Given two terms of the arithmetic sequence a3=25 and a8=-10 find a1 and d

Answers

Answer 1

Answer:

Sorry I don’t know

Step-by-step explanation:

Answer 2

a3=25

a8=-10

first, a3=25 will be 25= a + (3-1)×d that is the formula of the Arithimetic function genrally→ an=a (which is the first term..that we wanted in this case) + n-1 (n is the order of wanted term..we already has the term which is 3) × d (the common ration).

So, 25=a+(3-1)×d

25=a+2d

25-2d=a   rearrange

a= 25-2d

We will take this equation and subsitute it in the other equation which is -10=a+ (8-1)×d

so it will be -10=25-2d+(8-1)×d

-10= 25-2d+7d   sum the d

-10= 25+5d

-10-25= 5d

-35=5d

-35/5=d

-7= d

Now that we have the d we can go back to the equation of a= 25-2d and know the value of a

a= 25-2×-7

a1=39

d=-7


Related Questions

Help for brainliest!

Answers

Answer:

I believe it's d but I could be wrong but I'd try it

w^2 -8 if w=7
Answer whenever

Answers

Answer:76

Step-by-step explanation:

Hope it help correct me if i am wrong

Answer is: 41
If w=7,
7^2-8=
7^2=7x7=49
49-8=41

Simplify the expression: 5(2n - 3) + 4(-3n + 2)
A
-9
В.
8n - 1
C.
--2n - 1
D
-2n - 7

Answers

Answer:

-2n-7

Step-by-step explanation:

5(2n - 3) + 4(-3n +2)

10n - 15 - 12n + 8

-2n - 7

Which of these describes information that can appear in a consumer 's credit report?

A. The Name Of A Store Where The Consumer pays for all purchases

B. The Name Of A Company That Gave The Consumer A Car Loan 2 Years Ago

C. The Amount Of Money The Consumer Will Need Too Borrow In The Next 5 Years

D. The Amount That The Consumer Loaned To A Family Member​

Answers

Answer:

b the car loan .................

Helppppppppppppppppp

Answers

Answer:the second one

Step-by-step explanation:

anwser c

step-by-step explenation                                          

search wedgy or backward slash\

Answers

Answer:

pls answer my question

https://brainly.com/question/22082435

Step-by-step explanation:

Answer:

Step-by-step

I did it (now i know what a backward slash is) / \ :)

LITRALLY HELP PLS
Describe how you calculated surface area. Provide a few examples of how the concept of surface area can be used in the real world!!

Answers

The formula to find the surface area depends on the shape. However, you can find the area of each face of the shape, then add them all together. This concept of surface area can be used in the real world, and is everyday. When drawing blueprints or building a house, architects need to calculate surface area.

Answer:

Halo!!! i wrote my answer below your epic btw

Step-by-step explanation:

you first have to break up the surface of the shape into smaller shapes so that they are easier to work with. you then calculate all of the shapes and add them together. this can be used in the real world to find the area of houses when you need to find how much space an area of the house has.

PS:If u didnt learn to find surface area this way insert anything you want into the beggining sorry i dont know what youve been learning

wuestions
(a) An angle measures 51°. What is the measure of its supplement?
(b) An angle measures 27°. What is the measure of its complement?

Answers

Answer:

a - 129

b - 63

Step-by-step explanation:

for a - supplementary angles add up to equal 180

so to find the measure of its supplement we subtract the given angle from 180 180-51=129

so the measure of a supplement angle is 129

for b - complementary angle add up to equal 90

so to finds the measure of its complement we subtract the given angle from 90

90-27=63

so the measure of its complement is 63

Answer:

(a) An angle measures 51°. the measure of its supplement=180-51=129°

b) An angle measures 27°. the measure of its complement=90-27=63°

What is the value of x in the diagram below?

Answers

Answer: D: 7

Step-by-step explanation:

14/2 = 7

49/7 = 7

X=7 because the triangle is diluted by 7 so 49/7=7

Help me with this geometry

Answers

Answer:

x = 11.2

Step-by-step explanation:

Since, ΔPQR ~ ΔVST,

By the property of similar triangles, corresponding sides of these triangle will be proportional.

[tex]\frac{PQ}{VS}=\frac{QR}{ST}[/tex] ---------(1)

Since, scale factor = [tex]\frac{\text{Dimension of the image figure}}{\text{Dimension of the original}}[/tex]

[tex]\frac{2}{5}[/tex] = [tex]\frac{PQ}{VS}[/tex]

Therefore, from equation (1)

[tex]\frac{2}{5}=\frac{x}{28}[/tex]

x = [tex]\frac{28\times 2}{5}[/tex]

x = 11.2

A soft-drink machine is regulated so that the amount of drink dispensed is approximately normally distributed with known standard deviation, sigma. Given a random sample of n drinks and the sample mean, x-bar, you find a 90% confidence interval for the mean of all drinks dispensed by this machine. Then you calculate a 90% confidence interval (same confidence level) using a larger sample, for example (n 20) drinks. Also, you notice that the sample mean, x-bar, is the same for both samples.

Required:
Was this a reasonable decision?

Answers

Answer:

This is  a reasonable decision because the sample size has no effect on the 90% confidence interval

Step-by-step explanation:

90% confidence interval

larger sample size = 20

condition : sample mean ( x-bar ) is the same for both samples

This is  a reasonable decision because the sample size has no effect on the 90% confidence interval

from condition 1 :

Amount of drink dispensed is normally distributed with known standard deviation , given a random sample of n drinks and the sample mean at a confidence interval of 90%

for condition 2 :

sample size = 20

mean = 2.25 ( assumed value )

std = 0.15 ( assumed value )

Z = 1.645 ( Z-value )

determine the 90% confidence interval

= mean ± z [tex]\frac{std}{\sqrt{n} }[/tex]

= 2.25 ± 1.645 [tex]\frac{0.15}{\sqrt{20} }[/tex]

= 2.25 ± 0.0335 = ( 2.2835 , 2.2165 )

30 POINTS FOR JUST ONE QUESTION :)

Answers

Answer:

maybe its a or c

Step-by-step explanation:

Answer:

D) 14,400

Step-by-step explanation:

trust me

what is the answer for this? Select all the fractions that are equivalent to 45. Use the area models to help.

Answers

Answer: bro you have to submit a picture or some more information baceuse nobody will be able to answer your question with only one number (45)

Step-by-step explanation:


Need help QUICKLYY ———————————————————

Answers

Answer: a. g(x) = 3^x + 2 b. y = 3 c. same graph but shifted two units up

Step-by-step explanation:

If you currently have $4,500 in a savings account and you earn 6% simple interest on the principal for 4 years, what is the amount of interest you will earn?

Answers

Answer:

$1,181.15

Step-by-step explanation:

Hope this helps.

Can someone help pls

Answers

Answer: b

Step-by-step explanation:

The answer is C. 30ft

Please help!! I know 37x25=925, but I need the blank part I can’t figure it out.

37
26
___
925

Answers

The top blank is 185 and the bottom blank is 740

Question 3 of 10
You roll two number cubes.
Let event A = You roll an even number on the first cube.
Let event B = You roll a 4 on the second cube.
Are the events independent or dependent? Why?
A. Independent, because the outcome of the first roll doesn't affect
the outcome of the second roll.
B. Independent, because they have no outcomes in common.
C. Dependent, because both cubes have six sides.
D. Dependent, because 4 is an even number.

Answers

Answer:

D

Step-by-step explanation:

They are both even numbers the 4 is seperated into 2,2 and if 4 is an even and event A is even it would be dependent

Michelle deposited $3,400 into an account. She made no additional withdrawals or deposits. Michelle earned 1.95% annual simple
interest on the money in the account
What was the balance in her account at the end of 2.5 years?
Enter the amount in the account in the box.

$_______

Answers

Answer: 96 cents or 0.96

Step-by-step explanation:

When in a money problem like this and it is telling you to find the tax, fee, or and bonus you move the decimal in front of the number or decimal and round to the nearest penny and in this situation .195 rounds to .96

The balance in her account at the end of 2.5 year should be considered as the $3,568.

Calculation of the balance in the amount:

Since deposited amount si $3,400

The interest rate is 1.95%

And, the time period is 2.5 years

So, here the balance should be like

[tex]= 3400 \times (1 + 1.95\%)^{2.5[/tex]

= $3,568

hence, The balance in her account at the end of 2.5 year should be considered as the $3,568.

Learn more about interest rate here: https://brainly.com/question/24002393

Solve the system below using linear combination. 2x – 7y = -7 3x + 8y = 45 i need a step by step explanation please

Answers

Answer:

the Value of y=3 and x=5or 4.5

Triangle KLM is similar to triangle NOP. Find the measure of side NO. Round your

answer to the nearest tenth if necessary.

M

P Р

O

1

23

51.6

38

N

Answers

Answer:

[tex]NO= 31.2[/tex]

Step-by-step explanation:

See attachment for triangle

From the attachment, we have:

[tex]KL = 51.6[/tex]

[tex]LM= 38[/tex]

[tex]OP = 23[/tex]

Required

Find NO

This will be calculated using the following equivalent ratios:

[tex]NO : OP = KL : LM[/tex]

This gives:

[tex]NO : 23= 51.6: 38[/tex]

Express as fraction

[tex]\frac{NO }{ 23}= \frac{51.6}{ 38}[/tex]

Make NO the subject

[tex]NO= \frac{51.6}{ 38} * 23[/tex]

[tex]NO= \frac{51.6* 23}{ 38}[/tex]

[tex]NO= \frac{1186.8}{ 38}[/tex]

[tex]NO= 31.2[/tex] --- approximated

Answer:

x≈ 16.9

Step-by-step explanation:

Graph the solution set of the inequality 1/2y < -3

Answers

Answer:

y  <  − 6 ?

Step-by-step explanation:

Its a straight line on graph so it's linear

Answer:

w

Step-by-step explanation:

5x3 + 9x² - 13x - 2
As x approaches --, f(x) approaches
As x approaches +o, f(x) approaches​

Answers

9514 1404 393

Answer:

  (x, y) → (-∞, -∞), (+∞, +∞)

Step-by-step explanation:

The expression is of odd degree with a positive leading coefficient. It will have a generally upward slope (/). That is, the sign of f(x) will match the sign of x for large-magnitude values of x:

  x → -∞, f(x) → -∞

  x → ∞, f(x) → ∞

I need help plz 6x-5=2x+7

Answers

Answer:  x=3

Step-by-step explanation; Add 5 to both sides of the equation

6x-5+5=2x+7+5

simplify: add the numbers

6x-5+5=2x+75 = 6x=2x + 7+5

6x =2x + 7+5

6x=2x +12.

subtract 2x from both ides of the equation: 6x=2x + 12

6x - 2x =2x + 12-2x6

combine like terms  u should get 4x= 12

divided both sides of the equation by the same term 4x=12  4x/4 =12/4

Cancel terms that are in both the numerator and denominator u should get  x=12/4

divided the numbers and ur answer is X=3

Please solve this for me

Answers

Answer:

69.08m

calculate the circumstances :

2×r×pi

11×2×3.14

=22×3.14

=69.08m

In the equation 6x – 2 = –4x + 2, Spencer claims that the first step is to add 4x to both sides. Jeremiah claims that the first step is to subtract 6x from both sides. Who is correct? Explain.

Answers

Answer:

Spencer is correct

Step-by-step explanation:

because you always go for the lowest number

Answer:

Spencer

Step-by-step explanation:

Spencer got it corret because the answer is x=2/5

but jeremiah subtracted 6x so he got x=1/3

Hope this helps :)

Can I have brainliest Plsssss

what is the slope of this graph?​

Answers

Answer:

24

Step-by-step explanation:

To find the slope you need 2 points in this case I used (0,0) and (1,24)

So:

24-0/1-0 = 24/1 = 24

Abraham ha $16 to spend on five pencils. After buying them, he has $6.25 left. How much was each pencil?​

Answers

Answer:

$ 1.95 per pencil

Step-by-step explanation:

16 - 6.25 = 9.75

9.75 / 5 = 1.95

Which of these is the most reasonable estimate for the amount of water that fills a glass? A. 500 L
B. 500 mL
C. 5 L
D. 5 mL
E. 50 L

Answers

The answer would be b - 500mL.

A software engineer creates a LAN game where an 8 digit code made up of 1,2,3,4,5,6,7,8 has to be decided on, universal code . There is a condition that each number has to be used a and no number can be repeated . What is the probability that first 4 digits of the code are even numbers ?

Answers

Answer:

0.0143 = 1.43% probability that first 4 digits of the code are even numbers.

Step-by-step explanation:

Arrangements of n elements:

The number of possible arrangements of n elements is given by:

[tex]A_{n} = n![/tex]

Probability:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Desired outcomes:

First four digits are even(2, 4, 6 and 8 are even, so arrangements of 4 elements).

Last four digits are odd(1, 3, 5 and 7 are odd, so the last four elements are also arrangements of 4 elements). So

[tex]D = 4!*4! = 24*24 = 576[/tex]

Total outcomes:

Arrangements of 8 digits. So

[tex]T = A_{8} = 8! = 40320[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{576}{40320} = 0.0143[/tex]

0.0143 = 1.43% probability that first 4 digits of the code are even numbers.

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