, P2 is the final power, and P1 is the initial power.

In this case, the power reduction is given as 7.4 dB. We can rearrange the formula to solve for the power ratio:

P2 / P1 = 10^(dB / 10)

Substituting the given dB value into the formula:

P2 / P1 = 10^(7.4 / 10)

Calculating the power ratio:

P2 / P1 ≈ 5.623

The power ratio is approximately 5.623.

Now, we know that power is inversely proportional to the square of the distance. So, we can write the power ratio as a distance ratio:

(D2 / D1)^2 = P1 / P2

Substituting the power ratio value:

(D2 / D1)^2 = 1 / 5.623

Simplifying:

(D2 / D1)^2 ≈ 0.1778

Taking the square root of both sides:

D2 / D1 ≈ √(0.1778)

D2 / D1 ≈ 0.4214

Now, we can solve for the distance ratio (D2 / D1):

D2 / D1 = 0.4214

To find the distance over which the power is reduced by 7.4 dB, we need to find D2 when D1 is known. Let's assume D1 is 1 meter.

D2 = D1 * (D2 / D1)

= 1 * 0.4214

≈ 0.4214 meters

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Part a:  What quantity order size would minimize the total annual inventory cost? Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying Cost At minimum Total Annual Inventory Cost, the formula for the Economic Order Quantity (EOQ) is used. EOQ formula is given below: EOQ = sqrt((2DS)/H)Where, D = Annual DemandS = Ordering cost

The company should place an order for 168 boxes at a time in order to minimize the total annual inventory cost.Part b: Determine the minimum total annual inventory cost.Using the EOQ, the company can calculate the minimum total annual inventory cost. The Total Annual Inventory Cost formula is:Total Annual Inventory Cost = Annual Ordering Cost + Annual Carrying CostAnnual Ordering Cost = (D/EOQ) × S = (16,800/168) × $60 = $6,000Annual Carrying Cost = (EOQ/2) × H = (168/2) × $30 = $2,520Total Annual Inventory Cost = $6,000 + $2,520 = $8,520Therefore, the minimum Total Annual Inventory Cost would be $8,520.Part c: Would you recommend the manager to use your quantity from part (a) rather than 300 boxes? Justify your answer (by determining the total annual inventory cost for 300 boxes)

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The probability is the measure of the chance that the event will occur as a result of and experiment. Mutually exclusive probability of an event complement of event a relative frequency.

What kind of probability is founded on the observed data?

What three forms of probability are there?

Three main categories of probability exist:

Probability in theory. Scientific Probability. Probability axiomatically.

Probability refers to the possibility that a specific occurrence will occur. Probability is the proportion of the number of likely outcomes to the total number of outcomes of an event.

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If all the sides and all angles are equal. Then the geometry is known as a square. Then the correct option is E.

It is a polygon with four sides. The total interior angle is 360 degrees. A square's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The polygon FGHI

If the sides are FG = GH = HI = IF and the angles are ∠F = ∠G = ∠H = ∠I

From the definition, all sides are equal and all angles are equal. Then the geometry is known as a square.

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The ordered pair (7,2) is viable and Option B is the correct answer.

Relationship between variables defines the way one variable is dependent upon the other variable.

It is given that x is the number of visitors and y is the number of winners,

It has to be seen and chosen that which ordered pair makes sense

The ordered pair is viable if the no. of visitor is positive and more than the number of winners.

Therefore ordered pair (7,2) is viable and Option B is the correct answer.

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The value of x for the length A'E' of the similar shape A'B'C'D'E' is equal to 6⅔.

Similar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other.

The side A'E' corresponds to the side A'E' and also E'D' corresponds to the side ED so;

(7). A'E'/AE = E'D'/ED

x/10 = 6/9

x = (10 × 6)/9 {cross multiplication}

x = 20/3

x = 6⅔

Therefore, the value of x for the length A'E' of the similar shape A'B'C'D'E' is equal to 6⅔

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Answer:

It will take him 4 years to catch up to Javier

Step-by-step explanation:

58 + 2x = 66

2x = 8

x = 4

4 years

Polynomial is a mathematical approximation of the data, allowing researchers to estimate values between the given data points. Interpolating polynomials are commonly used when the exact function or relationship between variables is unknown but can be approximated by a polynomial curve.

When dealing with experimental data represented by a set of points in the plane, an interpolating polynomial is a valuable tool for analyzing and estimating values within the data range. The goal is to find a polynomial equation that passes through each point, providing a mathematical representation of the observed data.

Interpolating polynomials are particularly useful when the exact functional relationship between variables is unknown or complex, but it is still necessary to estimate values between the given data points. By fitting a polynomial curve to the data, scientists and researchers can make predictions, calculate derivatives or integrals, and perform other mathematical operations with ease.

Various methods can be employed to construct interpolating polynomials, such as Newton's divided differences, Lagrange polynomials, or using the Vandermonde matrix. The choice of method depends on the specific requirements of the data set and the desired accuracy of the approximation.

It is important to note that while interpolating polynomials provide a convenient and often accurate representation of experimental data, they may not capture all the underlying intricacies or provide meaningful extrapolation beyond the given data range. Additionally, the degree of the polynomial used should be carefully considered to avoid overfitting or excessive complexity.

