Find the common difference of the arithmetic sequence 4, 2, 0,

Answers

Answer 1

Explaination :

Remember that common difference is simply calculated by substracting the second number from first number. i.e., (4 - 2 = 2)

Therefore,

Common difference is 2

Additional Information :

Arithmetic progression (A.P.) is a sequence in which each term can be found by adding a certain quantity to its preceding termDifference between two consecutive terms is called common differenceProgression means it's a type of sequence in which each term is related to its predecessor and successor.

Related Questions

The number 3 represents of the class.

Answers

Answer:

WE CANT ANSWER WITH THAT LITTLE OF INFORMATION

Can someone help me?

Answers

Answer:

Step-by-step explanation:it is the degree of 4

Find all values of k for which the equation 3x^2−4x+k=0 has no solutions.

Answers

Answer:

k>1 1/3

Step-by-step explanation:

i have rsm too bro

The given equation has no solution when K is any real number  and k>12

We have given that

3x^2−4x+k=0

△=b^2−4ac=k^2−4(3)(12)=k^2−144.

What is the condition for a solution?

If Δ=0, it has 1 real solution,

Δ<0 it has no real solution,

Δ>0 it has 2 real solutions.

We get,

Δ=k^2−144 here Δ is not zero.

It is either >0 or <0

Δ<0 it has no real solution,

Therefore the given equation has no solution when K is any real number.

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If ABC~ DEF, what is the scale factor of ABC to DEF?

Answers

Answer:

that would be 1/2 because its the only one that could reduce the numbers.

Step-by-step explanation:

hope this helps,

kleann

The scale factor of the triangle ΔABC to ΔDEF will be 1/2. Then the correct option is A.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

The triangle ΔABC is similar to the triangle ΔDEF. Then the ratio of the corresponding sides will be constant. Then the scale factor is calculated as,

SF = 10 / 20

SF = 1 / 2

The scale factor of the triangle ΔABC to ΔDEF will be 1/2. Then the correct option is A.

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the other two questions are asking what is the actual length and what is the actual witdh.so yea...

Answers

Answer:

the answer could be 60

Step-by-step explanation:

I could be wrong sorry if I am

Find The Eqn Of Normal To The Curve y= x² - x - 6 at The Point Where It Process x - axis.​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

If it passes through x, then let's find x when y = 0

[tex]\qquad \tt \dashrightarrow \:0 = {x}^{2} - x - 6[/tex]

[tex]\qquad \tt \dashrightarrow \: {x}^{2} - 3x + 2x - 6 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:x(x - 3) + 2(x - 3) = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:(x - 3) (x + 2) = 0[/tex]

So, required values of x are 3 and -2

Now, let's differentiate the equation to get slope slope for tangent ~

[tex]\qquad \tt \dashrightarrow \: m = \dfrac{d}{dx} ( {x}^{2} - x - 6)[/tex]

[tex]\qquad \tt \dashrightarrow \: m = 2 x - 1[/tex]

Now, plug in the values of x to find slopes of tangents

[tex]\qquad \tt \dashrightarrow \: m _1 = (2 \times 3) - 1[/tex]

[tex]\qquad \tt \dashrightarrow \: m_1 = 6 - 1[/tex]

[tex]\qquad \tt \dashrightarrow \: m _1 = 5[/tex]

and

[tex]\qquad \tt \dashrightarrow \:m_2 = (2 \times - 2) - 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m_2 = - 4- 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m_2 = - 5[/tex]

We know, tangent are normal are perpendicular. so let's find out slopes of normals m1' and m2'

[tex]\qquad \tt \dashrightarrow \:m _1\cdot m_1 ' = - 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m _1' = \dfrac{- 1}{m_1}[/tex]

[tex]\qquad \tt \dashrightarrow \:m _1' = \dfrac{- 1}{ 5}[/tex]

and

[tex]\qquad \tt \dashrightarrow \:m _2\cdot m_2 ' = - 1[/tex]

[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{- 1}{m_2}[/tex]

[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{- 1}{ -5}[/tex]

[tex]\qquad \tt \dashrightarrow \:m _2' = \dfrac{1}{ 5}[/tex]

