What is the twentieth term of the arithmetic sequence described by the
equation an= 3n - 10?

Answers

Answer 1

Answer:

The twentieth term is 50.

Step-by-step explanation:

The equation that describes the arithmetic sequence describes it's "general term", which means that all the numbers in that sequence must follow that equation. For instance, if we want to find the first term of the sequence we must make a = 1 and we have:

a1 = 3*1 - 10

a1 = -7

Therefore to find the twentieth term we need to make n equal to 20. This is done below:

a20 = 3*20 - 10

a20 = 60 - 10

a20 = 50

The twentieth term is 50.


Related Questions

HELP PLEASEEE ASAP!! THIS IS AN EMERGENCY

Answers

Answer:

the answer is c

Step-by-step explanation:

Tia rides her bicycle 9 miles a day for 6 days. Which number sentence can used to find how many miles Tia rides in all?

Answers

Answer:

9 times 6

Step-by-step explanation

Because you multiply 9 times 6 because 9 miles every 6 days

Answer:9x6

Step-by-step explanation:Because it say She does 9 miles a day so you multiply it by 6 to find the total

what is the solution of this system of linear equations? y=2x-3 2x=y-3
a. infinitely many solutions
b. (0, -3)
c. (0,0)
d. no solution

Answers

Answer:

d. no solution

Step-by-step explanation:

y=2x-3

2x=y-3

y=2x+3

Since these are two distinct parallel lines (same slope), they will never meet. Hence, no solution

Answer:

No solution :)

Step-by-step explanation:

What is the area of the triangle?

Answers

Answer: 24

Step-by-step explanation:

Area = 1/2 x base x height

Answer:

24cm²

Step-by-step explanation:

So you do 8×4=48 (a square) then half it (triangle) which becomes 24cm²

Well, a simple way to do it is to do base × height then half it

Solve the equation in the image

Answers

Answer:

X= -4.4

Step-by-step explanation:

SOLVE FOR X. :)

Which number line best shows how to solve - 2 - (- 10) ?

Answers

Answer:

A)

Step-by-step explanation:

As a rule of thumb, two negative signs directly next to each other becomes a positive sign. Simplify:

-2 - (-10) = -2 + 10 = 8

The only number line in which it ends at 8 is A, therefore, A) is your answer.

~

Answer:

the first one

Step-by-step explanation:

-2 - -10 = 8

If PQ is tangent to circle R at point Q and PS is
tangent to ⊙R at point S, what is the perimeter
of quadrilateral PQRS?

Answers

Answer:

Perimeter of the quadrilateral PQRS is 25 units

Step-by-step explanation:

From the figure attached,

PQ is a tangent to the given circle so m∠PQR = 90°

Now we apply Pythagoras theorem in the ΔPQR,

PR² = PQ² + QR²

(PT + TR)²= PQ² + 5²

(4 + 5)² = PQ² + 25

81 = PQ² + 25

PQ = √(81 - 25)

     = √56

     ≈ 7.5 units

PQ ≅ PS ≅ 7.5 units

[Since measures of tangents drawn from a point to a circle are always equal]

Perimeter of PQRS = PQ + QR + RS + PS

                                = 7.5 + 5 + 5 + 7.5

                                = 25 units

Therefore, perimeter of the quadrilateral PQRS is 25 units.

Answer:

10 + 4 square root 14

Step-by-step explanation:

so the person below or above me said 25 units and they are not wrong it just the did have it in a simple equation like this ^

so 4 square root 14 = 14.9 or 15

then 10 + 15 = 25 units

so the correct answer is 10 + 4 square root 14

I ALSO TOOK THE TEST AND IT WAS CORRECT :)

What is the equation of the line passing through the points (-2, 2) and (3,-1)?
A.
5
y=--x+ -
3 3
4
B.
C.
y = x-4
3 4
y=-*+-
5 5
D
y = -3x + 8

Answers

Answer:

Step-by-step explanation:

+ Because of " the line passing through the points (-2, 2) and (3,-1)", that means this line has its equation y = ax + b where

[tex]a=\frac{2-(-1)}{-2-3} =\frac{2+1}{-5} =-\frac{3}{5}[/tex]

So we write its equation: y = -3/5 x + b.

+ Then, now, we replace x = -2 and y = 2 into y = -3/5 x + b for finding b like:

2 = -3/5 * (-2) + b or 2 = 6/5 + b

so b = 2 - 6/5 = 4/5.

And this line has its equation: y = -3/5 x  + 4/5.

Mẹthod 2:

we have a formule for a line that passes 2 points [tex](x_{0},y_{0}) , (x_{1},y_{1}) ,x_{0}\neq x_{1}[/tex]

Here is: [tex]\frac{x-x_{0} }{x_{1}-x_{0} } = \frac{y-y_{0} }{y_{1}-y_{0} }[/tex]

Then, we can write for this case:

[tex]\frac{x-(-2)}{3-(-2)} =\frac{y-2}{-1-2} \\\frac{x+2}{5} =\frac{y-2}{-3} \\-3(x+2) = 5( y-2)\\-3x-6=5y-10\\3x+5y-4=0\\or\\y=-\frac{3}{5}x+\frac{4}{3}[/tex]

P.S: You type wrongly the signs?

The reference angle for an angle whose measure is -440° is _____.



Answers

Answer:

The reference angle is the acute angle formed by the terminal side of an angle in standard position and the x-axis

Step-by-step explanation:

-440° will be in the 1st quadrant

We solve by adding 360° to it till it becomes positive

-440°+360°= -80°

-80°+360°=280°

The equivalent value will become

360°-280°= 80°

Answer:

The reference angle for an angle whose measure is -440° is 80°.

Step-by-step explanation:

The cycles for angles range from the traditional 0° to 360° and subsequent 360° ranges befor and after this traditional intervals, also have the same properties.

So, the ranges that exist and correspond to the traditional 0° to 360° include

0° to 360°

360° to 720°

720° to 1080°

And in the negative direction, we have

-360° to 0°

-720° to -360°

We can see that -440 is in the range of

-720° to -360°

Using the traditional 0° to 360° to compare this range of -720° to -360°, let x represent the reference angle in the traditional range that we require.

-720° ------ 0°

-440° ------ x

-360° ------ 360°

Using interpolation,

[-440° - (-720°)]/[-360° - (-440°)] = (x - 0°)/(360° - x)

(280/80) = x/(360-x)

3.5 = x/(360-x)

3.5(360 - x) = x

1260° - 3.5x = x

4.5x = 1260°

x = (1260°/4.5) = 280°

But, the reference angle is the smallest angle that one can make from the terminal side of an angle (that is, where the angle ends) with the x-axis. It uses the x-axis as its frame of reference.

So, 280° is a fourth quadrant angle, whose equivalent in the first quadrant is 360° - 280° = 80°

Hope this Helps!!!

2 points
Cindy is painting her house. She paints 34 1/2 square feet in 3/4 hour. At
this rate, how many square feet can she paint each hour? *

Answers

Answer:

102 sqaure feet                                                      

Step-by-step explanation:

The sum of all of the interior angles of a triangle sum up to ?

Answers

Answer:

180°

Step-by-step explanation:

It's something worth remembering.

Answer:

180 degrees

Step-by-step explanation:

Finding Distances from the Mean
The mean of the data is 44.7. Complete the chart to find the distances from the mean.
Of
Temp (°F)
2938
45
31
50
58
62
Distance
from the
Mean
15.7
6.7
13.7
y
13.3

Answers

Answer:

x = 0.3, y = 5.3, z = 17.3

Step-by-step explanation:

Since given question is incomplete, so here is the complete table for the distance from the mean.

Temp (°F)                              29      38       45    31      50     58     62    

Distance from the mean    15.7    6.7       x    13.7      y     13.3       z

It's given that the mean of the data is 44.7

Since distance from the mean of a data is the absolute value of the difference of data and mean,

Therefore, distance from the mean of the data will be,

x = |44.7 - 45| = 0.3 (absolute value of the difference)

y = |44.7 - 50| = 5.3

z = |44.7 - 62| = 17.3

Answer:

x =   0.3

y =   5.3

z =   17.3

Step-by-step explanation:

need help with this question it’s a mastery grade!

Answers

I think the answer is that there was an increase plz mark as brainliest
Yes there would be an increase because 25%of 25 is 6 and 10%of 20 is 2. So there is an increase by 4 kids.

what is the median of the lower half of the data 5,8,10,1,7,6,15,8,6

Answers

I’m think it is the median

Answer: 8

Step-by-step explanation:

Order from least to greatest 1,5,6,6,7,8,8,10,15, and then find the number in the middle. The number in the middle is 8

What is the length of AB?

Answers

The answer is 10
Because that’s how far away it is from B

Answer:AB =10

Step-by-step explanation:


Which of the following is equivalent to (4 x 10~?) + (5 x 10–?)?

Answers

What are your options ??

If you have a cube with a side length of ¼, how many cubes can fit into your rectangular prism? Explain.

Answers

Answer:

Step-by-step explanation:

No of cubes that can fit into rectangular prism =   Volume of rectangular prism

                                                                                   Volume of cube

Find the volume of rectangular prism and divide that by the volume of cube

8 cm
6 cm
What’s the area of the triangle? 8 on the side 6 on the bottom?

Answers

Answer:

Multiplication

Step-by-step explanation:

HELP QUICK!! 25 POINTS AND BRAINLIEST!!
What is the area of the shaded sector of the circle?
a. 20
b. 25
c. 100
d. 72

Answers

Answer:

i think its 25 because like if 72 is the shaded part then it can't be the answer 100 wouldn't be the answer because it is too high and 20 wouldn't be the answer because it is too low so 25 is my reasonable answer.

Step-by-step explanation:

Since the area to me is 25 then we would do 360 x 25 = 9000

the you do 9000 / 36 i got 36 by doing 360 / 10

After that you you do 9000 / 36 which gives you 2.5

Last i did 2.5 x 10 which gave me 25

Hope this helpsBrainliest plzhope you get this right

Which shape fits the description below?


A figure with at least one pair of parallel sides.





A. X

B. Z

C. X and Y

D.Y

Answers

Answer:C, X and Y

Step-by-step explanation:

I just took the test

Find the solution of this system of equations
-3x - 5y = -26
X - 5y = -38

Answers

Answer:

the answer would be (-3,7)

Giving Brainliest if Correct!!

What collateral secures a mortgage?

A. 5% of the purchase price of the house

B. the house itself

C. 10% of the purchase price of the house

D. none

Answers

Answer:

c

Step-by-step explanation:

i think it c is it right

Answer:

c

Step-by-step explanation:

mortgages  take 10% of the original selling house price stock

what is 5.75 divided by -0.15?

Answers

Answer:

-38.33333333333333333333333334

-38.3 is the answer

Find the median of the data.

8,8,6,8,4,5,6

Answers

Answer: The median is 6

Step-by-step explanation:

4 5 6 6 8 8 8

4 5 6 6 8 8 8

Hey if I could get some help it would be great
I was asked this on a quiz:
When solving an equation with one variable, it is possible to have what?
A) one solution
B) no solution
C) indefinitely many solutions

Answers

Answer:

One solution

Step-by-step explanation:

Write and solve an inequality, You want to save at least $100. How much do you need to save if you start with $37?

Answers

Answer:

$63 is the answer

Step-by-step explanation:

100-37=63

Put in order rational numbers

Answers

Answer:

[tex]-\frac{26}{40}[/tex]

[tex]-\frac{9}{20}[/tex]

[tex]\frac{12}{25}[/tex]

Step-by-step explanation:

Divide each individually.

[tex]-\frac{9}{20}=-0.45[/tex]

[tex]\frac{12}{25}= 0.48[/tex]

[tex]-\frac{26}{40}=-0.65[/tex]

Since you have to order them from least to greatest, begin by the negative number that is farthest from 0. In this case, -0.65, the next negative number would be -0.45 and finally we only have one positive number 0.48

find the term independent of x in the expansion of x^9(2-1/x^3)^6

(it's also pictured)

Answers

Answer:

20

Step-by-step explanation:

Help please. Im giving 20 points.
In Belleville, the library is due south of the courthouse and due west of the
community swimming pool. If the distance between the library and the courthouse
is 9 miles and the distance between the courthouse and the city pool is 15 miles,
how far is the library from the community pool?

Answers

Answer:

The distance is 144

Step-by-step explanation:

We solve this by using the Pythagorean Theorem.

Using the equation:  a squared + b squared=  c squared.

In this case, 9 squared + b squared = 15 squared.

So 81+b squared = 225

     -81                      -81

b=  144

Will give brainliest answer

Answers

Answer

Step-by-step explanation:

To find the area of a shape multiply its height by its width. For a square  you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

please mark me as brainliest.

Answer:

[tex]7 units^2[/tex]

Step-by-step explanation:

You can split this irregular shape into a square and a trapezoid.

The formula for a square is:

[tex]A=lw[/tex]

The formula for a right trapezoid:

[tex]A=\frac{1}{2} (h)(a+b)[/tex]

Area of square:

[tex]A=(2)(2)\\A=4[/tex]

Area of right trapezoid:

[tex]A=\frac{1}{2} (2)(1+2)\\A=3[/tex]

Add up the individual areas to find the overall:

4 + 3 = 7

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