What is the sum of the series?
10
Σ(7k– 2)
k=1

Answers

Answer 1

Answer:

365

Step-by-step explanation:

The simplest method is to substitute values of k = 1 to 10 into the expression and sum the terms, that is

7(1) - 2 + 7(2) - 2 + 7(3) - 2 + 7(4) - 2 + 7(5) - 2 + 7(6) - 2 + 7(7) - 2 + 7(8) - 2 + 7(9) - 2 + 7(10) - 2

= 5 + 12 + 19 + 26 + 33 + 40 + 47 + 54 + 61 + 68

= 365


Related Questions

Find the Surface Area of this triangular prism.

Answers

Answer:

408 squared units

Can you help me please. Hint it's not 18!!!!!✌✌

Answers

Answer:

14

Step-by-step explanation:

15 × 2 = 306 × 2 = 12That gives you 5/15 remaining for the 30/35 which is 1/31/3 of six is 2that would be 12 + 214 would be the amount of red paint needed

Answer: it is b

Step-by-step explanation: because you are trying to find the total of red paint

Find m∠YOZ in the figure if m∠XOZ = 86°.

Question 1 options:

A)
65°

B)


C)
42°

D)
43°

Answers

One part of the angle is 3x, and the other part is 6x+23, so putting them together gets 9x+23=86. Subtract the 23 and we get 9x=63. We know that 9•7=63, so x=7, and now we can solve the angle. 6x=42, and 42+23=65, so the answer is:

A) 65°

Answer:

A. 65

Step-by-step explanation:

First, you would need to find x.

You would combine both equations it would become, 6x+23+3x=86.

Then, combine like terms, 9x+23=86.

And subtract 23 from both sides, 9x = 63.

Lastly, divide both sides by 9.

x = 7

Now with the equation 6x+23, you replace x with 7, 6(7)+23.

Then multiply 42+23, and add 42+23= 65.

Work out the value of a

Answers

Answer:

a=30

Step-by-step explanation:

I don't say you must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...

The value of a is 30 degree

hope it helps..

Good luck on your assignment

Alan can run 5 miles in 40 minutes. If he maintains the same pace, what is the greatest number of miles he can run in 160 minutes?

A. 40

B. 60

C. 20

D. 30

Answers

(c) 20 ; each mile takes 8 minutes, therefore if you divided 160 by 8 your product would be 20

Answer:

C)20

Step-by-step explanation:

Cuz 160/8 is 20

Which number produces an irrational number when multiplied by 0.4?

Answers

Answer:

B unless it isnt

Step-by-step explanation:

B- some long decimal

(It’s pi. I hate pi.)

Select the function that represents the simple interest formula.
O A. A(n) = (n - 1)(P..)", where n is any real number
O B. A(n) = P+(n-1);• P, where nis a positive integer
O C. A(n) = + (P-1)/• P, where n is a positive integer
O D. A(n) = P(1 + )" – 1, where n is any real number

Answers

Answer: B- A(n) = P+(n-1)i•P, where n is a positive integer

Step-by-step explanation:

Answer: It is B have a nice day

Step-by-step explanation:

help! plz and thx! what is 4:08 - 1:15 = ?:? plz, help WITH AND WITHOUT REGROUPING thx!!!!!!! I will give u the brainiest! plz and thx!

REMEMBER... I WILL GIVE U THE BRAINLIEST!!!!!!!

Answers

Answer:

2:53

Step-by-step explanation:

I believe that you are subtracting times here, so have in mind that if the first number indicates hours, and the second number minutes, and you are asked to subtract more of one quantity (minutes for example) than what you have, you will need to convert some of the hours into minutes.

Recall that 1 hour equals 60 minutes.

in the difference   4:08 minus 1:15, you sre expected to subtract minutes from minutes and hours from hours. Now the number of minutes you need to subtract from 08 is 15 (larger than 08) so we need to convert 1 hour into minutes in the first expression, and then (with enough minutes to deal with), we can subtract:

4:08 is the same as 3:68 where we converted 1 hour to 60 minutes and added those 60 minutes to the existing 8 .

Now the difference can be performed:

3:68 - 1:15 = (3-1):(68-15) = 2:53

29 40 40 40 40 41 51 56 62 63 whats the interquarile range​

Answers

Answer:

At a glance, we use the middle values and not sure if you have made the outer quartile numbers inclusive.

Based on you doing so we take the 56-40 = 16 range

If you haven't included outside numbers

We take the 63-29 = 34 range

Step-by-step explanation:

What is the surface area of the regular pyramid given below?
A. 144 units2
B. 352 units2
C. 176 units2
D. 208 units

Answers

Answer:

The surface area of the pyramid is 208 units²

Step-by-step explanation:

Luckily, since this is a square pyramid, we only need to find two numbers. These two numbers are the area of the base and the area of one triangular side. After we find them, we need to add them all together.

First, the base:

Since it's a square, we can just do 8 · 8 and get 64. Now we have one of the two needed numbers.

Second, one of the triangles:

To start, we multiply the base (8) by the height (9) giving us 72. After we divide that by 2, we have the area of the triangle, which is 36. Now we have the second number down. Now we can...

Finally, add them all together:

Now that we have the area of the base (64) and one of our triangles (36), we need to add them together. We add the base once and the triangle four times (because there are four triangles) to get the total surface area. Our expression looks like this:

64 + 36 + 36 + 36 + 36

After doing some simplifying, we get our final number, 208.

The surface area of the pyramid is 208 units²

The surface area of the regular pyramid in the diagram is 208 units².

What is the Area of a Pyramid?

The surface area of the pyramid = Sum of area of the triangular faces + Area of the square base.

Surface area of the pyramid = 2bh + b²

Where b is the base

and h is the perpendicular height of each triangular faces

In the given diagram,

b = 8

h = 9

∴ Surface area of the pyramid = 2×8×9 + 8²

Surface area of the pyramid =  144 + 64

Surface area of the pyramid = 208 units²

Hence, the surface area of the regular pyramid in the diagram is 208 units².

Learn more on Calculating area of Pyramid here: brainly.com/question/22744289

#SPJ7

please help! 10 points! its quite easy but im lazy What is the value of x in the equation 4(2x + 14) = 0? (1 point)

Answers

Answer:

[tex]x=-7[/tex]

Step-by-step explanation:

[tex]4(2x + 14) = 0[/tex]

[tex]8x+56 = 0[/tex]

[tex]8x=-56[/tex]

[tex]x=-56 \div 8[/tex]

[tex]x=-7[/tex]

Answer:4(2x+14)=0

8x+56=0

8x=-56

x=-7

Tristan is working two summer jobs, making $7 per hour babysitting and $19 per hour lifeguarding. Tristan must earn at least $210 this week. Write an inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours lifeguarding, ll, that Tristan can work in a given week.

Answers

Answer: 7bb +19 ll ≥210

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

The product of the number of hours he works babysitting (bb) and the amount he earns per hour (7); plus The product of the number of hours he works lifeguarding (ll) and the amount he earns per hour 19; must be higher or equal to the amount he must earn this week (210)

Mathematically speaking:

7 bb + 19 ll ≥210

The answer ;))))))))

Answers

Sorry I don’t have paper and pen right now but half the diameters and do the formula pie r(radius) squared

Answer: option C: A1 = 50.3 in2; A2 = 113.1 in2; A3 = 176.7 in2

Step-by-step explanation: Please see the image below!

If Larry gets 5% of 80 questions wrong, how many did he get correct? Provide an explanation :)

A. 8
B. 70
C. 4
D. 76

Answers

Answer:

The answer is D.

Step-by-step explanation:

Given that Larry wrong 5% of the questions and he correct the remaining 95%. So in order to find how many questions he correct, first, you have to convert the percentage to decimal by dividing it by 100 :

[tex]95\% = \frac{95}{100} = 0.95[/tex]

Next, you have to multiply by the total number of questions :

[tex]0.95 \times 80 = 76 \: questions[/tex]

5% of 80 is 4, so he got 4 wrong
80-4=76
he got 76 correct

I don’t need you to explain just answer.

Answers

Answer:

Simplify the expression.

i could not type in exponent so just open the screen shot

Step-by-step explanation:

i Hope it works

Consider the tables that represent ordered pairs corresponding to a function and its inverse. When comparing the functions using the values in the table, which conclusion can be made? According to the tables, f(x) does not have a y-intercept. According to the tables, f–1(x) does not have an x-intercept. The domain of f(x) is restricted such that x ≥ 0, so the domain of f–1(x) is restricted such that y ≥ 0. The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.

Answers

Answer:

D)The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.

Step-by-step explanation:

The missing tables are:

First table  

x:    0  1    2

f(x): 1   10  100

Second table

x:         1000   100   10

f^-1(x):  3          2       1  

Option A is not correct because f(x) has a y-intercept at (0, 1)

If f(x) has a y-intercept, then f^-1(x) has a x-intercept, which is located at (1, 0). Then option B is not correct

Option C is not correct because the domain of f^-1(x) is associated with x values.

Option D is correct because the domain of f(x) is the range of f^-1(x) and vice versa

Answer: D

The range of f(x) includes values such that y ≥ 1, so the domain of f–1(x) includes values such that x ≥ 1.

Step-by-step explanation:

PLEASE HELP ME OUT. THIS IS DUE TODAY.

Answers

Answer:

Round up because it is necessary to count the extra decimal payment as another payment. You can't round down because then it wouldn't all be paid off.

Which angles are acute?
А в
H
Check all that apply.

Answers

Answer:

The answer is A and D.

Step-by-step explanation:

Acute angles are angles that are less than 90°.

0° < θ < 90°.

So by looking at the diagram, any angles that are smaller than a L-shaped(90°) are all acute angle.

A, and d, an acute angle is “cute” it’s smaller than 90°

Seven plus five times a
number is greater than or
equal to negative nine.

Answers

Answer:

The number -1 will give you more than -9

Step-by-step explanation:

5+7= 12 x -1= -12 more than -9

hope this helps!

The solution to the inequality will be x ≥ ( -16 / 5 ).

What is inequality?

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to, > ‘greater than, or < ‘less than.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given inequality is Seven plus five times a number is greater than or

equal to negative nine.

The inequality will be solved as below:-

7 + 5x ≥ -9

5x ≥ -16

x ≥ -16 / 5

Therefore, the solution to the inequality will be x ≥ ( -16 / 5 ).

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ2

Given f(x) = –2x + 2, find f(6).

Answers

Answer:

-10

Step-by-step explanation:

_________________________________

Solution,

f(X)= -2x+2

f(6)= -2*6+2

= -12+2

= -10

So the right answer is -10.

hope it helps

Good luck on your assignment

______________________________

I need help cause I don’t understand the concept

Answers

Answer:

make a graph based on the equation

Step-by-step explanation:

then match the graph you made to the answer choices

8 - n = -4 what does N equal

Answers

Answer:

Make N alone

There is an 8 so we subtract 8 from both sides so the equation is still equal

-4 - 8 = -12

Because we are subtracting N it is positive

N = 12

8 - 12 = -4

Hope this helps

Step-by-step explanation:

Tommy tosses a penny 100 times. He finds that when he tossed the penny it landed heads 38 times. Tommy thinks he tossed the penny the wrong way.

is this theoretical or experimental
any why?

Answers

Answer:

Experimental

Step-by-step explanation:

It is not a theory he actually tossed the penny

Carl bought 17 packs of baseball cards at a flea market, at a total cost of $37.91. If each pack of cards cost the same amount, how many much de each pack cost

Answers

Answer:

[tex]=2.23[/tex]$

Step-by-step explanation:

[tex]\frac{37.91}{17}\\\mathrm{Divide\:the\:numbers:}\:\frac{37.91}{17}=2.23\\=2.23[/tex]

Answer:

$2.23

Step-by-step explanation:

17 packs = $37.91

/17. /17.

1 pack = $2.23

In the function f(x) = x^2 - 2x + 3, what is f(2)?

Answers

The right answer is -3.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment


Matching mathematical terms and definitions

Answers

Piece of line with two endpoints = line segment

Two rays with common endpoint = angle

Piece of line with one endpoint = ray

All coplanar points equidistant from a given point = circle

----------

side note: you could use two lines or segments to construct an angle. You don't necessarily have to use two rays.

What is an equation of a circle with center (2, -1) that passes through the point (3, 4)?

Answers

Answer:

(x - 2)^2 + (y + 1)^2 =  26

Step-by-step explanation:

A circle with center O(2, -1) that passes through the point A(3, 4).

=> The radius of this circle is OA which could be calculated by:

OA = sqrt[(3 - 2)^2 + (4 - (-1))^2] = sqrt[1^2 + 5^2] = sqrt[26]

The equation of a circle with center O(a, b) and radius r could be written as:

(x - a)^2 + (y - b)^2 = r^2

=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:

    (x - 2)^2 + (y - (-1))^2 = (sqrt(26))^2

<=>(x - 2)^2 + (y + 1)^2 = 26

Hope this helps!

Answer:

(x-2)²+(y+1)²=26

Step-by-step explanation:

(x-2)²+(y+1)²=26

distance formula for radius

√(3-2)²+(4--1)² = √26

(x-h)²+(y-k)²=r²

What is 3 to the tenth power

Answers

Answer: 59049

Step-by-step explanation: 3 to the power of 10 = 310 = 59049.

( I hope this helped <3 )

The number 3 raised to the power of 10 (that is [tex]3^{10[/tex]) is calculated as: 59,049.

How to find the tenth power of a number?

The step-by-step calculation for 3 to the tenth power ([tex]3^{10[/tex]) is shown and explained below:

Start with the base number, which is 3.

Multiply the base number by itself to the power of 1:

[tex]3^1[/tex] = 3

Continue multiplying the result by the base number for each subsequent power:

3² = 3 × 3 = 9

3³ = 3 × 3 × 3 = 27

[tex]3^4[/tex] = 3 × 3 × 3 × 3 = 81

[tex]3^5[/tex] = 3 × 3 × 3 × 3 × 3 = 243

[tex]3^6[/tex] = 3 × 3 × 3 × 3 × 3 × 3 = 729

[tex]3^7[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 = 2,187

[tex]3^8[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 6,561

[tex]3^9[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 19,683

[tex]3^{10[/tex] = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 59,049

Therefore, 3 raised to the power of 10 is equal to 59,049.

Learn more about powers on:

https://brainly.com/question/29006727

#SPJ6

which of the following best describes a line

Answers

I would answer, but you didn't give any options.

i would say go for the option that is closes to :

" A line is a straight collection of points that goes on forever in two directions."

write a formula that will yield the nth term of the sequence: 3,-2,-7,-12

Answers

Answer:

-5n + 8

Step-by-step explanation:

1. What is the difference?

  The sequence goes down by 5. This means that the formula will have -5n in it.

2. Work out the term before the first term.

    The first term is 3, and we know that the sequence goes up by 5. So, to get the term before 3 we would add 5.

3 + 5 = 8   Remember, this is positive 8. (+8)

3. Put that term at the end of the equation.

   We have -5n already and we just worked out the term before the first one which is positive 8 - so put that at the end of the equation.

-5n + 8  This is our answer!

Just to prove it works:

Substitute:   n = term

Lets see if we can get the 3rd term which is -7. (n = 3)

-5(3) + 8

-15 + 8 = -7

See, it works!

