Mathematics High School

if the third term in an arithmetic sequence is 7 and the common difference is -5, what is the value of the fourth term?​

Answers

Answer 1

Answer:

a₄ = 2

Step-by-step explanation:

Each term in an arithmetic sequence is obtained by adding the common difference to the previous term, then

a₃ = 7 , so

a₄ = a₃ + 5 = 7 - 5 = 2

Answer 2

Answer:

t4=a+(n-1)d

t4=7+(4-1)-5

t4=7+(-15)

t4=-8

Related Questions

PLEASE LOOK AT PICTURE! WHOEVER HAS CORRECT ANWSER I WILL MARK BRAINIEST!!!

Answers

Answer:

Its A

Step-by-step explanation:

Evaluate the function f(-2) - h(4) given the following functions: f(x) = 4x​ 2​+ 9 h(x) = 3x - 14

Answers

Answer:

-86

Step-by-step explanation:

simplify each equation as much as possible

f(x)= 4x(2+9) add

4x(11) multiply

f(x)=44x

substitute given numbers into each equation

44(-2)=-88                3(4)-14= 12-14=-2

combine equations

-88-(-2)= -86   add since you are subtracting a negative number

Micheal walks 3.5 km every day . How far does he walk in 9 days . Write in meters

Answers

31500 meters.

Step-by-step explanation:

3.5 km times 9 = 31.5 km

25.5 km = 31500 meters

Let me know if you have any issues or need help!

Answer:

31500 meters

Step-by-step explanation:

If he walks 3.5 km a day and he walks 9 days, then multiply those together.  That will give you 31.5 km. Converted to meters would give you 31500.

Which expression makes the equation true for all values of x?
60x- 12 = 6(__?_)

Answers

16x - 16 = 4(4x - 4) common factor

Is 8 < x the same as 8 > x ( please explain this )

Answers

Answer:

No

Step-by-step explanation:

It is No because if you switch up the first inequality you get x>8 and when you switch up the inequality you get x<8. I hope this explanation is satisfactory .

it said in the question how do we solve of the side b​

Answers

Is this your final are you taking a test



y varies inversely with x. If x= 1 and y= 3 what is x if y = 0.3
Type your answer...

Answers

Answer:

Step-by-step explanation:

hjyr  kiknbvcctt t

Show work on this smart people

Answers

Answer:

10 units

Step-by-step explanation:

LMNO is a square.

All sides of square are equal

MN = LM

3x + 1 = x + 7

3x - x = 7 - 1

2x = 6

x = 6/2

x = 3

LM = x + 7 = 3 + 7 = 10

LM = 10 units

how do you write a linear equation when given a graph or table? and how do you analyze key features of a function when given its graph?

Answers

When given a graph or table, you first want to figure out the slope. Look at the graph or table, and see how much does y change when x change in a certain amount? You want it as a rise/run so if x increases 2 when y increases 3 then the slope would be 3/2.

Next, you want to find the y intercept.
Look at the y value when x is 0. If the y is -2 when x=0, then b=-2.

When given its graph, find a y value when x is 0. If the y is 4 when x=0 then b=4

Determine the constant of variation for the direct variation given. Type a numerical answer in the space provided.

Answers

Answer:

B. 4

Step-by-step explanation:

Determine the constant of variation for the direct variation given.

(0, 0), (3, 12), (9, 36)

A. 3

B. 4

C.12

Direct variation is given by:

y = kx

Where,

k = constant of variation

(3, 12)

x = 3; y = 12

y = kx

12 = k*3

12 = 3k

k = 12 / 3

k = 4

(9, 36)

x = 9; y = 36

y = kx

36 = k * 9

36 = 9k

k = 36 / 9

= 4

k = 4

Constant of the variation = 4

Solve the system of equations. (1 point)

2x − 5y = 3
x − 3y = 1

(4, 1)
(5, 2)
(7, 2)
(9, 3)

Answers

Answer:

The answer is (4,1). Substitute the x and y values into the system and you should have the answer.

Answer:

option one

Step-by-step explanation:

help please lol lol lol

Answers

Answer:

C

Step-by-step explanation:

Answer:

i think its C

Step-by-step explanation:

lol

A bag contains 40 cups of dog food. You feed 2 2/3 cups to your dog each day. In how many days will you need to buy more dog food?

Answers

Answer:

15 days

Step-by-step explanation:

You'd divide 40 by 2 2/3, getting you 15.Therefore there will be enough food for the dog to eat for 15 days.

Julieanne is sewing a red ribbon around the border of a blanket. The blanket measures 7 feet by 6 feet. How long does the ribbon need to be in order to go around the edge of the blanket one time?

26 feet
42 feet
84 feet
169 feet

Answers

Answer:

42

Step-by-step explanation:

the answer is 42 feet

5 + 0.08 + 0.004 in word form plz​

Answers

Answer:

Five plus eight hundredths plus four thousandths

Answer:

five plus zero point zero eight plus zero point zero zero four equals five point zero eighty four

Step-by-step explanation:

15 POINTS!! DRAW THE GRAPH! Someone can draw it on a piece of paper I’ll give you triple the points and brain list this is going to be a big point question go!!!

Answers

Answer:

ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok ok

Answer:

step by step

Step-by-step explanation:

y = 3x - 4

Root (x-intercept): y=0     3x-4=0       x=4/3 (or 1 1/3, 1.33333)

y-intercept: x=0   y=4

PLEASE HELP ME............THANKS

Answers

Answer:

i think it's c, I could be wrong djxndnxmmx

Answer:

{2,4,9,16}

Step-by-step explanation:

Range are the y values, which are on the right.

