What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?

A) 78
B) 32
C) 14
(Explain your work)

Answers

Answer 1

We have that  the fourth term of an arithmetic sequence is

a_4=14

Option C

From the question we are told

What is the fourth term of an arithmetic sequence whose first term is 23 and whose seventh term is 5?

A) 78

B) 32

C) 14

(Explain your work)

Generally the equation for the  arithmetic sequence  is mathematically given as

[tex]a_4=a_1+(n-1)d[/tex]

Therefore

For seventh term

[tex]5=23+(6)d\\\\d=5-23/(6)\\\\d=-3[/tex]

Therefore

For Fourth term

[tex]a_4=23+(3*(-3))[/tex]

a_4=14

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Related Questions

3/8 divided by 12 in simplest form

Answers

Answer:

1/32

Step-by-step explanation:

The answer is 1/32.
3/8 divided by 12 = 0.03125 = 1/32
0.03125 times 32 = 1

what is the midpoint between (-1, 1) and (5, -5)

Answers

The midpoint is (2,-2)

What is 9(-7)?
I don't even know this

Answers

-63. Hope this helps!

Can have brainliest?

Answer:

-63

Step-by-step explanation:

If you know how to multiply it without the negative then you could take that answer and then put a negative at the beginning.

PLEASE HELP!! Only answer if correct.

Answers

Answer:

top -55

bottom 325

Step-by-step explanation:

The sum of 12 and 30 multiplied by 6

Answers

Answer:

Step-by-step explanation:

12*30=360

360/6=60


please someone answer with an explanation if possible!

Answers

Answer:

download gauth math and scan it and will give u the answer

Answer:

C

Step-by-step explanation:

The y intercept is where the line first crosses the y axis, so it would be positive 2. The slope is negative because it's diagonally going the left way, and its 3 because from one point to another it's 3 down and 1. The formula for a slope is rise/run, in this case it would be 3/1 which is 3.

help 50 points for the awnser

Answers

[tex]8 \geqslant h[/tex]

Swap the sides of the inequality and flip the inequality sign

[tex]h \leqslant 8[/tex]

Alternate form:h∈《-∞,8]

Hence, Option A, B, D is correct..

Given inequality ,

[tex]\sf\longrightarrow 8 \geq h[/tex]

This implies h is less than or equal to 8 . Hence it cam sustain all the values 8 , 7 , 6 , 5 , .....

On looking at options given ,

[tex]\sf\longrightarrow h = 8 \\ [/tex]

[tex]\sf\longrightarrow h = 5 \\ [/tex]

[tex]\sf\longrightarrow h = 6 [/tex]

The height of a building is 1383 feet. How long would it take for an object to fall from the top?

Answers

Answer:hope this helps

Step-by-step explanation:

Arjun paid $21.60 for a box that contained 12 packs of baseball cards. At this rate, how much is one pack of baseball cards?

Answers

Answer:

$1.80

Step-by-step explanation:

You need to divide the amount he paid for the 12 packs by 12 and you get 1.80

Chalondra buys a dress that costs $28.00. She pays 5% sales tax. How much does she pay for the dress, with tax? A. $1.40 O B. $26.60 O C. $33.00 D. $29.40​

Answers

Answer:

29.40

Step-by-step explanation:

5% of 28.00 is 1.40, so 28.00 + 1.40 =29.40

Answer:

D

Step-by-step explanation:

The perimeter of a rectangle is 84cm.
Its shortest side has a length of 3cm.
State the length of the longest side.

Answers

Answer:

39 cm

Step-by-step explanation:

The perimeter of a rectangle is given as 2 (w + l) or 2w + 2l, where w and l are the sides.

Let us use w as 3 cm.

The perimeter of the rectangle is 2(3) + 2l = 6 + 2l

6 + 2l = 84 cm

We move the 6 to the left hand side and it goes from positive to negative.

2l = 84 - 6cm

2l = 78 cm

Divide both sides by 2.

l = 39 cm

There you have the answer for side l.

Hope this helps.

solve the inequality

Answers

32 and Konner is right please

HELP PLZ !

Plot the numbers 3.07 , 2.92 and 3.02 on the number line

Answers

U plot them the way they are

HELP
Linear function t has an x-intercept of −1 and a y-intercept of 5. Which graph best represents t?

A) Graph A

B) Graph B

C) Graph C

D) Graph D

Answers

I think it’s B I’m not sure about it but I hate wan I gat it wrong.

The graph D has a x-intercept = −1  and y-intercept = 5

How to determine the graph?

The given parameters are:

x-intercept = −1

y-intercept = 5

The above means that the graph crosses the x-axis at -1, and it crosses the y-axis at -5

From the list of options, the graph that satisfies the above highlights is graph D

Hence, the graph D has a x-intercept = −1  and y-intercept = 5

Read more about linear graphs at:

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Help!! ASAP

Is relation below a function? If it is a function, state its domain.

{(0,3),(2,-3),(1,8),(2,3)}

A. The relation is not a function.
B. The relation is a function. The domain is {0,1,2}.
C. The relation is a function. The domain is {-3,3,8}
D. The relation is a function. The domain is {-3,0,1,2,3,8}

Answers

Answer:

A. The relation is not a function.

Step-by-step explanation:

Since 2 --> -3, and 2 --> 3, the relation is not a function.

someone help me pls

Answers

Answer:

y=1/2x + 3

Step-by-step explanation:

The first thing you need to know is that the slope of a perpendicular line is the opposite reciprocal of the other slope. Find the slope of this line, which is -2. The opposite reciprocal is 1/2. So, you know that the perpendicular line is equal to y=1/2x. Plug the x coordinate (4) in for x to have: y=1/2(4). Multiply 4 by 1/2 to get y=2. Since the y coordinate is supposed to equal 5, add 3 to y=2 to get 5. Since 3 is the amount we added, thats where the y intercept will be. Hope this helped!

Plato!!! Please help ~_~
Type the correct answer in the box. If necessary, use / for the fraction bar.
A solid wooden block in the shape of a rectangular prism has a length, width, and height of 3/8 centimeter, 1/8 centimeter, and 5/8 centimeter,
respectively,

The volume of the block is (——)
cubic centimeter.
The number of cubic wooden blocks with a side length of 1/8 centimeter that can be cut
from the rectangular block is(—)

Answer goes in the (—)

Answers

Answer:

V = 3/8 * 1/8 * 5/8 cm^3 = 15 / 512 cm^3

Since all sides are evenly divisible by 1/8 and v = (1 / 8)^3 = 1 / 512 cm^3

N = V / v = (15 / 512) / (1 / 512) = 15 blocks

Example: cut 1/8 by 5/8 into 5 blocks

Cutting 1/8 by 5/8 could be done 3 times for a total  of 15 blocj\ks

Which of the following Arrow Diagrams does NOT show a function? Justify your answer.

Answers

Answer:

Top right diagram.

Step-by-step explanation:

0 --> 1 and 0 --> -3.  0 is associated with two values, so it is not a function.

Ken used 3/4 of his wrapping paper. If he used 12 feet how much wrapping paper did he use

Answers

Answer: If Ken used 12 feet of wrapping paper, 3/4 then he would have had 16 ft of wrapping paper before he started wrapping

Step-by-step explanation:

12 divided by 3 is 4 giving us the equation 4/4 equals 4 x 4

If odd natural numbers are less than 7, then they are prime numbers.

True or False?

Answers

i think true?? i think! im really not sure but yea

please solve this question I give you brainliest answer

Answers

Answer:

6. 9^2+4x-1

7. 7x - 3 cm

8. -6x^2+3x-4

9. 4x+10y+4z

10 13x^2 - 2x

11. -5x^2 - 8x - 16

Step-by-step explanation:

6. (13x^2+x-3)-(4x2-3x-2) = 9x2+4x-1

7. x +4+2x+1+4x-8

= 7x-3 cm

8. (-8x^2 + 8x + 1) + (14x^2-11x+3)

10. (8x^2+x)-(-5x^2+3x)

11. (-x^2-6x+5) - (4x^2+2x+11)

A line that includes the points ( – 8,9) and ( – 10,d) has a slope of 6. What is the value of d?

Answers

Answer:

The value of d is -3.

Step-by-step explanation:

We are given that a line that includes the two points (-8, 9) and (-10, d) have a slope of 6. We want to determine the value of d.

Recall that the formula for slope is:

[tex]\displaystyle m = \frac{\Delta y}{\Delta x}[/tex]

We know that the slope is 6. Substitute:

[tex]\displaystyle (6) = \frac{(d) - (9) }{(-10) - (-8)}[/tex]

Solve for d:

[tex]\displaystyle \begin{aligned} 6 & = \frac{d - 9}{-10 + 8} \\ \\ 6 & = \frac{d - 9}{-2} \\ \\ -12 & = d - 9 \\ \\ d & = -3 \end{aligned}[/tex]

In conclusion, the value of d is -3.

whats the greateats hundreds you can multiply by 6 to get close to but not go over 3236

Answers

Answer:

100

Step-by-step explanation:

6×100=600

600 might not be that much close to 3236 but it's not over 3236

Evaluate.

0.2^3÷0.4⋅60+3.6÷1.2
Enter your answer as a decimal

Answers

Answer:

what that's grade? ha

that's first year college

PLEASE HELP ME
(Part 1) A line goes through the points (1, 6) and (–2, 8). Write the equation of the line in Point-Slope form. Show your work algebraically for full credit. Circle your answer

(Part 2) A line goes through the points (1, 6) and (–2, 8). Write the equation of the line in Slope-intercept form. Show your work algebraically for full credit. Hint: this is the same line as in #1. Circle your answer.

Answers

Answer:

48

Step-by-step explanation:

A step-by-step solution to 1/6 plus 2/8, with the answer in fraction form.Now we multiply 1 by 8, and get 8, then we multiply 6 by 8 and get 48.

Evaluate a1 (r)^n-1 for a1 = 2, r= 3, and n = 4.
A. 216
B. 18
C. 32
D. 54

Answers

Option D

[tex]a1(r) {}^{n - 1} [/tex]Putting values:

[tex]2(3) {}^{4 - 1} [/tex][tex]2(3) {}^{3} [/tex][tex]2 \times 27[/tex][tex] = 54[/tex]Hence, Proved.

Answer:

[tex]54[/tex]

Answer D is correct

Step-by-step explanation:

[tex]a_1 \: {r}^{n - 1} \\ 2 \times {3}^{4 - 1} \\ 2 \times {3}^{3} \\ 2 \times 3 \times 3 \times 3 \\ 2 \times 9 \times 3 \\ 2 \times 27 \\ = 54[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

Find the area and perimeter.
5.6 cm

please help!!!!

Answers

Answer:

31.36cm; 22.4cm

Step-by-step explanation:

hope this helps

Answer:

31.36 cm^2,     22.4 cm

Step-by-step explanation:

Area of the square is a^2 = (5.6)^2

= 31.36 cm^2

Perimeter of a Square = 4s

= 4(5.6)

=22.4 cm

Write the equation of a line that
goes through the points (4,4) and
(-1,9).

Answers

Answer:

y+2 = (-1/2)(x-3)

Step-by-step explanation:

Cecilia owns just as many cats as she does birds. If her pets have a total of 18 legs, how many cats does she own?

Answers

Answer:

1

Step-by-step explanation:

You can get this answer by adding 4+4+4+4, equaling out to 16...but how is there 18? well you just add 2 for the bird's legs and that's your answer!!

Hope this helps you love!!!

Answer:

3

Step-by-step explanation:

3 cats with 4 legs = 12

3 birds with 2 legs =6

12 + 6=18

less than a number
Х
A, 12-x
B. 12x
C. X + 12
D. X-12

Answers

Answer:

D) X-12

Step-by-step explanation:

imagine that X = 2 or any number less than 12

A) 12 - X = 12 - 2 = 10

B) 12X = 12 ×2 = 24

C) X + 12 = 2 + 12 = 14

D) X - 12 = 2 - 12 = -10

So, the smallest number is (D)

Hope it's help.

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