Check the statements that are true.
A. An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers.
B. A geometric sequence is a linear function whose domain is restricted to the set of non-negative integers.
C. An arithmetic sequence is an exponential function whose domain is restricted to the set of non-negative integers.
D. A geometric sequence is an exponential function whose domain is restricted to the set of non-negative integers.

Answers

Answer 1

Answer:

A and D.

Step-by-step explanation:

A sequence is a set of the objects or numbers in a specific order. It is a function whose domain is a set of natural numbers or non-negative integers i.e. {1, 2, 3,..}

(A)

"An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers."

The general form an arithmetic sequence is:

[tex]a_{n}=a_{1}+(n-1)d[/tex]

The function is linear. The sequence consists of either numbers that are increasing or decreasing based on the value of d, the common difference.

So, the statement provided is True.

(D)

"A geometric sequence is an exponential function whose domain is restricted to the set of non-negative integers."

The general form an geometric sequence is:

[tex]a_{n}=a_{1}\cdot r^{n-1}[/tex]

The function is exponential. The sequence consists of either numbers that are exponentially increasing or decreasing by the factor r, the common ratio.

So, the statement provided is True.


Related Questions

Line t has a slope of 3/5 line u is perpendicular to t what is the slope of line u

Answers

Answer:

[tex]\frac{5}{3}[/tex] is the slope of the line

Step-by-step explanation:

When two lines are perpendicular, their slopes are inverse.

[tex]\frac{3}{5}[/tex] becomes [tex]\frac{5}{3}[/tex] because they are inverse. Just flip the numerator (top number) and denominator(bottom number).

Hope this helps!

!!!TIME LIMIT PLZ HURRY!!!Which describes the relationship between <1 and <2?

Answers

Answer:

adjacent

Step-by-step explanation:

this just means they are next to each other, like they share a ray

Answer:

they are adjacent

Step-by-step explanation:

Adjacent means they are next to each other; and both these angles are right beside each other

which represents 8(95) using the distributive property to simplify

Answers

Answer:

8*90 + 8*9 = 760

Step-by-step explanation:

Because, 8(95) just means 8 times 95 so you just distribute 8 to 90 and 5.

An object is moving at a speed of 6 miles per month. Express this speed in feet per hour.

Answers

Answer:

44 ft/hr

Step-by-step explanation:

First, we convert miles to feet.

6 mi*5280 = 31680 feet

Now we convert a month to hours. For this question, lets say that a month is equal to 30 days.

30*24 hrs = 720 hrs

Now we have this speed -

31680 ft/720 hrs

Now we simplify this to -

44 ft/hr

So in conclusion, the speed of 6 miles per month is equivalent to the speed of 44 feet per hour.

PLEASE HELP,, thank you so much if you do
i’m really confused on how to answer this question could anyone who understands this please help me
i’ll give brainliest

Answers

Answer:

(x)^2+(5)^2=(9)^2

Step-by-step explanation:

(a)^2+(b)^2=(c)^2

(x)^2+(5)^2=(9)^2

x^2+25=81

-25 -25

x^2=56

x=28

p.s. this ^2 means squared

Explain how to use the distributive property to find an expression that is equivalent to 20+16.​

Answers

Step-by-step explanation:

distributive property is a*(b+c) = a*b + a*c

20+16 = 4* (5+4)

Aniya is helping her father paint a fence. She can paint 2 sections of the fence in 15 minutes. How many minutes will it take Aniya to paint 12 sections of the fence.

Answers

Answer:

90 minutes

Step-by-step explanation:

Since 15 divided by 2 is 7.5, it takes 7.5 minutes to paint 1 section. 7.5 times 12 is 90, meaning that is takes 90 minutes for her to paint 12 sections.

Jeffrey thinks that the largest place value that 8.21 and 19.5 have in common is the tens place Austin thinks that the largest place value they have in common is the ones place

Answers

Answer:

Austin is correct.

Step-by-step explanation:

19.5 has a tens, ones, and tenths place. 8.21 has a ones, tenths, and hundredths place.

Answer:

Neither are correct.

Step-by-step explanation:

8.21:

Tens Place - 0

Ones Place - 8

Tenths Place - 2

Hundredths Place - 1

19.5:

Tens Place - 1

Ones Place - 9

Tenths Place - 5

Hundredths Place - 0

None of the places are in common, so neither Jeffery nor Austin is correct.

