Write the explicit formula for the
sequence below. Then, find the number
term in the sequence as listed.
140,130,120,110...

Answers

Answer 1

Answer:

[tex]a_n=-10n+150[/tex]

Step-by-step explanation:

This is consider a linear pattern (arithmetic pattern).

We know this because it is either going up or down by the same number each time. It's going down by 10 in this case.

So -10 is the slope of this linear pattern.

The equation for a linear pattern is:

y=mx+b

where x represents the position the term is in

and

where y represents the actual term

and

where m is the slope

So we have y=-10x+b.

(x,y)

(term position in sequence, actual term)

(1,140)

(2,130)

(3,120)

(4,110)

We can find b by using a number with it's position in the sequence (that is plug in one of your points above).

y=-10x+b

140=-10(1)+b

140=-10+b

150=b (after adding 10 on both sides)

The explicit equation for the sequence is y=-10x+150.

They probably prefer you to write: [tex]a_n=-10n+150[/tex] instead.


Related Questions

You notice these two suitcases in the closet. The smaller suitcase is 25 in x 8 in x 9in, and the larger suitcase is 75 in x 20 in x 18in. The bigger suitcase is how many times larger than the smaller suitcase??

Answers

Answer:

15x larger

Step-by-step explanation:

75x20x18=27000

25x8x9=1800

27000/1800=15

Anwser:15x larger

Answer:

15

Step-by-step explanation:

smaller suitcase = 1800in^3

bigger suitcase = 27000in^3

27000 divided by 1800 = 15

Write the equation of the line in fully simplified slope-intercept form.
Y
12
11
10
9
8
7
6
5
4
3
2
1
-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
2 3 4 5 6 7 8 9 10 11 12
-2
-3
-4
-5
-6
-8
-9
-10
-11
-12

Answers

Y=Mx+b

Rise / run between any two points = slope (m)
Where the line crosses the y axis is (yint) (b)

Slope is -1/2
Yint = -8

So the equation is y=(-1/2)x - 8

What is the domain of the function shown in the graph?
A. X <0
B. X < -1
C. -infinity D. X > -1

Answers

A. X <0 I think i not that smart that’s just what I got

Answer:

-infinity < x < Infinity

Step-by-step explanation:

Youre welcome

keep it simple and explain your answer plss and thank you

Answers

Answer:

y=-1/3+4

Step-by-step explanation:

y=mx+b

mx=slope

b=y intercept

Find the sum of the following fractions:
2/8 + 1/3

Answers

Answer:

Step-by-step explanation:

Answer:

7/12. if you find a common denominator for the two, like 24 for example, 2/8 converts to 6/24 and 1/3 converts to 8/24. 6/24+8/24=14/24, and that reduced is 7/12.

Step-by-step explanation:

What type of dilation occurs with a scale factor of 1/4?

Answers

Answer:

Congruent

Step-by-step explanation:

6. A hypothesis test in which rejection of the null hypothesis occurs for values of the point estimator in either tail of the sampling distribution is called _______ Group of answer choices A one-tailed test A two-tailed test The null hypothesis The alternative hypothesis g

Answers

Answer:

A two-tailed test.

Step-by-step explanation:

ANOVA is a short term or an acronym for analysis of variance which was developed by the notable statistician Ronald Fisher. The analysis of variance (ANOVA) is typically a collection of statistical models with their respective estimation procedures used for the analysis of the difference between the group of means found in a sample. Simply stated, ANOVA helps to ensure we have a balanced data by splitting the observed variability of a data set into random and systematic factors.

In Statistics, the random factors doesn't have any significant impact on the data set but the systematic factors does have an influence.

Basically, the analysis of variance (ANOVA) procedure is typically used as a statistical tool to determine whether or not the mean of two or more populations are equal through the use of null hypothesis or a F-test.

Hence, the null hypothesis for an analysis of variance (ANOVA) requires that all treatments or samples should be generated from populations having the same mean.

A hypothesis test in which rejection of the null hypothesis occurs for values of the point estimator in either tail of the sampling distribution is called a two-tailed test.

Solve the equation square root of the quantity x plus 3 plus 4 equals 5 for the variable. Show each step of your solution process

Answers

Answer:

-2

Step-by-step explanation:

x+3+4=5

x+7=5

subtract 7 on both sides

x=-2

Plz help me well mark brainliest if correct

16+17=h+16
h=?
A.16
B.17
c.33
D.47

Answers

Answer:

The answer should be B

Answer:

17

Step-by-step explanation:

2 expressions equal are defined as equivalent expressions

Is -12 greater than -5​

Answers

Answer:

No. it's less than. The bigger the negative number is, the lesser it is.

Solve similar triangles
Solve for x
X=?

Answers

Answer:

x = 5

Step-by-step explanation:

AB/BC = AD/DE

9/3 = 15/x

9x = 45

x = 5

Enya is writing a 500 word essay. So far, she has written 150 words. What percent of her essay has she written so far?

Answers

Answer:

30%

Step-by-step explanation:

150/500 = 0.3

0.3x 100= 30%

Answer:

333.3%

Step-by-step explanation:

HELPP DUEE BY 1pm PACIFIC HELP ASAPP

Answers

I can try and help, 36 = 3 (4.5 + x), whichif you distribue, you get 36 = 13.5 + 3x, and if you solve from there, you get 22.5 = 3x, then your answer, 7.5 = x

Given that the measure of ∠x is 20°, and the measure of ∠y is 30°, find the measure of ∠z.

