Use sigma notation to represent the sum of the first seven terms of the following sequence: 4, 10, 16, …

Answers

Answer 1

Answer: 154

Step-by-step explanation:

[tex]a_1=4,\ d=6\quad \rightarrow \quad a_n=4+6(n-1)\quad \rightarrow \quad a_n=6n-2\\\\\\\sum^7_{n=1}6n-2\\\\\\a_1=4\\a_7=40\\\\\\S_n=\dfrac{a_1+a_7}{2}\cdot n\qquad =\dfrac{4+40}{2}\cdot 7\qquad =22\cdot 7\qquad =\large\boxed{154}[/tex]

Answer 2

Answer:

154 I think

Step-by-step explanation:


Related Questions

I need some help with these

A fruit merchant earns a profit of Rs.10 per bag of oranges and a loss of Rs.5 per bag of grapes sold. If he sells 200 bags of oranges and 350 bags of grapes, find the total profit/loss.

In a test (+5) marks are given for every correct answer and (-3) marks are given for every incorrect answer and 0 for answer not attempted. Neha gets 4 correct and 3 incorrect out of 7 questions she attempted. What is her score?

The weight of an object on Moon is 1/6 its weight on Earth. Find the weight of the object on Moon which weighs 28/5 Kg on Earth.

Find 3/4 of 5/7

It'd really help me out if anyone answers this!!

Answers

Answer:

1) A profit of Rs 250 is made.

3) 11 marks

3) 14/15 kg

4) 15/28

Step-by-step explanation:

1) A profit of Rs.10 per bag of oranges and a loss of Rs.5 per bag of grapes sold. The total profit/loss from selling 200 bags of oranges and 350 bags of grapes is:

total profit/loss = 200 (10) - 5(350) = 2000 - 1750 = Rs 250

A profit of Rs 250 is made.

2) (+5) marks are given for every correct answer and (-3) marks are given for every incorrect answer and 0 for answer not attempted. If he answer 4 correct and 3 incorrect out of 7 questions. His score is:

Score = 5(4) - 3(3) = 20 - 9 = 11 marks

His score is 11 marks

3) An object weighs 28/5 kg on earth. Since its weight on moon is  1/6 its weight on Earth.

The weight on moon = 1/6 × 28/5 = 14/15 kg

4) 3/4 of 5/7 = 15/28

-5(x+2)=-20
Help me find X

Answers

Answer:

x=2 :D

Step-by-step explanation:

first divide by -5 on both sides to get x+2=4 then subtract 2, and get x=2

Answer:

I'm pretty sure its 2

Step-by-step explanation:

I did the math

By selling a book for $16.50, a bookseller loses 12%. What is the cost price of the book?

Answers

Answer: 18. 75

Step-by-step explanation:

plz follow my table format here i will be delighted to share

cp  percent  fraction   sp

          -12         88/100  16. 50

100*16.50 /88= 18.75

20 POINTS PLZ HELP
Select the correct answer from the drop-down menu.


The order of matrix A + B is __.

Answers

Answer:

last one 4 x 1

Step-by-step explanation:

Order of the matrices must be the same in order to add them up

Adding matrices mean adding corresponding elements together

Order of matrix is 4 rows and 1 column

Answer:

4 x 1  ( 4 rows and one column)

Step-by-step explanation:

Recall the definition for order of a matrix: The number of rows times the number of columns.

So, in this case, we are adding matrix A which is 4 rows and 1 column to matrix B which is also of 4 rows and one column, obtaining a third matrix that has also 4 rows and one column:

[tex]\left[\begin{array}{cccc}-9\\0\\3\\-1\end{array}\right] +\left[\begin{array}{cccc}0\\4\\-6\\2\end{array}\right] =\left[\begin{array}{cccc}-9\\4\\-3\\1\end{array}\right][/tex]

The resultant A + B is also of 4 rows and one column

Please send help, I need it answered.

Answers

Answer:

100 degrees

Step-by-step explanation:

WILL MARK BRAINLIEST.

Answers

Answer:

option d

Step-by-step explanation:

The cross section of the rectangular prism is parallel to the base.

So, the length and width is congruent to the base. So, same length and width

How many millimeters are in 1 meter? Use the metric table to help answer the question.


Metric Table
kilo-
hecto-
deka-
unit
deci-
centi-
milli-
1,000
100
10
1
0.1
0.01
0.001


Please help me!!!