Now, write the equations of normals using point slope form :

Normal 1 : passing through (3 , 0), and slope = -1/5

[tex]\qquad \tt \dashrightarrow \:y - 0 = - \dfrac{1}{5} (x - 3)[/tex]

[tex]\qquad \tt \dashrightarrow \:5y = - (x - 3)[/tex]

[tex]\qquad \tt \dashrightarrow \:5y = - x + 3[/tex]

[tex]\qquad \tt \dashrightarrow \:x + 5y - 3 = 0[/tex]

and

Normal 2 : passing through (-2 , 0), and slope = 1/5

[tex]\qquad \tt \dashrightarrow \:y - 0 = \dfrac{1}{5} (x - ( - 2))[/tex]

[tex]\qquad \tt \dashrightarrow \:5y = x + 2[/tex]

[tex]\qquad \tt \dashrightarrow \ x - 5y + 2 = 0[/tex]

That's all for Aunty ~ hope it helps !

hey I need help please help if you can ty!!! :)))​

Answers

Answer:

12.3

Step-by-step explanation:

cause it's to the tenth which is the decimal place right after the decimal which make 12.342 12.3

the question is in the image

Answers

Check the picture below.

now, keeping in mind that ratio of the sides is the same as the ratio of the perimeters.

[tex]\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides}{\cfrac{6}{9}}~~ = ~~\stackrel{perimeters}{\cfrac{20}{p}}\implies \cfrac{2}{3}=\cfrac{20}{p}\implies 2p=60 \\\\\\ p=\cfrac{60}{2}\implies p=30 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{\stackrel{small}{trapezoid}}{\stackrel{large}{trapezoid}}\qquad \stackrel{sides^2}{\cfrac{6^2}{9^2}}~~ = ~~\stackrel{areas}{\cfrac{A}{45}}\implies \cfrac{36}{81}=\cfrac{A}{45}\implies \cfrac{4}{9}=\cfrac{A}{45} \\\\\\ 180=9A\implies \cfrac{180}{9}=A\implies 20=A[/tex]

Will give brainliest thanks so much!!!

Answers

Answer:

76.6%

Step-by-step explanation:

345/450 * 100%

I hope it helps and sorry if I'm wrong


Please help me please

Answers

Answer: x is 125

Step-by-step explanation: Angles P and S are also consecutive angles, adding up to 180 degrees. 180-55 = 125, so adding the two angles together is 180 degrees. Thus, x is 125.

Given f(x)=x^3-7x+k, and the remainder when f(x) is divided by x-5 is 78, then what is the value of k?

Answers

Answer:

the answer is k= -12

Step-by-step explanation:

use x-5= 0

x=5

Which of the following correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping? Please show explanations - also please do not ask any further question other than answering from what is questioned.

A) 3w(x + y) - 4z(x + y)
B) 3w(x + y) + 4z(x - y)
C) 3w(x + y) + 4z(x + y)
D) w(3x + 3y) - z(4x + 4y)

Answers

3w(x+y) - 4z(x+y)

Step-by-step explanation:

Hope it helps......

3w(x + y) + 4z(x - y) correctly shows the first step when factoring 3wx + 3wy - 4zx - 4zy by grouping. Option B

How to solve this

To factor by grouping, we first pair up the terms and then check if there is a common factor in each pair.

The given expression is  3wx + 3wy - 4zx - 4zy

First, put the terms into pairs.

The simplified version of the expression (3wx + 3wy) - (4zx + 4zy) is 3wx + 3wy - 4zx - 4zy.

Next, separate and remove the terms that are the same from each group.

The expression 3w(x + y) - 4z(x + y) can be simplified to (3w - 4z)(x + y).

This is a summary:

In option B, we have correctly put the terms together in pairs and found the common factors in each group. In the first group, we take out 3w from 3wx and 3wy, and in the second group, we take out 4z from 4zx and 4zy. This means that the expression is correct when it is written as factors.

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someone help, its calc

Answers

Differentiate

[tex]\\ \rm\rightarrowtail f'(x)=\dfrac{d}{dx}(2x^2+9x)[/tex]

[tex]\\ \rm\rightarrowtail 4x+9[/tex]

Put x=5

f'(5):-

4(5)+920+929

Option C

instantaneous rate can be found by differentiating the function.

Here,

f(x) = 2(x)² + 9(x)

so differentiating:

f'(x) = d/dx (2(x)² + 9(x))f'(x) = 4(x) + 9

So when x = 5,

f'(5) = 4(5) + 9f'(5) = 20 + 9f'(5) = 29

If the point (-4,b) is on the line what is the value of b

Answers

Answer: if you are talking about a grid than the answer is 0.

Step-by-step explanation: this is becasuse the y coordinate is the elevation of the x coordinate. B is 0 because it is on the line meaning it has no elevation

-5x+2<12 please someone help

Answers

Answer:

[tex]\boxed{\sf{x > -2}}[/tex]

Step-by-step explanation:

Put the term x on one side of the equation.

-5x+2<12

Subtract by 2 from both sides.

[tex]\Longrightarrow: \sf{-5x+2-2 < 12-2}[/tex]

Solve.

Subtract the numbers from left to right.

⇒ 12-2=10

⇒ -5x<10

Multiply by -1 from both sides.

⇒ (-5x)(-1)>10(-1)

Solve.

Multiply the numbers from left to right.

-5x*-1=5x

10*-1=-10

→ 5x>-10

Divide by 5 from both sides.

→ 5x/5>-10/5

Solve.

Divide the numbers from left to right.

-10/5=-2

[tex]\Longrightarrow: \boxed{\sf{x > -2}}[/tex]

Therefore, the correct answer is x>-2.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

[tex]x > -2[/tex]

Step-by-step explanation:

Given the following question:

[tex]-5x+2 < 12[/tex]

To find this answer we subtract two on both sides then isolate the variable by dividing 5 on both sides.

[tex]-5x+2 < 12[/tex]
[tex]2-2=0[/tex]
[tex]12-2=0[/tex]
[tex]-5x < 10[/tex]
[tex]-5x\div-5=x[/tex]
[tex]10\div-5=-2[/tex]
[tex]x > -2[/tex]

Which means your answer is "x > -2."

Hope this helps.

What is the degree of the polynomial?

1

2

4

6

Answers

Answer:

The answer is 6.

Step-by-step explanation:

The degree is the largest exponent on the variable. And in this case the answer is 6.

Find the mean absolute deviation of the data below:

7,4,7,7,2,10,12,8,7,5

Answers

mean formula number of values divided by the total of all the values

so

100 divided by 10

ans 10

Find the distance between the points

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

[tex]x1 = 2 \: \: y1 = 1 \\ x2 = 8 \: \: \: y = 9 \\ \\ \\ distance \: between \: two \: poit \: \\ = \sqrt{(x2 - x1) {}^{2} + (y2 - y1}) {}^{2} \\ \sqrt{(8 - 2) {}^{2} + (9 - 1) {}^{2} } \\ \sqrt{(6) {}^{2} + (8) {}^{2} } \\ \ = \sqrt{36 + 64} \\ = \sqrt{100 } \\ = 10[/tex]

If the sum of the circumference and the diameter of a circle is 145 cm, what is the length of its circumference​

Answers

Answer:

110 cm

Step-by-step explanation:

Hope it will help you.

. Marcella leaves home at 8:00 AM and drives to school, arriving at 8:45 AM. If the distance she
traveled is 27 miles, what is Marcella's average rate of speed in miles per hour?

Answers

Step-by-step explanation:

the formula is distance/time

since it is miles per hour and the time is given in minutes. you divide 45minutes by 60(to convert it to hour) and then you divide 27 by the answer

James is competing in the shot put event for his tracJames is competing in the shot put event for his track team. His best attempt can be modeled using the quadratic function below,
h(x)= -0.05x^2+ x + 6
where x represents the horizontal distance, in feet, the shot traveled and h(x) represents the height, in feet, of the shot.
In this situation, the height of the shot starts to increase when
x = feet. (11 , 0, 10, or 6)
It continues to increase until
x = feet, (6, 20, 11, or 10)
and then the height decreases until
x = feet. (10, 20, 24, or 11)

Answers

The height of the shot starts to increase when x is -5 feet, It continues to increase until x = 10 feet and then the height decreases until x = 25 feet

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h(x) represent the height of the shot put, when the horizontal distance is x feet.

h(x)= -0.05x² + x + 6

From the graph of h(x):

The height of the shot starts to increase when x is -5 feet, It continues to increase until x = 10 feet and then the height decreases until x = 25 feet

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Solve for x. Leave your answer in simplest radical form

Answers

Answer:

x = 2√7

using Pythagoras theorem:

7² + ?² = 9²?² = 81 - 49? = √32? = 4√2

For the bottom part:

x² + 2² = (4√2)²x² + 4 = 32x² = 28x = √28x = 2√7

Answer:

this is my answer

5.29

Step-by-step explanation:

Hope this helps

Please help me I will give brainliest

Answers

Answer:

2,250 yd^3

Step-by-step explanation:

formula for pyramid is lwh/3

2,250 is the answer
Ik this cause I took the test

the average of a class of 25 students is 12 years. if a boy is leave the class the average age of the class falls down to 11.8 75. find the age of the boy who left the class.​

Answers

ANSWER

solution

here,

Correct option is B)

Total age of 40 old students =40×15=600years.

Total age of 40 old and 10 new students =50×15.2=760years

∴ Total age of 10 new students =760−600=160years

∴ Required average age =

10

160

=16years

Answer:

16 years is the answer

Step-by-step explanation:

My account got deactivated I am about to cry

LMNO is a kite. LO is 5 less than two times NO. The perimeter is 32 cm. Let x represent the length of side NO.

Answers

Answer: 7 cm

Step-by-step explanation:

Which fee could decrease an investor’s return on investment when the investor may not have bought or sold any stock for a significant period of time?

Answers

Answer:

the answer is B

Step-by-step explanation:

Answer:

inactivity fee

Step-by-step explanation:

hurry !!! not much time left

Answers

The correct answer would be:

-10x + y = 4

10x - y = -4

Susana went on a trip. She covered a total of 135.7 km without making any stops along the way. and it took her exactly 2 hours to drive at her destination. At what average speed did she drive?

Answers

Answer:

67.85 kph

Step-by-step explanation:

Formula: Distance / Time = Speed per hour
135.7 / 2 = 67.85

Steve travels from NYC to Boston at 90 mph
and returns to NYC at 60 mph taking 6 hours
total for the round-trip without stopping. What is
the distance between NYC and Boston?
(A) 192 mi.
(B) 208 mi.
(C) 216 mi.
(D) 224 mi.
(E) 272 mi.

Answers

Answer:

C

Step-by-step explanation:

d / rate = time

d / 90  + d/60  = 6 hours

(2d+ 3d)/180 = 6

5d = 1080

d = 216 miles

The distance from NYC to Boston is 216 miles.

We have a guy named Steve travels from NYC to Boston at 90 mph and returns to NYC at 60 mph taking 6 hours total for the round-trip without stopping.

We have to determine distance between NYC and Boston.

What is the formula to calculate the distance travelled by the body moving with speed ' v mph '  for  ' t hours '.

The distance covered by the body will be -

d = v x t

According to question, we have -

Assume that the distance travelled by Steve from NYC to Boston be x.

Then, total distance covered for the round trip = 2x.

From NYC to Boston -

Suppose that in going from NYC to Boston, Steve takes t hours. Then

x =  90 x t            (1)

From Boston to NYC -

Steve will take (6 - t) hours to travel the distance. Then -

x = 60 x (6 - t)         (2)

Now, Equating the equations (1) and (2), we get -

90 x t = 60 x (6 - t)

1.5t = 6 - t

1.5t + t = 6

2.5 t = 6

t = [tex]\frac{12}{5}[/tex] = 2.4 hours

Therefore -

x = 90 x 2.4 = 216 miles

Hence, the distance from NYC to Boston is 216 miles.

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What is the arithmetic mean of the
following numbers?
8, 10, 8,5, 4, 7,5,10,8

Help

Answers

Answer:

its simple just add all of the numbers and then divide it by the total frequency

Step-by-step explanation:

4+5+5+7+8+8+8+10+10

            8

=65

  8

=8.125

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