Answers

Answer:

40°

Step-by-step explanation:

z+90+y+x=180°

z+90+30+40=180°

z=40°

Angle Z would be 40°

The top half of the image is 180° In total and the red square represents 90°,

And since angle X is 20° and angle Y is 30° thats 50° total leaving a total of 40° unknown for the top half making that 40°

Answer: Z=40°

Find the center and radius of the circle with the given equation. Then graph
the circle.
x² + y² = 16

Answers

Answer:

Step-by-step explanation:

Center (0,0)

radius = √16 = 4

For the equation, x² + y² = 16:

(0, 0) is the center and 4 is the radius.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

And the general formula of the circle,

(x – h)²+ (y - k)² = r²,

where (h, k) is the center and r is the radius of the circle.

Given:

An equation of a circle,

x² + y² = 16.

And the general formula of the circle,

(x – h)²+ (y - k)² = r²,

where (h, k) is the center and r is the radius of the circle.

Comparing, we get,

center is (0, 0)

And radius  r² = 16

And r = 4

Therefore, (0, 0) is the center and 4 is the radius.

To learn more about the circle;

https://brainly.com/question/29142813

#SPJ2

(a)write down the first ten square numbers.
(b)which two square numbers give a sum of 80?
(C)which two square number give a different of 11?​

Answers

A) 1, 4, 9, 16, 25, 36, 49, 64, 81, 100
B) 36 + 64 = 80
C) 36 - 25 = 11

The circle has a circumference of 9.42 units. What is the area of the square? Use 3.14 for π. Explain how you found the answer.

Answers

Answer:

7.065 sq. units

Step-by-step explanation:

The circumference is given, thus you can use the equation 2πr = circumference to find out the radius first, r = 1.5.

Area = πr²

∴The required area is 7.065 sq. units

The ratio of male drivers to female drivers with parking passes at Gladstone High School is 5:3. If there are 64 students with parking passes, how many are female?​

Answers

Answer:

24

Step-by-step explanation:

Basically, for every 5 boys there is 3 girls. A simple way to solve this, but longer, yet the one I personally use count up, go 5*2 3*2 and find which one adds up to 64. Once you get to 64, total including the product of both, you will have the amount of boys and girls. In this case

5*8 and 3*8 = 64

3*8 = 24

5*8 = 40

There are 24 girls

Someone help me on this please

Answers

Answer:

b

Step-by-step explanation:

Which statement about the graph of y = }}) * is true?
A)
The graph has a vertical asymptote.
B)
The graph crosses the y-axis at (0,5).

o
The graph has an asymptote at y =
D)
The graph decreases from left to right.

Answers

Answer:

the graph has a vertical asymptote

HELP ME PLEASE I HAVEE 5 MINNS lEft HELP

Answers

Answer:

im going to guess the last answer. theone that i can't see

Step-by-step explanation:

What is the volume of the figure shown below?

Answers

Answer:

31 in

Step-by-step explanation:

Answer:

The volume of the figure shown below is 31 inches

Step-by-step explanation:

Just trust me ;)

Find the measure of < 5.
45 = [?]
<
5
45
51
Enter

Answers

Answer:

m<5 = 129°

Step-by-step explanation:

m<5 + 51° = 180° => same-side interior angles theorem (same-side interior angles are supplementary)

m<5 + 51° - 51° = 180° - 51° => subtraction property of equality

m<5 = 129°

Answer:

solution given:

<5+<51°=180°[co- interior angle]

<5=180°-<51°=129°

<4=129° is your answer

PLZ I NEED HELP ANSWER QUICK

Answers

Theres always 180 degrees in a flat line angle thingy you need answers fast so im not looking up what its called but 180-125=55 and then you 55-1=54 then 54/3=18!!!!!

8.3 is equal to how many hundredths and tenths

Answers

Answer:

3 tenths and 0 hundreths

Step-by-step explanation:

3 is in the tenths place.

So 3 tenths.

There is no value in the hundreths place

So 0 hundreths  

A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 14 cm long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.
_____
The area of the bookmark is_____cm2.

Answers

68.56 or 69 rounded I just multiplied 14cm and 4 for the area of the rectangle and multiplied 4 by pi since the radius was 2 and the exponent was two it equaled four look at the picture if you don’t understand

Answer:

The area of the bookmark is  68.56  cm².

Step-by-step explanation:

Separate the bookmark into simpler shapes as described in the problem: a rectangle and a circle (two semicircles of the same size).

Find the area of the simpler figures.

Rectangle

A = LW

A = 14 · 4

A = 56

The area of the rectangle is 56 cm2.

Circle

A = πr2

A = 3.14(2)2

A = 3.14(4)

A = 12.56

The area of the circle is 12.56 cm2.

Find the area of the bookmark.

A = 56 + 12.56

A = 68.56

The area of the bookmark is 68.56 cm².

2 1/3 years to months

Answers

Answer:

27.99996931510212 months

Rounded to the nearest tenth: 28 months

Step-by-step explanation:

Write two numbers that multiply to the value on top and add to the value on bottom,
-70
3

Answers

Answer:

45

Step-by-step explanation:

45

PLEASE HELP I DONT GET THIS ASAP! IS THIS 21??

Answers

it is 21 you’re right haha

y-4= -2(x-2) find the point on the line

Answers

Answer:

(0,8)

(4,0)

m= -2

____________________________________

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