Consider the following sequence: -5, -1, 3,...
a. Is this sequence a arithmetic or geometric? How can you tell?

b. Is 119 a term in this sequence? If so, what term is it? If not, why not? Explain completely.​

Answers

Answer 1

Answer:

a. it is arithmentic - this is because for each term there is a constant increase of 4, and the change between each term doesn't change

b. you need to find the nth term, by using the equation difference x n + 0th term: the difference is (+)4 and the 0th term is -9 (-5 is the 1st term, so to go one back we subtract 4 - the inverse operation), so the nth term is 4n -9. Now we do the inverse operation on 119 to see if it's a term (it is a term if it's an integer. So, first we do 119 plus 9 (inverse of - 9) to get 128, then divide it by 4 rather than multiplying. This gives us 32, and that tells us that 119 is the 32nd term of the sequence.


Related Questions

Which of the following could be the first step in solving the equation below ? 5 ^ x = 21

Answers

Answer:

D

Step-by-step explanation:

usually when your variable is an exponent you always take the log of both sides.

The possible first step of solving the equation is log 5^x = log 21

How to determine the first step?

The equation is given as:

5^x = 21

Take the logarithm of both sides of the equation

log 5^x = log 21

The above represents the possible first step of solving the equation

Hence, the possible first step of solving the equation is log 5^x = log 21

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Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 1.55 ⋅ 107 seconds? (5 points)

Part B: Which is the more reasonable measurement of the diameter of a human hair:
1.8 ⋅ 10−2 mm or 1.8 ⋅ 102 mm? Justify your answer. (5 points)


Please Explain.

Answers

Part A: The amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s  is 6.045 × 10⁴⁰ ergs.

Since the sun produces 3.9 × 10³³ ergs of radiant energy per second, which is  a rate, r = 3.9 × 10³³ ergs/s.

We require the amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s.

So, this heat Q = rate × time

Q = rt

Substituting the values of r and t into the equation, we have

Q = 3.9 × 10³³ ergs/s × 1.55 × 10⁷ s

Q = 6.045 × 10³³ × 10⁷ ergs

Q = 6.045 × 10⁴⁰ ergs

So, the amount of ergs of radiant energy, Q produced in time t = 1.55 × 10⁷ s  is 6.045 × 10⁴⁰ ergs.

Part B: The measurement of the diameter of human hair 1.8 × 10⁻² mm is more reasonable.

Since 1.8 × 10⁻² mm = 1.8  × 10⁻² mm  ×  1cm/10 mm = 1.8  × 10⁻³ cm (since 10 mm = 1 cm) and

1.8 × 10² mm = 1.8 × 10² mm × 1 cm/10 mm = 1.8 × 10 cm = 18 cm (since 10 mm = 1 cm)

Since the human hair is small and its diameter of human hair cannot be 18 cm since 18 cm is a large diameter, then the diameter of the human hair has to be 1.8  × 10⁻³ cm = 1.8  × 10⁻² mm which is a small value.

So, measurement of the diameter of human hair 1.8 × 10⁻² mm  is more reasonable.

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Answer:

WAS THE OTHER ANSWER CORRECT????

Step-by-step explanation:

Find the first three terms of the arithmetic series described.


n=15, a_n=4/5, S_n=45

Answers

Answer:

Step-by-step explanation:

[tex]x^{2} -11x=-28[/tex]

Answers

Answer:

x = 4, 7

Step-by-step explanation:

We start off with the equation [tex]x^{2} -11x = -28[/tex]. from there, we can add 28 to both sides to get [tex]x^{2} -11x+28 = 0[/tex]. From there, we have to factor the equation. In order to factor it, we have to ask ourselves what 2 numbers would add up to -11 and multiply to 28? In this case, the answer would be -7 and -4. So, we get the equation (x-7)(x-4) = 0. Then, we set each part of the equation = 0 to get the anwsers x = 4 and 7. Hope this helps!

