What is the ninth term of the arithmetic sequence defined by the rule below?
A(n) = -15 + 2(n – 1).
A. 1
B. -1
C. 31
D. -31

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Substitute n = 9 into the nth term rule

A(9) = - 15 + 2(9 - 1) = - 15 + 2(8) = - 15 + 16 = 1 → A


Related Questions

Solve the equation 6(2x+4)^2=(2x+4)+2 a x=-5/3 or -9/4

Answers

Answer:

x=5/3

Step-by-step explanation:

Answer:

-5/3 or -9/4 is the answer

Step-by-step explanation:

Just completed it

what number is 100`000 more than seven hundred two thousand eight three

Answers

Answer:

802,083

Step-by-step explanation:

An account that yields 6% simple interest annually has $2,000. How much will be in the account after 3 years if no other deposits or withdrawals are made?​

Answers

Answer:

$2,382.03

Step-by-step explanation:

Interest = Principal x Rate x Time

How to slove this equation in simple form -9(8v-2v)+10b - (100v+6)

Answers

Answer:

- 154v + 10b - 6

Step-by-step explanation:

-54v + 10b - 100v - 6

-154v + 10b - 6

What is 1/3 of 9/5 please help.

Answers

3/5 (1 x 9)/(3 x 5)= 9/15

Can someone please help me with this and tell me the points?

Answers

Answer:

Graph: Refer to attached image

Solution: (-5,-3)

Step-by-step explanation:

First graph to two equations.

Refer to the image attached to see what the equations would look like when graphed.

Wherever they intersect is the solution.

They intersect at (-5,-3) therefore (-5,-3) is the solution to the system of equations

solve each equation by factoring 12p^2+78p-151= -7

Answers

Answer:

 Ok so im not to sure but I think its 40.62 but i could be wrong since it was worded odd

Step-by-step explanation

A rectangular sticker has an area of 50 square centimeters. Its perimeter is 30 centimeters. What are the dimensions of the sticker?

___centimeters by ____ centimeters

Answers

Length + width = 1/2 the perimeter:30/2 = 15

Area = length x width

List the factors of 50: 1, 2, 5, 10, 25, 50.

Find the two factors that when added together equal 15:

Dimensions are 5 cm by 10 cm.

See attachments for answer and math work.

29. ERROR ANALYSIS Describe and correct the error in
rewriting the expression in rational exponent form.

Answers

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeee nose perdon xd

According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 2x â€" 24. â€"4, â€"3, 2, 3, 4 Which are actual roots of f(x)?.

Answers

Rational root theorems are used to determine the potential roots of a polynomial function

The actual roots are 3 and -4The potential roots are [tex]\pm0.5, \pm1, \pm 1.5, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24[/tex]

The function is given as:

[tex]f(x) = 2x^2 + 2x - 24[/tex]

Expand

[tex]f(x) = 2x^2 + 8x - 6x - 24[/tex]

Expand

[tex]f(x) = 2x(x + 4) - 6(x + 4)[/tex]

Factor out x + 4

[tex]f(x) = (2x -6)(x + 4)[/tex]

Set to 0

[tex](2x -6)(x + 4) = 0[/tex]

Split

[tex](2x -6) = 0\ or\ (x + 4) = 0[/tex]

Make x the subject in both cases

[tex]2x = 6\ or\ x= -4[/tex]

Solve for x

[tex]x = 3\ or\ x= -4[/tex]

So, the actual roots are 3 and -4

Recall that, the function is:

[tex]f(x) = 2x^2 + 2x - 24[/tex]

For a function,

[tex]f(x) = px^n + ax^{n-1} +.......+q[/tex]

According to rational root theorem, the roots of f(x) are:

[tex]Roots = \pm \frac{Factors\ of\ q}{Factors\ of\ p}[/tex]

The roots of 24 are:

[tex]24 = \pm1, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24[/tex]

The roots of 2 are:

[tex]2 = \pm1, \pm2[/tex]

So, the possible roots are:

[tex]Roots = \frac{\pm1, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24}{\pm 1, \pm 2}[/tex]

This gives:

[tex]Roots = \pm1, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24,\pm0.5, \pm1, \pm 1.5, \pm 2, \pm 3, \pm 4, \pm6\pm 12[/tex]

Remove repetitions

[tex]Roots = \pm0.5, \pm1, \pm 1.5, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24[/tex]

Read more about rational root theorem at:

https://brainly.com/question/11015301

3 and -4 dudes and dudettes

edg2022

If y ♾x and y = 2 when x = 8, then y = 3 when x =

Answers

Answer:

12

Step-by-step explanation:

The Constant (K) is equal to 8/2 aka 0.25 making the formula now y = 0.25 × x

We have y as 3 so

3 = 0.25 × x we take the 0.25 to the other side by dividing on both sides.. this makes it cancel out on the right.

x is now equal to 3/0.25 which is 12. X = 12

Answer:

Is the answer 9 for the last x

Step-by-step explanation:

hope this helps

Calculate the measure of angle ADB if angle ACB is 50 degrees.

