1. De un tubo vertical cuyo radio interior es 1 mm gotea agua. Hallar el radio de las gotas en el momento de desprenderse. Hay que considerar que las gotas son esféricas. El diámetro del cuello de la gota en el momento de desprenderse tómese igual al diámetro interior del tubo. Además, realizar el diagrama de cuerpo libre de la gota

Answer:

The GCF for the numerical part is 2

Step-by-step explanation:

6x^2y^2-8xy^2+10xy

It contains both numbers and variables, there are two steps to find the GCF(HCF).

1). Find the GCF for the numerical part 6, -8,10

2). Find the GCF for the variable part x^2,y^2,x^1,y^2,x^1,y^3

3).Multiply the values together.

Find the common factors for the numerical part:

6,-8,10

Factors of 6

6: 1,2,3,6

Factors of -8

-8: -8,-4,-2,-1,1,2,4,8

Factors of 10

10:1,2,5,10

Common factors of 6,-8, 10 are 1,2

The GCF Numerical=2

The GCF Variable= xy^2

Multiply the GCF of the numerical part 2 and the GCF of the variable part xy^2, and you'll get 2xy^2

The vertex of the graph is a maximum at (-2, 4)

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a quadratic function

From the graph, we can see that the graph has a maximum value

This maximum value represents the vertex of the graph

And it is located at (-2, 4)

So, we have

Maximum = (-2, 4)

Hence, the maximum value of the function is (-2, 4)

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9514 1404 393

Answer:

Step-by-step explanation:

The leading coefficient is positive, so you know the parabola opens upward.

The ratio -b/(2a) is -6/(2·1) = -3, so you know the axis of symmetry is x = -3. The function will be decreasing from negative infinity to the vertex at x = -3, and will be increasing from there to positive infinity. At the vertex (x=-3), the function is neither increasing nor decreasing.

_____

Additional comment

For ax^2 +bx +c, the axis of symmetry is x=-b/(2a). The vertex (turning point) is on the axis of symmetry.

The unit price of 12 gallons of gasoline that costs $39.48 is $3.29 per gallon

The given parameters are:

Gallons = 12

Cost = $39.48

The unit price is calculated as:

Unit = Cost/Gallon

So, we have:

Unit = $39.48/12

Divide

Unit = $3.29

Hence, the unit price of 12 gallons of gasoline that costs $39.48 is $3.29 per gallon

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\(cos(\frac{2\\pi }{35} )\\\)≈0.98392958...

The function of the situation would be:

therefore, the expression is:

5*f + 8

Using the Empirical Rule, the correct option regarding the skewness of the distribution is given as follows:

(A) No, the distribution is skewed to the right.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is given as follows:

In the context of this problem, the mean and the standard deviation are given as follows:

A huge percentage is within one standard deviation of the mean, and the distribution is not symmetric, hence it is not normal.

Since most values are at the lower bounds of the histogram, the distribution is right skewed and option a is correct.

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Answer:

12

Step-by-step explanation:

I am in 12th grade and make straight A;s trust me

Answer:

6x

All you need to do is multiply and add them up.

Answer:

6x

Change the negative values to 0

(0-((x+2)•(x-5)))+(x-2)•(x+5)

Simplify

(0-(x+2)•(x-5))+(x-2)•(x+5)

= 6x

Answer:  -7x3 + 13x2 + 9x - 12

Answer:

3(5x2+2x-4)-x7x2+2x-3)

15 x 6 + 6x -12 - x7 + x2 + 2x -3

90 + 6x - 12 - x7 + x2 + 2x -3

(6x + 2x) (+90 - 12 - 3) (-x7 + x2)

8x + 75 - x5

Answer:

The answer is 4.

Step-by-step explanation:

If this shape has a perimeter of 36, and the base has a length of 14, you subtract 36 - 28 because there are two sides that have a length of 14. You get 8 by subtracting 36 - 28, and divide the answer by 2.

Answer:

your answer is B

Step-by-step explanation:

because if you look at the c coordinator plane 1 is on y=1 and x=1 so if you just decrease but yet add you'll get y=2 and x+2 and you'll get B

The statement that is best supported by the data in the stem and leaf plot is D. The most common number of items sold is 15.

It should be noted that the stem and plot diagram is important to illustrate the data given.

Based on the information given, the most common number of items sold is 15.

In conclusion, the correct option is D.

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The total number of items sold by each student who participated in a fund-raiser is shown in the stem and leaf plot.

Which statement is best supported by the data in the stem and leaf plot?

The number of students who sold between 10 and 20 items is greater than the number of students who sold more then 40 items.

The number of students who sold more than 30 items is greater than the number of students who sold fewer than 30 items.

The most common number of items sold is 30.

The most common number of items sold is 15.

Answer:

Step-by-step explanation:

D

Answer:

Step-by-step explanation:

1.

(a) GCF, and LCM of 14 and 21        

   GCF: 7  LCM: 42

(b) GCF, and LCM 15 and 25

    GCF: 5           LCM:75

Answer:

Let's use "K" to represent Kevin's current age, and "M" to represent his mother's current age.

According to the problem, if you triple Kevin's age, the result is 1 less than his mother's age:

3K = M - 1

We can simplify this equation by adding 1 to both sides:

3K + 1 = M

This equation tells us that if we add 1 to three times Kevin's age, we get his mother's age. We can use this equation to solve for Kevin's age if we know his mother's age, or we can use it to solve for his mother's age if we know Kevin's age.

Answer:

\(y=-\frac{2}{5} x+\frac{36}{5}\)

Step-by-step explanation:

→ Find the gradient

\(\frac{4-6}{8-3}= \frac{-2}{5} =-\frac{2}{5}\)

→ Write into y = mx + c format

\(y=-\frac{2}{5} x+c\)

→ Substitute in ( 3 , 6 )

\(6 = -\frac{6}{5} +c\)  ∴ \(c = 6+\frac{6}{5} =\frac{36}{5}\)

→ Rewrite into y = mx + c format

\(y=-\frac{2}{5} x+\frac{36}{5}\)

Answer:

C.) 2^10

Step-by-step explanation:

You would add the exponents which in this case are 3 and 7 getting 10 as your exponent.

Answer: C)

Step-by-step explanation: If you do 2^3 x 2^7 = 1024 also 2^10 = 1024

Answer:

X=11 trust me on my mom

Answer:

B

Step-by-step explanation:

First you put all the variables with a negative exponent to the opposite side of the fraction, with the answer of 45m^2p^2v^16/15m^6p^8. You then simplify, or cancel out until the variable only remains on one side of the fraction. 3v^16/m^4p^6. So your answer is B

Integrate by parts with

\(u = f(\phi) \implies du = f'(\phi) \, d\phi = (2\phi - 1) \, d\phi\)

\(dv = d\phi \implies v = \phi\)

to evaluate the integral in the definition of \(f\).

\(\displaystyle \int_0^1 f(\phi) \, d\phi = \phi\,f(\phi) \bigg|_0^1 - \int_0^1 \phi(2\phi-1) \, d\phi = f(1) - \frac16\)

Now if \(\phi=1\), we have

\(f(1) = 1^2 - 1 - \left(f(1) - \dfrac16\right) \implies 2f(1) = \dfrac16 \implies f(1) = \dfrac1{12}\)

and so

\(\displaystyle \frac1{12} = 1^2 - 1 - \int_0^1 f(\phi) \, d\phi \implies \int_0^1 f(\phi) \, d\phi = -\frac1{12}\)

It follows that

\(\displaystyle \int_0^2 f(\phi) \, d\phi = \int_0^2 \left(\phi^2 - \phi + \frac1{12}\right) \, d\phi \\\\ ~~~~~~~~~~~~~~~ = \left(\frac{\phi^3}3 - \frac{\phi^2}2 + \frac\phi{12}\right) \bigg|_0^2 \\\\ ~~~~~~~~~~~~~~~ = \frac{2^3}3 - \frac{2^2}2 + \frac2{12} \\\\ ~~~~~~~~~~~~~~~ = \boxed{\frac56}\)

The value of angle C to the nearest tenth is 21.6°

The Cosine Rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

c² = a² + b² - 2ab cosC

8² = 14² + 19² - 2 × 14 × 19 cos C

64 = 196+ 361 - 532cosC

64 = 557 - 532 cosC

532cos C = 557 -64

532cos C =

cosC = 493/532

cos C = 0.93

C = 21.6°( nearest tenth)

Therefore the value of angle C is 21.6°

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The equivalent fractions for the mixed numbers, with the same denominator, are given as follows:

32/12 and 27/12.

The mixed numbers in the context of this problem are given as follows:

The fractions that represent each number are given as follows:

The least common factor of 3 and 4 is given as follows:

3 x 4 = 12.

Hence the equivalent fractions are given as follows:

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5x = 12 + 3

5x = 15

\(x = \frac{15}{5} \\ \)

x = 3

Answer:

3

Step-by-step explanation:

5x-3=12

5x=12+3

5x=15

x=15/5

x=3

The image of P after the rotation of 90° counterclockwise is (-1, 1)

Here we have the point P = (-1, -1), notice that both values are negative, thus, the point is on the third quadrant.

For any point (x, y) on the third quadrant, if we apply a rotation of 90° counterclockwise the new coordinates of the point (coordinates of the image) after the reflection are (y, -x)

In this case the original coordinates are (-1, -1), so the coordinates after the reflection are (-1, -(-1)) = (-1, 1)

The image after the rotation is  (-1, 1).

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The value of cos(45°) is √2/2. The correct answer choice is D. √2.

In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.

Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.

Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:

cos(45°) = x/(x√2) = 1/√2

Simplifying further, we rationalize the denominator:

cos(45°) = 1/√2 * √2/√2 = √2/2

Therefore, the value of cos(45°) is √2/2.

The correct answer choice is D. √2.

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Answer:

it's 46 if you add 46 whit 44 you get 90

hope that helps you

Answer:

46 is the answer.

Step-by-step explanation:

the equation is x+44=90

Solution.

Given that the fabric sample is in a shape of a circle

The answer is 221.558 ft^2