Last year, 11 students tried out for the
debating team. This year 15 students tried
out. What was the percent of increase in the
number of students who tried out?

A 50 percent increase in Earth's albedo, which refers to the reflectivity of its surface, would lead to a decrease in average surface temperatures.

Albedo plays a crucial role in determining how much of the sun's energy is absorbed or reflected by the Earth. The given information states that approximately 30 percent of the sun's energy is currently reflected back into space. If Earth's albedo increases by 50 percent, meaning more energy is reflected, it would result in less energy being absorbed by the Earth's surface and atmosphere.

The increased albedo would cause a higher percentage of the incoming solar radiation to be reflected and scattered back into space. With less energy being absorbed, the average surface temperatures would decrease. This is because less solar energy would be available to warm the Earth's surface and drive atmospheric processes that contribute to temperature regulation. Therefore, a 50 percent increase in Earth's albedo would likely lead to a cooling effect and lower average surface temperatures on our planet.

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It allows us to quickly identify whether a distribution is symmetric or skewed, and to spot outliers or other unusual features in the data.

A box plot is a graphical representation of a set of data that displays the distribution of values. It consists of a box that spans the interquartile range (IQR) and a line inside the box that represents the median value. The whiskers extend from the box to the minimum and maximum values within 1.5 times the IQR. Outliers are plotted as individual points outside the whiskers.

To determine whether a distribution of values is essentially symmetric, we can look at the box plot. If the median line is at the center of the box, and the whiskers are of equal length on either side, the distribution is approximately symmetric. However, if the box is shifted to one side, or the whiskers are of different lengths, the distribution is skewed.

In addition to the box plot, we can also look at other measures of central tendency and dispersion, such as the mean and standard deviation. If the mean and median are close to each other, and the standard deviation is not too large, the distribution is likely to be symmetric.

Overall, a box plot is a useful tool for visualizing and analyzing distributions of values.

It allows us to quickly identify whether a distribution is symmetric or skewed, and to spot outliers or other unusual features in the data.

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Let x be the cost of one rose bush and y be the cost of one carnation.

Then we have the system of equations:

x * 9 + y * 12 = 210

x * 3 + y * 1 = 40

To determine the method that is most efficient to solve this system, we can use the fact that one of the equations has already solved for one of the variables, y.

We can use substitution to solve for the other variable, x.

Substitute y = (40 - 3x) into the first equation:

x * 9 + (40 - 3x) * 12 = 210

Simplify:

x * 9 + 480 - 36x = 210

Solve for x:

9x - 36x = 210 - 480

-27x = -270

x = 10

Substitute x = 10 into the second equation:

10 * 3 + y = 40

Solve for y:

y = 10

Therefore, one rose bush costs $10 and one carnation costs $10.

The most efficient method to solve the system was substitution, since one of the equations already solved for one of the variables.

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From the given circle, let's select the line segment that is both a chord and a diameter.

A chord of a circle is a line segment that connects two points on the circumference of the circle while the diameter of a circle is a straight line that passes through the ceneter of the circle and has endpoints on the circumference of the circle.

Thus, the segment that is both a chord and a diamter on the given circle is:

Line EG

ANSWER:

EG

Answer:D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Theta = 59 degrees

Step-by-step explanation:

Here, we want to get the value of the marked angle

To do this, we use the appropriate trigonometric ratio

From what we have,

The side 42 ft is adjacent the angle given

The side facing the right angle is 82 ft

The trigonometric ratio that connects the adjacent and the hypotenuse is cosine. It is the ratio of the adjacent to the hypotenuse

Cos theta = 42/82

theta = cos^-1 0.5122

theta= 59.189

To the nearest degrees, this is 59 degrees

Answer:

94.6 sq. cm.

Step-by-step explanation:

Trapezoid area formula = ((a+b)/2)h

base a = 12

base b = 5.2

h = 11

a+b = 12+5.2 = 17.2

(17.2)/2 = 8.6

8.6* 11 = 94.6

94.6

Answer:

we haul y=.045x+20

you haul y=1x

Step-by-step explanation:

Transforming the graph of y=x^3 into the graph of y+3=x^1/3+4 required us to shift the graph up by 3 units and to take the cube root of x and shift it to the right by 4 units. The resulting graph is a shifted and transformed version of the original graph that now passes through the point (4,3).

To transform the graph of y=x^3 into the graph of y+3=x^1/3+4, we need to apply a series of transformations.
First, we need to shift the graph up by 3 units. This can be done by adding 3 to the original equation, giving us y=x^3+3.
Next, we need to take the cube root of x and shift it to the right by 4 units. This can be done by replacing x with (x-4)^3. This transformation will cause the graph to shift 4 units to the right.
Combining these two transformations, we get the equation y+3=(x-4)^1/3+4, which is the transformed equation we need.
To graph this equation, we can use a table of values or a graphing calculator. A table of values might look something like this:
x | y+3
---------
0 | 4.00
1 | 4.77
2 | 5.43
3 | 6.00
4 | 6.52
5 | 7.00

Plotting these points and connecting them with a smooth curve will give us the graph of y+3=(x-4)^1/3+4.

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The eigenvalues of the backward shift operator T are λ = 0 and λ = exp(2πik/(n-1)), and the corresponding eigenvectors have x1 ≠ 0.

To find the eigenvalues and eigenvectors of the backward shift operator T, we need to solve the equation T(v) = λv, where v is the eigenvector and λ is the eigenvalue.

Let's consider an arbitrary vector v = (x1, x2, x3, ...), and apply the backward shift operator T to it:

T(v) = (x2, x3, x4, ...)

We want to find the values of λ for which T(v) is equal to λv:

(x2, x3, x4, ...) = λ(x1, x2, x3, ...)

By comparing corresponding components, we have:

x2 = λx1

x3 = λx2

x4 = λx3

...

From the first equation, we can express x2 in terms of x1:

x2 = λx1

Substituting this into the second equation, we get:

x3 = λ(λx1) = λ²x1

Continuing this pattern, we find that xn = λ^(n-1)x1 for n ≥ 2.

Now, let's determine the eigenvalues. For the backward shift operator, the eigenvalues are the values of λ that satisfy the equation λ^(n-1) = λ for some positive integer n.

This equation can be rewritten as:

λ^n - λ = 0

Factoring out λ, we have:

λ(λ^(n-1) - 1) = 0

This equation has two solutions: λ = 0 and λ^(n-1) - 1 = 0.

For λ = 0, the corresponding eigenvector is any vector v = (x1, x2, x3, ...) with x1 ≠ 0.

For λ^(n-1) - 1 = 0, we have λ^(n-1) = 1. This equation has n-1 distinct complex solutions, which can be written as λ = exp(2πik/(n-1)), where k = 0, 1, 2, ..., n-2. The corresponding eigenvectors are v = (x1, x2, x3, ...) with x1 ≠ 0.

Therefore, the eigenvalues of the backward shift operator T are λ = 0 and λ = exp(2πik/(n-1)), where k = 0, 1, 2, ..., n-2, and the corresponding eigenvectors have x1 ≠ 0.

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The dimension of the smallest flowering plant is 59/2500 in. long and 129/10,000 in. wide.

To convert Decimal into Fraction form:

Do the following Steps:

Step 1: Make a fraction with the decimal number as the numerator and a 1 as the denominator.

Step 2: Remove the decimal places by multiplication.

Step 3: Reduce the fraction.

Step 4: Simplify the remaining fraction to a mixed number fraction if possible.

Given,

The smallest flowering plant is the flowering aquatic duckweed found in Australia.

And it is 0.0236 inch long and 0.0129 inch wide.

Here we need to write these dimensions as fractions in simplest form.

Rewrite the decimal number as a fraction with 1 in the denominator

So,

=> 0.0236/1 and 0.0129/1

Now, Multiply to remove 4 decimal places. Here, you multiply top and bottom by 10⁴ = 10000.

Then we get,

=> 236/10000 and 129/10000

Now, reduce the fraction by dividing both numerator and denominator by GCF = 4,

=> 59/2500

But the fraction 129/10000 is not reducible.

Therefore, the fraction form is,

=> 59/2500 in. long and 129/10,000 in. wide.

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Answer:

Surface Area = 2 * (length * width + length * height + width * height)

Step-by-step explanation:

To find the surface area of a rectangular solid (also known as a rectangular prism), you need to calculate the areas of its six faces and then add them together. The formula for the surface area of a rectangular solid is:

Surface Area = 2 * (length * width + length * height + width * height)

Here are the steps to find the surface area:

Identify the length, width, and height of the rectangular solid.

