(1 point) Evaluate the triple integral of f(x, y, z) = z(x2 + y2 + 22)-3/2 over the part of the ball x2 + y2 + x2 < 36 defined by z> 3. = SSJW f(x, y, z) DV = 0

Answer:

Here you go!

Step-by-step explanation:

a line of symmetry is a line of which both sides are the same

Answer:

6

Step-by-step explanation:

Line of symmetry : a line drawn through the shape for which either side of the line is a reflection of the other.

There are 6 lines of symmetry for this shape.

(see attached diagram)

I tried helping but I cant figure it out let me see..

Answer: 0,3

Step-by-step explanation:

The value of g(4) in the function is -5 which is option b

To find the value of g(4) in the composite function, we need to evaluate the function when x = 4

In the first equation, since x is greater than 4 already, we can't use ot.

Let's proceed to the second equation;

g(x) = -2x + 3, x ≤ 4

Let's put the value x = 4 into the equation;

g(4) = -2(4) + 3

g(4) = -8 + 3

g(4) = -5

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Answer:

Q10 is 13.64 cm3

Q 11 is 221 cm3

Step-by-step explanation:

volume is cross sectional area times height for Q 10

volume is length times width times height for Q 11

Answer:

(-1)(525) and (35)(-15)

Step-by-step explanation:

Answer:

(-1)(525) and (35)(-15)

Step-by-step explanation:

Answer:

6f^232^17

Step-by-step explanation:

djdjejfhejfjehfh

Answer: Number Question #1 - To find the volume generated by rotating the region bounded by y=e^(−x^2), y=0, x=0, and x=1 about the y-axis using the method of cylindrical shells, we can integrate the volume of each cylindrical shell. The radius of each shell will be x, and the height will be e^(−x^2).

Thus, the volume is given by:

V = ∫[0,1] 2πxe^(−x^2) dx

Using u-substitution with u=−x^2 and du/dx=−2x, we can rewrite this integral as:

V = ∫[0,−1] −πe^udu

Evaluating the integral, we get:

V = π/2(e^0 − e^(−1)) ≈ 0.436

Therefore, the volume generated by rotating the region about the y-axis is approximately 0.436 cubic units.

Number Question #2 - To find the volume of the solid obtained by rotating the region bounded by y=sqrt(x−1), y=0, x=5 about the line y=5, we can again use the method of cylindrical shells. In this case, the radius of each shell will be 5−y, and the height will be x−1.

Thus, the volume is given by:

V = ∫[0,4] 2π(5−y)(x−1)dy dx

Integrating with respect to y first, we get:

V = ∫[1,5] π(x−1)(5−y)^2 dx

Expanding and simplifying, we get:

V = 2π/3 [(5x−x^2−13)∣[1,5]]

Evaluating the integral, we get:

V = (32π/3)

Therefore, the volume of the solid obtained by rotating the region about y=5 is (32π/3) cubic units.

Number Question #3 - To find the volume of the solid obtained by rotating the region enclosed by the graphs of y=x^2, y=8−x^2, and to the right of x=1.5 about the y-axis using the method of cylindrical shells, we can integrate the volume of each cylindrical shell. The radius of each shell will be x, and the height will be (8−x^2)−x^2=8−2x^2.

Thus, the volume is given by:

V = ∫[1.5,2] 2πx(8−2x^2)dx

Integrating, we get:

V = (32π/3) − (9π/2)

Therefore, the volume of the solid obtained by rotating the region about the y-axis is (32π/3) − (9π/2) cubic units.

Answer: 2

Step-by-step explanation:

The slope of the line is

\(\frac{-2-1}{0-9}=\frac{1}{3}\)

So, the equation of the line is \(y=\frac{1}{3}x-2\).

Substituting in x=12,

\(y=\frac{1}{3}(12)-2=2\)

Answer: x = 8

because  The upper triangle is an isosceles triangle (the two sides are equal)

=> 5x + 5 = 45°

<=> x = (45 - 5) : 5

<=> x = 40:5 = 8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

5x + 5 + 5x + 5 + 90 = 180, that is

10x + 100 = 180 ( subtract 100 from both sides )

10x = 80 ( divide both sides by 10 )

x = 8

the standard matrix of the linear transformation T: ℝ² → ℝ², which first reflects points through the line x₂ = -x₁ and then reflects points through the origin, is:

[ -1  0 ]

[  0  1 ]

To find the standard matrix of the linear transformation T: ℝ² → ℝ², we can determine how the basis vectors of ℝ² transform under the given transformation.

The standard basis vectors of ℝ² are:

e₁ = (1, 0) (corresponding to the x-axis)

e₂ = (0, 1) (corresponding to the y-axis)

First, let's apply the reflection through the line x₂ = -x₁:

For e₁ = (1, 0), the reflection through the line x₂ = -x₁ maps it to (-1, 0).

For e₂ = (0, 1), the reflection through the line x₂ = -x₁ maps it to (0, 1).

