56 students signed up to go on the class trip. If this is 70% of the class, how many students are in the class?

Answer:

Explicit : [tex]a_n=3(2)^{n-1}[/tex]

Recursive: a₁ = 1

                  [tex]a_n=a_{n-1}(2)[/tex]

Step-by-step explanation:

We have to write the recursive formula for the geometric sequence with second term 2 and third term 12.

Geometric sequence will be in the form of,

a, ar, ar², ar³,...........

Here, r = common ratio

a = first term of the sequence

Here, ar = 6 ------(1)

And ar² = 12 ------(2)

By dividing equation (2) by (1),

[tex]\frac{ar^2}{ar}=\frac{12}{6}[/tex]

r = 2

From equation (1),

a(2) = 6

a = 3

Recursive formula of a geometric sequence is given by,

a₁ = a

[tex]a_n=a_{n-1}(r)[/tex]

Therefore, for the given sequence,

a₁ = 1

[tex]a_n=a_{n-1}(2)[/tex]

Similarly, explicit formula of the geometric sequence is given by,

[tex]a_n=a_1(r)^{n-1}[/tex]

[tex]a_n=3(2)^{n-1}[/tex]

Answer:

i believe it is 622.71 im not sure tho

Step-by-step explanation:

Answer:

$622.71

Step-by-step explanation:

Net Pay = Gross Pay - Deductions

Net Pay = $1,008.71 - $386.00

Net Pay = $622.71

Leave a like if this helped

Answer:

m = ‐ 30

Step-by-step explanation:

it is because I say it is

Answer:

The answer is 0.0085 So I'm guessing less than one.

Answer:

A

Step-by-step explanation:

Answer:

10 makes this equation true

Step-by-step explanation:

2x -4 = 16 /+4

2x= 20 /÷2

x= 10

Test

2(10) - 4 = 16

20 - 4 = 16 Correct

A denotes the angle that faces side a, and B denotes the angle that faces side b. To solve for b, we obtain: b = a / sin(B) (A)

A geometric shape known as an angle is created when two rays or line segments come together to form its vertex. The two rays or line segments are known as the angle's sides. Angles are used to describe the orientation, direction, and position of lines and forms in geometry. They are commonly measured in degrees or radians. The magnitude of an angle can range from 0 degrees (representing no rotation) to 360 degrees depending on how much the two sides or rays are rotating (corresponding to a full rotation).

given

We may utilise the Law of Cosines to determine the potential values of U:

A2 + B2 - 2ab cos = c2 (C)

where a and b are the lengths of the other two sides, and c is the length of the side that faces angle C. We'll write c for the length of side SU and a for the length of side ST.

Based on the facts provided, we can:

a=630 inches

b = u (unknown) (unknown)

C = ∠T = 7°

We can apply the Law of Sines to determine the length of b:

B = a / sin = b / sin(B) (A)

where A denotes the angle that faces side a, and B denotes the angle that faces side b. To solve for b, we obtain: b = a / sin(B) (A) .

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Answer:Hence, x = 5, y = 0 is the required solution.

Step-by-step explanation:

Answer:

There is only one solution

Step-by-step explanation:

Answer:

Q = (9, 4 )

Step-by-step explanation:

Use the midpoint formula and equate to the coordinates of the midpoint.

M = ([tex]\frac{x_{1}+x_{2} }{2}[/tex] ) , ([tex]\frac{y_{1}+y_{2} }{2}[/tex] )

let the coordinates of Q = (x, y ) , R = (- 7, 0 ) , then

[tex]\frac{x-7}{2}[/tex] = 1 ( multiply both sides by 2 )

x - 7 = 2 ( add 7 to both sides )

x = 9

and

[tex]\frac{y+0}{2}[/tex] = 2 ( multiply both sides by 2 )

y = 4

Thus Q = (9, 4 )

Answer:

Even multiplicity at x = -4

Step-by-step explanation:

If the graph of a function crosses x-axis then the multiplicity of the function at that zero will be odd.

