find the equation of the plane tangent to the surface z = 3x2 3y3 at (2, 1, 15).

Answer:

57 dollar

Step-by-step explanation:

Answer:

what are the sets

Step-by-step explanation:

Answer:

$14.45

Step-by-step explanation:

To find the discount price of the item, we need to multiply the regular price by the discount percentage and then subtract that amount from the regular price.

The discount percentage is 85%, which is equal to 0.85 when expressed as a decimal. Therefore, the discount price of the item is 17 * (1 - 0.85) = 17 * 0.15 = $2.55.

Thus, Sam paid a total of $17 - $2.55 = $14.45 for the item.

The number of solutions that are viable is; D: There are 2 solutions and only 1 is viable.

For the Rose Only Aisle;

Let the bouquets of roses be X.

Let the number of roses per bouquet be r.

Thus;

Number of bouquets of roses = Xr - 4

Number of rose Aisles = 6

Number of bouquets of dahlias = 2

Patio seating area;

Number of bouquets of roses = 4

Number of bouquet of dahlias (d) = 8

For the rose only aisle, the equation is;

6(Xr - 4r) + 2d = 100

For the patio seating area, equation for number of flowers is;

4r + 8d = 132

We can see the two simultaneous equations and we can solve for r and d but only one of them will be viable.

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Answer:

  $0.04

Step-by-step explanation:

The cost per ounce is found by dividing the cost by the number of ounces.

In 2 gallons, there are 2×128 fl.oz. = 256 fl.oz. Then the cost per ounce is ...

  cost/ounces = $10.24/(256 fl.oz) = $0.04 /fl.oz.

The cost of the laundry detergent is $0.04 per fluid ounce.

__

Additional comment

Keeping the units with the numbers in a calculation can give you confidence that the calculated result has the units you want it to have.

The reliability of the given system is 0.4033.

To calculate the reliability of a system, we need to multiply the reliability values of all the components in the system. In this case, we have a system composed of three components with the following reliability values:

Component 1: 0.90

Component 2: 0.90 0.90 0.85

Component 3: 0.85 0.85 0.92

To find the overall system reliability, we multiply these values together:

System reliability = Component 1 reliability x Component 2 reliability x Component 3 reliability

System reliability = 0.90 x (0.90 x 0.90 x 0.85) x (0.85 x 0.85 *x 0.92)

System reliability ≈ 0.90 x 0.6831 x 0.6528 ≈ 0.4033

Therefore, the reliability of the given system is 0.4033.

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Answer:

a ratio that compares a selected number of parts. to the total number of parts in a whole.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

-2xy

-2(-1)(6)

2(6)

12

Answer:

12

Step-by-step explanation:

-2xy

and we know that x=-1 and y=6 so we just subsitute

-2 (-1) (6)

the answer is 12.

Answer:

The equation of the relationship is y = 1.25x + 6.5

Step-by-step explanation:

I graphed the ordered pairs on the graph below and found the slope and y-intercept of the line.

The price per game is $7.75. (If needed)

Answer:

9c + (-15c) + (-3c) = -9c

Step-by-step explanation:

9c + (-15c) + (-3c) =

9c - 15c - 3c =

-6c - 3c =

-9c

On solving the provided question, we can say that the equation  \(8x^3 - 1\)\(= (2x- I) (4x^2 + 2x + I)\) so, a = 2 and b = 1

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

here the equation is

\(8x^3 - 1\)

\(= (2x- I) (4x^2 + 2x + I)\)

so, a = 2 and b = 1

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The area of the sector formed by a central angle measuring 3π/2 radians for a circle with radius 4ft can be calculated using the formula: `A = (θ/2π)r²`, where `θ` is the central angle in radians and `r` is the radius of the circle. Hence, the correct option is (B) 37.68 ft².

Given that the radius `r = 4ft` and the central angle `θ = 3π/2`, we can calculate the area of the sector as follows: `

A = (θ/2π)r²

A = (3π/2 * 4²)/(2π)

A = 24/2

A = 12

So the area of the sector is `12ft²`. Therefore, the closest answer to this value among the options provided is `18.84ft²`. The area of the sector formed by a central angle measuring 3π/2 radius of a circle having radius of 4 feet can be calculated as follows:

Area of sector = (θ/2) × r² where θ is the central angle, and r is the radius.

θ = 3π/2, and r = 4

Therefore, Area of sector = (3π/2)/2 × 4²

Area of sector = (3π/4) × 16

Area of sector = 12π

Square units = 12 × 3.14

Square units = 37.68

Therefore, the area of the sector formed by a central angle measuring 3π/2 radius is 37.68 ft².  

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The wavelength of an atom is 3.28× 10−11 m when it is travelling at its root-mean-square speed at 20 °C. Decide on the atom. Consequently, M = 2 and the gas's molar mass is 2 kgmol−1 .

Radio waves, light waves, and infrared (heat) waves are examples of electromagnetic radiation that flow through space in distinct patterns. Every wave is a specific size and shape.

calculation

urms=  \(\sqrt{\frac{3RT}{M} }\)

and

λ=h/murms

⟹urms=h/mλ⟹

 \(\sqrt{\frac{3RT}{M} }\)=h/mλ

72.2 = 148.17 / M

M = 148.17/72 ≈ 2

Consequently, M = 2 and the gas's molar mass is 2  kgmol−1. A gas with a molecular mass of 2 kgmol-1, however, does not exist.

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Answer:

no solutions

Step-by-step explanation:

6n - 6n - 12 = 14 - 2 = 12 ( add 12 to both sides )

0 = 24 ← not possible

this indicates the equation has no solution

Answer:

Step-by-step explanation:

Given the expression (2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i), we are to take the product of all the complex values. We must note that i² = -1.

