Last year, about 2,400 people participated in a local event. This year, about 3,200 people participated. What was the approximate percent increase in participation?

The volume of the storage bin given the radius and heights is 1050.79ft³.

The volume of the storage bin is the sum of the volume of the cylinder and the cone. A cylinder is a three-dimensional object that is made up of a prism with a circular base.

Volume of a cylinder = πr²h

Where:

3.14 x 5.7² x 7.5 = 765.14 ft³

A cone is a three dimensional object that tapers from its circular base to its apex.

Volume of a cylinder = 1/3πr²h

Where:

1/3 x 3.14 x 5.7² x 8.4 = 285.65 ft³

Volume of the container =  285.65 ft³ + 765.14 ft³ = 1050.79ft³

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Answer:

[tex]\frac{\sqrt{15} }{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{f(\frac{3}{2} )[/tex] , substitute [tex]\frac{3}{2}[/tex] to x

[tex]f(\frac{3}{2} )=4(\frac{3}{2} )-(\frac{3}{2} )^2[/tex] = [tex]\frac{15}{4}[/tex] or 3.75

[tex]\sqrt{f(\frac{3}{2} )[/tex]=[tex]\sqrt{3.75}[/tex] = [tex]\frac{\sqrt{15} }{2}[/tex]

The heights of the gondola are the same at 8.019 seconds and 26.446 seconds

Ferris wheel 1

The given parameters are:

The above means that:

The sine function is represented as:

y = Asin(2π/T)t + c

Where

c = Amplitude - Minimum

c = 7 - 1.5

c = 5.5

So, we have:

y = 7sin(2πt/16) + 5.5

y = 7sin(πt/8) + 5.5

Shift to the left by π/2

y = 7sin(πt/8 - π/2) + 5.5

Ferris wheel 2

The given parameters are:

The above means that:

The sine function is represented as:

y = Asin(2π/T)t + c

Where

c = Amplitude - Minimum

c = 8 - 2

c = 6

So, we have:

y = 8sin(2πt/20) + 6

y = 8sin(πt/10) + 6

Shift to the left by π/2

y = 8sin(πt/10 - π/2) + 6

Hence, the equations of the wheels are y = 7sin(πt/8 - π/2) + 5 and y = 8sin(πt/10 - π/2) + 6

See attachment for their graphs

From the attached graph, we have:

f(x) = g(x) = 12.5 at x = 8.019

f(x) = g(x) = 9.511 at x = 26.446

Hence, the heights of the gondola are the same at 8.019 seconds and 26.446 seconds

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Answer:

3:4

Step-by-step explanation:

If you divide both sides by 7, you shall get 3:4

The triangle with points at (2, 4), (4, 2), (9, 6) was reflected across the line y = 3 to get the points (2, 2), (4, 4), (9, 0)

Transformation is the movement of a point from its initial point to a new location. Types of transformation are reflection, rotation, translation and dilation.

The triangle with points at (2, 4), (4, 2), (9, 6) was reflected across the line y = 3 to get the points (2, 2), (4, 4), (9, 0)

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Answer:

C

Step-by-step explanation:

The area of a rectangle is lw or length * width.

We can add the parts to make up the whole of each side.

Thus, for the entire width, we have 4x+3 and for the entire length we have 8 + 5x.

To solve for area in terms of x, we just multiply our width and length, which gives us:  

[tex](4x+3)(8+5x)\\32x+20x^2+24+15x\\20x^2+47x+24[/tex]

The option that is better is that compounded twice annually with 61.5 interest than the simple interest for 60.

Simple interest is the amount obtained from a money invested or loaned over a specific period of time with a specific interest rate.

Analysis.

Let the principal to be used be 600

Compound interest compounded annually twice, which means the tenor of interest is two years.

first year interest

I = PRT/100

P= 600, R = 5%, T = 1

I = 600 x 5 x 1/ 100 = 30

Principal for second year = principal first year + interest

                                          = 600 + 30 = 630

interest for second year = 630 x 5 x 1/ 100 = 31.5

Compound interest  = 30+31.5 = 61.5

For simple interest, duration is 2 years,

I = PRT/100

I = 600 x 5 x 2/100 = 60

In conclusion, The account that earns 5% compounded twice annually is the better one since it accrues more interest.

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Answer:

water pollution or any one of them.

Step-by-step explanation:

Technically, these are all issues in the Netherlands.

However, based on a statista opinion chart of Netherland concerns, the biggest concern at the moment is pollution.

So, picking any of these might work because they are all issues - but I found that the environmental one is most likely to be correct.

