1. On October 15, 2012, the beginning of the squirrel hunting season for the year, biologist counted 75 squirrels in a 30-hectare woods. On December 15, 2012, they counted 42 squirrels in the same woods. What was the density of the squirrel population on

The bicycle manufacturer is studying the reliability of its models and analyzing the probability of defects. They found the probability of a brake defect is 4 percent and the probability of both brake and chain defects is 1 percent.

Given that the probability of a defect with brakes or chain is 6 percent, we can find the probability of a chain defect using the formula: P(A and B) = P(A|B) * P(B), where P(A and B) is the probability of both events A and B occurring, P(A|B) is the probability of event A occurring given that event B has occurred, and P(B) is the probability of event B occurring.

In this case, we want to find the probability of a chain defect given that there is a defect with either the brakes or the chain. Let's use the events: A = brake defect, B = chain defect, From the problem statement, we know that: P(A) = 0.04 (probability of a brake defect), P(A and B) = 0.01 (probability of both a brake defect and a chain defect)
P(A or B) = 0.06 (probability of a defect with the brakes or the chain).

To find P(B|A or B), we can use the formula: P(B|A or B) = P(A and B) / P(A or B) = 0.01 / 0.06, = 1/6, = 0.1667, So the probability of a chain defect given that there is a defect with either the brakes or the chain is 16.67%, or approximately 2/12 or 1/6.

Therefore, the correct answer is option 2: 2%, Solving for the probability of a chain defect, we get: P(chain defect) = 0.06 - 0.04 + 0.01 = 0.03, So, the probability of a chain defect is 3 percent.

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Mother spent (4r - 8) dollars more on cherries than did the father.

An expression using numbers and related operations is called a numerical expression.

According to the question, a pound of cherries costs $4.

Mom purchased r pounds.

The price of the cherry is calculated as follows: 4r = weight x $/lb.

Father purchased 2 pounds, thus the price of the cherries is 4 (2), or $8.

We remove the smaller value from the higher value, which is 4r - 8, where r must be more than two. Given that the mother spent more money on cherries than the father, the mother's cost of cherries is a greater value.

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The correct statements are

b) The addition of plasticizer increases the Tg of base polymer

d) For a given polymer, Tm is always higher than Tg.

* **(a)** is incorrect because both crystalline and amorphous polymers have Tg. Tg is the glass transition temperature, which is the temperature at which a polymer transitions from a glassy state to a rubbery state. Crystalline polymers have a higher Tg than amorphous polymers because the crystalline regions are more rigid.

* **(b)** is correct because plasticizers are molecules that disrupt the intermolecular forces in a polymer, making it more flexible. This means that the Tg of the polymer will be increased.

* **(c)** is incorrect because the Tm of PET is 245°C, which is above 100°C. PET bottles shrink when filled with hot water because the hot water causes the polymer chains to become more flexible and move more freely. This results in a decrease in the volume of the bottle.

* **(d)** is correct because Tg is the temperature at which the polymer chains are able to move freely, while Tm is the temperature at which the polymer chains are able to break free from each other and flow. Therefore, Tm must always be higher than Tg.

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Answer: He received $3.51 in change.

Step-by-step explanation:

To get the answer we can subtract the amount Felix paid ($20) by the cost of the dinner ($16.49).

It will look like this:

$20.00 - $16.49 = $3.51

Answer:3 dollars and 51 cents

Step-by-step explanation:

hi <3

it would be 0.8

hope this helps :)

Let A(2,0),B(0,92)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)Point =(−1,3p)=(−1,3×31)=(−1,1)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)Point =(−1,3p)=(−1,3×31)=(−1,1)Putting (−1,1) in line

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)Point =(−1,3p)=(−1,3×31)=(−1,1)Putting (−1,1) in line5x+3y+2=0

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)Point =(−1,3p)=(−1,3×31)=(−1,1)Putting (−1,1) in line5x+3y+2=0⇒5(−1)+3(1)+2=0

Answer:

Step-by-step explanation:

product of 6 and 7= 6×7= 42

product of 6 and 7 square root 128= 42✓128

42✓128= 42✓64×2= 42×8✓2

42×8√2 = 336√2

therefore, the product of 6 and 7 square root 128 in simplest radical form is 336✓2

The Scientific notation for above value is :

\( \boxed{ \boxed{9.65\times 10 {}^{14} }}\)

To write the equation in proper form, we can divide the entire equation by \(t^9\):

\[y^{(5)} - \frac{t^{-6}}{t^{-12}}y'' + 6t^{-9}y = 0\]

Simplifying further, we can multiply the equation by \(t^{12}\):

\[t^{12}y^{(5)} - t^3y'' + 6y = 0\]

Therefore, the given differential equation is:

\[t^{12}y^{(5)} - t^3y'' + 6y = 0\]

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Answer:

Here,

-2xy³

The exponent of x = 1

The exponent of y = 3

Thus, the degree of the term = 1+3 = 4

Step-by-step explanation:

Given the term

-2xy³

We know that the degree of the term involving xy expression cab be calculated by adding the exponents of x and y.