Answers

Answer:

ADB=50°

Step-by-step explanation:

Angles subtended by the same segment are equal

Therefore,the angle ∠[tex]ADB=40[/tex] degree.

What are the angles?

An angle is a form of geometrical shape, that is constructed by joining two rays to each other at their end-points.

Here given that ∠[tex]ACB=50[/tex] degree and we know alternates angles are equal so ∠[tex]CAD=50[/tex] degree.

And [tex]AD[/tex] is parallel to [tex]BC[/tex].

Therefore, the diagonals of a rhombus are at right angled.

So, ∠[tex]AOD=90[/tex] degree

Now, In Δ[tex]AOD[/tex],

∠[tex]ADO+[/tex]∠[tex]DAO+[/tex]∠[tex]AOD=180[/tex] degree

∠[tex]ADO+50+90=180[/tex]

∠[tex]ADO=+140=180[/tex]

∠[tex]ADO=180-140[/tex]

∠[tex]ADO=40[/tex] degree

or

∠[tex]ADB=40[/tex] degree.

Hence, the angle ∠[tex]ADB=40[/tex] degree.

To know more about the angles

https://brainly.com/question/15277238

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hehehehehehhhehehe help

Answers

Answer:

Y=2

Step-by-step explanation:

If x=3 we can see that every two lines is 1 number up then the last

same for y access. Y=-2

Answer:

-2

Step-by-step explanation:

A polygon with area 10 square units is dilated by a scale factor of k. Find the area of the image for each value of k.
a k=4
square units
b. k=1.5
square units
ck=1
square units

Answers

Answer:

a = 160 square units

Step-by-step explanation:

The areas of the image are 160, 22.5 and 10 square units

The area of the polygon is given as:

A =10 square unit

The area of the image of the polygon is calculated as:

[tex]A_k = A * k^2[/tex]

When k = 4, we have:

[tex]A_4 = 10 * 4^2[/tex]

[tex]A_4 = 160[/tex]

When k = 1.5, we have:

[tex]A_{1.5} = 10 * 1.5^2[/tex]

[tex]A_{1.5} = 22.5[/tex]

When k = 1, we have:

[tex]A_{1} = 10 * 1^2[/tex]

[tex]A_{1} =10[/tex]

Hence, the areas of the image are 160, 22.5 and 10 square units

Read more about dilation at:

https://brainly.com/question/3457976

Which function has the same domain as y= 2 sqrtx

Answers

Answer: the first option.

Step-by-step explanation:

Answer:

[tex]f(x) = \sqrt{x } - 2 \ \\ f(x) = 5 \sqrt{x} [/tex]

if a necklace was on discount 10% and the original price was $20 what was the amount of discount?​

Answers

Answer:

10$

Step-by-step explanation:

dollars hope it helps

Answer:

its 10$

Step-by-step explanation:

Harry and Matthew, have 56 toys to build. harry builds three fourths of the toys, while matthew builds one seventh of the toys. How many toys are there left to build?

Answers

Answer:

i don't know

Step-by-step explanation:

is 6:1 equivalent to 12:3

Answers

Answer: No, absolutely not,

Step-by-step explanation: 6x2 = 12, so you have to multiply by 2 on each side. 1x2=2, so the equivilent ratio is 12:2!

Answer: Nope

Step-by-step explanation: No, because you can see they multiply 1 x 3 to get to 3, but if you multiply 6 x 3, it equals 18, not 12. (6 x 2 = 12) but they have to have the same denominator and numerator to be equivalent. Therefore, no, they are not equivalent.

Term insurance has no value as an investment and is the most expensive type of life insurance.
True
Or false

Answers

Answer:

  False

Step-by-step explanation:

It is true that term insurance has no value as an investment. However, it is the least expensive type of life insurance. The compound statement is false, because one of the elements of the statement is false.

Answer:

false

Step-by-step explanation:

Question 16

What is the shortest distance between the line y = 2x+4 and the point at (0.0)? Round to the nearest tenth.


O A) 1.8

O B) 2.0

O C) 3.2

O D) 4.0

Answers

the answer is 1.78 but rounded to the nearest tenth would be 1.8 which would be A.
hope this helps!

The shortest distance between the line y = 2x+4 and the point at (0.0) is 1.8 units option (A) is correct.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that:

The equation of the line is:

y = 2x + 4

Or

2x - y + 4 = 0

The point is (0, 0)

As we know, the formula for the shortest distance between the line and a point:

D = |ax + bx + c|/√(a²+b²)

Plug x = 0 and y = 0

a = 2, b = -1, and c = 4

D = |2(0) + -1(0) + 4|/√(2²+(-1)²)

D = 4/√5

D = 1,78 ≈ 1.8 units

Thus, the shortest distance between the line y = 2x+4 and the point at (0.0) is 1.8 units option (A) is correct.

Learn more about the straight line here:

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What’s the difference between an event and in event handler

Answers

Answer:

There’s a subtle, but important difference between these 2 methods of handling events. If you’ll use the first method, event handlers, the difference is that if you add two event handlers for the same button click, the second event handler will overwrite the first and only that event will trigger

Step-by-step explanation:

i hope this answer your questions

Which equation could have been used to create this table?


y = 3x


y = x + 3

y = x + 2


y = 4x

Answers

Answer:

y = 3x

Step-by-step explanation:

Can someone pls help me

Answers

Answer:

6π Km

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

    = 2πr × [tex]\frac{120}{360}[/tex]

   = 2π × 9 × [tex]\frac{1}{3}[/tex]

   = 18π × [tex]\frac{1}{3}[/tex]

  = 6π Km ← exact value

The height, h, in feet of a piece of cloth tied to a waterwheel in relation to sea level as a function of time, t, in seconds can be modeled by the equation h = 15 cosine (StartFraction pi Over 20 EndFraction t). How long does it take for the waterwheel to complete one turn? 5 seconds 10 seconds 20 seconds 40 seconds.

Answers

Solving the trigonometric equation, it is found that it takes 40 seconds to complete one turn.

The height is modeled by:

[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

The initial height is [tex]h(0) = 15[/tex], hence, one turn is completed when h(t) = 15.

[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

[tex]15 = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

[tex]\cos{\left(\frac{\pi}{20}t\right)} = \frac{15}{15}[/tex]

[tex]\cos{\left(\frac{\pi}{20}t\right)} = 1[/tex]

The length of one turn is of [tex]2\pi[/tex], and [tex]\cos{(2\pi)} = 1[/tex], hence, the solution is found according to:

[tex]\frac{\pi}{20}t = 2\pi[/tex]

[tex]t = \frac{40\pi}{\pi}[/tex]

[tex]t = 40[/tex]

It takes 40 seconds to complete one turn.

You can learn more about trigonometric equations at https://brainly.com/question/24680641

Answer:

D. 40 seconds!! Props to guy above.

B is the midpoint of AC Find AB, BC and AC.

Answers

Step-by-step explanation:

Since B is the midpoint of AC. So,

AB = BC

12x - 12 = 4x + 28

12x - 4x = 28 + 12

8x = 40

x = 40/8

x = 5

Now,

AB = BC = 4(5) + 28

= 20 + 28

= 48 cm

Now

AC = AB + BC

AC = 48 + 48

AC = 96 cm

What is the measure of 2C?
30
30
А
30
O A. 60°
O B. 90°
O C. Cannot be determined
D. 30°

Answers

Answer:

60

Step-by-step explanation:

All sides are equal, so all angles are equal.

All angles equal 60 because 180 ÷ 3 = 60

I hope this helps!!

The mass of Earth is 5.97x10^24 kg and the mass of Moon in 7.35x10^22 kg. What is the total mass? Thank you in advance

Answers

Answer:

Total mass = 5.97 × 1024 kg + 7.35 × 1022 kg. = 604.35 × 1022 kg.

Step-by-step explanation:

Your yard is a mess, and you decide to hire a landscaper. The garden pros charges 50$ consultation fee plus 30$ per hour for the actual work. What is the total cost if your yard takes 5 hour’s to fix up

Answers

Answer:

$200

Step-by-step explanation:

$50 consutation + $150 5 hour fee.

=$200

Help on these two please

Answers

Answer:

21

Step-by-step explanation:

CANT SEE THEM

Plz help I really need help, I’m gonna give brainlist

Answers

Answer:

angle 4 is 47 degrees....

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