Rearranging the expression [(3 - i)(3 + i)] [(2 + i)(1 - i)](1 + 2i)

On expansion

(3 - i)(3 + i)

=  9+3i-3i-i²

= 9-(-1)

= 9+1

(3 - i)(3 + i) = 10

For the expression (2 + i)(1 - i), we have;

(2 + i)(1 - i)

= 2-2i+i-i²

= 2-i+1

= 3-i

Multiplying 3-i with the last expression (1 + 2i)

(2 + i)(1 - i)(1 + 2i)

= (3-i)(1+2i)

= 3+6i-i-2i²

= 3+5i-2(-1)

= 3+5i+2

= 5+5i

Finally,  [(3 - i)(3 + i)] [(2 + i)(1 - i)(1 + 2i)]

= 10(5+5i)

= 50+50i

Hence,  (3 - i)(3 + i)(2 + i)(1 - i)(1 + 2i) is equivalent to 50+50i

No, we cannot draw a triangle with sides 3 cm, 3.5 cm, and 6.5 cm.

Let's understand the concept behind this:

Apply the triangle's length-of-sides property, which stipulates that the total of any two sides should be more than the value of the third side. Such a triangle cannot exist if there is any pair of sides whose sum is equal to or less than the third side.

We must determine whether the supplied side lengths constitute a triangle. We now understand that the triangle's third side should be greater than the sum of any two of its sides. Such a triangle cannot exist if there is any pair of sides whose sum is equal to or less than the third side. So, we'll try every combination and see if it meets the criteria.

Let’s assume AB = 3 cm, BC = 3.5 cm and AC = 6.5 cm.

AB + AC = 3 + 6.5 cm = 9.5 cm > 3.5 cm = BC.

AC + BC = 6.5 + 3.5 = 10 cm > 3 cm = AB.

AB + BC = 3 + 3.5 cm  = 6.5 cm = AC.

However, in this case, the length of the third side is equal to the total lengths of the other two sides, which renders the triangle's condition incorrect.

Therefore, there does not exist any triangle with sides of 3 cm, 3.5 cm, and 6.5 cm.

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Answer:

-51 6/10 or -51 60/100

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

b. 1 inch : 5 miles is sure

A continuous variable does allow fractional amounts. a discrete variable  does not allow fractional amounts.

Which variables require boundaries, also known as real limits, in their measurement scales?

A researcher must utilize genuine limits, which are boundaries that are exactly halfway between adjacent categories, to specify the units for a continuous variable.

What distinguishes a ratio scale from an ordinal scale?

For continuous data, what kind of data would you use?

Line graphs, skews, and other data analysis techniques are used to measure continuous data. One of the most popular kinds of continuous data analysis is regression analysis.

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When using power tools, never engage the trigger lock. Before replacing parts such as bits, blades, or discs on any tool, you must disconnect the power source. Most hammer drills will not hammer until pressure is applied to the drill bit. A pneumatic drill is commonly used when there is no source of electricity.

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Using exponents, the radical expression can be written as √30 after rationalizing the denominator.

Variables, constants, and mathematical operations (such as addition, subtraction, multiplication, division, and exponentiation) can all be found in an algebraic equation.

In algebra and other areas of mathematics, algebraic expressions are used to depict connections between quantities and to resolve equations and issues. A radical expression is any mathematical formula that uses the radical (also known as the square root symbol) sign.

Here in the question,

The radical expression that we have is:

\(\frac{15\sqrt{6} }{3\sqrt{5} }\)

Now, this can be written as:

= \(\frac{3\sqrt{5} \sqrt{5} \sqrt{6}}{3\sqrt{5} }\)

Simplifying:

= √5 × √6

= √30

Therefore, the radical expression can be written as √30 after rationalizing the denominator.

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Step-by-step explanation:

1. 0 is less than both 3 and 2

2. 8 is less than both 16 and 9

3. 7 is less than both 8 and 12

4. 1 is less than both 2 and 6

5. 10 is less than both 16 and 11

6. 11 is less than both 12 and 13

7. 5 is less than both 6 and 9

Answer:

(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28

Answer:

10

And 4

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Solving  for x using the vertical angles we get , the value of x is: x = 20.

Here, we have,

from the given figure we get,

angle (2 + 3x) and angle62 are opposite angles.

we know that,

When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other.

so, we have,

angle (2 + 3x) = angle62

(2 + 3x) = 62

or, 3x = 60

or, x = 20

Hence, Solving  for x using the vertical angles we get , the value of x is: x = 20.

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The solution of the system of equation by substitution is x = 3 and y = -1.

System of equation can be solved using different techniques such as substitution method, elimination method and graphical method.

Let's solve the system of equation by substitution method

Therefore,

3x + 2y = 7

x = 3y + 6

Substitute equation(ii) in equation(i)

3(3y + 6) + 2y = 7

9y + 18 + 2y = 7

9y + 2y + 18 = 7

11y = 7 - 18

11y = -11

y = -11 / 11

y = -1

Hence, let's find x

x = 3(-1) + 6

x = -3 + 6

x = 3

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Answer:

105 cm²

Step-by-step explanation:

The figure is composed of a rectangle and a triangle

area of rectangle = 15 × 6 = 90 cm²

area of triangle = \(\frac{1}{2}\) bh ( b is the base and h the height )

Here b = 15 - 9 = 6 and h = 11 - 6 = 5 , thus

area of triangle = \(\frac{1}{2}\) × 6 × 5 = 3 × 5 = 15 cm²

Total area = 90 + 15 = 105 cm²

Answer:

Step-by-step explanation:

see attached

Answer:

19

Step-by-step explanation:

A' represents everything out A

B' represents everything out B

C' represents everything out C

So only the outside is left hope this helps