use spherical coordinates. evaluate x2 dv, e where e is bounded by the xz-plane and the hemispheres y = 1 − x2 − z2 and y = 16 − x2 − z2

Answer:

\(x = \frac{6 + \sqrt{ - 12} }{6} \)

and

\(x = \frac{6 - \sqrt{ - 12} }{6} \)

it's not has a Real number

Step-by-step explanation:

hope it helps you ☺️

To define a default field value in a form or a database, you can use the attribute "default". When you add the "default" attribute to a field, it will automatically assign the specified value to that field if no other value is provided by the user or system.

This can be particularly useful when designing forms or databases that require certain fields to have a value even when the user does not provide one.
For example, in a web form, you might have a "Country" field that requires users to select their country from a dropdown list. By setting a default value for this field, such as "United States," the system ensures that there is always a value associated with that field even if the user does not make a selection.
Similarly, in a database schema, you might have a "DateCreated" field that automatically assigns the current date and time as the default value. This ensures that the date and time are always recorded for each new entry, even if the user does not manually input a value.
In both cases, the "default" attribute allows you to streamline the data collection process and ensure that your forms and databases maintain consistent and complete data. Using default values can also improve the user experience by reducing the amount of input required, making it easier for users to complete forms and submit their data.

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Answer:

s is not inversely proportional to t

Step-by-step explanation:

s is not inversely proportional to t.  I had responded that they were, based on the fact that as s went up, t went down.  But the question was not simply is there an inverse relationship, but are they inversely proportional.

The term proportional means that the relationship between s and t is a constant.  That is:

                                        t = s*(1/x)

Let's rewrite that to y*x = k and then check the numbers.  See the attached spreadsheet.  If the relationship were inversel proportioanl, thaen the product of t*s would be a contant for the series.  The third set is different from the first two.  The data has an is inverse relationship, but it is NOT proportional.

Answer:

the answer is 12.88

Step-by-step explanation:

Answer:

The answer to your question is 12.88

Step-by-step explanation:

Answer: Review the picture. This is the formula.

Step-by-step explanation: Just multiply the terms and you’ll get the volume. Remember to not measure the diameter but half of that which is the radius! I hope this helps but please comment down below if you need more help!

Answer: V = (1/3)πr2h.

Step-by-step explanation:

Answer:

80 teaspoons

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Teaspoon capacity = 0.015 L

Total quantity = 1.2L

So, we can calculate the number of teaspoons in 1.2L oil by using following formula,

Number of teaspoons = Total quantity ÷ Teaspoon capacity

By putting the value of following, we get

Number of teaspoons = 1.2 ÷ 0.015

= 80 teaspoons

Hence, there are 80 teaspoons of oil in 1.2L.

Answer: 29.5735 is 1 ounces in ml

There is 0.0338 ounces in 1 ml (Using Units).

What are units?

Units are the tools to measure and compare different things. Comparison becomes easy when all the units for the measurement are the same.  Different units can be classified depending on their use.

There are two type of units

1. Fundamental Units: Fundamental units are all those units that do not depend on any other unit (including themselves). These units cannot be further reduced to the elementary level. In fact, these are elementary units. Only seven fundamental units exist in Metric System or SI system which are

Length (meter, m)

Mass (kilogram, kg)

Time (second, s)

Temperature (kelvin, K)

Amount of substance (mole, mole)

Electric current (ampere, A)

Luminous intensity (candela, cd)

2. Derived units:These units are all those units that are obtained by multiplying and/or dividing one or more fundamental units with or without introducing any other numerical factor. These units can be reduced to their elementary level, which is composed of fundamental units. There exist a large number of derived units in the Metric System.

Examples:

Velocity (m/s)

Acceleration (m/s2)

Momentum (kg-m/s)

Force (N)

Density (kg/m3)

Heat (J)

Energy (J)

Power (W), etc.

Now, To change 1ml to ounces

divide 1ml by 29.574 this will give us value in ounces

Therefore, 1ml/29.574= 0.0338 ounces

hence,

           There is 0.0338 ounces in 1 ml.

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a. The MRS is constant (not diminishing) at 1/3.

U(x,y) = 3x + y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / 3

The MRS is constant (not diminishing) at 1/3.

b. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

The MRS is diminishing because as y increases, the MRS decreases.

c. The MRS is diminishing because as y increases, the MRS decreases.

U(x,y) = x * y

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = 1 / y

Similar to the previous case, the MRS is diminishing because as y increases, the MRS decreases.

d. The MRS depends on the ratio of y to x and can vary.

U(x,y) = x^2 - y^2

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -2y / 2x = -y / x

The MRS depends on the ratio of y to x and can vary. It is not necessarily diminishing.

e. The MRS depends on the values of x and y and can vary.

U(x,y) = x + y / (x * y)

The MRS for this utility function can be found by taking the partial derivative of x concerning y:

MRS = ∂U/∂y / ∂U/∂x = -1 / (y^2) + 1 / (x^2 * y)

The MRS depends on the values of x and y and can vary. It is not necessarily diminishing.

Now let's move on to the second part of the question:

For parts a, b, and c, we need more specific information about the utility functions, such as the values of α and β, to calculate the demand curves for x and y, the indirect utility function, and the expenditure function.

To show that the demand curve is homogeneous in degree zero in terms of income and prices, we need the specific functional form of the utility functions and information about the prices of x and y. Please provide the necessary details for parts A, b, and c to continue the analysis.

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Answer:

DE

Step-by-step explanation:

a tangent is a straight line that only touches the circle at one point.

Answer:

GCF=1  

Add=13

Multiply=30

Step-by-step explanation:

GCF:

   Factors of Ten= 10, 5, 2, 1

   Factors of Three= 3, 1

   Common factors = 1

Add:

   10+3 = 13

Multiply:

   10x3 = 30

Important notice:

/\2 = Power 2

Answer:

D. 1,047.2

Step-by-step explanation:

The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed.

The silo is made up of a cylinder with the height of 10 feet and base radius of 5 feet and two cones, each having the height of 5 feet and base radius of 5 feet.

The formulas volume of cylinder πr /\2 h and volume of cone 1/3  πr/\2h can be used to determine the tatol volume of the silo.

Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is:

V = π(5)/\2 (10) + (2) ( 1/3) π(5) /\2 (5)

= ( 4/3 ) (250)π

= 1,047.2 cubic feet.

Answer:

Just 4 and -4

Answer:

y=1/4x-3/4

Step-by-step explanation:

You just multiply 4/3 by -3

Answer:

Step two was incorrect

Step-by-step explanation:

when he solved

e/4 *4= 2.5*4

He said that 2.5*4=8 which is incorrect

It equals 10 so the actual answer is-

e=10

Answer:

80%

Step-by-step explanation:

Gross Pay = $3851

Deductions = $756.72

Take-home Pay = $3851 - $756.72 = $3,094.28

Ratio of take-home pay to gross pay = 3,094.28/3851 = 0.8035

As a percentage = 0.8035 x 100 = 80.35%

or approximately 80% to match the answer choice

Answer:

number of half gallons of ice cream the store bought=90 half gallons

Step-by-step explanation:

given data

bought ice cream = $2.30 per half gallon

one freezer malfunctioned and ruined  = 14 half gallons

ice cream is sold = $4.00 per half gallon

profit = $97.00

solution

we know here profit is express as

Profit = Money earned - Money spent       ...................1

and we consider here total number of gallons bought  = x

so Money earned =  $4(x-14)

Money spent   = $2.30(x)

so put here value and we get

$97 = $4(x-14) - $2.30(x)  

solve it we get

x = 90

so number of half gallons of ice cream the store bought=90 half gallons

Answer:

x45

Step-by-step explanation:

Answer:

3:6

Step-by-step explanation:

8:24 and 24:72 reduce down to 1:3. 3:6 is 1:2.

Answer:\(-\frac{4x^2y}{27}\)

Step-by-step explanation:

1.\((-3x^{2} y^5)^-3=-(3x^2y^5)^-3\)

2.\(\frac{-\left(3x^2y^5\right)^{-3}}{\left(2x^4y^8\right)^{-2}}\)

*Apply The Fraction Rule \(\frac{-a}{b} =-\frac{a}{b}\)*

3.\((2x^4y^8)^-2=\frac{1}{2^2 x^8 y^16}\)

4.\(-\frac{\left(3x^2y^5\right)^{-3}}{\frac{1}{2^2x^8y^{16}}}\)

5.\((3x^2y^5)^-3=\frac{1}{3^3 x^6 y^15}\)

6.\(=-\frac{\frac{1}{3^3x^6y^{15}}}{\frac{1}{2^2x^8y^{16}}}\)

7.\(=-\frac{\frac{1}{3^3x^6y^{15}}}{\frac{1}{2^2x^8y^{16}}}=\frac{2^2 x^8 y^16}{3^3 x^6 y^15}\)

8.\(=-\frac{2^2x^8y^{16}}{3^3x^6y^{15}}\)

*Subtract the numbers 8-6=2*

9.\(=\frac{2^2x^2y^{16}}{3^3y^{15}}\)

*apply the Exponent Rule \(\frac{x^a}{x^b} =x^a-b\)*

\(\frac{x^8}{x^6} =x^8^-^6\)

10.\(=\frac{2^2y^{16}x^{8-6}}{3^3y^{15}}\)

*Subtract the numbers 8-6=2

11.\(=\frac{2^2x^2y^{16}}{3^3y^{15}}\)

apply the Exponent Rule \(\frac{x^a}{x^b} =x^a-b\)*

\(\frac{y^16}{y^15} =y^16-^15\)

12.\(\frac{2^2x^2y^{16-15}}{3^3}\)

*Subtract the numbers 16-15=1

13.\(=-\frac{2^2x^2y}{3^3}\)

Final Answer:

14.\(=-\frac{4x^2y}{27}\)

I hope this helps :)

Brainlest Please!

Answer:

(1/3)(x - 4) = 1/6

Step-by-step explanation:

The equation that represents the sentence "1/3 times the difference of a number and 4 is 1/6" is:

(1/3)(x - 4) = 1/6

where x is the number being referred to.

The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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The  \($\vec{a}=\langle2,3\rangle$\) and \(\vec{b}=\langle-4,\frac{8}{3}\rangle$\)  are orthogonal.So, the value of k is 8/3.

A quantity or phenomenon with separate characteristics for both magnitude and direction is called a vector. The word can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, energy, electromagnetic fields, and weight are a few examples of vectors in nature.

Two vectors are orthogonal if and only if their dot product is zero. Therefore, we need to find the value of k such that the dot product of \($\vec{a}$\) and\($\vec{b}$\) \($\vec{b}$\)\(\vec{b}\) is zero.

The dot product of \($\vec{a}$\) and \($\vec{b}$\) is given by:

\($$\vec{a} \cdot \vec{b} = (2)(-4) + (3)(k) = -8 + 3k$$\)

For the vectors to be orthogonal, their dot product must be zero, so we set -8 + 3k = 0 and solve for k:

-8 + 3k = 0

3k = 8

\($k = \frac{8}{3}$$\)

Therefore, \($\vec{a}=\langle2,3\rangle$\) and \(\vec{b}=\langle-4,\frac{8}{3}\rangle$\)  are orthogonal.So, the value of k is 8/3.

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Answer:

the answer would be 66 minutes

Answer:

66 minutes was correct for me

Step-by-step explanation:

math

Answer:

x=8

Step-by-step explanation:

2.25x=1.5x+6

-1.5x     -1.5x

0.75x=6

3/4x=6

x=6*4/3

x=24/3

x=8

Answer:

8

Step-by-step explanation:

Look at the attachment

Answer:

346.4 cm^2

Step-by-step explanation:

area = base * height/2

We can use UW as the base.

U + V + W = 180

24 + V + 36 = 180

V = 120

\( \dfrac{\sin W}{UV} = \dfrac{\sin V}{UW} \)

\( \dfrac{\sin 36^\circ}{34} = \dfrac{\sin 120^\circ}{UW} \)

\( UW = \dfrac{34\sin 120^\circ}{\sin 36^\circ} \)

\( UW = 50.1 \)

Now drop a perpendicular from V to UW to be the height, h.

\(\sin 24^\circ = \dfrac{h}{UV}\)

\( \sin 24^\circ = \dfrac{h}{34} \)

\( h = 34 \sin 24^\circ \)

\( h = 13.8 \)

area = base * height/2

area = UW * h/2

area = 50.1 cm * 13.8 cm/2

area = 346.4 cm^2

The length of EC is given as follows:

EC = 70 feet.

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

For the angle of 83º, we have that:

Hence we apply the tangent ratio to obtain the length of EC as follows:

tan(83º) = EC/8.6

EC = 8.6 x tangent of 83 degrees

EC = 70 feet.

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Answer:

Step-by-step explanation:

\( \: \: \: \: \: \: \: \: \: \huge \color{green}{ \fbox \colorbox{black}{ \fbox{ \green {Answer} \: }}}\)

\( \longrightarrow \sf \color{teal}{ \cos {}^{2} (x) + 2 \cos(x) + 1} = 0\)

\( \longrightarrow \sf \color{teal}{ \cos {}^{2} (x) + \cos(x) + \cos(x) + 1} = 0\)

\( \longrightarrow \sf \color{teal}{ \cos {}^{} (x) ( \cos(x) + 1)+ 1(\cos(x) + 1} )= 0\)

\( \longrightarrow \sf \color{teal}{ ( \cos(x) + 1)(\cos(x) + 1} )= 0\)

\( \longrightarrow \sf \color{teal}{ ( (\cos(x) + 1} {}^{} ) {}^{2} = 0\)

\( \longrightarrow \sf \color{teal}{ ( (\cos(x) + 1} {}^{} ) {}^{} = 0\)

\( \longrightarrow \sf \color{teal}{ \cos(x) {}^{} }= - 1\)

\(\longrightarrow \sf \color{teal}{ x{}^{} }= \cos {}^{ - 1}( - 1)\)

\(\longrightarrow \sf \color{teal}{ x = (2n + 1) \pi \: \: \: \: rad}\)

where, \({ n \in \{whole \:\; number\}} \)

Principle value -

\( \longrightarrow \sf \color{teal}{ x} {}^{} {}^{} = \cos {}^{ - 1} ( - 1) \)

\( \longrightarrow \sf \color{teal}{ x} {}^{} {}^{} = (2n + 1) \pi \: \: \: \: rad \: \)

put n = 0

\( \longrightarrow \sf \color{teal}{ x} {}^{} {}^{} = (2(0) + 1) \pi \: \: \: \: rad \: \)

\( \longrightarrow \sf \color{teal}{ x} {}^{} {}^{} = (0 + 1) \pi \: \: \: \: rad \: \)

\( \longrightarrow \sf \color{teal}{ x} {}^{} {}^{} = \pi \: \: \: \: rad \: = 180 \degree\)

Answer:

paid to buy = 1850

profit = 10%

Step-by-step explanation:

2035 = 110%

1% ~ = 18.5

100% = 1850

2035 - 1850 = 185

185 / 1850 * 100 = 10% profit