What is the next number in the sequence?
3,12, 21, 30,?
A. 39
B. 33
C. 51
D. 42

Answer: Lemniscate

Step-by-step explanation:

The name of the shape depicted in the graph is Lemniscate option (B) is correct.

It is defined as a two-dimensional shape that has a two-closed curve that meets at the center. The shape exactly looks like a mathematical symbol infinity ∞

The lemniscate is a Greek word that means a ribbon because the shape looks like a ribbon.

The algebraic equation for the lemniscate is given by:

[tex]\rm \left(x^{2}+y^{2}\right)^{2}=a \left(x^{2}-y^{2}\right)[/tex]

Where a is the constant.

If we put x = 0 and a = 1 we get y = 0

If we put x = 1 and a = 1 we get y = 0

If we put x = -1 and a = 1 we get y = 0

And so on we will get a curved shape shown in the picture.

Thus, the name of the shape depicted in the graph is Lemniscate option (B) is correct.

Learn more about the lemniscate here:

https://brainly.com/question/12478682

Answer:

Adam smith

he is known as father of economics.

hope it helps

Answer:

Adam Smith

Step-by-step explanation:

Answer:

hope it helps mark as brainliest

Answer:

pi

Step-by-step explanation:

First find the circumference of the circle

C = 2 * pi*r

C = 2 * pi *2

C = 4pi

A quarter circle is 1/4 of a circle

1/4 C = 1/4 (4pi)

1/4C = pi

Answer:

Solution given:

perpendicular [P]=80ft

base[B]=18ft

hypotenuse [H]=?

By using Pythagoras law

H²=P²+B²

H²=80²+18²

H=[tex]\sqrt{6724}=82[/tex]

the length of the hypotenuse in feet is 82ft.

Answer:

The correct answer is d

Step-by-step explanation:

A graph of a non-vertical straight line is a linear function

Answer:

-2g-11

Step-by-step explanation:

2(3g-4)-(8g+3)

6g-8-8g-3

-2g-11

Answer:

we use side of triangle to find area and divide by 2 so first one is 15*15+ 8*15/2 225+60=285

Answer:

The leading term is 5x8. Since n is even and a is positive, the end behavior is down and up.

Answer:

12

Step-by-step explanation:

because you replace  8 with 3

Answer:

Step-by-step explanation:

[tex]f(x) = g(x)\\\\x^2 - 8x -15 = -4x +6\\\\x^2 - 8x -15 +4x -6 = 0\\\\x^2 -4x -21 = 0\\\\x^2 -7x + 3x -21=0\\\\x(x-7)+3(x-7)=0\\\\(x+3)(x-7)=0\\\\x= -3, 7[/tex]

x = -3 , 7

f (x) = g(x)

x ² − 8x −15 = −4x + 6

x ² − 8x − 15 + 4x − 6 = 0

x ² −4x−21 = 0

x ² −7x + 3x −21 = 0

x ( x − 7 ) + 3( x − 7 ) = 0

( x + 3 ) ( x − 7 ) = 0

x = −3, 7

Answer:

It already is in standard form btw

Step-by-step explanation:

Answer:

5690 is standard form

five thousand six hundred ninety is word form

5000+600+90 is expanded form

hope this helps

have a good day :)

Step-by-step explanation:

9514 1404 393

Answer:

  156°   or   13π/15 radians

Step-by-step explanation:

156 times 1° is 156°.

In radians, the angle measure is (156°)(π/180°) = 13π/15 radians.

Answer:

x = 5

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x.

Add 3 and subtract 2x from both sides of the equation:

4x (-2x) - 3 (+3) = 2x (-2x) + 7 (+3)

4x - 2x = 7 + 3

2x = 10

Next, isolate the x by dividing 2 from both sides of the equation:

(2x)/2 = (10)/2

x = 10/2

x = 5

5 is your answer for x.

~

Answer:

x=5

Step-by-step explanation:

4x-3=2x+7

Subtract 2x from each side

4x-2x-3=2x-2x+7

2x -3 = 7

Add 3 to each side

2x-3+3=7+3

2x = 10

Divide by 2

2x/2 =10/2

x = 5

Answer:

You would expect for 35 people to have consumed alcoholic beverages.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they consumed alcoholic beverages, or they did not. The probability of a person having consumed alcoholic beverage is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

We learned in Exercise 3.25 that about 70% of 18-20 year olds consumed alcoholic beverages in 2008.

This means that [tex]p = 0.7[/tex]

We now consider a random sample of fifty 18-20 year olds.

This means that [tex]n = 50[/tex]

How many people would you expect to have consumed alcoholic beverages

[tex]E(X) = np = 50*0.7 = 35[/tex]

You would expect for 35 people to have consumed alcoholic beverages.

Answer:

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9514 1404 393

Answer:

  y = 2·3^x

Step-by-step explanation:

The shape of the graph appears exponential. The horizontal asymptote appears to be y=0, so there is no vertical offset. The y-intercept seems to be 2 (we can't really read the numbers), and the y-value seems to increase by a factor of 3 for each additional unit of x.

The multiplier is 2, and the base of the exponential factor is 3. That gives us ...

  y = 2(3^x)

Answer:

resizing by the factor of 5/7

x = 3.5 * 5/7

= 17.5/7

= 2.5

Step-by-step explanation:

You can see the full detailed explanation in the attached files

Answer:can you help me

write a letter to your friend about important of reading books?

Answer:

Area = 189 m^2

Step-by-step explanation:

This is a trapezium with height h=9m, base, b = 24, top, t = 18.

The area is given by

A = (base+top)*height/2

= (24+18)*9/2

= 189 m^2

Answer:

Number of tablet needed = 1 tablet

Step-by-step explanation:

Given:

Amount of calcium per day needed = 3 gram

Amount of calcium in a tablet = 300 mg

Find:

Number of tablet needed

Computation:

Number of tablet needed = Amount of calcium per day needed / Amount of calcium in a tablet

Number of tablet needed = 3gram / 300 milligram

Number of tablet needed = 300 milligram / 300 milligram

Number of tablet needed = 1 tablet

Answer:

400

Step-by-step explanation:

angles that are coterminal with the angle 400? => 4000 and 7600 are two positive coterminal angles.

Answer:

18% off

Step-by-step explanation:

i just took the test

Answer:

y-15=3x balakaksnzujsbhzbskndh

Answer:

x = - 6 , y = - 3

Step-by-step explanation:

y - 15 = 3x  => y = 3x + 15 ------- ( 1 )

-2x + 5y = - 3 --------- ( 2 )

Substitute ( 1 ) in ( 2 ) :

-2x + 5 ( 3x + 15) = - 3

-2x + 15x + 75 = - 3

 13x = - 3 - 75

 13x = - 78

   x = - 6

Substitute x in ( 1 ) :

         y = 3x + 15

            = 3 ( - 6 ) + 15

            = - 18 + 15

          y  = - 3

Answer:

x = -1

y = 6

Step-by-step explanation:

We can multiply the second equation by two, so we can have opposite y terms:

2 (3x - 2y = -15)

6x - 4y = -30

Now, we can add the equations, and the y terms can cancel out:

  7x + 4y = 17

+ 6x - 4y = -30

13x = -13

x = -1

Now, we can plug in x:

3(-1) - 2y = -15

-3 - 2y = -15

-2y = -12

y = 6

Answer: 8

Step-by-step explanation

Answer:

$8

Step-by-step explanation:

If we just keep track of the money in the account, we can solve this pretty quickly. If the balance is -20, and we subtract another 10 from it, it gives us -30. $38 is then deposited into the account, giving us a balance of $8.

[tex]-20-10+38=8[/tex]

Undefined.

All lines that are parallel to the y-axis have an undefined slope.

Answer:

This is an Undefined Slope