If the graph touches the x-axis at a point then the function will have an even multiplicity at the particular zero.

From the given graph graph touches the x-axis at x = -4

Therefore, multiplicity of the function is even at x = -4

Answer:

11 feet

Step-by-step explanation:

3 yards equals 9 feet because there are 2 feet in one yard. 2*3=9

9+2= 11

The error interval for the area is 64.2< a < 63.93

Error intervals are the limits of accuracy when a number has been rounded or truncated. They are the range of possible values that a number could have been before it was rounded or truncated.

Given:

Area of circle = 76.9 cm²

Area of square = 12.7 cm²

Now, 1 decimal point

Area of circle,

= 76.9+0.05   and  = 76.9-0.05

= 76.95           and  = 76.85

Area of square,

= 12.7-0.05    and  = 12.7+-0.05

=12.65          and = 12.75

Area of shaded region in the form m < a < n .

m= 76.95-12.75

m= 64.2

n=  76.85-12.65

n= 63.93

Area of shaded region is 64.2< a < 63.93.

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Answer:

It is already in an increasing order

1. 4x - 8 Highest

2. 3x - 2

3. 2x + 1

4. 1x - 0 Lowest

Step-by-step explanation:

1. 56

2. 25

3. 9

4. 1

Given:

The figure of a right triangle.

To find:

The value of x.

Solution:

In a right angle triangle,

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

In the given right triangle,

Hypotenuse = 15

Perpendicular = 12.5

Now,

[tex]\sin x^\circ=\dfrac{12.5}{15}[/tex]

[tex]\sin x^\circ=0.83333[/tex]

[tex]x^\circ=\sin^{-1}0.83333[/tex]

[tex]x^\circ =56.442345^\circ[/tex]

[tex]x\approx 56[/tex]

Therefore, the equation used to find x is [tex]\sin x^\circ=\dfrac{12.5}{15}[/tex] and the value of x is 56.

Answer:

i think its second pythagreom therom

Step-by-step explanation:

because

Answer:

Reflected across thhe Y-Axis (I think thats what your looking for)

Answer:

68

Step-by-step explanation:

Step 1: Divide the asked hours by hours need to double

Step 2: Double the initial number of the population as per the result from step 1.

First divide 458 by 229, you will get 2

Now you double the initial population number twice

so 17 * 2 = 34 and again 34 * 2 = 68

Answer: B

Step-by-step explanation:

Because they are on opposite sides and they are outside the parallel lines

Answer:

English Translation from G o o g l e T r a n s l a t e:

After a 20 percent discount on a phone, a 10 percent discount is given on the discounted price.

Assume x is phone cost

.2x + .1x

.3x

Is that what you needed?

G o o g l e Çeviri:

Telefonda yüzde 20 indirim yapıldıktan sonra indirimli fiyat üzerinden yüzde 10 indirim yapılıyor.

G o o g le Translate'den İngilizce Çeviri:

Telefonda yüzde 20 indirim yapıldıktan sonra indirimli fiyat üzerinden yüzde 10 indirim yapılıyor.

X'in telefon maliyeti olduğunu varsayalım

.2x + .1x

.3x

İhtiyacın olan bu muydu?

Answer:

-3 and 0 are like terms because both of them are numbers

Answer:

adrenal

Step-by-step explanation:

Answer:

adrenal glands produce hormones that help regulate your response to stress.

Answer:

1,344

Step-by-step explanation: So first I multiplied 1,200 by .03 because in order to multiply by a percent you need to move it decimal back two times. After you multiply 1200 x .03 = 36. Next you would do 36 x 4 for the 4 years and it would = 144. Then you would add 144 to the original because it's interest and you would end up with Colin having 1,344.

Answer:

y - k = (x + 2)^2

Step-by-step explanation:

The vertex equation of a vertical parabola is

y - k = a(x - h)^2, where (h, k) is the vertex.

We are given h = -2, k = 4, x = 0 and y = 8 and need to find the value of a.

8 - 4 = a(0 + 2)^2, or

4 = 4a, so a must be 1.

Then the desired equation is:

y - k = (x + 2)^2

Answer:

72km/h

Step-by-step explanation:

the formula of changing metres per second to km/h is 18/5 and kilometre per hour into metres per second is 5/8 in hope it helps.

Answer:

The other endpoint is (11,-9)

Step-by-step explanation:

Midpoint Formula

[tex]\large\boxed{(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )}[/tex]

We already know the another endpoint which is (3,5). We substitute x = 3 and y = 5 in the formula. You can substitute in x1, x2 or y1, y2. I'll substitute in first x-term and first y-term instead.

[tex]\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}[/tex]

Because sum of two x-coordinate (along with y-coordinate) divided by two must equal to the midpoint (Let's say that you get the value of midpoint when using midpoint formula.)

Solve the equation for both terms.

[tex]\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}[/tex]

Cancel the denominator by multiplying the whole equation by 2.

[tex]\large{\begin{cases} \frac{3+x}{2}(2)=7(2)\\\frac{5+y}{2}(2)=-2(2) \end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}[/tex]

Isolate x-term and y-term.

[tex]\end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=14-3\\ y=-4-5 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=11\\ y=-9 \end{cases}}[/tex]

Therefore, when x = 11, y = -9. We can write in ordered pair as (11,-9). The ordered pair (11,-9) is our other endpoint of the line segment. This can be proved by using the distance formula between midpoint and endpoints.

Note: The distance of (3,5) and (7,-2) must equal to the distance of (11,-9) and (7,-2)

Answer:

The sides of the equilateral triangle are 11.7 m.

Step-by-step explanation:

Let's find the area of the isosceles triangle:

[tex] A_{i} = \frac{bh}{2} [/tex]

Where:

b: is the base = 12 m

h: is the height

We can find the height by using Pitagoras:

[tex] x^{2} = \frac{b^{2}}{2} + h^{2} [/tex]    

Where:

x is the hypotenuse = side of the triangle = 10 m

[tex] h = \sqrt{x^{2} - \frac{b^{2}}{2}} = \sqrt{(10)^{2} - 6^{2}} = 8 m [/tex]

Then, the area is:

[tex] A_{i} = \frac{12*8}{2} = 48 m^{2} [/tex]

Now, since the area of the isosceles triangle is equal to the area of the equilateral triangle:

[tex] A_{e} = A_{i} = 48 m^{2} [/tex]

[tex] A_{e} = \frac{bh}{2} [/tex]

The height of the equilateral triangle is given by:

[tex] b^{2} = \frac{b^{2}}{2} + h^{2} [/tex]    

[tex] h = \sqrt{b^{2} - \frac{b^{2}}{2}} = \frac{b}{\sqrt{2}} [/tex]

Hence, the sides are:

[tex] A_{e} = \frac{1}{2}b\frac{b}{\sqrt{2}} = \frac{b^{2}}{2\sqrt{2}} [/tex]            

[tex] b = \sqrt{A*2\sqrt{2}} = \sqrt{48*2\sqrt{2}} = 11.7 m [/tex]      

Therefore, the sides of the equilateral triangle are 11.7 m.

I hope it helps you!      

Answer:

The sides must be  around     10.53 m

Step-by-step explanation:

You can calculate the area of isosceles  dividing into 2 equal right triangles

Once you know that the area of the isosceles is 48 m²,solve for the side of the equilateral triangle

Formula for the Area:    (A= area    a = side)

A = (√3* a² ) / 4

48= (√3* a² ) / 4

Multiply both sides by 4

192 =√3* a²

Divide both sides by√3               (   √3 = 1.732050....)

110.851303 =   a²

Square root on both sides

10 .5385...( 10.53 )  = a

Answer:

Ummm, how are we suppose to answer that?

Step-by-step explanation:

Be more specific

Answer:

Area is A≈282.8 cm  

Step-by-step explanation:

Answer:

A=2(1+ √2)a2

482.84271

Step-by-step explanation:

:))