find the nth term  of the following sequence
-7 ,-4   , -1  ,  2  ,5​

Answers

Answer 1

Answer:

3n - 10

Step-by-step explanation:

Find the difference between the terms

-7 , -4 , -1,  2,  5  

  +3   +3   +3  +3

Difference of terms = 3,  so you'd write that as 3n  

Then you'd need to find the difference between the 1st term and 3:  

3 > -7

  - 10

So you'd write that as 3n - 10


Related Questions

Help, I need this soon!

Answers

Answer:

1a. x=2 1b. x= -1

Step-by-step explanation:

give an explaination of what Ordering decimals is

Answers

When ordering decimals, first write one decimal beneath the other in their original order. Then compare them two at a time. When ordering four or more decimals, it is helpful to write a number in a circle next to each to order them.

Jessica estimated that her family used 30% more water this month compared to last month . they used 12000 gallons of water last month , how much water did they use this month

Answers

Answer:

15,600 Gallons

Step-by-step explanation:

The 30% of 12000 is 3600 thus, Jessica's family used 15600 gallons of water.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Last used of water = 12000

30% of 12000 = (30/100)12000 = 3600

Water used in the current year = 12000 + 3600 = 15600 gallons.

Hence "The 30% of 12000 is 3600 thus, Jessica's family used 15600 gallons of water".

For more about the percentage,

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What is the degree of -8mn^2

Answers

Answer: 2

Step-by-step explanation:

To find the degree, use the exponent. An exponent of two means a degree of two, like an exponent of four means a degree of four

Cuál es el 45% de 4800

Answers

Answer:

2160

Step-by-step explanation:

45x4800

divide that by 100!

slove the equation below for y :

6x-4y=12

Answers

Answer:

[tex]y=-\frac{3(x +2)}{2}[/tex]

Step-by-step explanation:

We have an equation, and the question is asking for us to solve y. So to solve, we have to isolate y.

6x - 4y = 12

Subtract 6x from both sides :

-4y = 12 - 6x

Divide both sides by -4 :

[tex]y=-\frac{3(x+2)}{2}[/tex]

PLS COME ASAP PLS!!!!

Answers

Answer: 9/2

Step-by-step explanation:

21=2(6) + 2(?)

21=12 + 2(?)

9=2(?)

(9/2)=?

I NEED HELP NEEDS TO BE DONE IN 10 mins
Standard to Slope Intercept Form
Put the following equation of a line into slope-intercept form, simplifying all fractions.
2x+8y=24

Answers

Answer:

y = - [tex]\frac{1}{4}[/tex] x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

2x + 8y = 24 ( subtract 2x from both sides )

8y = - 2x + 24 ( divide all terms by 8 )

y = - [tex]\frac{1}{4}[/tex] x + 3 ← in slope- intercept form

1 4/5 = 2/5 + r HELPPPPPPPPPPPPPPPPPPPPP

































Answers

Answer:

r=7/5

Step-by-step explanation:

Help?!? I know that we need to use the Triangle Angle Sum Theorem, but... I'm completely blank.

Answers

Answer:you should add the sides

Step-by-step explanation:

Work out the size of angle x.
Х
43°
90

Answers

Answer:

It's 47

Step-by-step explanation:

I hope this helps you

Write the equation of the line passing through the given points (-4,2) (-4,7)

Answers

Answer:

Step-by-step explanation:

The x value is always going to be - 4. The y value will vary quite a bit.

x + 4 = 0 is the equation of the line. The slope is undefined. There is no y intercept. There is an x intercept; it is minus 4.

can you help me graph the line?

Answers

Answer:

Step-by-step explanation:

Select all expressions that show "X" increased by 35%.

a
1.35X
b
(35/100)X
c
x + (35/100)
d
( 1+0.35)x
e
(100+35) + x
f
(100 + 35)x

Answers

All the equivalent expressions are,

1.35X and (1+0.35)x.

The correct options are a and d.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

The value of X increased by 35%.

Here, we will use the percentage formula.

The value is increased by 35%.

That means,

100 + 35 = 135%

135% in decimal form is 1.35.

In expression form as subject to X,

X(1.35)

In expressed form,

= X + 0.35X

= 1.35X

Therefore, equivalent expressions are 1.35X and (1+0.35)x.

To learn more about the percentage;

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After swimming 60 feet below the surface of water, a whale swims up 30 feet. Use a number line to help you create an equation that shows the new location of the whale in relation to the water service.

A. The equation is -60 + (-30) = -90. The whale is 90 feet below the waters surface.
B. The equation is -60 + (-30) = -30. The whale is 30 feet below the water surface.
C. The equation is -60 + 30 = -30. The whale is 30 feet below the water surface.
D. The equation is -60 + 30 = -90. The whale is 90 feet below the water surface.​

Answers

Answer:

C. The equation is -60 + 30 = -30. The whale is 30 feet below the water surface

Step-by-step explanation:

At the surface of the water in the swimming pool, the height of elevation is 0.

