A nature preserve opened with a population of 6 rabbits. After one year, the number of rabbits had doubled. The year after that, the number of rabbits doubled once again. Assuming that this pattern continues, plot the solution points for the first three years along with the y-intercept. Let y represent the number of rabbits on the nature preserve after x years. I have to graph it, the max y number is 60 and the max x number is 5.

According to the means, the average typical daily sales for Farmer's equation Market A are higher than the average typical daily sales for Farmer's Market B.

A mathematical statement which thus proves the equality of two factors linked by an equal sign '=' is known as an equation. For example, 2x - 5 = 13. Two examples of phrases are 2x-5 and 13. The character '=' is used to connect the two expressions. A mathematical formula with two algebraic expressions on either side of a =) (=) is called an equation. It depicts the relationship of equivalence between left and right equations. In any formula, L.H.S. = R.H.S. (left side = right side).

\($30 + $31 + $32 + $33 + $35 + 36 + $38 + $40 + $41 + $42 + $43 + $45 + $47 + $49 + $50 = $575 for Farmer's Market A\)

Because there are 15 days, we divide the total sales by 15 to find the mean:

Farmer's Market A Mean \(= $575/15 = $38.33\)

Farmers' Market B:

\($20 + $22 + $24 + $26 + $28 + $31 + $32 + $34 + $36 + $39 + $40 + $42 + $44 + $46 + $49 = $524\)

Farmer's Market A has a mean of $38.33, while Farmer's Market B has a mean of $34.93. According to the means, the average typical daily sales for Farmer's Market A are higher than the average typical daily sales for Farmer's Market B.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

x=90

Step-by-step explanation:

3x-160 = x+20. Why you may ask? they are corresponding angles which makes them congruent. 2x = 180, so x = 90

Answer:

90

Step-by-step explanation:

angle 1 and 4 are equivalent so:

3x - 160 = x + 20

_________________

3x - 160 = x + 20

   +160   I  +160

  3x = x + 180

  - x  I   - x

   2x = 108

   ÷2  I ÷2

      x = 90

Answer:

55

Step-by-step explanation:

4.42 x 32%

Answer:

Each blueberries serving contain 21 calories or the slope of this is 21

Step-by-step explanation:

The slope is rise/run

We see that when the x increase by 1, the y increase by 21, so the slope is 21.

Answer:

18 / 2 = 9

9 / 2 = 4.5

4.5 / 2 = 2.25

The next three terms are 9,4.5,2.25

Hope this helps

Step-by-step explanation:

Answer:

The correct answer is - A.(112.86, 127.14)

Step-by-step explanation:

Given:

mean = $120

sd = $17.50

n = 40

Solution:

Confidence interval for a populationcan be express as mean +/- margin of error (E)

degree of freedom = n-1 = 40-1 = 39

confidence level (C) = 99% = 0.01

significance level = 1 - C = 1 - 0.01 = 0.99 = 99%

 by margin of error E = t×sd/√n = 2.58*17.50/√40

= 2.58*2.76

= 7.138 or 7.14

then the lower limit of mean = mean - E = 120 - 7.14 = $112.86

and, the upper limit of population mean = mean + E = 120 + 7.14 = $127.14

Answer:

The approximate side length is between 10 ft and 11 ft

Step-by-step explanation:

Here, we are interested in calculating the approximate length of the square shaped pool.

Mathematically, the area of a square is s^2 where s represents the length of its side

in this case; s^2 = 120

s = √120

s = 10.95 approximately

So the length of the side of the square is between 10 and 11 ft

Y in represents the following in this linear regression Y = α₀+α₁X+α₂X₂+ε: C. dependent variable.

In Mathematics and Geometry, a regression line is a statistical line that best describes the behavior of a data set. This ultimately implies that, a regression line simply refers to a line which best fits a set of data.

In Mathematics and Geometry, the general functional form of a linear regression can be modeled by this mathematical equation;

Y = α₀+α₁X+α₂X₂+ε

Where:

In conclusion, Y represent the dependent variable or response variable in a linear regression.

Read more on linear regression here: brainly.com/question/16793283

#SPJ1

Answer:

8 oz of cocacola drink containing caffeine

8 oz of Decaffeinated Coke

Step-by-step explanation:

Th independent variables is that variable which causes a change in the output or the dependent or response variable. In the scenario described above, the type of drink Given to the participants is the independent variable

The Independent variable is the type of drink Given to the subjects with two levels ;

Levels :

cocacola drink containing caffeine

Decaffeinated Coke

Therefore, we can conclude that, there are two levels Of the jndependent variable, which are stated above.

Answer:

sure

Step-by-step explanation:

AnswerAnswer:

a= -2

Step-by-step explanation

\(\huge\underline{\purple {A}\purple{n}\purple {s}\purple {w}\purple {e}\purple {r} ➾}\)

Step-by-step explanation:

The smallest p-value is always associated with the z-score that is furthest away from the mean. This is because the tails of the normal distribution curve have less area and thus represent smaller p-values. The correct answer is option (d) z = -3.24.

In a hypothesis test, there are two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1).

The null hypothesis is the one we're testing, while the alternative hypothesis is the one we're trying to support or prove.

A two-tailed alternative hypothesis is one in which we are interested in whether a parameter is not equal to a certain value, as opposed to one-tailed alternative hypotheses, in which we are interested in whether the parameter is greater than or less than a certain value.

To know more about distribution visit

https://brainly.com/question/29332830

#SPJ11

We can drag the particles in mass/grams measurement to the corresponding descriptions as follows:

1.  1.6744 × 10⁻²⁴: Two electrons and 0ne proton

2. 5.021 × 10⁻²⁴: Two protons and one neutron

3. 5.0224 × 10⁻²⁴: One proton and two neutrons

4. 3.3484  × 10⁻²⁴: One electron, one proton, and one neutron

To match the measurements to the descriptions first note that one neutron is 1.6749 × 10⁻²⁴. One proton is equal to  1.6726 × 10⁻²⁴ and one electron is equal to  9.108 × 10⁻²⁸.

To obtain the right combinations, we have to add up the particles to arrive at the constituents. So, for the figure;

1.6744 × 10⁻²⁴, we would

Add 2 electrons and one proton

= 2(9.108 × 10⁻²⁸) + 1.6726 × 10⁻²⁴

= 1.6744 × 10⁻²⁴

The same applies to the other combinations.

Learn more about electrons and protons here:

https://brainly.com/question/1481324

#SPJ1

Answer:

3/25 for type B, 1/25 for type AB, and 4/25 for both

Step-by-step explanation:

O goes to 22

A goes to 20

B goes to 6

AB goes to 2

22+20+6+2 = 50, so (number of people with a certain blood type)/50 = the answers for each question.

To find the surface area generated by rotating the curve \($x=e^t-t$\) about the y-axis, we can use the formula for the surface area of revolution:

\($S = 2\pi \int_{a}^{b} f(x) \sqrt{1 + \left(\frac{dy}{dx}\right)^2} dx$\)

In this case, we need to express the curve in terms of y. Let's solve for t in terms of x:

\($x = e^t - t$\)

To isolate t, we take the natural logarithm of both sides:

\($\ln(x+t) = t$\)

Now, differentiate both sides with respect to x using the chain rule:

\($\frac{1}{x+t} \frac{d}{dx}(x+t) = \frac{d}{dx} t$\)

\($\frac{1}{x+t} = \frac{dt}{dx}$\)

Now, we can substitute this expression for  \($\frac{dt}{dx}$\) in the surface area formula:

\($S = 2\pi \int_{a}^{b} f(x) \sqrt{1 + \left(\frac{dy}{dx}\right)^2} dx$\)

\($S = 2\pi \int_{a}^{b} (e^t - t) \sqrt{1 + \left(\frac{1}{x+t}\right)^2} dx$\)

\($S = 2\pi \int_{a}^{b} (e^t - t) \sqrt{1 + \frac{1}{(x+t)^2}} dx$\)

Since we want to rotate about the y-axis, we need to express the integral in terms of y. We know that \($x = e^t - t$\), so we can rewrite the integral as:

\($S = 2\pi \int_{c}^{d} (x(y) - \ln(x(y))) \sqrt{1 + \frac{1}{(x(y)+\ln(x(y)))^2}} \left(\frac{dx}{dy}\right) dy$\)

We can now evaluate the integral to find the surface area. The limits of integration, \($c$\) and \($d$\), depend on the range of y-values that correspond to the curve \($x=e^t-t$.\)

To know more about curve visit-

brainly.com/question/32569366

#SPJ11

Answer:

8

Step-by-step explanation:

Answer:

8mph

Step-by-step explanation:

Because it took Ruthene 1/4 of an hour or 15 minutes to run two miles, if she were to run for an entire hour she would go 4 times as far, or 8 miles. This means that Ruthene had an average speed of 8mph.

Answer- 9 shelves

In order to find out how many shelves are need we must divided 175 into 20. 175 divided by 20 is 8.75. But, because you cannot have have .75 of a shelf, you have to round this to a whole. This means that 9 shelves will be the least needed number of shelves need to store 175 books. To check this answer 20 books X 8 shelves is 160 books, which means eight shelves can only store 160 books, we will need and additional shelf to store the last 15 books.

HOPE THIS HELPS & GOOD LUCK!

Answer:

A: 2 Feet

Step-by-step explanation:

Got it right

\(< 5,-4 > - < 2,3 > \implies < 5-2~~,~~-4-3 > \implies < 3~~,~~-7 >\)

The simplest ratio of circles to squares is 3 : 5.

Ratio is used to show the relationship between two or more numbers. expresses. It shows the number of times that one value is contained within other value(s).

The simplest ratio of circles to squares = number of circles : number of squares

6 : 15

3 : 5

To learn more about ratios, please check: https://brainly.com/question/25927869

#SPJ2

Answer:

0.01190476, but since you have to round to the nearest hundredth your answer should be 0.01

Answer:

0.01

Step-by-step explanation:

6800 seconds converted into weeks is 0.011243386

If you round it to the nearest hundredth, the number next to the second 1 from 0.011243386 the second one tells the first one to stay the same so you get 0.01.

Hope this helps!!

List could be the one Akeem created is option D . 0.21  22%  1/4  0.35  3/8  38%.

Given:

Akeem created a list by correctly putting a group of fraction in percentage and decimals order from least to greatest value.

Least to greatest value:

Option D :

0.21  22%  1/4  0.35  3/8  38%

= 22 %

= 22 / 100

= 0.22

1/4 = 0.25

3/8 = 0.375

38 = 38 / 100

= 0.38

0.21 < 0.22 < 0.25 < 0.35 < 0.375 < 0.38.(least to greatest)

Hence Option D is correct.

Learn more about the fraction here:

https://brainly.com/question/10354322

#SPJ4

Full question:

Is in the image uploaded.

Answer:

Not Proportional

Step-by-step explanation:

Answer:

Proportional

Step-by-step explanation:

I just took the test

Have a nice day!

The value of x in the equation is -32.8.

To solve for X in the equation X - (-1.8) = -31, we need to follow some basic algebraic steps.

The first step is to simplify the equation by adding the two negatives, which would result in X + 1.8 = -31. The next step would be to isolate X by subtracting 1.8 from both sides of the equation.

This will give us X = -32.8.
The value of X in this equation is -32.8.
It's essential to keep in mind the basic rules of algebra when solving such equations.

By following the rules and taking it step by step, we can solve any equation, regardless of how complex it may seem.
In conclusion,

X - (-1.8) = -31 is a straight forward equation that can be solved using basic algebraic steps.

The value of X is -32.8.
The given equation is X - (-1.8) = -31.
When you see a subtraction of a negative number, you can rewrite it as addition of the positive number. So, X - (-1.8) becomes X + 1.8. The equation now is:
X + 1.8 = -31
To find the value of X, subtract 1.8 from both sides of the equation:
X + 1.8 - 1.8 = -31 - 1.8

We can simplify by adding the values of the two negative numbers on the left side of the equation:

X + 1.8 = -31

Next, we can isolate the variable x by subtracting 1.8 from both sides of the equation:

X = -31 - 1.8

Simplifying further, we get:

X = -32.8
This simplifies to: X = -32.8
So, the value of X is -32.8 in the equation X - (-1.8) = -31.

For similar question on value  :

https://brainly.com/question/30781415

#SPJ11

The number of ways that can she rank 9 applications should be 126.

What is the definition of combination in math?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

Calculation of the number of ways:

Since A manager receives 9 applications for a specific position. She wants to narrow it down to 4.

So here we do apply the permutation here:

9*8*7*6/ 4*3*2

=126

Hence, The number of ways that can she rank 4 applications should be 126

Learn more about ways here:

brainly.com/question/18988173

#SPJ4

Answer:

below

Step-by-step explanation:

A triangle can only be a triangle if the two shortest sides add up to be greater than the longest side.

For example on the first one, the segments 1 2 and 3 will not make a triangle as 1 + 2 = 3 and if the two smallest sides of a triangle are equal to the longest side it will not be a triangle at all.

So to make this easy, out of the three numbers given: add the two smallest numbers. This number has to be greater than the third number given, and it cannot be equal.

For question three: 3+9 = 12

And 12 is greater than 11, therefore this can make a triangle.

============================================================

Explanation:

It might help to rotate the figure so the parallel sides are horizontal. This is optional.

The parallel bases are \(b_1 = 6\) and \(b_2 = 4\) in either order.

The height is h = 4 which is always perpendicular to both bases.

Plug these values into the trapezoid area formula.

\(A = \frac{h(b_1 + b_2)}{2}\\\\A = \frac{4(6+4)}{2}\\\\A = \frac{4(10)}{2}\\\\A = \frac{40}{2}\\\\A = 20\\\\\)

The area of the trapezoid is 20 square units.

-----------

Another pathway is to break the trapezoid into a rectangle up top and a triangle down below.

The rectangle is 4 by 4 with area 4*4 = 16

The triangle has a base of 6-4 = 2 and height of 4, so its area is base*height/2 = 2*4/2 = 8/2 = 4

Overall the total area is rectangle+triangle = 16+4 = 20 square units.

Answer:

x=-12

Step-by-step explanation:

\(16+\frac{2}{5}x=\frac{-3}{5}x+4\)

Fraction \(\frac{-3}{5}\) can be rewritten as \(-\frac{3}{5}\)  by extracting the negative sign.

\(16+\frac{2}{5}x=-\frac{3}{5}x+4\)

Add \(\frac{3}{5}x\) to both sides.

\(16+\frac{2}{5}x=\frac{3}{5}x+4\)

Combine \(\frac{2}{5}x\) and \(\frac{3}{5}x\) to get \(x\)

\(16+x=4\)

Subtract 16 from both sides.

\(x=4-16\)

Subtract 16 from 4 to get -12

\(x=-12\)

Hope this helps!

~

Using proper notation the length of the line segment is bar XY = 7.

option C

The length of a straight line is the distance between the two end points of the line.

Mathematically, the formula for the length of a line is given by the following formula as follows;

L = √ (x₂ - x₁)² + ( y₂ - y₁ )²

where;

The length of the line on segment XY is calculated as;

|XY| = √ (x₂ - x₁)² + ( y₂ - y₁ )²

OR

bar XY = √ (x₂ - x₁)² + ( y₂ - y₁ )²

So we can use double absolute line or bar on top XY to represent the length of the line segment.

Learn more about length of lines here: https://brainly.com/question/1597347

#SPJ1

The correct notation for representing the length of a line segment from point X to point Y is 'XY=7', which denotes the line segment is 7 units long. Other similar notations, like Y=7 or X=7, are typically used for different purposes in math.

In mathematics, we use the proper notation XY=7 to denote the length of a line segment from point X to point Y. In this case, option C is the correct answer given that XY=7.

Let's break this down:

Notations similar to the other options, such as Y=7 or X=7, are typically used for other purposes in mathematics, such as representing a single variable equation.

https://brainly.com/question/36677961

#SPJ11

Answer:

Less than

Step-by-step explanation:

One quart is .25 of a gallon