Multiply the length by the width to find the area of the top and bottom faces.

Multiply the length by the height to find the area of the front and back faces.

Multiply the width by the height to find the area of the left and right faces.

Add up all the areas calculated in steps 2, 3, and 4.

Multiply the sum by 2 to account for the two identical sets of faces.

The result will be the surface area of the rectangular solid.

It's important to note that all measurements should be in the same unit (e.g., centimeters, inches) for accurate results.

Answer:

Step-by-step explanation:

The area of ​​the rectangular solid (parallelepiped) is calculated by adding the lateral area and twice the base area: Stot=Slat+2Sb; the area of ​​the rectangular parallelepiped is given by the sum of the areas of the six rectangles that make up its surface, ie Stot=2(ab+ah+bh).

The fraction of recipes she would have tried in the book after 1 year is 13/125.

It is required to find the the fraction of recipes.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Total recipes in the book= 1,000

Recipe tried each week = 2

We have to find the fraction of recipe she would have tried after 1 year.

We know that there are 52 weeks in 1 year.

Total recipe she tried in a year

=total number of  weeks in a year*number of recipe tried each week

=52*2

=104

fraction of recipe she would have tried after 1 year

=104/1000

=13/125

Therefore, the fraction of recipes she would have tried in the book after 1 year is 13/125.

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Answer:

I couldnt figure out the irregular polygons, so im sorry

Step-by-step explanation:

2.

\(A=wl=7*2=14in^2\\P=2(l+w)=2*(2+7)=18in\)

3.

\(P=8a=8*3=24cm\)

4.

\(A=wl=40*97=3880mm^2\\P=2(l+w)=2*(97+40)=27mm\)

5.

\(A=wl=4*13=52cm^2\\P=2(l+w)=2*(13+4)=34cm\)

6.

\(A=wl=3*8=24cm^2\\A=wl=2*6=12cm^2\\=36cm^2\\P=2(l+w)=2·(8+3)=22cm\\P=2(l+w)=2*(2+6)=16cm\\=38cm\)

8.

\(A=wl=4*9=36cm^2\\A=wl=8*3=24cm^2\\=60cm^2\\P=2(l+w)=2*(4+9)=26cm\\P=2(l+w)=2*(8+3)=22cm\\=48cm\)

9.

\(A=wl=7*11=77cm^2\\A=wl=2*5=10cm^2\\=87cm^2\\P=2(l+w)=2*(7+11)=36cm\\P=2(l+w)=2*(2+5)=14cm\\=50cm\)

In the analyze stage of the data life cycle, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

The data life cycle is defined as the time period that that data exist in you system. Usually the data management experts finds the six or more stages in the data life cycle

The data analyst is the person who use the interpreted data and analyze the data in order to solve the problems

The analyze stage is the one of the main stages of the data life cycle. In the stage data analyst will use the spreadsheet to aggregate the data in the system and use the formulas to perform the calculations in the system

Therefore, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

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Meg can get 1 and 3/4 servings of 1/2 jug from her 7/8 jug of orange juice.

Meg has a 7/8 jug of orange juice, and she wants to know how many 1/2 jug servings she can get from it. To solve this problem, we need to divide the total amount of orange juice by the amount of orange juice in each serving.

First, we need to convert the 7/8 jug to an equivalent fraction with a denominator of 2. To do this, we can multiply both the numerator and denominator of 7/8 by 2, which gives us 14/16.

Next, we can divide 14/16 by 1/2 to find out how many 1/2 jug servings Meg can get from the jug. To divide fractions, we invert the second fraction and multiply. So we have:

14/16 ÷ 1/2 = 14/16 x 2/1 = 28/16

Now, we need to simplify this fraction by dividing the numerator and denominator by their greatest common factor, which is 4. So we have:

28/16 = (28 ÷ 4) / (16 ÷ 4) = 7/4

Therefore, Meg can get 7/4 or 1 and 3/4 servings of 1/2 jug from her 7/8 jug of orange juice.

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A finite series can be an arithmetic series or a geometric series

The given parameters are:

a1 = 6

r = 2

The above represents a geometric series

The nth term of a geometric series is calculated as:

\(a_n = a_1 * r^{n-1}\)

So, we have:

\(a_2 = 6 * 2^1 = 12\)

\(a_3 = 6 * 2^2 = 24\)

\(a_4 = 6 * 2^3 = 48\)

\(a_5 = 6 * 2^4 = 96\)

\(a_6 = 6 * 2^5 = 192\)

So, we have the following ordered pairs

(x,y) = (1,6) (2,12) (3,24) (4,48) (5,96) (6,192)

See attachment for the graph of the first six terms of the finite series

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Answer:

Step-by-step explanation:

5.2*9= 46.8

Do you want to know how to find the answer? :/

The sum of an infinite geometric series is given by a+ar+ar^2  where a is the first term and r is the common ratio.

The sum of the series  can be represented by :

a / ( 1 - r)  = 12

a = 12 ( 1- r )    (1)

So....note that the sum of the  terms  with odd powers of r  can be represented by :

ar  + ar^3  + ar^5 + ar^7 +  ..... + ar^(2n - 1)  =  5   (2)

And note that the sum of the  terms  with even powers of r  can be represented by :

a  +  ar^2  + ar^4 + ar^6 + ar^8 +  ..... + ar^(2n)  =  7   (3)

Multiply (2)  by r on both sides

ar^2  + ar^4  + ar^6 + ar^8 +  ..... + ar^(2n )  =  5r     (4)

Subtract   (4)  from (3)

a  = 7 - 5r    (5)

Sub (5)  into (1)

7 - 5r  = 12(1 - r)

7 - 5r  =  12 - 12r

7r = 5     →   r  =  5/7

Check

a = 7 - 5(5/7)  =  24/7

a / ( 1 - r)  =

(24/7) / ( 1- 5/7)  =

(24/7) / ( 2/7)  =

24 / 2   =

12

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I'm sorry, I honestly do not know.

Evan can play 2 games of mini golf and 9 games of kart track.

Given that Evan's mom gave him 11 tickets and left in game zone for 3 hours,

He can spend 1 ticket on one game, and he spend 10 minutes in kart track and a game of mini golf lasts 45 minutes.

We need to find how many games he played of both the games,

So, let he played x games of kart track and y games of mini golf,

So,

x + y = 11

x = 11 - y.............(i)

10x + 45y = 180...........(ii) [ ∵ 3 hours = 180 minutes]

Use the equation i in ii,

So,

10(11-y) + 45y = 180

110 - 10y + 45y = 180

35y = 70

y = 2

Put y = 2 in equation 1,

x = 11-2

x = 9

Hence he played 2 games of mini golf and 9 games of kart track.

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\(y=1.5x+8\\\\\implies 1.5x = y-8\\\\\implies x = \dfrac{y-8}{1.5}\\\\\implies x = \dfrac{y-8}{\tfrac 32}}\\\\\implies x = \dfrac{2(y-8)}{3}\\\\\implies x = \dfrac 23 y- \dfrac{16}3\)

Answer

B the answer is B

Step-by-step explanation:

Answer:

3 + 9x = 11x - 7

simplify

9x + 3 = 11x - 7

subtract 11x from both sides

-11x             -11x

-2x + 3 = -7

get rid of constants first by subtracting by 3 from both sides

-3            -3

-2x = -10

divide both sides by -2 since that is the inverse operation of multiplication

/-2    /-2

X = 5

Answer:

x=5

Step-by-step explanation:

Hi, first the thing to do here is simple,

step 1, collecting like terms

3+9x=11x-7

11x-9x=3+7

2x=10

then divide both by 2.

x= 5

Level of confidence decreases if the margin of error decreases(when the sample size is kept the same) Goes Down

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95% confidence level is the most popular, but other levels, like 90% or 99%, are occasionally used when computing confidence intervals.

We are given asked when the sample size is kept the same,

we know that the margin of error is nothing but a statistic which tells us how many percentage points our results will differ from the real population value.we know that when a greater error is allowed, the more will be the confidence(fundamental concept of confidence intervals)

Let Margin of Error be represented by E and the confidence level by C hence the relationship goes like this,

                                           E↑⇔C↑and E↓⇔C↓

Here we are asked when the sample size is kept the same, what will happen to the level of confidence if the margin of error decreases .

The answer is that Level of confidence decreases if the margin of error decreases(when the sample size is kept the same) Goes Down.

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Answer

660in²

Step-by-step explanation:

B1=30

B2=36

h=20

1/2*20(30+36)

1/2*20(66)

10(66)

660in²

Answer: y < -4

Step-by-step explanation: