Using the graph attached below, what are the common difference, the general term equation, and the 12th term of the arithmetic sequence?

Hint: asubn = asub1 + d(n − 1), where asub1 is the first term and d is the common difference.

OPTIONS:
A) d = −3, asubn = 3 − 4n, asub12 = −45
B) d = 4, asubn = 5n − 4, asub12 = 56
C) d = −5, asubn = 4 − 5n, asub12 = −56
D) d = −4, asubn = 5 − 4n, asub12 = −43

Answer:

Levi Strauss!

Step-by-step explanation:

By the 1860s, Levi Strauss's blue pants were daily wear for miners and farmers and cattlemen throughout the West. In 1873 he bought, for $69—the price of the patent application — an idea from a Russian immigrant tailor in Reno for making miner's pants stronger by riveting the critical seams.

Hope this helped!

For an hour of assistance if a student charged $10.25 than total number hours a student need to work to earn $8,425 is 821.95 hours and this can be determine by the help of unitary method.

Given :

Charge for 1 hour assistance = $10.25

Total earning through assistance = $8425

In this problem unitary method can be use to determine the total number of hours need to work to earn $8425. In unitary method, single unit value is determine first to evaluate the necessary value by multiplying the single unit value.

For an hour of assistance if a student charged $10.25 than total number hours a student need to work to earn $8,425 can be:

[tex]= \dfrac{8425}{10.25} \times 1[/tex]

= 821.95 hours

So a student need to work a total of 821.95 hours to earn $8425.

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Final answer:

The actual length of the organism is 0.32 millimeters, which is obtained by dividing the photograph length (32 mm) by the magnification factor (100).

Explanation:

To determine the actual length of the one-celled organism when the photograph has been enlarged by a factor of 100, we use the formula:

Actual length = Photograph length ÷ Magnification factor

Substituting the given values:

Actual length = 32 mm ÷ 100

Actual length = 0.32 mm

This calculation shows that the actual length of the organism is 0.32 millimeters, which is equivalent to 320 micrometers (320 µm). It's interesting to note that this is well within the size range for many microorganisms, which may require magnification to be seen clearly, such as with a microscope.

Answer:

V=πr2h=π·6.8^2·15≈2179.00866

2179 cm^3  

Step-by-step explanation:

Jared and Nicole both have found the correct value and will get the same solution to the system of equations.

Given information:

Jared found that [tex]y = \dfrac{x} {10}[/tex] for one equation and substituted [tex]\dfrac{x}{10}[/tex] for y in the other equation.

Nicole found [tex]x = y -10[/tex] for the one equation and substituted [tex]y -10[/tex] for x in the other equation.

So, there are two equations. Based on the question, the equation should be,

[tex]x=10y[/tex] and [tex]y-x=10[/tex].

Now, Jared and Nicole have found the value of one variable from one equation and have put it in the other equation.

This method is the substitution method which is used to find the solution of the system of equations.

Therefore, Jared and Nicole both have found the correct value and will get the same solution to the system of equations.

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The length of the apothem of a regular polygon that has a radius of 10 inches would be 9 inches .

The apothem of a regular polygon is defined as a line segment from the center to the midpoint of one of its sides.

It is Given that the hexagon has a radius of 10 inches and the length of the radius is equal to the length of each side of the hexagon.

The apothem AB divides the side of the hexagon into two equal parts of 5 Inches.

Using Pythagoras Theorem

[tex]10^2 = 5^2 + AB^2\\AB^2 = 10^2 -5^2\\AB^2 = 100 - 25\\AB^2 = 75\\AB = \sqrt{75}[/tex]

AB = 8.66

So, rounded up, we get the apothem closest to D that is 9 in.

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The inequality describes the solution to 5(3 - x) < -2x + 6 will be x > 3. The correct option is B.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The given expression 5(3 - x) < -2x + 6 will be solved as below:-

5(3 - x) < -2x + 6

15 - 5x < -2x + 6

-5x + 2x < -15 + 6

-3x < -9

x > 3

Therefore, the inequality describes the solution to 5(3 - x) < -2x + 6 will be x > 3. The correct option is B.

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Answer:

13(s+12) is your answer

Step-by-step explanation:

The side length of the resulting octagon is 2√2.

A stop sign is a regular octagon formed by cutting triangles off the corners of a square. To find the side length of the resulting octagon, we can use the Pythagorean theorem. Since the square has sides of length √2, its diagonal can be found by multiplying its side length by √2. This gives us a diagonal length of 2√2. The diagonal of each triangle cut off the corners of the square will be the side length of the resulting octagon. So, the side length of the octagon is 2√2.

Answer with explanation:

→Two lines in three dimensional plane are said to be Skew if they are neither parallel nor Intersecting.

→Skew lines can be drawn in three dimensional plane only.

→Drawn two skew lines in a Plane , and then drawn another line in a plane and found that , they are skew.

⇒Yes, it is possible to draw three lines in two planes such that all three lines are skew.

Skew lines are non-coplanar lines that are not parallel, and they do not intersect.

The question does not state the type of plane. So, I will answer this question in 2 ways.

(a) 2D plane

Lines in 2D planes can only be drawn in a flat direction.

This means that, when three lines are drawn in the two planes, one of the following would happen.

See attachment for illustration

So, 3 lines in a 2D plane cannot be skewed lines

(b) 3D plane

Lines in 3D planes can only be drawn in several directions.

The above statement imply that:

Several lines can be drawn where none of the lines would be parallel and none of the lines would intersect.

This means that, when three lines are drawn in the two planes, one of the following would happen.

The third highlight means that:

It is possible to have skew lines in a 3D plane

Read more about skewed lines at:

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