What is the value of x in the equation
8 +4 = 2(X-10?
05
12 2
13
ㅇ 조
7

Answer:

A-3/4=1/8 is the equation, if you expand 3/4 it is 6/8, in order to get 1/8 you need to subtract 6/8 from 7/8

7/8-6/8=1/8 therefor A=7/8

The order in which the robot makes the turns does not matter for knowing the direction it is finally facing. The number of left turns and right turns determines the net effect on the direction, regardless of their order. Therefore, the final expression for the direction the robot is going after 21 left turns and 22 right turns is: \(d^(^2^1^+^2^2^) = d^4^3.\)

To determine the direction the robot is going after 21 left turns and 22 right turns, we can evaluate the expression:

Expression: \((d * -i)^2^1 * (d * i)^2^2\)

Simplifying this expression, we get:

Expression: \(d^2^1 * (-i)^2^1 * d^2^2 * (i)^2^2\)

Since \((-i)^2^1\) and \((i)^2^2\) are equal to 1, the expression simplifies further:

Expression: \(d^2^1 * d^2^2= d^4^3\)

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Answer:

Step-by-step explanation:

Let's find the equation in the form of y=mx+b that fits the data.  m is the slope and b is the y-intercept (the value of y when x=0).  Slope, m, the the Rise/Run of the line.  It can be found by taking any two points from the table.  Let's choose (0,15) and (2,35), although any two will work.

x    y

0   15

1    25

2   35

3   45

4   55

(0,15)   (2,35)

The Rise is the change in y:  (35 - 15) = 20.

The Run is the change in x for the same points:  (2 - 0) = 2

The slope is the Rise/Run = (20/2) or 10.

The equation has the form y = 10x + b.

Let's find b.  Just enter any of the points in the above equation and solve for b.  I'll choose (3,45).

  y = 10x + b

  45 = 10*(3) + b

b = 45 - 30

b = 15

[Note:  since b is the value of y when x equals zero, we really didn't need to calculate b as we just did.  There is a data point already that tells us the value of y when x = 0:  (0,15)]

Answer:

A integer is any number that is not either a decimal or a fraction (however, both 2.000 and 2/2 are integers because they can be simplified into non-decimal and non-fractional numbers), this includes negative numbers. A whole number is any positive number(0 through infinity) (including non-integers)

Step-by-step explanation:

it's basically a just any number but can't be a decimal or fraction

Answer:

A set of whole numbers and their opposites.

Step-by-step explanation:

...... -4 -3 -2 - 1 0 1 2 3 4......

Answer:

a. in 2 hours, the temperature will be -6 C

b. in 5 hours, the temperature will be -15 C

c. in half an hour, the temperature will be -1.5 C

Step-by-step explanation:

The length of the minute hand is stated as r=6 inches. We are aware that the minute hand will create a 90° angle in 15 minutes. The measurement is 9.4248 inches as a result.

What is an angle?

An angle is a shape made up of two rays that share an endpoint and is known as the vertex of the angle. These rays are known as the sides of the angle. The plane that contains the rays contains the angles created by two rays. The meeting of two planes can also result in an angle. They are referred to as dihedral angles.

The orientation of a line with another line or plane is represented by its angular position. How far the body has been rotated from the reference position is used to measure angular position.

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Answer: y=−x−5

Step-by-step explanation: -4+-4

Answer:

A

Step-by-step explanation:

The rhombus cuts the shorter side of the rectangle in half so it's equal to 5

we use pythagoras

\(13^{2} = 5^2+x^2\\x^2= 169-25\\x^2= 144\\x=12\)

so the larger side is 2x=24

so the area is 24*10=140cm^2

Answer:

The Correct answer would be option D, $16,000.

Step-by-step explanation:

Look at the bottom section of the graph, that is labled

"Age (in years)" at the number 4 line (representing the 4 year old car), and find the nearest dot on that line of the graph, it goes directly to 16,000.

Answer:

\( \frac{9}{2} \)

Step-by-step explanation:

\( \frac{15}{2} \div \frac{5}{3} = \frac{15}{2} \times \frac{3}{5} = \frac{3}{2} \times \frac{3}{1} = \frac{9}{2} \)

The ways the graph could be improved include

In statistics, graphs are used to represent data sets in a visual way.

Some features of a good graph include

From the given graph (see attachment), we have the following highlights:

The graph can be improved by labelling the axes and starting the entries on y-axis from the origin (i.e. from 0

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Applying the physics of motion, the time now, when they are 111 miles apart, is 4:10 p.m.

Let the time taken for the trains to be 111 miles apart be T.

Then at that time, T, the faster train, which is 82 mph, should have traveled a distance of 82T miles.

D1 = 82T

At the same time, T, the slower train, which is 66 mph, should have traveled a distance of 66T miles.

D1 = 66T

The total distance traveled by both the trains is D1 + D2 = D = 82T + 66T.

D = 148T

From the data provided in the question, D = 111

Hence, 148T = 111

Solving the equation, the time T becomes

T = 111÷148

T = three and four hours

converting it into minutes,

T = 45 mins.

The current time = the time at which both the trains left + 45 mins.

The current time is 3:25 p.m. + 45 minutes.

The current time is 4:10 p.m.

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The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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The gravitational potential energy of the vacationers will decrease as they approach the end of the pier.

As the vacationers approach the end of the pier, their gravitational potential energy will decrease.

Gravitational potential energy is the energy an object possesses due to its position in a gravitational field. It depends on the height of the object and the acceleration due to gravity.

In this scenario, as the vacationers walk out on the horizontal pier, their height above the ground remains constant. Since the height does not change, the gravitational potential energy also remains constant.

However, as they approach the end of the pier, their distance from the center of the Earth decreases. As a result, the gravitational potential energy decreases because it is directly proportional to the distance from the center of the Earth.

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Step-by-step explanation:

NO and PQ are congruent segments (have the same length), and both have the same midpoint M.

NO ≅ PQ, given.

NM ≅ ½ NO, definition of midpoint.

PM ≅ ½ PQ, definition of midpoint.

PM ≅ ½ NO, substitution.

PM ≅ NM, substitution.

Answer:

1a) opens down

b) don't know because equation has two equal signs

c) don't know because equation has two equal signs

2a) opens up

b) (-4, -13)

c) x = -4

3a) opens down

b) (14, 17)

c) x = 14

Step-by-step explanation:

Answer:

LG=LE=LF since it is the centroid. So I think it would also be 9.

Strange Times Inc. would recognize interest revenue of approximately $1,800 for Year 1.

To determine the interest revenue recognized for Year 1, we need to calculate the implied interest on the zero-interest bearing note. The implied interest rate is given as 6%.

The formula to calculate interest revenue is:

Interest Revenue = Principal Amount × Interest Rate.

In this case, the principal amount is $60,000. Multiplying it by the interest rate of 6% gives us $3,600, which represents the total interest for the two-year period. Since we are interested in the interest revenue for Year 1, we need to apportion this total amount accordingly.

To determine the interest revenue for Year 1, we divide the total interest by the number of years, which is 2, and round the result to the nearest dollar. So, $3,600 divided by 2 is $1,800. Therefore, Strange Times Inc. would recognize approximately $1,800 as interest revenue for Year 1.

It's important to note that the interest revenue recognized represents the amount of revenue related to the time period of Year 1 only. As the note is zero-interest bearing, the entire interest revenue is recognized upfront based on the implied interest rate.

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welp i cant help but i can sing ;-;

Step-by-step explanation:

We can find the volume of the rectangular prisms by using the formula:V= lwh where l, w, and h are the length, width, and height of the prism respectively.For the given surface area, we know that:\(2lw + 2wh + 2lh = 520.\)

We can simplify this expression to:\(lw + wh + lh = 260.lw = 260 - wh - lh\)

In this expression, we can replace lw in the volume formula and get:\(V = (260 - wh - lh)h\)

Substituting the given dimensions of the prisms into the formula and evaluating their volumes:\(10 cm by 10 cm by 8 cm:V = (260 - 100 - 80) × 8V = 1280 cm³20 cm by 5 cm by 6.4 cm:V = (260 - 100 - 64) × 5V = 480 cm³14 cm by 10 cm by 5 cm:V = (260 - 140 - 50) × 10V = 700 cm³15 cm by 5 cm by 9.25 cm:V = (260 - 75 - 138.75) × 5V = 487.5 cm³\)

Therefore, the rectangular prism with the greatest volume is the one with dimensions of \(14 cm by 10 cm by 5 cm, which has a volume of 700 cm³.\)

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Answer:

-8x^2+2x+5

Step-by-step explanation:

Distributive Property

First, we determine the speed of the ferry by dividing the distance by the time it took to cover that certain distance.

speed = (1/6) / (3/7)

speed = 7/18

Then, the distance it will travel for an hour is calculated through the procedure below.

distance = (7/18hour) x (1 hour)

distance = 7/18

Therefore, after an hour, the ferry will be able to travel 7/18 of the distance between two ports.

Answer:

I don't get what they mean by "relate P to N" but if he sells 27 copies he'll get a total of 1890

Step-by-step explanation:

27 x 70 = 1890

The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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Use at least 3 decimals in your calculations in this question. A group of economists would like to study the gender wage gap, In a random sample of 350 male workers, the mean hourhy wage was 14.2, and the standard deviation was 2.2. In an independent random sample of 250 female workers, the mean hocirly wage was 13.3, and the standard devlation Was 1.4. 1. The cconomists would like to test the null hypothesis that the mean hourly wage of male and female workers are the same, against the aiternative hypothesis that the mean wages are different. Use the reiection region approach to conduct the hypothesis test, at the 5% significance level. Be sure to include the sample statistic; its sampling distribution; and the reason why the sampling distritution is valid as part of your answer. 2. Calculate the 95% confidence interval for the difference between the popiation means that can be used to test the researchers nuill hypothesis (stated above) 3. Calculate the p-value. If the significance level had been 1% (instead of 58 ). What would the conclusion of the fipothesis test have bect?

The selection sequence for the facility departments is I, O, B, C, A, D, E, F, T.

The relationship chart for the facility departments is given below: A|BEIOTB|CEFOC|DOD|ETOE|FTE|ITX

From the relationship chart, the following TCR values can be calculated as follows:

T(A, B) = 2T(B, C) = 1T(C, D) = -1T(D, E) = -1T(E, F) = -1T(I, O) = 0T(O, T) = -4T(E, T) = -3

And the selection sequence can be found as follows:

Step 1: Select I and O. As T(I, O) = 0, there is no conflict between these departments.

Step 2: Select B and C. As T(B, C) = 1 and T(I, O) = 0, the TCR for B and C is 1.

Step 3: Select A and D. As T(A, B) = 2 and T(B, C) = 1, the TCR for A and D is 3.

Step 4: Select E and F. As T(D, E) = -1 and T(E, F) = -1, the TCR for E and F is -2.

Step 5: Select T. As T(E, T) = -3 and T(O, T) = -4, the TCR for T is -7.

The selection sequence for the facility departments is I, O, B, C, A, D, E, F, T.

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Answer:

£100.32

Step-by-step explanation:

→ In order to work out the multiplier from a increase, you have to add 100 to the percentage and then divide by 100 so,

14 + 100 = 114

114 ÷ 100 = 1.14

→ This means the decimal multiplier is 1.14, now all we do is multiply the multiplier by the cost

£88 × 1.14 = £100.32

To be certain to get one sock of each color, we need to pull at least the maximum number of socks of any single color.

In this case, there are 10 black socks, so we need to pull at least 10 socks to be certain to get one of each color.

Therefore, the minimum number of socks that must be pulled at random to be certain to get one of each color is 10.

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19 socks must be pulled at random to guarantee obtaining one sock of each color. To be certain to get one of each color, we need to consider the worst-case scenario. Let's assume we first pull out all the red socks. In this case, we would still need to pull out the remaining blue and black socks.

Since there are 8 blue socks and 10 black socks, the maximum number of socks we would need to pull out to guarantee having one of each color is 8 + 10 + 1 = 19.

To understand why we add 1 at the end, let's break it down:
- We pull out 8 blue socks, and at this point, we have 6 red and 2 black socks left.
- Next, we pull out the remaining 6 red socks, and we have 2 black socks remaining.
- Finally, we pull out the remaining 2 black socks, and now we have one of each color.

Therefore, we can conclude that we need to pull out a total of 19 socks to be certain of getting one sock of each color.

In conclusion, 19 socks must be pulled at random to guarantee obtaining one sock of each color.

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The equation to represent the area of the desk is A=3.5 x 12.  The length of the large office desk is 12.

The area a rectangle occupies on a two-dimensional plane is known as the area of the rectangle. A quadrilateral, a type of two-dimensional shape with four sides and four vertices, is what a rectangle is.

A large office desk is given, with area 42 ft^2. The shape of the desk is rectangle. The area of the rectangle is given by A=l*w.

Given, the area is 42 ft^2.

w=3.5 feet.

A= 42

42=3.5*l

l=42/3.5

l=12 feet.

The length of the rectangular desk is 12 feet. The equation to represent the area of the large office desk is A=12*3.5.

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Answer:

Step-by-step explanation:

a=0.5