13. The diameter of a merry-go-round at the playground is 12 feet. Elijah stands on the edge and his sister pushes him
around.
ST
a) How far does Elijah travel if he moves through an angle of 4 radians?
b) Through what angle does Elijah move if he travels a distance of 80 feet around the circumference?

Answer:

[tex]36^6[/tex] postcodes

Step-by-step explanation:

Think of the post code as a combination lock

[?] [?] [?] [?] [?] [?]

If letters a numbers are allowed, each character can be A-Z and 0-9.

There are 26 letters, and 10 different digits

26 + 10 = 36 characters

Each block (I illustrated above) can be any of the 36 characters

If you have 2 blocks, you have a combination of

36 x 36 characters — which is the same as [tex]36^2[/tex]

With 3 blocks: [tex]36^3[/tex]

and so forth...

If your post code is made of 6 'blocks' it can be any combination of

[tex]36^6[/tex]

The time it will take to roll from the top of the ramp to the bottom by the ball when acceleration of it a = 2 ft/s2, is 4 seconds.

The equation of motion is the relation between the distance, velocity, acceleration and time of a moving body.

The equation which gives the distance d of an object starting at rest travels given acceleration a and time t is,

[tex]d = \dfrac{1}{2}at^2[/tex]

Suppose a ball rolls down the ramp shown at the right with acceleration a = 2 ft/s2. The ramp is 12 feet long. Thus, the distance travel by ball to roll from the top of the ramp to the bottom is 12 feet. Thus, we have,

[tex]a=2\rm\; ft/s^2\\d=12\rm\; feet[/tex]

Put the values in the above equation,

[tex]d = \dfrac{1}{2}at^2\\12 = \dfrac{1}{2}(2)t^2\\t^2=12\\t=\sqrt{12}\\t=3.46\\t=\approx 4\rm\; s[/tex]

Thus, the time it will take to roll from the top of the ramp to the bottom by the ball when acceleration of it a = 2 ft/s2, is 4 seconds.

Learn more about the equation of motion here;

https://brainly.com/question/13763238

#SPJ1

To determine the whether the ordered pair satisfies the equation:

     ⇒ we must plug in the values

          ⇒ since coordinates are (x,y) ⇒ (2,1)

             ⇒ there we must plug 2 into the 'x' position in the equation

                ⇒ and 1 into the 'y' position in the equation

Let's try the first equation:

   [tex]3x-y=5\\3(2)-1=5\\6-1=5\\5=5[/tex]

Let's try the second equation

   [tex]5x-2y=8\\5(2)-2(1)=8\\10-2=8\\8=8[/tex]

Thus ordered pair satisfies the following system of equations

Answer: Yes

Hope that helps!

Answer:

114

Step-by-step explanation:

1.14 x 10²

pls mark me as brailiest if it is correct and learn well

Answer:

10n² + 3n + 7

Step-by-step explanation:

2A - 3B = 2.( -1 + 5n² + 9) - 3.(3 - n)

= -2 + 10n² + 18 - (9 - 3n)

= 10n² + 16 -9 + 3n

= 10n² + 3n +7

Answer:

2*2*3*5

Step-by-step explanation:

Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5. The actual prime factors of 60 are 2, 3, and 5.

Answer:

Zach has 14 apples left.

Step-by-step explanation:

This equation is 12 - 4 + 18 - 6 + 14 - 20.

8 + 12 + 14 - 20

20 + 14 - 20

14

Answer:

10

Step-by-step explanation:

Since it given that:

x = 7 and y = 3

We can substitute x and y:

(7-3) + 2(3)

7 - 3 = 4

4 + 2(3)

2(3) = 6

4 + 6 =10

Thus the answer is 10.

[RevyBreeze]

Answer:

[tex]10[/tex]

Step-by-step explanation:

Sorry for messing it up last time.  The format can be really weird

Step 1:  Input x and y and solve

[tex](x - 3) + 2y[/tex]

[tex](7 - 3) + 2 * 3[/tex]

[tex]4 + 6[/tex]

[tex]10[/tex]

Answer:  [tex]10[/tex]

Answer:

C) The range is the set of all real numbers greater than –4.

Step-by-step explanation:

Domain

Range

The correct statement is C, which states : the range is the set of all real numbers greater than -4.

Answer:

[tex]\longrightarrow: \boxed{\sf{x=-6}}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

First, you subtract by 19 from both sides.

⇒ x+19-19=13-19

Solve.

Add/subtract the numbers from left to right.

⇒ 13-19=-6

⇒ x=-6

I hope this helps! Let me know if you have any questions.

Answer:

Step-by-step explanation:

In the question we're given with an equation that is x + 19 = 13 and we have asked to find the solution of equation that means we have to find the value of x .

Solution :

[tex] \longmapsto \: x + 19 = 13[/tex]

Subtracting 19 on both sides :

[tex] \longmapsto \: x + \cancel{19} - \cancel{19 }= 13 - 19[/tex]

On further calculations we get :

[tex] \longmapsto \: \blue{ \boxed{x = - 6}}[/tex]

Verifying :

We are verifying our answer by substituting value of x in the given equation .

Therefore our value for x is correct .

Step-by-step explanation:

[tex](9\pi \frac{2}{2} )\div 3\pi \\ [/tex]

[tex] \frac{9\pi}{3\pi} \\ [/tex]

[tex]3\pi[/tex]

3π is the answer

Answer:

no it is not

Step-by-step explanation:

No.  Because  right angled triangles all sides are equal.

Answer:58.8

Step-by-step explanation:

A=L*W

6*9.8=58.8

pic po please please please please

Using proportions, it is found that there are 165 students in the school.

A proportion is a fraction of a total amount.

In the school, there are n students. Of those 1/5 of 3/8, that is, 3/15 wear glasses and identified blue as their favorite color. This amount is equivalent to 33 students, hence:

3/15n = 33

n = 33 x 15/3

n = 11 x 15

n = 165.

There are 165 students in the school.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

f(-10) = -2

Step-by-step explanation:

[tex] y =\frac{20}{x}[/tex]

[tex]\implies f(x)=\frac{20}{x}[/tex]

[tex]\implies f(-10)=\frac{20}{-10}[/tex]

[tex]\implies f(-10)=-2[/tex]

Answer:

-2

Step-by-step explanation:

sub -10 in place of x and divid to give you -2

Answer:

2.740 repeated sign over 740 (just a line)

Step-by-step explanation:

divide on sheet paper

Answer:

2

Step-by-step explanation:

After placing the 2 as the coefficient all of the atoms for their respective elements will be balanced.

Answer:

30.5

Step-by-step explanation:

Let L = the larger number

Let S = the smaller number

L + S = 144

L - S = 73

L = S + 73

S + S + 73 = 144

2S = 71

S = 30.5

Step-by-step explanation:

To find the volume of triangular pyramid we are given two parameters that is base area of pyramid and height which is required,

Volume of pyramid given by:-

V = 1/3*bh

V = 1/3*12*8

V = 4*8

V = 32cm³

Hence the volume of triangular pyramid is 32cm³

Answer:

so let's start

Step-by-step explanation:

[tex]total \: sales = 412454 \\ 7\% = \frac{7}{100} \\ = 0.07 \\ 0.07 \: is \: rate \: of \: commision \: on \: total \: sales \\ 0.07 \times 412454 = 28871.78 \: dollars \\ but \: 5\% \: is \: given \: as \: percentage \: of \: the \: amount \: from \: 7\% \: commission \\ 5\% = \frac{5 }{100} \\ = 0.05 \\ 0.05 \times 28871.78 = 1443.589 \: dollars \: \\ total \: income \: = 28871.78 + 1443.586 \\ = 30.315.369 \: dollars \\ \\ thanks[/tex]

50 ounces

hope it helps...!!!

Answer:

2/3

Step-by-step explanation:

slope formula : ( y2 - y1 ) / ( x2 - x1 ) where the x and y values are derived from points on the line

the two points can vary but i have chosen (0,0) and (3,2)

(x1,y1) = (0,0) so x1 = 0 and y1 = 0

(x2,y2) = (3,2) so x2 = 3 and y2 = 2

recall that slope = ( y2 - y1 ) / ( x2 - x1 )

plug in x1 = 0, y1 = 0, x2 = 2 and y2 = 3

slope = ( 2 - 0 ) / ( 3 - 0 )

slope = 2 / 3

Let p(t) be the number attendees and t be the ticket price measured in units of 10s of rupees. When the price is t = 7 (i.e. Rs70), there were p(7) = 300 people in attendance.

For each unit increase in t (i.e. for each Rs10 increase in price), p(t) is expected to fall by 20, so that

p(t + 1) = p(t) - 20

Solve for p(t). Suppose t ≥ 7. By substitution,

p(t + 1) = (p(t - 1) - 20) - 20 = p(t - 1) - 2×20

p(t + 1) = (p(t - 2) - 20) - 2×20 = p(t - 2) - 3×20

p(t + 1) = (p(t - 3) - 20) - 3×20 = p(t - 3) - 4×20

and so on, down to

p(t + 1) = p(7) - (t - 6)×20 = 420 - 20t

or

p(t) = 420 - 20 (t - 1) = 440 - 20t

With t = price per ticket (Rs/ticket) and p(t) = number of attendees = number of tickets sold, it follows that the income made from ticket sales for some fixed ticket price t would be t×p(t). If one plots p(t) in the coordinate plane, the price that maximizes income and number of attendees is such that the area of a rectangle inscribed by the line p(t) and the coordinate axes is maximized.

Let A(t) be the area of this rectangle, so

A(t) = t p(t) = 440t - 20t²

Without using calculus, complete the square:

A(t) = 440t - 20t² = 2420 - 20 (t - 11)²

This is the equation of a parabola with vertex at (11, 2420), so the optiml ticket price is Rs11, and at this price the drama club can expect an income of Rs2420.

With calculus, differentiate A with respect to t and find the critical points:

A'(t) = 440 - 40t = 0   ⇒   11 - t = 0   ⇒   t = 11

Differentiate A again and check the sign of the second derivative at this critical point:

A''(t) = -40   ⇒   A''(11) = -40 < 0

which indicates a local maximum at t = 11 of A(11) = 2420.

Answer:

210

Step-by-step explanation:

126 is 60% of What Number? - 126 is 60% of 210. 100% of 210 is 210, therefore 60 percent of 210 equals 126.

Formula = Number x 100

Percent = 126 x 100

60 = 210

Following shows the steps on how to derive this formula and find out 60% of what number is 126.

Step 1: If 60% of a number is 126, then what is 100% of that number? Setup the equation.

126

60% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

60Y = 126 x 100

60Y = 12600

Y = 12600

100 = 210

What is  126 % of 60 ? = 210

Answer: …

Step-by-step explanation:

Well, 126 is 60% of 210. 100% of 210 is 210, therefore 60 percent of 210 equals 126

Answer:

ρ =45% or 0.45

ρ with ^ = [tex]\frac{18}{50} =0.36[/tex] or equivalently 36%

Step-by-step explanation:

ρ represents the population proportion of the bus riders, with a monthly pass, who are students.

The population proportion is simply the percentage of the entire population with a particular characteristic. We have been informed that in a city, 45% of the bus riders with a monthly pass are students. This means that 45% of the whole population of bus riders with a monthly pass are students. Therefore, our ρ is simply 45% or 0.45.

ρ with ^ represents the sample proportion of the bus riders, with a monthly pass, who are students. This is a statistic or an estimator as it is normally used to estimate the value of ρ, the population proportion. It is calculated using the formula;

ρ with ^ = [tex]\frac{x}{n}[/tex]

where n represents the size of the sample and x the number of individuals in the sample with a certain desired characteristic. We have been informed that;

in a random sample of 50 bus riders with monthly passes, 18 are students.

Using the above formula and the values given we have;

ρ with ^ = [tex]\frac{18}{50} =0.36[/tex] or equivalently 36%

Answer:

123 more muffins

Step-by-step explanation:

To find out how many to box in total you would do 14 x 12 = 168

168 - 45 = 123

Since 45 were already boxed, 123 more would be needed to make 14 boxes.