Write down the formula for the nth number and calculate the 10th number and the 101th number of the following sequence: 74, 58, 42, ...

Answer:

185

Step-by-step explanation:

Answer:

It entirely depends upon an individual.

It’s a known fact that humans need social interaction. Lack of which can affect their social behaviour and mindset. Whilst most would agree that e-learning is widely preferred by the younger generation, it is undeniably detaching them from social interactions.

When kids or students are engrossed in learning online, they’re missing out on social interactions that can open various doors of the mind, be it creative or observational skills. It’s understood that e-learning allows an individual to study far and beyond the subject and gives them an opportunity to explore multiple fields of their interest, one can’t ignore that it chains them to the system as well.

The deal-breaker in such a situation is an individual. If they demand social interaction, they would keep their digital device aside for once and would get indulge in social interaction. If they’re of another kind, they would prefer spending their days and nights just exploring and reading about new things online.

So, in my opinion, it’s quite subjective to narrow down the overall benefits and drawbacks of e-learning.

I hope I have answered your question.

Answers:

1. A

2.B

3.C

4.C

Step-by-step explanation:

Thats all i could answer for now

hope this helped!

Answer:

x=-38

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x−6)−2(2x+3)=14

(3)(x)+(3)(−6)+(−2)(2x)+(−2)(3)=14(Distribute)

3x+−18+−4x+−6=14

(3x+−4x)+(−18+−6)=14(Combine Like Terms)

−x+−24=14

−x−24=14

Step 2: Add 24 to both sides.

−x−24+24=14+24

−x=38

Step 3: Divide both sides by -1.

−x

−1

=

38

−1

x=−38

Answer:

D. 200-2/3x=2/5

Step-by-step explanation:

You can tell that one side of the equation is going to have only 2/5 because the problem said there was 2/5 of a ton left. You can also figure out that the equation should say 200-2/3x because the problem said that the conveyor belt removes 2/3 of a ton per minute. So, the equation should be...

200-2/3x=2/5, which is D.

Hope this helps c:

Answer: D

Step-by-step explanation:

The 2/3 is the rate and there is 2/5 leftover from the original 200 tons.

Answer:

I think it's the third choice because line segments are congruent and not equal. Line segments also have little lines on top of the letters.

Step-by-step explanation:

======================================================

Explanation:

AB = BC refers to the fact that expressions 2x+7 and 4x-3 are equivalent. They represent numbers when we replace x with some number. So after doing that replacement, we have something in the form number = number.

So this is why choice A is one of the answers.

[tex]\overline{AB} \cong \overline{BC}[/tex] says "segment AB is congruent to segment BC". The horizontal lines over the lettering indicates we have a segment. The equal sign with a squiggle over top is the congruence symbol. In geometry, we say two items are congruent if they are the same. You can think of making a clone of the object and then sliding it over. In this case, we've cloned segment AB to form segment BC.

This is why choice C is the other answer.

--------------

Choices B and D are close, but not quite correct. Choice B is missing the segment markers. Choice D is missing the congruence symbol. Congruence and equality are very similar ideas, so often they get mixed up.

Answer:

97.27 kg

Step-by-step explanation:

1kg = 2.2 lb

214 lb = ?kg

Make it into an equation:

1 kg/ 2.2 lb = ?kg / 214 lb

? = 1kg x 214lb ÷ 2.2 lb

?= 214lb ÷ 2.2 lb

? ≈ 97.27 kg / 214 pounds

Verify :

97.27 x 2.2 ÷ 214 ≈ 0.99 ≈ 1 kg

Answer:

F' would be (2, 2) if F was reflected over the line y=-x

Answer:

ok. its  8/24. but if you got to simplify its 1/3

Step-by-step explanatin

you do 5*4 (the numerator) and 6*4(the denomerator).

this is the lcd(least comon )denominator.

repaet the steps for 2/4 but multiply by 6 on each number

once    

thats

done

its

your

answer

Answer:

5/6 – 2/4

= (10–6)/12

= 4/12

= 1/3

Answer:

B

Step-by-step explanation:

Answer:

t = - 3

Step-by-step explanation:

Assuming you mean solve for t:

[tex]3t-2=-11\\\\3t-2+2=-11+2\\\\3t=-9\\\\\frac{3t=-9}{3}\\\\\boxed{t=-3}[/tex]

Hope this helps.