Answer:

x= 7

x= 4

Step-by-step explanation:

Move terms to the left side

2−11=−28

x^{2}-11x=-28x2−11x=−28

2−11−(−28)=0

Use the sum-product pattern

Identify a, b, and c in your equation and then find two numbers that when multiplied together equal c and when added together equal b.

2−11+28=0

Factor

Write your equation in factored form

(−7)(−4)=0

Create two separate equations

Set each factor equal to zero

−7=0

x-7=0x−7=0

−4=0

Solve

Rearrange and isolate the variable to find each solution

=7

x=7x=7

=4

Solution

=7=4

HELP ANSWER QUICKLY! the one selected is wrong.

Answers

Answer:

±2 sqrt(2) / 3

Step-by-step explanation:

cos theta = adj / hyp

cos theta = 1/3

Using the Pythagorean theorem

a^2 + b^2 = c^2

opp ^2 + adj ^2 = hyp ^2

opp ^2 + 1 ^2 = 3^2

opp ^2 +1 = 9

opp ^2 = 9-1

opp ^2 = 8

Taking the square root of each side

opp = ± sqrt(8)

opp = ±2 sqrt(2)

sin theta = opp / hyp

               = ±2 sqrt(2) / 3

2. A regular work week is 40 hours. Overtime pay is time and one-half (T+). [10 Marks]a) Amukoshi drives a truck for N$16,50 an hour. If he works 52 hours, what would his gross earnings be for one week?

Answers

find overtime hours:

52-40 = 12

Multiply regular hours by rate:

40 x 16.50 = 660

Multiply rate by 1.5 x overtime hours:

16.50 x 1.5 x 12 = 297

Total = 660 + 297 = 957

Total = $957

HELP QUICK PLEASE!!

Which postulate, if any, could be used to prove the triangles are cong
Side-Angle-Side (SAS)
Side-Angle-Angle (SAA)
Angle-Angle-Side (AAS)
These triangles cannot be proved congruent.

Answers

Answer:     They cant actually be proven to be congruent

Step-by-step explanation:    this is because each triangle only shows an angle (The half circle) and a side (The little tick/line on the side of the triangle). Please make sure to give me the brainliest answer!

Select the relationship that does represent a function.

Answers

Answer:

c

Step-by-step explanation:

If f(x)= 2x^2+1, what is f(x) when x=3

Answers

Hey there!

f(x) = 2x^2 + 1

y = 2x^2 + 1

y = 2(3)^2 + 1

3^2

= 3 * 3

= 9

y = 2(9) + 1

2(9) = 18

y = 18 + 1

y = 19

Answer: y = 19

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The answer is:

f(3) = 19

Work/explanation:

To evaluate the function, I plug in 3 for "x" :

[tex]\rm{f(x)=2x^2+1}[/tex]

[tex]\rm{f(3)=2(3)^2+1}[/tex]

Then, I square 3:

[tex]\rm{f(3)=2\times9+1}[/tex]

Take caution here; we do not add 9 + 1, we multiply 2 times 9 first, and only then, we add 1.

[tex]\rm{f(3)=18+1}[/tex]

[tex]\rm{f(3)=19}[/tex]

Hence, the answer is f(3) = 19.

Which of the following is equal to
square root symbol 9•4


Answers

Answer:

sqrt(9) sqrt(4)

Step-by-step explanation:

sqrt(9*4)

We know that sqrt(a*b) = sqrt(a) sqrt(b)

sqrt(9) sqrt(4)

Answer:

The answer would be B

Step-by-step explanation:


A ladder leans against the side of a house. The angle of elevation of the ladder is 68° when the bottom of the ladder is 12 ft from the
side of the house. Find the length of the ladder. Round your answer to the nearest tenth.

Answers

Answer:

open degrees

Step-by-step explanation:

because I am added all the numbers so it comes

I can't understand that question

Use a double-angle or half-angle identity to find the exact value of each expression?