Answers

Answer:

100cm make one metre

10mm make 1cm

therefore, 100×10= 1000

Answer:

answer is d

Step-by-step explanation:

took a test:)

Choose all the numbers that are common multiples of 4 and 5.
25
40
50
60
75
80

Answers

Answer:

40

Step-by-step explanation:

it would be 20 too but there is no opition for this  i hope i helped

40, 60, and 80.
i hope this helps

How does subtracting the same amount from each value in a data set affect the mean,median,mode, and range? Explain.

Answers

Answer:

The mean, the median, the mode and the upper and lower limits of

the range would each be reduced by the amount subtracted.

Step-by-step explanation:

If all the edges of prism A are multiplied by 5 to create prism B. The volume of prism B will be __________ times the volume of prism A? *

Answers

Answer:

125

Step-by-step explanation:

Say prism A is a cube, and all the sides are x, then the volume of prism A is [tex]x^3[/tex].

If you multiply each side by 5 (prism B), then each side is 5x, so the volume of prism B is [tex]125x^3[/tex], which is 125 times more than [tex]x^3[/tex].

consider the formula for slope between two coordinate points, m, shown below.

m=y2-y1/x2-x1

which of the following equations is equivalent to the slope formula?

Answers

Answer:

the answer is A

Step-by-step explanation:

if u see, to get Y2 on its own u have to first multiply x2-x1 on both sides

m(x2-x1)=y2-y1

and then to get Y2 alone u need to add Y1 to both sides

m(x2-x1)+y1=y2

The following equations is equivalent to the slope formula A.

We have given that,

consider the formula for slope between two coordinate points, m, shown below.

[tex]m=y_2-y_1/x_2-x_1[/tex]

What is the formula of the slope?

[tex]m=y_2-y_1/x_2-x_1[/tex]

Where m is the slope and [tex]y_1[/tex] and [tex]y_2[/tex] and [tex]x_1[/tex] and [tex]x_2[/tex] are coordinates of the axis.

if u see, to get [tex]Y_2[/tex] on its own u have to first multiply [tex]x_2-x_1[/tex] on both sides

[tex]m(x_2-x_1)=y_2-y_1[/tex]

and then to get Y2 alone u need to add Y1 to both sides

[tex]m(x_2-x_1)+y_1=y_2[/tex]

To learn more about the slope visit:

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Describe a circular cross-section of a sphere that does not pass through the center.
Select All that apply
The radius will be equal to the radius of the sphere
The radius will be larger than the radius of the sphere
The radius will be smaller than the radius of the sphere
The area of the circular cross-section will be 2piR squared
The sphere will be divided into 2 equal sections
The volume of the 2pieces of the sphere will not be the same

Answers

Answer:

The radius will be smaller than the radius of the sphere

The volume of the 2 pieces of the sphere will not be the same

Step-by-step explanation:

A sphere is a three-dimensional geometrical figure. It is a set of all points equidistant from a fixed point in space.

A circle is a two-dimensional figure. It is the locus of all points equidistant from a central point.

For a circular cross-section of a sphere that does not pass through the center,

the radius will be smaller than the radius of the sphere, the volume of the 2 pieces of the sphere will not be the same

Answer:

The radius will be smaller than the radius of the sphere

The volume of the 2 pieces of the sphere will not be the same

Step-by-step explanation:

What is the value of h in the figure below?

Answers

Answer:

12

Step-by-step explanation:

ΔBAD is similar to ΔCBD.  So we can write a proportion:

BD / CD = AD / BD

h / 16 = 9 / h

h² = 144

h = 12

For what value of x do the expressions 2/3 x+2 and 4/3 x-6 have the same value? *

Answers

Answer: 42

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Hi, to answer this we have to equal both equations given and solve for x.

2/3x+2 = 4/3x-6

Solving for x:

2/3x-4/3x= -6-2

-2/3x = -8

x = -8/ (-2/3)

In conclusion, when the value of x is equal to 12, both expressions will have the same value.

Find the surface area of the cylinder.
9 cm
19 cm​

Answers

Answer:

You have not given any detail about the cylinder like radius diameter or height.

the cost of fun for kids magazine for x number of months is shown below


If the cost (C) of another magazine, Family Fun, for x number of months is
given by C=1.99x, which magazine costs more?​

Answers

Answer:

5 is the answer mate

Step-by-step explanation:

Suppose a medium pizza at Vincent's costs $6.75 plus $0.75 for each topping, and the cost of a medium pizza at Original Italian Pizza is $6.15 plus $0.80 per topping. How many toppings would you have to include on your pizza for the price to be the same at both places?

