in the following APs,find the missing terms in the boxes
1). 5_,_,9/2
2).-4,_,_,_,_,6
3)._,38,_,_,_,-22​

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

(1)

Given a₁ = 5 and a₄ = [tex]\frac{9}{2}[/tex] , then

5 + 3d = [tex]\frac{9}{2}[/tex] ( subtract 5 from both sides )

3d = - [tex]\frac{1}{2}[/tex] ( divide both sides by 3 )

d = - [tex]\frac{1}{6}[/tex]

add - [tex]\frac{1}{6}[/tex] to each term

5,  [tex]\frac{29}{6}[/tex],  [tex]\frac{14}{3}[/tex],  [tex]\frac{9}{2}[/tex]

(2)

Given a₁ = - 4 and a₆ = 6, then

- 4 + 5d = 6 ( add 4 to both sides )

5d = 10 ( divide both sides by 5 )

d = 2

Add 2 to each term

- 4,  -2,  0,  2,  4,  6

(3)

Given a₂ = 38 and a₆ = - 22, then

a₁ + d = 38 → (1)

a₁ + 5d = - 22 → (2)

Subtract (1) from (2) term by term

4d = - 60 ( divide both sides by 4 )

d = - 15

Substitute d = - 15 into (1)

a₁ - 15  = 38 ( add 15 to both sides )

a₁ = 53

Thus

53,  38,  8,  - 7,  - 22


Related Questions

When you make an electronic payment from your checking account, the bank __________ identifies the bank where you have an account. A:Withdrawal number b:Deposit number c:Certified number d:Routing number

Answers

Answer:

d: Routing number

Step-by-step explanation:

To understand how to get d as your answer, when you go to any bank and insert your credit/debit card, it compares the routing number to the bank and sees if you have an account at the bank.

If the ratio of the surface areas of two similar geometrical solids is given by 121:36, what is the
ratio of their volumes?

Answers

Answer:

1331:216

Step-by-step explanation:

Given the ratio of the lengths of two similar solids as a:b

The ratio of the surface areas = [tex]a^2:b^2[/tex]

The ratio of the volume = [tex]a^3:b^3[/tex]

We are given that the ratio of the surface areas of two similar geometrical solids is given by 121:36

Therefore:

[tex]a^2:b^2=121:36\\\implies a^2:b^2=11^2:6^2\\\implies a:b=11:6[/tex]

Since the ratio of the lengths is 11:6

The ratio of their volumes = [tex]11^3:6^3[/tex]

=1331:216

The ratio of the volume of the two similar geometrical solids is 1331:126.

Complete the square
to find the vertex
of this parabola.
2
X -- 4 y-12 x+68=0
([?], [ ]
PLEASE HELP ASAP

Answers

The sneer to all the question is X=1

Answer: 6,8

Step-by-step explanation:

Ms. Daffy tells you that the longest side of her right-triangular garden is 26m and one of the sides is 14m. A. She asks you to find the other side of the garden.

Answers

Answer:

22m

Step-by-step explanation:

The computation is shown below:

Since it is a right-triangular garden so we use the pythagoreus theorem

As we know that

The C^2 refers to the longest side of the right-triangular garden

So,

a^2 + b^2 = c^2

a^2 + 14^2 = 26^2

a^2 + 196 = 676

a^2 = 480

So a = 22m

Hence, the other side of the garden is 22m

Determine the intercepts of the line.

Answers

Answer:

Hi!

The x-axis is the line that goes horizontal (from left to right) and the y-axis is the line that goes vertical (up and down). Intercepts are points that meet or intersect the axis. The x-intercept is (-40,0). The y-intercept is (0,15).

Hope this helps!

xx gloriouspurpose xx

Find the m∠Z.

12degrees
15.5
4.4
47.7

Answers

Using Sine rule,

[tex] \frac{\sin 96 \degree}{48}=\frac{\sin Z}{10}\\

\implies \sin Z=\frac{5\sin (96\degree)}{24}\\

\implies Z \approx 12\degree[/tex]

What is the product of (x-5) and (x-4)? Use the model to find the result

Answers

Answer:

The product of the model  is [tex]x^2-9x+25[/tex]

Step-by-step explanation:

Given the expression  (x-5) and (x-4)

The product of the two factors can be expressed as follows

[tex]= (x-5) (x-4)\\=x(x-4)-5(x-5)\\[/tex]

Opening brackets we have

[tex]=x^2-4x-5x+25[/tex]

Collecting like terms we have

[tex]=x^2-9x+25[/tex]

Question 1
Find the area:
110 cm
50 cm
140 cm
180 cm

Answers

A list of four length-measurements doesn't actually have an area.

On my screen, the list is about 2cm wide and 4cm tall, so its area would be about 8cm².  But that's just on my laptop screen.  It would be different on a phone screen.

x divided by 6 - 11 = -10

Answers

Answer:

x = 50

Step-by-step explanation:

[tex]\frac{x}{6-11} =-10\\\\\frac{x}{-5} =-10\\Cross-Multiply\\x = - 10\times -5\\x = 50[/tex]

Equation:

x/6 - 11 = -10

Add 11 to both sides

x/6 = 1

Multiply both sides by 6

x = 6

HELP PLEASE I WILL GIVE 13 POINTS

Answers

Answer:

this difference indicates that the results are independent but not reliable.

to get t school each morning vanessa takes a horse 19.33 kilometers and a train 2.27 kilometers . in total the journey takes 26.48 minutes how many kilometers is vanessa,s journey in total?

Answers

Answer:

Step-by-step explanation:

19.33 + 2.27 + 26.48 = Total journey

19.33 + 2.27 + 26.48 = 48.08 km

Therefore, the total journey is 48.08 km

A line segment has endpoints at (8, 3) and (2,5). What would be the equation of this line's perpendicular bisector?

Answers

Answer:

y  = −1/3x+17/3

Step-by-step explanation:

The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)

Any line that bisects the line segment will pass through its midpoint. The midpoint is (5,4)

Midpoint formula: [tex]( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]

So perpendicular bisector of this line  is simply a line with slope −1/3 that passes through point (5, 4)

y - 4 = -1/3 (x-5)=

y  =  −1/3x+17/3

What is the 30th term of the linear sequence below? −4, −1, 2, 5, 8

Answers

Answer:

83

Step-by-step explanation:

The nth term is   an=3n−7 .

30*3=90

90-7=83

so the 30th term would be 83

i need helppppppppppppp

Answers

Answer:

x=70

z=20

y=30

Step-by-step explanation:

first find x: the sum of straight angle is 180

x+110=180

x=180-110=70

now find z: the sum of the angles of triangle is 180:

x=70, right angle=90

z+70+90=180

find y:

y+110+40=180

y=180-150=30

z=180-160=20

Answer:

x=70 degrees, y= 30 degrees, z=20 degrees

Step-by-step explanation:

110+x=180 => straight angle def.

180-110+40=y => def. of angles in triangle

x( 70 degrees) +90+z=180, z= 20 => angles in triangle

Find the y-intercept of the line on the graph

Answers

Answer: The Y intercept is 2

Step-by-step explanation: Your Y axis is where the line crosses the graph vertically, or going up and down. If you see, your line crosses vertically at 2. Your X intercept is -2.

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

A.

Step-by-step explanation:

The equation is ax^2 + bx + c = 0.

a = -1, and b = 1.

-1x^2 + 1x + c = 0

-x^2 + x + c = 0

Hope this helps!

PLEASE ANSWER THIS VERY FAST!! A gym membership costs $40 per month plus a one time sign up fee of $20. How many months would it take to spend $1000 for the gym membership? about 24 months or 2 years. about 12 months or 1 year. about 36 months or 3 years.

Answers

Answer:

About 24 months

Step-by-step explanation:

1000-20= 980

980/40= 24.5

Answer: about 24 months

Step-by-step explanation:

First subtract 20 from 1000 and then divide the awnser by 40

1000-20= 980

1000/ 40= 24.5

FUNCTIONS HELP ASAP!!!!!

