The average number of students in ten 5th grade classes is 27. Which of the following can be extrapolated from this information? *

A the average teacher to student ratio
B the average grade of a 5th grader
C the average number of students in all grades
D the average number of students in all 5th grade classes

Solving the trigonometric equation, it is found that it takes 40 seconds to complete one turn.

The height is modeled by:

[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

The initial height is [tex]h(0) = 15[/tex], hence, one turn is completed when h(t) = 15.

[tex]h(t) = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

[tex]15 = 15\cos{\left(\frac{\pi}{20}t\right)}[/tex]

[tex]\cos{\left(\frac{\pi}{20}t\right)} = \frac{15}{15}[/tex]

[tex]\cos{\left(\frac{\pi}{20}t\right)} = 1[/tex]

The length of one turn is of [tex]2\pi[/tex], and [tex]\cos{(2\pi)} = 1[/tex], hence, the solution is found according to:

[tex]\frac{\pi}{20}t = 2\pi[/tex]

[tex]t = \frac{40\pi}{\pi}[/tex]

[tex]t = 40[/tex]

It takes 40 seconds to complete one turn.

You can learn more about trigonometric equations at https://brainly.com/question/24680641

Answer:

D. 40 seconds!! Props to guy above.

Answer:

5y+4

Step-by-step explanation:

Answer:

2 plus 5 times n

Step-by-step explanation:

Answer:

Chris bought approximately 96.52 liters of gasoline.

Step-by-step explanation:

Since the problem states that every gallon of gasoline has approximately 3.8 liters, simply multiply 3.8 by the number of gallons given (25.4).

25.4 * 3.8 = 96.52

Answer:

x + 2 = 7/8 x  -15

x = -136

Step-by-step explanation:

Two more than a certain number is 15 less than the product of 7/8 and the number.

Let x be the 'certain number'

x + 2 = 7/8 x  -15

x = 7/8 x - 17

1/8 x = -17

x = -136

Answer:

Step-by-step explanation:

the answer is -136

Answer:

A. Quadratic, degree 2

Step-by-step explanation:

The degree is found by simply finding the term with the power of, that is the highest. Which would be 2x^2. It is raised to the 2nd power, so the degree is 2.

x=6

Explanation:

The opposite side is 35, and the sides are still the same length, but on the side it has +5, so when you multiply 5 by 6 you'll get 30. 6×5=30

30+5=35.

Therefore,

x is going to have to be 6.

Answer:

Type 2

Step-by-step explanation:

Equation of the line is:

y=2

slope is 0

Answer:24x^2_54x_15=0

(12X +3 ) ( 2X _5 ) . = O

12x +3 =0

X= - 1/4

or

2x _ 5=0

X = 5/ 2

Answer:

I do agree

Step by Step Explanation:

You can try it out, just draw a number line with positive and negative integers and set your pencil on 8 and go back 8 places since it is -8 and that equals 0.

Answer:

B, 5.4

Step-by-step explanation:

BC = 36

FE = 7.2

AB = 27

x = Unknown value

They are proportional so...

[tex]\frac{36}{27} =\frac{7.2}{x}[/tex]

x = 5.4

Answer:

x+2y = 5

2x+y=4

->

x+3y = 5

6x-y = 11

->

2x+y=10

x-3y=-2

Step-by-step explanation:

solutions of x and y for each system of equation can be solved by graphing

graph the two equations, and the intercepts of the two equations would be the x and y-values, aka the answers

if there are no intercepts, the equations have no solution

Answer is given below in picture

I hope it helps.

Answer:

1/2

Step-by-step explanation:

Answer:

  A  f(x) = x/((x+5)(x-2))

Step-by-step explanation:

The vertical asymptotes at +2 and -5 indicate that (x -(+2)) and (x -(-5)) are factors of the denominator.

The zero at x=0 indicates (x -0) is a factor of the numerator.

The simplest function that will give a graph like this is ...

  f(x) = x/((x +5)(x -2))

Answer:

r = (x·2) + 3

Step-by-step explanation:

Answer:

Step-by-step explanation: if its .072

or if it 0.72/345.00

0.00208695652

Answer:b is the answer

Step-by-step explanation:

Answer:

<A = 26°

Step-by-step explanation:

4x - 30 + 4x - 14 = 180

Supplementary angles sum together to make 180

=> 4x + 4x = 16x

=> -30-14 = -44

16x = 180+44

16x = 224

x = 224/16

x = 14°

4(14) - 30 = 26°

Answer:

The retail price would be $93.6

Step-by-step explanation:

This is because you can divide 130 by 100 to find 1% of such, and you'll get 1.3. Then, multiply 1.3 by 72, which makes 72% of the original price, to come find your answer, $93.6. Hope this helps!

Answer:

x = 19

Step-by-step explanation:

3x - 1 = 6 (x - 1)  

I hope this helps!

Opposite angles are equal

[tex]\\ \sf\longmapsto 3x-3=6(x-10)[/tex]

[tex]\\ \sf\longmapsto 3x-3=6x-60[/tex]

[tex]\\ \sf\longmapsto 3x-6x=-60+3[/tex]

[tex]\\ \sf\longmapsto -3x=-57[/tex]

[tex]\\ \sf\longmapsto x=19[/tex]

Answer:

Two non co-linear segments with a slope of 3 in a coordinate plane would mean that the two segments are parallel to each other and not attached to each other. Having the same slope is the definition of being parallel in the same plane.

Step-by-step explanation:

Answer:

A - infinite

Step-by-step explanation:

The 2 lines are on top of each other making any point on either line a solution.

Hope that helps

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

If friction did not exist, it would be hard for us to slow down in running, or putting breaks on a car, and more!

If friction did not exist, your car will slide down the road even if you try your best to put the brakes on a car. Friction is a very important force to slow down things that are moving very fast

Step-by-step explanation:

Hoped this helped.

[tex]GeniusUser[/tex]

Answer: a is 7 b is 4

Step-by-step explanation: to get an equation with no solution the equation has to be the same so if a is 7 and b is 4 this will show no solution