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Answer:

the correct answer is 65 degrees

Step-by-step explanation:

The angle is 65 degrees

Answer:

it is 75°

Step-by-step explanation:

so do you see the red line? it is in between 70° and 80° which means it's 75°

Step-by-step explanation:

Since Ca(OH)2 is Basic, we need to find pOH:

pOH = - log [OH-]

pOH = - log(0.0001)

pOH = - ( - 4)

pOH = 4

Since, pH + pOH = 14

Therefore,

pH of 0.0001M sol. of Ca(OH)2 = 10

The difference in the account balances at the end of the loan terms is given as follows:

$1,686.87.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

The parameters for the offer 2 are given as follows:

P = 75000, r = 0.035, n = 12, t = 62/12.

Hence the balance of the offer 2 is given as follows:

B = 75000 x (1 + 0.035/12)^(12 x 62/12)

B = $89,842.51.

The balance of Offer 1 is of $91,529.38, hence the difference in the balances is given as follows:

91529.38 - 89842.51 = $1,686.87.

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The total number of ways to seat the 5 boys and 9 girls with the girls together is 6! × 9! = 326,592 ways.

a. If the two end positions must be boys:

If the two end positions must be boys, then there is only one way to fill those positions since there are only 5 boys in total.

Therefore, there are 5 boys remaining to fill the 11 remaining seats.

The total number of ways to seat the 5 boys and 9 girls is the product of the number of ways to arrange the boys and girls separately.

This is given by:

5! × 9! = 544,320 ways.

b. If the girls are to be together:

If the girls are to be together, then we can treat them as a single unit and arrange the 6 units (5 boys and 1 group of girls) in a row.

There are 6! ways to arrange these units.

Within the group of girls, the 9 girls can be arranged in 9! ways.

Therefore, the total number of ways to seat the 5 boys and 9 girls with the girls together is 6! × 9! = 326,592 ways.

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Answer:

Definitely B 84.5

Just worked it out

Answer:

84.5

Step-by-step explanation:

List the numbers in order. I cross them out smallest then biggest and so on until I get either the one in the middle or the two in the middle. If It's only one in the middle that's your answer. If it's two in the middle find the average. In this case the middle two numbers were 85 and 84. 85+84= 169. 169/2=84.5. Hope this helps :)

Monte carlo simulation gets its name from B. random-number assignment.

When the possibility of random variables exists, a Monte Carlo simulation is used to predict the probability of a variety of outcomes. ·

Random number generation is the process of generating a sequence of numbers or symbols that cannot be reasonably predicted better than by random chance, often using a random number generator.

Monte Carlo simulations get their name from gambling, which is entirely dependent on random outcomes. As a result, the answer will be a random number assignment.

Therefore, based on the information illustrated, the correct option is B.

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Answer:

1.028

mark me brainliest please

The expression that represents the amount of money the friends still need to buy the microphones is 7x² - 7x - 17 (fourth option).

The expression that represents the total cost of the microphones is a quadratic expression. A quadratic expression is an expression that has a single variable and it is raised to the power of 2.

The total amount that has been saved by the friends is : x² + x - 14 + 2x + 6

= x² + 3x - 8

Amount the friends still needs = cost of the microphones - amount already saved

(8x² − 4x + 9) - (x² + 3x - 8)

7x² - 7x - 17

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The value for x is 7π/6 and 11π/6.

sin2xsecx+2cosx=0

(2sinxcosx)(1/cosx)+2cosx=0

sinxcosx/cosx+2cosx=0

So,

2sinx+2cosx=0

2(sinx+cosx)=0

(2(sinx+cosx))²=0

4(sin²x+cos²x+2sinxcosx)=0

hence,

(sin²x+cos²x+2sinxcosx)/4=0/4

sin2x+cos2x+2sinxcosx=0

1+sin2x=0

sinx=−1/2

=7π/6 and 11π/6

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Answer:

The answer is

b≤14

So you make a filled in circle at 14, make the point for left from there.

The combination expression that demonstrates how the 20 is calculated using the combination pattern​ is 6C3

While combination has to do with selection, permutation has to do with arrangement.

According to the combination rule

nCr = n!/(n-r)!r!

The expression that gives the result of 20 is expressed below;

6C3 = 6!/(6-3)!3!

6C3 = 6!/3!3!

6C3 = 6!/6*6
6C3 = 720/36
6C3 =20

Hence the combination expression that demonstrates how the 20 is calculated using the combination pattern​ is 6C3

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The rate of change for Neil's business is:

The initial value of Neil's business is:

We can come to this conclusion because:

With this in mind, we can perform the calculations by incrementing the value of the business by $50 every year, until 2008, from 2005.

The equation in slope-intercept form that represent the fees that Neil charges each year is:

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Step-by-step explanation:

A=a+b/2

2×A=a+b

2A=a+b

2a-a=b

a=b

hope it helps

Answer:

A=2

and B=2

Step-by-step explanation:

If you add two plus two you get four, and divided by two you get 2.