Answers

Answer: A

Step-by-step explanation:

For Kendra to profit $45 after spending $80 she would have to make $125 off of her 100 donuts.  Thus, each donut costs 1.25, thus the 1.25n of the equation.  However, you must also take into account the 80 dollar fee she paid(Thus the - 80).

find the value of the equation which is in below :

[tex]1 \div 4 + \sqrt{3} [/tex]
plz give the answer with step by step explanation ​

Answers

Answer:

[tex]5\sqrt{3}[/tex]

Step-by-step explanation:

[tex]1/4+\sqrt{3} \\1/4+\sqrt{3} (Criss cross)\\1+4\sqrt{3} \\5\sqrt{3}[/tex]

Hope I am correct

Which of the following is the graph of y = StartRoot negative x minus 3 EndRoot?

Answers

Answer:

Use a graphing calc and plug in the equation.

Step-by-step explanation:

Answer:

It's C on EDGE

Step-by-step explanation:

in a town, 11 000 people out of the total population of 50 000 are aged under 18. What percentage of the population is aged under 18 ?

Answers

Answer:

22%

Step-by-step explanation:

1- 11000/50000 = 0.22

2- 0.22 x 100 = 22%

.. ..

According to the Rational Root Theorem, which is not a possible solution of the
equation 2x4 - 5x3 + 10x2 - 9 = 0 ?

Answers

Answer:

  5/2

Step-by-step explanation:

Possible rational roots are ...

  ±(divisor of 9)/(divisor of 2)

So, the possibilities are ...

  ±1/2, ±1, ±3/2, ±3, ±9/2, ±9

The one on your list that is not among these is 5/2.

5/2 is not a possible rational root.

the qestion is the picture​

Answers

Answer:

B.

Step-by-step explanation:

choice A. is Equivalent

choice C. is Equivalent also

choice D. should be Equivalent also i believe...

choice B is NOT Equivalent

so your answer to this question should be choice B.

good luck!

3/(-5) ahahahhdhdhdbdjsj there’s the answer

Help, please!! What is the mR

Answers

Answer: I think it’s B (25)

Step-by-step explanation:

Answer:

Using the sine rule,

36/sin(50)=20/sin(R)

46.9=20/sin(R)

Sin(R)=46.9/20=0.43

R=Sin¯¹(0.43)=25.2°=25°

R=25°

The bearing of a staff room from the assembly ground is 195degrees, what is the bearing of the assembly ground from the staff room?

Answers

Answer:

15°

Step-by-step explanation:

the bearing of the assembly ground from the staffroom is

195-180=15°

EMERGENCY!!!

What is the area of this parallelogram?

Answers

A=bh
A=5x8
A=40 square units

Answer:

40

Step-by-step explanation:

A=Base✖️Height

A=Base(8)✖️Height(5)=40

A car rental charge is $100 plus $5.00 per mile traveled. Create an equation for the situation above.

Answers

Answer:
X = 100$ + 5a$
Where X is the price of a car rent
And a is the amount of mile travel

Jenny starts running at a pace of 10 miles per hour. Her calf starts to hurt after 12 minutes, so she slows down to 6 miles per hour for the rest of her run. If the total distance she runs is 5 miles, how many minutes was the run, in total?

Answers

Answer:

42 minutes

Step-by-step explanation:

Here we want to calculate the number of minutes ran in total.

Kindly note that;

Time = distance/speed

Her starting speed is 10 miles/hour

but she ran for 12 minutes.

Kindly note that 12 minutes = 12/60 = 1/5 = 0.2 hour

So total distance in the first 12 minutes is speed * time = 10 * 0.2 = 2 miles

Now the rest of distance to run would be ;

5 -2 = 3 miles

She ran 3 miles at a speed of 6 miles per hour.

Time spent here is 3/6 = 0.5 hours which is same as 30 minutes

Total time spent = 30 + 12 = 42 minutes

A quadrilateral has its interior angles X, 47, 95, 82. Find
the value of x​

Answers

Answer:

x = 136

Step-by-step explanation:

A quadrilateral always has angles that sum to 360.  Thus, 47 + 95 + 82 + x = 360.  Subtract 47, 95, and 82 from each side and get x = 136.

Hope it helps <3

Please explain how you got the answer, too!

Answers

solve it thn re check it aks help from parents

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