Answer:

100

Step-by-step explanation:

Just so you know, there is a thing called calculator

You should really get one if you are asking such questions

Or maybe, IDK maybe DON'T BE LAZY AND LEARN TO DO SIMPLE CALCULATIONS

Answer:

-(x-y)

Step-by-step explanation:

-(x-2y) - y

-x+2y -y

-x+y

-(x-y)

Answer:

Hello...

Step-by-step explanation:

A)It is similar but not congruent.

B)segment AB.

C)angle A.

HOPE IT HELPS YOU DEAR.....

The answers to all parts are given below.

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a triangle PQR and line segment AB, which is parallel to QR.

[A] -

ΔPQR is similar to ΔPAB as -

∠P = ∠P (Common)

∠PAB = ∠PQR (Corresponding angles)

∠PBA = ∠PRQ (Corresponding angles)

Using AAA similarity rule, ΔPQR is similar to ΔPAB.

[B] -

Line segment AB corresponds to line segment QR

[C] -

∠A in ΔPAB corresponds to ∠Q.

Therefore, the answers to all parts are given above.

To solve more questions on triangles, visit the link below-

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#SPJ2

Answer:

your mom

Step-by-step explanation:

Answer:

u didnt put questions

Step-by-step explanation:

Answer:

18cm

Step-by-step explanation:

Find the image to the question attached.

From the ruler, we are to find the distance between R and S i.e RS

From the ruler, R is on 8 and S is on 26.

Initial point R = 8

Final point S = 26

Length of RS = Final point S - initial point R

RS = 26 - 8

RS = 18

Hence the length of RS is 18cm

Answer:

22 rides happened in the hour.

Step-by-step explanation:

The way to solve this if by first dividing the 650 by the 30 then since the answer will be 21.6 that is basically like having 21 full rides then having one more ride a little over half full.

Answer:

It's the subtraction property of equality because you have to subtract.

Step-by-step explanation:

Answer:

a = undefined/no real solution

Step-by-step explanation:

Expand

24a - 22 = -4 + 24a

24a - 24a = -4 + 22

0a = 18

a = undefined/no real solution (when something is divided by 0 it becomes undefined)

The equation 24a - 22 = -4(1 - 6a) have no solution for the variable "a".

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Given:

equation 24a - 22 = -4(1 - 6a)

1. Distribute the -4 to the terms inside the parentheses:

  24a - 22 = -4 + 24a

2. Simplify the equation by combining like terms:

  24a - 22 = 24a - 4

3. Rearrange the equation by moving all the terms involving "a" to one side and the constant terms to the other side:

  24a - 24a = -4 + 22

4. Simplify  24a - 24a = -4 + 22:

  0 = 18

The equation 0 = 18 is not true, which means there is no solution.

Learn more about Equation here:

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[tex] {900}^{3} [/tex]

would have 6 zeros

Answer:

Distance between the points Q and R is 1 unit while the distance between the points R and S is 3 units

Step-by-step explanation:

Here, we want to use the absolute value of the coordinates to find the distances.

Since we are using absolute values, the negative points becomes positive;

Thus;

Q = (4,2)

R = (3,2)

S = (3,5)

Mathematically, the distance between two points in the Cartesian plane can be calculated using the formula;

D = √(x2-x1)^2 + (y2-y1)^2

The distance QR is thus;

D = √(3-4)^2 + (2-2)^2

D = √(-1)^2 + 0

D = √1 = 1 unit

The distance RS is thus;

D = √(3-3)^2 + (5-2)^2

D = √(0) + (9)

D = √9 = 3 units

Answer:

2.75

Step-by-step explanation:

Here, we want to find which part of the formula corresponds to the cost of movie tickets in 1980

The expression to find the cost is

2.75 + 0.10x

Now, x is the time since 1980

1980 is thus the starting position. The value of x at this point is 0, we simply thus make a substitution;

2.75 + 0.1(0)

=

2.75

The interpretation of the given model is required.

The cost of a movie ticket in the year 1980 was $2.75.

The given expression is

[tex]y=2.75+0.1x[/tex]

The point slope form of a line is

[tex]y=mx+c[/tex]

where,

m = Slope

c = Y intercept

The cost of movie ticket increases by $0.10 every year after 1980.

Here, [tex]x[/tex] is the number of years that have passed after 1980.

So, when [tex]x=0[/tex] it will correspond to the cost of ticket in 1980.

[tex]y=2.75+0.1\times 0\\\Rightarrow y=2.75[/tex]

The cost of a movie ticket in the year 1980 was $2.75.

