Use cylindrical coordinates to calculate : SSS x2 + y2 DV ? W: x2 + y2 < 81, 0525 12 SSSW(x2 + y²) DV = 1 -

Answer: 0.10175

Step-by-step explanation:

First, bring the decimal points to the right for both numbers, to be a total of 5 decimal points to the right. Then, with the numbers 25 and 407, multiply them, and we get 10175. Then, we must bring the 5 decimal points back, and we end up with 0.10175.

Answer: 0.10

Step-by-step explanation:

on time4llearning

The answer is 5 (x - y + 2z) (x- y - 2z)

A polynomial or integer is simply resolved into factors that, when multiplied together, produce the original or initial polynomial or integer. The factorization method allows us to simplify any algebraic or quadratic equation by representing the equations as the product of factors rather than by expanding the brackets. Any equation can have an integer, a variable, or the algebraic expression itself as a factor.

The algebraic expressions can be factored using one of four techniques.

Now, solving the following question,

= 5 [ \(x^{2}\) - 2xy + \(y^{2}\) ] - 4\(z^{2}\)

= 5 [ \((x-y)^{2}\) - \(2z^{2}\)

= 5 (x - y + 2z) (x - y - 2z)

Therefore, the factors are 5 (x - y + 2z) (x - y - 2z)

The following question is incomplete. The correct question is:

Factorize the given equation.

5\(x^{2}\) - 10xy + 5\(y^{2}\) -     \(20z^{2}\)

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twice m is 2m, increased by 2 is + 2, equals 7 more than m is m + 7. So C is your correct answer.

Answer:

C

Step-by-step explanation:

twice m increased by 2, is basically 2m + 2.  Seven more than m translate to m+7. Hope that helps.

The common difference of the arithmetic sequence is d = 3.

What is an Arithmetic sequence?

An arithmetic progression, also referred to as an arithmetic sequence, is a set of numbers where each term following the first is derived by adding a fixed constant number to the term before it.

To solve this problem, we can use the formula for the nth term of an arithmetic sequence. The formula is as follows:

an = a1 + (n - 1)d

Where an is the sequence's nth term, a1 is the first term, d is a common difference, and n is the number of terms we want to discover:

We know that a1 = 10 and a4 = 19. By entering these numbers into the formula, we obtain:

          a4 = a1 + (4 - 1)d

          19 = 10 + 3d

In order to find d, we can divide by 3 after subtracting 10 from both sides:

          9 = 3d

          d = 3

Therefore, the common difference of the arithmetic sequence is d = 3.

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12                     Step-by-step explanation:cause 6x2 = 12

Answer: change the number 0 to 2.   the correct answer is 792 and 780.

Step-by-step explanation:

Answer:

1) 252     2) 3

Step-by-step explanation:

1)    6 * 42 = 252

2) 27 ÷ 9 = 3

Given:

The image of a lens crosses the x-axis at –2 and 3.

The point (–1, 2) is also on the parabola.

To find:

The equation that can be used to model the image of the lens.

Solution:

If the graph of polynomial intersect the x-axis at c, then (x-c) is a factor of the polynomial.

It is given that the image of a lens crosses the x-axis at –2 and 3. It means (x+2) and (x-3) are factors of the function.

So, the equation of the parabola is:

\(y=k(x+2)(x-3)\)          ...(i)

Where, k is a constant.

It is given that the point (–1, 2) is also on the parabola. It means the equation of the parabola must be satisfy by the point (-1,2).

Putting \(x=-1, y=2\) in (i), we get

\(2=k(-1+2)(-1-3)\)

\(2=k(1)(-4)\)

\(2=-4k\)

Divide both sides by -4.

\(\dfrac{2}{-4}=k\)

\(-\dfrac{1}{2}=k\)

Putting \(k=-\dfrac{1}{2}\) in (i), we get

\(y=-\dfrac{1}{2}(x+2)(x-3)\)

Therefore, the required equation of the parabola is \(y=-\dfrac{1}{2}(x+2)(x-3)\).

Note: All options are incorrect.

The ordered pair of the equation is (1, - 1) or (3, 3).

The ordered pair of the equation is calculated by choosing a value of x and substituting it into the original equation and solving for the value of y as shown below.