Other Questions
The following data summarizes results from 945 pedestrian deaths that were caused by accidents. If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was intoxicated or the driver was intoxicated. Pedestrian intoxicated not intoxicated Driver intoxicated 64 68 not intoxicated 292 521 If a person wants to decrease their caloric and fat intake, but not reducetheir calcium intake the most healthy way to do this is...*-switch from full fat to low fat dairy products-eat cheese regularly-snack on fruit between meals-drink soda PLZZZZZZZZZZZZZZZZZ HELP MEEEEEEEEEEEEEEEEEEEEEEA quadrilateral has two pairs of parallel sides. The opposite angles in the quadrilateral are congruent but do not measure 90 degrees. Which of the following best describes the quadrilateral? A.square B.parallelogram C.trapezoid D.rectangle Look at this calendar, read, and choose the right answer. Calendar of October with the 12th highlighted and text La Fiesta Nacional Qu da es La Fiesta Nacional en Espaa? Es el diez de octubre. Es el trece de octubre. Es el doce de octubre. Es de catorce el octubre. what is light rays ? A ball is thrown upward with ten units of momentum initially. What is the recoil momentum of the earth? Why do we not feel this? Read the excerpt from Fitzgerald's The Great Gatsby.My own house was an eyesore, but it was a small eyesore, and it had been overlooked, so I had a view of the water, apartial view of my neighbor's lawn, and the consoling proximity of millionaires -all for eighty dollars a month.Across the courtesy bay the white palaces of fashionable East Egg glittered along the water, and the history of thesummer really begins on the evening I drove over there.The contrast created between East Egg and West Egg suggests thatthe main character feels comfortable in all social situations.Nick will experience a series of financial pitfalls as the story unfolds.the story's conflict will be based on wealth and appearances.the story will be presented from a number of differing perspectives. write eight hundred and seven thousand, two hundred and five in figures How many combinations of 3 balloons can be chosen from 4 balloons? Explain the relationships between five members of a food web. Include at least one producer and one high-level consumer Select the correct answer,Why were Abraham's people called the Israelites?AOne of Abraham's descendants was named Israel,B, Abraham migrated to the Israel region from Ur.C,Israel was another name for Abraham,DIt was a name given to them by the Romans, E Abraham chose the name from the Hebrew Bible, what is the answer for AC = A gaseous hydride of Nitrogencontains its own volume of Nitrogenand twice its volume of Hydrogenand has vapour density 16. Theformula of the hydride is.Select one:a. NH2b. NH3c. N3H d. N2H4 Why does the declaration of independence list grievances against King George the thirdTo explain why colonist had begun to protest around the coloniesTo give colonist hope that the current system of government might changeTo prove that the colonist have no choice but to speak independenceTo give the king one last chance to change his policies and avoid war SHComplete each step in the following solution.10x + 8 = 3(x - 2)10x + 8 = 3xDONE7x=DONEx= -2 Multiple organs which are engaged in a specific process form a(n) ??? A sphere has a surface area equal to 125 square feet. Find the length of the diameter of the sphere. Round your answer to the nearest hundredth. Use 3.14 to approximate pi. Write 150 as a product of primes. Use index notation where appropriate. Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval.x4 + x ? 7 = 0, (1, 2)f(x) = x4 + x ? 7is (FILL IN)a) defined b) continuous c) negative d) positive on the closed interval [1, 2],f(1) = ?? FILL IN , and f(2) = ?? FILL INSince ?5 < FILL IN a)? b)? c)? d)0 < 11, there is a number c in (1, 2) such thatf(c) = FILL IN a)? b)? c)0 d)11 e)-5by the Intermediate Value Theorem. Thus, there is a FILL IN a) limit b)root c) discontinuity of the equationx4 + x ? 7 = 0in the interval (1, 2). Why did many countries choose to become nonaligned during the Cold War?