Find the common difference for an arithmetic series with
a1=5 and S10 = 320.

Answers

Answer 1

Answer:

6

Step-by-step explanation:

Let [tex]n = a_{10}[/tex]. We know the formula for the sum of an arithmetic sequence is:

[tex]S_{n} = \frac{n(a_{1}+a_{n} )}{2}[/tex]

Where n is the number term you are finding the sum up to, a1 is the first term, and an is the nth term. We can substitute what we have:

[tex]320=\frac{10(5 + n)}{2}[/tex]

[tex]640=10(n+5)\\64=n+5\\n=59[/tex]

The formula to find the nth term of an arithmetic series is:

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

Where d is the common difference. Again, we can plug in what we have;

[tex]59 = 5 + 9d\\9d = 54\\d = 6[/tex]


Related Questions

A fair die is rolled once. Let A be the event of rolling an even number, and let B be the event of rolling a number greater than 3. Find A ∩ B

Answers

Answer:

A ∩ B = {4, 6}

Step-by-step explanation:

A die had 6 faces

S = {1, 2, 3, 4, 5, 6}

If A  be the event of rolling an even number, then;

A = {2, 4, 6}

If B be the event of rolling a number greater than 3, then;

B = {4, 5, 6}

A ∩ B are the values that are common to both sets

A ∩ B = {4, 6}

From a stick 2y metres long, I cut a piece of length 4y centimetres. What fraction of the original stick remains?

None of these
49/50
-1/2y
-2y

Answers

Answer:

-1/2y

Step-by-step explanation:

2/4  =  1/2

Jack is building a rectangular fence for his ferret. He has 20 feet of fencing and wants the short side of the fence to be 7 2 feet. How long will the other side of the fence be? Write the answer in decimal form. The long side will be feet.

Answers

Answer:

6.5 feet

Step-by-step explanation:

The guy above me is correct its 6.5 feet

please help!!! i will mark brainliest!!

Answers

Answer:

A. 96

C. 48

D. 24

Step-by-step explanation:

Multiples of 8

8 = 8, 16, 24, 32, 40, 48, 56, and 64, 72, 80, 88, 96, 104,.......

Multiples of 12

12 = 12, 24, 36, 48, 60, 72, 84, 96, 108,........

Common multiples of 8 and 12 = 24, 48, 72 and 96

The correct answers are:

A. 96

C. 48

D. 24

what is the length of side AC to the nearest tenth? (giving brainliest and thanks to all!)

Answers

Pythagorean Theorem.

21^2 - 15^2 = x^2

X^2 = 216

X=14.7

How does this make you feel?

Answers

Answer:

sad to be honest

Step-by-step explanation:

Answer:

yo lemme stand in that dark door way

there

Step-by-step explanation:

the diagram below shows the path a bird flies from the top of a 9.5 foot tall sunflower to a point on the ground 5 feet from the base of the sunflower. to the nearest tenth of a degree what is the measure of angle x?

Answers

Answer:

Step-by-step explanation:

You spin the spinner, flip a coin, then spin the spinner again. Find the probability of spinning an odd number, flipping heads, then spinning another even number.

Answers

Answer:

spinng of an odd number -50%

fliping heads - 50%

spinin an even number- 50%

Step-by-step explanation:

If x = 9 when y = 36 and x is directly
proportional to y, what is x when y= 6?

Answers

Answer:

[tex]x = 1.5[/tex]

[tex]Explaination :\\\frac{36}{9} = 4\\\frac{6}{4} =1.5\\Answer = 1.5[/tex]

Answer:

x = 1.5

Step-by-step explanation:

[tex]\frac{9}{36} :\frac{x}{6}[/tex]

Cross multiply.

36 · x = 9 · 6

Simplify.

36x = 54

Divide each side by 36.

36x ÷ 36 = 54 ÷ 36

Simplify.

x = 1.5

Find the measure of the arc TDB in the circle P shown below:

Answers

[tex]\huge{ \mathfrak{  \underline{ Answer \:  \:  ✓ }}}[/tex]

The Angle formed by an arc on the centre of the circle is double the angle made by the same arc on the circumference of the circle.

So,

[tex] \boxed{ \mathrm{ \angle TDB = \dfrac{1}{2} \angle TPB }}[/tex]

[tex] \mathrm{\angle TDB = \dfrac{1}{2} \times 90 \degree}[/tex]

[tex] \mathrm{\angle TDB =45 \degree } [/tex]

_____________________________

[tex]\mathrm{☠ \: TeeNForeveR \: ☠}[/tex]

If f(x) 2(3x) 1, what is the value of f(2)?

Answers

⟱ ANSWER ⟱

f(x)= 2 (3x) +1f(2)=2(3×2)+1f(2)=2(6)+1f(2)=12+1f(2)=13

So the ans is 13

HOPE IT HELPS U !!!!!!(:

Which answer choice represents the difference of 20 and 3 times a number?
A. 3j + 20
B. 20(3j)
C. 20 – 3j
D. (20 · 3)j

Answers

Answer:

C

Step-by-step explanation:

The word “difference” tells us that this is a subtraction problem

the words “three times a number” tells us that the variable will be multiplied by three

therefore it is C, 20-3j

Janice has a pasta recipe that calls for 2oz. Of cheese for every 3 oz. of cooked pasta find the graph that shows their relationship between cheese and pasta

Answers

where is the graph ?

Aisha and some friends are going to the movies. At the theater, they sell a bag of
popcorn for $3.75 and a drink for $5. How much would it cost if they bought 5 bags of
popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and
d drinks?

Answers

Answer:

price of 5 bags of popcorn = 3.75 x 5 = 18.75

price of 8 drinks = 5 x 8 = 40

price of p bags of popcorn = 3.75 x p

price of d drinks = 5 x d

If the length of qr is 8 cm and the length of qs is 12 cm, what is the length of rs? No links Pls

Answers

Answer:

8.94

Step-by-step explanation:

Given that

qs = 12cm

qr = 8cm

Required  

rs

Using the pythagoras theorem

Let us assume qs is the hypotenuse side

qs² = qr² + rs²

12² = 8² + rs²

144 = 64 +rs²

rs² = 144 - 64

rs² = 80

rs = √80

rs = 8.94

Hence the value of rs is 8.94

fractions are equal to 12 /18 is

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

         2/3 =   4/6 =   6/9        =  8/12

= 10/15 = 12/18 = 14/21 = 16/24

= 18/27 = 20/30 = 22/33 = 24/36

= 26/39 = 28/42 = 30/45 = 32/48

= 34/51 = 36/54 = 38/57 = 40/60

= 42/63 = 44/66 = 46/69 = 48/72

= 50/75 = 52/78 = 54/81 = 56/84

= 58/87 = 60/90 = 62/93 = 64/96

= 66/99 = 68/102 = 70/105 = 72/108

= 74/111 = 76/114 = 78/117 = 80/120

= 82/123 = 84/126 = 86/129 = 88/132

= 90/135 = 92/138 = 94/141 = 96/144

= 98/147 = 100/150 = 102/153 = 104/156

= 106/159 = 108/162 = 110/165 = 112/168

= 114/171 = 116/174 = 118/177 = 120/180

= 122/183 = 124/186 = 126/189 = 128/192

= 130/195 = 132/198 = 134/201 = 136/204

= 138/207 = 140/210 = 142/213 = 144/216

= 146/219 = 148/222 = 150/225 = 152/228

= 154/231 = 156/234 = 158/237 = 160/240

= 162/243 = 164/246 = 166/249 = 168/252

= 170/255 = 172/258 = 174/261 = 176/264

= 178/267 = 180/270 = 182/273 = 184/276

= 186/279 = 188/282 = 190/285 = 192/288

= 194/291 = 196/294 = 198/297 = 200/300

find the total surface area of a triangular prism 17cm 8cm 7cm 15cm

Answers

Answer:

hey I don't know which one is the hight

I NEED THIS BY TODAY!!

Answers

Step-by-step explanation:

[tex](1. \: x = - \frac{y}{3} [/tex]

[tex](2. \: x = \frac{22 + 3y}{2} [/tex]

I think this is correct and what you wanted

2x-3(-3x)=22
2x+9x=22
11x=22 and divide eleven on both sides leaving x=2

Answer each part below using only mental math, and describe your method. a. If 39 is 1% of a number, what is that number? How did you find your answer? b. If 39 is 10% of a number, what is that number? How did you find your answer? c. If 39 is 5% of a number, what is that number? How did you find your answer? d. If 39 is 15% of a number, what is that number? How did you find your answer?

Answers

Answer:

Step-by-step explanation:

Given:  39 = 0.01n

Move the decimal point on each side two places to the right:  3900 = n

Find the measure of ZBAC. (The figure is not drawn to scale.)
70
с
A
70
B
140
С
20
D
35

Answers

35 degrees I would say.

how to solve 6x - 9 - 2 (1 - x) = x + 9​

Answers

[tex]x = 2.857[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]6x - 9 - 2(1 - x) = x + 9 \\ ⇢ 6x - 9 - 2 + 2x = x + 9 \\ ⇢ 8x - x = 9 + 11 \\ ⇢ 7x = 20 \\ ⇢  x = \frac{20}{7} \\ ⇢ x = 2.857[/tex]

[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]

[tex]6 \times 2.857 - 9 - 2(1 - 2.857) = 2.857 + 9 \\ ➪ \: 17.142 - 9 - 2 \times( - 1.857) = 11.857 \\➪ \: 8.142 + 3.714 = 11.857 \\➪ \: 11.856 = 11.857 \\ ➪ \: 11.86 = 11.86 \\ ➪ L.H.S.=R. H. S [/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

mrs. wilson placed the welcome mat shown below on her front door step. what is the area of her welcome mat in square feet?

Answers

Answer:

12.56 square feet

The sum of the ages of Mark, Tim and Jane is 39. In 5 years, the ratio of Mark's
5 age to
Tim's age to Jane's age will be 10:9:8. How old is Mark now?
A.
В.
C.
D.
15
14
13
20​

Answers

Answer:

A. 15

Step-by-step explanation:

10 : 9 : 8

Mark: 10x

Tim: 9x

Jane: 8x

(10x - 5) + (9x - 5) + (8x - 5) = 39

10x - 5 + 9x - 5 + 8x - 5 = 39

27x - 5 - 5 - 5 = 39

27x - 15 = 39

27x - 15 + 15 = 39 + 15

27x = 54

27x ÷ 27 = 54 ÷ 27

x = 2

Mark: 10x - 5

10x - 5

10(2) - 5

20 - 5

15

What is the area of the figure? (PLSSS HELP QUICKLY!!)

Answers

Answer:

416 cm^2

Step-by-step explanation:

The formula for the area of a trapezoid is:

[tex]\frac{(b1+b2)*h}{2}[/tex]

where b1 and b2 are the bases and h is the height. We can plug what we have into the formula:

[tex]\frac{(14 + 38)*16}{2}[/tex]

[tex]\frac{(52)*16}{2}[/tex]

[tex]52*8[/tex]

416 cm^2

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer: 120 cubed inches

Step-by-step explanation:

First, multiply them all together. 6x10x2 = 120 cubed inches

Caity is 50 inches tall. Caity's brother Michael is 5 inches taller than she is. What is Michael's height in feet and inches?

Answers

Answer:

55 inches = 4 feet 7 inches

Step-by-step explanation:

Because Michael is 5 inches taller so 50+5=55, then divided by 12 = 4 remainder 7. So that means Michael is 55 inches tall, or 4 feet and 7 inches

please help quickly pls D:

Answers

the fourth one best summarizes the passage

HELPP i'll give brainliest for the CORRECT answer

Answers

Answer:

a = 105 in²

Step-by-step explanation:

Front and back, triangles

a = 2 * (1/2)(5 * 6)

a = 30

Sides, squares

a = 3 * (5 * 5)

a = 75

Total

a = 30 + 75

a = 105 in²

A line segment has endpoints at (-7, 2) and (8,8). What is the x-coordinate of the point on the line segment that is the distance from (-7, 2) to (8,8)?​

Answers

Answer:

Sorry dud it been long time I've not answered 0ne

Answer:

Heyy

Step-by-step explanation:

Did ya get the answer ???

PELASE HELP ME I NEED HELP
1-Which or the following ratios are equivalent?


2-find this area.


3-what is the area of this trapezoid?

Answers

Answer:

1) 22:14 and 11:7

2) 39m^2

3) 39cm^2

Other Questions
An amoeba is only made up of one cell. This means that the amoeba is...A. multicellularB. unicellular Determine the missing side length of the triangle please and thank you! Mark and Anthony are business partners of a franchised bakery. They have reached the end of the current financial year, and they assume that they must pay taxes. Since they have a partnership agreement, what must they submit?A. Income tax returnB. information returnC. IRS tax claimD. article of organizationE. policy document A plot of binding energy per nucleon (Eb/ A) versus the mass number (A) shows that nuclei with a small mass number have a small binding energy per nucleon, as the mass number increases the binding energy per nucleon increases, and the value for the binding energy per nucleon has a maximum value for nuclei with a mass number around 60. Verify that this is the case by determining the binding energy per nucleon for each of the following four nuclei. (Let the mass of a proton be 1.0078 u, the mass of a neutron be 1.0087 u, the mass of 2H be 2.0141 u, the mass of 7Li be 7.0160 u, the mass of 62Ni be 61.9283 u, and the mass of 110Cd be 109.9030 u.a. 2Hb. 7Lic. 62Nid. 110Cd What is the value of S ? Which of the following kingdoms does not belong with Domain Eukarya?Kingdom PlantaeKingdom EubacteriaKingdom FungiKingdom Animalia Pregnancy comes with a unique set of diet and lifestyle guidelines. Some substances are particularly beneficial for the mother or baby, others are harmful, and some should be used with caution. a. Trueb. False Globalization is the connectedness around the world.true or false? Select all that apply. If the Cold War was not fought directly between the US andSoviet Union, how did they "compete"? * PLEASE HELP ME!!! ILL GIVE BRAINLIEST IF ITS RIGHT Assume the total cost of a college education will be $184,061 when your child enters college in 19 years. You presently have $49,327 to invest. What annual rate of interest must you earn on your investment to cover the cost of your child's college education? Enter answer as 3 decimal places (e.g. 0.123) My essay so far: Why phony content is hazardous! There is an immense sum of data on the cyberspace, although not all of it is accurate. Regrettably, social media users frequently cannot tell whether the content they look at is false or true. This commentary illuminates wherefore it is vital to fact-verify the information you see on the cyberspace. There is an immense sum of information on the cyberspace, although not all of it is accurate. This is information from How trust Worthy is Social Media?, So how do you tell truth from lies online? A group of researchers in Chile started analyzing news on Twitter after a devastating earthquake in Santiago in 2010. They learned that false tweets tend to include question marks or exclamation points. True tweets tend to be longer, include links, and come from users with more followers. If youre unsure whether a post youre seeing is true or not, check it out on snopes.com or factcheck.org. This means, most videos on the internet people are lying and this is how you can figure out if it is true or not. This also lets you know, if there are groups of people trying to expose people for lying on the internet, there must has to be a lot of influencers doing it too. Therefore, you cannot trust all information on the internet. In Digital Detectives, it states, "In August 2017, while Texas was being rocked by Hurricane Harvey, an image was posted to Twitter. It looked like it had been taken from the drivers seat of a car. Outside, the road was flooded, and there was a shark in the water. The post read: Believe it or not, this is a shark on the freeway in Houston, Texas. It was liked 142,000 timesbut the photo wasnt real. It was made with photo-editing software, and had first appeared online in 2011." This means that she photoshopped this picture to look like there was a shark on the freeway for "likes," and "followers," although this was not real/false. This also shows/tells you to not listen to everything people post on the internet. Credits to advanced video editing software, additional citizens than ever can be capable of making deepfake films that seem like actual tape of notorious individuals expressing things they have not once stated. My evidence here is from Fakeout, "Deepfakes are videos with visual or audio content that has been manipulated. They make it seem as if the videos subject is saying words he or she has not actually spoken. In the past, videos like these could be made only by trained special-effects artists or video editors. Now, anyone with the time and the right tools can make a convincing deepfake." The author of this is sarcastically says thanks to the people who created apps where you can create deepfakes, and put fake things on videos to make them seem like the person said it.Could someone give me feedback and give me a conclusion paragraph? Help will be appreciated About 5% of hourly paid workers in a region earn the prevailing minimum wage or less. A grocery chain offers discount rates to companies that have at least 30 employees who earn the prevailing minimum wage or less. Complete parts (a) through (c) below. a. Company A has 285 employees. What is the probability that Company A will get the discount? (Round to four decimal places as needed.)b. Company B has 502 employees. What is the probability that Company B will get the discount? (Round to four decimal places as needed.)c. Company C has 1033 employees. What is the probability that Company C will get the discount? (Round to four decimal places as needed.) When aqueous solutions of potassium nitrite and nitric acid are mixed, an aqueous solution of potassium nitrate and nitrous acid results. Write the net ionic equation for the reaction. Is the answer to this question right? (X+4) (3x)(Help answer this ) Who created better reforms and policies for Rome, Julius or Augustus Caesar a sale is made at a lumber company for goods costing a total of $13,359 (which includes 9.5% sales tax). in the books of the lumber company revenue should be credited for what amount Your friend Ira describes the Hagia Sofia to you in great detail. It combines the structure of the earlier basilicas with a huge dome over the nave. Half domes at each end transform the once long, rectangular nave into an oval. The mosaics in this cathedral-turned-mosque once included depictions of Jesus, the Virgin Mary, saints, angels, and emperors. He asks you what type of architecture this is. What type of architecture would you MOST LIKELY conclude this is?