The given equation is;

2x - y = 3

let x = 1

Now substitute the value of x into the original equation and solve for y as follows;

2x - y = 3

2 (1) - y = 3

2 - y = 3

y = 2 - 3

y = -1

We can also choose another value of x, say 3;

2(3) - y = 3

6 - y = 3

y = 3

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Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

edu 2021

Answer:

  = 2^(3·1/4·1/2) = 2^(3/8)

Step-by-step explanation:

You want to simplify ...

  \(\sqrt{\sqrt[4]{8}}\)

The useful rules of exponents are ...

  \(\sqrt[n]{a}=a^{\frac{1}{n}}\\\\(a^b)^c=a^{bc}\)

Recognizing 8 = 2³, you can use fractional exponents to represent the roots, then simplify the exponent of the result.

  \(\sqrt{\sqrt[4]{8}} = ((2^3)^{\frac{1}{4}})^{\frac{1}{2}}=2^{3\cdot\frac{1}{4}\cdot\frac{1}{2}}=2^{\frac{3}{4\cdot2}}=\boxed{2^{\frac{3}{8}}}\)

__

Additional comment

In plain text, this is written 2^(3/8). Both the caret and the parentheses are required.

Answer: 8 > u > 6. I hope it helps!

The graph of y = -2x² + 10x - 7 is a downward-opening parabola. It has an axis of symmetry at x = 2.5, a vertex at (2.5, -12.75), a y-intercept at (0, -7), and x-intercepts at approximately (0.43, 0) and (4.57, 0).

To graph the quadratic function y = -2x² + 10x - 7, we can start by identifying the coefficients of the quadratic terms. The coefficient of the x² term is -2, indicating a downward-opening parabola.

The axis of symmetry can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic terms. In this case, a = -2 and b = 10. Plugging the values into the formula, we get x = -10 / (2*(-2)) = 2.5. Therefore, the axis of symmetry is x = 2.5.

To find the vertex, we substitute the x-value of the axis of symmetry into the original equation. By evaluating y at x = 2.5, we get y = -2(2.5)² + 10(2.5) - 7 = -12.75. Thus, the vertex is located at (2.5, -12.75).

The y-intercept is found by setting x = 0 in the equation. Substituting x = 0, we get y = -7. Hence, the y-intercept is at (0, -7).

To find the x-intercepts, we set y = 0 in the equation and solve for x. Using the quadratic formula, we get x = (10 ± √(10² - 4×(-2)(-7))) / (2(-2)). Simplifying the expression, we obtain x ≈ 0.43 and x ≈ 4.57. Therefore, the x-intercepts are approximately (0.43, 0) and (4.57, 0).

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Answer:

The inequality represented by the graph is y >  \(\frac{1}{2}\) x + 2

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

The rule of the slope is m = \(\frac{y2-y1}{x2-x1}\) , where

From the given figure

∵ The line passes through points (0, 2) and (2, 3)

∴ x1 = 0 and y1 = 2

∴ x2 = 2 and y2 = 3

→ Substitute them in the rule of the slope above

∵ m = \(\frac{3-2}{2-0}\) = \(\frac{1}{2}\)

∴ m =  \(\frac{1}{2}\)

→ b is the value of y at x = 0

∵ At x = 0, y =2

∴ b = 2

→ Substitute the value of m and b in the form of the equation above

∵ y =  \(\frac{1}{2}\) x + 2

∴ The equation of the line is y =  \(\frac{1}{2}\) x + 2

∵ The line is dashed

∵ The shaded area is over the line

∴ The sign of inequality is >

→ Replace = in the equation by >

∴ y >  \(\frac{1}{2}\) x + 2

∴ The inequality represented by the graph is y >  \(\frac{1}{2}\) x + 2

Answer:

Part A: \(\frac{3}{5}\)

Part B: \(\frac{1}{2}\)

Step-by-step explanation:

We know that Alinn flipped a coin 20 times, and that 12 of those times resulted in heads. The other 8 times resulted in tails.

Part A wants us to find the experimental probability of the coin landing on heads. Experimental probability is the probability determined based on the experiments performed.

Part B wants us to find the theoretical probability of the coin landing on heads. Theoretical probability is determined based on the number of favorable outcomes over the number of possible outcomes.

Experimental probability is determined as # of times something occurred experimentally / total number of times.  

Since 12 of the 20 times that Alinn flipped the coin resulted in heads, this means that the experimental probability of Alinn flipping heads is \(\frac{12}{20}\), which simplifies down to \(\frac{3}{5}\).

Theoretical probability, as stated above, is the number of favorable outcomes / possible outcomes.

Our favorable outcome is flipping heads, and on a coin, there are two sides that a coin can land on: heads and tails. This means that there are two possible outcomes, and only one of them is favorable.

This means that our theoretical probability is \(\frac{1}{2}\).

Answer:

y=-4x+1 is the answer to your question.

there are 120 distinguishable outcomes when rolling five distinguishable dice where no number appears more than once.

When rolling five distinguishable dice where no number appears more than once, we are essentially looking for the number of permutations of a set of five distinct objects.

The formula for permutations of n distinct objects taken r at a time is given by:

n!/(n-r)!

In this case, we have n=5 and r=5, so the formula becomes:

5!/0! = 5! = 120

Therefore, there are 120 distinguishable outcomes when rolling five distinguishable dice where no number appears more than once.

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There are 720 distinguishable outcomes when rolling five distinguishable dice where no number appears more than once.

To determine how many distinguishable outcomes there are when rolling five distinguishable dice where no number

appears more than once, we can use the concept of permutations.

Since there are 6 sides on each die and no number can appear more than once, we need to find the number of ways

to arrange 5 unique numbers out of 6. This can be represented as a permutation, specifically 6P5.

To calculate 6P5, use the formula:

6P5 = 6! / (6-5)!

where "!" represents the factorial function.

Calculating the factorials:

6! = 6 × 5 × 4 × 3 × 2 × 1 = 720

1! = 1

Now, divide the two factorials:

6P5 = 720 / 1 = 720

So, there are 720 distinguishable outcomes when rolling five distinguishable dice where no number appears more than once.

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If both the corresponding angles and sides are congruent and proportional, respectively, you can state that the triangles are similar.

To determine if two triangles are similar, you need to check if their corresponding angles are congruent and their corresponding sides are proportional.

To state if the triangles in each pair are similar, follow these steps:

1. Identify the corresponding angles: Compare the angles of one triangle to the angles of the other triangle. If all the corresponding angles are congruent, then the triangles are similar.

2. Check for proportional sides: Compare the lengths of the corresponding sides of the two triangles. If the ratios of the corresponding sides are equal, then the triangles are similar.

3. If both the corresponding angles and sides are congruent and proportional, respectively, you can state that the triangles are similar.

For example, consider two triangles with angles A, B, and C, and sides a, b, and c. If you find that angle A of one triangle is congruent to angle A of the other triangle, angle B is congruent to angle B, and angle C is congruent to angle C, and the ratios a/b, b/c, and a/c are all equal, then you can conclude that the two triangles are similar.

Remember, similarity is not the same as congruence. Similar triangles have the same shape but can differ in size.

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Answer:

The answer is y=7.5x and y=5.5x+10

Answer:

How did you manage to get it upside down? impressive

Step-by-step explanation:

The answer is C because the slower slope value had +10 as the y intercept also you can clearly see the orange one is going at a faster rate

Using it's concept, it is found that there is a 0.183 = 18.3% probability that the person has completed a bachelor's degree and no more.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching this problem on the internet, it is found that 529 + 1054 = 1583 out of 1911 + 6730 = 8641 people aged 40 or older have completed a bachelor's degree and no more, hence the probability is given by:

p = 1583/8641 = 0.183.

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Answer:

64

Step-by-step explanation:

6.4 * 10^1

is the same as:

6.4 * 10

= 64

The coordinate of the centroid of the given triangle will be at (-2.33,5).

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The given triangle with vertices has been drawn.

The midpoint of H( – 6, 3) and F(1, 5) will be as,

x = (-6 + 1)/2 = -2.5

y = (3 + 5)/2 = 4 so D(-2.5,4)

The coordinate of the centroid will intersect 2:1 of the median from the vertex side.

Thus by intercept formula,

x = (2 × -2.5 + 1 × -2)/(2 + 1) and y = (2 × 4 + 1 × 7)/(2 + 1)

x = -2.33 and y = 5

So the coordinate of vertices will be (-2.33,5).

Hence "The specified triangle's centroid's coordinate will be at (-2.33,5)".

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Answer:

To create groups that are as similar as possible so the main difference between the groups is the treatment

Step-by-step explanation: got it right on khan

Answer:

Answer:

x=-8

Step-by-step explanation:

3(2x-1)+7=-44

3(2x)+3(-1)+7

6x-3+7=-44

6x-3+3+7

6x+7=-41

6x+7-7

6x=-48

6x/6=48/6

x=-8

Hope it helped!

Answer:

Step-by-step explanation:

a) sum of angle on the straight line TRW is 180.

Given <TRS = 2x+10

<SRW = x-10

<TRS+<SRW = 180

2x+10+x-10 = 180

3x = 180

x = 180/3

x = 60°

<TRV = 180°-(2x+10)

Substitute x = 60° into the expression

<TRV = 180-(2(60)+10)

<TRV = 180-(120+10)

<TRV = 180-130

<TRV = 50°

2) From the diagram attached <MHJ= <LHK (oppositely directed angle)

Given

<MHJ= x+15

<LHK = 2x-20

Substitute the given data into the formula to get x

x+15= 2x-20

x-2x = -15-20

-x = -35

x = 35°

Next is to get the measure of <MHJ

<MHJ = x+15

<MHJ = 35+15

<MHJ = 50°

Answer:

a=-0.4

Step-by-step explanation:

2(4a+1)=3a

8a+2 = 3a

5a+2=0

5a=-2

a=-0.4

Answer:

a = -2/5

Step-by-step explanation:

2 (4 [-2/5] + 1) = 3 (-2/5)

2 (-8/5 + 1) = -6/5

2 (-3/5) = -6/5

-6/5 = -6/5

Answer:

The diver descends:

50 seconds x 5 feet/second = 250 feet

The diver ascends:

54 seconds x 4.4 feet/second = 237.6 feet

Therefore, the total change in elevation is:

250 feet (descent) - 237.6 feet (ascent) = 12.4 feet

So, the diver's final elevation is:

0 feet (starting elevation) - 12.4 feet (change in elevation) = -12.4 feet

Therefore, the diver ends up 12.4 feet below sea level.

Answer:

it is 1

Step-by-step explanation:

its is 1 2 3 hsvs jafsnsjhd jsusgsmsi jshsbjdg

The angle between the vectors can be found using the dot product. The formula is θ= |A| =√(x12 + y12 + z12) The angle between the vectors -2i + 3j + k and i + 2j - 4k is approximately 137.8 degrees.

v1 • v2 = (-2i + 3j + k) • (i + 2j - 4k)

= -2 - 6 + 1 = -7

|v1| = \(\sqrt{((-2)^2 + 3^2 + 1^2)}\)

=\(\sqrt{(4 + 9 + 1)}\)

=\(\sqrt{14}\)

|v2| = \(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)

= \(\sqrt{(1 + 4 + 16) }\)

= (\(\sqrt{21}\)

θ= |A| (-7/\(\sqrt{14}\)\(\sqrt{21}\))

=  |A| (-7/21*14)

=  |A|(-7/294)

= 137.8 degrees

The angle between two vectors can be found using the dot product formula. This formula isθ= |A| =√(x12 + y12 + z12). In the case of the vectors -2i + 3j + k and i + 2j - 4k, this formula can be used to find the angle between them. The dot product of the two vectors is -2 - 6 + 1 = -7. The magnitude of the first vector, |v1|, can be found using the Pythagorean theorem, which is

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

= \(\sqrt{(4 + 9 + 1)}\)

= \(\sqrt{14}\).

The magnitude of the second vector, |v2|, can be found using the Pythagorean theorem, which is

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

= \(\sqrt{(1 + 4 + 16)}\)

= \(\sqrt{21}\)

Once the dot product and magnitudes are known, the angle between the two vectors can be found using the formula .Therefore, the angle between the two vectors is approximately 137.8 degrees.

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