Offering 100 Points for someone to complete the worksheet.

Answers

Answer:

what is the question?

please post the question

. True or False? Write your response next to the statements below. A) Sam computed a 90% confidence interval for µ from a specific random sample of size n. He claims that at the 90% confidence level, his confidence interval contains µ. Is his claim true or false? B) Sam computed a 95% confidence interval for µ from a specific random sample. His confidence interval was 10.1 < µ < 12.2. He claims that the probability that µ is in this interval is 0.95. Is his claim true or false? C) If we fail to reject (i.E., "accept") the null hypothesis, this means that we have proved it to be true beyond all doubt. Is this true or false?

Answers

Answer:

A) True , B) True , C) False

Step-by-step explanation:

A) True : Confidence Interval is the interval range around sample statistic, which is certain by extent of confidence level, to consist the actual population parameter.

B) True : Confidence Interval is the interval range around sample statistic, which is certain by extent of confidence level, to consist the actual population parameter.

C) False : Null Hypothesis can be accepted, despite of being actually false. This is called Type 2 Error.

what’s the answer did anyone figure it out ?

Answers

Answer:

NAswer to what

Step-by-step explanation:

What answer |o| idek what u talking about

On a bank account of $1,600, how much yearly interest will be paid
if the rate is 5%?

Answers

5,296.33. Is the answer I got when I used this calculator

Answer:

Step-by-step explanation:

if in the bank account is 1600 dollars

the rate is 5%

1600*5%=80 dollars

What is the reciprocal of 5 1/4?

Answers

Answer: 4/21

Step-by-step explanation: first convert it to an improper fraction, which would be 21/4

reciprocal means flip the fraction so it’s 4/21

EMERGENCY
i+i+i+i=-8
i=

Answers

Answer

i=2

Step-by-step explanation:

i+i+i+i=8

4i=8

i=8/4

i=2

i + i + i + i= -8
First, combine like terms (i’s)
4i=-8
Divide both sides by 4 to isolate i
4i=-8
—- —-
4 4

i=-2

You can plug this back in to see if it works.

(-2) + (-2) + (-2) + (-2) = -8

-8=-8

Therefore, i= -2

The sum of the first (n) terms of the sequence is given by the formula (given below) . If this sequence is a geometric progression, find q. If this sequence is an Arithmetic progression, find d​​

Answers

Answer:Example 1:

Find the sum of the first 8 terms of the geometric series if a1=1 and r=2.

S8=1(1−28)1−2=255

Example 2:

Find S10 of the geometric sequence 24,12,6,⋯.

First, find r.  

r=r2r1=1224=12

Now, find the sum:

S10=24(1−(12)10)1−12=306964

Example 3:

Evaluate.

∑n=1103(−2)n−1

(You are finding S10 for the series 3−6+12−24+⋯, whose common ratio is −2.)

Sn=a1(1−rn)1−rS10=3[1−(−2)10]1−(−2)=3(1−1024)3=−1023  

In order for an infinite geometric series to have a sum, the common ratio r must be between −1 and 1.  Then as n increases, rn gets closer and closer to 0.  To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r, where a1 is the first term and r is the common ratio.

Example 4:

Find the sum of the infinite geometric sequence

27,18,12,8,⋯.

First find r:  

r=a2a1=1827=23

Then find the sum:

S=a11−r

S=271−23=81

Example 5:

Find the sum of the infinite geometric sequence

8,12,18,27,⋯ if it exists.

First find r:  

r=a2a1=128=32

Since r=32 is not less than one the series has no sum.

Step-by-step explanation:

28 points and brainliest!!!!!!!!!!!

Answers

Answer:

Multiplication

Step-by-step explanation:

Can i have branliest?

You would multiply the speed the vehicles are moving and the feet its going

Step-by-step explanation:

8 squared? please answer i have limited time​

Answers

Answer:

64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

to square smt means to multiply it by itself

In a lab experiment, 100 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 26 hours. How long would it be, to the nearest tenth of an hour, until there are 168 bacteria present?

Answers

9514 1404 393

Answer:

  19.5 hours

Step-by-step explanation:

The number in the dish at time t (in hours) can be described by ...

  n(t) = 100·2^(t/26)

We want to find t such that ...

  n(t) = 168

  100·2^(t/26) = 168

  2^(t/26) = 1.68 . . . . . . divide by 100

  (t/26)log(2) = log(1.68) . . . . . take logarithms

  t = 26·log(1.68)/log(2) ≈ 19.459992 . . . . divide by the coefficient of t

  t ≈ 19.5 . . . hours

It would be about 19.5 hours until there are 168 bacteria.

Carter has $105 to buy a cake and pizza for his cousin's birthday party. He knows he needs to set aside $25 for the cake, and the rest of the money he can spend on pizzas. Each pizza costs $9.25. How many pizzas can Carter afford to buy? Use the inequality 9.25x + 25 ≤ 105

Answers

Answer:

8

Step-by-step explanation:

Here, we want to use the inequality to know the number of pizza that can be bought

We simply proceed to solve the inequality recently and we have the following;

9.25x + 25 ≤ 105

9.25x ≤ 105-25

9.25x ≤ 80

x ≤ 80/9

x ≤ 8.65

Since we cannot have fractional pizzas, what he can afford is rather written as 8

If a quadratic equation has no real solutions, is it still a function? I don't seem to know why

Answers

Answer:

That’s interesting I would figure isn’t a function because the point of a function is to find the solution but if there is no solu then it has lost its purpose.

Which is the solution of set?

Answers

Answer:

the answer is x >0 hope this helped

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