5. Here are the first four terms of an arithmetic sequence: 6, 10, 14, 18..
a) First the sum of first 30 terms of the sequence.

Answers

Answer 1

Answer:

it hard too

Step-by-step explanation:

it's hard also so

Answer 2

Answer:   180

an = a1 + (n - 1)d

a1 = 6 [1st term]

d = 4 [common difference]

n = 30 [30th term]

a30 = 6 + (30 - 1)*6 = 180


Related Questions

if in one batch of cookies, you use 6 cups of dough and 2 cups of chocolate chips
how many cups of chocolate chips will you need to make two batches of cookies

Answers

Answer:

4cups of chocolate chips

Hope I helped

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2 cups times two recipes

2x2=4

solve each system of equation by graphing

3x-5y=15
y=2x+4

Answers

brown skin girl brown skin just like pearls

Answer:

Solution: (-5,-6)

Graph:

A circle has a diameter of 43cm, what is it's radius?​

Answers

Answer:

21.5

Step-by-step explanation:

Hey there !!!!

to find the radius just divide by 2 because radius is the half of diameter:

43 / 2 = 21.5

( for correct divison add 21.5 + 21.5 = 43 )

hope it helped !!!

32 feet long and 6 yards wide what is the perimeter in feet

Answers

Answer:

100

Step-by-step explanation:

1 yard = 3 feet

6 yards = 18 feet

(18*2)+(32*2)

36+64

100

Answer:  The perimeter is a 100 feet.

Step-by-step explanation:

If it is 32 feet long and 6 yards wide then I am thinking that the shape will be a rectangle.

To find the shape of a rectangle, you can use the formula,  P = 2l+2w  were P is the perimeter, l is the length, and w is the width.  

But first since feet and yards are different measurements, and the question is asking for the perimeter in feet, then you will first have to convert 6 yards to feet.  

6 yards = 18 feet  

This means that the sides  will be 32 feet long and 18 feet wide.

Now using the formula, input 32 for L and 18 for W and solve for P the perimeter.

 P  = 2(32) + 2(18)

P = 64+ 36

P = 100  

can someone help please!!

Answers

Answer:

x=106

Step-by-step explanation:

106, the sum of all the angles is 360, so add all the others, and figure out how many more you need to make 360.

A sweater is on sale for 40% off the original price of $44. What is the sale price of
the sweater?
O A. $26.40
O B. $17.60
O C. $61.60
O D. $8.70

Answers

Answer:

the answer is B.$17.60

Answer: $17.60

Step-by-step explanation:

0.4(40/100)* 44= $17.60

Evaluate when x = -3 and y= -1:

Answers

Answer:

-3 + -1

Step-by-step explanation:

NEED HELP NOW! 5 questions, 76 points!


1.
Given points B(−12,2), T(−8,10), A(−7,12), F(−6,10), and G(−2,2), which of the following proves that △BAG~△TAF?


2.
Given points A(2,1), B(1,4), C(−1,10), D(8,13), and E(4,5), which of the following proves that △ABE~△ACD?
Answers:

By the Distance Formula,AB=310‾‾‾√,AC=10‾‾‾√, AE=65‾√, and AD=25‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SAS ∼.


By the Distance Formula,AB=310‾‾‾√,AC=10‾‾‾√, AE=65‾√, and AD=25‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SSS ∼.

By the Distance Formula,AB=10‾‾‾√,AC=310‾‾‾√, AE=25‾√, and AD=65‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SSS ∼.

By the Distance Formula,AB=10‾‾‾√,AC=310‾‾‾√, AE=25‾√, and AD=65‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SAS ∼.



3.
Given points M(1,2), N(4,4), P(5,−1), J(−7,−1), K(−1,3), and L(1,−7), which of the following proves that △MNP≈△JKL?
Answers:

By the Distance Formula,MN=13‾‾‾√,NP=26‾‾‾√, and PM=5.Also, JK=213‾‾‾√,KL=226‾‾‾√, and LJ=10.Therefore, MNJK=NPKL=PMLJ=12, andtherefore, △MNP∼△JKL by SAS ∼.

By the Distance Formula,MN=13‾‾‾√,NP=26‾‾‾√, and PM=5.Also, JK=213‾‾‾√,KL=226‾‾‾√, and LJ=10.Therefore, MNJK=NPKL=PMLJ=12, andtherefore, △MNP∼△JKL by SSS ∼.

