Which division is shown by the model?
1. 2 divided by 3/4 =2
2. 3 divided by 3/4= 4
3. 2 divided by 2/3= 3
4. 2 divided by 2/3=3

Answer:

243/16

Step-by-step explanation:

we have a1 = 2

r = 3/2

n = 6

The 6th term of the geometric sequence is 243/16

The given parameters are:

[tex]a = 2[/tex] --- the first term

[tex]r = 3/2[/tex] --- the common ratio

The nth term of a geometric sequence is:

[tex]T_n = ar^{n-1[/tex]

So, the 6th term would be:

[tex]T_6 = 2 \times (3/2)^{6-1[/tex]

Subtract 1 from 6

[tex]T_6 = 2 \times (3/2)^5[/tex]

Evaluate the exponent

[tex]T_6 = 2 \times (243/32)[/tex]

Simplify

[tex]T_6 = 243/16[/tex]

Hence, the 6th term of the geometric sequence is 243/16

Read more about geometric sequence at:

https://brainly.com/question/1509142

Answer:

Segment XV is equal to 24 mm

Step-by-step explanation:

Both triangles are clearly congruent, both having the same type of angles as well as angle LKJ and angle VKW having the same angle measure, 21 degrees. Lastly, if you were to take out segment JL and WV, the triangles would fold the same. All of this leads to segment XV being the same as segment KL which leads it to be 24 mm. (Sorry if this is confusing, just trying to explain how my brain understood the problem. If you need me to elaborate more let me know).

Answer:

w = 2x^2-2x+15

Step-by-step explanation:

Since the formula to find the perimeter is P=2l+2w, use this to set up your equation:

6x^2-2x+14 = 2(x^2-x+8) + 2w

Then, distribute the 2 to everything inside the parentheses.

6x^2-2x+14 = 2x^2-2x+16 + 2w

Subtract 2x^2-2x+16 from both sides, leaving you:

4x^2-4x+30 = 2w

Divide 2 from both sides.

2x^2-2x+15

The answer is 2x^2-2x+15

Answer:

3a+ 16

Hope this helps!

Answer:

3z+13

Step-by-step explanation:

Perimeter is found by adding all the sides

z+2+z+2+z+9

3 z variables  2+2+9=13

Simplified equals

3z+13

Hope this helps!

Please mark this answer as brainiest :)

Answer:

Step-by-step explanation:

z+2 + z + 2 + z + 9 = Perimeter               Collect like terms

3z + 13 = Perimeter

Answer:

if its easy do it

Step-by-step explanation:

Answer:

7.5/15 or something because yes

Answer:

The answer for this particular question is (5,-8)

Answer:

y = 3x-13

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

   = ( 11-2)/(8-5)

    = 9/3

    =3

Then using slope intercept form

y= mx+b

Using one of the points and the slope

2 = 3(5) +b

2 = 15 +b

2-15 = b

-13 =b

y = 3x-13

Answer:

No

Step-by-step explanation:

a^2+b^2=c^2

5^2= 25

7^2 = 49

25+49=74

square root of 74 does not equal 9

Answer:

No.

Step-by-step explanation:

Pythagorean Theorem: a²+b²=c²

5²+7²=9²

5²=25, 7²=49, 9²=81

25+49 does not equal 81.

Answer:

1

Step-by-step explanation:

Explanation:

The given equation is in the form [tex]ax^2+bx+c=0[/tex], where,

Use the quadratic formula to get the following

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-3)\pm\sqrt{(-3)^2-4(1)(-1)}}{2(1)}\\\\x = \frac{3\pm\sqrt{9+4}}{2}\\\\x = \frac{3\pm\sqrt{13}}{2}\\\\[/tex]

The last equation matches with choice C.

Answer:

23.08

Step-by-step explanation:

Answer:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

Step-by-step explanation:

Answer:

x = 13

Step-by-step explanation:

Given: f ( x ) = 4.5 x 2 − 3 x + 2 To determine the critical points, we must first calculate the first derivative of the function.

Differentiate the given function with respect to x using the power rule of differentiation, d d x x n = n x n − 1.

f ′ (x) =    d        (4.5 x 2 − 3 x + 2)

        ______        

            d x  

Apply sum rule: d d x (f(x)) + g (x) = d d x f (x) + d d x g (x) } f ′ ( x) = d d x (4.5 x^2) + d d x (−3 x) + d d x (x) f ′ (x) = 9 x − 3

To determine the critical points, set f ′ (x) = 0 . 9 x − 3 = 0 9 x = 3 {∴ x = 13}

Therefore, the tangent line to f(x) is horizontal at the point x = 13

Hope this helps, have a nice day/night! :D

Answer:

nahhhh why did you report me I did nun wrong

Step-by-step explanation:

Answer:

.....

Step-by-step explanation:

Answer: 101°F

Step-by-step explanation: A canine's body temperature is considered to be normal if it is 101°F with an absolute deviation of 1.5°F. a) Write an absolute value inequality

9514 1404 393

Answer:

Step-by-step explanation:

The y-intercept is the value of y when x=0. The problem statement tells you that x is the number of miles driven, and y is the rental cost.

When the number of miles driven is zero, the rental cost is ...

  y = 2.25×0 +70

  y = 70

The cost of renting the truck is $70 when it isn't driven anywhere. The y-intercept ($70) is the basic, fixed cost of truck rental.

__

If x=1 (1 mile driven), then 2.25 is added to the cost of the truck rental. The slope (2.25) is the cost per mile driven. (That mileage cost is added to the basic rental cost.)

Answer:

3(2r+1)

Step-by-step explanation:

5r+1 is 6

Then you factor out 3 and get 3(2r+1)

Answer:

12% of 315 is 37.8 :) Tag me if I'm wrong

Answer:

x = 37.80

Step-by-step explanation:

The decimal form of 12% is 0.12. An easy way of converting percentage into decimal by moving the decimal point two places to the left. Hence, 12% = 0.12.

The given statement, "What number is 12% of 315" can be expressed algebraically as:

x = 0.12 × 315.

x = 37.80

Therefore, 37.80 is 12% of 315.

Answer:

see explanation

Step-by-step explanation:

A recursive formula allows the next term in a sequence by adding the common difference d to the previous term.

d = a₂ - a₁ = - 13 - (- 1) = - 13 + 1 = - 12 , then

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 12 with a₁ = - 1

Answer:

6 years

Step-by-step explanation:

5% of 1000 is 50

1. $1050

2. $1100

3. $1150

4. $1200

5. $1250

6. $1300

Answer:

397

Step-by-step explanation:

1. To evaluate this expression, we plug in the value of x and simplify.

Therefore, the answer is 397.

Answer:

1/6 = 60/360

Step-by-step explanation:

The circle is split into 6 parts and a circle equals 360°

1/6 = x/360

Cross Multiply...

6x = 360

Divide to isolate x...

x = 60

The equation measures the angle that will be 1 / 6 = x / 360. Then the correct option is D.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

A circle is divided into equal parts. An angle turns through one of the parts, as shown below.

Then the equation shows a way to get the measure of the angle that will be

The arc of the circle makes 360°. And the circle is divided into six equal parts, and then the angle of each section will be equal.

Let x be the angle of each section.

Then the ratio of the area of the complete circle and one-sixth circle. Then we have

A₁ = 6A₂

Then we have

A₂ / A₁ = [(x/360) πr²] / [πr²]

A₂ / 6A₂ = x / 360

1 / 6 = x / 360

Then the value of x will be

x = 60°

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ2

Answer:

T=n-1+4/n

n=(n^2-n+4)/T

Step-by-step explanation:

T=n-1+4/n

n=(n^2-n+4)/T

Answer:

add

subtract

multiply

Step-by-step explanation: