You want know if self-checkout is faster than regular checkout. One hundred customers were sent to
one of the checkout options. Describe the following.

Answer

Angle LK = 50°

Explanation

If the required angle LK is said to be x, then, we can easily solve for x, using the relationship between these intercepted arc angles and the ones inside the circle.

62° = ½ (x + 74°)

Multiply both sides by 2

124° = x + 74°

x + 74° = 124°

x = 124° - 74°

x = 50°

Hope this Helps!!!

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Answer:

(11, ∞).

Step-by-step explanation:

3 (x+2)+9<6(x-3)

3x + 6 + 9 < 6x - 18

-3x < -18 - 6 - 9

-3x < -33

x > 11       (Note the inequality flips as we are dividing by a negative value).

Answer:

It's a, b, and e just to clarify with the multiple answers/comments.

Step-by-step explanation:

I just did it on edge

The y-intercept of the line representing Beatrice's monthly music is 20

From the question, we have the following parameters that can be used in our computation:

y = -.95x + 20

To calculate the y-intercept of the line, we set x = 0

So, we have

y = -.95 * 0 + 20

Evaluate

y = 20

Hence, the y-intercept of the line representing Beatrice's monthly music is 20

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Question

What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?

The equation is y = -.95x + 20

Answer:

There is no slope, so we draw a line parallel to the x-axis and the width of the origin is equal to -7

Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.

When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.

Increased employment opportunities result in more individuals having access to income and improved standards of living.

Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.

Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.

Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.

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This causes the volume of the balloon to decrease, leading to an increase in the number of collisions between gas particles and the inside surface of the balloon, and causing the balloon to shrink and shrivel up.

Temperature is a measure of the average kinetic energy of the particles in a substance or system. In other words, it is a measure of how hot or cold something is relative to a standard reference point. The SI unit of temperature is the kelvin (K), but temperature is often measured in degrees Celsius (°C) or Fahrenheit (°F) in everyday life. Temperature plays a crucial role in many natural and man-made processes, and is a key factor in determining the behavior of matter at different states.

Here,

When a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy and slow down. As the temperature drops, the average kinetic energy of the gas particles decreases, causing them to move slower and collide less frequently. This results in a decrease in pressure inside the balloon.

According to the Ideal Gas Law, PV = nRT, where P is the pressure of the gas, V is its volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin. As the pressure inside the balloon decreases, its volume also decreases, since the number of moles of gas and the gas constant remain constant.

Since the balloon is sealed, the gas particles cannot escape, so they continue to collide with each other and the inside surface of the balloon. As the volume of the balloon decreases, the gas particles become more crowded, increasing the number of collisions between them. This leads to a decrease in the distance between the gas particles and the inside surface of the balloon, causing the balloon to shrink and shrivel up.

In summary, when a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy, slow down, and collide less frequently, resulting in a decrease in pressure inside the balloon.

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Answer:

lol in your head , literally

Step-by-step explanation:

After one of your limbs is amputated, you may feel as if the limb is still there. This is called phantom sensation. You may feel: Pain in your limb even though it is physically not there.

Answer:

The nerve in your leg.

Explanation:

It's not your leg that will hurt but the nerve in your leg that'll hurt. So wherever the leg is cut, the nerves must be cut as well, but another thing is when  one of your limbs is amputated, you may feel like the limb is still there. That's called phantom sensation. You might feel pain in your "limb" even though it's not physically there.

Answer:

2. \(\displaystyle 64\:feet\)

1. \(\displaystyle 5\:seconds\)

Step-by-step explanation:

2. Sinse we do not have a y-intercept [C-value in this case], we have to use a part of the quadratic formula to solve for x, and rewrite this equation in Vertex Form, with \(\displaystyle [h, k]\) as the vertex point. Observe:

\(\displaystyle -\frac{b}{2a} = x \\ \\ -\frac{64}{2[-16]} = \frac{-64}{-32} = 2\)

Now, keep in mind that \(\displaystyle -h\) in the vertex formula, \(\displaystyle y = a[x - h]^2 + k,\) gives you the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so in this case, sinse 2 is already positive, you do not need to alter its operation sign. With this being stated, you should already have this:

\(\displaystyle y = -16[x - 2]^2\)

Now, to find k, all you have to do is plug 2 into the TOP equation to get your maximum height:

\(\displaystyle -16[2]^2 + 64[2] = -16[4] + 128 = -64 + 128 = 64 \\ \\ \\ y = -16[x - 2]^2 + 64\)

Therefore, sinse 64 is your k-value, 64 feet is indeed your maximum height.