Answers

Answer:

12 toppings

Step-by-step explanation:

To do this, we need to write an equation for each place, and then, equal both equations to solve for this.

Let's call "y" the price of the pizza, and "x" the number of toppings.

At Vincents, pizza costs 6.75 + 0.75 for each topping, so the equation here would be:

y = 6.75 + 0.75x  (1)

Now, at italian pizza, a pizza costs 6.15 + 0.80 per topping, so the equation:

y = 6.15 + 0.80x  (2)

Now, we don't need to know the actual price of the pizza, we only want to know how many toppings we need to add on both places, so the pizza has the same price. We have both equations, it's time to equal both of them:

Equalling (1) and (2) we have:

6.75 + 0.75x = 6.15 + 0.80x

Now, let's solve for x:

6.75 - 6.15 = 0.80x - 0.75x

0.6 = 0.05x

x = 0.6 / 0.05

x = 12

So the number of toppings to include in the pizza so the price is the same for both places, will have to be 12 toppings.

Answer:

12 toppings and the prize will be the same.

Step-by-step explanation:

Let

number of toppings = a

Medium pizza at Vincent's

cost  = 6.75 + 0.75a

Medium pizza at Original Italian Pizza

cost  = 6.15 + 0.80a

For the cost to be the same

6.75 + 0.75a = 6.15 + 0.80a

collect like terms

6.75 - 6.15 = 0.80a - 0.75a

0.6  = 0.05a

divide both sides by 0.05

a = 0.6/0.05

a = 12  

12 toppings and the prize will be the same.

Either you don't live in the U.S., or you should be sleeping

Answers

Answer:

so whats your question?

Step-by-step explanation:

1WHATS

2YOUR

3QUESTION

4?????

Find the area of each parallelogram.

Answers

Answer:

30 and 21

Step-by-step explanation:

I need help with this question ​

Answers

I think it is 120 because they are the same angle.

Which relationships could have a negative correlation? Select three options. number of hours on video games and test scores speed of a car and minimum stopping distance average running speed and total race time adult’s head circumference and age outside temperature and amount of a heating bill

Answers

Answer:

- number of hours on video games and test scores

- average running speed and total race time

- outside temperature and amount of a heating bill

Step-by-step explanation:

1. number of hours on video games and test scores (negative correlation - as you spend more hours on video games, test scores might decrease)

2. speed of a car and minimum stopping distance (positive correlation - as the distance to the next stop increases, the speed of the car should increase)

3. average running speed and total race time (negative correlation - as you run for longer, your speed should decrease)

4. adult’s head circumference and age (positive correlation - as your age increases, your head size increases, too)

5. outside temperature and amount of a heating bill (negative correlation - as temperature increases, the heating bill decreases)

The two options with negative correlations are:

"Number of hours on video games and test scores" and "Outside temperature and amount of a heating bill"

Which relationship could have a negative correlation?

A relation between two variables, x and y, has a negative correlation when if one variable increases, the other decreases.

From the options, the ones that can have a negative correlation are:

Number of hours on video games and test scores: Here as the number of hours that you play video games increases, it is possible that your test scores decrease, so we have a negative correlation.

Outside temperature and amount of a heating bill: As the outside temperature decreases, the amount that you pay in heating increases, so again, we have a negative correlation.

If you want to learn more about correlations:

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Find the mean median and mode of the refrigerator prices shown in the table. Witch measurement might be misleading to describing the average cost of a refrigerator?

Answers

Answer:

We need the picture.

Step-by-step explanation:

Unless the data is skewed (which means there is outliers) then you use mean as the most accurate. If you have a skewed graph or outliers then mean would mislead you to believe prices are higher (if you have high outliers) or low (if you have low outliers). Median is typically very accurate. Mode may be inaccurate if you have a lot of prices in a really high or low value.

jogging burns 375 calories in 45 minutes. determine how many calories are burned per hour

Answers

Answer:

500 calories are burned per hour

Step-by-step explanation:

First Step:

Find out how many calories they burn per minute

375/45 which equals 8.333

8.333 calories are burned per minute

Second Step:

Multiply 8.333 by 60 (representing an hour) to get your calories burnt per hour

Final Answer: 500 calories are burnt per minute

Find the volume of a pyramid with a square base, where the area of the base is 11.9\text{ in}^211.9 in ​2 ​​ and the height of the pyramid is 13.9\text{ in}13.9 in. round your answer to the nearest tenth of a cubic inch.

Answers

Answer:

The volume of the pyramid is 165.4 inches^3

Step-by-step explanation:

In this question, we are asked to calculate the volume of the pyramid with a square base and also with the given height.

To find the area of this pyramid, what we need to do is to multiply the area of the base by the height of the pyramid

From the question, the area of the square base is 11.9 in^2 while the height of the pyramid is 13.9 in

Thus the volume here is simply 11.9 * 13.9 = 165.41 which to the nearest tenth of cubic inch is 165.4 inch^3

Will Mark Brainliest.

Answers

Answer: The correct answer is B]

Mark me as a brainliest.

Step-by-step explanation:

A group of 6 students was asked, "How many hours did you watch television last week?" Here are their responses: 10, 5, 18, 9, 17, 12 Find the median and mean number of hours for these students. If necessary, round your answers to the nearest tenth.

Answers

Answer:

Mean = 11.8

Median = 11

Step-by-step explanation:

Here we are asked to calculate the median and the mean for these set of numbers

Let’s start with the mean

The mean refers to the average, we simply add all the numbers together and divide by their count.

That would be;

Arithmetic mean = (10+ 5 + 18 + 9 + 17 + 12)/6 = 71/6 = 11.833 which is 11.8 to the nearest tenth

To get the median, what we do is to first rearrange the values we have from the lower to the highest.

That would be;

5,9,10,12,,17,18

Looking at the numbers after rearranging, the two middle numbers we have are 10 and 12.

So we add these together divide by 2.

That would be (10+12)/2 = 22/2 = 11

1. The height of a cylindrical tank is 9.5 feet. The diameter of this tank 1.5 feet longer than the height. The tank was holding water at full capacity, but someone consumed one-seventh of the water. Which is closest to the volume of the remaining water in the tank?

A 105 cubic feet

B 165 cubic feet

C 246 cubic feet

D 287 cubit feet

Answers


To solve this problem we first need to calculate the volume of the tank at full capacity, since it is a cylinder we can use the appropriate formula shown below:
volume = pi*r²*h
Where r is half the diameter. Since the diameter of this tank is 1.5 feet longer than the height and the height is 9.5 feet, then the diameter is equal to 11 feet, so the radius must be r = 11/2 = 5.5 feet. We can now use the formula:
volume = pi*(5.5)²*9.5 = 902.815 feet³
Since someone consumed 1/7 of the water, the remainder must be 6/7 of the total volume. So we have:
remainder volume = (6/7)*volume = (6/7)*902.815 = 773.841 feet³

If the family decides to fly, they know that they will need a rental car for at least part of their trip. Gabriela and Luis estimate a budget of $315 for rental car expenses. One rental car company charges $55 per day and $35 in taxes and fees. They also estimate that they will spend $15 per day on gas. Gabriela wrote the equation (55d+35)+15d=315 to determine the number of days the family can rent a car from this company.

How many days could the Morales family rent a car if they choose this rental car company with their estimated budget?

Answers

Answer:

The answer is 4

Step-by-step explanation:

Remove the parentheses

55d + 35 + 15d = 315

Collect the like terms

70d + 35 = 315

Move the constant to the right

70d = 315 - 35

Subtract the numbers

70d = 280

d = 4

I need help with this. It says to find the measure

Answers

Answer:

260 IS RIGHT

Step-by-step explanation:

Which of these tables represents a linear function? A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 4, 5, 6. Column 2 is labeled y with entries 3, 4, 6, 7. A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 4, 5, 6. Column 2 is labeled y with entries 6, 5, 4, 3. A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 4, 5, 6. Column 2 is labeled y with entries 7, 6, 5, 3. A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 4, 5, 6. Column 2 is labeled y with entries 2, 4, 5, 6.

Answers

Answer:

B

Step-by-step explanation:

    The other tables don't increase or decrease by only one number.  I'm pretty sure it's B. If it isn't, my apologies.

The required linear function is given by-
x  = 3   4   5   6  
y  = 6   5   4    3
Option 2 is correct.

From the option of tables the option that shows linear function is to be chosen.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Options 1), 3), and 4) can be omitted because the relation between the column of the table is not a linear function and is irrelevant to each other. While option 2) contains the table that shows a linear relationship by the following expression,

y = -x + 9

The data below give the information for the expression above

x  = 3   4   5   6  
y  = 6   5   4    3

Tus, the required linear function given by option 2 is correct.

Learn more about function here:

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