A GRAPH THAT DOES NOT CROSS THE ORIGINS IS
CONSIDERED a what

In scientific notation, we represent the number 978,000 as 9.78 × \(10^5\).

Scientific notation is a way to specific very massive or very small numbers in a compact and standardized format.

It consists of two parts: a coefficient and an exponent of 10.

In the given quantity 978,000, we begin by using transferring the decimal factor to the left till there is solely one non-zero digit to the left of the decimal point.

In this case, we can pass the decimal factor three locations to the left to get 9.78.

Next, we be counted the wide variety of locations we moved the decimal point.

Since we moved it three locations to the left, the exponent of 10 will be 3.

Finally, we categorical the range as the product of the coefficient (9.78) and 10 raised to the strength of the exponent (3):

978,000 = 9.78 × 10^5

In scientific notation, the coefficient is constantly a wide variety between 1 and 10 (excluding 10) to preserve the popular form.

The exponent represents the quantity of locations the decimal factor used to be moved, indicating the scale of the authentic number.

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Answer:

130°

Step-by-step explanation:

1. 59 + 71 (We do this because we want to find out their total to help us find out what the angle next to x is)

2. This should have given you 130°. Then, we will subtract 130 from 180 (180-130) (We do this because angles in a triangle add up to 180, so we want to find out what the single angle is).

3. This should have given you 50°. Since we know that angles on a straight line add up to 180°, we subtract 50 from 180 (180-50), and will eventually end up with 130°, so x=130°.

Let's look at the image and think about it for a second. We are given an exterior angle, and two opposite interior angles.

The sum of all angles in a triangle are equal to 180˚. If we look at angle ∠x , we notice something: it is a supplementary angle! ∠x + its supplementary angle is equivalent to 180. Conveniently enough, this supplementary angle is also an interior angle of the triangle.

You might be thinking, "Okay, so ∠x is a supplementary angle. Cool, so what?" Allow me to explain. Let's represent the unknown interior angle inside the triangle as 'n' (this isn't necessary to solve for x, but I'm just trying to prove how the solution works so you'll understand how to do these)

∠x + ∠n = 180˚ (These angles are supplementary)

∠n + 59˚ + 71˚ = 180˚ (The sum of interior angles of a triangle is 180˚)

If we isolate ∠n in both equations, then:

∠n = 180˚ - ∠x

∠n = 180˚ - 59˚ - 71˚

Since the right sides of both equations are equal, we can turn it into a single equation:

∠n = ∠n

180˚ - ∠x = 180˚ - 59˚ - 71˚

Isolate ∠x:

∠x = 59˚ + 71˚

So, what does this mean? This proof, essentially, establishes the fact that an exterior angle is equivalent to the sum of the two opposite interior angles. As you can see with the proof we made, ∠x is equal to the two opposite angles in the triangle, 59˚ and 71˚.

Now, let's get ourselves a definitive answer:

∠x = (59˚ + 71˚)

∠x = 130˚

If you have any further questions on how I got to the answer, just ask in the comments! Good luck!

- breezyツ

The longest list of numbers that an average person can remember without any repetition is around 7 ± 2, according to Miller's Law.

Miller's Law suggests that the capacity of human short-term memory is limited to around 7 ± 2 items, or "chunks" of information. This means that if the professor reads a list of numbers to you without giving you a chance to repeat them, the longest list you are likely to remember is around 7 ± 2 numbers.

However, this capacity can be increased through the use of various memory strategies such as chunking, which involves grouping pieces of information into meaningful units. Additionally, the ability to remember numbers or any other type of information can vary greatly between individuals depending on factors such as age, cognitive ability, and previous experience with the material.

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Answer:

b) 6

Step-by-step explanation:

Given information,

→ P = (5x + 30)°

→ S = 80°

Forming the equation,

→ P + S = 140°

→ (5x + 30)° + 80° = 140°

Now the value of x will be,

→ (5x + 30)° + 80° = 140°

→ 5x + 110° = 140°

→ 5x = 140° - 110°

→ x = 30°/5

→ [ x = 6° ]

Hence, the value of x is 6.

Answer:

Step-by-step explanation:

\((x_{1} , y_{1}) = (-1,6)\\\\(x_{2},y_{2}) = ( -3, 0)\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\\\=\dfrac{0-6}{-3+1}\\\\\\=\dfrac{-6}{-2}\\\\=3\)

Equation of the line: y= mx +b

y = 3x + b

Substitute ((-1 , 6) in the above equation

6 = 3*(-1) + b

6 = -3+b

6 +3  = b

b = 9

y = 3x + 9

The solution to the problems are given below:

Giving each of the letters numbers based on their numerical position on the English alphabet, we can solve below:

n (14) + e (5) = 14 + 5 = 19

t (20) - j (10) = 20 - 10 = 10

d (4) x e (5) = 4 x 5 = 20

p (16) / b (2) = 16 / 2 = 8

It can be seen that with the letter e for example is the 5th letter of the alphabet and the value is used to compute the addition of the problem.