1. Simply factour the quadratic equation:

\(\displaystyle y = -18x^2 + 90x \\ 0 = -18x[x - 5] \\ \\ 5, 0 = x\)

In this case, from a height of sixty-four feet, it is IMPOSSIBLE for the football to hit the ground in zero seconds, therefore the ball will reach the ground in 5 seconds, which makes alot more sence.

I am joyous to assist you at any time.

** Minimum Height → \(\displaystyle A\)

** Maximum Height → \(\displaystyle -A\)

Answer:

Point A is located at the origin because to origin is (0,0)

Step-by-step explanation:

Answer

A because the origin is at 0,0 and point A is at 0,0

Step-by-step explanation:

A is answer is 0,0.On the flat coordinate plane, there are two axes, the vertical y-axis and the horizontal x-axis. The origin is the point where they intersect.

-Hope this helped

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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C. The depth of the dish is 96 inches.

The symmetry of the parabola indicates that  when the depth is 6 inches, that the edge is 48 inches (half of 96) to the right and left of the axis of symmetry.

This implies that this parabola passes through (48, 6).

To determine how high the focus is above the vertex. The conic form of a parabola with its vertex at the origin is given as;

y = (1/4c)x²

where;

From the equation above, we can substitute the value of our coordinates and solve for c.

6 = (1/4c)(48²)

24c = 2304

c = 2304/24

c = 96 inches

Thus, the depth of the dish is 96 inches.

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The probability that Carmen selects blue floss greater than the probability that orange floss is selected is 14%.

There are a total of 8 + 5 + 7 + 10 + 3 + 6 + 4 + 7 = 50 spools of floss.

The probability of selecting a blue floss is 10/50 = 1/5.

The probability of selecting an orange floss is 3/50.

Therefore, the probability of selecting blue over orange is (1/5 - 3/50) = (10/50 - 3/50) = 7/50.

To express this as a percentage, we can multiply by 100:

7/50 × 100% = 14%.

So the probability of selecting blue floss over orange floss is 14%.

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The rate of change of the average price of the new car is $274.50 per year.

The rate of change of the average price of the new car is a function of the change in average price over the years and the change in the number of years.

Rate of change = change in the average price / change in the number of years

Rate of change = (price in 2002 - price in 1994)  / difference in the number of years

Rate of change = (19,126 - 16,930) / (2002 - 1994)

Rate of change = 2196 / 8

Rate of change = $274.50

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Answer:

10

Step-by-step explanation:

Slope Formula: \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

=\(\frac{-4-6}{-3-(-2)}\)

=\(\frac{-10}{-1}\) = 10

Hope this helps!

The original dimensions of the piece of metal were 15 inches by 20 inches.

To solve this problem, we can use the given information to set up an equation. Let's assume that the width of the rectangular piece of metal is x inches. According to the problem, the length of the piece of metal is 5 inches longer than its width, so the length would be (x+5) inches.

When squares with sides 1 inch long are cut from the four corners, the width and length of the resulting box will be reduced by 2 inches each. Therefore, the width of the box will be (x-2) inches and the length will be ((x+5)-2) inches, which simplifies to (x+3) inches.

The height of the box will be 1 inch since the flaps are folded upward.
Now, let's calculate the volume of the box using the formula Volume = length * width * height.

Substituting the values, we have:

234 = (x+3)(x-2)(1)

Simplifying the equation, we get:

234 = x^2 + x - 6

Rearranging the equation, we have:

x^2 + x - 240 = 0

Now, we can solve this quadratic equation either by factoring or by using the quadratic formula. Let's use factoring to find the values of x.

Factoring the equation, we have:
(x+16)(x-15) = 0
Setting each factor equal to zero, we get:
x+16 = 0 or x-15 = 0
Solving for x, we have:
x = -16 or x = 15
Since the width cannot be negative, we take x = 15 as the valid solution.
Therefore, the original dimensions of the piece of metal were 15 inches in width and (15+5) = 20 inches in length.

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Answer:

37.5% less than B

Step-by-step explanation:

It is given that B is 60% more than A.

Since A is 62.5% of B, it is 37.5% less than B.

