What is the value of this expression

Answer:

Option (3)

Step-by-step explanation:

Explicit formula of the sequence is,

[tex]a_n=3^n+4[/tex]

From this explicit formula,

First term of the sequence will be,

[tex]a_1=(3^1)+4[/tex]

[tex]a_1=7[/tex]

Second term of the sequence,

[tex]a_2=(3^2)+4[/tex]

[tex]a_2[/tex] = 13

3rd term of the sequence,

[tex]a_{3}=(3^3)+4[/tex]

   = 31

Sequence formed,

7, 13, 31 ..........

From the given options,

Recursive formula,

[tex]a_n=3a_{n-1}-8[/tex]

[tex]a_2=3(a_1)-8[/tex]

[tex]a_2=3(7)-8[/tex]

[tex]a_2=21-8[/tex] = 13

[tex]a_3=3a_2-8[/tex]

[tex]a_3=3a_2-8[/tex]

[tex]a_3=3(13)-8[/tex]

    = 39 - 8

    = 31

Sequence formed from this recursive formula will be,

7, 13, 31........

Therefore, Option (3) will be the answer.

Answer:

C

Step-by-step explanation:

i took the test

Answer:

U = x^2

hope this helped!

Answer:

x^2

Step-by-step explanation:

The person above me is spitting mad facts and da TRUTH and also UNUS ANNUS

Answer:

The pilot above at 1000m above ground and pilot below 742.23 metres above ground

Step-by-step explanation:

Imagine everything as triangles. Mark where the boy stands and the 2 jets are in the air

Answer:

The first term as 2.

Pattern: Multiply the previous term and 2 to get the next term.

Step-by-step explanation:

The pattern is every term is 2× the previous term.

The sequence of the differences, 2, 4, 8, 16, 32, … is geometric. The pattern is every term is 2 times the previous term.

The geometric series is a series in which the ratio of two consecutive numbers is constant.

The sequence of the differences, 2, 4, 8, 16, 32, … is geometric.

So, The ratio of two consecutive numbers is constant.

r = 4/2 = 2

r = 8/4 = 2

Thus, The pattern is every term is 2 times the previous term.

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Answer:

nope!

Step-by-step explanation:

mean= average, total of numbers/ amount of numbers

median- if all the numbers were in a line what would be in the middle

mode-most reoccuring number- remember it cos it rhymes with most :)

hope this helps :)

can u pls give brainliest? :)

Answer:

No

Step-by-step explanation:

when you have a list of numbers:

The mean is all of the numbers added up and then divided by the number of numbers.

The median is "the middle number" So line them up in numerical order and find the middle number.

The Mode is the biggest number subtracted from the smallest number.

Answer:

[tex]\frac{x+6}{x}[/tex]

Step-by-step explanation:

=> [tex]\frac{x^2+4x-12}{x^2-2x}[/tex]

=> [tex]\frac{x^2+6x-2x-12}{x(x-2)}[/tex]

=> [tex]\frac{x(x+6)-2(x+6)}{x(x-2)}[/tex]

=> [tex]\frac{(x-2)(x+6)}{x(x-2)}[/tex]

Cancelling (x-2)

=> [tex]\frac{x+6}{x}[/tex]

Answer:

3018

Step-by-step explanation:

an = a1 + (n-1)d

a1 is the first term in the sequence = 24

n is the term number which is 500

d is the common difference

Take the second term and subtract the first term to find the common difference

d = 30-24 = 6

a500 = 24 + (500-1) *6

          =24+ 499*6

          =24 + 2994

          =3018

Answer:

3018 is the correct answer.

Answer : The fifth term in the sequence is -2.

Step-by-step explanation :

As we are given that the expression to calculate the [tex]n^{th}[/tex] term.

The expression is as follows:

[tex]a_n=2(-1)^n[/tex]

where,

n is the number of term

Given:

n = 5

Now putting the value of n in the above expression, we get:

[tex]a_n=2(-1)^n[/tex]

[tex]a_5=2(-1)^5[/tex]

[tex]a_5=2\times (-1)[/tex]

[tex]a_5=-2[/tex]

Therefore, the fifth term in the sequence is -2.

Answer:

V = 200 pi units ^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

V = 1/3 pi ( 10 ^2) (6)

V = 1/3 pi (100) *6

V = 200 pi

Answer:

C

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other.

Thus the angle at the intersection of the diagonals is 90°

The sum of the 3 angles in a triangle = 180°

Sum the angles in the lower triangle and equate to 180, that is

90 + x + x + 40 = 180

2x + 130 = 180 ( subtract 130 from both sides )

2x = 50 ( divide both sides by 2 )

x = 25 → C

The value of x is 25.