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We conclude that the measure of that angle is 150 degrees.

Notice that  the measure of angle ∠BFE will be equal to:

∠BFE = ∠BFC + ∠CFD + ∠DFE

Where:

∠CFD = 90°

∠DFE = 30°

And we will have that:

∠AFC = 180° - 90° - 30° = 60°

And we know that BF bisects that angle, then:

∠BFC = 30°

So we conclude that:

∠BFE = ∠BFC + ∠CFD + ∠DFE = 30° + 90° + 30° = 150°

We conclude that the measure of that angle is 150 degrees.

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Answer:

1/ $ 4.08

2/ $675.92

Step-by-step explanation:

Take 68 times 0.06% = $4.08

680 - 4.08= 675.92

Answer:

Step-by-step explanation:

40.80 it told me the answer

Answer:

1 :w =√-3.728 = 0.0 - 1.93078 i

2 :w =√-3.728 = 0.0 + 1.93078 i

3 :w =√21.728 = -4.66132

4:w =√21.728 = 4.66132

Step-by-step explanation:

The conveyor speed for the assembly line is 2.67 meters per minute.

To calculate the conveyor speed for the assembly line, we need to consider the width of each component and the production requirements.

Given:

Width of each component = 0.4m

Production requirement = 3000 units per day

Number of shifts per day = 2

Shift duration = 8 hours

Personal time per shift = 30 minutes

Anticipated performance = 85%

First, let's calculate the effective production time per shift after accounting for personal time:

Shift duration = 8 hours = 8 * 60 minutes = 480 minutes

Personal time per shift = 30 minutes

Effective production time per shift = Shift duration - Personal time per shift

= 480 minutes - 30 minutes

= 450 minutes

Next, we need to determine the cycle time, which is the time required to produce one unit. To find the cycle time, we divide the effective production time per shift by the number of units required per day:

Cycle time = Effective production time per shift / Production requirement per day

= 450 minutes / 3000 units

= 0.15 minutes per unit

Finally, to calculate the conveyor speed, we need to consider the width of each component and the cycle time:

Conveyor speed = Width of each component / Cycle time

= 0.4m / 0.15 minutes per unit

= 2.67 m/minute

Therefore, the conveyor speed for the assembly line is 2.67 meters per minute.

It's important to note that this calculation assumes uniform production throughout the shift and does not account for any additional factors or constraints specific to your production process.

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The area of a circle is 158.3 sq. m.

Consider we need to find the area of the given circle.

The radius of a circle is 7.1 m.

The area of a circle is the place occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the circumference of a circle is called the area of the circle.

The area of the circle is:

\(A = \pi r^{2}\) , where r is the circle's radius.

Putting r = 7.1 , π = 3.14, we get

\(A = 3.14 *(7.1)^{2}\)

A = 158.2874

A ≈ 158.3

So, the area of a circle is 158.3 sq. m.

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8 is the correct answer. By the way, Thank you for the few extra points.. It is very appreciated.

Answer:

The length needed to cut off is 12.55 cm

Step-by-step explanation:

The corrected question is:

you need a piece of paper to measure 64.25 cm. If you tape two together that each measure 38.4 cm, how much do you need to cut off?

Solution:

measurement/length of each paper piece = 38.4 cm

measurement/ length required = 64.25 cm

If length of one paper piece is 38.4 cm then if we tape 2 pieces together then the measurement or length is calculated as:

38.4 + 38.4 = 76.8 cm

So to calculate how much we need to cut off:

length required to cutoff = total length of two pieces - length  required

                                         = 76.8 - 64.25

                                         = 12.55 cm

So the length required to cut off is 12.55 cm

Answer:  The correct answer is x=18 and y=59

Step-by-step explanation:

Opposite angles are congruent:

(6x+13) = (7x-5)

Solve for x:

6x+13−7x=7x−5−7x

−x+13−13=−5−13

−x=−18

x=18

Plug x value in for y:

Y=180-(7x-5)

Y=180-(126-5)

Y=180-121

Y=59

Answer:

450 degrees is the answer

Answer:

y=.5x-2

Step-by-step explanation:

If one line is perpendicular to another that means that their slopes are negative reciprocals

which means that the slope (or m in y=mx+b) is .5

so far we have

y=.5x+b

to solve for b we plug in (8,2)

2=.5(8)+b

2=4+b

-2=b

therefore our equation is

y=.5x-2

Answer:

hope it helps

stay safe healthy and happy.

Answer:

The value of the notebook at the end of 2013 is $980

Step-by-step explanation:

First, find 30% of 2,000. To do so you need to convert 30% into a decimal by dividing it by 100.

30% ⇒ 0.30

Now multiply 0.30 by 2,000 to find 30% of 2,000.

2,000 × 0.30 = 600

Subtract 600 from 2,000 to find the price of the notebook in 2013.

2,000 - 600 = 1,400

Now find 30% of 1,400 using the same process.

1,400 × 0.30 = 420

Subtract 420 from 1,400 to find the price of the notebook in 2014.

1,400 - 420 = 980

Plugging in 5.5 for the March temperature yields April 16th as the estimated bloom date.

An equation is a mathematical statement that two expressions are equal. It is written in the form of an expression, with an equal sign (=) between two expressions that have the same value. Equations are used to solve for unknown values, to determine relationships between different variables, or to describe a mathematical process.

Using the equation that was fit to the data, the date in April when Tess' flowers will bloom if the average temperature in March is 5.5° is April 16th. This is based on the equation: April bloom date = -24.47 + 0.75 (March temperature). Plugging in 5.5 for the March temperature yields April 16th as the estimated bloom date.

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Answer:

1. x = 7

2. x = 5

3. x = 5

4. x = 11

5. x = -1

6. x = -1

Step-by-step explanation:

1. -x-2=-44+5x

-2=-44+6x

42=6x

x=7

2. 4x+2=-12+6x

2=-12+2x

10=2x

x=5

3. 4x+6=-16+6x

6=-16+2x

10=2x

x=5

4. 3x-10=-54+7x

-10=-54+4x

44=4x

x=11

5. -18-6x=6(1+3x)

-18-6x=6+18x

-18=6+24x

-24=24x

x=-1

6. 3x-5=-8(6+5x)

3x-5=-48-40x

-5=-48-43x

43=-43x

x=-1

The solution is: Garret placed the treasure at the right place.

Here, we have,

The Cartesian plane can be used to locate the position of any given point with a coordinate. It consists of two numbered lines perpendicular to each other and intersecting at point zero of the lines.

From the statements given, 5 units from x-axis is not the same as 5 units on x-axis. Also, 3 units from y-axis is not the same as 3 units on y-axis.

So, distance 5 units from x-axis implies that a point 5 units after the x-axis. And also, distance 3 units from y-axis means 3 units after the y-axis.

With these conditions of the coordinate of the treasure, Garrett placed the treasure at the right place.

Hence, The solution is: Garret placed the treasure at the right place.

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complete question:

Garrett and Jeffrey are planning a treasure hunt. They decide to place a treasure at a point that is a

distance of 5 units from the x-axis and 3 units from the y-axis. Jeffrey places a treasure at point J, and

Garrett places one at point G. Who put the treasure in the right place? Explain how you know.

The tank can withstand the pressure of 5 MPa without exceeding the yield stress of the A-36 steel material.

What is Stress?

stress refers to the force applied per unit area on a material. It is a measure of the internal resistance of a material to deformation under external forces. Stress is represented by the symbol σ (sigma) and is calculated as the ratio of the applied force (F) to the cross-sectional area (A) on which the force is acting:

\(\sigma} = F / A\)

Stress is typically expressed in units of pressure, such as pascals (Pa) or megapascals (MPa). It is an important concept in the study of materials and mechanics, as it helps determine how materials respond to external forces and how they deform or break under different conditions. Different types of stress include tensile stress, compressive stress, and shear stress, depending on the nature and direction of the applied force.

To analyze the given information about the gas tank made from A-36 steel, we have the following parameters:

The inner diameter of the tank (D): 1.50 m

The wall thickness of the tank (t): 27 mm

The pressure inside the tank (P): 5 MPa

Yield stress of A-36 steel (σy): 250 MPa

To determine whether the tank can withstand the pressure without exceeding the yield stress of the material, we can calculate the hoop stress using the following formula:

Hoop Stress \((\sigma}h) = (P * D) / (2 * t)\)

Substituting the given values, we have:

\(\sigma}h = (5 MPa * 1.50 m) / (2 * 0.027 m)\)

Now, let's calculate the value of σh:

\(\sigma}h = 277.78 MPa\)

Comparing the calculated hoop stress (σh) with the yield stress of A-36 steel (σy), we can observe that the hoop stress is less than the yield stress. Therefore, the tank can withstand the pressure of 5 MPa without exceeding the yield stress of the A-36 steel material.

It's important to note that this analysis assumes the tank is perfectly cylindrical and the material is homogeneous. Real-world factors such as welding quality, material variations, and other structural considerations should also be taken into account for a comprehensive assessment of the tank's integrity under pressure.

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Consumer surplus $5 as we solve the Q by given data

Consumer surplus is the difference between the consumer's willingness to pay and the price of the commodity.

Consumer surplus in economics, also called social surplus or consumer surplus, is the difference between the price a consumer pays for a commodity and the price the consumer is willing to pay in exchange for giving it up.

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

Consumer Surplus = Willingness to Pay - Price of the Good.

Item Price = $35 - $10 = $25

$30 - $25 = $5

Producer surplus is the difference between the price of a commodity and the lowest price at which a seller is willing to sell it.

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When z = f(x,y), fx(2,4) = 5, fy(2,4) = -6, and the values of x and y are functions of t. Specifically, x = g(t), y = h(t) with g(3) = 2, g'(3) = 2, h(3) = 4, h'(3) = 5,  the value of dz/dt is -20 .

To solve the problem, we can use the chain rule to find dz/dt. Using the given information, we can first find dx/dt and dy/dt by taking the derivatives of x = g(t) and y = h(t) with respect to t. Then, we can use the partial derivatives fx and fy to find dz/dt using the formula dz/dt = fx(x,y) * dx/dt + fy(x,y) * dy/dt. Substituting the given values, we get dz/dt = 5 * 2 + (-6) * 5 = -20.

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Answer:

One angle is 26 degrees and the other is 64 degrees.

Step-by-step explanation:

Complementary angles add up to a total of 90 degrees. Therefore, if one of the two angles is known to be 38 degrees less, then the other angle can be calculated:

90 = (x-38) + (x)

52 = 2x

26 = x

This means that one of the angles is 26 degrees, and the other is 64 degrees.

Answer:

f(x) = -x -1

Step-by-step explanation:

f(x) = mx + b

find 2 points on the line:

A( -1 , 0)

B( 0 , -1)

Put them in the equation and fine m & b:

0=m(-1)+b

-1=m(0)+b

so b= -1

and m= -1

so f(x) = -x-1

Answer:

-x - 1

Step-by-step explanation:

line is passing through (-1, 0) (0, -1)

m = (-1 - 0) / (0 - (-1) )

= -1 / 1

= -1

line equation = y - y1 = m (x - x1)

y - 0 = -1 (x - (-1) )

y = -1 (x + 1)

y = -x - 1

y = f(x)

Answer: 12:2, 18:3, 24:4

Step-by-step explanation: You can multiply 6 by 2, 3, and 4 because the graph has 4 columns. Then multiply the top by 2, 3, and 4,

The least accurate measurement among the options provided is 18050 m.Therefore, among the given options, 18050 m is the least accurate measurement due to its higher number of significant figures.

To determine the least accurate measurement, we need to consider the number of significant figures in each measurement. The measurement with the fewest significant figures indicates lower accuracy.

Among the options given:

a. 208 m has three significant figures.

b. 18050 m has five significant figures.

c. 0.08 m has two significant figures.

d. 0.750 m has three significant figures.

e. 12.0 m has three significant figures.

The measurement with the least accurate value is 18050 m because it has the highest number of significant figures among the options. A higher number of significant figures suggests a greater level of precision and accuracy in the measurement.

Significant figures represent the digits in a number that contribute to its precision. They include all the non-zero digits and any zeros that appear between non-zero digits or after a decimal point. In this case, the measurement 18050 m has five significant figures, indicating a high level of precision and accuracy.

On the other hand, measurements with fewer significant figures imply less precision and accuracy. For example, the measurement 0.08 m has only two significant figures, suggesting less certainty in the measurement compared to 18050 m.

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Answer:

8.95p-3.2q+8.7

Step-by-step explanation:

Answer:

8.95,    3.2,     8.7

Step-by-step explanation:

The probability that the coin is fair given that it lands heads is 0.3571.

Given that a coin is picked from the box and flipped, the probability of the coin being fair is 1/3.

The probability of the coin being biased towards heads and the coin being biased towards tails is 1/3.

Therefore, the probability that the coin is fair and lands heads is (1/3) x 0.5

= 0.1667.

The probability that the coin is biased towards heads and lands heads is (1/3) x 0.8

= 0.2667.

The probability that the coin is biased towards tails and lands heads is (1/3) x 0.1

= 0.0333.

Therefore, the total probability that the coin lands heads is 0.1667 + 0.2667 + 0.0333

= 0.4667.

Using Bayes' Theorem, the probability of the coin being fair given that it lands heads is:

P(fair|heads)

= P(heads|fair) * P(fair) / P(heads)

= 0.5 * 1/3 / 0.4667

= 0.3571.

Thus, the probability that the coin is fair given that it lands heads is 0.3571.

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