Match each equation with its solution equation n-13=-12

Answers

Answer:

n=1, :) :P UwU TwT -_-

Answer:

n = 1

Step-by-step explanation:

n-13=-12

n-13-(-12)=0

n-1=0

n=1

The slope of AB is 6/5 if point A is (3,y) and point B is (-2,-1) find the value of y

Answers

If we put these informations in the problem into the equation of slope,

6/5 = y+1 / 2+3

To find y,

y+1 = 6

y = 6-1 = 5

y = 5

what is the value of the Expression below ​

Answers

Your answer is -2 (aka option b that would be)

Write two numbers that when rounded to the greatest place value have an estimated sum of 11,000 and an estimated difference of 3,000. Then find the exact sum and the exact difference. Provide a detailed explanation as to how you reached your answers and why they will work.​

Answers

Answer:

x + y = 10,999.5 (rounded up to 11000)

x - y =  3,000.3 (this would be rounded down to 3000)

Step-by-step explanation:

Assume;

Two numbers are x, y

So,

x + y = 11,000 .......eq1

x - y = 3,000 .........eq2

eq1 + eq2

So,

2x =14,000

x = 7,000

So y = 4,000

For rounding number

x = 6,999.9 (rounded up to 7,000)

y = 3,999.6 (rounded up to 4,000)

Sum;

x + y = 10999.5 (rounded up to 11000)

x - y =  3000.3 (this would be rounded down to 3000)

Helppp me plssss! ASAP

Answers

Answer:

140 ft.

Step-by-step explanation:

first find the area of the rectangle

16 x 8 = 128

Area: 128

then find the area of the triangle

Base: 4

Height: 6

Area: 12

Then all u need to do is add

12 + 128 = 140

help please will mark brainliest ​

Answers

Answer:

step 2

Step-by-step explanation:

sorry if im wrong. Please mark me brainleast  

It’s step 2
Hope this helped ! :)

In order to test for the significance of a regression model involving 5 independent variables and 123 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

Answers

Answer: The numerator and denominator degrees of freedom (respectively) for the critical value of F are 4 and 118 .

Step-by-step explanation:

We know that , for critical value of F, degrees of freedom for numerator = k-1

and for denominator = n-k, where n= Total observations and k = number of independent variables.

Here, Numbers of independent variables(k) = 5

Total observations (n)= 123

So, Degrees of freedom for numerator  = 5-1=4

Degrees of freedom for denominator =123-5= 118

Hence, the numerator and denominator degrees of freedom (respectively) for the critical value of F are 4 and 118 .

A single die is rolled twice. The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6),}. Find the probability of getting two numbers whose sum is less than 10.

Answers

24/36 which simples down to 2/3 ever 2 in 3 roles

The following is the prime factorization of which composite number? 2 to the 2nd power times 3 to the 2nd power times 5

120
60
20
180

Answers

2 to the 2nd power times 3 to the second power times 5

4 X 9 X 5 = 36 X 5 = 180

so the answer is 180


hope this helps

3х3 - 2х2
Simplify if not possible write simplified

Answers

Answer:

[tex] \large{3 \times 3 - 2 \times 2}[/tex]

[tex] \large{9 - 4}[/tex]

[tex] \large{5}[/tex]

what is 2/16 as a decimal

Answers

2/16 as a decimal is 0.125

Please help with question plaaseeee

Answers

Answer:

Yes it is.

Step-by-step explanation:

The graph is proportional because

it is in a straight line in the graph.

Hope this helps! <3

Which expression is equivalent to i233?

Answers

Answer:

radical sign of -233

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have to find the value of the expression i^{233}i

233

We know that the below values.

i

2

=−1

i

4

=1

Hence, in order to find the value of the given expression, we can first rewrite it in terms of i^4i

4

i^{233}=(i^4)^{58}

233

=(i

4

)

58

⋅i

Now, we know that i^4=1i

4

=1

Hence, we have

i^{233}=(1)^{58}

233

=(1)

58

⋅i

i^{233}=

233

=1⋅i

i^{233}=ii

233

=i

pls help meeeeeeeeeeee!!

Answers

Answer:

45 with a remainder of 27.

Step-by-step explanation:

Hope this helps you! Good luck! <3

Sofia is creating a budget to save $120 for a week of soccer camp. She earns money by working as a mother's helper on Saturday mornings and Wednesday afternoons. She earns $20 each time she works. She wants to save $7.50 a week for the camp. Her mother wants her to save $5 a week for college. She is planning on spending $5 a week for snacks and $5 a week for entertainment.

Answers

Answer:

18 weeks

Step-by-step explanation:im gay

The cost of making a phone is $152. A store sells the phone for $281.20 select all the the expressions that could be used to find the percentage of markup for the ohone

Answers

Answer:

[tex]\frac{100 * (281.20 - 152)}{152}[/tex][tex](\frac{281.20}{152}-1 ) * 100[/tex]

Step-by-step explanation:

The above two expressions can be used to find the percentage of mark-up for the phone.

The first expression for instance will give;

[tex]= \frac{100 * (281.20 - 152)}{152}\\\\= \frac{12,920}{152}\\\\= 85[/tex]

= 85%

The second expression will give;

[tex]= (\frac{281.20}{152}-1 ) * 100\\\\= 0.85 * 100\\\\= 85[/tex]

= 85%

Both of them will show that an 85% mark-up has been added to the cost of the phone.


What is the least common denominator of 2/3, 1/6 and 11/12

Answers

Answer:

2/3 = 8/12

1/6 = 2/12

11/12 = 11/12

Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to be a preference for a peanut butter-oatmeal mixture by the meadow voles vs apple slices are usually used in traps, where the common voles seem to prefer the appe slices. So he conducted a study where he used a peanut butten oatmeal mixture in half the traps and the normal apple slices in his remaining traps to see if there was a food preference between the two different votes
Indicate which of the following is the null hypothesis, and which is the alternate hypothesis
a. There food preferences among vole species are independent of one another.
b. There is a relationship between voles and food preference.
c. To test for independence, we need to calculate the Chi-square statistic.
These are the data that Dr. Pagels collected
meadow voles common voles
apple slices 15 21
peanut butter-oatmeal 25 16

Answers

Answer:

The food preferences among vole species are independent of one another.

Step-by-step explanation:

The hypothesis can be defined as follows:

H₀: The food preferences among vole species are independent of one another.

Hₐ: There is a relationship between voles and food preference.

The data provided is:

                                           meadow voles            common voles

                 apple slices                15                                   21

peanut butter-oatmeal               25                                    16

A Chi-square test for the Goodness of fit will be used.

The expected values are computed using the formula:

[tex]E_{i}=\frac{\text{ith Row Total}\times \text{jth Column Total}}{N}[/tex]

Consider the Excel sheet attached.

The Chi-square statistic value is 2.861.

Compute the degrees of freedom as follows:

df = (r - 1)(c - 1)

   = (2 - 1)(2 - 1)

   = 1

Compute the p-value as follows:

[tex]p-value=P(\chi^{2}_{(1)}>2.861)=\text{CHISQ.DIST.RT(2.861,1)}=0.091[/tex]

The p-value = 0.091 > α = 0.05

The null hypothesis will not be rejected.

Thus, it can be concluded that the food preferences among vole species are independent of one another.

Write an equation in point-slope form for the line that is parallel to y = 3/4x -
3 and passes through point (4,3).

Answers

Answer:

The point-slope form of the equation of the parallel line is y - 3 =  [tex]\frac{3}{4}[/tex] (x - 4)

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercepts

The slope-intercept form of the linear equation is y = m x + b, where

m is the slopeb is the y-intercept

The point-slope form is of the linear equation is y - y1 = m(x - x1), where

m is the slope(x1, y1) are the coordinates of a point lies on the line

∵ The equation of the given line is y = [tex]\frac{3}{4}[/tex] x - 3

→ Compare it with the first form of the equation above

∴ m =  [tex]\frac{3}{4}[/tex]

∴ The slope of it is  [tex]\frac{3}{4}[/tex]

∵ Parallel lines have the same slopes

∴ The slope of the parallel line is  [tex]\frac{3}{4}[/tex]

∵ The point-slope form is y - y1 = m(x - x1)

→ Substitute the value of the slope in the form of the equation above

∴ y - y1 =  [tex]\frac{3}{4}[/tex] (x - x1)

∵ The line passes through the point (4, 3)

∴ x1 = 4 and y1 = 3

→ Substitute them in the equation above

∴ y - 3 =  [tex]\frac{3}{4}[/tex] (x - 4)

The point-slope form of the equation of the parallel line is

    y - 3 =  [tex]\frac{3}{4}[/tex] (x - 4)

what is the value of x,if x=9-9/4​

Answers

Answer:

X=6 3/4

Step-by-step explanation:

IF X=9-9/4(X=9-2 1/4) THEN X=6 3/4. HOPE THIS HELPS

Bill and Jerry are both taking their hot-air balloons to the balloon show.
They are good friends and like to share experiences. The especially like that when
they get to fly their balloons next to each other. Unfortunately they did not get
cleared to depart at the same time. Bill got to go up first and had already started
to descend by the time that Jerry was cleared. Five seconds before Jerry takes
off Bill’s balloon basket was 1032 feet above the ground falling at a constant rate.
Five seconds after Jerry takes off Bill’s basket was 985 feet above the ground
and Jerry’s balloon basket was 57 feet off the ground and rising at the same
constant rate the whole time. To the nearest tenth of a second, how long after
Jerry’s balloon took off will the height of the two balloon baskets be the same
height?

Answers

9514 1404 393

Answer:

  62.6 seconds

Step-by-step explanation:

We can use the 2-point form of the equation for a line to write equations for the heights of the balloons.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

__

For Bill's balloon, the two given points are ...

  (t, h) = (-5, 1032) and (5, 985)

Then the equation is ...

  h = (985 -1032)/(5 -(-5))(t -(-5)) +1032

  h = -47/10(t +5) +1032

__

For Jerry's balloon, the two given points are ...

  (t, h) = (0, 0) and (5, 57)

Then the equation is ...

  h = (57-0)/(5-0)(t -0) +0

  h = (57/5)t

__

The heights are equal when ...

  -47/10(t +5) +1032 = (57/5)t

  1008.5 = t(57/5 +47/10) = 16.1t

Then the time until heights are the same is ...

  t = 1008.5/16.1 ≈ 62.6 . . . seconds

**100** The given data represent the total compensation for 10 randomly selected CEOs and their​ company's stock performance in 2009. Analysis of this data reveals a correlation coefficient of r = 0.1887. What would be the predicted stock return for a company whose CEO made​ $15 million? What would be the predicted stock return for a company whose CEO made​ $25 million?

Answers

Answer:

Your answer is: Look Below

Step-by-step explanation:

Hope this helped : )

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