Here,

-2xy³

The exponent of x = 1

The exponent of y = 3

Thus, the degree of the term = 1+3 = 4

Answer:

Max

Step-by-step explanation:

the function given that h = -16t³+64t+10

the general function Equation:

h = at²+bt+c

=> t at the highest point is defined by t = -b/2a

= -64/2(-16) = -64/-32 = 2 second

the total times that the ball hits the ground

= 2× 2 seconds = 4 seconds.

so, Max is right

Answer:

Solution given:

Let h=0=when the ball hit the ground,the height=0.

h= -16t^2 + 64t + 10.

0=16t²-64t-10

8t²-32t-5=0

∆=\( \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}\)

taking positive

t1=\( \frac{8+\sqrt{74}}{4}=4.15seconds\)

t2=\( \frac{8-\sqrt{74}}{4}(t2<O)(neglected)\)

So

t=4.15seconds closer to 4seconds.So

Max is closer.

Considering the vertex, the quadratic equation that models the path of the golf ball is given by:

y = -0.0011875(x - 400)² + 190

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

In this problem, the vertex is at the maximum height of the parabola, given by (400, 190), hence h = 400, k = 190, and:

y = a(x - 400)² + 190

It starts at the origin, that is, when x = 0, y = 0, hence:

0 = 400²a + 190

a = -190/400²

a = -0.0011875.

Hence, the equation is:

y = -0.0011875(x - 400)² + 190

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Answer:

3x - 3 = -12

X = -3

-3 x 3 = -9

-9 - 3 = -12

Hope this helps

Answer:

x=-3

Step-by-step explanation:

\(3x - 3 = - 12 \\ 3x = - 12 + 3 \\ 3x = - 9 \\ x = \frac{ - 9}{3} \\ x = - 3\)

Answer:

1. Equation is x - 5 = 8

x = 13

2. Equation is 4x - 4 = 10

x = 3.5

3. Equation is x/4 = 8

x = 32

4. Equation is 5x = 10

x = 2

5. Equation is x - 5 / 2 = 14

x = 33

6. Equation is 4x / 5 = 10

x = 12.5

7. Equation is 2x - 10 = 8

x = 9

8. Equation is 3x + 6 / 3 = 10

x = 8

9. Equation x + 8 / 4 = 14

x = 48

Step 1: Problem

Graph 12x - 3y = -6

Step 2: Concept and Method

When x = 0

12(0) - 3y = -6

-3y = -6

y = -6/-2

y = 2

when y = 0

12x - 3(0) = -6

12x = -6

x = -6/12

x = -0.5

The process of breaking down a complex argument or problem into smaller, more manageable components is known as "analysis" or "analytical reasoning."

This approach allows us to examine the various parts of a complex issue individually, facilitating a deeper understanding and easier solution finding.

Analytical reasoning involves dissecting a problem or argument into its constituent elements, identifying relationships between them, and evaluating their individual roles and contributions. By breaking down the problem, we can focus on each component separately, which can lead to clearer insights and more effective problem-solving strategies.

This method of analysis is commonly used across various disciplines, including mathematics, science, philosophy, and critical thinking. It helps us understand complex phenomena, solve intricate equations, and make informed decisions based on careful examination.

The benefits of breaking down a big argument or problem into smaller components are manifold. It helps to identify patterns, uncover hidden relationships, and clarify any ambiguities or misconceptions. By addressing each component individually, we can apply specific strategies or methods that are relevant to that particular element, making the problem more approachable and manageable.

Overall, The process of breaking down a complex argument or problem into smaller, more manageable components is known as "analysis" or "analytical reasoning." It enables us to grasp intricate concepts, develop logical reasoning, and arrive at well-structured and comprehensive solutions.

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MEAN: =29.42

THE MEDIAN:

\((29 + 36) \times \frac{1}{2} = 32.5\)

that's my answer hope it helps

Answer:

46878954575

Step-by-step explanation:

Of the mentioned characteristics, that with the greatest range of values is Mass.

The mass of a star can range from about 0.08 solar masses to over 100 solar masses. This is a very wide range, and it is much wider than the ranges for radius, core temperature, or surface temperature.

The radius of a star is typically about 1-10 times the radius of the Sun. The core temperature of a star is typically about 10-100 million degrees Kelvin. The surface temperature of a star is typically about 2,000-30,000 degrees Kelvin.

Therefore, the mass of a star has the greatest range in values.

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Answer: log n = 4log2

Step-by-step explanation:

The 4th option is correct. The expression \(\log n=4(\log 2)\) is equivalent to the given expression.

Important information:

We need to find the equivalent equation.

Using the property of logarithm, the given expression can be written as:

\(\dfrac{\log n}{\log 2}=4\)           \(\left[\because \log_ab=\dfrac{\log b}{\log a}\right]\)

\(\log n=4(\log 2)\)

Thus, the 4th option is correct.

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Given,x-1/3=k

or, x-1=3*k (k=3)

or, x-1=3*3

or, x=9+1

Therefore, x=10

Answer:

b=0,-3

Step-by-step explanation:

b^2+3b=0

b(b+3)=0

b=0

b+3=0

b=-3

Answer:

b = 0 OR b = -3

Step-by-step explanation:

To start off with, we know that this must be a quadratic equation because there's a "^2".

Firstly, we have to bring everything over to one side of the equation. This means we have to add 3b to both sides, as we want the right-hand side to be 0.

b^2 = -3b

+3b   +3b

b^2 + 3b = 0

Secondly, we have to factorise. We need to see what number goes into both "b^2" AND "3b".

That is "b".

b^2 + 3b = 0

factor out b

b(b + 3) = 0

Thirdly, we have to use the Null Factor Law to find out what b equals. The Null  Factor Law states that if an equation equals 0, then one of the terms must either be 0, or the negative of the other number.

Hence, there are two answers.

b = 0

OR

b = -3

Answer: 2/5

Step-by-step explanation: hope it helps

Answer:

The area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet is 482.8 ft².

Step-by-step explanation:

An octagon is a polygon with eight sides. An octagon is regular (also called a regular octagon) is a polygon with all eight sides equal.

The apothem of a regular octagon is the shortest distance between the center and any of its sides, in other words, it is the distance that separates the center of the polygon from the central point of each side of the octagon.

The area is calculated using the following formula:

\(Area=\frac{n*L*Ap}{2}\)

Where:

Being n = 8 being an octagon and the perimeter P the sum of the sides of the octagon (P = 8 * L), the area of ​​the regular octagon can be calculated by:

\(Area=\frac{P*Ap}{2}\)

In this case:

Replacing:

\(Area=\frac{80ft*12.07ft}{2}\)

Solving:

Area=482.8 ft²

The area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet is 482.8 ft².

Answer:

Step-by-step explanation:

Combine like terms. The associative and commutative properties of addition apply, as does the distributive property.

__

1. (2x+5)+(3x-2) = (2x +3x) +(5 -2) = 5x +3

__

2. (3x-2)-(2x+5) = 3x -2 -2x -5 = (3x -2x) +(-2 -5) = x -7

__

3. (2x+5)-(3x-2) = 2x +5 -3x +2 = (2x -3x) +(5 +2) = -x +7

_____

Additional comment

Note that swapping the order of operands in a subtraction problem (problems 2 and 3) will cause the sign of the result to reverse.

Answer:

1. = 5x+3

Step-by-step explanation:

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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Answer: 7 hundreds are in 700

Step-by-step explanation: because if you divide 700 by 100 it equals 7.

Answer: 1729 trout.

Step-by-step explanation:

We can use the logistic growth model to estimate the number of trout after 2 years:

N(t) = K / (1 + (K/N0 - 1) * e^(-rt))

where:

N(t) is the number of trout at time t

K is the carrying capacity of the lake (2700 trout)

N0 is the initial population (275 trout)

r is the growth rate (75% or 0.75, per year)

e is the base of the natural logarithm, approximately equal to 2.71828

To estimate the number of trout after 2 years, we can plug in t = 2 and solve for N(t):

N(2) = 2700 / (1 + (2700/275 - 1) * e^(-0.75*2))

N(2) = 2700 / (1 + 8.8 * e^(-1.5))

N(2) ≈ 1728.7

Therefore, we can estimate that the number of trout after 2 years will be approximately 1729 trout.

The level of measurement for the data collected in the study (the average weight of newborn babies in ounces) is interval.

\

Interval data is a type of quantitative data, meaning it can be measured numerically and is used when the order or magnitude of the data is important. Unlike ordinal data, the difference between two values is the same regardless of where it falls in the scale.

For example, if two newborn babies weighed 5 and 10 ounces respectively, the difference between the two is 5 ounces. This 5-ounce difference would be the same no matter what order the babies were in. This is an example of interval data.

Another example of interval data would be temperature. When comparing temperatures, the difference between 60 and 70 degrees is the same as the difference between 70 and 80 degrees.

Interval data can be graphed on a line graph. It can also be used in calculations, such as the mean and standard deviation, as the data is numerical and can be averaged.

To summarise, the data collected in the study (the average weight of newborn babies in ounces) is interval data as it is numerical and the difference between two values is the same regardless of where it falls in the scale.


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Step-by-step explanation:

REMEMBER D/S×T (triangle)

therefore, finding time

D/S

80/24

make sure to press the degrees button on your calculator

3 hours and 20 minutes