What are some of the properties of a rhombus?

Given

ABCD is a rhombus,

∠CAD = x°,

∠BDA = (x + 40)°.

Find the equation in x

Let the point where the diagonals intersect be E.

Then, using the property of the rhombus ∠AED = 90°.

We know, in a triangle that the sum of all the three interior angles equals 180°. So, we get,

     ∠AED + ∠BDA + ∠CAD = 180°

⇒                 ∠BDA + ∠CAD = 180° - ∠AED

                                                = 180° - 90° = 90°      (∠AED = 90°)

Put the given values of these angles,

          (x + 40)° + x° = 90°.

This is the equation to be solved to obtain x.  

Solve for x  

           (x + 40)° + x° = 90°

⇒   (2x)° = 90° - 40° = 50°

⇒         x° = (50 / 2)°

⇒         x = 25.

The required value of x is 25.

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Answer:

1. y = -2n + 9

2. y = (1/2)x + 1/2

Step-by-step explanation:

1.

The equation of a line is denoted by y = mx + b, where m is the slope and b is the y-intercept.

Slope is calculated by taking two coordinates and dividing the difference of the y-coordinates by the difference of the x-coordinates. The y-intercept is where the line intersects the y-axis.

Let's choose any two points on the line: (4, 1) and (3, 3). Then:

slope = m = (3 - 1) / (3 - 4) = 2 / (-1) = -2

Now, we can also see that at the point (0, 9), the line intersects the y-axis, so that means b = 9.

The equation is thus y = -2n + 9.

2.

Let's again choose any two points to find the slope: (1, 1) and (3, 2). Then:

slope = m = (2 - 1) / (3 - 1) = 1/2

We can see that the line crosses the y-axis at the point (0, 1/2), so that means b = 1/2.

The equation is thus y = (1/2)x + 1/2.

~ an aesthetics lover

Answer:

1. y = -2x + 9

2. y = (1/2)x + 1/2

Step-by-step explanation:

There was a mistake on the last one so I would like to correct it it is

y= -2x+9

The other one said -2n its -2x

Answer:

-5.2

Step-by-step explanation:

15.6/-3= - 15.6/3= -5.2

Answer:

D

Step-by-step explanation:

We can substitute y = 2x + 1 in the second equation

2x + 1 = -7x + 8

Add 7x to both sides

9x + 1 = 8

Subtact 1 from both sides

9x = 7

x = 7/9

Substituing x in the first equation

y = 14/9 + 1

x rounds to 0.8

y rounds to 2.5

Answer:

The answer is; the snail moved 1 inch every 20 minutes.

Step-by-step explanation:

120 divided by 6 is 20

Answer:

A) 1 Over 20 of an inch per minute

Step-by-step explanation:

I took this test and got 100

Answer:

58.43%

Step-by-step explanation:

The first thing we must do is calculate the probability of when both are equal, that is, take out two cookies of the same type, since we can calculate that they are not equal by means of their complement:

The probability that they are equal is:

P (plain, plain) = (12/20) (11/19)

= 132/380

P (chocolate, chocolate) = (5/20) (4/19)

 = 20/380

P (currant, currant) = (3/20) (2/19)

= 6/380

The final probability would be the sum of these:

P (equal) = 132/380 + 20/380 + 6/380

P (equal) = 158/380

P (equal) = 0.4157

The probability that they are different is the opposite of the probability that they are equal, that is, the complement. Therefore, the probability that they are different is:

P (different) = 1 - 0.4157

P (different) = 0.5843

In other words, the probability would be 58.43%

I belive,

The experimental probability could be more, the same or less than the theoretical probability of rolling a 1 (which is 1/6).  

The larger your sample (i. e., as you go beyond 60 tosses), the closer the two different probabilities are likely to be.  (Think:  Law of Large Numbers).

Answer:

Step-by-step explanation:

Jsiehsjsndj im here to get you a brainliest

Answer:

x = -2

y = 4

Step-by-step explanation:

6x-5y=-32

-7x+8y=46

Solve for x in the first equation.

6x = -32 + 5y

x = (-32 + 5y) /6

x = 5/6y - 16/3

Put x as 5/6y - 16/3 in the second equation and solve for y.

-7(5/6y - 16/3) +8y = 46

-35/6y+112/3 +8y = 46

13/6y + 112/3 = 46

13/6y = 46 - 112/3

13/6y = 26/3

y = 26/3 × 6/13

y = 4

Put y as 4 in the first equation and solve for x.

6x-5(4)=-32

6x-20 = -32

6x = -32+20

6x = -12

x = -12/6

x = -2

Answer:

4

Step-by-step explanation:

Multiples of 7 and 3 are 21, 42, 63, 84

Hope this helps.

Answer:

21, 42, 63, 84

Step-by-step explanation:

Cards with both star and circle are multiples of both 3 and 7, ie 3*7= 21

21, 21*2= 42, 21*3= 63, 21*4= 84

So 21, 42, 63 and 84 are the required numbers

The answer is step 2. hope it helps.

Answer:

step 2

Step-by-step explanation:

Answer:16

Step-by-step explanation:

32/16=2

8*2=16

Hope that helps :D

Answer:

16

Step-by-step explanation:

Direct variation

y = kx

16 = k*8

Divide each side by 8

16/8 = 8k/8

2 = k

The equation is y =2x

y =2x

Let y =32

32 = 2x

Divide by 2

32/2 = x

16 =x

Answer:

x= 4

[tex]perpendicular (p) = \sqrt{x} + 1[/tex]

[tex]base(b) = 2 \sqrt{x} [/tex]

[tex]hypotenuse(h) = 2 \sqrt{x} + 1[/tex]

According to the Pythagoras Theoram,

p²+b²= h²

[tex] {( \sqrt{x } + 1) }^{2} + {(2 \sqrt{x} )}^{2} = {(2 \sqrt{x} + 1)}^{2} [/tex]

Answer:

4

Step-by-step explanation:

2√x, √x + 1, 2√x + 1 sides of triangle

√x= y

2y, y+1, 2y+1

(2y)²+(y+1)²= (2y+1)²

4y²+y²+2y+1= 4y²+4y+1

y²-2y=0

y=0 (discarded as side can't be zero) or y= 2

so √x=2 ⇒ x= 4

Answer:

3375/13

Step-by-step explanation:

it's found though this equation  [tex]\frac{84375/25}{325/25}[/tex]

Answer:

[tex]3375/13[/tex]

Step-by-step explanation:

[tex]84,375/325[/tex]

Divide the numerator and denominator by 25.

[tex]3375/13[/tex]

[tex]=259.615385[/tex]

Answer:

Step-by-step explanation:

85% of 2500 m

= 85/100 × 2500 = 2125 m

hope this helps

plz mark it as brainliest!!!!!!

Answer:

2125

Step-by-step explanation:

85% times 2500

19

Step-by-step explanation:

The first term of the arithmetic sequence is  4x+3.

An ordered group of numbers with a shared difference between each successive term is known as an arithmetic sequence.

The formula to find the nth term of an arithmetic sequence is,

aₙ= a+(n-1)d

Where a is the 1st term and d is the common difference.

Let the first term of sequence is a and the common difference is d.

Given that,

The 5th term of the arithmetic sequence = 16x+11,

⇒ a+4d= 16x+11      (1)

And the 9th term of the arithmetic sequence = 28x+19,

⇒ a+8d= 28x+19    (2)

To find the first term of the sequence, multiply equation (1) with 2 and subtract equation (2) from it.

(2a+8d)-(a+8d) = (32x+22) - (28x+19)

a = 4x+3

The first term of the arithmetic sequence is  4x+3.

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Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Just stick it into a calculator lol

Answer:

Step-by-step explanation:

Assume that the two prisms have bases of equal area.

Then the volume of the rectangular prism is V = (base area)(height).

The volume of the triangular prism is V = (1/3)(base area)(height)

We could compare the two volumes by creating the ratio inequality

  (1/3) (base area)(t-height)

------------------------------------------

      (base area)(r-height)

The triangular prism will have the greater volume for (1/3)((t-height) > r-height.

Answer:

<x = 36°

Step-by-step explanation:

In a regular decagon, Every interior angles is equal to 144.

So,

<x + 144 = 180 [Angles on a straight line]

<x = 180-144

<x = 36°

Answer:

173.6

Step-by-step explanation:

0.7(248)

173.6

Answer:

£ 173.6

Step-by-step explanation:

£248 *0.30= 74.4

£248 -74.4 =173.6

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder

h represents the height of the cylinder

π is a constant

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Where

r represents the radius of the cone

h represents the height of the cone

This means that the volume of the cone is 1/3 × volume of cylinder. Since the volume of the given cylinder is 230 cubic units, then

Volume of cone = 1/3 × 230 = 76.7 cubic units

Answer:

the independent variable is 32 (price of the car in dollars) as it stands alone without a variable and 1.95 is the dependent (cost per mile)