Why did semyen dezhnev and the evenki fight each other?

An ellipse is a conic section.

The equation of an ellipse with center (h,k) and major axis a and minor axis b is

(x - h)²/a² + (y - k)²/b² = 1

Given the ellipse (x - 6)²/64 + (y + 3)²/25 = 1 writing it in standard form, we have

(x - 6)²/8² + (y + 3)²/5² = 1

So, we have the center of the ellipse at (6, - 3) and the endpoints major axis are 5 units form the center and the endpoints of the minor axis are 8 units form the center.

Find the graph of the ellipse on the attachment

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Answer:

\( \sqrt{ {1}^{2} + {2}^{2} + {( - 2)}^{2} } = \sqrt{1 + 4 + 4} = \sqrt{9} = 3\)

(1, 2, -2) is 3 units away from the origin.

(0, 0, 5) is 5 units away from the origin.

So (0, 0, 5) is farther away from the origin.

The total amount of money molly will pay for the skirt after the total discount is $14.5

Original price of the skirt = $29

Percentage discount = 30%

Additional percentage discount = 20%

Total percentage discount = 30% + 20%

= 50%

Total amount molly paid for the skirt not counting the sales tax = $29 - (50% of $29)

= 29 - (0.50 × 29)

= 29 - 14.5

= $14.5

Hence, Molly will pay a total of $14.5 after deducting the discount.

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If d represents how many dozens of eggs were ordered, then the expression that represents the number of eggs that were ordered is 12d. Therefore, if we order d dozen of eggs, we will have 12 * d eggs.

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Answer:

3 3/8 meters.

Step-by-step explanation:

4 1/2 * 3/4

= 9/2 * 3/4

= 27/8

= 3 3/8 meters.

Answer: She painted 3.375 meters before lunch.

Step-by-step explanation:  

4.5x.75=3.375

This PDE does not have a general solution. However, we can express the solution u(x, y) in terms of q(y) and g(y) as follows u(x, y) = ∫(4/q) dx + g(y)

To find a complete integral of pq = 4, we first need to express the equation in terms of one variable. We can do this by solving for one of the variables in terms of the other:

pq = 4

p = 4/q

Now we can use integration to find the complete integral:

∫(1/p) dp = ∫(q/4) dq

= (1/2)q^2 + C

where C is the constant of integration.

To get the complete integral, we need to solve for p:

|p| = e^(1/2q^2+C)

Since e^C is just a constant, we can write:

|p| = ke^(1/2q^2)

where k is a constant. To include the possibility of negative values of p, we can write:

p = ±ke^(1/2q^2)

This is the complete integral of pq = 4.
To find a complete integral of the given equation pq = 4, we need to solve this first-order partial differential equation (PDE). Here, p = ∂u/∂x and q = ∂u/∂y.

1. Integrate p with respect to x:
∫p dx = ∫(∂u/∂x) dx
u(x, y) = ∫(4/q) dx + g(y)

2. Differentiate u(x, y) with respect to y:
∂u/∂y = -4/q^2 (∂q/∂y) + g'(y)

Since q = ∂u/∂y, we can rewrite the equation as:
q = -4/q^2 (∂q/∂y) + g'(y)

3. Solve for q:
q^3 + 4(∂q/∂y) = g'(y)

This PDE does not have a general solution. However, we can express the solution u(x, y) in terms of q(y) and g(y) as follows:
u(x, y) = ∫(4/q) dx + g(y)

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Answer:

x = 2.5

Step-by-step explanation:

Answer:

\(\boxed{\boxed{\tt x=5}}\)

Step-by-step explanation:

\(\tt \cfrac{3x+4}{2}=9.5\)

Multiply both sides by 2:-

\(\tt \cfrac{2\left(3x+4\right)}{2}=9.5\times\:2\)

\(\tt 3x+4=19\)

Subtract 4 from both sides:-

\(\tt 3x=15\)

Divide both sides by 3:-

\(\tt \cfrac{3x}{3}=\cfrac{15}{3}\)

\(\tt x=5\)

__

Hope this helps you!

Have a nice day!

Step-by-step explanation:

= -6m+b

2= -2m+b

2= -4m

m= -0.5 = -1/2

4= -6m+b

b= 4+6(-0.5)= 4-3=1

y=mx+b

y= -1/2 x + 1

Answer:

f(-6) = 72

Step-by-step explanation:

We are given the function f(x)=2x², and want to find the value of f(-6).

Finding f(-6) means that we want to evaluate the function for when x is equal to -6. In other words, we need to substitute -6 as x (in 2x^2).

So, substitute -6 as x.

 f(-6)=2(-6)²

Now, we must follow the order of operations here (PEMDAS, or any other similar abbreviation, depending on your location), meaning that we should take care of the exponent first.

So, raise -6 to the 2nd power (ignore the 2 in front of (-6)² for now).

f(-6)=2(-6)² = -6 * -6 = 36

Now multiply 36 by 2.

f(6) = 2 * 36 = 72

That means f(-6) = 72.

It looks like the limit is

\(\displaystyle \lim_{x\to3} \frac{x^2 + x - 12}{x^2 - 3x}\)

Factorize the numerator and denominator to reveal a removable discontinuity and evaluate the limit.

\(\displaystyle \lim_{x\to3} \frac{x^2 + x - 12}{x^2 - 3x} = \lim_{x\to3} \frac{(x + 4) (x - 3)}{x (x - 3)} = \lim_{x\to3} \frac{x+4}x = \frac{3+4}3 = \boxed{\frac73}\)

Answer:

Its PS equals QR: A

Step-by-step explanation:

The Lorenz attractor is a set of chaotic solutions of the Lorenz system. This means that even if we start with two very similar initial conditions, the trajectories will quickly diverge and become very different.

The Lorenz system is a system of three ordinary differential equations that describe the behavior of a fluid. The equations are:

dx/dt = σ(y - x)

dy/dt = -xz + r(x + b)

dz/dt = xy - bz

where σ, r, and b are parameters.

The Lorenz attractor is a set of solutions to the Lorenz system that are chaotic. This means that even if we start with two very similar initial conditions, the trajectories will quickly diverge and become very different. However, they will eventually converge to the Lorenz attractor.

Here are two trajectories (two initial values) that start close and then separate considerably to finally join in the Lorenz attractor:

x(0) = 1.0, y(0) = 1.1, z(0) = 1.2

x(0) = 1.001, y(0) = 1.101, z(0) = 1.201

As you can see, the two trajectories start close together, but they quickly diverge and become very different. However, they eventually converge to the Lorenz attractor.

The Lorenz attractor is a powerful example of chaotic behavior. It shows that even in simple systems, it is possible for trajectories to exhibit chaotic behavior. This has important implications for many areas of science and engineering, such as weather prediction and climate modeling.

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Given:

Number of  blue marbles, twice as many red marbles as blue, and 8 yellow marbles.

She has a total of 32 marbles.

To find:

The number of red marbles.

Solution:

Let number of blue marbles be x.

Then, number of red marbles = 2x

Number of yellow marbles = 8

Total number of marbles = 32

\(x+2x+8=32\)

\(3x=32-8\)

\(3x=24\)

\(x=8\)

Now,

Number of red marbles \(=2(8)=16\)

Therefore, there are 16 red marbles.

Answer:

Number line 4

Step-by-step explanation:

−9x −12 ≤ 42

-9x-12+12≤42+12

-9x≤54

-9x/-9≤54/-9

x≤-6

Number line 4 will represent the solution set of given inequality

−9x −12 ≤ 42.

When two numbers or algebraic expressions are in opposition to one another, this is known as an inequality. It can be expressed as greater than, greater than or equal to, less than, or less than or equal to.

Given:

−9x −12 ≤ 42

-9x-12+12≤42+12

-9x ≤ 54

-9x/-9 ≤ 54/-9

x ≤ -6

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Answer:

7 feet 6 inches

Step-by-step explanation:

5 yards = 15 feet

15 feet = 180 inches

180/2 = 90 inches

90 = 7.5 feet

Or 7 feet and 6 inches

The dimensions of a rectangle with the largest area that can be drawn inside a circle with a radius of 5 are L = 5.77 and W = 8.16.

The diameter of the circle is twice the radius, so it is 2 × 5 = 10.

Let's assume that the length of the rectangle is L and the width is W.

Since the diagonal of the rectangle is equal to 10, we can use the Pythagorean theorem to express the relationship between the length, width, and diagonal

L² + W² = 10²

L² + W² = 100

To find the dimensions that maximize the area of the rectangle, we need to maximize the product L × W. One way to do this is to find the maximum value for L² × W².

W² = 100 - L²

Substituting this into the area formula, A = L × W, we have

A = L × (100 - L²)

To find the maximum area, we can take the derivative of A concerning L, set it equal to zero, and solve for L

dA/dL = 100 - 3L² = 0

3L² = 100

L² = 100/3

L = √(100/3)

Substituting this value of L back into the equation for W^2, we have

W² = 100 - (100/3)

W² = 200/3

W = √(200/3)

Therefore, the dimensions of the rectangle with the largest area that can be inscribed inside a circle with a radius of 5 are approximately L = 5.77 and W = 8.16.

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Answer:

2πr

Step-by-step explanation:

to find the circumference you must multiply the radius by pi and 2

Answer:

it is 3 pi

Step-by-step explanation:

This limit is less than 1 if and only if |x-1| < 1/6, so the interval of convergence is: (1-1/6, 1+1/6) = (5/6, 7/6)

The Taylor series for f(x) = -14/x centered at x=1 is:

\(f(x) = f(1) + f'(1)(x-1) + f''(1)(x-1)^2/2! + f'''(1)(x-1)^3/3! + ...\)

Taking the derivatives of f(x), we have:

f(x) = -14/x

\(f'(x) = 14/x^2\)

\(f''(x) = -28/x^3\)

\(f'''(x) = 84/x^4\)

Evaluating these at x=1, we get:

f(1) = -14

f'(1) = 14

f''(1) = -28

f'''(1) = 84

Substituting these values into the Taylor series, we get:

\(f(x) = -14 + 14(x-1) - 28(x-1)^2/2! + 84(x-1)^3/3! - ...\)

To determine the interval of convergence, we can use the ratio test:

\(lim_{n- > inf} |a_{n+1}(x-1)/(a_n(x-1))| = lim_{n- > inf} |(84/(n+1))/(14/n)| |x-1| = |6(x-1)|.\)

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The interval of convergence for the Taylor series of f(x) = -14/x at x = 1 is (0, 2) in interval notation.

To determine the interval of convergence for the Taylor series of f(x) = -14/x at x = 1, we first find the Taylor series representation. Since f(x) is a rational function, we can rewrite it as f(x) = -14(1/x) and then use the geometric series formula:

f(x) = -14Σ((-1)^n * (x - 1)^n), where Σ is the summation symbol and n runs from 0 to infinity.

To find the interval of convergence, we use the ratio test. The ratio test involves taking the limit as n approaches infinity of the absolute value of the ratio of consecutive terms:

lim (n→∞) |((-1)^(n+1)(x - 1)^(n+1))/((-1)^n(x - 1)^n)|

Simplify the expression:

lim (n→∞) |(x - 1)|

For convergence, this limit must be less than 1:

|(x - 1)| < 1

This inequality gives us the interval of convergence:

-1 < (x - 1) < 1

Add 1 to each part:

0 < x < 2

So, the interval of convergence for the Taylor series of f(x) = -14/x at x = 1 is (0, 2) in interval notation.

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The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

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Answer:

Step-by-step explanation:

Explain/define:

CIRCUMFERENCE: THE DISTANCE AROUND A CIRCLE.

DIAMETER: THE LENGTH OF A STRAIGHT LINE THROUGH THE CENTER OF A CIRCLE.

Mathematics: Formula

\(d=c/3.14\)

\(d-diameter\)

\(c-circumference\)

Mathematics: Solve

To find the length of the diameter from the circumference, divide the circumference by pi. The quotient is the diameter.

3.14 is often used for pi.

\(39.25/3.14=12.5.\)

Conclude:

Therefore, the length of the diameter of the circle is 12.5 millimeters (mm).

Answer:

Step-by-step explanation:

thats the link for the diagram

Answer:

The nucleus of a titanium atom has 22 protons and 26 neutrons

If you search online for 'Bohr's diagram for titanium' it might help.

__

It will become Ti ^4+

Bohr diagrams indicate how many electrons fill each principal shell. This means that they can achieve a stable configuration and a filled outer shell by donating or losing an electron. As a result of losing a negatively-charged electron, they become positively-charged ions.

We discovered that the number is \(-8\) by solving the \(32/(14-6)+9-7*3\) above equation.

Finding a slope between two points along a line and then solving again for y-intercept inside the slope-intercept formula \(y=mx+b\) allow us to build an equation for the that line. The line passing between the coordinates \((-1,6)\) and is represented by an equation in this example \((5,-4)\).

\(Ax+By=C\) is the usual form for two-variable linear equations. A typical form linear equation is, for instance, \(2x+3y=5\). When a solution is provided in this format, finding both intercepts is rather simple (x and y).

\(32/(14-6)+9-7*3\)

\(= 32/ 8 + 9 - 21\)

\(= 4 +9 -21\)

\(= 13 - 21\)

\(=-8\)

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The complete and the correct form of question is:

\(32/(14-6)+9-7*3\) solve the given equation?

Please see the attached picture for full solution....

Hope it helps...

Good luck on your assignment...

Answer:

Step-by-step explanation:

Mrs. Smith is making homemade silly putty for the children in her class. Here is how the ingredients are mixed:

15 of the mixture is starch

12 of the mixture is glue

15 of the mixture is water

110 of the mixture is borax

When the ingredients are mixed in the same ratio as shown above, every batch of silly putty will be the same consistency.

Study the measurements for each batch in the table. Fill in the blanks so that every batch will have the same consistency.

Mrs. Smith wants to mix a 15-cup batch of the mixture for Mr. Brown's class. How many cups of each ingredient should she use in the mixture?

I also need help

The net amount of imports is RM 175 million of GDP of Country A. Option  C is the correct answer.

The total amount of money spent during a specific time period by firms, consumers, and the government may be used to compute GDP.

Calculation:

GDP = personal consumption + gross investment + govt consumption + net exports + imports

Therefore, Import = 175

Here the total amount of imports is RM 175 million. Therefore, Option  C is the correct answer.

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The complete question is, "The information below contains information on Country A.

                                                  RM(in millions)

Gross Domestic Product              1250

Consumer Spending                    500

Investment Spending                   350

Govt Spending                              350

Export                                             225

What is the amount of imports?

A. RM 800 million

B. RM 135 million

C. RM 175 million

D. RM 575 million"

Answer:

-1

Step-by-step explanation:

parallel lines always have the same slope

The logarithmic form is written as logₐ(X)=b. It is a rearrangement of the exponential form, aᵇ=X.

What is Logarithmic Form?

The logarithmic form is written as logₐ(X)=b. It is generally the rearrangement of the exponential form, aᵇ=X. Any exponential equation can be written as a logarithm. The logarithmic form is mostly used to calculate an exponent of an equation. The logₐ(X)=b. is read as “log base a of X equals b“.

The logarithmic form is simply a rearrangement of an equation written in exponential form. The same numbers are used but they are written in a different order. The word log is written which implies that the logarithm function is being used.

Therefore, If the logarithmic form is logₐ(X)=b. then it is a rearranged as the exponential form as aᵇ=X.

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:According to the question:You are working with a population of crickets. Before the mating season you check to make sure that the population is in Hardy-Weinberg equilibrium, and you find that the population is in equilibrium.

During the mating season you observe that individuals in the population will only mate with others of the same genotype (for example Dd individuals will only mate with Dd individuals). There are only two alleles at this locus ( D is dominant, d is recessive), and you have determined the frequency of the D allele =0.6 in this population. Selection acts against homozygous dominant individuals and their survivorship per generation is 80%. After one generation the frequency of DD individuals will decrease in the population.

According to the Hardy-Weinberg equilibrium equation p² + 2pq + q² = 1, the frequency of D (p) and d (q) alleles are:p + q = 1Thus, the frequency of q is 0.4. Here are the calculations for the Hardy-Weinberg equilibrium:p² + 2pq + q² = 1(0.6)² + 2(0.6)(0.4) + (0.4)² = 1After simplifying, it becomes:0.36 + 0.48 + 0.16 = 1This means that the population is in Hardy-Weinberg equilibrium. This is confirmed as the frequencies of DD, Dd, and dd genotypes

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