4. If the ratio of 5 th term to 11th term of an A.P. is 5:2, then the value of
term is
15th

Answers

Answer 1

Answer: The value of 15th term is 0

Step-by-step explanation:

The nth-terms of an AP is written as [tex]a+(n-1)d[/tex]

where,

a = first term

n = number of term

d = common difference

5th tem will be = [tex]a+4d[/tex]

11th tem will be = [tex]a+10d[/tex]

15th tem will be = [tex]a+14d[/tex]

The given ratio between 5th and 11th term is 5 : 2

Taking the ratios:

[tex]\Rightarrow \frac{a+4d}{a+10d}=\frac{5}{2}\\\\\Rightarrow 2a+8d=5a+50d\\\\\Rightarrow 3a+42d=0\\\\\Rightarrow 3(a+14d)=0\\\\\Rightarrow a+14d=0[/tex]

Hence, the value of 15th term is 0


Related Questions

Plssss Help me, Im so confused, this will decide if i get into my dream school!!!! Plsss help me!

Answers

Answer:

-24

Step-by-step explanation:

First solve -4(-2)

which is +8

Next solve 8(-3)

which is equal to -24

Hope this helps

Good luck with your school

Answer:

i think it's -24

Step-by-step explanation:

I used photo math

Find c. Round to the nearest tenth: 2 cm 1050 c = [? ]cm Law of Sines: sin sin B b Enter​

Answers

9514 1404 393

Answer:

  0.5 cm

Step-by-step explanation:

I prefer to write the proportion so the unknown value is in the numerator.

  c/sin(C) = b/sin(B)

  c = b×sin(C)/sin(B) = (2 cm)×sin(15°)/sin(105°) ≈ 0.535898 cm

  c ≈ 0.5 cm

_____

For those of you looking for 'a', that value is shown in the attachment.

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Answers

[tex] \large{ \boxed{ \tt{OUR \: ANSWER : \underline{ \$ \: 583.3125}}}}[/tex]

Well , You can solve this question using two ways. I'm gonna use the both ways to make you clear and the one which you can easily understand , pick up that way and start solving another question as similar as this one.

[tex] \large{ \tt{❃ \: FIRST \: METHOD }} : [/tex]

This method is related to the unitary method. Let's start :

We're provided - Amount Kelly earns per hour for gardening = $ 12.75 and we're asked to find out the amount she earn if she worked 45.75 hours this month.

We know , Kelly probably earns more money if she worked 45.75 hours comparison to if she worked 1 hour. So You just multiply 45.75 & 12.75 , you would get $ 583.3125 and that's your final answer.

[tex] \large{ \tt{❃ \: SECOND \: METHOD}} : [/tex]

This method is related to the proportion. If you haven't learned about it yet , use the above way to solve the similar type of questions. Let's start :

Let Kelly earns X dollars if she worked 45.75 hours this month. [ Now , See the attached picture ]

Here , we can see the time is increased which implies that money will surely be increased. Such type of proportion is called direct proportion.

Here , the ratio of time ( in hours ) = 1 : 45.75 and the ratio of amount ( in dollars ) = 12.75 : x . Now , Set up an equation and solve for x :

[tex] \large{ \tt{ ❁ \: \frac{1}{45.75} = \frac{12.75}{x}}} [/tex]

[tex] \large{ \tt{↦ \: 1 \times x = 45.75 \times 12.75}}[/tex]

[tex] \large{ \tt{↦x = \$ \: 583.3125}}[/tex]

Hence , She earned $ 583.3125 .

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Soda is sold in aluminum cans that measure 7 inches in height and 2.8 inches in diameter. How many cubic inches of soda are contained in a full can?

Answers

9514 1404 393

Answer:

  43.1 in³

Step-by-step explanation:

The volume can be computed using the formula ...

  V = (π/4)d²h . . . . where d is the diameter and h is the height

For your dimensions, the volume is ...

  V = (π/4)(2.8 in)²(7 in) ≈ 43.103 in³

A full can contains a volume of about 43.1 cubic inches.

Find the circumference of this circle
using 3 for 7.
C ~ [?]
2.
C = 27r

Answers

Answer:

[tex] \displaystyle C = 12[/tex]

Step-by-step explanation:

remember circumference formula

[tex] \displaystyle C = 2\pi r[/tex]

given that,r=2 thus substitute:

[tex] \displaystyle C = 2\pi .2[/tex]

simplify mutilation:

[tex] \displaystyle C = 4\pi [/tex]

substitute the given value of π:

[tex] \displaystyle C = 4.3[/tex]

simplify multiplication:

[tex] \displaystyle C = 12[/tex]

and we are done!

Answer:

C = 12.

Step-by-step explanation:

Given :-

Radius of circle , r = 2.Value of pi, π = 3

To find :-

Circumference of circle

Formula for finding circumference of circle;

Circumference of circle = 2 × π × radius.

Solution :-

Circumference of circle = 2 × π × radius.

Substitute the value of radius into the formula.

Circumference of circle = 2 × π × 2

Multiply ; 2 × 2

Circumference of circle = 4 π.

plug 3 as π.

Circumference of circle = 4 × 3

Multiply to get

Circumference of circle = 12

A coordinator will select 7 songs from a list of 13 songs to compose an event's musical entertainment lineup. How many different lineups are possible

Answers

Answer:

8,648,640 different lineups are possible.

Step-by-step explanation:

The order in which the musics are there is important(lineup means that order matters), which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

How many different lineups are possible?

7 musics from a set of 13. So

[tex]P_{(13,7)} = \frac{13!}{(13-7)!} = \frac{13!}{6!} = 8648640[/tex]

8,648,640 different lineups are possible.

The midpoint of AB is M(2,0). If the coordinates of A are (-3, 3), what are the coordinates of B?

Answers

Given:

M is the midpoint of AB.

M(2,0) and A(-3, 3).

To find:

The coordinates of point B.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get

[tex](2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{-3+a}{2}=2[/tex]

[tex]-3+a=2\times 2[/tex]

[tex]a=4+3[/tex]

[tex]a=7[/tex]

And,

[tex]\dfrac{3+b}{2}=0[/tex]

[tex]3+b=0[/tex]

[tex]3+b-3=0-3[/tex]

[tex]b=-3[/tex]

Therefore, the coordinates of point B are (7,-3).

Please show work for BRAINLIEST

Answers

Answer:

the anser is 54 cm square (30+15+9)

Answer:

it area is 54 cm square

Step-by-step explanation:

first point it's divide in three part . it's first is up side 3 by 3 . it's second part is middle side 3 by 5. it's third part is down side 10 by 3.then a

Need help solving for x, look at image above

Answers

Answer:

x = 1.2

Step-by-step explanation:

We can use a ratio to solve since they are similar triangles

6        (6+4)

----- = ---------

x             2

Using cross products

6*2 = (6+4)*x

12 = 10x

Divide by 10

12/10 = x

1.2 =x

Hope this help!!!

Have a nice day!!!

5. If the lines 2x + 3ay – 1 = 0 and 3x + 4y + 1 = 9 are mutually perpendicular, then the value of a is (1 Point) O a. O b.3 O-1/2​

Answers

because the multiplication Slope of 2 perpendicular is -1

⚠️⚠️HELP DUE IN 3 HOURS⚠️⚠️

If f(1)=10 and f(n)=-2f(n-1) then find the value of f(5)

Answers

9514 1404 393

Answer:

  f(5) = 160

Step-by-step explanation:

The first several terms of the sequence are ...

  10, -20, 40, -80, 160, -320, 640, ...

Each term is -2 times the previous term.

  f(5) = 160

Based on the graph, between which two values of x is a zero of g located?

Answers

Answer:

Between 4 and 5

Step-by-step explanation:

Given

See attachment for graph

Required

Between which points is g(x) = 0

From the attachment, we can see that the graph crosses the x-axis at 4... and -1...

This means that

g(x) = 0 between 4 and 5

g(x) = 0 between -1 and -2

Going by the available options,

g(x) = 0 between 4 and 5

Which of the following equations has the solution set {0}?

-14m - 7m + 1 = -7m + 1
-14m + 7m + 1 = -7m + 2
14m - 7m - 1 = -7m + 1

Answers

Answer:

the first one

-14m - 7m + 1 = - 7m + 1

How can she find the coordinates of the new point without graphing the point?

Answers

How can she find the coordinates of the new point without graphing the point?

If you know the coordinates of any two points on a straight line, you can compute its slope without looking at its graph. Every point has two coordinates: an x-value and a y-value, which are expressed as an ordered pair (x, y). The x value indicates the horizontal location of a point.

☆彡Hanna

#CarryOnLearning

Can someone help me?

Answers

Answer:

1. True, because when performing the calculations in both sides of the equation, we find that the left value is indeed the same as the right value

4-3+5 = 1+5 = 6

-6+8+4 = 2+4 = 6

6=6, so the sentence is correct

2+5 = 19-12 => 7=7, true

5-4-3-2-1 = 30-34-1 => -5=-5, true

2(x+5)-4x = 3(x-2)-5x+16

=> 2x+10-4x = 3x-6-5x+16

=> -2x+10 = -2x+10, true

Step-by-step explanation:

the other two sentences lead to false

4/5 + 1/5 = 2 - 1 - 1, => 5/5 = 1 = 0, false

2(x+8) = 2x-8, => 2x+16 = 2x-8 => 16=-8, false

which integer is 3 less then -7

Answers

Answer:

-10

Step-by-step explanation:

you did not have to come on here for this annswer could have subtracted -7-3=-10

Answer:

Step-by-step explanation:

Any question that has less in it, is a question that you should pay attention to.

-7 -3 = - 10

You have to think of this the way you would money. Which would you rather owe - 7 dollars or - 10 dollars. Surely you would say that - 7 is better than - 10.

So - 10 looks like it is  three less than - 7

It works if the money thing makes sense to you.

If that doesn't work then think of a number line. As you keep on going left, the number looks like it is getting bigger, but is it. Again - 10 is smaller than - 7.

If you are talking about plus numbers then 3 less then 7 is not 10. It is 4.

Plz help this is due in an hour

Answers

Answer:

2X+3+X-6 =180

3X-3+3=180+3

3X=183

X=61

Answer:

x = 61

Step-by-step explanation:

The angles shown form a straight line

Angles that form a straight line add up to equal 180

Hence, 2x + 3 + x - 6 = 180

( note that we just created an equation that we can use to solve for x )

We now solve for x using the equation created

2x + 3 + x - 6 = 180

step 1 combine like terms

2x + x = 3x

3 - 6 = - 3

we now have 3x - 3 = 180

step 2 add 3 to each side

-3 + 3 cancels out

180 + 3 = 183

we now have 3x = 183

step 3 divide 3 from each side

3x / 3 = x

183 / 3 = 6

we're left with x = 61

PLS HELP! If f(x) = -9x + 12, and f(x) = -6, find x.

Answers

Answer: x=2

Step-by-step explanation:

-6=-9x+12

Subtract 12

-18=-9x

Divide by -9

X=2

Answer to the question

Answers

Answer:

x = 48.

Step-by-step explanation:

AE and EC are equivalent. Subtract 9 from 921, and divide by 19 to get the value of x, which is 48.

need help asap! will give the first right answer brainliest!

Answers

Answer:

Step-by-step explanation:

12

Answer:

b think if I'm wrong let me know

HOLA SOY ESPAÑOL VINE VER COMO SE VEN ESCRIBIENDO EN INGLIS NO SE NADA DE INGLIS SE PORCO PERO BUENO QUIEN QUIRE HABLAR CON UN ESPAÑOL

SALUDOS DEL FLENIX777Apoyo

Answers

Yo quiero porque no.

Which of the following exponential functions represents the graph below

Answers

9514 1404 393

Answer:

  D

Step-by-step explanation:

The exponential function is decreasing everywhere, so the base of the exponent must be less than 1. Only one answer choice fits.

Anyone knows the answer ??

Answers

Answer:

Hello! answer: 17

Step-by-step explanation:

15 × 15 = 225

8 × 8 = 64

225 + 64 = 289

√289 = 17 17 × 17 = 289 Therefore the answer is 17 hope that helps!

Answer:

17

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]8^{2} + 15^{2} = c^{2}[/tex]

289 = [tex]c^{2}[/tex]

square root both sides

c = 17

which of the following is not a pythagorean triple?

Answers

Answer:

A

Step-by-step explanation:

7^2+8^2 does NOT equal 9^2

A. (7,8,9)


Did the test just now.

: (570)=2 م Let m 1 = (342) and m .16 = m1= =OFE هم (​

Answers

Answer:

x = 6

m<1 = 20°

m<CFE = 140°

Step-by-step explanation:

m<1 = (3x + 2)°

m<2 = (5x - 10)°

✔️Given that FB bisects AFC, therefore,

m<1 = m<2

Substitute

3x + 2 = 5x - 10

Collect like terms and solve for x

3x - 5x = -2 - 10

-2x = -12

-2x/-2 = -12/-2

x = 6

✔️m<1 = 3x + 2

Plug in the value of x

m<1 = 3(6) + 2

m<1 = 18 + 2

m<1 = 20°

✔️m<CFE = 180° - m<AFC (angles on a straight line)

m<CFE = 180° - (m<1 + m<2)

m<CFE = 180° - (20 + 20)

m<CFE = 180° - 40°

m<CFE = 140°

For the function f(x) = -12x^2 + 6x - 8 find the equation of the tangent line at x= -1

Answers

Let, f(x) = y = -12x^2+6x-8

Substitute x = -1 in f(x) we get y = -26

y = -12x^2+6x-8

Differentiate ‘y’ w.r.t ‘x’ we get

dy/dx = -24x+6

By putting value of ‘x’ we get

dy/dx = 30

Slope(m)=dy/dx = 30

Equation of tangent => (y - y1)=m(x - x1)

Here, x1= -1 and y1 = -26 and m = 30

So, (y - (-26)) =30(x - (-1))

y+26=30(x+1)

y+26=30x+30

30x - y + 4 =0 is the equation of tangent at x = -1

Answer:

y=30x+4

Step-by-step explanation:

if m=17 and b=6,find m

Answers

Answer:

M) = 17

Step-by-step explanation:

You stated the answer right there. I think the question is missing more info but for now M=17

Answer to the question

Answers

Answer:

x = 48.

Step-by-step explanation:

If AE is 921, then EC is equivalent to that. First, you subtract 9 from 921, then divide by nineteen to get your answer: x = 48.

find the polynomial of minimum degree, with real coefficients, zeros at x=-4+1i and x=8, and y intercept at -408

Answers

Answer:

(x-8)(x+4-i)=x^2+4x-ix-8x-32+8i=x^2-(4+i)x-32+8i

y=x^2-(4+i)x-32+8i

Check:

D=16+8i-1+128-32i=143-24

Which one of the them please?

Answers

Answer:

Dog.

Step-by-step explanation:

Because:-

Tomato is much lighter.

Pineapple is not convincing

Dog is reliable.

Pencil is not correct.

Dog. Source: trust me bro
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