Can all arithmetic sequences be modeled by a linear function?

Answers

Answer 1

Answer:

yes

Step-by-step explanation:

"We can think of an arithmetic sequence as a function on the domain of the natural numbers; it is a linear function because it has a constant rate of change."


Related Questions

Given the diagram and AB || CD, which of the following
statements is most likely to be used to show that
AECD - AEAB?
A
С
A
E
3
D
ZECD=ZECD
ZABEZECD
ZEABELECD
LEDCZEAB


Answers

It’s the last answer that’s the answer to the question

how would I show that on a number line?​

Answers

Answer:

[tex]6h+26\ge \:80\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:h\ge \:9\:\\ \:\mathrm{Interval\:Notation:}&\:[9,\:\infty \:)\end{bmatrix}[/tex]

Please check the graph of a number line is also attached below.

Step-by-step explanation:

Given the inequality

[tex]6h+26\:\ge \:\:80[/tex]

solving inequality

[tex]6h+26\ge \:80[/tex]

subtract 26 from both sides

[tex]6h+26-26\ge \:80-26[/tex]

Simplify

[tex]6h\ge \:54[/tex]

Divide both sides by 6

[tex]\frac{6h}{6}\ge \frac{54}{6}[/tex]

Simplify

[tex]h\ge \:9[/tex]

Therefore,

[tex]6h+26\ge \:80\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:h\ge \:9\:\\ \:\mathrm{Interval\:Notation:}&\:[9,\:\infty \:)\end{bmatrix}[/tex]

Please check the graph of a number line is also attached below.

what is the solution of √5x+1-√x=5

Answers

Answer: x= 16

Step-by-step explanation:

Solve for x

√(5x + 1) − √x = 5

Add √x to both sides of the equation.

√(5x + 1)^2 = 5( + √x )^2

To remove the radical on the left side of the equation, square both sides of the equation.

√5x + 12 = (5 + √x)^2

Simplify each side of the equation.

5x + 1 = 25 + 10√x + x

Solve for 10√x.

10√x  = 4x − 24

To remove the radical on the left side of the equation, square both sides of the equation.

(10√x)^2 = (4x − 24)^2

Simplify each side of the equation.

100x  = 16x^2 − 192x + 576

Solve for x.

x = 9/4 , 16  

Exclude the solutions that do not make √5x + 1 − √x  = 5 true.

x = 16

Can some one help me out!!

Answers

Answer:

The measure, in degrees, of ∠ABC = 25°

Hence, option A is true.

Step-by-step explanation:

Given

The exterior angle m∠CBD = 155°

To determine

The measure of ∠ABC

We know that the exterior angle and interior angle are supplementary angles.

In other words, adding the interior angle and an exterior angle would give us 180°.

Here:

m∠CBD = 155° is exterior angle

∠ABC is the interior angle.

When we add m∠CBD and m∠ABC we would get 180°.

m∠CBD + ∠ABC = 180°

substituting m∠CBD = 155°

155° + ∠ABC = 180°

∠ABC = 180° - 155°

∠ABC = 25°

Therefore, the measure, in degrees, of ∠ABC = 25°

Hence, option A is true.

Solve for x!!!!!.....

Answers

X=10.5
8/6=14/x
Cross multiply
8x=84
Divide 8 to both sides
X=10.5

Find the balance in Grace's account after 2 years for a principal of $2500 if the bank pays simple interest at a rate of 5.25%. A.)29762.50 B.)2862.50 C.)2762.50 D.)2772.50

Answers

Answer: C.)2,762.50

Step-by-step explanation:

The bank is paying a simple interest of 5.25%.

After 2 years, Grace's account will have:

Simple interest:

= Principal * ( 1 + rate * years)

= 2,500 * ( 1 + 5.25% * 2)

= $‭2,762.50‬

A circular disc has an area that measures between 1,650 and 1,700 square inches. What could be the length of its radius? Use 3.14 for . 23 in. 24 in. 25 in. 26 in.

Answers

Answer:

23 in

Step-by-step explanation:

We know the area of the circular disc is A = πr² where r = radius and π = 3.14.

So, r = √(A/π)

Now, if A = 1650 square inches,

r = √(A/π)

= √(1650 in²/π)

= √525.48 in²

= 22.92 in

≅ 22.9 in

Also, if A = 1700 square inches,

r = √(A/π)

= √(1700 in²/π)

= √541.40 in²

= 23.27 in

≅ 23.3 in

If the area is between 1650 in² and 1700 in², that is 1650 in² < A < 1700 in²

then, the radius is between 22.9 in < r < 23.3 in.

Since the left and right side of the inequality are approximately 23 in, the radius of the circular disc is 23 in.

The length of the radius of the circular disc is approximately is 23 in.

Hence, option A)23 in is the correct answer.

What is a circle?

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The area of a circle is expressed mathematically as;

A = πr²

Where r is radius and π is constant pi ( π = 3.14 )

Now, if the area of the circular disc is 1650in², the radius r will be;

A = πr²

1650in² = 3.14 × r²

r² = 1650in² / 3.14

r² = 525.4777in²

r = √( 525.4777in² )

r = 22.9in

Also, if the area of the circular disc is 1700in², the radius r will be;

A = πr²

1700in² = 3.14 × r²

r² = 1700in² / 3.14

r² = 541.40127in²

r = √( 541.40127in² )

r = 23.3in

Next we take the average of the two radii

Radius = ( 22.9in + 23.3in )/2 = 46.2/2 = 23.1 ≈ 23 in

The length of the radius of the circular disc is approximately is 23 in.

Hence, option A)23 in is the correct answer.

Learn more about circles here: https://brainly.com/question/11952845

#SPJ5

Which of the following values for x is true for 4x > 10?
3
O x=
4
O x = 2
O x = 2.5
OX= 3

Answers

Answer: X=3 X=4 I don’t know if this is multiple choice but those two are correct

please help me !!!!

Flying against the wind , an airplane travels 3660 kilometers in 6 hours. flying with the wind , the same plane travels 3800 kilometers in 4 hours. what is the rate of the plane in still air and what is the rate of the wind?​

Answers

Answer:

...

against the wind, an airplane travels 3640 km in 7 hours.

with the wind, the same plane travels 6000 km in 6hrs.

...

let speed of plane in still air be x mph

speed of wind be y mph.

..

t=d/r

..

against wind speed = x-y mph

with wond speed = x=y mph

...

3640/(x-y)=7

3640 = 7x-7y

/7

520=x-y.....................1

...

6000/x+y = 6

6000 = 6x+6y

/6

1000=x+y.....................2

...

Add (1) & (2)

2x=1520

/2

x=760 mph speed of plane in still air

...

plug value of x in 2

1000=760+y

100-760=y

240 = y

240 mph speed of wind

If x and y are positive real numbers, which expression is equivalent to the expression below?
[tex](125x {4}y^{ \frac{3}{2} })^{ \frac{1}{3} } \div (xy)^{ \frac{1}{2} } [/tex]

Answers

5x^5/6

Step-by-step explanation:

prove that:

cos20°cos40°cos80°=1/8​

Answers

Answer:

see explanation

Step-by-step explanation:

Using the double angle identity for sine

sin2x = 2sinxcosx

Consider left side

cos20°cos40°cos80°

= [tex]\frac{1}{2sin20}[/tex] (2sin20°cos20°)cos40°cos80°

= [tex]\frac{1}{4sin20}[/tex] (2sin40°cos40°)cos80°

= [tex]\frac{1}{4sin20}[/tex] (sin80°cos80° )

= [tex]\frac{1}{8sin20}[/tex] (2sin80°cos80° )

= [tex]\frac{1}{8sin20}[/tex] . sin160°

= [tex]\frac{1}{8sin20}[/tex] . sin(180 - 20)°

= [tex]\frac{1}{8sin20}[/tex] . sin20°

= [tex]\frac{1}{8}[/tex] = right side , thus proven

Step-by-step explanation:

hope its helps you have a great day keep smiling be happy stay safe ☺

Let m=7 , r = 8, and t=2

Evaluate the expression. mr/t

Answers

Answer:

28

Step-by-step explanation:

7 times 8 /2

56/2

28

if that was what you were supposed to do,,

Answer:

mr/t=28

Step-by-step explanation: If m=7, r=8 and t=2, then the equation is 7(8)/2. 7*8=56 and then 56/2=28.

Determine the slope of the line perpendicular to that of the function graphed below.


I AM IN DYING NEED OF HELP

Answers

It’s just the opposite of the original slope. If the original is 4/5, then the opposite would be -5/4

Answer:

y=4/5x -5

Step-by-step explanation:

the slope is x and x is on the point -5. and d

to find the y-intercept you do rise/run

Number of weeks and amount of money in account chart

Answers

the answer would be C.

PLEASE HELP ME WITH THIS PROBLEM I WILL FAIL​

Answers

Answer:

The answer is b

Step-by-step explanation:

5. Read the problem carefully, then choose the inequality that best represents this real life situation. Explain your thinking. Lydia spent $2.50 per pound on apples and $1.80 per pound on oranges. She spent at most $22. Which inequality represents this situation?
(Let a = pounds of apples, and r = pounds of oranges)
a) 2.50 + 1.80 = 22
b) 2.50a + 1.80r = 22
c) 2.50a + 1.80r ≤ 22
d) 2.50a + 1.80r ≥ 22 ​

Answers

Answer:

B

Step-by-step explanation:

The answer is B

B. 2.50a + 1.80r =22

g(x)=2x-1
h(x)=x^2-3x
find g(x)+h(x)

Answers

I think its g(x^2-3x)=2x^2-6x-1

Answer:

[tex](2x - 1) + ({x}^{2} - 3x) \\ = {x}^{2} - 1x - 1 \\ [/tex]

In a school, 2/3 of the students study a language.
Of those who study a language 2/5 study French
Find the ratio of students who study French to students who do not study French.
Give your answer in its simplest form.

