27. evaluate yyye xex 21y21z2 dv, where e is the portion of the unit ball x 2 1 y 2 1 z 2 < 1 that lies in the first octant.

Answer:bb

Step-by-step explanation:

The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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if you used 3.2, you have 6.8 yards to use. And if 6.8 costs 18.7 we have that

the costs per yard or the ribbon is $2.75

Answer:  \(\ln\left(\frac{a^2}{y^4}\right)\)

============================================================

Explanation:

I'll be using these log rules

which I'll refer to as "rule 1" and "rule 2" respectively. There are other log rules, but we only need to use these two for this particular question.

Here's how the steps could be laid out:

\(2\ln\left(a\right)-4\ln\left(y\right)\\\\\ln\left(a^2\right)-\ln\left(y^4\right) \ \text{ ... use rule 1}\\\\\ln\left(\frac{a^2}{y^4}\right) \ \text{ ... use rule 2}\\\\\)

Side note: The first letter of "ln" is a lowercase L, and not an uppercase i

Answer: Mean - 93.8571428571, round however you need to

Median - 75

Mode - 65

Range - 205

Step-by-step explanation: Order the numbers first. 45,65,65,75,77,80,250.

Find the mean. 45 + 65 + 65 + 75 + 77 + 80 + 250 is 657. Divide by 7 is 93.8571428571.

Median is middle. It is 75.

Mode is the most common. - 65

Range is the highest subtracted by the lowest. 250 - 45 is 205.

Distance = √(17) Because 1 + 16 = 17

The value of n(AUB) i.e. union of A and B is 53.

What are Intersections and Unions in Probablity?

The union of two sets results in a new set that contains all of the items from both sets. The union is abbreviated as A∪B or "A or B." The intersection of two sets yields a new set containing all of the members from both sets. The junction is denoted by the letters A∩B or "A and B."

Solution:

Given that,

n(A) = 14

n(B) = 51

n(A∩B) = 12

We know that thee formula is n(AUB) = n(A) + n(B) - n(A∩B)

Putting the values,

n(AUB) = 14 + 51 - 12 = 53

So, the answer for the value of n(AUB) = 53

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Answer:

18×2y46×7y2=36×y4,332×y2

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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To solve the pair of equations graphically: A. find the point of intersection of the two lines, y = -3x + 5 has a slope of -3, and y-intercept of 5, and y = x + 2 has a slope of 1, and y-intercept of 2.

To solve for the pair of equations graphically, you have to plot each of the line of each equation on a coordinate plane, then find the coordinates of the point where both lines intersect each other.

The point of intersection is the solution to the system of equations that both lines represent.

Given the equations:

y = -3x + 5 --> eqn. 1

y = x + 2 --> eqn. 2

The slope of the line of y = -3x + 5 is -3, while the y-intercept is 5.

The slope of the line of y = x + 2 is 1, while the y-intercept is 2.

Thus, the red line in the image is the graph of y = -3x + 5, while the blue is for y = x + 2.

The point of intersection, which is the solution is: (075, 2.75).

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Answer:

4 + 7 = 11

4 + 7(3) = 25

4 + 21 = 25

first number is 4, second is 7

I hope this helped!

Step-by-step explanation:

Answer:

The value that best approximates the radius of the circle is 13.43 inches.

The arc length of a circle is given by the formula L = rθ where L is the length of the arc, r is the radius of the circle, and θ is the central angle in radians.

Since we are given that the central angle measures 64° and that the arc intercepted by this central angle measures 15 inches, we can convert 64° to radians by multiplying it by π/180.

Therefore, θ = (64π)/180.

We can then solve for r using L = rθ and substituting L = 15 inches and θ = (64π)/180. This gives us r ≈ 13.43 inches.

Therefore, 13.43 in best approximates the radius of the circle.

1.25 is the probability that the aircraft Will last 100 hours.

The area of mathematics described as probability concerns with numerical representations of the likelihood that an event will occur or that an assertion is correct. An event's probability is a number between 0 and 1, where, roughly speaking, 0 indicates the event's impossibility and 1 represents certainty. 

Given Data

Mean = 80

Standard deviation = 16

P( x < 100)

P( x < 100) = P( Z< \(\frac{x- mean}{standard deviation}\))

P(x<100 ) = P( Z < \(\frac{100-80}{16}\))

P(x< 100) = P(Z< \(\frac{20}{16}\))

P(x < 100) = 1.25

1.25 is the probability that the aircraft Will last 100 hours.

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While one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

In a race between two runners, one of them had a personal best time, while the other runner neither trained nor had a personal best time.