Thus, if you swim 60 ft below the surface, it means you are going in the negative direction when we consider a number line. Thus, distance = -60 ft

Now, when you swim back up by 30 ft, it is in the positive direction. Thus, total distance is now; -60 + 30 = -30 ft

Thus value denotes a negative direction and it means you are 30 ft below the surface of the water.

There are 12 marbles in a bag. There are 4 blue, 5 red, 1 green, and 2 black.
12 Marbles totall
What is the probability of a red or a green from the bag?

5
12
12

Answers

Answer:

1/2

Step-by-step explanation:

There are 6 marbles that are either red or green out of 12 total marbles, so you have:

6/12 = 1/2

Answer:

1/2

Step-by-step explanation:

To find the probability, you need to put the number of what you want to know the probability of over the total. In this case, we want to know what the probability of red and green over the total is. So, hence the equation:

[tex]\frac{5+1}{12}[/tex] or [tex]\frac{6}{12}[/tex] which can be simplified to [tex]\frac{1}{2}[/tex].

5 ft
4 ft
3ft.
Find the volume

Answers

Answer:

60 feet. :)

Step-by-step explanation:

This is the formula you want to use:

[tex]l*w*h=V[/tex]

It means that length·width·height = Volume. So, 5 · 4 · 3 = 60 ft.

Convert –2y2 + x – 4y + 6 = 0 into standard form.
x = 2(y + 1)2 – 6
x = 2(y + 1)2 – 8
x = 2(y + 1)2 – 7
x = 2(y + 1)2 + 8

Answers

Answer:A

Step-by-step explanation:

X=2(y+1)^2-6

The equation in the standard form is x = 2(y + 1)² – 8. Then the correct option is B.

What is a quadratic equation?

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

Convert –2y² + x – 4y + 6 = 0 into standard form.

Simplify the equation, we have

x = 2y² + 4y – 6

x = 2(y² + 2y) – 6

x = 2(y² + 2y + 1) – 2 – 6

x = 2(y + 1)² – 8

Then the correct option is B.

More about the quadratic equation link is given below.

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Find the area of the trapezoid by decomposing it into other shapes

Answers

Answer:

60 cm ( squared )

Step-by-step explanation:

you can find the area of the trapezoid ( by decomposing it into other shapes ) by separating two triangles, and using the formula to find the area of triangles, which is A= 1/2 ( b x h ) and add the answer to those together ( 16 cm squared and 4 cm squared ), and after that, you can find the area to the rectangle by multiplying the l x w, which is 10 x 4 ( after separating the triangles.). That equals 40, and when you add them all together ( 16 + 4 + 40 ) it equals 60 cm (squared).

Xiang is a teacher who bought a $2350 laptop for school use. The laptop is an allowable
deduction with a rate of depreciation of 33% p.a. of the current value. How much can be
claimed for depreciation in the:

Answers

Answer:

b

Step-by-step explanation:

Solve for c:



c + (-20) = -12

Answers

Answer:

8

Step-by-step explanation:

Isolate and solve for C

[tex]c + (-20) = -12\\c - 20 = -12\\c = -12+20\\c = 8[/tex]

Answer:

C = 8

Step-by-step explanation:

By reversing the equation, you can get the result.

-12 + 20 = ?

-12 + 20 = 8

Proofcheck:

8 + (-20) = ?

8 + (-20) = -12

simplify the following expression=(4ad)-1/13b x 16a/(13abc)-1

Answers

Answer:

(4ad) - 16/169c -1.

Step-by-step explanation:

Alright. Let's start.

(4ad) - [tex]\frac{1}{13}[/tex]b * [tex]\frac{16a}{13abc}[/tex] -1 is the expression.

So, by PEMDAS, we need to do the multiplication first. We can also say that 1/13b is the same as b/13.

(4ad) - 16ab/169abc -1     Now let's cancel out the b and a on numerator and denominator.

(4ad) - 16/169c -1.

Hope this helps!

Find the missing value to the nearest hundredth cos=4/38

Answers

Answer:

83.96 (approximately)

Step-by-step explanation:

I am not completely sure what the problem is asking, just like the last one, but I believe that you are just supposed to take the inverse of cosine. So, in your calculator, make sure it is in degrees mode, then usually you have to click the 2nd key and then cosine. You use the inverse of cosine when two sides are given, but you are not given the angle.

It should look like:

[tex]cos^{-1}(\frac{4}{38})[/tex], which is approximately 83.96.

Hopefully this is right, if not, please let me know. Good luck.