Answers

Answer:

4 : 11

Step-by-step explanation:

Given that:

Fraction of language students = 2/3

Number of students who study French :

2/5 of 2/3

2/5 * 2/3 = 4 /15

Those who do not study French :

Total fraction of entire student :

1 - 4/ 15

(15 - 4) / 15

11/15

Ratio of French to non-french

4/15 : 11/15

4/15 ÷ 11/15

4/15 * 15/ 11

4 / 11

4 : 11

plzz help me

Solve -24 = 6x. Show your work.

Answers

Answer:

x = -4

Step-by-step explanation:

-24 = 6x

________

Switch sides:

6x = -24

________

Divide both sides by 6:

6x/6 = -24/6

________

Simplify:

X = -4

Answer:x = -4

Step-by-step explanation:

Consider this expression. Select the correct statements.
-6m + 12n + 24
A)
24 is a constant term.
B)
The expression has 3 terms.
The expression he terms.
D
-6 and 12 are coefficients.
E)
-6m and 12n are constant terms.

Answers

Answer:

A, B, D

Step-by-step explanation:

A: 24 is a constant term, TRUE

B: The expression has 3 terms, TRUE

Don't know where 'C' is?

D: -6 and 12 are coefficients, TRUE

please help i will give Brainliest to the correct one. Use the Distributive Property to rewrite the expression in its equivalent formImmersive Reader -2x(3y+5)

Answers

Answer:

6

1

0

Step-by-step explanation:

there you go!

Two whole numbers have a least common multiple of 60. each number is less than or equal to12 the greatest common factor of the two numbers is 2 what are the two numbers

Answers

Answer:

The answer is 2 and 4. Their multiples can arrive at 60, they are less than 12, and the GCF for both numbers is 2.

Step-by-step explanation:

Question 4
10 pts
Question 6
Question 7
Question 8
What is the length of line segment DK to the nearest tenth of an inch?
Time Running Hide
1 Hour, 26 Minutes, 25 Sec
16 in
430
D
O 10.9 in
0 21.9 in
O 23.5 in.
O 11.7 in.
« Previous
Next

Answers

Answer:

C = 23.5 in

Step-by-step explanation:

θ = 43°

The length of the side opposite to θ = 16 in.

Hypotenuse = DK

Apply trigonometric ratio, thus:

sin(θ) = opp/hyp

Plug in the values

sin 43 = 16/DK

Multiply both sides by DK

DK*sin 43 = 16

Divide both sides by sin 43

DK = 16/sin 43

DK = 23.5 (nearest tenth of an inch)

10.3
divided by 200.3865

Answers

Answer:  0.0514006682 and yes i looked it up bc nobody has time for that

Step-by-step explanation:

Answer:

0.051

Step-by-step explanation:

Hope this helps!

fivestar farm purchased 2400 apple trees. If 80 trees can be planted on each acre of land, how many acres will be needed to plant all the trees?

Answers

Answer:

30

Step-by-step explanation:

To find the answer you would need to do 2400 divided by 80 which = 30

Hope this helped :)

A is directly proportional to B when A = 12, B = 3 a) find a formula for A in terms of B b) find the value of A when B = 5 c) find the value of B when A = 36

Answers

Answer:

a) A = kB

b) 20

c) 9

Step-by-step explanation:

A is directly proportional to B when A = 12, B = 3

a) find a formula for A in terms of B

A ∝ B

A = kB

Where k is constant of proportionality

when A = 12, B = 3

12 = 3k

k = 12/3

k = 4

b) find the value of A when B = 5

A = kB

k = 4

A = 4 × 5

A = 20

c) find the value of B when A = 36

k = 4

A = kB

B = A/k

B = 36/4

B = 9

what is thirty five percent

Answers

this makes no sense 35 percent of what

Answer:

i dont know what you need 35% as but..

Step-by-step explanation:

Decimal : 0.35

Fraction: 7/20

does 3/7 , 12/21 make a proportion

Answers

Yes it does hope this helps

Answer:

No, it does not.

Step-by-step explanation:

The question, does 3/7 and 12/21 make a proportion, does not. It does not make a proportion, because for 3 to equal 12, you must multiply by four. when you multiply 7 by 4, you get 28. that is not right. if this explanation is too confusing, i added a picture

Anybody know the answer for this? ;-;

Answers

Answer: the first answer choice

Step-by-step explanation:

Answer:

i think its the bottom one but i dont know

Step-by-step explanation:

7 times what equals 17?

Answers

Answer:

119

Step-by-step explanation:

Nothing because I know my multiples
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