The runner who had a personal best time implies that they had trained and put in effort to improve their performance. A personal best time suggests that they have achieved their highest level of performance in a race. This indicates that the runner has dedicated time and effort to their training regimen, focusing on improving their speed and endurance.

On the other hand, the runner who neither trained nor had a personal best time implies that they did not invest effort in training or actively seek to improve their performance. They may have participated in the race casually or without specific training goals in mind. As a result, they did not achieve a personal best time, indicating that they did not put in the necessary effort to reach their full potential.

In summary, while one runner demonstrated dedication and improvement through a personal best time, the other runner's lack of training and absence of a personal best time suggest a more casual or unprepared approach to the race.

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To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.

Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.

To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.

If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.

By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.

Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.

The time taken to reach her destination while travelling at her initial speed is 2 hours.

To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.

Therefore, the percentage increase in speed

= (30/120) x 100

= 25%.

Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.

To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.

Therefore, the correct answer is 200%.

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Answer: C

Step-by-step explanation:

The angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

Given sinz = -4/5 for pi < z < (3pi)/2, we need to find the value of cosz. We can use the trigonometric identity of Pythagorean theorem to find the value of cosz.

According to Pythagorean theorem, sin2θ + cos2θ = 1, where θ is the angle in the right-angled triangle and sin, cos are the trigonometric ratios.

The negative sign for the given sinz indicates that the angle z is in the third quadrant. So, we can take the help of the unit circle to find the value of cosz as shown below:

Here, we have used the Pythagorean identity of sin2z + cos2z = 1 on the unit circle to find the value of cosz. Since the value of sinz is already given, we can find the value of sin2z as: sin2z = sinz x sinz = (-4/5) x (-4/5) = 16/25

Then, we can substitute the value of sin2z in the Pythagorean identity as: cos2z = 1 - sin2z = 1 - (16/25) = 9/25We need to find the value of cosz.

So, we can take the square root of cos2z as: cosz = ±(√(9/25)) = ±(3/5)The sign of cosz can be determined by considering the quadrant of the angle z.

Since the angle z is in the third quadrant, the value of cosz is negative. Hence, cosz = -3/5.So, the value of cosz is -3/5.

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Answer:

root word

Step-by-step explanation:

root at ddaaaty2ruuwrjo72rki3wf64

The simplified form of the given expression is 8x+7

From the question, we are to write the simplified form of the given expression

The given expression is

3x+4+5x+3​

3x+5x+4+3

8x+7

Hence, the simplified form of the expression is 8x+7

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The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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Answer:

(-1,-2)

because the inverse of (-4,-2) is (-2,-4) so when we simplify both number or when we divide by both numbers by 2 we get (-1,-2)

so the inverse of f(x) _ (-4,-2) is (-1,-2)

answer of this question will be 6

Answer:

Step-by-step explanation:

Let's create an equation:

\(5y = 135\)

( Being vertically opposite angles)

Now, let's solve

Divide both sides of the equation by 5

\( \frac{5y}{5} = \frac{135}{5} \)

Calculate

\( y = 27\)

Hope this helps...

Best regards!!

The function has a vertical asymptote at x = -6 and a hole at x = -5.

To find the points of discontinuity, we need to look for values of x that make the denominator of the fraction equal to zero. We can factor the denominator of the rational function as follows:

x² + 11x + 30 = (x + 6)(x + 5)

So the function is undefined for x = -6 and x = -5, since these values make the denominator equal to zero.

These are the points of discontinuity for the rational function.

At x = -6, the function has a vertical asymptote. To see this, we can examine the behavior of the function as x approaches -6 from the left and right:

As x approaches -6 from the left (i.e., x < -6), the denominator becomes a large negative number, while the numerator is a small negative number. So the fraction becomes a large negative number. As x approaches -6 from the right (i.e., x > -6), the denominator becomes a large positive number, while the numerator is a small positive number. So the fraction becomes a large positive number. Therefore, the function has a vertical asymptote at x = -6.

At x = -5, the function has a hole.

To see this, we can factor out the common factor (x + 6) from the numerator and denominator of the fraction:

y = (x + 6)/(x + 6)(x + 5) = 1/(x + 5)

So the function is undefined at x = -5, but we can see that the numerator and denominator have a common factor of (x + 5), which cancels out. Therefore, the function has a hole at x = -5, and can be defined at this point by the limit as x approaches -5:

lim (x -> -5) y = lim (x -> -5) 1/(x + 5) = -∞

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Answer:

6.999999999993e+20

Step-by-step explanation:

Answer:

#8 might be y= -3x + 5

Step-by-step explanation:

This may help