Learn more:

https://brainly.com/question/7590971?referrer=searchResults

Answer:

Step-by-step explanation:

-4x+20<8

20-8<4x

12<4x

3<x

x>3

Answer:

-33/4 or -8 1/4

Step-by-step explanation:

Make similar terms:

-5/4 - 28/4: then solve

-5 - 28 = -33: put over 4

-33/4: simplify

-8 1/4

Answer:

y=x+4

y=6x-1

y=x+3

No picture of graph sorry cant describe how I would set these on a number line

Answer:

y=x+4

y=6x-1

y=x+3

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

f(x)=2^x

Now the given value is used:

4=2^x

x=2, because 2 squared is 4

Answer:

0=0, Infinite solutions

Step-by-step explanation:

For an answer to have an infinite solution, the two equations when you solve will equal 0=0. Here is a problem that has an infinite number of solutions. If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions.

If this was helpful please give brainliest, have a great day!

x=2

x=10

Woulld really appriciate brainliest here is the steps below

1.1     Factoring  x2-12x+20  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -12x  its coefficient is  -12 .

The last term, "the constant", is  +20  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 20 = 20  

Step-2 : Find two factors of  20  whose sum equals the coefficient of the middle term, which is   -12 .

     -20    +    -1    =    -21  

     -10    +    -2    =    -12    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -10  and  -2  

                    x2 - 10x - 2x - 20

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-10)

             Add up the last 2 terms, pulling out common factors :

                   2 • (x-10)

Step-5 : Add up the four terms of step 4 :

                   (x-2)  •  (x-10)

            Which is the desired factorization

Equation at the end of step

1

:

 (x - 2) • (x - 10)  = 0  

STEP

2

:

Theory - Roots of a product

2.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2      Solve  :    x-2 = 0  

Add  2  to both sides of the equation :  

                     x = 2

Solving a Single Variable Equation:

2.3      Solve  :    x-10 = 0  

Add  10  to both sides of the equation :  

                     x = 10

Supplement : Solving Quadratic Equation Directly

Solving    x2-12x+20  = 0   directly  

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

3.1      Find the Vertex of   y = x2-12x+20

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).  

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.  

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.  

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   6.0000  

Plugging into the parabola formula   6.0000  for  x  we can calculate the  y -coordinate :  

 y = 1.0 * 6.00 * 6.00 - 12.0 * 6.00 + 20.0

or   y = -16.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2-12x+20

Axis of Symmetry (dashed)  {x}={ 6.00}  

Vertex at  {x,y} = { 6.00,-16.00}  

x -Intercepts (Roots) :

Root 1 at  {x,y} = { 2.00, 0.00}  

Root 2 at  {x,y} = {10.00, 0.00}  

Solve Quadratic Equation by Completing The Square

3.2     Solving   x2-12x+20 = 0 by Completing The Square .

Subtract  20  from both side of the equation :

  x2-12x = -20

Now the clever bit: Take the coefficient of  x , which is  12 , divide by two, giving  6 , and finally square it giving  36  

Add  36  to both sides of the equation :

 On the right hand side we have :

  -20  +  36    or,  (-20/1)+(36/1)  

 The common denominator of the two fractions is  1   Adding  (-20/1)+(36/1)  gives  16/1  

 So adding to both sides we finally get :

  x2-12x+36 = 16

Adding  36  has completed the left hand side into a perfect square :

  x2-12x+36  =

  (x-6) • (x-6)  =

 (x-6)2

Things which are equal to the same thing are also equal to one another. Since

  x2-12x+36 = 16 and

  x2-12x+36 = (x-6)2

then, according to the law of transitivity,

  (x-6)2 = 16

We'll refer to this Equation as  Eq. #3.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x-6)2   is

  (x-6)2/2 =

 (x-6)1 =

  x-6

Now, applying the Square Root Principle to  Eq. #3.2.1  we get:

  x-6 = √ 16

Add  6  to both sides to obtain:

  x = 6 + √ 16

Accordingly,  B2  -  4AC   =

                    144 - 80 =

                    64

Applying the quadratic formula :

              12 ± √ 64

  x  =    —————

                   2

Can  √ 64 be simplified ?

Yes!   The prime factorization of  64   is

  2•2•2•2•2•2  

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 64   =  √ 2•2•2•2•2•2   =2•2•2•√ 1   =

               ±  8 • √ 1   =

               ±  8

So now we are looking at:

          x  =  ( 12 ± 8) / 2

Two real solutions:

x =(12+√64)/2=6+4= 10.000

or:

x =(12-√64)/2=6-4= 2.000

x=10

x=2

Hope this helps Would also appriciate brainliest

Answer: the first one

Step-by-step explanation:

No constant rate of change