12,400 × [] = 124

What number should go in the box to make the equation true?

Answer:

B. 20x + 4

Step-by-step explanation:

Perimeter of a rectangle = 2 × (Length + Width)

                                         = 2 × [(4x + 2) + 6x]

Expand the brackets and bring like terms together:
                                         = 2 × [4x + 2 + 6x]

                                         = 2 × [4x + 6x + 2]
                                         = 2 × [10x + 2]

Expand the brackets by applying the Distributive Law:

                                        = 20x + 4

                                        Option B.

The standard deviation for an investment in stock 1 is approximately 5%.

The standard deviation measures the dispersion or volatility of returns. To calculate the standard deviation, we need to take the square root of the variance. Given that the variance of stock 1 is 25, the standard deviation for stock 1 is √25 = 5%. Similarly, the standard deviation for stock 2 is √1 = 1%. The standard deviation provides a measure of the risk associated with each stock. A higher standard deviation indicates higher volatility and greater potential for fluctuations in returns.

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Answer:

c

Step-by-step explanation:

got it right

The formula can be rearranged as x=(y - y1)/m + x1. Therefore, option C is the correct answer.

The given formula is (y - y1) = m(x - x1).

We need to solve the given formula for x.

Solve for x is all related to finding the value of x in an equation of one variable that is x or with different variables like finding x in terms of y. When we find the value of x and substitute it in the equation, we should get L.H.S = R.H.S.

Now, we can solve the given formula as follows:

(x - x1)= (y - y1)/m

⇒x=(y - y1)/m + x1

Therefore, option C is the correct answer.

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Answer:

1st. 1/4

2nd. Not proportional

Step-by-step explanation:

Answer:

both are not proportional

Step-by-step explanation:

16 : 4 = 16/4 = 4

20 : 5 = 20/5 = 4

9 : 36 = 9/36 = 1/4

not the same so NOT proportional

4 : 12 = 4/12 = 1/3

5 : 20 = 5/20 = 1/4

9 : 45 = 9/45 = 1/5

not the same so NOT proportional

same as before, we look at the denominators, hmmm do a quick prime factoring.

3 = 3 * 1

9 = 3 * 3 * 1

since 9 already contains 3 and 1, we can us that

\(\cfrac{\underline{2}}{3}~~ - ~~\cfrac{1}{9}\implies \cfrac{(2)\underline{2}~~ - ~~(1)1}{\underset{\textit{using this LCD}}{9}}\implies \cfrac{4-1}{9}\implies \cfrac{\stackrel{1}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{3}{~~\begin{matrix} 9 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{1}{3}\)

Answer:

3/7

Step-by-step explanation:

3/7 is 6/14 simplified

Answer:

y>0,        -3>x> -1

y<0,        -3<x<-1

y = 0,       x = -3 and x = -1

Step-by-step explanation:

Answer:

Agree with the other answer but for RSM users, if y>0, type in: x>-1, x<-3 or the server won’t accept your answer.

Have a good day!

The relation R=((1,2), (2, 1), (3,0), (0,-1), (2,2)) fails to be a function for the real number 2 because it violates the property that each input in the domain must have a unique corresponding output in the range.

A relation is considered a function if every input in the domain is associated with a unique output in the range. In the given relation R, we have the pair (2,1) and (2,2), where the input 2 is associated with two different outputs, namely 1 and 2. This violates the definition of a function, as an input cannot have more than one corresponding output.

To illustrate this, let's consider the mapping of the input 2. According to the relation R, the input 2 is associated with the outputs 1 and 2. In a function, each input should have only one output. However, in this case, we have two different outputs for the same input, which makes R fail to be a function.

Therefore, by choosing the real number 2 as the input, we can see that the relation R=((1,2), (2, 1), (3,0), (0,-1), (2,2)) fails to be a function.

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The amount required to endow the scholarship would still be approximately $71,428.57.

To calculate the amount needed to endow a scholarship that pays $5,000 per year forever, starting one year from now, we can use the concept of perpetuity and the formula for present value. The amount required to endow the scholarship can be calculated as follows:

Amount needed = Annual payment / Discount rate

Using the given values, the amount needed to endow the scholarship is:

Amount needed = $5,000 / 0.07 = $71,428.57

Therefore, you would need to donate approximately $71,428.57 to endow the scholarship.

If the scholarship makes the first award to a student 10 years from today, the calculation would be different. In this case, we need to account for the time value of money and discount the future payments to their present value. We can use the formula for the present value of an annuity to calculate the amount needed to endow the scholarship:

Present value = Annual payment / (Discount rate - Growth rate)

Assuming there is no growth rate mentioned, we can use the same discount rate of 7% for simplicity. The amount needed to endow the scholarship, in this case, would be:

Present value = $5,000 / (0.07 - 0) = $71,428.57

Even though the first award is made 10 years from today, the present value remains the same. This is because the discount rate is equal to the growth rate (0% in this case). Therefore, the amount required to endow the scholarship would still be approximately $71,428.57.

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Answer:

x=30

y=52

verticle angles: AOC and DOB

Step-by-step explanation:

Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

The equation d=65t models the distance, d, that Malcolm's family travels after t hours. Malcolm's family travels 65 miles per hour faster than Theo's family.

The equation d=65t models the distance, d, that Malcolm's family travels after t hours. To calculate how much faster Malcolm's family travels than Theo's family, we must first know the speed of Theo's family. Let's say Theo's family travels at 25 miles per hour. To calculate the difference in speed between the two families, we must subtract 25 mph from 65 mph. The difference is then 40 mph, meaning Malcolm's family travels 40 mph faster than Theo's family.

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188 cm2 of cardboard is required to create the rectangular box. The phrase "area of cardboard" refers to the volume of cardboard used to construct a rectangular box.

Calculating the total surface area of the box, which is equal to the sum of the areas of all six sides, is necessary to determine the amount of cardboard required to create a rectangular box. The formula for a rectangular box's surface area is:

2lw + 2lh + 2wh = Surface Area

where the box's length, breadth, and height are indicated by l, w, and h, respectively.

When we enter the values from the issue, we obtain:

Surface Area is equal to 2 (12 x 2) + 2 (12 x 5) + 2. (2 x 5)

Area of Surface = 48 + 120 + 20

Area of Surface = 188 cm2

Hence, 188 cm2 area of cardboard is required to create the rectangular box.

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Answer:

Tr2

Step-by-step explanation:

pie * radius * radius

Answer:

Step-by-step explanation:

The circumference of a circle is given to be 2πr, and its radius to be r.

Answer:

A Subtract 6 from 27 then divide by 3

Step-by-step explanation:

3B + 6 = 27

3B = 21

B = 7

so you subtract 6 from 27, then divide by 3

The solution to the given system of equations by graphing is approximately (x, y) = (-1, 1).

To solve the system of equations by graphing, we need to plot the lines represented by each equation on a coordinate plane and determine their point of intersection, which represents the solution.

1. Start with the first equation: -2x + 2y = 2.

  Rearrange it to solve for y: 2y = 2x + 2 => y = x + 1.

  This equation is in slope-intercept form (y = mx + b), where the slope (m) is 1, and the y-intercept (b) is 1.

2. Plot the first equation on the coordinate plane:

  Start by plotting the y-intercept at (0, 1), and then use the slope to find another point.

  Since the slope is 1 (meaning the line rises by 1 unit for every 1 unit it moves to the right), from the y-intercept, move one unit to the right and one unit up to reach the point (1, 2).

  Connect the two points to draw a straight line.

3. Move on to the second equation: -3x + 6y = 5.

  Rearrange it to solve for y: 6y = 3x + 5 => y = (1/2)x + 5/6.

  Again, this equation is in slope-intercept form, with a slope of 1/2 and a y-intercept of 5/6.

4. Plot the second equation on the same coordinate plane:

  Start by plotting the y-intercept at (0, 5/6), and then use the slope to find another point.

  Since the slope is 1/2 (the line rises by 1 unit for every 2 units it moves to the right), move two units to the right and one unit up from the y-intercept to reach the point (2, 7/6).

  Connect the two points to draw a straight line.

5. Analyze the graph:

  The lines representing the two equations intersect at a single point, which is the solution to the system. By observing the graph, the point of intersection appears to be approximately (-1, 1).

6. Verify the solution:

  To confirm the solution, substitute the x and y values into both equations.

  For (-1, 1), let's check the first equation: -2(-1) + 2(1) = 2 + 2 = 4.

  Similarly, for the second equation: -3(-1) + 6(1) = 3 + 6 = 9.

  Since these values do not satisfy either equation, it seems there was an error in the approximation made based on the graph.

Therefore, the solution to the given system of equations by graphing is approximately (x, y) = (-1, 1). However, it's important to note that this solution may not be completely accurate, and it is advisable to use other methods, such as substitution or elimination, for more precise results.

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Answer:

1.5 cm

Step-by-step explanation:

Triangles WTY and UTV are similar. Segment WT corresponds to UT and segment YT corresponds to VT. Thus we can create an equation knowing that the ratio of WT to UT must equal to the ratio of YT to VT.

WT = 7.5 cm

UT = ?

YT = 15 cm

VT = 12 cm

WT / UT = YT / VT

7.5 / UT = 15 / 12

UT = 6

WT = WU + UT

7.5 = WU + 6

WU = 1.5

Therefore, the component form of vector v is (7.7551, 2.0664) (rounded to four decimals).