By the Distance Formula,MN=13,NP=26, and PM=25.Also, JK=52,KL=104, and LJ=100.Therefore, MNJK=NPKL=PMLJ=14, andtherefore, △MNP∼△JKL by SSS ∼.

By the Distance Formula,MN=13,NP=26, and PM=25.Also, JK=52,KL=104, and LJ=100.Therefore, MNJK=NPKL=PMLJ=14, andtherefore, △MNP∼△JKL by SAS ∼.



4.
Given points M(−5,5), R(−2,6), I(−2,4), B(2,−2), A(8,0), and G(8,−4), which of the following proves that △MRI~△BAG?
Answers:

By the Distance Formula,MR=10‾‾‾√,RI=2, and IM=10‾‾‾√.Also, BA=210‾‾‾√,AG=4, and GB=210‾‾‾√.Therefore, MRBA=RIAG=IMGB=10√210√=12,and therefore, △MRI~△BAG by SSS ~.

By the Distance Formula,MR=10,RI=2, and IM=10.Also, BA=40,AG=8, and GB=40.Therefore, MRBA=RIAG=IMGB=1040=14,and therefore, △MRI∼△BAG by SSS ∼.

By the Distance Formula,MR=2,RI=10, and IM=10.Also, BA=8,AG=40, and GB=40.Therefore, MRBA=RIAG=IMGB=1040=14,and therefore, △MRI∼△BAG by SAS ∼.

By the Distance Formula,MR=10‾‾‾√,RI=2, and IM=10‾‾‾√.Also, BA=210‾‾‾√,AG=4, and GB=210‾‾‾√.Therefore, MRBA=RIAG=IMGB=10√210√=12,and therefore, △MRI∼△BAG by SAS ∼.



5.
Given points L(−2,−2), A(−6,−3), U(−14,−5), X(4,−5), and P(0,−3), which of the following proves that △XUL~△PAL?

By the Distance Formula,LX=317‾‾‾√,PL=17‾‾‾√, LA=5‾√, and LU=35‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SSS ∼.

By the Distance Formula,LX=35‾√,PL=5‾√, LA=17‾‾‾√, and LU=317‾‾‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SAS ∼.

By the Distance Formula,LX=35‾√,PL=5‾√, LA=17‾‾‾√, and LU=317‾‾‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SSS ∼.

By the Distance Formula,LX=317‾‾‾√,PL=17‾‾‾√, LA=5‾√, and LU=35‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SAS ∼.

Answers

Answer:

Q1: 5, 5 SAS

Step-by-step explanation:

Q2: 10 sas

Q3:13 sss

Q4: 10 sss

Q5: 35 sas

Find the distance from A to C

Answers

Answer: 11 because the distance between A-B is 8 so because it says it on top, then add 3 to it from B to C

Georgia needed to sell her iPhone. She priced it at
$650 the first day. The second day she reduced the
price by 12%. What was the price of the phone after
this reduction?

Answers

Answer:

572

Step-by-step explanation:

12% of 650 is 78

650 - 78 = 572

ACFG is a parallelogram, If AG = 2x + 10 and CF = 5x – 2, find CF.

Answers

Answer:

d. 18

Step-by-step explanation:

Lengths AG and CF of the parallelogram are equal.

i.e AG = CF

where AG = 2x + 10

          CF = 5x -2

→ 2x + 10 = 5x-2

(collecting like terms): 5x - 2x = 10 + 2

→ 3x = 12

x=12÷3 = 4

∴ CF = 5x -2 = 5(4) -2 = 20 - 2 = 18

CF = 18 (answer)

Question 10(Multiple Choice Worth 1 points)
(05.02 MC)

The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in either college or high school:


High Low Q1 Q3 IQR Median Mean σ
College 50 6 8.5 17 8.5 12 15.4 11.7
High School 28 3 4.5 15 10.5 11 10.5 5.8


Which of the choices below best describes how to measure the spread of these data?
(Hint: Use the minimum and maximum values to check for outliers.)
Both spreads are best described by the IQR.
Both spreads are best described by the standard deviation.
The college spread is best described by the IQR. The high school spread is best described by the standard deviation.
The college spread is best described by the standard deviation. The high school spread is best described by the IQR.

Answers

Answer:

The college spread is best described by the IQR. The high school spread is best described by the standard deviation.

Step-by-step explanation:

The college data has large outliers which skews the data, therefore the IQR is better measure of spread.

The high school data does not appear to be skewed so the standard deviation is fine as a measure of spread.

PLEASE HELP IN MATH URGENT..

Answers

Answer:

b

Step-by-step explanation:

Find the area of the isosceles triangle.
13 cm is the side length
10 cm is the base length
what is the hight?

Answers

Answer:

23

Step-by-step explanation:

because 10+13 well hope that helps

I will give BRAINLIEST!!! 0.(6) equals what percent. By the way it isnt 60%

Answers

Answer:

lol

Step-by-step explanation:

Need help with number 7 plzzz and just zoom in if u can’t see and I’ll love u forever

Answers

Answer:

Good luck

Step-by-step explanation:

Ryan had some candy to give to his five children. He took three pieces for himself and then evenly divided the rest among his children. Each child received two pieces. With how many did he start?

Answers

Answer:

he had 13 peices of candy

Step-by-step explanation:

if he has 3 pieces for himself and 2 for each kid and he has 5 kids then you would just multiply 2 and 5 then add 3

the equation is (2 times 5)+3

NEED HELP!!! WILL GIVE BRANLIEST Which of the following options best describes the slope of line a?​

Answers

Answer:

Positive

Step-by-step explanation:

What is an equation for the translation of y = |x| down 8 units?

Answers

your answer would be 4

A spherical balloon has a diameter of 4 feet.

Approximate how many cubic feet of air this balloon holds.



Note: 'pi' means 'LaTeX: \piπ ', which is approximately 3.14. Use 3.14 as an approximation for LaTeX: \piπ , and give a numerical answer.

Answers

Answer:

33.49

Step-by-step explanation:

just did that

The scatterplot for number of enrollments, N, in a sports club, t years after the

year 2006. The equation of the line of the best fit is N = 62t + 35. Find the residual

for the number of enrollments in year 2020 if the actual enrollment is 885

students.

Answers

Answer:

13.7 years

Step-by-step explanation:

The equation of the line of the best fit is N = 62t + 35

where

N is the number of enrollments

t is years after the  year 2006

If the actual enrollment is 885 students. Put N = 885 in the given equation.

885 = 62t + 35

or

885 -35 = 62t

850 = 62t

t = 13.7 years

So, the required answer is 13.7 years.

Compare: 1.6 x 10^-5 and 1.62 x 104^-4
A) >
B) <
C) =
D) none of the above

Answers

the correct answer is d

Answer:

D

Step-by-step explanation:

can someone help me with this

Answers

Answer:

A.) 3/4

Step-by-step explanation:

You can find this by dividing the distance from point Z to point Y by the distance of point X to point Y. The distance from Z to Y is 6 and the distance from X to Y is 8, so that means that the slope is 6/8, which simplifies to 3/4.

What is the slope of the graph?

Answers

Answer:

The slope of the graph is 10.

Algebra 2 - Grade 11


Can anyone please help me with these Algebra 2 Math questions?


Soon as possible !!!



Find p(–4) if p(x) = 3x^3 – 2x^2 + 6x – 4



If r(x) = x^3 – 2x + 1, find r(2a^3).

Answers

Answer:

I think that the first part would be -252, but I'm not sure about the second part

Step-by-step explanation:


Find p(–4) if p(x) = 3x^3 – 2x^2 + 6x – 4

p(-4) = 3x^3 – 2x^2 + 6x – 4

p(-4) = 3(-4)^3 – 2(-4)^2 + 6(-4) – 4
= 3(-64) - 2(16) + 6(-4) - 4
= -192 - 32 - 24 - 4
p(-4) = -252


r(x) = x^3 – 2x + 1, find r(2a^3)

r(x) = (x^3 – 2x + 1) (2a^3)
= (2a^3) x^3 + (2a^3) (-2x) + (2a^3) * 1
= x^3 (2a^3) - 2x (2a^3) + 1 * (2a^3)
r(x) = 2a^3x^3 - 4a^3x + 2a^3

I’m not entirely sure about this one as I’m also in 11th grade but I think this is how it’s done.

Fractions to decimals 19/31

Answers

Answer:

0.6129 I hope this helps!!!

Step-by-step explanation:

Please help I have 30 minutes or I fail this assignment no joke please answer all the questions there's only four.

Answers

Answer:

Sorry if I am wrong don´t count on me tho I would wait until someone else answers cause I might be wrong.

