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Answer:

  c.  x = 1

Step-by-step explanation:

c. The Pythagorean theorem applies. The square of the hypotenuse is the sum of the squares of the other two sides.

  2² = x² +(√3)²

  4 = x² +3

  1 = x² . . . . . . subtract 3

  1 = x . . . . . . . take the square root

Two consecutive odd integers with a sum of 36 are 17 and 19.

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Answer:

Two consecutive odd integers with a sum of 36 are 17 and 19.

Step-by-step explanation:

hope i helped

Answer:

The length of the diagonal from P to Q is

\( \sqrt{ {9}^{2} + {12}^{2} + {8}^{2} } = \sqrt{289} = 17\)

The sample variances for n=8 SS= 42 is 6 ,for N=8 SS= 28 is 4 and for N=8 SS=98 is 14.And the MS within SS is 168,DF is 21 and MS is 8.

To calculate the sample variance and the mean square within for each of the three samples.

To calculate the sample variance (S²) for each sample,

we can use the formula:
S² = SS / (n - 1)
I. Sample variance (S²) for the first sample:
S² = 42 / (8 - 1) = 42 / 7 = 6

II. Sample variance (S²) for the second sample:
S² = 28 / (8 - 1) = 28 / 7 = 4

III. Sample variance (S²) for the third sample:
S² = 98 / (8 - 1) = 98 / 7 = 14

Now, let's calculate the mean square within (MS within) for the ANOVA.

First, find the total sum of squares (SS total) and total degrees of freedom (DF total):
SS_total = SS1 + SS2 + SS3 = 42 + 28 + 98 = 16
DF_total = (n1 - 1) + (n2 - 1) + (n3 - 1) = (8 - 1) + (8 - 1) + (8 - 1) = 7 + 7 + 7 = 21

Then, calculate the mean square within (MS_within) using the formula:

MS within = SS total / DF total

= 168 / 21 = 8

So, the mean square within for the ANOVA is:
SS = 168, DF = 21, MS = 8
Our answer:
I. S² = 6
II. S² = 4
III. S² = 14
MS_within (ANOVA within treatments): SS = 168, DF = 21, MS = 8

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Answer:

x= -1

y= 2

Step-by-step explanation:

Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2

 y-intercept = 2/1  =  2

When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x= -1

 x-intercept = 2/-2 = 1/-1  = -1

Therefore, the net diversification rate for Clade A is 1.4 - 0.6 = 0.8 species per million years. Therefore, the net diversification rate for Clade B is 1.7 - 0.25 = 1.45 species per million years. "Clade B has higher net diversification because it has both a higher speciation rate and a lower extinction rate than Clade A"

In Clade A, there are 7 living species and 3 extinct species. The speciation rate can be calculated by dividing the number of living species (7) by the time period (5 million years), resulting in a rate of 1.4 species per million years. The extinction rate is calculated by dividing the number of extinct species (3) by the time period (5 million years), resulting in a rate of 0.6 species per million years. Therefore, the net diversification rate for Clade A is 1.4 - 0.6 = 0.8 species per million years.

In Clade B, there are 34 living species and 5 extinct species. The speciation rate can be calculated by dividing the number of living species (34) by the time period (20 million years), resulting in a rate of 1.7 species per million years. The extinction rate is calculated by dividing the number of extinct species (5) by the time period (20 million years), resulting in a rate of 0.25 species per million years. Therefore, the net diversification rate for Clade B is 1.7 - 0.25 = 1.45 species per million years.

From these calculations, we can see that Clade B has a higher net diversification rate compared to Clade A. Despite having a lower speciation rate, Clade B has a significantly lower extinction rate, resulting in a higher overall net diversification rate. Therefore, the statement "Clade B has higher net diversification because it has both a higher speciation rate and a lower extinction rate than Clade A" is the correct answer.

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The maximum mortgage payment allowed for someone with an annual salary of $73.025 would be $2,190.75 per month, so the correct option is A.

To determine, using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $73,025, the following calculation must be made:

Therefore, the maximum mortgage payment allowed for someone with an annual salary of $73.025 would be $2,190.75 per month.

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Answer:a

Step-by-step explanation:

Answer:

a. 16

Step-by-step explanation:

Consider these 3 values.

\( \sqrt{16} \\ \sqrt{27} \\ \sqrt{35} \)

Factor 16,27 and 35.

\( \sqrt{4 \times 4} \\ \sqrt{3 \times 3 \times 3} \\ \sqrt{3 \times 3 \times 5} \)

Pull out two same numbers out of the root.

\(4 \\ 3 \sqrt{3} \\ 3 \sqrt{5} \)

Rational only when there are no square roots after simplify/evaluating.

Thus a. 16 is only rational here.

Nοn hοmοgenοus equatiοn are οften fοrm dy/dx +P(y)=  Q(x) dy/dx=y²+cοs(x)

A differential equatiοn is οne that cοntains the derivative οf a functiοn.

1. Autοnοmοus differential equatiοns are differential equatiοns that are οf the fοrm.

dy/dx = f(y)

οur equatiοn is dy/dx = y² + cοs(x) and its nοt οf the abοve fοrm .Sο (A)  is ruled οut

2. lοgistic differential equatiοn are οf the fοrm :

y=r[1-(y/k)]y

οptiοn (C) is ruled οut as well

3. A separable differential equatiοn is any differential equatiοn that we can write in the fοllοwing fοrm.

N(y)dy/dx = M(x)Our equatiοn cannοt be seprated fοr x and y like separable differential equatiοns

sο οptiοn B is ruled οut as well.

4. Nοn hοmοgenοus equatiοn are οften fοrm dy/dx +P(y)=  Q(x) dy/dx=y²+cοs(x)

this cοuld be written as dy/dx - y²=  cοs(x) the fοrm matches

=> οptiοn (D) nοn hοmοgenοues is cοrrect

5.fequatiοns are like dy/dx + P(y) = 0 , the x term is missing

sο οptiοn (E) is nοt valid

6. The eqautοn is nοn linear in nature dy/dx=y²+cοs(x) , sο οptiοn (F) is ruled οut as well.

Optiοn (D) is cοrrect.

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The minimum value of the sum of squares is 3 when all three numbers are equal to 1.

Given the condition that the product of three positive integers x, y, and z is 1 and the sum of the squares is a minimum, we have to find out the three numbers that satisfy this condition.The three numbers that satisfy the condition arex = 1, y = 1, and z = 1 because the product of any number and 1 is the number itself, and the sum of the squares of all the numbers is also 1. Thus, the answer is (1,1,1).It can be proved mathematically that the answer (1, 1, 1) is correct:Product of three positive integers is 1 if and only if all three numbers are equal to 1.If three positive integers a, b, and c have a fixed sum, then the sum of the squares of two of the integers is the minimum when they are equal to each other and their sum is equal to half of the fixed sum.Thus, the sum of the squares of the three numbers is 1 + 1 + 1 = 3, and the minimum value of the sum of squares is 3 when all three numbers are equal to 1.

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Answer:

The answer is 1

Step-by-step explanation:

Any number to the power of 0 is 1

Answer:

Step-by-step explanation:

This is the answer because when you place a number to the 0th power then they are equal to 1. This applies to all numbers and variables.

Answer:

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Step-by-step explanation:

The quotient of 3/4 and 5/6, expressed in its simplest form, is 9/10 .To find the quotient of fractions, we need to divide the numerator of one fraction by the denominator of the other fraction.

To simplify the process, we can convert the division into multiplication by taking the reciprocal of the second fraction. The reciprocal of a fraction is obtained by interchanging the numerator and the denominator. So, the reciprocal of 5/6 is 6/5.

Now, we can multiply the fractions:

3/4 * 6/5 = (3*6)/(4*5) = 18/20

However, we need to simplify the fraction to its simplest form. To do this, we find the greatest common divisor (GCD) of the numerator and denominator, which is the largest number that divides both without leaving a remainder. In this case, the GCD of 18 and 20 is 2.

By dividing both the numerator and denominator of 18/20 by 2, we get the simplest form of the fraction:

18/20 ÷ 2/2 = 9/10

The quotient of 3/4 and 5/6, expressed in its simplest form, is 9/10.

It's important to note that simplifying fractions involves dividing both the numerator and denominator by their greatest common divisor. This ensures that the fraction is in its simplest form, where the numerator and denominator have no common factors other than 1.

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For the linear equations provided by the coordinates in the table;

The first equation of this system is y = -2x.

The second equation of this system is y = x - 3.

The solution to the system is (1, -2).

We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.

The slope (m) is given by the formula (y2 - y1) / (x2 - x1).

For the first line, we can use the points (-5,10) and (-1,2)

m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.

the first equation is y = -2x

the second line, we can use the points (-8,-11) and (-2,-5)

m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.

the second line has a slope of 1,

the equation should have the form y = x + c.

To find c, we can use one of the points, for instance (-2,-5):

-5 = -2 + c => c = -5 + 2 = -3.

So, the second equation is y = x - 3.

the solution to the system, we need to find where the two lines intersect.

y = -2x

y = x - 3

Setting both equation equally

-2x = x - 3

=> 3x = 3

=> x = 1.

Substituting x = 1 into the first equation

y = -2(1) = -2.

the solution to the system of linear equation would be (1, -2).

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Answer:

i don't know bbynnyjjyjjtjtnntnt

The answer is "Failure of the reproductive structures to survive the frost". It is the most common factor limiting aspen's distribution along with the western edge of range in Canada.

Aspen trees are the one that are adapted to surviving in cold climates or cold weather but reproductive structures, like flowers and fruits are more sensitive to the frost. Cold temperatures at the western end of the shivering Canadian Cottonwood Range can cause frosts that damage and destroy that reproductive structures. This factor is most common factor that is restricting the distribution of aspens along the western edge of their range in Canada.

In addition, the harsh climate of "may" also limit the growth of popular seedlings, thus, aspen's range is limited by a lack of reproductive and growing success in the colder parts of its range.

Full Question:

What is the most common factor limiting aspen’s distribution along the northwestern edge of aspen's range?

A. Failure of fruits to ripen

B. Failure of the reproductive structures to survive the frost

C. Herbivory

D. Failure of seed germination

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Answer:

y=29

x=9

Step-by-step explanation:

plug the first equation into the second one as y

2x+y=47

solve

then plug answer u got in x

y=3(9)+2

solve

Answer:

a) 2y

b) 69

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:  see below

Step-by-step explanation: Initial velocity = terminal velocity. At the top of travel, the velocity is 0 as the ball is motionless. Then it travels 3 seconds (due to gravity). Grav is 9.8m/sec squared. So 1st second = 9.8m. 2nd second is 2x9.8m. 3rd second is 3x9.8m = 29.4 m/sec.

The sum of two oppositely traveling EM waves in free space, with E1 Â Eo sin (wt - kz) and E2 Â Eo sin(Wt + kz) is a standing wave.

The two oppositely traveling EM waves in free space, with E1 Â Eo sin (wt - kz) and E2 Â Eo sin(Wt + kz) show that the sum of these two waves is a standing wave.

The two waves interfere to create a wave that doesn't appear to be moving. The standing wave is represented by E Â 2E0 cos(kz) sin(wt), where E0 is the maximum amplitude of the electric field and k is the wave number.

To find the magnetic field associated with each traveling wave, Maxwell's version of Ampere's Law can be used.The magnetic field associated with each wave is given by

B = µoE / c  where µo is the permeability of free space and c is the speed of light in a vacuum.

Therefore, the magnetic field associated with each traveling wave is given by

B1 = µoE1 / c  and B2 = µoE2 / c.

The Poynting vector for each traveling wave is given by

S = E x B µo. Therefore, the Poynting vector for the two waves is given by S1 = E1 x B1 µo  and S2 = E2 x B2 µo .

The time-average value of the Poynting vector is given by (1 / 2) E0² µo. The direction of the Poynting vector is perpendicular to the direction of propagation of the wave, and it represents the rate at which energy is transported by the wave.

The total magnetic field associated with the standing wave is given byB = B1 + B2. Substituting the expressions for B1 and B2 yields

B = µo / c (E1 - E2).

The Poynting vector for the standing wave is given by S = E x B µo.

Substituting the expressions for E and B yields

S = (2E0 sin(kz))² µo / 4c = E0² µo sin²(kz) / c.

The time-average value of the Poynting vector is (1 / 2) E0² µo, which is the same as that of the individual waves

The sum of two oppositely traveling EM waves in free space, with E1 Â Eo sin (wt - kz) and E2 Â Eo sin(Wt + kz) is a standing wave. Maxwell's version of Ampere's Law is used to find the magnetic field associated with each traveling wave. The Poynting vector for each traveling wave is found, and the time average value for each is determined. The total magnetic field associated with the standing wave is calculated. Finally, the Poynting vector for the standing wave is found, and the time average value is determined.

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Answer:

100(1/a + 1/b)

Step-by-step explanation:

Machine A takes a hours to make 100 bolts

Machine B takes b hours to make 100 bolts

Two machines will make:

bolts in one hour

In the 1984 domestic violence study conducted by Sherman and Berk, the ethical concern was that they potentially withheld a beneficial treatment.

The domestic violence study conducted by Sherman and Berk in 1984 raised an ethical concern in that they financially profited from the research. This raises the question of whether their motives were purely altruistic or whether they were driven by financial gain. Additionally, the study did not adhere to special protections for vulnerable populations such as women and children who may have been victims of domestic violence. This raises concerns about the validity and generalizability of the study's findings. Furthermore, the study potentially withheld a beneficial treatment, which raises questions about the ethical responsibility of researchers to ensure that their subjects receive the best possible care. Finally, there are also concerns that the researchers may have deceived their subjects, which raises questions about the integrity and transparency of the research process. In conclusion, the ethical concerns raised by this study highlight the need for researchers to carefully consider the impact of their research on vulnerable populations and to ensure that they adhere to the highest ethical standards.
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Answer:

16 servings

Step-by-step explanation:

5 cups per 10 servings = 0.5 cups per serving

1 quart = 4 cups so 2 quarts = 8 cups

8 cups / 0.5 cups per serving = 16 servings

Answer:

It's about 33 cents per ounce. The exact answer would be 0.3325

Step-by-step explanation:

Answer:

0.33

Step-by-step explanation:     i did it on a piece of paper

Answer:  List of prime numbers before 39: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37.

Step-by-step explanation:

Answer:

la numerencia es

Step-by-step explanation:

39 1 5 68

The angle between vectors u and v is approximately 43.7 degrees to the nearest tenth of a degree.

To find the angle between two vectors, we can use the dot product formula and the magnitude of the vectors. The dot product of two vectors u and v is given by:

u · v = |u| |v| cos(theta)

where |u| and |v| are the magnitudes of vectors u and v, respectively, and theta is the angle between the vectors.

Given vectors u = <6, 4> and v = <7, 5>, we can calculate their magnitudes as follows:

|u| = sqrt(6^2 + 4^2) = sqrt(36 + 16) = sqrt(52) ≈ 7.21

|v| = sqrt(7^2 + 5^2) = sqrt(49 + 25) = sqrt(74) ≈ 8.60

Next, we calculate the dot product of u and v:

u · v = (6)(7) + (4)(5) = 42 + 20 = 62

Now, we can substitute the values into the dot product formula:

62 = (7.21)(8.60) cos(theta)

Solving for cos(theta), we have:

cos(theta) = 62 / (7.21)(8.60) ≈ 1.061

To find theta, we take the inverse cosine (arccos) of 1.061:

theta ≈ arccos(1.061) ≈ 43.7 degrees

Therefore, the angle between vectors u and v is approximately 43.7 degrees to the nearest tenth of a degree.

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