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

Help please
Simplify the expression: (a^5)^3 *
A.a^8
B.a^2
C.a^15
D.a^(-2)

Answers

D

Step-by-step explanation: im smart

ONLY ANSWER IF YOU HAVE SOLUTION OR ELSE U WILL BE REPORTED!
An unbiased dice with faces marked 1, 2, 3, 4, 5 and 6 is rolled four times. Out of four face values obtained, the probability that the minimum value is not less than 2 and the maximum value is not
greater than 5 is:
a) 1/81 b) 80/81
c) 16/81 d) 65/81

Solution with some explanation

Answers

Step-by-step explanation:

Let us intepret this condition in our context:

"...that the minimum value is not less than 2 and the maximum value is not greater than 5"

This means that when we roll the dice, we do not want 1 or 6 to appear. Instead we wish for 2/3/4/5 to appear.

The probability of getting these four sides out of six in a roll is 4/6, or 2/3.

We have to roll this dice 4 times. Hence we raise the probability to a power of 4:

Total probability = (2/3)⁴

= (2)⁴ / (3)⁴

= 16/81. (C)

ahhahanvm? shushaha bruh what do i do

Answers

Uh I’m not even gonna question it but thanks for the free points ig? Lol

\u gotta ask ur question

Step-by-step explanation:

Solve the equation

9x^2 - 64= 0

9x^2 + 64= 0

Answers

Answer:

x1= - 8/3 , x2= 8/3

Step-by-step explanation:

If ‘c’ is directly proportional to‘d’ and c = 24 when d = 4

Find an equation connecting ‘c’ and ‘d’

Find ‘c’ when d = 8

Find ‘d’ when c = 54

Answers

Answer:

When d = 8

c = 48

when c = 54

d = 9

Step-by-step explanation:

We have the equation c is proportional to d

[tex]c \: \: \: \alpha \: \: d[/tex]

ie

[tex]\frac{c}{d} = \: a \: constant[/tex]

here given that c = 24 and d = 4 so,

[tex] \frac{c}{d} = \frac{24}{4} = 6[/tex]

so we have to find values for c and d which gives

c/d = 6

so when d = 8

[tex] \frac{c}{8} = 6 \\ so \: \\ c = 8 \times 6 = 48 \\ \\ and \: when \: \\ c \: = 54 \\ \\ \frac{54}{d } = 6 \\ \\ d \: = \frac{54}{6} = 9[/tex]

Answer:

c = 6dc = 48 when d=8d = 9 when c=54

Step-by-step explanation:

We know:

‘c’ is directly proportional to‘d’

and

c = 24 when d = 4

W can write this in mathematical form as:

c∝d

Removing the proportionality symbol, k is the constant of proportionality

c = kd

To find the value of k, putting the known values of c and d

[tex]24 = k * 4\\k = \frac{24}{4} = 6[/tex]

So the equation becomes

[tex]c = 6d[/tex]

To find the value of c when d = 8

[tex]c = 6*8\\c = 48[/tex]

To find the value of d when c=54

[tex]54 = 6d\\d = \frac{54}{6}\\d = 9[/tex]

Hence,

c = 6dc = 48 when d=8d = 9 when c=54

Which is the greater fraction
3/4 or 11/16​

Answers

Answer:

3/4

Step-by-step explanation:

3/4 = 75%

11/16 = about 68%

Therefore, 3/4 is greater

please help i will mark brainlist

Answers

Answer:

In order to use the Pythogrean theorem you must first use the points to form a triangle then count the side length in order to get your numbers. It should be 7^2+2^2=c^2 and your answer should be 7.28. This person subtracted the x coordinates from the x coordinate and the y from the y to get their numbers.

Step-by-step explanation:

random............... ​

Answers

The greatest common factor is 7 because both numbers are divisible by 7 and it’s the highest number they are divisible by
the answer is 7.

14 is only divisible by 1,2,7 and itself.
49 is only divisible by 1,7 and itself

Manny makes dinner using 1 box of pasta and 1 jar of sauce. If pasta is sold in packages of 10 boxes and sauce is sold in packages of 2 jars, what is the least number of dinners that Manny can make without any supplies leftover?

Answers

Answer:

10 dinners

Step-by-step explanation:

We solve using the Least Common Multiple Method.

We are told:

Pasta is sold in packages of 10 boxes Sauce is sold in packages of 2 jars.

We find the Multiples of 2 and 10

Multiples of 2:

2, 4, 6, 8, 10, 12, 14

Multiples of 10:

10, 20, 30

Therefore,

LCM(2, 10) = 10

The least number of dinners that Manny can make without any supplies leftover is 10 dinners

Fred has one third of a cake. He shares it among 3 of his friends. How much cake does each friend get?

a one third cake
b one sixth cake
c one ninth cake
d one twelfth cake

Answers

Answer:

1/9 Is the answer

Step-by-step explanation:

Answer: C is the anwer ヾ(≧▽≦*)o

A bag of 8 apples costs $1.50 at Sam's Orchard. a. At this same
rate, how much would 18 apples cost?
Please help

Answers

Answer:

$3.38

Step-by-step explanation:

8/1.5=18/x

18*1.5/8

3.375

or 3.38

Hope this helps plz hit the crown :D

Answer:

18=3.38

Step-by-step explanation:

Solve for X

17
47
34
13

Answers

Answer:

So 180-94 =86 so then it becomes 60°, 86°, and 2x so you would then add 60 and 86 together and get 146 and 180 - 146 is 34 then divide by two and you get 17 so x=17°

Step-by-step explanation:

Sorry if that’s confusing

Answer:

x = 17

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

94° is an exterior angle of the triangle, thus

2x + 60 = 94 ( subtract 60 from both sides )

2x = 34 ( divide both sides by 2 )

x = 17

write 15% as a fraction step by step

Answers

Answer:

15/100

Step-by-step explanation:

15% is out of 100% so when writing it into a fraction it is 15 over 100, because 15% is out of 100%

Hint:If you want to put it into a decimal it will be 0.15 so when turning it into a fraction, the 1 is in the tenths place and the 5 is in the hundredths place.