To find the component form of a vector v given its magnitude and the angle it makes with the positive x-axis, we can use trigonometric functions to determine the x-component (v_x) and y-component (v_y) of the vector. In this case, we are given the magnitude of the vector ‖v‖ = 8 and the angle θ = 15°. The formulas for finding the components are:

v_x = ‖v‖ * cos(θ)

v_y = ‖v‖ * sin(θ)

Plugging in the given values, we have:

v_x = 8 * cos(15°)

v_y = 8 * sin(15°)

By evaluating these trigonometric functions, we can calculate the values:

v_x ≈ 8 * cos(15°) ≈ 7.7551

v_y ≈ 8 * sin(15°) ≈ 2.0664

These values represent the x-component and y-component of the vector v, respectively. So, the component form of vector v is approximately (7.7551, 2.0664) (rounded to four decimals).

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The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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Recall that to determine if a table represents a probability distribution, the sum of the probabilities must add up to 1, and all the probabilities have to be positive numbers less or equal to 1.

Now, notice that:

From the table, we notice that all the given probabilities are positive numbers between 0 and 1. Therefore, we can conclude that the given table represents a probability distribution.

Yes, it is a probability distribution.

Answer:

$687.5

Step-by-step explanation:

Cost of the rug per square foot = $22

Length of the rug = 31.25 feet

Total amount Mrs brown will pay = Cost of the rug per square foot × Length of the rug

= 31.25 × 22

= $687.5

Total amount Mrs brown will pay = $687.5

Answer:

Eminem.

Rakim.

Nas.

Andre 3000.

Lauryn Hill.

Ghostface Killah.

Kendrick Lamar.

Lil Wayne

Step-by-step explanation:

Answer:

Logic

Step-by-step explanation:

Answer:

12 + Y = 20 _ _  12+8=20

Step-by-step explanation:

Y represents a number

Y= 8

The rate at which the radius of the sphere is changing when the radius is 2 cm is -3.35 cm/min.

We can start by using the formula for the volume of a sphere:

V = (4/3)πr³

Differentiating both sides with respect to time t, we get:

dV/dt = 4πr² (dr/dt)

We know that dV/dt = -534 cm³/min (since the volume is decreasing) and r = 8 cm (the initial radius). We need to find dr/dt when r = 2 cm.

Substituting these values, we get:

-534 = 4π(8)² (dr/dt)

Solving for dr/dt, we get:

dr/dt = -534 / (4π(8)²)

dr/dt = -3.35 cm/min (rounded to two decimal places)

Therefore, the rate at which the radius of the sphere is changing when the radius is 2 cm is -3.35 cm/min.

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Answer:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Possible outcomes:

Black - Black

Black - Blue

Blue - Black

Blue - Blue

Probability of each outcome:

Black-Black:

14 out of 20, and then 9 out of 12. So

\(P_{BkBk} = \frac{14}{20} \times {9}{12} = \frac{14*9}{20*12} = \frac{126}{240}\)

Black-Blue:

14 out of 20, then 3 out of 12. So

\(P_{BkBl} = \frac{14}{20} \times {3}{12} = \frac{14*3}{20*12} = \frac{42}{240}\)

Less likely than black-black.

Blue - Black:

6 out of 20, then 9 out of 12. SO

\(P_{BlBk} = \frac{6}{20} \times {9}{12} = \frac{6*9}{20*12} = \frac{54}{240}\)

More likely than black-blue, less likely than black-black.

Blue - Blue

6 out of 20, then 3 out of 12

\(P_{BlBl} = \frac{6}{20} \times {3}{12} = \frac{6*3}{20*12} = \frac{18}{240}\)

Least likely of the outcomes.

List these events from least likely to most likely:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

The value of x on solving the inequality 3/5x + 1/3 < 4/5x - 1/3 is x > 10 / 3.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. It is most frequently used to compare the sizes of two numbers on the number line.

Given:

3/5x + 1/3 < 4/5x - 1/3

Solve the above inequality as shown below,

Take the variable on the left side and the constant on the right side,

3 / 5x  - 4 / 5x <  - 1/3 -1/3

-1 / 5x < -2 / 3

Multiply both sides by -1,

-1 × -1 / 5 x < -2 / 3 × (-1)

1 / 5 x > 2 / 3  (Inequality sign changes as multiplied by negative terms)

x > 2 / 3 × 5

x > 10 / 3

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Answer:

11

Step-by-step explanation:

ML+LN=MN solve for x

(47)+(9x-39)=(3x+10) = 1/3

x = 1/3

plug into MN

3(1/3)+10=11