Answer:

A. 37.5% less than B

Step-by-step explanation:

We can write an equation to model this:

B being 60% more than A means that:

B=0.6A+1A

B=1.6A

Let's isolate A.

A=B/1.6

Multiply the top and bottom by 10 to get whole numbers

A=10B/16

Simplify

A=5B/8

5/8 = 62.5%

A=0.625B

Therefore, A is 62.5% of B

This means that A is 37.5% less than B.

Answer: - 21/16 = 15/16 (simplified)

= - 1.3125 convert decimal to fraction

= - 13125/10000

= - 21/16 = 15/16  (simplified)

Answer:

y=6x

Step-by-step explanation:

The slope-intercept form is y=mx+b. m in the equation represents the slope, which is 6 and b in the equation represents the y-intercept, 0. Everytime there's an equation with 0 as y-intercept, you don't have to write the equation like this: y=6x+0 but like this is better: y=6x.

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Step-by-step explanation:

Simple, she found the sum of the interior angles not exterior angles.

The exterior angles of any polygon add up to 360 degrees.

What Cindy did was found the total interior angle measure of a hexagon which is 720

The velocity of the rock is the number of feet traveled per second

The velocity of the rock is a linear function of time

From the question, we understand that the velocity increases by 32 feet per second for each second

This means that we have the following rates:

Velocity = 0, 32, 64, 96, 128....

Notice that the difference between adjacent numbers is 32.

This means that the velocity changes at a constant rate or slope

Hence, the velocity of the rock is a linear function

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Ramesh will bear a total medical expense of RM1,760, and the insurance company will cover RM2,900.

1. Ramesh's deductible is RM1,500 per year. This means that he is responsible for paying the first RM1,500 of medical expenses before the insurance coverage kicks in.

2. For the first treatment, the medical cost was RM700. Since this amount is less than the deductible, Ramesh will have to pay the entire RM700 out of pocket.

3. For the second treatment, the medical cost was RM2,000. Since Ramesh has already met his deductible with the first treatment, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the remaining RM500 (RM2,000 - RM1,500), which amounts to RM100. The insurance company will cover the remaining 80% of RM500, which amounts to RM400.

4. For the third treatment, the medical cost was RM1,700. Again, since Ramesh has already met his deductible, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the entire cost, which amounts to RM340 (20% of RM1,700). The insurance company will cover the remaining 80% of RM1,700, which amounts to RM1,360.

5. To calculate the total medical expenses borne by Ramesh, we add up the amounts he is responsible for in each treatment: RM700 + RM100 + RM340 = RM1,140.

6. The total medical expenses covered by the insurance company can be calculated by adding up the amounts they pay in each treatment: RM400 + RM1,360 = RM1,760.

7. Finally, to find the overall amount borne by Ramesh and the insurance company, we sum up the individual expenses: Ramesh's expenses + insurance company's expenses = RM1,140 + RM1,760 = RM2,900.

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Answer:   0

Step-by-step explanation:

When solving you need to use PEMDAS, this tells you the order in which to solve

Parenthesis first

Exponents

Multiplication/Division (whichever comes first working left to right)

Addition/Subtraction (whichever comes first working left to right)

49 - [23 + {27 - (9 of 3 ÷ 27)}]​         start with inner most parentheses first, of means multiply

49 - [23 + {27 - (27 ÷ 27)}]​     still inner most parentheses

49 - [23 + {27 - 1}]​      once you finish a parentheses you can drop it

49 - [23 + 26]​  

49-49

0  

The value of this irrational Expression is 40.77 .

An expression is a mathematical statement consisting of variables , constants and mathematical operators.

The expression given is

7√22 +3√7

√22 = 4.69

√7 = 2.65

32.83 + 7.94

40.77

The value of this irrational Expression is 40.77 .

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Answer:

660 LOL bro and also next time put like multiplied by a fraction of a second to make it harder.

Step-by-step explanation:

110 + 110 = 220

220 x 3 is 660

Answer:

4^2

Step-by-step explanation:

Al cuadrado en ingles significa "to square", asi que basicamente significa multiplica el numbero por si mismo 2 veces (4 x 4 = 16)

Answer:

ehhh 0_0 ahhhhhhhhhhhhh

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Because 63 is a multiple of 7

So.... 63/7

=9

So this shows us 9 is the mean

HOPE IT HELPS YOU!

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