An arithmetic sequence has a first term of 6.3 and a second term of 8.8 Which term has a value of 78.8?

Answers

Answer 1

First term [ a ] = 6.3

Common difference [ d ] = 8.8 - 6.3 = 2.5

Using general term formula,

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

78.8 = 6.3 + (n-1)*2.5

2.5*(n-1) = 72.5 [ Dividing both sides by 2.5 ]

n-1 = 29

n = 30

Hence, 78.8 is the 30th term in the arithmetic series.

Related Questions

I draw a card 50 times from a standard 52 deck and gets a heart 8 times what's the probability that I draw a heart on the next draw

Answers

To solve this problem, let us first define what probability is. By standard definition, probability is the ratio of how many times a selected event occurred over the total number of events which occurred. Hence:

Probability = number of times a selected event occurred / total number of events

In this case, our selected event is the drawing of a heart which occurred 8 times. While our total event is the total number of drawing of cards which occurred 50 times. Hence, the probability is:

Probability = 8 / 50

Probability = 4 / 25 = 0.16 = 16%

Therefore there is a 4/25 or 0.16 or 16% chance that the next draw will be a heart.

what rate is equivalent to 72/9

Answers

8/1 is equivalent to 72/9

Rewrite the set M by listing its elements. Make sure to use the appropriate set notation

M= {x | x is an integer and -2 < x < 1}

Answers

We are given the rule for the set,
M= {x | x is an integer and -2 < x < 1}In words, this set translates to numbers that are integers and greater than -2 but less than 1.
The actual elements of the set are
M = { -1, 0}
There are only two elements.

Find the greatest number
0.9,0.91,9/10

Answers

0.9=0.9/1=9/10=90/100

0.91=0.91/1=9.1/10=91/100

9/10=90/100

90/100<91/100

the greatest is 91/100 or 0.91

one of the comers of a cube is sliced off the resulting cross section will have a minimum of ? Sides ?

Answers

a corner of a cube connects 3 sides to each other,

then add the side of the cut

so it would have 4 sides

"Exponents and Multiplication- Simplify. Your answer should only contain positive exponents." Please help quickly !!

Answers

the answer to number 4 is 2 to the 5th power

Simplify (9.5)(−2)(−5).

Answers

So you basically just multiply all of them
You get 95
hope this helps:)

(9.5)(-2)(-5)

All you have to do is multiply them :)

{(9.5)(-2) · (-5)}

Simplify.

(-19) · (-5)

Simplify.

95

~Hope I helped!~

what is 7a + 10 = 2a

Answers

7a-2a=-10
5a=-10
a=-10/2
a=-5

Here's the answer to you question

Seth is trying to find the unit price for a package of blank discs on sale at 10 for 5.49, his answer was $1.82 per disc is he correct?

Answers

Seth is incorrect, because on sale, 1 disc would cost about $0.55.
I figured this out by dividing 5.49 by 10, and got $0.549 which rounds to $0.55.

If this is incorrect, I am sorry, but I am 99.9% sure that I am correct.

Carmen buys 153 shares of Cawh Consolidated Banks, each of which pays a constant yearly dividend of $7.14. After six years, how much has Carmen received in dividends?

Answers

153 x 7.14 = 1092.42
so every year she gets $1092.42
so times that by 6 and the answer is $6554.52

Answer: $6554.52

Step-by-step explanation:

Total number of shares bought by Carmen =153

A constant yearly dividend paid by each share=$7.14

Thus, 153 shares pays yearly dividend =[tex]153\times7.14=\$1092.42[/tex]

After 6 years, total dividend received by Carmen=[tex]6\times1092.42=\$6,554.52[/tex]

Hence, The total dividend received by Carmen in 6 years = $6554.52

A rectangular tabletop has a length of 4 3/4 feet and an area of 11 7/8 square feet. What is the width of the table top?

Answers

Well to find this first you will divide the area by the length.
If you can use a calculator just put 11.875/4.75 which gives you as your width 2.5.
If you can't then change them into irregular fractions so...
11 7/8 --> 95/8
4 3/4 --> 19/4
Then divide them
95/8 / 19/4
95/8 * 4/19
380/152= 2.5 or 2 1/2

A flooring company ships 13x13 inch tile in boxes of 11 tiles each, on pallets containing 40 boxes (Check Work Required. Please Help)

A) How many square feet does each box contain?
B) How many square feet will a pallet of tile cover?

Answers

Each tile cover an area of 13 in*13 in= 1.08 ft *1.08 ft= 1.17 square feet.

A) Each box contains 11 tiles, each of which covers 1.17 square feet.

So the area each box covers is 11*1.17 square feet=12.87 square feet

B) A pallet contains 40 boxes, each of which covers 12.87 square feet,

so one pallet covers 40*12.87 square feet=514.8 square feet.

Answer:

A) 12.87 square feet

B) 514.8 square feet.

Which expression will equal a rational product even though it is multiplying an irrational number times another irrational number?

Answers

There're a lot of many irrational that meet the requirement. For example:
[tex]11/ \pi * \pi /7[/tex] where[tex]11/ \pi [/tex] and [tex] \pi /7[/tex] represent irrational numbers
Cancel [tex] \pi [/tex] out to get
11/7
[tex] \sqrt{2} * \sqrt{2}= \sqrt{4} =2=2/1[/tex] where[tex] \sqrt{2} [/tex] is known as irrational number. As a result, these are some examples of how an irrational number times another irrational number to get rational. Hope it help!

Answer:

Which expression will equal a rational product even though it is multiplying an irrational number times another irrational number?

What is the equation of the line that is parallel to y = -2x + 4 and goes through the point (1,7)

Answers

Answer: y = -2x+9

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

Work Shown:

The slope of the line y = -2x+4 is m = -2
Any line parallel to this line will also have a slope of m = -2
Parallel lines have equal slopes

Plug this slope, along with the given point (x1,y1) = (1,7) into the point slope formula. Then isolate y

y - y1 = m(x - x1)
y - 7 = -2(x - 1)
y - 7 = -2x + 2
y - 7 + 7 = -2x + 2 + 7
y = -2x + 9

The whole is 8. One part is 8. What is the other part? Tell how you know.

Answers

I assume that the question here refers to addition, because that's what "part of" suggests- it's the closest mathematical operation that makes sense.

In an addition 8+x=8

x, the "other part" has to be 0 - this i means that the first part of 8 is 8 and the other is an "empty part"

The area of a triangle is 6.75m2. If the base of the triangle is 3 m, what is the height of the triangle?

Answers

answer is given above

How to solve: (looking for b)
y =mx+b

Answers

Subtracting mx from both sides, we get y-mx=b

Please help!
The number line below represents which combined inequality?
number line with a closed circle on negative 2, shading to the left and a closed circle on 4, shading to the right
x greater than or equal to −2 or x less than or equal to 4
x greater than or equal to −2 and x less than or equal to 4
x less than or equal to −2 or x greater than or equal to 4
x less than or equal to −2 and x greater than or equal to 4

Answers

I'm doing interval notations right now in pre-calculus, this how this notation should be written, (-∞,-2] or [4,∞), but this, (x ≤ -2] or [4 ≤ x), means the same thing. closed circle gets a bracket and an open circle gets a parenthesis, infinity always gets a parentheses because it is not a number. hope this helps

Answer:

Step-by-step explanation:

I just did it on edge 2021 :)

How do you do solve this question?

Answers

In 14 minutes, Dan has already traveled 840 miles

14 • 60 = 840

Since Jake bikes 210 per minute, you would need to divide the total number of miles that Dan has traveled in 14 minutes (840 miles) by the amount of miles Jake can travel in one minute (210).

840 ÷ 210 = 4 minutes

Answer: 4 minutes

The baker pays $0.80 per pound for sugar and $1.25 per pound for butter. Write an expression that shows how much the baker will spend if he buys 6 pounds of butter and 20 pounds of sugar.

Answers

Answer:

$0.80x + $1.25y = z

Step-by-step explanation:

the total money spent if the Baker bought 6 pounds of butter and 20 pounds of sugar would be $23.50.

The total money spent if the Baker bought 6 pounds of butter and 20 pounds of sugar would be $23.50.

What is Expression?

An expression is combination of variables, numbers and operators.

Given,

The baker pays $0.80 per pound for sugar

The baker pays $1.25 per pound for butter.

We need to write expression that shows how much the baker will spend if he buys 6 pounds of butter and 20 pounds of sugar.

Let x be the pounds for sugar

x be the pounds for butter

20x+6y=Total

As x=0.80 and y=1.25

20(0.80)+6(1.25)

16+7.5

23.5

Hence, the total money spent if the Baker bought 6 pounds of butter and 20 pounds of sugar would be $23.50.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ5

A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.
In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot

Answers

The first step in solving a problem is illustrating it just as what the picture shows. The ladder represents the hypotenuse, or the longest side of the right triangle. It measures 14 feet. The base measures 6 feet. The height of the top of the ladder from the base of the wall is denoted as x. Since this is a right triangle, the special equations for Pythagorean theorems would apply. The equation is

c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the other shorter legs. Substituting the values,

14^2 = 6^2 + x^2
x^2 = 14^2 - 6^2
x^2 = 160
x = 4√10 = 12.65 feet

The height of the building from the top of the ladder is 12.6 ft

The situation forms a right angle triangle.

Right angle triangle:

A right angle triangle is a triangle that has one of its sides as 90 degrees.

Therefore,

The length of the ladder is the hypotenuse side.

The bottom of the ladder distance from the base of the building is the adjacent side of the triangle. Therefore,

The height of the building from the top of the ladder is the opposite sides. Therefore, using Pythagoras theorem.

c² = a² + b²

14² - 6² = b²

b² = 196 - 36

b² = 160

b = √160

b = 12.6491106407

b = 12.6 ft

learn more on right triangle here: https://brainly.com/question/12553755

What is p−m ⋅ pn equal to?

Answers

(p - m)*pn

= p²n - pnm

The answer is
p−m ÷ n

some kids like to ride their bikes to and from school let d be the distance in miles from a kid home to school write 2 expression to represent how far a kid travel by bike in 4 weeks

Answers

Expression 1; If your friend bikes 1.5 miles home from school each day for 4 weeks, they bike a total of - miles in that time period. The math I did was multiply 5 by 4 to get 20 school days in 4 weeks, and multiplied 1.5 by 20 to get 30 miles biked in 4 weeks.
Expression 2; If you bike 3.25 miles home from school each day, using the same math shown in the previous expression, substituting 1.5 for 3.25. Using that math, you would bike 65 miles in 4 weeks.

Sarcastic conclusion; You and your friend both get quite the leg day just to get home from school!

An arrow is shot upward with a velocity of 64 feet per second. Using the formula h(t)=64t-16t^2, how long after the arrow is released does it hit the ground?

Answers

It hits the ground when h(t)=0

-16t^2+64t=0 factor

-16t(t-4)=0, we know t>0 so

t=4 seconds.

Answer:

After the 4 second arrow is released, it will hit the ground.

Step-by-step explanation:

Consider the provided formula.

[tex]h(t)=64t-16t^2[/tex]

We need to find how long after the arrow is released does it hit the ground.

If the arrow hit the ground that means the value of h(t)=0.

Substitute the value of h(t)=0 and solve the equation as shown.

[tex]64t-16t^2=0[/tex]

[tex]16t(4-t)=0[/tex]

Now use zero product rule: If ab=0 then either a=0 or b=0

[tex]16t=0\ or\ 4-t=0[/tex]

[tex]t=0\ or\ -t=-4[/tex]

[tex]t=0\ or\ t=4[/tex]

Hence, after the 4 second arrow is released, it will hit the ground.

The highest score that is a record for a particular video game is 19,749 points. The lowest score on record for the same video game is 176 points. Which of the following inequalities best shows the range of scores recorded on the game?

Answers

According to my algebra knowledge, the answer is D.

They key is the less than or equal to sign.

Have a blessed day :)

Let x represent the score that the individual can get
The highest score that is a record for a particular video game is 19,749 points, and it means that the individual could get 19749 points or lower than that, so the inequality will be like this:
[tex]x \leq 19749[/tex]
Next, the lowest score on record for the same video game is 176 points, and it also means that the individual could get 176 points or lower, so the inequality will be:
[tex]x \geq 176[/tex].
Finally, we have the two inequality we want and let's combine them, to get:
[tex]176 \leq x \leq 19749[/tex]. As a result, D is your final answer. Hope it help!

math question down below

Answers

Set up a proportion

45/225= x/100

45/225 simplifies to 1/5.

1/5= x/100
5*20=100
1*20=20=x

Final answer: 20%

Your answer is 500% Here's why: 2. We assume, that x is the value we are looking for. If 100% equals 45, so we can write it down as 100%=45.
We know, that x% equals 225 of the output value, so we can write it down as x%=225.
Now we have two simple equations:
1) 100%=45
2) x%=225
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=45/225
Now we just have to solve the simple equation, and we will get the solution we are looking for.
Solution for 225 is what percent of 45

100%/x%=45/225
(100/x)*x=(45/225)*x - we multiply both sides of the equation by x
100=0.2*x - we divide both sides of the equation by (0.2) to get x
100/0.2=x
500=x
x=500

now we have:
225 is 500% of 45 That's your answer. Hope I helped!

The term that describes how long it takes a function to repeat its behavior is the _____

Answers

The term is called period, i.e. after every period, the function starts over again

7.06) If the greatest value the variable m can be is less than 9, which of the following inequalities best shows all the possible values of m? m < 9 m > 9 m ≤ 9 m ≥ 9

Answers

greatest value of m is les than 9
means m is less than 9

m<9

Hello,

The correct answer is A) m < 9

Hope this helps!!!! Happy Holidays!!!! (:

The area of a triangle is 6 square feet. The base is 3 times its height. What is the base of the triangle?

Answers

The base of the triangle is 2.

Area=1/2 bh
6=1/2bh
12=bh
height is x, base 3x

12=3x^2
x^2=4

x=2
height = 2 feet

base = 3*2 = 6 feet

PLEASE HELP!! 20 POINTS <33

Answers

[tex](x-x_a)^2+(y-y_a)^2}=r^2 \\ x_a=3, \ \ y_a=5, \ \ r=2 \\ \\ \\ (x-3)^2+(y-5)^2}=2^2 \\ \boxed{(x-3)^2+(y-5)^2=4}[/tex]

The first equation is the answer

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