Answer:

Water pollution

Explanation:

"Crime (48 percent) and environmental pollution (45 percent) are most often seen as (very) serious problems." - cbs

The pints of vegetable stock the chef needs is [tex]3\frac{1}{2}[/tex].

The first step is to determine the unit of conversion of cups to pints.

1 cup = 0.5 pints

To convert cup to pints, multiply 7 by 0.7

7 x 0.5 = 7/2 = [tex]3\frac{1}{2}[/tex]

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Answer:

vhggghkhy

Step-by-step explanation:

ggggggggghgghggggggggggggggggggggggggggggggggggg jjhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

4,9,14,19,24,29,34,39

The required slope of A is 1 or Ф = 45° and for B is infinte or Ф = 90°

use the m=y2-y1/x2-x1 to find the slope of the line that goes through each pair of points A.(5,7) and (-4,-2) B.(1,3) and (1,-10)

slope is define as the angle at which line is inclined and for draw tangent over a curve.

m=y2-y1/x2-x1

For, A (5, 7),(-4, -2)
m=-2-7/-4-5
m=1
or TanФ=1
Ф = 45°

For, B(1, 3), (1,-10)
m=-10-3/1-1
m= ∞ or Ф = 90°

Thus the required slope of A is 1 or Ф = 45° and for B is infinte or Ф = 90°

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Answer:

36 Adult Tickets. 352 Student Tickets

Step-by-step explanation:

Firstly, we have to create 2 expressions to solve a problem like this. If we use the variable s to mean student and a to mean adult, we can create the expressions:

3s + 6a = 1272 to represent how much they made with all ticket sales

s = 10a - 8 to represent how many student tickets there are.

Now, we plug our definition of s into the first expression to get:

3(10a - 8) + 6a = 1272

30a - 24 + 6a = 1272

36a - 24 = 1272

36a = 1296

a = 36

We have determined the number of adult tickets so we can move on to the number of students:

s = 10(36) - 8

s = 360 - 8

s = 352

Question Solved

See the graph in the attached image.

Answer:

≈ 9613.64 mph

Step-by-step explanation:

First we convert ft/s to ft/hr.

14100 ft/s*3600 = 50,760,000 ft/hr

Now we convert the feet to miles.

50,760,000 ft/hr ÷ 5280 ≈ 9613.64 mph

So in conclusion, 14100 ft/s is approximately 9613.64 mph.

Answer:

A.  butterscotch

Step-by-step explanation:

The flavor of candy that is most likely to be picked is the flavor with the highest probability.

To find the highest probability, order the decimals from smallest to largest.  When ordering decimal numbers, always compare the digits immediately after the decimal point first, i.e. the 'tenth place'.

Therefore, from inspection of the table, the probabilities in order of smallest to largest are:  0.095 < 0.125 < 0.21 < 0.57

So the flavor with the highest probability of 0.57, and therefore the flavor that is most likely to be picked, is butterscotch.

Here

As butterscotch has highest probability it is most likely to be randomly picked

As a result of climatic peculiarities the seasonal changes of oak tree in Florida and oak in Maine are distinguished such that the differences are remarkably satisfactory.

We know that many oaks are native to Florida and some of the Florida oaks include;

Northern red oaks can also be found in northern Florida. Some other oak trees in Florida include;

From the information above, we can conclude that as a result of climatic peculiarities the seasonal changes of oak in Florida and oak in Maine are distinguished such that the differences are remarkably satisfactory.

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Hello,

2,75 % = 2,75/100 = (2,75 × 100)/(100 × 100) = 275/10000 = 11/400

Option A graph represents  S(x).

Function is a statement that relates tow variables.

It is given that

the side length of the larger frame S(x)

S(x) =  [tex]\rm 3 \sqrt{x -1}[/tex]

X is the area of the smaller frame in square inches

A square root function is given by

s(x) = [tex]\rm \sqrt{x}[/tex]

when the graph is shifted towards right and stretched by  3 , due to which the graph is taller as compared to the parent graph and

Therefore Option A graph represents  S(x).

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The approximate value of cos theta in the quadrant indicated is 0.4232

Given the expression below;

sin theta = -0.906

Determine the value of theta

sin theta = -0.906

theta = arcsin(-0.906)
theta = -64.95 degrees

In the 4th quadrant;

theta = 360 - 64.95

theta = 295.04 degrees

Determine the value of cosine theta

Cos theta = cos 295.04
cos theta = 0.4232

Hence the approximate value of cos theta in the quadrant indicated is 0.4232

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The expression 1.54x10^28 not in scientific notation form is 15400000000000000000000000000

The expression is given as:

1.54x10^28

Evaluate the product

1.54x10^28 = 15400000000000000000000000000

Hence, the expression 1.54x10^28 not in scientific notation form is 15400000000000000000000000000

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Using proportions, it is found that the number of hours for which she practiced her role on Tuesday is:

[tex]\frac{5}{9}[/tex]

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

On Wednesday, she practiced 5/6 of an hour, and on Tuesday she practiced 2/3 of Wednesday's amount, hence the number of hours she practiced on Tuesday was of:

[tex]n = \frac{5}{6} \times \frac{2}{3} = \frac{10}{18} = \frac{5}{9}[/tex].

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Answer:

Step-by-step explanation:

Answer: 15cm and 5cm

Step-by-step explanation:

A rectangle's area is the product of the length and width

Given length x and width y, 2x+2y = 40 and x*y = 75.

Verifying my answer:

2(15)+2(5) = 40

30+10 = 40

40 = 40

15*5 = 75

75= 75

This is a week late so I hope this helped.

The length and the width of the rectangle​ are 15cm and 5cm respectively

The given parameters are:

Area (A) = 75

Perimeter (P) = 40

The area of a rectangle is LW, while the perimeter is 2(L + W)

So, we have:

LW = 75

2(L + W) = 40

Divide by 2

L + W = 20

Make L the subject

L = 20 - W

Substitute L = 20 - W in LW = 75

(20 - W)W = 75

Expand

20W - W^2 = 75

Rewrite as:

W^2 - 20W + 75 = 0

Expand

W^2 - 15W - 5W + 75 = 0

Factorize

(W - 15)(W -5) = 0

Split

W - 15 = 0 or W - 5 = 0

Solve for W

W = 15 or W = 5

Recall that:

L= 20 - W

So, we have

L = 20 - 15 or L = 20 - 5

This gives

L = 5 or L = 15

Hence, the length and the width of the rectangle​ are 15cm and 5cm respectively

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A function assigns the values. For every increase of 1 ounce in frozen yogurt the cost will increase by $49.

A function assigns the value of each element of one set to the other specific element of another set.

Given the frozen yogurt store charges C dollars for w ounces of frozen yogurt, C can be modelled by C = 49w+80/100. Therefore, for every increase of 1 ounce in frozen yogurt the cost will increase by $49.

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Answer:

the scale factor is either 4 or 1/4 depending if you are going from the model to the actual or the actual to the model.

Step-by-step explanation:

s= scale factor

2s = 8  Divide both sides by 2

x = 4

If I do the other way:

8s = 2 Divide both sides by 8

s = 1/4

Answer:

E.  5

Step-by-step explanation:

Define the variables:

Given information:

Use the given information and the defined variables to create two equations:

[tex]\implies \sf 6b = 13f[/tex]

[tex]\implies \sf 2f = 5g[/tex]

Rewrite the second equation to isolate f:

[tex]\implies \sf \dfrac{2f}{2}=\dfrac{5g}{2}[/tex]

[tex]\implies \sf f = 2.5g[/tex]

Substitute this into the first equation to get an expression with just bleeps and geebles:

[tex]\implies \sf 6b = 13(2.5g)[/tex]

[tex]\implies \sf 6b = 32.5g[/tex]

Finally, divide both sides by 6 to isolate b:

[tex]\implies \sf \dfrac{6b}{6}=\dfrac{32.5g}{6}[/tex]

[tex]\implies \sf b=5.42g\;(2\:d.p.)[/tex]

Round 5.42 to the nearest integer  →  5

Therefore, N = 5

Step-by-step explanation:

Solve from the least onwards

Then

So

5 is correct most

Option E

Since for each trial there are more than two outcomes, the random variable x is not a binomial variable.

Three things are required:

In this problem, for each trial, there are six possible outcomes for the sum, hence the random variable x is not a binomial variable.

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The dimensions of the crate that will minimize the total cost of material are 10, 10, and 29.

The volume will be:

= Length × Width × Height

= lwh

For the square base, w = l

2880 = w²h

The cost function will be:

C = 12wl + 4wh + 4lh

Put l = w.

C = 12w² + 8wh

C = 12w² + 8w(2880/w²)

C = 12w² + 23040/w

Differentiate with respect to w

C'(w) = 0

24w = 23040/w²

24w³ = 23040

w³ = 960

w = 10 approximately

The length is 16 as well as they are the same. The height will be:

= 2880/w²

= 2880/10²

= 28.8 = 29

Therefore, the dimensions are 10, 10, and 29.

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Answer:

The third option. he didnt make a mistake

Step-by-step explanation:

Answer:

Gabi did not make a mistake.

Step-by-step explanation:

To find j, Gabi needs to multiply both sides of the equation by 10. 80*10 = 800, so therefore j = 800. Both steps are correct.