I'm struggling a little bit can someone help?? A cell phone costs $850. You have a coupon for 15% off. How much will you pay for the phone? Include 13% tax

Answers

Answer:

722.50

Step-by-step explanation:

not exactly sure its right but i did use a calculator so I'm pretty sure it's right

Given:

850 dollars is the original price of the cell phone. (discount) coupon for 15% offtax is 13 percent.

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

original price - discount = sales price

850 - (850 x [tex]\frac{15}{100}[/tex] ) = sales price

ANSWER: $722.50 or [tex]\frac{1445}{2}[/tex]

Include 13% tax... price + sales tax = total price of the phone

722.50 + (722.50 x [tex]\frac{13}{100}[/tex] ) = ?

ANSWER:  The final price of the cellphone is $816.43

1) A puppy eats a sausage 5 seconds faster than a kitten eats an identical sausage. If they share one sausage, they can eat it in 6 seconds. How long does it take each animal to eat a sausage alone?

2) A tourist ignores the warning signs and leaves food in his car while he goes for a hike. A mama bear and her cub open the car door in 6 seconds. How long would it take each bear to open the car door alone if the cub needs 9 more seconds than the mama bear?

3) A superhero and his sidekick simultaneously leave the city and fly toward a secret hideout that is 1800 km away. The superhero's speed is 100 km/h slower than the sidekick's speed, and so he arrives at the hideout 36 minutes after his sidekick. Find the speed of each.

4) A bear loves visiting his friend, the piglet. The distance between their houses is 300m, and the bear always walks from his house to the piglet's house in exactly the same amount of time. But today, the bear stops at a beehive after walking 1/4 of the distance. He eats honey for 2.5 minutes and then continues to the piglet's house at a speed 15 m/min faster than usual. The total journey to the piglet's house takes the exact same amount of time as it usually does, when the bear does not stop for honey. How long does the journey take?

Answers

Answer:

1) The puppy takes 10 minutes, the kitty takes 15 minutes.

2) The mama bear takes 9 minutes, the cub takes 18 minutes

3) The sidekick goes at 600 mph, the hero goes at 500 mph.

4) 10 Minutes

5) RSM is so hard, amiright?

Step-by-step explanation:

1) You can simplify the word problem into the equation 1/x + 1/x+5 = 1/6.    For problems like these, you have to simplify the last part to a fraction, not a whole number.   Then you just solve.

2) Same thing.  1/x + 1/x+9 = 1/6.   Solve.  Boom.  Done.

3) A bit different, but it simplifies to 1800/x-100 - 1800/x = .6.   Solve.   C'mon, you should've been able to do this one.

4) Harder, simplifies to 75/x+225/x+15+2.5 = 300/x.   You get the last part because the time the bear took is equal to the time it would normally take, which is the entire distance over the normal pace.   Then you solve and there we go, most of your RSM homework is done.  

Answer:

Puppy takes 10 sec.

Kitty takes 15 sec.

The mama bear can do it in 9 seconds

The cub can do it in 18 seconds

Superhero: 500 km/h

Sidekick: 600 km/h

THIS IS CONFUSINGG HELP

Answers

Answer: B hope that helps

Is this statement always true?A cross section parallel to the base of a right rectangular prism is a square

Answers

Answer:

Step-by-step explanation:

No, it's not always true

3. A scientist recorded the movement of a pendulum for 10 s. The scientist began recording when the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left (negative displacement) several times. The pendulum took 4 s to swing to the right and the left and then return to its resting position. The pendulum’s furthest distance to either side was 6 in. Graph the function that represents the pendulum’s displacement as a function of time.
(a) Write an equation to represent the displacement of the pendulum as a function of time.
(b) Graph the function.

Answers

Answer: Hi I just finnish this assignment yesterdaylol

im still doing revisons on my "works shown" but heres a screenshot of my work (DO NOT JUST COPY N PASTE MY WORK, THE TEACHERS WILL KNOW )(U HAVE TO WRITE IT ON A PICE OF PAPER BY UR SELF)

Step-by-step explanation: do u go to cava (10th grade?)

im wondering because i need help on an assignment lol.

also, here is the feed back i resived  from my teacher.

"#3 The graph needs to be more accurate such as same distance, symmetric, and height.  Missing steps to finding b.  Use the formula for finding the period, but instead solve for b.  (-5)

Show how the period is found.  Include a table showing substitution for the five points.  attend office hours at 8:30am if you need help with this."

when you finish the revisions can you please show me it too. PLZ MARK BRAINLIEST

Thank you.

and ur welcome lol

PLease help with this i will give brainliest

Answers

Answer:

Probably -3

Step-by-step explanation:

If it's going by 3s, then it should be -3.

Answer:

-3

Step-by-step explanation:

Helppppppppppppppppp plzzzzzzzzzzzzzzzzzzzzzz

Answers

A it’s only right they is no way you can get more then A and it’s rounded
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