MATHEMATICS HIGH SCHOOL

Determine if the sequence is arithmetic write yes or no 5,9,14,20

Answers

Answer 1

Answer:

Final answer:

The sequence 5, 9, 14, 20 is not arithmetic.

Explanation:

Yes, the sequence 5, 9, 14, 20 is an arithmetic sequence.

To determine if a sequence is arithmetic, we need to check if the difference between consecutive terms is constant.

In this sequence, the difference between consecutive terms is:

9 - 5 = 4

14 - 9 = 5

20 - 14 = 6

Since the differences are not constant, the sequence is not arithmetic. The answer is no.

Learn more about Arithmetic Sequences here:

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Answer 2

Answer:

Answer: No

Step-by-step explanation:

An arithmetic sequence is one where the same number is being added to the number before it. For example, 2, 4, 6, 8..., where 2 is being added to each number.

In this case, however, the number being added is not consistent with this pattern. Between 5 and 9, the difference is 4 and between 9 and 14, the difference is 5, and so forth. This pattern does not follow the rules of an arithemtic sequence.

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Evaluate 2(x+1)-3 when x=6
An arc on a circle measures 125°. The measure of the central angle, in radians, is within which range?
-4(x+5)=-4x-20 how do you answer it
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How do I do x/3-x/9=6 Pls solve with steps

Answers

Answer:

Step-by-step explanation:

Hello,

do you agree that

$(1)/(3)-(1)/(9)=(3-1)/(9)=(2)/(9)$ ?

Then,

we can simplify as below and multiply by 9 both sides and divide by 2

$(x)/(3)-(x)/(9)=(2x)/(9)=6\n\n<=> 2x = 54\n\n<=> x = 54/2= 27$

Thanks

A recipe for modeling clay requires 1/3 cup of salt. how many recipes of salt can carla make with 7 3/4 cups of salt

Answers

Answer:

- The error is: $((31)/(4))((1)/(3))$

- The correct solution is: $(93)/(4)=23^{(1)/(4)}$ (Carla can make approximately 23 recipes with the clay).

Step-by-step explanation:

1. Carla must divide $(31)/(4)$ ÷ $(1)/(3)$ as following:

- Take the reciprocal of $(1)/(3)$ .

- Multiply the numerators and the denominators.

Then:

$((31)/(4))((1)/(3))=((31)(3))/((4)(1))=(93)/(4)$

2. As a mixed number:

$(93)/(4)=23^{(1)/(4)}$

3. Therefore, Carla can make approximately 23 recipes with the clay.

The formula for centripetal acceleration, a, is given by this formula, where v is the velocity of the object and r is the object’s distance from the center of the circular path: a=v^2/r . Solve the formula for r.

Answers

Answer:

r = V^2/a

Step-by-step explanation:

Here, we want to write the formula for r

What this simply mean is that we want to make r the formula subject

We have this as follows;

a = V^2/r

r = V^2/a

The midpoint of a segment is (−6,−5) and one endpoint is (1,3). Find the coordinates of the other endpoint.A. (8, 11)
B. (8, -13)
C. (-13, -13)
D. (-13, 11)

Answers

Answer: C. (-13, -13)

Step-by-step explanation:

The midpoint (x,y) of a line segment having two end points (a,b) and (c,d) is given by :-

$x=(a+c)/(2)\ ;\ y=(b+d)/(2)$

Given : The midpoint of a segment is (-6,-5) and one endpoint is (1,3).

Let the coordinates of other end point be (a,b) then , we have

$-6=(a+1)/(2)\ ;\ -5=(b+3)/(2)\n\n\Rightarrow\ a+1=2*-6\ ;\ b+3=2*-5\n\n\Rightharrow\ a+1=-12\ ;\ b+3=-10\n\n\Rightarrow\ a=-12-1\ ;\ b=-10-3\n\n\Rightarrow\ a=-13,\ ;\ b=-13$

Hence, the coordinates of the other endpoint = (-13,-13)

C. (-13,-13)
You take the x of the midpoint and equal it to the formula of the midpoint so it will be -6 = 1+x/2 so 1st you times 2 by 6 because you wanna get rid of 2 so it will -12 Then when you move 1 so x is alone it will be -1 so -12-1= -13
Same thing for y

Which terms are like terms in the following expression?
6x+8xy-3x+9y+4x to the expression of 2

Answers

What is 2566.88 divided by 150

The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm?

Answers

what we can do is set up an algebraic equation.

our variable can me L for Length

3L+4L+5L=90

now all we have to do is solve

12L=90
---- ----
12 12

L=7.5

now multiple each number in the ratio by 7.5 to find out how long each side is

3 times 7.5 is 22.5
4 times 7.5 is 30
5 times 7.5 is 37.5

the side lengths are 22.5, 30, and 37.5

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