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

5 points
14. A Bakery made 140 buns. A Restaurant bought 80 of the buns. The
remaining buns were put in to 4 buns each. How many bags of buns are
there. *
60
55
35
15

Answers

15 because 140-80=60 and 60 divided by 4 is 15

Answer: 15

Step-by-step explanation: we have 140 buns if a bakery bought 80 that means we don't have the 80 buns so we remove 80 from 140 so 140-80= 60. and so The remaining buns were put into 4 buns each. so we divide cause they are in 4 and so 60 divided by 4 is 15.

HOPE THIS HELPS!

Which fraction is equivalent to 2/4

Answers

Answer: 1/2

Step-by-step explanation:

2/4=1/2

Answer: Yes, 1/2, ,2/4, and 4/8 are all equal because if they are all one half, then they are equal.

Step-by-step explanation:

can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)

Answers

Answer:

The answer is that the table is not a proportional relationship.

Step-by-step explanation:

It's not a proportional relationship because the number was not a constant variable.In order for the table to have a proportional relationship the number has to be the same for all of the ratios.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

Hope this helps!!

Which table could be a partial set of values for a linear function? x y 0 1 1 2 2 5 3 10 x y 0 9 1 8 2 5 3 0 x y 0 0 1 2 2 8 3 18 x y 0 3 1 5 2 7 3 9

Answers

Answer:

x y

0 3

1 5

2 7

3 9

Can some one please help me i'll give brainliest..please actually answer all the questions. please don't not answer the right way!!!
1. List the ordered pairs for the graphed points.

Write your answer in the space below.


2. How many students were absent on day 3? Explain how you know.

Write your answer in the space below.


3. On which day were the greatest number of students absent? How many students were absent that day?

Write your answer in the space below.


4. Is the relation represented by the graph a function? Why or why not?

Write your answer in the space below.

Answers

Answer:

#1

(1,7) , (2,10) , (3,5) , (4,7) , (5,9)

#2

5 students were absent on day 3

#3

Day 2 had the greatest number of absent students. There were 10 absent students on that day.

#4

The relation represented by the graph is a function. When performing the vertical line test, the vertical line does not intersect the graph more than once; therefore, it is a function.

Step-by-step explanation:

Hope this helps

Hi. Please i need help with this . No jokes .

Answers

Answer:

I) The roots are:

First Case:

[tex]x=-2\text{ or } x=-6[/tex]

Second Case:

[tex]x=2\text{ or } x=6[/tex]

II) Possible values of p are:

First Case:

[tex]p=-12[/tex]

Second Case:

[tex]p=4[/tex]

Step-by-step explanation:

We have the equation:

[tex]x^2-(4+p)x+12=0[/tex]

We know that one of the roots is three times the other.

And we want to find the roots of the equation and the possible values for p.

To find our solutions, we can use the process of factoring.

If we have an equation in the form:

[tex]x^2+bx+c=0[/tex]

We want to find two numbers, say, k and j, such that:

[tex]\displaystytle kj=c\text{ and } k+j=b[/tex]

After finding them, we can factor as such:

[tex](x+k)(x+j)[/tex]

So, -k and -j will be our zeros.

Therefore, for our equation, we will find two numbers k and j such that:

[tex]\displaystyle kj=12\text{ and } k+j=-(4+p)[/tex]

Notice that for the first criterion, we can simply list all the factors of 12.

So, according to the first equation, possible values of k and j are:

1 and 12; 2 and 6; or 3 and 4.

Then, our roots will be -1 and -12; -2 and -6; or -3 and -4, respectively.

However, remember that one of our roots is three times the other.

Therefore, the only candidates that work will be the second option.

Hence, k and j are 2 and 6.

Therefore:

[tex]k=2\text{ and } j=6[/tex]

With this information, we can now determine p. Since:

[tex]k+j=-(4+p)[/tex]

Then it follows that:

[tex]\begin{aligned}(2)+(6)&=-(4+p)\\8&=-(4+p)\\-8&=4+p\\p&=-12\end{aligned}[/tex]

Hence, our equation is:

[tex]x^2-(4+-12)x+12=0[/tex]

Or, factored:

[tex]x^2+8x+12=0 \text{ or } (x+6)(x+2)=0[/tex]

So, our roots are x=-6 and x=-2 when p=-12.

However, we also need to consider the negative factors of 12.

Factors of 12 also include -2 and -6.

Hence, our k and j can also be k=-2 and j=-6.