1/7 (63n-77)=11+9n please answer

Answers

Step-by-step explanation:

if you are satisfied with the results then plz make me genius

a real estate agent expected 18 people to show up for an open house but 25 attended

Answers

7 more than they expected

QUESTION ONE:
Solve for h.

Answers

Answer:

h = - 105

Step-by-step explanation:

Given

[tex]\frac{h}{14}[/tex] = - 7.5 ( multiply both sides by 14 to clear the fraction )

h = - 105

Answer:1.86

Step-by-step explanation:



Yes, because each input has an output.
Yes, because 3 has one output.

No, because 1 has two inputs.
No, because -2 has two outputs.

Answers

Answer:

no because -2 has two outputs

the answer would be d) no, because -2 has two outputs.

anytime when dealing with functions, the x cannot have more than 1 output

Look at the file please. I need help!

Answers

its 9 with the remainder of 53

I will mark you and plz help me!!

Answers

Answer:

x                f(x)

-9               9

-6               4

-3               -1

0                 -6

Step-by-step explanation:

A rabbit moves n times as fast as a squirrel . A fox moves m times as fast as a rabbit . The fox moves how many times as fast as the squirrel?

Answers

Answer:

the fox moves mn times as fast as the squirrel

Step-by-step explanation:

the easiest way to do problems like this is by using hypothetical values that make sense (it's best to avoid 0, 1, and 2)

we'll say that n = 3 and m = 4

so if the squirrel moves at s pace, then the rabbit moves at ns, or 3s.

if the fox moves at m (4) times the rabbit's pace (3s), then it moves at 4(3s)

then just switch out the numbers for their variables, giving you m(ns)

remember that s simply represents the squirrel's pace, we cannot replace it with a number in this case, so switch it with the idea/value it represents

and there you go, mn times the squirrel's pace

PLZ HELP ME I BEG YOU!!!!!!!!!!!!!!
Sam has $92 and spends $5 every day. William has $41 and spends $2 every day. On what day will they have the same amount of money? Show work.

Answers

Day 17, they will have the same amount of money.


$92 - ($5 • 17) = 7

$41 - ($2 • 17) = 7

Let 17 represent the amount of days they both spent money, AND the day they ended up with the same amount of money. No other day before 17, they would’ve had the same amount of money. You can figure this out by plugging a different number in for 17, and seeing the answer will not be the same for both equations

Hope this helps.

Preston uses 2 cups of nuts for every 3 cups of raisins to make trail mix. How many cups of
nuts will he need if he uses 12 cups of raisins?
9 Cups
8 Cups
10 Cups
5 Cups

Answers

Answer:

I'm pretty sure it's B. 8 cups

A hot air balloon was flying at an altitude of 150 meters when the pilot decided to land by descending at a rate of 3 yards per second . For which of these functions does y represent the altitude of the hot air balloon represents the number of seconds since the pilot started her landing ? A.y=-3x+150 B. y=-3x-150 C.y=3x+150 D.y = 3x - 150

Answers

Answer:

A

Step-by-step explanation:

y = -3x + 150

I hope this is right.

The table below would represent a proportional relationship except for one y-value. Identify which y-value prevents the table from representing a proportional relationship. Then, select the value that would make the table proportional.

X 1.5, 2, 4, 4.5, 7
Y 6, 8, 16, 16.5, 28

Alternative values 17, 18, 18.5, 19.5, 20

Answers

9514 1404 393

Answer:

  non-proportional y-value: 16.5

  corresponding proportional y-value: 18

Step-by-step explanation:

Each y-value is 4 times the corresponding x-value except for (x, y) = (4.5, 16.5).

The correct proportional values would be (4.5, 18).

find the least number that must be added to 1400 so as to get a perfect squre. full explanation​

Answers

Answer:

so what is the next perfect square after 1400?  That's what they are asking.. so I used my calculator to find it..

Step-by-step explanation:

the square root of 1400= 37.41..... but since we want a perfect square.. take 38 squared.. which is  1444 so now we know.. to add 44 to 1400 .... that's your answer  44

HELP PLEASE!!!!

Review the function equation below.
y = −9x + 3
Enter the slope of the function in the box.

Answers

-9 is the answer

your welcome

whaz upppppppppppppp​

Answers

Answer:

Hellp

Step-by-step explanation:

Answer:

what's up how's it going

plz help asap i need help fast asap i will mark you brainlist

Answers

Answer:

What do you need help with?

Mario’s pizzeria makes an average of 23 pizzas per hour during this week. What is the probability that Mario will make 21 pizzas during an hour this week?

0.079
0.076
0.0000000027
0.073

Answers

0.076? I think so and I’m very sorry if I’m wrong

Sushil, Alex and Peter share some sweets in the ratio 1:1:4. Sushil gets 15 sweets. How many did Peter get?

Answers

Answer:

pretty sure its 60

Step-by-step explanation:

because if shushil got 15 and 15x4 is 60. then yeah

so peter got 60

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