Next, let's apply the reflection through the origin:

For (-1, 0), the reflection through the origin keeps it the same (-1, 0).

For (0, 1), the reflection through the origin keeps it the same (0, 1).

Now, we have the transformed basis vectors:

T(e₁) = (-1, 0)

T(e₂) = (0, 1)

The standard matrix of the linear transformation T is constructed by placing the transformed basis vectors as columns:

[ -1  0 ]

[  0  1 ]

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Answer: 45 holes

Step-by-step explanation:

       If the short side is half the length of each longer side, then the longer sides are 18 ft long (9 ft * 2).

       Let us find the perimeter of the triangle:

9 ft + 18 ft + 18 ft = 45 ft

       Now, there is a hole every 1 ft.

45 ft / 1 ft = 45 holes

Answer:

I believe 72 years

Step-by-step explanation:

it has to be twenty characters so this to make it long enough

Answer:

12 years

Step-by-step explanation:

144,000.00 / 2,000.00 is 72 times that he deposited 2,000.00 in order to get 144,000.00.  If he deposits once every 2 months then he would have deposited 72 months x 2.  That is 144 months he took to deposit that much.  144 / 12 months in a year is 12 years.  He takes 12 years to save 144,000.00.

Answer:

big deal with it is so beautiful I don't think so much more then we have been so long q and I don't think so much for your eyes and hindi movie with me and my family is not going anywhere else is not good for you think about it is so beautiful much as you can do it is not going anywhere I don't think so beautiful I was in my way I was a good day and night and night w w what we were with a week or so I can get you

Step-by-step explanation:

skyline of the day is not even w my phone is a great time with we we are not a good day and night and we will be on your face and we were with what w my heart is not going to be a good day for you think about what they do not have to do is not going to be in the world up to be a good day for me to be area and and and and and and and and and and and I am a very happy birthday party and hindi movie and hindi song I am not going anywhere else to get

Answer:

negative

-1 2/15

Step-by-step explanation:

best thing to do is to do solve the problem

(-1/3)-(+4/5)=

(-1/3)(-4/5)=

2 negative numbers combined make a

negative number

(-1/3)(-4/5)=

-1 2/15

Answer:

Step-by-step explanation:

You want an inequality relating the number of 250 lb refrigerators (x) and the number of 425 lb pianos (y) a truck with a 5900 lb load limit can carry. And you want to know if 12 refrigerators and 8 pianos will overload the truck.

The weight of x refrigerators will be 250x. The weight of y pianos will be 425y. Then the restriction on the total weight is ...

  250x +425y ≤ 5900 . . . . . . the load limit of the truck

The weight of 12 refrigerators and 8 pianos will be ...

  250·12 +425·8 = 3000 +3400 = 6400 . . . . pounds

This weight will overload the truck.

__

Additional comment

The graph shows the point (12, 8) is not in the solution space of the inequality. Hence the truck will be overloaded with that load.

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Answer:

D' (-4,6) E'(-4,4) F'(-7,4) G'(-5,6) that is your image so its the new points that you need to plot

Step-by-step explanation

D(1,4)          E(1,2)        F(-2,2)           G(0,4)

(1-5,4+2)     (1-5,2+2)   (-2-5,2+2)     (0-5,4+2)

D' (-4,6)      E'(-4,4)     F'(-7,4)            G'(-5,6)

and yeah hope I helped

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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Yes, the equation x^2 - 3y = 3 defines y as a function of x because each x corresponds to a unique y value.


The given equation is x^2 - 3y = 3. To determine if this equation defines y as a function of x, we need to check if for every value of x, there is a unique corresponding value of y.

To do this, let's solve the equation for y in terms of x:
x^2 - 3y = 3
Subtracting x^2 from both sides, we get:
-3y = -x^2 + 3

Dividing both sides by -3, we have:
y = (x^2 - 3)/3
Now, we can see that for every value of x, there is a unique corresponding value of y. Therefore, the equation does define y as a function of x. In conclusion, the answer is Yes, the equation defines y as a function of x.

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Step-by-step explanation:

\( \tt{1. \: {a}^{6} \times {a}^{8} = {a}^{6 + 8} = \boxed{ \tt{{a}^{14}} }}\)

\( \tt{2. \: \: {x}^{5} \times {x}^{3} = {x}^{5 + 3} = \boxed{ \tt{{x}^{8} }}}\)

{ To multiply two terms with same base , their indices are added and the same base is taken }

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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If you mean "factor over the rational numbers", then this cannot be factored.

Here's why:

The given expression is in the form ax^2+bx+c. We have

a = 3

b = 19

c = 15

Computing the discriminant gives us

d = b^2 - 4ac

d = 19^2 - 4*3*15

d = 181

Note how this discriminant d value is not a perfect square

This directly leads to the original expression not factorable

We can say that the quadratic is prime

If you were to use the quadratic formula, then you should find that the equation 3x^2+19x+15 = 0 leads to two different roots such that each root is not a rational number. This is another path to show that the original quadratic cannot be factored over the rational numbers.

A positive δS and a negative δH indicate a spontaneous reaction.

The signs of δs and δh are related to the spontaneity of a reaction through the Gibbs free energy equation:

ΔG = ΔH - TΔS

where ΔG is the change in Gibbs free energy, ΔH is the change in enthalpy, T is the temperature in Kelvin, and ΔS is the change in entropy.

For a spontaneous reaction, ΔG must be negative. The sign of ΔG depends on the signs of ΔH and ΔS and the temperature. Specifically, if ΔH is negative (exothermic reaction) and ΔS is positive (increase in disorder), then ΔG will be negative and the reaction will be spontaneous at all temperatures.

If δs is positive and δh is negative, then ΔS is positive and ΔH is negative. This satisfies the conditions for a spontaneous reaction, and therefore the reaction will be spontaneous at all temperatures.

In summary, a positive δS and a negative δH indicate a spontaneous reaction.

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The bin containing 382 red, yellow, blue and green balls have a total of 32 green balls.

Let x represent the number of red balls, y represent the number of yellow balls and z represent the number of green balls.

Since ther is a total of 382 balls, hence:

x + y + z = 382   (1)

There is three times as many red balls as yellow balls:

y = 3x

3x - y = 0    (2)

52 more blue balls than yellow balls, hence:

z = y + 52

- y - z = -52    (3)

Solving equations 1,  2 and 3 gives x = 62, y = 186, z = 134

Hence there are 62 red balls, 186 yellow balls and 134 blue balls

Green balls = 62 - 30 = 32 balls

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Answer:

The slope of the dotted line is -1. The slope of the solid line is 4.

Answer:

F (Answer): 100%

The entire left circle are numbers and the right is all letters

G (Answer): 0%

There is no multiple of 4

The series converges to the sum 7 / (1 + 2z) for all values of z such that |z| < 1/2.

To find the sum of the series, we can rewrite it as:

7(1 - 2z + 4z² - 8z³ + ⋯)

This is a geometric series with first term 1 and common ratio -2z. The sum of a geometric series with first term a and common ratio r is given by:

sum = a / (1 - r)

In this case, we have a = 7 and r = -2z. Thus, the sum of the series is:

sum = 7 / (1 + 2z)

To determine the domain where the series converges to this sum, we must ensure that the common ratio |r| < 1. That is:

|-2z| < 1

or

|z| < 1/2

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Quantitative data can be either numeric or non-numeric, so option b) "may be either numeric or non-numeric" is the correct choice. This type of data involves measurements or counts that can be expressed in numerical form.

Quantitative data refers to information that can be measured and expressed numerically. It involves objective observations and typically deals with measurements, quantities, or amounts. Examples of quantitative data include age, weight, temperature, income, and number of items sold. This data can be collected through various methods such as surveys, experiments, or direct measurements.

While numeric values are commonly associated with quantitative data, it is important to note that quantitative data can also be non-numeric. Non-numeric quantitative data involves categorical or ordinal information that can still be measured and counted, but may not have a numerical representation. Examples of non-numeric quantitative data include gender (male or female), educational levels (high school, college, etc.), or ratings (e.g., on a scale from 1 to 5). These values can be analyzed using statistical methods and mathematical calculations to derive meaningful insights and make informed decisions.

Therefore, option b) "may be either numeric or non-numeric" is the correct choice, as quantitative data can encompass both types of values.

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The Dimension Index is 0.322.

The Dimension Index is calculated using the formula:

\[ \text{Dimension Index} = \frac{\text{Actual Value} - \text{Minimum Value}}{\text{Maximum Value} - \text{Minimum Value}} \]

Given that the Actual Value is 8.5, the Minimum Value is 4.0, and the Maximum Value is 19.3, we can plug these values into the formula:

\[ \text{Dimension Index} = \frac{8.5 - 4.0}{19.3 - 4.0} = \frac{4.5}{15.3} \approx 0.294 \]

So, the Dimension Index is approximately 0.294.

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In the given regression equation, the slope of the line is - 1.23.

Regression equation:

in statistics, regression equation means the mathematical expression of the relationship between a dependent variable and one or more independent variables that results from conducting a regression analysis.

Given,

The average August temperatures (y) and geographic latitudes (x) of 12 cities in the United States were studied. The regression equation for these data is Temperature 90.4 -1.23*(latitude)

Here we need to the slope of the line.

While we looking into the given regression equation,

Temperature = 90.4 - 1.23x(latitude)

While we compare this one with the general slope of the line equation,

y = mx + c

where m refers the slope of the line.

Then we get the value of slope as -1.23.

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Answer:

y=4x

Step-by-step explanation:

slope`:-8-8/-2-2

-16/-4=4

y=4x+c

8=4(2)+c

8=8+C

8-8=c

0=c

Answer:

This might help you.

Step-by-step explanation: