Put the following equation of a line into slope-intercept form
2x - 2y = 6

Answer:

18 meals

Step-by-step explanation:

3/4 of 24 is 18. That means his food will last for 18 meals.

The question is incomplete. Here is the complete question.

Scenario: You are bored during quarantine. However, you have been observing a bird feeder in your backyard and wow... do there seem to be a lot of squirrels in your neighbourhood. You begin to wonder how many squirrels are actually in your neighbourhood and devise an experiment to track their population.

Part 1. Using the data below, estimate the population of squirrels in your neighbourhood as if you employed the Mark-and-Recapture method. Please be sure to include any units in your final answer.

#captured on 06/01/20                          10

#captured on 06/30/20                          6

#recaptured on 06/30 from 06/01         3

Part 2. Calculate the rate of change in your neighbourhood population of squirrels based on the data from a June 2015 report that indicated a population of 40 squirrels.

Part 3. Calculate the intrinsic growth rate (r) for this population of squirrels based on the data you have acquired so far.

Part 4. Interpretations: In 1-2 sentences, summarize what's happening here (e.g. is the population growing or shrinking or staying the same?) and propose one plausible explanation for this change.

Answer: Part 1: Population of 20 squirrels

              Part 2: Rate of change 50%

              Part 3: r = -0.1386 anos

Step-by-step explanation: The Mark-and-Recapture method is a method to estimate a population when counting each individual is impractical. The method consists in capture a small population of individuals, mark them and released them back to the population. After a while, you catch another group and record the ones with the mark.

The calculations are made following this formula:

[tex]N=\frac{M*C}{R}[/tex]

N is the estimated population

M is marked individuals

C is total number of captured individuals (with and without the mark) the second time

R is recaptured individuals with the mark.

Part 1: Population of squirrels will be:

[tex]N=\frac{10*6}{3}[/tex]

N = 20

Population of squirrels in 2020 is 20 squirrels.

Part 2: Rate of change is calculated by the change in the population divided by the original population:

rate = [tex]\frac{20-40}{40}[/tex]

rate = - 0.5 or 50%

Part 3: The model for a population growth is exponential:

[tex]N=N_{0}e^{rt}[/tex]

N is population at that moment

N₀ is initial population

r is growth rate

t is period of time

Growth rate will be:

[tex]N=N_{0}e^{rt}[/tex]

[tex]20=40e^{5r}[/tex]

[tex]e^{5r}=0.5[/tex]

[tex]5r=ln(0.5)[/tex]

[tex]r=\frac{ln0.5}{5}[/tex]

[tex]r=-0.1386[/tex]

Growth rate (r) for the population of squirrels after 5 years is [tex]r=-0.1386[/tex] years.

Part 4: The growth rate has a negative sign, which means population is decreasing along the 5 years, so population is shrinking.

One possible explanation is the environment the population are in is lacking the squirrels primary need, i.e., squirrels' food source is diminishing, causing the population to decrease.

Answer:

2.2

Step-by-step explanation:

Answer:

10: No

11: No

12: Yes

13: No

Step-by-step explanation:

8 / 3 = 2.66

4 / 3 = 1.33

24 / 3 = 8

38 / 3 = 12.66

Hope this help and have a great day!

Volume of cuboid :

[tex]14 = x^2h\\\\h = \dfrac{14}{x^2}[/tex]

Surface area of this cuboid :

[tex]A = 2( x^2 + xh + xh )\\\\A = 2( x^2 + 2xh)[/tex]

Putting [tex]h = \dfrac{14}{x^2}[/tex] in above equation, we get :

[tex]A=2(x^2 + 2x\times \dfrac{14}{x^2})\\\\A = 2( x^2 + \dfrac{28}{x} )[/tex]

For minimum area, [tex]\dfrac{dA}{dx}=0[/tex] :

[tex]\dfrac{dA}{dx}=2( 2x -\dfrac{28}{x^2})\\\\\dfrac{dA}{dx }= 4(x - \dfrac{14}{x^2})\\\\x - \dfrac{14}{x^2}=0\\\\x=\sqrt[3] {14} = 2.41[/tex]

Therefore, value of x is 2.14 .

Hence, this is the required solution.

The dimension for which the volume is 14 and the surface area is as small as possible are 2.41 by 2.41 by 2.41

The formula for calculating the volume of the square box is expressed as:

[tex]V = x^2h[/tex]

Given that the volume of the box is 14, on substituting the value we will have:

[tex]14 =x^2h\\h=\frac{14}{x^2}[/tex]

The surface area of the box is expressed as:

[tex]S = 2(x^2+xh+xh)\\S=2(x^2+2xh)\\S = 2(x^2+2x(\frac{14}{x^2} ))\\S = 2(x^2+\frac{28}{x} )\\S=2x^2+\frac{56}{x}[/tex]

To get the surface area is as small as possible, then dS/dx = 0

[tex]\frac{dS}{dx} = 4x-\frac{56}{x^2}\\0 = 4x-\frac{56}{x^2}\\4x = \frac{56}{x^2}\\4x^3 = 56\\ x^3=14\\x=\sqrt[3]{14}\\x= 2.41[/tex]

Get the height of the box. Recall that;

[tex]h=\frac{14}{x^2}\\h=\frac{14}{(2.41)^2}\\h=\frac{14}{5.8081}\\h= 2.41[/tex]

Hence the dimension for which the volume is 14 and the surface area is as small as possible are 2.41 by 2.41 by 2.41

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Complete Question

Consider H0: μ=38 versus H1: μ>38. A random sample of 35 observations taken from this population produced a sample mean of 40.27. The population is normally distributed with σ=7.2.

Calculate the p-value. Round your answer to four decimal places.

Answer:

The   [tex]p-value = 0.030742[/tex]

Step-by-step explanation:

From the question we are told that

  The population mean is  [tex]\mu = 38[/tex]

   The sample size is  n = 35

   The sample mean is  [tex]\= x = 40.27[/tex]

   The standard deviation is  [tex]\sigma = 7.2[/tex]

The null  hypothesis is  [tex]H_o[/tex]: μ=38

The alternative hypothesis is H1: μ>38

Generally the test statistics is mathematically represented as

      [tex]t = \frac{ \= x -\mu }{\frac{\sigma }{ \sqrt{n} } }[/tex]

=>    [tex]t = \frac{ 40.27 - 38 }{\frac{ 7.2 }{ \sqrt{ 35} } }[/tex]

=>    [tex]t =1.87[/tex]

Generally from the z table the p-value of  [tex](Z > 1.87 )[/tex]  is  

    [tex]p-value = P(Z > 1.87) = 0.030742[/tex]

Answer:

The function is an x exponential function.

The domain is infinite

The range is y<2

Let x be the amount of 90% solution you will use.

You have 350 mL of a 15% alcohol solution, so it contains 0.15 • 350 mL = 52.5 mL.

For each mL of the 90% solution that you use, you would add 0.9 mL of alcohol. So in the new mixture, the volume would be (350 + x) mL, and its concentration needs to be 40% so that

((52.5 + 0.9x) mL) / ((350 + x) mL) = 0.4

Solve for x :

(52.5 + 0.9x) / (350 + x) = 0.4

(52.5 + 0.9x) / 0.4 = 350 + x

131.25 + 2.25x = 350 + x

1.25x = 218.75

x = 175

so you will need to use 175 mL of the 90% solution.

Using the distributive property, 3(50.15) can be simplified to 150.45 by multiplying 3 with each term inside the parentheses.

The distributive property is a fundamental concept in mathematics, explains how multiplication distributes over addition or subtraction. It says that you can distribute or apply the multiplication to each term inside the parentheses separately when you multiply a number by a sum or difference enclosed in parentheses.

expression: 3(50.15)

apply the distributive property, which states that a number outside parentheses can be multiplied by each term inside the parentheses.

Multiply 3 by 50.15.

3 × 50.15 = 150.45

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Answer:

C.) moderate negative asdocation

this is because its going down (which means negative) and its not in a perfect line

statement best describes the association between variable X and variable Y is c.) moderate negative association

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

We take two points lying on the line representing the best relationship between variables X and Y.

Points are (1, 9) and (2, 8), so the slope will be (y₂ - y₁)/(x₂  -x₁)

Slope = (9- 8)/(1-2) = -1

Since the slope is negative, the Slope of (-1) shows the negative relationship between X and Y which may be represented by Y = (- X), the equation of a line.

thus It is a negative Association for sure.

A perfect negative correlation has a value of -1.0 and indicates that when X increases by z units, Y decreases by exactly z; and vice-versa. In general, -1.0 to -0.70 suggests a strong negative correlation, -0.50 a moderate negative relationship, and -0.30 a weak correlation.

Therefore, the association between variables X and Y can be best described as Option c.) moderate negative association

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Answer:

f=5/6

Step-by-step explanation:

Answer: Are you giving us the answer?

Step-by-step explanation:

Are you giving us the answer.

Answer:

[tex]a=16[/tex]

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write equation

[tex]6=\frac{a}{4} +2[/tex]

Step 2: Solve for a

Step 3: Check

Plug in a to verify it's a solution.

Answer:

[tex]e. \: productivity[/tex]

Answer:

4/9

Step-by-step explanation:

Put it in a calculator and you get .4 but there's a lot of 4's. That's the repeating decimal.

Answer:4/9 and 4/7

Step-by-step explanation: Trust

Answer:

2 products a second.

Step-by-step explanation:

Answer:

no slope

Step-by-step explanation:

when it goes straight down it has no slope. just did this question. good luck!

Answer: 5 to 9

Step-by-step explanation:

you just add them all together! (:

Answer:

There is no table, but here's a formula;

48 miles multiplied by x amount of gallons

Step-by-step explanation:

The answer is c area 3

Answer

C.

Step-by-step explanation:

Answer:

It's p - 41.

Step-by-step explanation:

We're trying to find how many pictures Rick drew, which is 41 less than how many Mike drew, p. To find the expression in situations like these, always take how many fewer was drawn from the amount the other person drew, which would be 41 - p. But this would most likely give us a negative answer, which isn't possible. Switch them around and you have p - 41.

Answer:

(-½, ½)

Step-by-step explanation:

r = -2x.  The geometric series converges when -1 < r < 1.

-1 < -2x < 1

½ > x > -½

The interval of convergence is (-½, ½).

Answer:

Step-by-step explanation:

.......

...................

The degree of the given polynomial x⁵ - 4x + 2 is 5. The correct answer is option A. 5.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The degree of a polynomial is the highest power of the variable with a non-zero coefficient.

As per the question,

Here, 5 is the highest power of x with a non-zero coefficient.

Therefore, the degree of x⁵ - 4x + 2 is 5.

Hence, the correct answer is option A. 5.

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Answer:

1.7

Step-by-step explanation:

That was the correct answer trust me