What is the nineteenth term of an arithmetic sequence with first term 9 and common difference 5?

Answers

Answer 1

Answer:

a₁₉ = 99

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = 5 , then

a₁₉ = 9 + (18 × 5) = 9 + 90 = 99

Answer 2

The nineteenth term of arithmetic c sequence with first term 9 and common difference 5 is 99.

What is Arithmetic progression?

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

Natural number = 1,2,3,4,5,6,7,8...

Now it has the same difference between any two consecutive terms d =2-1 = 3-2

Given an AP series

First term(a) = 9

Common difference (d) = 5

The nth term is given by

⇒ a + (n - 1)d

So,

19th term = 9 + (19-1)5

⇒ 99

Hence "The nineteenth term of arithmetic c sequence with first term 9 and common difference 5 is 99".

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Related Questions

What is the slope of the line shown below?
10+
5
(9, 1)
o A. -
OB.
OC
10
15
(-3,-7) 5
10
O
D.
WIN

Answers

Answer:

D 2/3

Step-by-step explanation:

Rise over run. The x values is -3 and 9 which is the distance or run between the dots. Find the distance by finding which number is between then so -3+x=9 where x is 12. The y values are -7 and 1. Find y where -7+y=1 where y is 8. That is the rise. So the rise is 8 and that is over the run, 12, gives you 8/12 which can be simplified to 2/3.

For a school project , Gina measures the height of her 11 friends in centimeters. Girls 125 132 128 135 131 Boys 135 130 126 129 120 129 The five girls stand in a line from shortest to tallest. What is the height of a girl in the middle of the line?

Answers

Answer:

i think the answer is 126cm

It would be 131. It’s asking for the middle height of all the girls. In order: 125, 128, 131, 132, 135

calculate interior angle of a regular 15 sided polygon​

Answers

Answer:

156°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 15 , then

sum = 180° × 13 = 2340°

interior angle = [tex]\frac{sum}{n}[/tex] = [tex]\frac{2340}{15}[/tex] = 156°

PLZ HELP!!!
Find the range of the following piecewise function.

Answers

Answer:

B

Step-by-step explanation:

the answer is B because, our range starts at 2 but does not include 2 and continues to infinity (x>8) does not have a boundary.

Please help me!!! I'm being timed

Answers

Answer:

search it in internet.hope you'll find the answer

The sine of angle θ is 0.3.

What is cos(θ)? Explain how you know.

Answers

Answer:

cos(θ) = -0.95

Step-by-step explanation:

Remember the relation:

sin(θ)^2 + cos(θ)^2 = 1

So if we have:

sin(θ) = 0.3

we can replace that in the above equation to get:

0.3^2 + cos(θ)^2 = 1

now we can solve this for cos(θ)

cos(θ)^2 = 1 - 0.3^2 = 0.91

cos(θ) = ±√0.91

cos(θ) = ± 0.95

Now, yo can see that there are two solutions, which one is the correct one?

Well, you can see that the endpoint of the segment that defines θ is on the second quadrant.

cos(x) is negative if the endpoint of the segment that defines the angle is on the second or third quadrant.

Then we can conclude that in this case, the correct solution is the negative one.

cos(θ) = -0.95

On a piece of paper, graph y+ 2[tex]\leq[/tex] 1/4 x-1. Then determine which answer choice matches the graph you drew.

Answers

Answer:

Graph A

Step-by-step explanation:

What is the slope of the line with these points (5, -3) (6, -1) (7, 1)

Answers

Answer:

4/2

Step-by-step explanation:

Rise/Run

4/2

Answer:

2

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - (-3) / 6 - 5

= 2/1

= 2

you've been given 500 for your fencing

Answers

Answer: ok?

Step-by-step explanation:

this question is incomplete

Hello :) how to do this?

Answers

Answer:

Please see the attached pictures for the full solution.

[tex]\boxed{ \frac{d}{dx} ( {x}^{n} ) = n {x}^{n - 1} }[/tex]

Hii, please help me with this question I keep getting an option that isn't there.

A cylindrical piece of iron pipe is shown below. The wall of the pipe is 1.25 inch thick:
The figure shows a cylinder of height 16 inches and diameter 6 inches.
What is the approximate inside volume of the pipe?

a. 88 cubic inches
b. 49 cubic inches
c. 142 cubic inches
d. 154 cubic inches

Answers

The volume of this pipe considering the thickness of the pipe is 154 cubic inches.

How do you calculate the volume of the pipe?