Answers

If 0 < θ < π/2, then 0 < θ/2 < π/4, and for such angles we expect sin(θ/2) to be positive. Also, we know both sin(θ) and cos(θ) will be positive.

Given that tan(θ) = 2, we can find sec(θ) from the Pythagorean identity:

tan²(θ) + 1 = sec²(θ)   ==>   sec(θ) = √(tan²(θ) + 1)

…   ==>   cos(θ) = 1/√(tan²(θ) + 1)

…   ==>   cos(θ) = 1/√5

Now, recall the half-angle identity for sine:

sin²(θ/2) = (1 - cos(θ))/2

==>   sin(θ/2) = √[(1 - cos(θ))/2]

==>   sin(θ/2) = √[(1 - 1/√5)/2]

==>   sin(θ/2) = √[(√5 - 1)/(2√5)]

==>   sin(θ/2) = √[(5 - √5)/10]

Can someone help me with this math homework please!

Answers

Answer:

The graph for a member's yearly cost for total game tokens purchased would have a y-intercept of (0, 60). However, the nonmember's yearly cost would have a different y-intercept of (0,0). This is because the member's yearly cost has a yearly initial fee of $60, while as the nonmember yearly cost doesn't include an inital fee. Also, the graph for the nonmember's yearly cost would be steeper than the member's graph because the slope 1/5 is greater than 1/10.

Hope this helps (●'◡'●)

The fractions 1/10 and 1/5 convert to 0.1 and 0.2 respectively.

So the equations y = (1/10)x+60 and y = (1/5)x are the same as y = 0.1x+60 and y = 0.2x in that order.

We see that the nonmember cost graph is steeper since the slope 0.2 is larger than 0.1; the further we move away from 0, the steeper the slope. A steeper slope means that you pay more per token. This is the unit cost.

Specifically, you would pay 0.20-0.10 = 0.10 more dollars per token if you are a nonmember compared to if you are a member.

---------------------------

Also, notice that the y intercepts of y = 0.1x+60 and y = 0.2x are 60 and 0 in that order. The members pay an up front fee of $60 before they can buy any tokens. Nonmembers don't have to pay an upfront cost.

Visually, the graph for the members will be much higher up compared to the nonmembers graph. Both lines are increasing, but the members graph is increasing less overall. At some point, the two lines intersect. After this point, it makes more sense to be a member.

PLEASE ANSWERRRRR UR SO COOL IF YOU DOOOO PLSSSS

Answers

Answer:

3x-7y and -7y+ 3x

Step-by-step explanation:

3x +  (-7y) = (-7y) + 3x

Answer:

Step-by-step explanation:

The first set of expressions are equivalent; they are identical except for order of the terms.

Solve The Equation Below

Answers

Answer:

16

Step-by-step explanation:

10 + sqrt(y) = 14

Subtract 10 from each side

10 -10+ sqrt(y) = 14-10

sqrt(y) = 4

Square each side

(sqrt(y)) ^2 = 4^2

y = 16

Hello!

[tex]10 + \sqrt{y} = 14 \\ \sqrt{y} = 14 - 10 \\ \sqrt{y} = 4 \\ y = 16[/tex]

A is the answer.

Good studies!

What is the volume of the cylinder below?
A. 196pi units3
B. 784pi units3
C. 98pi units 3
D. 112pi units 3

Answers

Answer:

196π units^3

Step-by-step explanation:

The volume of a cylinder is:

πr^2h

SINCE, there is no given pi, the formula will be:

r^2h

Use the formula on the given dimensions:

r^2h

= (7^2) 4

= (49) 4

= 196

So we could just leave the final answer as:

196π

The real volume will be solved once π is given.

I hope I helped!

The volume of the cylinder given is 196 π, Option  A is correct.

The volume of the cylinder is given by V=πr²h

Where r is radius of cylinder and h is the height of the cylinder.

V is the volume

r=7

h=4

Now plug in these values in volume formula.

V=π(7)².4

=π.49.4

V=196π

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Please help me on this one really need it

Answers

The answer is A for that

ANSWER QUICKLY PLEASE AND THANKYOU!
Find the equation of the line for each situation.
1) a line passing through the point (3, 4) and having a slope of -2
2) a line passing through the points (1, -1) and (9, 3)
I'll mark your answer as the brainiest idc I'm just stumped

Answers

1. Since we have a slope, and only one point we can use point slope form. Point slope form is y - y1 = m(x-x1). We will replace the y1 and x1 with our coordinates. Additionally, we will replace m with -2. y - 4 = -2(x-3). If you wish to solve this, we need to first distribute. y - 4 = -2x+ 6. Then, we can add 4 which will give us 10. y = -2x + 10.
2. We just need to find the slope here. To find the slope, you can use the formula y2 - y1 / x2 - x1. 3 - (-1) / 9 - 1 gives us 4/8 or 1/2. Plot the points you’re given, and then use the slope to plot more points so you can create your line.

need help asap pleaseeeeeeeeeeeeeeeeeeeeeeeeeee
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

9514 1404 393

Answer:

  4a. 177

  4b. 248

  5a. 27

  5b. 9

  5c. 12

Step-by-step explanation:

4.

a) x is 3/4 of 1/2 of all, so is 3/8 of all.

  x = 3/8·472

  x = 177

b) x is 2/5 of 2/3 of all, so is 4/15 of all.

  x = 4/15·930

  x = 248

__

5.

Elaine gave her grandmother 3/4 of 48 = (3/4)(48) = 36 of the flowers. Then Elaine had 48 -36 = 12 flowers left.

Her grandmother gave 1/4 of 36 flowers = (1/4)(36) = 9 of the flowers to her neighbor. Elaine's grandmother has 36 -9 = 27 flowers now.

Elaine's grandmother has 27 flowersthe neighbor has 9 flowersElaine has 12 flowers

Since a sample data shows that a linear correlation coefficient between two variables is about 0.08, then it rules out a possible causal relationship between the two variables.

Answers

Answer:

False

Explanation:

A linear correlation coefficient is used to measure the the level of relationship between two seemingly dependent and independent variables. A relationship exists between two variables in linear correlation if one affects the other, either negatively or positively never zero. If linear correlation has a negative value then one variable increases while the other decreases. If linear correlation coefficient is positive then both variables increase together. If zero then there is no relationship as one variable's increase or decrease has nothing to do with the other. In the case above, correlation is positive at 0.08 hence we can say that there is a relationship between the two variables.

Ronald's home is located 33 miles west and 56 miles north from his hotel. Find the distance from his hotel to his home.

Answers

89 miles if you add it up

The distance from his hotel to his home is 89 miles.

What is the distance?Distance is defined as an object's entire movement without regard for direction. The distance can be defined as how much ground an object has covered regardless of its starting or ending place.The quantity of space between two things, or the state of being far apart, is defined as distance. A five-foot gap between two tables is an example of distance. The disparity between two sides of an issue is an example of distance.Solution -

Given - Ronald's home is located 33 miles west and 56 miles north of his hotel.

To find the distance between Ronald's hotel to his home, add the distance.

∴ [tex]33 + 56 = 89[/tex]

Therefore, the distance from his hotel to his home is 89 miles.

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Find the slope of the line passing through the points D (10, 8) and E (-4,4)

Answers

Answer:

Slope=2/7

Step-by-step explanation:

Slope=rise/run

[tex]rise = 8 - 4 = 4 \\ run = 10 - ( - 4) = 14 \\ slope = \frac{4}{14} = \frac{2}{7} [/tex]

Avery can sweep the deck in 5 minutes and Madeline can do it in 7 minutes. How long will it take them to do it together?​

Answers

Avery in 5 minutes sweeps 1 deck, so in 1 minute she sweeps 1/5 of the deck

Madeline in 7 minutes sweeps 1 deck so in 1 minute she sweeps 1/7 of the deck.