1). 9

2). -2

3). i don´t know

4). i don´t know

Step-by-step explanation:

Sorry plz don´t be mad I´m only in 4th grade

Caleigh had a jewelry box with a volume of 14 cubic inches. The area of the base is 7 square inches. What is the height of caleigh’s jewelry box

Answers

Answer:

2 in

Step-by-step explanation:

Given data

Area= 7 in^2

Volume= 14 in^3

from

Volume= Area* height

substitute

14= 7*x

divide both sides by 7

x=14/7

x= 2 in

Hence the height is 2 in

Jamal ordered 4 pizzas. how many slices of pizza did Jamal order if each slice is 1/8 of a pizza? Please, Model!!!

Answers

Answer:

32 slices

Step-by-step explanation:

as each slice is 1/8 of pizza, there are 8 slice on each pizza

as such 4 pizzas will have 4*8=32

Steve prepreformed the chemistry experiment in which divided 5/8 of a box of baking soda evenly among the five bottles he then added vinegar and water teach volatile to make them bubble up like volcanoes how much baking soda do you put in each bottle

Answers

Answer:

[tex]\mathbf{ \dfrac{1}{8} \ box}[/tex]

Step-by-step explanation:

Given that:

Steve divided 5/8 of a box evenly among 5 bottles. To determine the amount of baking soda added;

Then, mathematically:

[tex]=\dfrac{5}{8} \ box \div 5[/tex]

[tex]= \dfrac{5}{8} \ box \times \dfrac{1}{5}[/tex]

[tex]\mathbf{= \dfrac{1}{8} \ box}[/tex]

Other Questions
Jose's school is 4 km away. He walked 30 min at 5 km/hr when he realized he was running late and started running. How fast does he need to to make it to school before the bell rings in 15 minutes. The residents of cities A, B, C, D and E consume wi-fi routers, with consumption in each city is 150 routers (see the map below). The firm that produces routers must decide how to set-up production. It could set up five factories, dispersed across each city, with each factory producing 150 routers and supplying to its own local city market. In this case, the firm incurs no cost for shipping output. Alternatively, the firm could locate its factory at centrally located city C, and supply routers to the entire region. The single factory in city C must then produce 750 routers, 600 of which are shipped to the cities A, B, D and E for a shipping cost of $6 per router. A ECB D(a) Suppose the average cost of producing a router is AC (Q) = 1500/Q, where Q is the number of routers produced in a factory. Calculate AC with Q = 150 and Q = 750, respectively. Note and explain how this production process exhibit economies of scale. (b) Based on the AC function from part (a), find the optimal arrangement of production for the firm (one central factory or five dispersed factories). The optimal arrangement minimizes total cost for the firm, where total cost is the sum of production cost and shipping cost. Clearly write down all your calculations. (c) Now suppose the average cost of producing a router is AC = 14000/(Q+1250). Now, repeat the calculation of AC with Q = 150 and Q = 750. (d) Based on the AC function from part (c), now repeat your calculations to find the cost-minimizing arrangement of production in the case. (e) Explain intuitively the difference is results between responses to part (b) and (d). (f) Suppose now production costs are those given in part (a) but let shipping cost per router be given by t (in the preceding discussion, we had t = 6, now we assume we dont know the cost of shipping). What value of t would make the two arrangements for production (centralized versus separate factories) equivalent in terms of cost? i.e. what value of t would make the firm indifferent between a centralized versus a dispersed set-up? Lucky Strike Mine (LLC) purchased a silver deposit for $1,500,000. It estimated it would extract 500,000 ounces of silver from the deposit. Lucky Strike mined the silver and sold it, reporting gross receipts of $1.8 million, $2.5 million, and $2 million for Years 1 through 3, respectively. During Years 1 through 3, Lucky Strike reported net income (loss) from the silver deposit activity in the amount of ($100,000), $400,000, and $100,000, respectively. 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The following data are for Guava Company's retiree health care plan for the current calendar year. Number of employees covered 5 Years employed as of January 1 4 (each) Attribution period 20 years EPBO, January 1 $ 64,000 EPBO, December 31 $ 68,480 Interest rate 7 % Funding and plan assets None What is the service cost to be included in the current year's postretirement benefit expense? How was cotton production in Texas affected by the Civil War?A. Cotton production was unaffected by the war.B. Cotton production steadily increased each decade in the late 1800s.C. Cotton production declined during the war, but increased sharply in the decades thatfollowed the war. 4.3 m to centimeters The study of the role consumers play in a economic system is called what whats 3(2x-1)+7=6x-3-2(2-4x) Please help. I'm stuck! What is the mass of a catamaran moving at 7.65 m/s that has a momentum of 530145 kg x m/s? La familia6. Tigre y Terror son dos7. 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