Then, in this case, our p is :

[tex]\begin{aligned} (-2)+(-6)&=-(4+p)\\-8&=-(4+p)\\8&=4+p\\p&=4\end{aligned}[/tex]

Therefore, for our second case, k=-2 and j=-6. Then p=4. So, our equation is:

[tex]x^2-(4+4)x+12=0[/tex]

Or, factored:

[tex]x^2-8x+12\text{ or } (x-2)(x-6)=0[/tex]

Hence, when p=4, our roots are x=2 and x=6.

While organizing her DVD collection, Jessica put 5 DVDs on the first rack, 10 DVDs on the second rack, 20 DVDs on the third rack, 40 DVDs on the fourth rack, and 80 DVDs on the fifth rack. If this pattern continues, how many DVDs will Jessica put on the sixth rack?

Answers

Answer:

160

Step-by-step explanation:

Number of DVDs put on the first rack = 5

Number of DVDs put on the second rack = 10

If we closely observe, the number of DVDs on the second rack is nothing but number of DVDs on the first rack multiplied by 2.

Number of DVDs put on the third rack = 20

If we closely observe, the number of DVDs on the third rack is nothing but number of DVDs on the second rack multiplied by 2.

Number of DVDs put on the fourth rack = 40

If we closely observe, the number of DVDs on the fourth rack is nothing but number of DVDs on the third rack multiplied by 2.

Number of DVDs put on the fifth rack = 80

If we closely observe, the number of DVDs on the fifth rack is nothing but number of DVDs on the fourth rack multiplied by 2.

Therefore, to find the number of DVDs on the sixth rack as per similar pattern, we need to multiply the number of DVDs on the fifth rack with 2.

Number of DVDs on the sixth rack = [tex]80\times 2 = \bold{160}[/tex]

Question 4
4 pts
Tom and Larry put money into their bank account each week. The table below shows Tom's
saving habits.
Weeks
1
2.
3
4
5
Account Balance ($)
18 30 42 54 66
Larry's saving habits can be represented by the equation y = 15x + 5, where y is money in
his account and x is the number of weeks that he has been saving.
a. How much money was initially in Tom's account? [Select]
b. How much money was initially in Larry's account (Select]
c. Who is saving money at a faster rate? (Select ]
d. When will Tom have more money in his account than Larry?
[ Select ]

Answers

Answer:

(a). 6 ; (b). $5 ;  (c). Larry'c ; (d) at time they open their accounts.

Step-by-step explanation:

Larry's saving habits is [tex]y_{L}[/tex] = 15x + 5

Tom's saving habits:

m = (30 - 18) / (2 - 1) = 12 and b = 18 - 12 = 6

[tex]y_{T}[/tex] = 12x + 6

(a). $6

(b). $5

(c). Larry'c ( [tex]m_{L}[/tex] = $15 , [tex]m_{T}[/tex] = $12 )

(d). When [tex]y_{T}[/tex] > [tex]y_{L}[/tex] ?

15x + 5 < 12x + 6

3x < 1

x < [tex]\frac{1}{3}[/tex] of [tex]1^{st}[/tex] week ( x ∈ [0, 1) )⇒ Tom will have more money in his account than Larry at time they open their accounts.

mga solusyon sa epektibong komunukasyon sa pamilya

Answers

Heyy :) lol I don’t know what u just said but yeah heyy

Answer:

Translation: Solutions to effective family education

Step-by-step explanation:

What is c?



1.51=c10

c = can someone explain I'm a little confused >

Answers

Answer:

0.151

Step-by-step explanation:

1.51=c10

we divide 10 by both sides

1.51/10 = c10/10

we cancel 10/10 and 1.51/10=0.151

so

c=0.151

tell me if u need a more clear explanation

Answer: 15 hope this help's and if not please give a bad rating

Enter the ratio as a fraction in lowest terms

15 minutes to 50 minutes

Answers

Answer:

3 minutes to 10 minutes

Step-by-step explanation:

15 : 50. Both can be divided by 5

3 : 10

this one alsooooooooo

Answers

I believe the answer is segment FD

Answer:

the answer is cd

Step-by-step explanation:

Which of the following is an equivalent form of the mixed number -12 3/4?
- 45/4
- -51/4
- -48/4
- -45/4

Answers

Answer:

[tex]- \frac{45}{4}[/tex]

Step-by-step explanation:

Step one:

given the information

[tex]-12 \frac{3}{4}[/tex] ----------------this is a mixed fraction with a negative integer number

let us convert this to a proper fraction

Step two:

Multiply the integer by the denominator and add the numerator, we have

[tex]=(-12*4+3)/4\\\\=(-48+3)/4\\\\=-45/4[/tex]

The third option is correct

in science class mrs.moore students were directed to weight a 300 gram mass on the balance scale tina weighed the object and reported 328 grams

Answers

Answer: 9 1/3%

Step-by-step explanation:

A player can move from point to point only in a direction that includes a downward motion (slanted or not). In how many distinct ways can a player move from the top to bottom? (See picture)

Answers

Answer:

12

Step-by-step explanation:

2 + 3 + 7 pathways = 12 :)

Answer:

11

Step-by-step explanation:

a

Evan used half his paycheck for his car payment, then $125 for groceries. If he has $215 left, how much was his paycheck.

Answers

Answer:

680 dollars

Step-by-step explanation:

.5x - 125 = 215

.5x = 340

x = 680

Help me out plz I will gave u Brainliest

Answers

Answer:

17280 if your multiplying

8 divided by 10 is 0.8

12 divided by 18 is 0.6667

1.19

Step-by-step explanation:

1.1940029985

yes i used a calculator for the last one

If you can help me on these I’ll give you brainliest

Answers

Answer:

B

Step-by-step explanation:

Your body temperature increases when you are awake and it looks like the slope increases at around hour 34.

Answer:

B) a long-term from of torpor

A landscaping company placed two orders with a nursery. First order was 5 bushes and 8 trees,and totaled $374.The second order was for 9 bushes and 2 trees, and totaled $202.The bills do not lost pre-item price.What were the costs of one bush and of one tree?

Answers

Answer:For one bush it would be $185 and for one tree it would be $189.

Step-by-step explanation:185 + 189 = 374

what is the value of the expression of -9 x 2.2

Answers

Answer:

-19.8

Step-by-step explanation:

hope this helps!

help meeeeeeeeeee its limited

Answers

Answer:

2 2/4

Step-by-step explanation:

add the buttons greater then 1 and it will be 2 2/4

lines b and c are parallel. What is the measure of angle 6?

Answers

Answer:

m<6=126

Step-by-step explanation:

54

Explanation: x=9, angle 6= 9(x)+9

Finish solving the system of equations X -5 y =6 and-x+2y=_3 what is the value of y substitute the value of y back into one of the original equation to find the value of x what is the value of x

Answers

please see my steps to work this problem

2x + 6 = 8
can someone tell me dis​

Answers

Answer:

x=1

Step-by-step explanation:

is the answer

Answer:

x = 1

Step-by-step explanation:

What is the approximate value of Log Subscript 6 Baseline 25?

Answers

Answer:

D.1.796

Step-by-step explanation:

Edge 2021

The required value of Log Subscript 6 Baseline 25 is 1.796.

Value of Log Subscript 6 Baseline 25 is to be determine.

What is simplification?

In mathematics, using mathematical operators execute the mathematical expression.

Here,

[tex]=log_625\\= log_e25/log_e6\\[/tex]

= 1.796

Thus, the required value of Log Subscript 6 Baseline 25 is 1.796.

Learn more about simplification here: https://brainly.com/question/12501526

#SPJ2


Cuantos metros de valla necesitare para cercar una finca cuadrada de 54,3 de lado? por favor....

Answers

Answer:

217,2 m

Step-by-step explanation:

Si el lado de la finca mide 54,3 m y la finca es cuadrada entonces:

1.-El área de la finca es:

A = L²

Y el perimetro de un cuadrado es P = 4*L

Entonces

P = 4 * 54,3

P = 217,2 m

If gym strong charges a $350 fee and $15 a month and gym fit charges $100 fee and $24 a month, how many months would take for gym string to be a better buy?

Answers

Answer:

It would take 28 months for Gym Strong to be a better buy.

Step-by-step explanation:

There are two possible options for gyms to choose from:

Gym Strong charges $350 plus $15 a month

Gym Fit charges $100 plus $24 a month.

Since Gym Strong charges less per month but has a higher initial fee, there will be some time when it will be a cheaper option than Gym Fit.

Let's solve this by analyzing the differences in fixed fees and monthly fees.

The difference of fixed fees is $350 - $100 = $250

The difference on monthly fees is $24 - $15 = $9

Both gyms will charge the same total fees when have passed 250/9 = 27.7 months. Since the number of months is a whole number, we round up.

It would take 28 months for Gym Strong to be a better buy.

Fill in the table using this function rule.
y=29-4x

Answers

Answer:

x.1 y.25

x.3 y.17

x.5 y.9

x.6 y.5

Step-by-step explanation:

is the discriminant of g positive, zero, or negative

Answers

Answer: negative

Step-by-step explanation:

the x values are negative

Answer:

negative

Step-by-step explanation:

A.) 18
B.) 20
C.) 24
D.) 25

Answers

D,  s=180- n-2

and s=165n

165n=180-n-2

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