1/5 + 1/7 = 7/35 + 5/35 = 12/35

Together they will sweep 1 deck in x minutes : 1/x

12/35 = 1/x =

X = 35/12 = 2.92 minutes. ( round the answer as needed)

Rationalise the denominator as per necessary and simplify.​

Answers

Answer:

[tex]8\sqrt{7}[/tex]

Step-by-step explanation:

[tex]\frac{21}{\sqrt{7} } * \frac{\sqrt{7} }{\sqrt{7} }[/tex] = [tex]\frac{21\sqrt{7} }{7}[/tex]

[tex]\frac{21\sqrt{7} }{7}[/tex] = [tex]\frac{147\sqrt{7} }{14}[/tex]

[tex]\frac{147\sqrt{7} }{14} - \frac{35\sqrt{7} }{14}[/tex]

[tex]\frac{112\sqrt{7} }{14}[/tex]

[tex]8\sqrt{7}[/tex]

I need help what’s the answer?

Answers

The answer is $18 of profit. To find the answer I did 36-18= 18, 54-36=18 and so on.

Answer:

Step-by-step explanatiobxbsbsx

xbsbxs sbsbx

bxbxb xx xgsgsywubxhshs bxhx ss

bx bx sh bxsh sxhssbxhs

the coefficient of x in -7xy is -7​

Answers

Answer:

True: the leading coefficient in the monomial is -7

Step-by-step explanation:

Math

The length of a boat in scale drawing is 8 in. Find the length of the actual
boat if the scale is 1 in = 3 ft.
A)24 in
B.)24 ft
C.) 8 ft
D.) 11 in.

Answers

Answer:

B. 24 ft

Step-by-step explanation:

1 in = 3ft

8 in must equal 24 ft since 8 in x 3 ft is 24 ft. So, B.

The length of the boat will be equal to 24 ft.

What is the scale factor?

The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.

Given that:-

The length of a boat in scale drawing is 8 in. Find the length of the actual boat if the scale is 1 in = 3 ft.

The actual length will be calculated as follows:-

1 in = 3 ft.

8 in = 8 x 3 ft

8 in = 24 ft.

Therefore the length of the boat will be equal to 24 ft.

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A political party sends a mail survey to 1500 randomly selected registered voters in a community. The survey asks respondents to give an opinion about the job performance of the current President. Of the 1500 surveys sent out, 480 are returned, and of these, only 120 say they're satisfied with the President's job performance. The sample is the:

Answers

Answer:

B

Step-by-step explanation:

The sample is

A) the voters in his district.

B) the 1500 randomly selected voters receiving the questionnaire.

C) the 120 voters surveyed that are satisfied with the president's job performance.

D) the 480 surveys returned.

53:45
What is the equation of the line that is parallel to the line x=-2 and passes through the point (-5, 4)?
6 m.
O x= -5
O x = 4
O y=-5
O y = 4
Marks and rem
Save and Exit
ed

Answers

Answer:

x=-5

Step-by-step explanation:

any line parallel to x=a is x=b

line parallel to x=-2 is x=-5

The equation of the line is x = -5.

What is the Linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

The line x = -2 is a vertical line passing through the point (-2, y) for all y. Since we want a line parallel to this line, it must also be a vertical line.

Therefore, the equation of the line that is parallel to x = -2 and passes through the point (-5, 4) is simply x = -5.

So the answer is x = -5.

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Can someone help me with this math homework please!

Answers

1. C

2.A

3.D

4.B

Here's the answer.

Answer:

1 C

2 A

3 D

4 B

Step-by-step explanation:

The y-intercept is whenever the graph crossses the y-axis, so the input will always be 0.

When f(x) > 0, that's when the output is greater than 0, so it would be above the x-axis.

The x-intercept is whenever the graph crosses the x-axis, so the output will always be 0.

Hope that helps (●'◡'●)

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