The general formula to calculate the volume of a cylindric object such as a pipe is:

V = πd^2h/4

In this formula, d represents the diameter and h represents the height.

What is the diameter?

The external diameter is 6 inches; however, the pipe is 1.25 inches thick, which implies the real internal diameter is 3.5.

6 inches - 2.5 (1.25 x 2) = 3.5

Now, let's calculate the volume:

V = πd^2h/4V= π (12.25 x 16)/4V= π (196)/4V= 615.713 / 4 = 153.93 which can be rounded as 154 cubic inches.

Learn more about cylindric in: https://brainly.com/question/14965384

Answer:

D. 154 cubic inches

Step-by-step explanation:

If each month in a year was paired with all the possible numbers of days in the month will the result be a function? Explain

Answers

Using the function concept, it is found that the result would not be a function, as for each month, there would be multiple possible number of days.

What is the condition for a relation to represent a function?

In a function, one value of the input can be related to only one value of the output.

In this problem, the input is the month and the output is the possible number of days in the month.

Since there is a month with either 28 or 29 days, and the other months have either 30 or 31 days, the are multiple outputs for each input, hence, the result is not a function.

You can learn more about the function concept at https://brainly.com/question/12463448

could you pls teach me this question ​

Answers

Answer:

if it's area the area would be the length of the diameter of the semi circle which is the height of the triangle multiplied by the base of the triangle to find the area of the triangle then to find the area of the circle would be pie multiplied by the diameter divided by two squared

[tex]\pi \ \times 7 {}^{2} [/tex]

then the total area would be the area of the triangle plus the area of the half circle

The solution to an inequality is graphed on the number
line.
What is another way to represent this solution set?
C OF
O {xx <4.5)
O {x| 4.5}
{x | x > 4.5)
O {x|x 2 4.5}
-5
0
1
2
3
4 5
Save and Exit
Next
SUOMI
Mark this and return

Answers

Answer is -5 because of a new internet connection with the park in the park lol lol that’s fine with us too lol I can’t wait to get it out of the park now lol that’s fine I’ll wait till tomorrow after I get off my work so

From the given number line, we have inequality as {x|x≤4.5}. Therefore, option B is the correct answer.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Inequalities on a number line allow us to visualize the values that are represented by an inequality. To represent inequalities on a number line we show the range of numbers by drawing a straight line and indicating the end points with either an open circle or a closed circle.

From the given number line, we have inequality as {x|x≤4.5}

Therefore, option B is the correct answer.

To learn more about the inequalities visit:

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use trigonometry to find the unknown side (round to 1 decimal)​

Answers

Answer:

a = 7.5

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{15}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2a = 15 ( divide both sides by 2 )

a = 7.5

Need some help! I don’t get it at all!

Answers

Answer:

Min = -16; max = 0

Step-by-step explanation:

I plotted the inequalities for the constraints (see pic).

Sub in the coordinates of the vertices into the optimisation equation.

z = -(-4) + 5(-4) = -16

z = 0

z = -3 + 5(-1) = -8

Therefore, the max value of z is 0, and the min value is -16

I
7. The total cost to rent a truck is $100 and $0.20 per km.
a. Determine an algebraic model for the relationship between total cost and distance driven. Use C to
represent total cost (S) to rent the truck and d to represent distance driven (km).

Answers

Answer:

C= 100+ d*0.2

Step-by-step explanation:

Give data

Cost of rental = $100

Cost per km= $0.2

Total cost= C

Distance= d

Let us model the expression

Hence the expression is given as

C= 100+ d*0.2

martin is filling his bathtub, but he left the drain partially open. martin knows that it takes 8 minutes to fill his 40 gallon tub. the equation v = 2.5t represents the volume, v , of water that drains out of the tub in t minutes. if martin leaves the water on, will the tub ever overflow ?

please someone help ​​

Answers

Answer:

Yes, it will overflow after 16 minutes..

Step-by-step explanation:

The tub fills at a rate of 5 gallons every minute, but it drains at a rate of 2.5 gallons every minute. This means that it fills twice as fast as it drains, so it would take 16 minutes for the tub to overflow. If you subtract the rate of draining from the rate of filling then the net rate of water going up is 2.5 gallons a minute.

Write an
equation
in slope y-intercept form B(-4,-3),m =Undefined

Answers

Answer:

x=-3

Step-by-step explanation:

Guys please help me with this question

Answers

Answer:

Step-by-step explanation:

[tex]\frac{g}{f} (x)=\frac{g(x)}{f(x)} \\=\frac{3x^2+x}{4x} \\=\frac{x(3x+1)}{4x} \\=\frac{3x+1}{4}[/tex]

Solve -x/3 >_ 5
A. X>_15

B. X<_15
C. x <_ 15

D. x >_15

Answers

Answer:

x ≤ -15

Step-by-step explanation:

-x/3 ≥ 5

or, -x ≥ 15

or, x≤ -15

Answered by GAUTHMATH

If a sequence of 8 consecutive odd integers with increasing values has 9 as its seventh term. What is the sum of the terms of the sequence?​

Answers

Answer:

[tex]Sum = 32[/tex]

Step-by-step explanation:

Given

Sequence = Consecutive Odds

[tex]T_7 = 9[/tex]

Required

The sum of the terms

A sequence of odd number has a difference of 2. So, the sequence is represented as:

[tex]S = \{-3,-1,1,3,5,7,9,11\}[/tex]

Add up all terms in the sequence

[tex]Sum = -3-1+1+3+5+7+9+11[/tex]

[tex]Sum = 32[/tex]

ILL GIVE A BRAINLISTYY HELP PLS

Answers

Answer:

?

Step-by-step explanation:

Please help me solve this short problem

Answers

Answer:

y =(x-9)^2 +2

Step-by-step explanation:

The vertex form of a quadratic is

y = a(x-h)^2 +k  where (h,k) is the vertex and a is a constant

y = a(x-9)^2 +2

We can choose a if not given another point so I choose a = 1

y =(x-9)^2 +2

Find "k" if a force of 10 Newtons produces an extension of 5 cm.

Answers

K = 5n/m

F=KE

K= F/E

= 10/5

K = 5n/m

please help!!!
What is the volume of this regular prism?
48.55 cubic inches
55.8 cubic inches
9.7 cubic inches
24.28 cubic inches

Answers

Answer:

V = 24.28 in ^3

Step-by-step explanation:

The area of the base is

A =5/2 × s × a  where s is the side length and a is the apothem

A = 5/2 ( 2.13) * .87

A = 4.63275

The volume is

V = Bh  where B is the area of the base and h is the height

V = 4.63275 ( 5.24)

V =24.27561 in^3

Rounding to the  hundredth

V = 24.28 in ^3

MY HOMEWORK IS DUE SOON!!! PLEASE HELP

Answers

Answer:

7.07143

Step-by-step explanation:

Diameter: 18

Angle: 45

Radius: 9

A spherical ball has a radius of 4 inches. What is the volume of this sphere, to the
nearest cubic inch.

Answers

Answer:

V = 267.9 in^3

Step-by-step explanation:

V = 4/3 * (pi) * r^3

V = 4/3 * 3.14 * 4^3

V = 4/3 * 3.14 * 64

V = 256/3 * 3.14

V = 803.84/3

I will be marking brainliest please help me with these questions.

Answers

Answer/Step-by-step explanation:

1. To find the area of the shaded region, you'd find the area of the white rectangular shape, next, find the area of the whole triangular shape, then find the difference of their areas to get the area of the shaded region. Thus, the formula to use would be:

Area of shaded region = area of triangle - area of rectangle

Area of shaded region = ½*base*height - length*width

1. a. Volume of triangular prism = area of triangular base * height of prism

Volume of triangular prism = ½bh * H

Where,

b = 6 m

h = 4 m

H = 8 m

Substitute

Volume of prism = ½*6*4*8

Volume of prism = 96 m³

b. Volume of sphere = ⁴/3πr³

Where,

r = 9 cm

Substitute

Volume = ⁴/3*π*9³

Volume = ⁴/3*π*729

Volume ≈ 3,053.6 cm³ (nearest tenth)

2. Use Pythagorean theorem to find the height of the cone

radius of the cone (r) = ½(16) = 8 cm

Slant height (l) = 11 cm

height (h) = ?

Using Pythagorean theorem, we have:

h = √(l² - r²)

Substitute

h = √(11² - 8²)

h = √(57)

h ≈ 7.5 cm (nearest tenth)

b. Volume of the cone = ⅓πr²h

where,

r = 8 cm

h = 7.5 cm

Volume = ⅓*π*8²*7.5

Volume = 502.7 cm³ (nearest tenth)

If two sides of a triangle have lengths 4 and 9, then the length of the third side may be any number

Answers

Answer:

should I fild the length of third side in this question ?

Answer:

If this question was a true or false, the answer is false. Otherwise, any number greater than 5 but less than 13.

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